32.140 * [progress]: [Phase 1 of 3] Setting up.
0.001 * * * [progress]: [1/2] Preparing points
0.052 * * * [progress]: [2/2] Setting up program.
0.056 * [progress]: [Phase 2 of 3] Improving.
0.057 * [simplify]: Simplifying:
  (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2.0 i))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)) 1.0) 2.0)
0.057 * [simplify]: Sending expressions to egg_math:
 (/ (+ (/ (/ (* (+ h2 h1) (- h1 h2)) (+ (+ h2 h1) (* 2.0 h0))) (+ (+ (+ h2 h1) (* 2.0 h0)) 2.0)) 1.0) 2.0)
0.112 * * [progress]: iteration 1 / 4
0.112 * * * [progress]: picking best candidate
0.115 * * * * [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))>
0.115 * * * [progress]: localizing error
0.162 * * * [progress]: generating rewritten candidates
0.163 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1 1 1)
0.231 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1)
0.879 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1 1)
1.087 * * * [progress]: generating series expansions
1.087 * * * * [progress]: [ 1 / 3 ] generating series at (2 1 1 1)
1.087 * [backup-simplify]: Simplify (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2.0 i))) into (/ (* (+ alpha beta) (- beta alpha)) (+ alpha (+ (* 2.0 i) beta)))
1.087 * [approximate]: Taking taylor expansion of (/ (* (+ alpha beta) (- beta alpha)) (+ alpha (+ (* 2.0 i) beta))) in (alpha beta i) around 0
1.087 * [taylor]: Taking taylor expansion of (/ (* (+ alpha beta) (- beta alpha)) (+ alpha (+ (* 2.0 i) beta))) in i
1.087 * [taylor]: Taking taylor expansion of (* (+ alpha beta) (- beta alpha)) in i
1.087 * [taylor]: Taking taylor expansion of (+ alpha beta) in i
1.087 * [taylor]: Taking taylor expansion of alpha in i
1.087 * [backup-simplify]: Simplify alpha into alpha
1.087 * [taylor]: Taking taylor expansion of beta in i
1.087 * [backup-simplify]: Simplify beta into beta
1.087 * [taylor]: Taking taylor expansion of (- beta alpha) in i
1.087 * [taylor]: Taking taylor expansion of beta in i
1.087 * [backup-simplify]: Simplify beta into beta
1.087 * [taylor]: Taking taylor expansion of alpha in i
1.087 * [backup-simplify]: Simplify alpha into alpha
1.087 * [taylor]: Taking taylor expansion of (+ alpha (+ (* 2.0 i) beta)) in i
1.087 * [taylor]: Taking taylor expansion of alpha in i
1.088 * [backup-simplify]: Simplify alpha into alpha
1.088 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in i
1.088 * [taylor]: Taking taylor expansion of (* 2.0 i) in i
1.088 * [taylor]: Taking taylor expansion of 2.0 in i
1.088 * [backup-simplify]: Simplify 2.0 into 2.0
1.088 * [taylor]: Taking taylor expansion of i in i
1.088 * [backup-simplify]: Simplify 0 into 0
1.088 * [backup-simplify]: Simplify 1 into 1
1.088 * [taylor]: Taking taylor expansion of beta in i
1.088 * [backup-simplify]: Simplify beta into beta
1.088 * [backup-simplify]: Simplify (+ alpha beta) into (+ alpha beta)
1.088 * [backup-simplify]: Simplify (- alpha) into (- alpha)
1.088 * [backup-simplify]: Simplify (+ beta (- alpha)) into (- beta alpha)
1.088 * [backup-simplify]: Simplify (* (+ alpha beta) (- beta alpha)) into (* (+ alpha beta) (- beta alpha))
1.089 * [backup-simplify]: Simplify (* 2.0 0) into 0
1.089 * [backup-simplify]: Simplify (+ 0 beta) into beta
1.089 * [backup-simplify]: Simplify (+ alpha beta) into (+ alpha beta)
1.089 * [backup-simplify]: Simplify (/ (* (+ alpha beta) (- beta alpha)) (+ alpha beta)) into (- beta alpha)
1.089 * [taylor]: Taking taylor expansion of (/ (* (+ alpha beta) (- beta alpha)) (+ alpha (+ (* 2.0 i) beta))) in beta
1.089 * [taylor]: Taking taylor expansion of (* (+ alpha beta) (- beta alpha)) in beta
1.089 * [taylor]: Taking taylor expansion of (+ alpha beta) in beta
1.089 * [taylor]: Taking taylor expansion of alpha in beta
1.089 * [backup-simplify]: Simplify alpha into alpha
1.089 * [taylor]: Taking taylor expansion of beta in beta
1.089 * [backup-simplify]: Simplify 0 into 0
1.089 * [backup-simplify]: Simplify 1 into 1
1.089 * [taylor]: Taking taylor expansion of (- beta alpha) in beta
1.089 * [taylor]: Taking taylor expansion of beta in beta
1.089 * [backup-simplify]: Simplify 0 into 0
1.089 * [backup-simplify]: Simplify 1 into 1
1.089 * [taylor]: Taking taylor expansion of alpha in beta
1.089 * [backup-simplify]: Simplify alpha into alpha
1.089 * [taylor]: Taking taylor expansion of (+ alpha (+ (* 2.0 i) beta)) in beta
1.089 * [taylor]: Taking taylor expansion of alpha in beta
1.089 * [backup-simplify]: Simplify alpha into alpha
1.089 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
1.089 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
1.089 * [taylor]: Taking taylor expansion of 2.0 in beta
1.090 * [backup-simplify]: Simplify 2.0 into 2.0
1.090 * [taylor]: Taking taylor expansion of i in beta
1.090 * [backup-simplify]: Simplify i into i
1.090 * [taylor]: Taking taylor expansion of beta in beta
1.090 * [backup-simplify]: Simplify 0 into 0
1.090 * [backup-simplify]: Simplify 1 into 1
1.090 * [backup-simplify]: Simplify (+ alpha 0) into alpha
1.090 * [backup-simplify]: Simplify (- alpha) into (- alpha)
1.090 * [backup-simplify]: Simplify (+ 0 (- alpha)) into (- alpha)
1.090 * [backup-simplify]: Simplify (* alpha (- alpha)) into (* -1 (pow alpha 2))
1.090 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
1.090 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
1.090 * [backup-simplify]: Simplify (+ alpha (* 2.0 i)) into (+ alpha (* 2.0 i))
1.090 * [backup-simplify]: Simplify (/ (* -1 (pow alpha 2)) (+ alpha (* 2.0 i))) into (* -1 (/ (pow alpha 2) (+ alpha (* 2.0 i))))
1.090 * [taylor]: Taking taylor expansion of (/ (* (+ alpha beta) (- beta alpha)) (+ alpha (+ (* 2.0 i) beta))) in alpha
1.090 * [taylor]: Taking taylor expansion of (* (+ alpha beta) (- beta alpha)) in alpha
1.090 * [taylor]: Taking taylor expansion of (+ alpha beta) in alpha
1.090 * [taylor]: Taking taylor expansion of alpha in alpha
1.090 * [backup-simplify]: Simplify 0 into 0
1.090 * [backup-simplify]: Simplify 1 into 1
1.091 * [taylor]: Taking taylor expansion of beta in alpha
1.091 * [backup-simplify]: Simplify beta into beta
1.091 * [taylor]: Taking taylor expansion of (- beta alpha) in alpha
1.091 * [taylor]: Taking taylor expansion of beta in alpha
1.091 * [backup-simplify]: Simplify beta into beta
1.091 * [taylor]: Taking taylor expansion of alpha in alpha
1.091 * [backup-simplify]: Simplify 0 into 0
1.091 * [backup-simplify]: Simplify 1 into 1
1.091 * [taylor]: Taking taylor expansion of (+ alpha (+ (* 2.0 i) beta)) in alpha
1.091 * [taylor]: Taking taylor expansion of alpha in alpha
1.091 * [backup-simplify]: Simplify 0 into 0
1.091 * [backup-simplify]: Simplify 1 into 1
1.091 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in alpha
1.091 * [taylor]: Taking taylor expansion of (* 2.0 i) in alpha
1.091 * [taylor]: Taking taylor expansion of 2.0 in alpha
1.091 * [backup-simplify]: Simplify 2.0 into 2.0
1.091 * [taylor]: Taking taylor expansion of i in alpha
1.091 * [backup-simplify]: Simplify i into i
1.091 * [taylor]: Taking taylor expansion of beta in alpha
1.091 * [backup-simplify]: Simplify beta into beta
1.091 * [backup-simplify]: Simplify (+ 0 beta) into beta
1.091 * [backup-simplify]: Simplify (- 0) into 0
1.091 * [backup-simplify]: Simplify (+ beta 0) into beta
1.092 * [backup-simplify]: Simplify (* beta beta) into (pow beta 2)
1.092 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
1.092 * [backup-simplify]: Simplify (+ (* 2.0 i) beta) into (+ (* 2.0 i) beta)
1.092 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 i) beta)) into (+ (* 2.0 i) beta)
1.092 * [backup-simplify]: Simplify (/ (pow beta 2) (+ (* 2.0 i) beta)) into (/ (pow beta 2) (+ (* 2.0 i) beta))
1.092 * [taylor]: Taking taylor expansion of (/ (* (+ alpha beta) (- beta alpha)) (+ alpha (+ (* 2.0 i) beta))) in alpha
1.092 * [taylor]: Taking taylor expansion of (* (+ alpha beta) (- beta alpha)) in alpha
1.092 * [taylor]: Taking taylor expansion of (+ alpha beta) in alpha
1.092 * [taylor]: Taking taylor expansion of alpha in alpha
1.092 * [backup-simplify]: Simplify 0 into 0
1.092 * [backup-simplify]: Simplify 1 into 1
1.092 * [taylor]: Taking taylor expansion of beta in alpha
1.092 * [backup-simplify]: Simplify beta into beta
1.092 * [taylor]: Taking taylor expansion of (- beta alpha) in alpha
1.092 * [taylor]: Taking taylor expansion of beta in alpha
1.092 * [backup-simplify]: Simplify beta into beta
1.092 * [taylor]: Taking taylor expansion of alpha in alpha
1.092 * [backup-simplify]: Simplify 0 into 0
1.092 * [backup-simplify]: Simplify 1 into 1
1.092 * [taylor]: Taking taylor expansion of (+ alpha (+ (* 2.0 i) beta)) in alpha
1.092 * [taylor]: Taking taylor expansion of alpha in alpha
1.092 * [backup-simplify]: Simplify 0 into 0
1.092 * [backup-simplify]: Simplify 1 into 1
1.092 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in alpha
1.092 * [taylor]: Taking taylor expansion of (* 2.0 i) in alpha
1.092 * [taylor]: Taking taylor expansion of 2.0 in alpha
1.092 * [backup-simplify]: Simplify 2.0 into 2.0
1.092 * [taylor]: Taking taylor expansion of i in alpha
1.092 * [backup-simplify]: Simplify i into i
1.092 * [taylor]: Taking taylor expansion of beta in alpha
1.092 * [backup-simplify]: Simplify beta into beta
1.092 * [backup-simplify]: Simplify (+ 0 beta) into beta
1.093 * [backup-simplify]: Simplify (- 0) into 0
1.093 * [backup-simplify]: Simplify (+ beta 0) into beta
1.093 * [backup-simplify]: Simplify (* beta beta) into (pow beta 2)
1.093 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
1.093 * [backup-simplify]: Simplify (+ (* 2.0 i) beta) into (+ (* 2.0 i) beta)
1.093 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 i) beta)) into (+ (* 2.0 i) beta)
1.093 * [backup-simplify]: Simplify (/ (pow beta 2) (+ (* 2.0 i) beta)) into (/ (pow beta 2) (+ (* 2.0 i) beta))
1.093 * [taylor]: Taking taylor expansion of (/ (pow beta 2) (+ (* 2.0 i) beta)) in beta
1.093 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
1.093 * [taylor]: Taking taylor expansion of beta in beta
1.093 * [backup-simplify]: Simplify 0 into 0
1.093 * [backup-simplify]: Simplify 1 into 1
1.093 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
1.093 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
1.093 * [taylor]: Taking taylor expansion of 2.0 in beta
1.093 * [backup-simplify]: Simplify 2.0 into 2.0
1.093 * [taylor]: Taking taylor expansion of i in beta
1.093 * [backup-simplify]: Simplify i into i
1.093 * [taylor]: Taking taylor expansion of beta in beta
1.093 * [backup-simplify]: Simplify 0 into 0
1.093 * [backup-simplify]: Simplify 1 into 1
1.093 * [backup-simplify]: Simplify (* 1 1) into 1
1.094 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
1.094 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
1.094 * [backup-simplify]: Simplify (/ 1 (* 2.0 i)) into (/ 0.5 i)
1.094 * [backup-simplify]: Simplify (- 1) into -1
1.094 * [backup-simplify]: Simplify (+ 0 -1) into -1
1.094 * [backup-simplify]: Simplify (+ 1 0) into 1
1.095 * [backup-simplify]: Simplify (+ (* beta -1) (* 1 beta)) into 0
1.095 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 i)) into 0
1.095 * [backup-simplify]: Simplify (+ 0 0) into 0
1.095 * [backup-simplify]: Simplify (+ 1 0) into 1
1.096 * [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)))
1.096 * [taylor]: Taking taylor expansion of (- (/ (pow beta 2) (pow (+ (* 2.0 i) beta) 2))) in beta
1.096 * [taylor]: Taking taylor expansion of (/ (pow beta 2) (pow (+ (* 2.0 i) beta) 2)) in beta
1.096 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
1.096 * [taylor]: Taking taylor expansion of beta in beta
1.096 * [backup-simplify]: Simplify 0 into 0
1.096 * [backup-simplify]: Simplify 1 into 1
1.096 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 2) in beta
1.096 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
1.096 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
1.096 * [taylor]: Taking taylor expansion of 2.0 in beta
1.096 * [backup-simplify]: Simplify 2.0 into 2.0
1.096 * [taylor]: Taking taylor expansion of i in beta
1.096 * [backup-simplify]: Simplify i into i
1.096 * [taylor]: Taking taylor expansion of beta in beta
1.096 * [backup-simplify]: Simplify 0 into 0
1.096 * [backup-simplify]: Simplify 1 into 1
1.096 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
1.096 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
1.096 * [backup-simplify]: Simplify (* 1 1) into 1
1.096 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
1.097 * [backup-simplify]: Simplify (/ 1 (* 4.0 (pow i 2))) into (/ 0.25 (pow i 2))
1.097 * [backup-simplify]: Simplify (- 0) into 0
1.097 * [backup-simplify]: Simplify (+ 0 0) into 0
1.097 * [backup-simplify]: Simplify (+ 0 0) into 0
1.098 * [backup-simplify]: Simplify (+ (* beta 0) (+ (* 1 -1) (* 0 beta))) into (- 1)
1.098 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 i))) into 0
1.098 * [backup-simplify]: Simplify (+ 0 0) into 0
1.098 * [backup-simplify]: Simplify (+ 0 0) into 0
1.099 * [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)))
1.099 * [taylor]: Taking taylor expansion of (- (/ (pow beta 2) (pow (+ (* 2.0 i) beta) 3)) (/ 1 (+ (* 2.0 i) beta))) in beta
1.099 * [taylor]: Taking taylor expansion of (/ (pow beta 2) (pow (+ (* 2.0 i) beta) 3)) in beta
1.099 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
1.099 * [taylor]: Taking taylor expansion of beta in beta
1.099 * [backup-simplify]: Simplify 0 into 0
1.099 * [backup-simplify]: Simplify 1 into 1
1.100 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 3) in beta
1.100 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
1.100 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
1.100 * [taylor]: Taking taylor expansion of 2.0 in beta
1.100 * [backup-simplify]: Simplify 2.0 into 2.0
1.100 * [taylor]: Taking taylor expansion of i in beta
1.100 * [backup-simplify]: Simplify i into i
1.100 * [taylor]: Taking taylor expansion of beta in beta
1.100 * [backup-simplify]: Simplify 0 into 0
1.100 * [backup-simplify]: Simplify 1 into 1
1.100 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
1.100 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
1.100 * [backup-simplify]: Simplify (* 1 1) into 1
1.100 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
1.100 * [backup-simplify]: Simplify (* (* 2.0 i) (* 4.0 (pow i 2))) into (* 8.0 (pow i 3))
1.100 * [backup-simplify]: Simplify (/ 1 (* 8.0 (pow i 3))) into (/ 0.125 (pow i 3))
1.100 * [taylor]: Taking taylor expansion of (/ 1 (+ (* 2.0 i) beta)) in beta
1.100 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
1.100 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
1.100 * [taylor]: Taking taylor expansion of 2.0 in beta
1.100 * [backup-simplify]: Simplify 2.0 into 2.0
1.100 * [taylor]: Taking taylor expansion of i in beta
1.100 * [backup-simplify]: Simplify i into i
1.101 * [taylor]: Taking taylor expansion of beta in beta
1.101 * [backup-simplify]: Simplify 0 into 0
1.101 * [backup-simplify]: Simplify 1 into 1
1.101 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
1.101 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
1.101 * [backup-simplify]: Simplify (/ 1 (* 2.0 i)) into (/ 0.5 i)
1.101 * [backup-simplify]: Simplify (- (/ 0.5 i)) into (- (* 0.5 (/ 1 i)))
1.101 * [backup-simplify]: Simplify (+ 0 (- (* 0.5 (/ 1 i)))) into (- (* 0.5 (/ 1 i)))
1.101 * [taylor]: Taking taylor expansion of (- (* 0.5 (/ 1 i))) in i
1.101 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 i)) in i
1.101 * [taylor]: Taking taylor expansion of 0.5 in i
1.101 * [backup-simplify]: Simplify 0.5 into 0.5
1.101 * [taylor]: Taking taylor expansion of (/ 1 i) in i
1.101 * [taylor]: Taking taylor expansion of i in i
1.101 * [backup-simplify]: Simplify 0 into 0
1.101 * [backup-simplify]: Simplify 1 into 1
1.102 * [backup-simplify]: Simplify (/ 1 1) into 1
1.102 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.103 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0
1.103 * [backup-simplify]: Simplify (- 0) into 0
1.103 * [backup-simplify]: Simplify 0 into 0
1.103 * [taylor]: Taking taylor expansion of (/ 0.5 i) in i
1.103 * [taylor]: Taking taylor expansion of 0.5 in i
1.103 * [backup-simplify]: Simplify 0.5 into 0.5
1.103 * [taylor]: Taking taylor expansion of i in i
1.103 * [backup-simplify]: Simplify 0 into 0
1.103 * [backup-simplify]: Simplify 1 into 1
1.104 * [backup-simplify]: Simplify (/ 0.5 1) into 0.5
1.105 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.5 (/ 0 1)))) into 0
1.105 * [backup-simplify]: Simplify 0 into 0
1.105 * [backup-simplify]: Simplify (- 0) into 0
1.105 * [backup-simplify]: Simplify (+ 0 0) into 0
1.105 * [backup-simplify]: Simplify (+ 0 0) into 0
1.106 * [backup-simplify]: Simplify (+ (* beta 0) (+ (* 1 0) (+ (* 0 -1) (* 0 beta)))) into 0
1.107 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 i)))) into 0
1.107 * [backup-simplify]: Simplify (+ 0 0) into 0
1.107 * [backup-simplify]: Simplify (+ 0 0) into 0
1.108 * [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)))
1.108 * [taylor]: Taking taylor expansion of (- (/ 1 (pow (+ (* 2.0 i) beta) 2)) (/ (pow beta 2) (pow (+ (* 2.0 i) beta) 4))) in beta
1.108 * [taylor]: Taking taylor expansion of (/ 1 (pow (+ (* 2.0 i) beta) 2)) in beta
1.108 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 2) in beta
1.108 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
1.108 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
1.108 * [taylor]: Taking taylor expansion of 2.0 in beta
1.108 * [backup-simplify]: Simplify 2.0 into 2.0
1.108 * [taylor]: Taking taylor expansion of i in beta
1.108 * [backup-simplify]: Simplify i into i
1.108 * [taylor]: Taking taylor expansion of beta in beta
1.108 * [backup-simplify]: Simplify 0 into 0
1.108 * [backup-simplify]: Simplify 1 into 1
1.108 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
1.108 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
1.108 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
1.108 * [backup-simplify]: Simplify (/ 1 (* 4.0 (pow i 2))) into (/ 0.25 (pow i 2))
1.109 * [taylor]: Taking taylor expansion of (/ (pow beta 2) (pow (+ (* 2.0 i) beta) 4)) in beta
1.109 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
1.109 * [taylor]: Taking taylor expansion of beta in beta
1.109 * [backup-simplify]: Simplify 0 into 0
1.109 * [backup-simplify]: Simplify 1 into 1
1.109 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 4) in beta
1.109 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
1.109 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
1.109 * [taylor]: Taking taylor expansion of 2.0 in beta
1.109 * [backup-simplify]: Simplify 2.0 into 2.0
1.109 * [taylor]: Taking taylor expansion of i in beta
1.109 * [backup-simplify]: Simplify i into i
1.109 * [taylor]: Taking taylor expansion of beta in beta
1.109 * [backup-simplify]: Simplify 0 into 0
1.109 * [backup-simplify]: Simplify 1 into 1
1.109 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
1.109 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
1.109 * [backup-simplify]: Simplify (* 1 1) into 1
1.109 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
1.109 * [backup-simplify]: Simplify (* (* 4.0 (pow i 2)) (* 4.0 (pow i 2))) into (* 16.0 (pow i 4))
1.109 * [backup-simplify]: Simplify (/ 1 (* 16.0 (pow i 4))) into (/ 0.0625 (pow i 4))
1.110 * [backup-simplify]: Simplify (+ (/ 0.25 (pow i 2)) 0) into (* 0.25 (/ 1 (pow i 2)))
1.110 * [taylor]: Taking taylor expansion of (* 0.25 (/ 1 (pow i 2))) in i
1.110 * [taylor]: Taking taylor expansion of 0.25 in i
1.110 * [backup-simplify]: Simplify 0.25 into 0.25
1.110 * [taylor]: Taking taylor expansion of (/ 1 (pow i 2)) in i
1.110 * [taylor]: Taking taylor expansion of (pow i 2) in i
1.110 * [taylor]: Taking taylor expansion of i in i
1.110 * [backup-simplify]: Simplify 0 into 0
1.110 * [backup-simplify]: Simplify 1 into 1
1.110 * [backup-simplify]: Simplify (* 1 1) into 1
1.110 * [backup-simplify]: Simplify (/ 1 1) into 1
1.111 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.111 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.112 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.112 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.113 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 0) (* 0 1))) into 0
1.113 * [backup-simplify]: Simplify 0 into 0
1.113 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 i)) into 0
1.113 * [backup-simplify]: Simplify (+ 0 1) into 1
1.114 * [backup-simplify]: Simplify (- (+ (* (/ 0.5 i) (/ 1 (* 2.0 i))))) into (- (* 0.25 (/ 1 (pow i 2))))
1.114 * [backup-simplify]: Simplify (- (- (* 0.25 (/ 1 (pow i 2))))) into (* 0.25 (/ 1 (pow i 2)))
1.114 * [backup-simplify]: Simplify (+ 0 (* 0.25 (/ 1 (pow i 2)))) into (* 0.25 (/ 1 (pow i 2)))
1.114 * [taylor]: Taking taylor expansion of (* 0.25 (/ 1 (pow i 2))) in i
1.114 * [taylor]: Taking taylor expansion of 0.25 in i
1.114 * [backup-simplify]: Simplify 0.25 into 0.25
1.114 * [taylor]: Taking taylor expansion of (/ 1 (pow i 2)) in i
1.114 * [taylor]: Taking taylor expansion of (pow i 2) in i
1.114 * [taylor]: Taking taylor expansion of i in i
1.114 * [backup-simplify]: Simplify 0 into 0
1.114 * [backup-simplify]: Simplify 1 into 1
1.114 * [backup-simplify]: Simplify (* 1 1) into 1
1.114 * [backup-simplify]: Simplify (/ 1 1) into 1
1.115 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.115 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.116 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.116 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.117 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 0) (* 0 1))) into 0
1.117 * [backup-simplify]: Simplify 0 into 0
1.117 * [backup-simplify]: Simplify (- (/ 0.25 (pow i 2))) into (- (* 0.25 (/ 1 (pow i 2))))
1.117 * [taylor]: Taking taylor expansion of (- (* 0.25 (/ 1 (pow i 2)))) in i
1.117 * [taylor]: Taking taylor expansion of (* 0.25 (/ 1 (pow i 2))) in i
1.117 * [taylor]: Taking taylor expansion of 0.25 in i
1.117 * [backup-simplify]: Simplify 0.25 into 0.25
1.117 * [taylor]: Taking taylor expansion of (/ 1 (pow i 2)) in i
1.117 * [taylor]: Taking taylor expansion of (pow i 2) in i
1.117 * [taylor]: Taking taylor expansion of i in i
1.117 * [backup-simplify]: Simplify 0 into 0
1.117 * [backup-simplify]: Simplify 1 into 1
1.117 * [backup-simplify]: Simplify (* 1 1) into 1
1.118 * [backup-simplify]: Simplify (/ 1 1) into 1
1.118 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.118 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.119 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.119 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.120 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 0) (* 0 1))) into 0
1.120 * [backup-simplify]: Simplify (- 0) into 0
1.120 * [backup-simplify]: Simplify 0 into 0
1.121 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.121 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 i)) into 0
1.121 * [backup-simplify]: Simplify (+ 0 1) into 1
1.121 * [backup-simplify]: Simplify (- (/ 0 (* 2.0 i)) (+ (* (/ 0.5 i) (/ 1 (* 2.0 i))))) into (- (* 0.25 (/ 1 (pow i 2))))
1.121 * [taylor]: Taking taylor expansion of (- (* 0.25 (/ 1 (pow i 2)))) in i
1.121 * [taylor]: Taking taylor expansion of (* 0.25 (/ 1 (pow i 2))) in i
1.121 * [taylor]: Taking taylor expansion of 0.25 in i
1.121 * [backup-simplify]: Simplify 0.25 into 0.25
1.121 * [taylor]: Taking taylor expansion of (/ 1 (pow i 2)) in i
1.121 * [taylor]: Taking taylor expansion of (pow i 2) in i
1.121 * [taylor]: Taking taylor expansion of i in i
1.122 * [backup-simplify]: Simplify 0 into 0
1.122 * [backup-simplify]: Simplify 1 into 1
1.122 * [backup-simplify]: Simplify (* 1 1) into 1
1.122 * [backup-simplify]: Simplify (/ 1 1) into 1
1.123 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.123 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.123 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.124 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.125 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 0) (* 0 1))) into 0
1.125 * [backup-simplify]: Simplify (- 0) into 0
1.125 * [backup-simplify]: Simplify 0 into 0
1.125 * [backup-simplify]: Simplify 0 into 0
1.126 * [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))))
1.126 * [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
1.126 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 alpha) (/ 1 beta)) (- (/ 1 beta) (/ 1 alpha))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) in i
1.126 * [taylor]: Taking taylor expansion of (* (+ (/ 1 alpha) (/ 1 beta)) (- (/ 1 beta) (/ 1 alpha))) in i
1.126 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (/ 1 beta)) in i
1.126 * [taylor]: Taking taylor expansion of (/ 1 alpha) in i
1.126 * [taylor]: Taking taylor expansion of alpha in i
1.126 * [backup-simplify]: Simplify alpha into alpha
1.126 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
1.126 * [taylor]: Taking taylor expansion of (/ 1 beta) in i
1.126 * [taylor]: Taking taylor expansion of beta in i
1.126 * [backup-simplify]: Simplify beta into beta
1.126 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
1.126 * [taylor]: Taking taylor expansion of (- (/ 1 beta) (/ 1 alpha)) in i
1.126 * [taylor]: Taking taylor expansion of (/ 1 beta) in i
1.126 * [taylor]: Taking taylor expansion of beta in i
1.126 * [backup-simplify]: Simplify beta into beta
1.126 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
1.126 * [taylor]: Taking taylor expansion of (/ 1 alpha) in i
1.126 * [taylor]: Taking taylor expansion of alpha in i
1.126 * [backup-simplify]: Simplify alpha into alpha
1.126 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
1.126 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in i
1.126 * [taylor]: Taking taylor expansion of (/ 1 alpha) in i
1.126 * [taylor]: Taking taylor expansion of alpha in i
1.126 * [backup-simplify]: Simplify alpha into alpha
1.126 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
1.126 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in i
1.126 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in i
1.126 * [taylor]: Taking taylor expansion of 2.0 in i
1.126 * [backup-simplify]: Simplify 2.0 into 2.0
1.126 * [taylor]: Taking taylor expansion of (/ 1 i) in i
1.126 * [taylor]: Taking taylor expansion of i in i
1.126 * [backup-simplify]: Simplify 0 into 0
1.126 * [backup-simplify]: Simplify 1 into 1
1.127 * [backup-simplify]: Simplify (/ 1 1) into 1
1.127 * [taylor]: Taking taylor expansion of (/ 1 beta) in i
1.127 * [taylor]: Taking taylor expansion of beta in i
1.127 * [backup-simplify]: Simplify beta into beta
1.127 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
1.127 * [backup-simplify]: Simplify (+ (/ 1 alpha) (/ 1 beta)) into (+ (/ 1 alpha) (/ 1 beta))
1.127 * [backup-simplify]: Simplify (- (/ 1 alpha)) into (- (/ 1 alpha))
1.127 * [backup-simplify]: Simplify (+ (/ 1 beta) (- (/ 1 alpha))) into (- (/ 1 beta) (/ 1 alpha))
1.127 * [backup-simplify]: Simplify (* (+ (/ 1 alpha) (/ 1 beta)) (- (/ 1 beta) (/ 1 alpha))) into (* (+ (/ 1 alpha) (/ 1 beta)) (- (/ 1 beta) (/ 1 alpha)))
1.127 * [backup-simplify]: Simplify (* 2.0 1) into 2.0
1.128 * [backup-simplify]: Simplify (+ 2.0 0) into 2.0
1.128 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
1.128 * [backup-simplify]: Simplify (/ (* (+ (/ 1 alpha) (/ 1 beta)) (- (/ 1 beta) (/ 1 alpha))) 2.0) into (* 0.5 (* (+ (/ 1 alpha) (/ 1 beta)) (- (/ 1 beta) (/ 1 alpha))))
1.128 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 alpha) (/ 1 beta)) (- (/ 1 beta) (/ 1 alpha))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) in beta
1.128 * [taylor]: Taking taylor expansion of (* (+ (/ 1 alpha) (/ 1 beta)) (- (/ 1 beta) (/ 1 alpha))) in beta
1.128 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (/ 1 beta)) in beta
1.128 * [taylor]: Taking taylor expansion of (/ 1 alpha) in beta
1.128 * [taylor]: Taking taylor expansion of alpha in beta
1.128 * [backup-simplify]: Simplify alpha into alpha
1.128 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
1.128 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
1.128 * [taylor]: Taking taylor expansion of beta in beta
1.128 * [backup-simplify]: Simplify 0 into 0
1.128 * [backup-simplify]: Simplify 1 into 1
1.129 * [backup-simplify]: Simplify (/ 1 1) into 1
1.129 * [taylor]: Taking taylor expansion of (- (/ 1 beta) (/ 1 alpha)) in beta
1.129 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
1.129 * [taylor]: Taking taylor expansion of beta in beta
1.129 * [backup-simplify]: Simplify 0 into 0
1.129 * [backup-simplify]: Simplify 1 into 1
1.129 * [backup-simplify]: Simplify (/ 1 1) into 1
1.129 * [taylor]: Taking taylor expansion of (/ 1 alpha) in beta
1.129 * [taylor]: Taking taylor expansion of alpha in beta
1.129 * [backup-simplify]: Simplify alpha into alpha
1.129 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
1.129 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in beta
1.129 * [taylor]: Taking taylor expansion of (/ 1 alpha) in beta
1.129 * [taylor]: Taking taylor expansion of alpha in beta
1.129 * [backup-simplify]: Simplify alpha into alpha
1.129 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
1.129 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in beta
1.129 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in beta
1.129 * [taylor]: Taking taylor expansion of 2.0 in beta
1.129 * [backup-simplify]: Simplify 2.0 into 2.0
1.129 * [taylor]: Taking taylor expansion of (/ 1 i) in beta
1.129 * [taylor]: Taking taylor expansion of i in beta
1.129 * [backup-simplify]: Simplify i into i
1.129 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
1.129 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
1.129 * [taylor]: Taking taylor expansion of beta in beta
1.129 * [backup-simplify]: Simplify 0 into 0
1.129 * [backup-simplify]: Simplify 1 into 1
1.129 * [backup-simplify]: Simplify (/ 1 1) into 1
1.130 * [backup-simplify]: Simplify (+ 0 1) into 1
1.130 * [backup-simplify]: Simplify (+ 1 0) into 1
1.130 * [backup-simplify]: Simplify (* 1 1) into 1
1.130 * [backup-simplify]: Simplify (+ 0 1) into 1
1.131 * [backup-simplify]: Simplify (+ 0 1) into 1
1.131 * [backup-simplify]: Simplify (/ 1 1) into 1
1.131 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 alpha) (/ 1 beta)) (- (/ 1 beta) (/ 1 alpha))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) in alpha
1.131 * [taylor]: Taking taylor expansion of (* (+ (/ 1 alpha) (/ 1 beta)) (- (/ 1 beta) (/ 1 alpha))) in alpha
1.131 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (/ 1 beta)) in alpha
1.131 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
1.131 * [taylor]: Taking taylor expansion of alpha in alpha
1.131 * [backup-simplify]: Simplify 0 into 0
1.131 * [backup-simplify]: Simplify 1 into 1
1.131 * [backup-simplify]: Simplify (/ 1 1) into 1
1.131 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
1.131 * [taylor]: Taking taylor expansion of beta in alpha
1.131 * [backup-simplify]: Simplify beta into beta
1.131 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
1.131 * [taylor]: Taking taylor expansion of (- (/ 1 beta) (/ 1 alpha)) in alpha
1.131 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
1.132 * [taylor]: Taking taylor expansion of beta in alpha
1.132 * [backup-simplify]: Simplify beta into beta
1.132 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
1.132 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
1.132 * [taylor]: Taking taylor expansion of alpha in alpha
1.132 * [backup-simplify]: Simplify 0 into 0
1.132 * [backup-simplify]: Simplify 1 into 1
1.132 * [backup-simplify]: Simplify (/ 1 1) into 1
1.132 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in alpha
1.132 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
1.132 * [taylor]: Taking taylor expansion of alpha in alpha
1.132 * [backup-simplify]: Simplify 0 into 0
1.132 * [backup-simplify]: Simplify 1 into 1
1.132 * [backup-simplify]: Simplify (/ 1 1) into 1
1.132 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in alpha
1.132 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
1.132 * [taylor]: Taking taylor expansion of 2.0 in alpha
1.132 * [backup-simplify]: Simplify 2.0 into 2.0
1.132 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
1.132 * [taylor]: Taking taylor expansion of i in alpha
1.132 * [backup-simplify]: Simplify i into i
1.132 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
1.132 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
1.132 * [taylor]: Taking taylor expansion of beta in alpha
1.132 * [backup-simplify]: Simplify beta into beta
1.132 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
1.133 * [backup-simplify]: Simplify (+ 1 0) into 1
1.133 * [backup-simplify]: Simplify (- 1) into -1
1.133 * [backup-simplify]: Simplify (+ 0 -1) into -1
1.133 * [backup-simplify]: Simplify (* 1 -1) into -1
1.134 * [backup-simplify]: Simplify (+ 1 0) into 1
1.134 * [backup-simplify]: Simplify (/ -1 1) into -1
1.134 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 alpha) (/ 1 beta)) (- (/ 1 beta) (/ 1 alpha))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) in alpha
1.134 * [taylor]: Taking taylor expansion of (* (+ (/ 1 alpha) (/ 1 beta)) (- (/ 1 beta) (/ 1 alpha))) in alpha
1.134 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (/ 1 beta)) in alpha
1.134 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
1.134 * [taylor]: Taking taylor expansion of alpha in alpha
1.134 * [backup-simplify]: Simplify 0 into 0
1.134 * [backup-simplify]: Simplify 1 into 1
1.134 * [backup-simplify]: Simplify (/ 1 1) into 1
1.134 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
1.134 * [taylor]: Taking taylor expansion of beta in alpha
1.134 * [backup-simplify]: Simplify beta into beta
1.134 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
1.134 * [taylor]: Taking taylor expansion of (- (/ 1 beta) (/ 1 alpha)) in alpha
1.134 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
1.134 * [taylor]: Taking taylor expansion of beta in alpha
1.134 * [backup-simplify]: Simplify beta into beta
1.134 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
1.135 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
1.135 * [taylor]: Taking taylor expansion of alpha in alpha
1.135 * [backup-simplify]: Simplify 0 into 0
1.135 * [backup-simplify]: Simplify 1 into 1
1.135 * [backup-simplify]: Simplify (/ 1 1) into 1
1.135 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in alpha
1.135 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
1.135 * [taylor]: Taking taylor expansion of alpha in alpha
1.135 * [backup-simplify]: Simplify 0 into 0
1.135 * [backup-simplify]: Simplify 1 into 1
1.135 * [backup-simplify]: Simplify (/ 1 1) into 1
1.135 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in alpha
1.135 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
1.135 * [taylor]: Taking taylor expansion of 2.0 in alpha
1.135 * [backup-simplify]: Simplify 2.0 into 2.0
1.135 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
1.135 * [taylor]: Taking taylor expansion of i in alpha
1.135 * [backup-simplify]: Simplify i into i
1.135 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
1.135 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
1.135 * [taylor]: Taking taylor expansion of beta in alpha
1.135 * [backup-simplify]: Simplify beta into beta
1.135 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
1.136 * [backup-simplify]: Simplify (+ 1 0) into 1
1.136 * [backup-simplify]: Simplify (- 1) into -1
1.137 * [backup-simplify]: Simplify (+ 0 -1) into -1
1.137 * [backup-simplify]: Simplify (* 1 -1) into -1
1.137 * [backup-simplify]: Simplify (+ 1 0) into 1
1.138 * [backup-simplify]: Simplify (/ -1 1) into -1
1.138 * [taylor]: Taking taylor expansion of -1 in beta
1.138 * [backup-simplify]: Simplify -1 into -1
1.139 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.139 * [backup-simplify]: Simplify (- 0) into 0
1.139 * [backup-simplify]: Simplify (+ (/ 1 beta) 0) into (/ 1 beta)
1.140 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.140 * [backup-simplify]: Simplify (+ 0 (/ 1 beta)) into (/ 1 beta)
1.140 * [backup-simplify]: Simplify (+ (* 1 (/ 1 beta)) (* (/ 1 beta) -1)) into 0
1.141 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.141 * [backup-simplify]: Simplify (* 2.0 (/ 1 i)) into (/ 2.0 i)
1.141 * [backup-simplify]: Simplify (+ (/ 2.0 i) (/ 1 beta)) into (+ (* 2.0 (/ 1 i)) (/ 1 beta))
1.141 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 (/ 1 i)) (/ 1 beta))) into (+ (* 2.0 (/ 1 i)) (/ 1 beta))
1.142 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ (+ (* 2.0 (/ 1 i)) (/ 1 beta)) 1)))) into (+ (* 2.0 (/ 1 i)) (/ 1 beta))
1.142 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in beta
1.142 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in beta
1.142 * [taylor]: Taking taylor expansion of 2.0 in beta
1.142 * [backup-simplify]: Simplify 2.0 into 2.0
1.142 * [taylor]: Taking taylor expansion of (/ 1 i) in beta
1.142 * [taylor]: Taking taylor expansion of i in beta
1.142 * [backup-simplify]: Simplify i into i
1.142 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
1.142 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
1.142 * [taylor]: Taking taylor expansion of beta in beta
1.142 * [backup-simplify]: Simplify 0 into 0
1.142 * [backup-simplify]: Simplify 1 into 1
1.143 * [backup-simplify]: Simplify (/ 1 1) into 1
1.143 * [backup-simplify]: Simplify (+ 0 1) into 1
1.143 * [taylor]: Taking taylor expansion of 1 in i
1.143 * [backup-simplify]: Simplify 1 into 1
1.143 * [backup-simplify]: Simplify 0 into 0
1.143 * [taylor]: Taking taylor expansion of -1 in i
1.143 * [backup-simplify]: Simplify -1 into -1
1.143 * [backup-simplify]: Simplify 0 into 0
1.144 * [backup-simplify]: Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
1.144 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.145 * [backup-simplify]: Simplify (- 0) into 0
1.145 * [backup-simplify]: Simplify (+ 0 0) into 0
1.146 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.146 * [backup-simplify]: Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
1.146 * [backup-simplify]: Simplify (+ 0 0) into 0
1.151 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 beta) (/ 1 beta)) (* 0 -1))) into (/ 1 (pow beta 2))
1.152 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.152 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
1.152 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 (/ 1 i))) into 0
1.152 * [backup-simplify]: Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
1.153 * [backup-simplify]: Simplify (+ 0 0) into 0
1.153 * [backup-simplify]: Simplify (+ 0 0) into 0
1.154 * [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)))))
1.154 * [taylor]: Taking taylor expansion of (- (+ (* 4.0 (/ 1 (pow i 2))) (* 4.0 (/ 1 (* i beta))))) in beta
1.154 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 (pow i 2))) (* 4.0 (/ 1 (* i beta)))) in beta
1.154 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow i 2))) in beta
1.155 * [taylor]: Taking taylor expansion of 4.0 in beta
1.155 * [backup-simplify]: Simplify 4.0 into 4.0
1.155 * [taylor]: Taking taylor expansion of (/ 1 (pow i 2)) in beta
1.155 * [taylor]: Taking taylor expansion of (pow i 2) in beta
1.155 * [taylor]: Taking taylor expansion of i in beta
1.155 * [backup-simplify]: Simplify i into i
1.155 * [backup-simplify]: Simplify (* i i) into (pow i 2)
1.155 * [backup-simplify]: Simplify (/ 1 (pow i 2)) into (/ 1 (pow i 2))
1.155 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (* i beta))) in beta
1.155 * [taylor]: Taking taylor expansion of 4.0 in beta
1.155 * [backup-simplify]: Simplify 4.0 into 4.0
1.155 * [taylor]: Taking taylor expansion of (/ 1 (* i beta)) in beta
1.155 * [taylor]: Taking taylor expansion of (* i beta) in beta
1.155 * [taylor]: Taking taylor expansion of i in beta
1.155 * [backup-simplify]: Simplify i into i
1.155 * [taylor]: Taking taylor expansion of beta in beta
1.155 * [backup-simplify]: Simplify 0 into 0
1.155 * [backup-simplify]: Simplify 1 into 1
1.155 * [backup-simplify]: Simplify (* i 0) into 0
1.156 * [backup-simplify]: Simplify (+ (* i 1) (* 0 0)) into i
1.156 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
1.156 * [backup-simplify]: Simplify (* 4.0 (/ 1 i)) into (/ 4.0 i)
1.156 * [backup-simplify]: Simplify (+ 0 (/ 4.0 i)) into (* 4.0 (/ 1 i))
1.156 * [backup-simplify]: Simplify (- (* 4.0 (/ 1 i))) into (- (* 4.0 (/ 1 i)))
1.156 * [taylor]: Taking taylor expansion of (- (* 4.0 (/ 1 i))) in i
1.156 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 i)) in i
1.156 * [taylor]: Taking taylor expansion of 4.0 in i
1.156 * [backup-simplify]: Simplify 4.0 into 4.0
1.156 * [taylor]: Taking taylor expansion of (/ 1 i) in i
1.156 * [taylor]: Taking taylor expansion of i in i
1.156 * [backup-simplify]: Simplify 0 into 0
1.156 * [backup-simplify]: Simplify 1 into 1
1.156 * [backup-simplify]: Simplify (/ 1 1) into 1
1.157 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.158 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.159 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 1))) into 0
1.159 * [backup-simplify]: Simplify (- 0) into 0
1.159 * [backup-simplify]: Simplify 0 into 0
1.159 * [backup-simplify]: Simplify (* 2.0 (/ 1 i)) into (/ 2.0 i)
1.160 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.160 * [backup-simplify]: Simplify (+ (/ 2.0 i) 0) into (* 2.0 (/ 1 i))
1.160 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in i
1.160 * [taylor]: Taking taylor expansion of 2.0 in i
1.160 * [backup-simplify]: Simplify 2.0 into 2.0
1.160 * [taylor]: Taking taylor expansion of (/ 1 i) in i
1.160 * [taylor]: Taking taylor expansion of i in i
1.160 * [backup-simplify]: Simplify 0 into 0
1.160 * [backup-simplify]: Simplify 1 into 1
1.160 * [backup-simplify]: Simplify (/ 1 1) into 1
1.161 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.162 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.163 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 1))) into 0
1.163 * [backup-simplify]: Simplify 0 into 0
1.163 * [taylor]: Taking taylor expansion of 0 in i
1.163 * [backup-simplify]: Simplify 0 into 0
1.163 * [backup-simplify]: Simplify 0 into 0
1.163 * [backup-simplify]: Simplify 0 into 0
1.163 * [backup-simplify]: Simplify 0 into 0
1.164 * [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))))
1.164 * [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
1.164 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 alpha) (/ 1 beta)) (+ (/ 1 alpha) (/ 1 beta))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) in i
1.164 * [taylor]: Taking taylor expansion of (* (- (/ 1 alpha) (/ 1 beta)) (+ (/ 1 alpha) (/ 1 beta))) in i
1.164 * [taylor]: Taking taylor expansion of (- (/ 1 alpha) (/ 1 beta)) in i
1.164 * [taylor]: Taking taylor expansion of (/ 1 alpha) in i
1.164 * [taylor]: Taking taylor expansion of alpha in i
1.164 * [backup-simplify]: Simplify alpha into alpha
1.164 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
1.164 * [taylor]: Taking taylor expansion of (/ 1 beta) in i
1.164 * [taylor]: Taking taylor expansion of beta in i
1.164 * [backup-simplify]: Simplify beta into beta
1.164 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
1.164 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (/ 1 beta)) in i
1.164 * [taylor]: Taking taylor expansion of (/ 1 alpha) in i
1.164 * [taylor]: Taking taylor expansion of alpha in i
1.164 * [backup-simplify]: Simplify alpha into alpha
1.164 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
1.164 * [taylor]: Taking taylor expansion of (/ 1 beta) in i
1.164 * [taylor]: Taking taylor expansion of beta in i
1.164 * [backup-simplify]: Simplify beta into beta
1.165 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
1.165 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in i
1.165 * [taylor]: Taking taylor expansion of (/ 1 alpha) in i
1.165 * [taylor]: Taking taylor expansion of alpha in i
1.165 * [backup-simplify]: Simplify alpha into alpha
1.165 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
1.165 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in i
1.165 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in i
1.165 * [taylor]: Taking taylor expansion of 2.0 in i
1.165 * [backup-simplify]: Simplify 2.0 into 2.0
1.165 * [taylor]: Taking taylor expansion of (/ 1 i) in i
1.165 * [taylor]: Taking taylor expansion of i in i
1.165 * [backup-simplify]: Simplify 0 into 0
1.165 * [backup-simplify]: Simplify 1 into 1
1.165 * [backup-simplify]: Simplify (/ 1 1) into 1
1.165 * [taylor]: Taking taylor expansion of (/ 1 beta) in i
1.165 * [taylor]: Taking taylor expansion of beta in i
1.165 * [backup-simplify]: Simplify beta into beta
1.165 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
1.165 * [backup-simplify]: Simplify (- (/ 1 beta)) into (- (/ 1 beta))
1.166 * [backup-simplify]: Simplify (+ (/ 1 alpha) (- (/ 1 beta))) into (- (/ 1 alpha) (/ 1 beta))
1.166 * [backup-simplify]: Simplify (+ (/ 1 alpha) (/ 1 beta)) into (+ (/ 1 alpha) (/ 1 beta))
1.166 * [backup-simplify]: Simplify (* (- (/ 1 alpha) (/ 1 beta)) (+ (/ 1 alpha) (/ 1 beta))) into (* (- (/ 1 alpha) (/ 1 beta)) (+ (/ 1 alpha) (/ 1 beta)))
1.166 * [backup-simplify]: Simplify (* 2.0 1) into 2.0
1.167 * [backup-simplify]: Simplify (+ 2.0 0) into 2.0
1.167 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
1.167 * [backup-simplify]: Simplify (/ (* (- (/ 1 alpha) (/ 1 beta)) (+ (/ 1 alpha) (/ 1 beta))) 2.0) into (* 0.5 (* (- (/ 1 alpha) (/ 1 beta)) (+ (/ 1 alpha) (/ 1 beta))))
1.167 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 alpha) (/ 1 beta)) (+ (/ 1 alpha) (/ 1 beta))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) in beta
1.167 * [taylor]: Taking taylor expansion of (* (- (/ 1 alpha) (/ 1 beta)) (+ (/ 1 alpha) (/ 1 beta))) in beta
1.168 * [taylor]: Taking taylor expansion of (- (/ 1 alpha) (/ 1 beta)) in beta
1.168 * [taylor]: Taking taylor expansion of (/ 1 alpha) in beta
1.168 * [taylor]: Taking taylor expansion of alpha in beta
1.168 * [backup-simplify]: Simplify alpha into alpha
1.168 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
1.168 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
1.168 * [taylor]: Taking taylor expansion of beta in beta
1.168 * [backup-simplify]: Simplify 0 into 0
1.168 * [backup-simplify]: Simplify 1 into 1
1.168 * [backup-simplify]: Simplify (/ 1 1) into 1
1.168 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (/ 1 beta)) in beta
1.168 * [taylor]: Taking taylor expansion of (/ 1 alpha) in beta
1.168 * [taylor]: Taking taylor expansion of alpha in beta
1.168 * [backup-simplify]: Simplify alpha into alpha
1.168 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
1.168 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
1.168 * [taylor]: Taking taylor expansion of beta in beta
1.168 * [backup-simplify]: Simplify 0 into 0
1.168 * [backup-simplify]: Simplify 1 into 1
1.169 * [backup-simplify]: Simplify (/ 1 1) into 1
1.169 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in beta
1.169 * [taylor]: Taking taylor expansion of (/ 1 alpha) in beta
1.169 * [taylor]: Taking taylor expansion of alpha in beta
1.169 * [backup-simplify]: Simplify alpha into alpha
1.169 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
1.169 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in beta
1.169 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in beta
1.169 * [taylor]: Taking taylor expansion of 2.0 in beta
1.169 * [backup-simplify]: Simplify 2.0 into 2.0
1.169 * [taylor]: Taking taylor expansion of (/ 1 i) in beta
1.169 * [taylor]: Taking taylor expansion of i in beta
1.169 * [backup-simplify]: Simplify i into i
1.169 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
1.169 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
1.169 * [taylor]: Taking taylor expansion of beta in beta
1.169 * [backup-simplify]: Simplify 0 into 0
1.169 * [backup-simplify]: Simplify 1 into 1
1.170 * [backup-simplify]: Simplify (/ 1 1) into 1
1.170 * [backup-simplify]: Simplify (- 1) into -1
1.170 * [backup-simplify]: Simplify (+ 0 -1) into -1
1.171 * [backup-simplify]: Simplify (+ 0 1) into 1
1.171 * [backup-simplify]: Simplify (* -1 1) into -1
1.171 * [backup-simplify]: Simplify (+ 0 1) into 1
1.172 * [backup-simplify]: Simplify (+ 0 1) into 1
1.172 * [backup-simplify]: Simplify (/ -1 1) into -1
1.172 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 alpha) (/ 1 beta)) (+ (/ 1 alpha) (/ 1 beta))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) in alpha
1.172 * [taylor]: Taking taylor expansion of (* (- (/ 1 alpha) (/ 1 beta)) (+ (/ 1 alpha) (/ 1 beta))) in alpha
1.172 * [taylor]: Taking taylor expansion of (- (/ 1 alpha) (/ 1 beta)) in alpha
1.172 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
1.172 * [taylor]: Taking taylor expansion of alpha in alpha
1.172 * [backup-simplify]: Simplify 0 into 0
1.172 * [backup-simplify]: Simplify 1 into 1
1.173 * [backup-simplify]: Simplify (/ 1 1) into 1
1.173 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
1.173 * [taylor]: Taking taylor expansion of beta in alpha
1.173 * [backup-simplify]: Simplify beta into beta
1.173 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
1.173 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (/ 1 beta)) in alpha
1.173 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
1.173 * [taylor]: Taking taylor expansion of alpha in alpha
1.173 * [backup-simplify]: Simplify 0 into 0
1.173 * [backup-simplify]: Simplify 1 into 1
1.173 * [backup-simplify]: Simplify (/ 1 1) into 1
1.173 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
1.173 * [taylor]: Taking taylor expansion of beta in alpha
1.173 * [backup-simplify]: Simplify beta into beta
1.173 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
1.173 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in alpha
1.173 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
1.173 * [taylor]: Taking taylor expansion of alpha in alpha
1.173 * [backup-simplify]: Simplify 0 into 0
1.173 * [backup-simplify]: Simplify 1 into 1
1.174 * [backup-simplify]: Simplify (/ 1 1) into 1
1.174 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in alpha
1.174 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
1.174 * [taylor]: Taking taylor expansion of 2.0 in alpha
1.174 * [backup-simplify]: Simplify 2.0 into 2.0
1.174 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
1.174 * [taylor]: Taking taylor expansion of i in alpha
1.174 * [backup-simplify]: Simplify i into i
1.174 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
1.174 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
1.174 * [taylor]: Taking taylor expansion of beta in alpha
1.174 * [backup-simplify]: Simplify beta into beta
1.174 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
1.175 * [backup-simplify]: Simplify (+ 1 0) into 1
1.175 * [backup-simplify]: Simplify (+ 1 0) into 1
1.175 * [backup-simplify]: Simplify (* 1 1) into 1
1.175 * [backup-simplify]: Simplify (+ 1 0) into 1
1.176 * [backup-simplify]: Simplify (/ 1 1) into 1
1.176 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 alpha) (/ 1 beta)) (+ (/ 1 alpha) (/ 1 beta))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) in alpha
1.176 * [taylor]: Taking taylor expansion of (* (- (/ 1 alpha) (/ 1 beta)) (+ (/ 1 alpha) (/ 1 beta))) in alpha
1.176 * [taylor]: Taking taylor expansion of (- (/ 1 alpha) (/ 1 beta)) in alpha
1.176 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
1.176 * [taylor]: Taking taylor expansion of alpha in alpha
1.176 * [backup-simplify]: Simplify 0 into 0
1.176 * [backup-simplify]: Simplify 1 into 1
1.176 * [backup-simplify]: Simplify (/ 1 1) into 1
1.176 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
1.176 * [taylor]: Taking taylor expansion of beta in alpha
1.176 * [backup-simplify]: Simplify beta into beta
1.176 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
1.176 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (/ 1 beta)) in alpha
1.176 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
1.176 * [taylor]: Taking taylor expansion of alpha in alpha
1.176 * [backup-simplify]: Simplify 0 into 0
1.176 * [backup-simplify]: Simplify 1 into 1
1.176 * [backup-simplify]: Simplify (/ 1 1) into 1
1.176 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
1.176 * [taylor]: Taking taylor expansion of beta in alpha
1.176 * [backup-simplify]: Simplify beta into beta
1.177 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
1.177 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in alpha
1.177 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
1.177 * [taylor]: Taking taylor expansion of alpha in alpha
1.177 * [backup-simplify]: Simplify 0 into 0
1.177 * [backup-simplify]: Simplify 1 into 1
1.177 * [backup-simplify]: Simplify (/ 1 1) into 1
1.177 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in alpha
1.177 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
1.177 * [taylor]: Taking taylor expansion of 2.0 in alpha
1.177 * [backup-simplify]: Simplify 2.0 into 2.0
1.177 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
1.177 * [taylor]: Taking taylor expansion of i in alpha
1.177 * [backup-simplify]: Simplify i into i
1.177 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
1.177 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
1.177 * [taylor]: Taking taylor expansion of beta in alpha
1.177 * [backup-simplify]: Simplify beta into beta
1.177 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
1.177 * [backup-simplify]: Simplify (+ 1 0) into 1
1.178 * [backup-simplify]: Simplify (+ 1 0) into 1
1.178 * [backup-simplify]: Simplify (* 1 1) into 1
1.178 * [backup-simplify]: Simplify (+ 1 0) into 1
1.178 * [backup-simplify]: Simplify (/ 1 1) into 1
1.178 * [taylor]: Taking taylor expansion of 1 in beta
1.178 * [backup-simplify]: Simplify 1 into 1
1.179 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.179 * [backup-simplify]: Simplify (+ 0 (/ 1 beta)) into (/ 1 beta)
1.179 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.179 * [backup-simplify]: Simplify (- (/ 1 beta)) into (- (/ 1 beta))
1.179 * [backup-simplify]: Simplify (+ 0 (- (/ 1 beta))) into (- (/ 1 beta))
1.180 * [backup-simplify]: Simplify (+ (* 1 (/ 1 beta)) (* (- (/ 1 beta)) 1)) into 0
1.180 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.180 * [backup-simplify]: Simplify (* 2.0 (/ 1 i)) into (/ 2.0 i)
1.180 * [backup-simplify]: Simplify (+ (/ 2.0 i) (/ 1 beta)) into (+ (* 2.0 (/ 1 i)) (/ 1 beta))
1.180 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 (/ 1 i)) (/ 1 beta))) into (+ (* 2.0 (/ 1 i)) (/ 1 beta))
1.181 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ (+ (* 2.0 (/ 1 i)) (/ 1 beta)) 1)))) into (- (+ (* 2.0 (/ 1 i)) (/ 1 beta)))
1.181 * [taylor]: Taking taylor expansion of (- (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in beta
1.181 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in beta
1.181 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in beta
1.181 * [taylor]: Taking taylor expansion of 2.0 in beta
1.181 * [backup-simplify]: Simplify 2.0 into 2.0
1.181 * [taylor]: Taking taylor expansion of (/ 1 i) in beta
1.181 * [taylor]: Taking taylor expansion of i in beta
1.181 * [backup-simplify]: Simplify i into i
1.181 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
1.181 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
1.181 * [taylor]: Taking taylor expansion of beta in beta
1.181 * [backup-simplify]: Simplify 0 into 0
1.181 * [backup-simplify]: Simplify 1 into 1
1.181 * [backup-simplify]: Simplify (/ 1 1) into 1
1.182 * [backup-simplify]: Simplify (+ 0 1) into 1
1.182 * [backup-simplify]: Simplify (- 1) into -1
1.182 * [taylor]: Taking taylor expansion of -1 in i
1.182 * [backup-simplify]: Simplify -1 into -1
1.182 * [backup-simplify]: Simplify 0 into 0
1.182 * [taylor]: Taking taylor expansion of 1 in i
1.182 * [backup-simplify]: Simplify 1 into 1
1.182 * [backup-simplify]: Simplify 0 into 0
1.182 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.182 * [backup-simplify]: Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
1.183 * [backup-simplify]: Simplify (+ 0 0) into 0
1.183 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.183 * [backup-simplify]: Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
1.184 * [backup-simplify]: Simplify (- 0) into 0
1.184 * [backup-simplify]: Simplify (+ 0 0) into 0
1.184 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- (/ 1 beta)) (/ 1 beta)) (* 0 1))) into (- (/ 1 (pow beta 2)))
1.185 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.185 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
1.185 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 (/ 1 i))) into 0
1.185 * [backup-simplify]: Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
1.186 * [backup-simplify]: Simplify (+ 0 0) into 0
1.186 * [backup-simplify]: Simplify (+ 0 0) into 0
1.187 * [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))))
1.187 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 (pow i 2))) (* 4.0 (/ 1 (* i beta)))) in beta
1.187 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow i 2))) in beta
1.187 * [taylor]: Taking taylor expansion of 4.0 in beta
1.187 * [backup-simplify]: Simplify 4.0 into 4.0
1.187 * [taylor]: Taking taylor expansion of (/ 1 (pow i 2)) in beta
1.187 * [taylor]: Taking taylor expansion of (pow i 2) in beta
1.187 * [taylor]: Taking taylor expansion of i in beta
1.187 * [backup-simplify]: Simplify i into i
1.187 * [backup-simplify]: Simplify (* i i) into (pow i 2)
1.187 * [backup-simplify]: Simplify (/ 1 (pow i 2)) into (/ 1 (pow i 2))
1.187 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (* i beta))) in beta
1.187 * [taylor]: Taking taylor expansion of 4.0 in beta
1.187 * [backup-simplify]: Simplify 4.0 into 4.0
1.187 * [taylor]: Taking taylor expansion of (/ 1 (* i beta)) in beta
1.187 * [taylor]: Taking taylor expansion of (* i beta) in beta
1.187 * [taylor]: Taking taylor expansion of i in beta
1.187 * [backup-simplify]: Simplify i into i
1.187 * [taylor]: Taking taylor expansion of beta in beta
1.187 * [backup-simplify]: Simplify 0 into 0
1.187 * [backup-simplify]: Simplify 1 into 1
1.187 * [backup-simplify]: Simplify (* i 0) into 0
1.187 * [backup-simplify]: Simplify (+ (* i 1) (* 0 0)) into i
1.188 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
1.188 * [backup-simplify]: Simplify (* 4.0 (/ 1 i)) into (/ 4.0 i)
1.188 * [backup-simplify]: Simplify (+ 0 (/ 4.0 i)) into (* 4.0 (/ 1 i))
1.188 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 i)) in i
1.188 * [taylor]: Taking taylor expansion of 4.0 in i
1.188 * [backup-simplify]: Simplify 4.0 into 4.0
1.188 * [taylor]: Taking taylor expansion of (/ 1 i) in i
1.188 * [taylor]: Taking taylor expansion of i in i
1.188 * [backup-simplify]: Simplify 0 into 0
1.188 * [backup-simplify]: Simplify 1 into 1
1.188 * [backup-simplify]: Simplify (/ 1 1) into 1
1.188 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.189 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.190 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 1))) into 0
1.190 * [backup-simplify]: Simplify 0 into 0
1.190 * [backup-simplify]: Simplify (* 2.0 (/ 1 i)) into (/ 2.0 i)
1.190 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.190 * [backup-simplify]: Simplify (+ (/ 2.0 i) 0) into (* 2.0 (/ 1 i))
1.190 * [backup-simplify]: Simplify (- (* 2.0 (/ 1 i))) into (- (* 2.0 (/ 1 i)))
1.190 * [taylor]: Taking taylor expansion of (- (* 2.0 (/ 1 i))) in i
1.190 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in i
1.190 * [taylor]: Taking taylor expansion of 2.0 in i
1.190 * [backup-simplify]: Simplify 2.0 into 2.0
1.190 * [taylor]: Taking taylor expansion of (/ 1 i) in i
1.190 * [taylor]: Taking taylor expansion of i in i
1.190 * [backup-simplify]: Simplify 0 into 0
1.190 * [backup-simplify]: Simplify 1 into 1
1.191 * [backup-simplify]: Simplify (/ 1 1) into 1
1.191 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.192 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.192 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 1))) into 0
1.192 * [backup-simplify]: Simplify (- 0) into 0
1.192 * [backup-simplify]: Simplify 0 into 0
1.192 * [taylor]: Taking taylor expansion of 0 in i
1.192 * [backup-simplify]: Simplify 0 into 0
1.192 * [backup-simplify]: Simplify 0 into 0
1.192 * [backup-simplify]: Simplify 0 into 0
1.192 * [backup-simplify]: Simplify 0 into 0
1.192 * * * * [progress]: [ 2 / 3 ] generating series at (2 1)
1.193 * [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))))))
1.193 * [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
1.193 * [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
1.193 * [taylor]: Taking taylor expansion of (+ (/ (pow beta 2) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta))))) 1.0) in i
1.193 * [taylor]: Taking taylor expansion of (/ (pow beta 2) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta))))) in i
1.193 * [taylor]: Taking taylor expansion of (pow beta 2) in i
1.193 * [taylor]: Taking taylor expansion of beta in i
1.193 * [backup-simplify]: Simplify beta into beta
1.193 * [taylor]: Taking taylor expansion of (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta)))) in i
1.193 * [taylor]: Taking taylor expansion of (+ alpha (+ (* 2.0 i) beta)) in i
1.193 * [taylor]: Taking taylor expansion of alpha in i
1.193 * [backup-simplify]: Simplify alpha into alpha
1.193 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in i
1.194 * [taylor]: Taking taylor expansion of (* 2.0 i) in i
1.194 * [taylor]: Taking taylor expansion of 2.0 in i
1.194 * [backup-simplify]: Simplify 2.0 into 2.0
1.194 * [taylor]: Taking taylor expansion of i in i
1.194 * [backup-simplify]: Simplify 0 into 0
1.194 * [backup-simplify]: Simplify 1 into 1
1.194 * [taylor]: Taking taylor expansion of beta in i
1.194 * [backup-simplify]: Simplify beta into beta
1.194 * [taylor]: Taking taylor expansion of (+ alpha (+ 2.0 (+ (* 2.0 i) beta))) in i
1.194 * [taylor]: Taking taylor expansion of alpha in i
1.194 * [backup-simplify]: Simplify alpha into alpha
1.194 * [taylor]: Taking taylor expansion of (+ 2.0 (+ (* 2.0 i) beta)) in i
1.194 * [taylor]: Taking taylor expansion of 2.0 in i
1.194 * [backup-simplify]: Simplify 2.0 into 2.0
1.194 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in i
1.194 * [taylor]: Taking taylor expansion of (* 2.0 i) in i
1.194 * [taylor]: Taking taylor expansion of 2.0 in i
1.194 * [backup-simplify]: Simplify 2.0 into 2.0
1.194 * [taylor]: Taking taylor expansion of i in i
1.194 * [backup-simplify]: Simplify 0 into 0
1.194 * [backup-simplify]: Simplify 1 into 1
1.194 * [taylor]: Taking taylor expansion of beta in i
1.194 * [backup-simplify]: Simplify beta into beta
1.194 * [backup-simplify]: Simplify (* beta beta) into (pow beta 2)
1.194 * [backup-simplify]: Simplify (* 2.0 0) into 0
1.194 * [backup-simplify]: Simplify (+ 0 beta) into beta
1.194 * [backup-simplify]: Simplify (+ alpha beta) into (+ alpha beta)
1.194 * [backup-simplify]: Simplify (* 2.0 0) into 0
1.195 * [backup-simplify]: Simplify (+ 0 beta) into beta
1.195 * [backup-simplify]: Simplify (+ 2.0 beta) into (+ beta 2.0)
1.195 * [backup-simplify]: Simplify (+ alpha (+ beta 2.0)) into (+ alpha (+ beta 2.0))
1.195 * [backup-simplify]: Simplify (* (+ alpha beta) (+ alpha (+ beta 2.0))) into (* (+ alpha beta) (+ alpha (+ beta 2.0)))
1.195 * [backup-simplify]: Simplify (/ (pow beta 2) (* (+ alpha beta) (+ alpha (+ beta 2.0)))) into (/ (pow beta 2) (* (+ alpha beta) (+ alpha (+ beta 2.0))))
1.195 * [taylor]: Taking taylor expansion of 1.0 in i
1.195 * [backup-simplify]: Simplify 1.0 into 1.0
1.195 * [taylor]: Taking taylor expansion of (/ (pow alpha 2) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta))))) in i
1.195 * [taylor]: Taking taylor expansion of (pow alpha 2) 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 (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta)))) in i
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
1.195 * [taylor]: Taking taylor expansion of (+ alpha (+ 2.0 (+ (* 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 (+ (* 2.0 i) beta)) 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 (+ (* 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
1.195 * [backup-simplify]: Simplify (* alpha alpha) into (pow alpha 2)
1.196 * [backup-simplify]: Simplify (* 2.0 0) into 0
1.196 * [backup-simplify]: Simplify (+ 0 beta) into beta
1.196 * [backup-simplify]: Simplify (+ alpha beta) into (+ alpha beta)
1.196 * [backup-simplify]: Simplify (* 2.0 0) into 0
1.196 * [backup-simplify]: Simplify (+ 0 beta) into beta
1.196 * [backup-simplify]: Simplify (+ 2.0 beta) into (+ beta 2.0)
1.196 * [backup-simplify]: Simplify (+ alpha (+ beta 2.0)) into (+ alpha (+ beta 2.0))
1.196 * [backup-simplify]: Simplify (* (+ alpha beta) (+ alpha (+ beta 2.0))) into (* (+ alpha beta) (+ alpha (+ beta 2.0)))
1.196 * [backup-simplify]: Simplify (/ (pow alpha 2) (* (+ alpha beta) (+ alpha (+ beta 2.0)))) into (/ (pow alpha 2) (* (+ alpha beta) (+ alpha (+ beta 2.0))))
1.196 * [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
1.196 * [taylor]: Taking taylor expansion of (+ (/ (pow beta 2) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta))))) 1.0) in beta
1.197 * [taylor]: Taking taylor expansion of (/ (pow beta 2) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta))))) in beta
1.197 * [taylor]: Taking taylor expansion of (pow beta 2) 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 (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta)))) in beta
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
1.197 * [backup-simplify]: Simplify 2.0 into 2.0
1.197 * [taylor]: Taking taylor expansion of i in beta
1.197 * [backup-simplify]: Simplify i into i
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 (+ 2.0 (+ (* 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 (+ (* 2.0 i) beta)) in beta
1.197 * [taylor]: Taking taylor expansion of 2.0 in beta
1.197 * [backup-simplify]: Simplify 2.0 into 2.0
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
1.197 * [backup-simplify]: Simplify 2.0 into 2.0
1.197 * [taylor]: Taking taylor expansion of i in beta
1.197 * [backup-simplify]: Simplify i into i
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 * [backup-simplify]: Simplify (* 1 1) into 1
1.197 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
1.197 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
1.197 * [backup-simplify]: Simplify (+ alpha (* 2.0 i)) into (+ alpha (* 2.0 i))
1.197 * [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 (+ 2.0 (* 2.0 i)) into (+ (* 2.0 i) 2.0)
1.198 * [backup-simplify]: Simplify (+ alpha (+ (* 2.0 i) 2.0)) into (+ alpha (+ (* 2.0 i) 2.0))
1.198 * [backup-simplify]: Simplify (* (+ alpha (* 2.0 i)) (+ alpha (+ (* 2.0 i) 2.0))) into (* (+ alpha (+ (* 2.0 i) 2.0)) (+ alpha (* 2.0 i)))
1.198 * [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))))
1.198 * [taylor]: Taking taylor expansion of 1.0 in beta
1.198 * [backup-simplify]: Simplify 1.0 into 1.0
1.198 * [taylor]: Taking taylor expansion of (/ (pow alpha 2) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta))))) in beta
1.198 * [taylor]: Taking taylor expansion of (pow alpha 2) in beta
1.198 * [taylor]: Taking taylor expansion of alpha in beta
1.198 * [backup-simplify]: Simplify alpha into alpha
1.198 * [taylor]: Taking taylor expansion of (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta)))) in beta
1.198 * [taylor]: Taking taylor expansion of (+ alpha (+ (* 2.0 i) beta)) in beta
1.198 * [taylor]: Taking taylor expansion of alpha in beta
1.198 * [backup-simplify]: Simplify alpha into alpha
1.198 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
1.198 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
1.198 * [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 * [taylor]: Taking taylor expansion of (+ alpha (+ 2.0 (+ (* 2.0 i) beta))) in beta
1.198 * [taylor]: Taking taylor expansion of alpha in beta
1.198 * [backup-simplify]: Simplify alpha into alpha
1.198 * [taylor]: Taking taylor expansion of (+ 2.0 (+ (* 2.0 i) beta)) in beta
1.198 * [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 (+ (* 2.0 i) beta) in beta
1.198 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
1.198 * [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 alpha) into (pow alpha 2)
1.198 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
1.199 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
1.199 * [backup-simplify]: Simplify (+ alpha (* 2.0 i)) into (+ alpha (* 2.0 i))
1.199 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
1.199 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
1.199 * [backup-simplify]: Simplify (+ 2.0 (* 2.0 i)) into (+ (* 2.0 i) 2.0)
1.199 * [backup-simplify]: Simplify (+ alpha (+ (* 2.0 i) 2.0)) into (+ alpha (+ (* 2.0 i) 2.0))
1.199 * [backup-simplify]: Simplify (* (+ alpha (* 2.0 i)) (+ alpha (+ (* 2.0 i) 2.0))) into (* (+ alpha (+ (* 2.0 i) 2.0)) (+ alpha (* 2.0 i)))
1.199 * [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))))
1.199 * [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
1.199 * [taylor]: Taking taylor expansion of (+ (/ (pow beta 2) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta))))) 1.0) in alpha
1.199 * [taylor]: Taking taylor expansion of (/ (pow beta 2) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta))))) in alpha
1.199 * [taylor]: Taking taylor expansion of (pow beta 2) 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 (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta)))) in alpha
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 * [taylor]: Taking taylor expansion of (+ alpha (+ 2.0 (+ (* 2.0 i) 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 (+ 2.0 (+ (* 2.0 i) beta)) in alpha
1.200 * [taylor]: Taking taylor expansion of 2.0 in alpha
1.200 * [backup-simplify]: Simplify 2.0 into 2.0
1.200 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in alpha
1.200 * [taylor]: Taking taylor expansion of (* 2.0 i) in alpha
1.200 * [taylor]: Taking taylor expansion of 2.0 in alpha
1.200 * [backup-simplify]: Simplify 2.0 into 2.0
1.200 * [taylor]: Taking taylor expansion of i in alpha
1.200 * [backup-simplify]: Simplify i into i
1.200 * [taylor]: Taking taylor expansion of beta in alpha
1.200 * [backup-simplify]: Simplify beta 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 (* 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 (+ 2.0 (+ (* 2.0 i) beta)) into (+ (* 2.0 i) (+ beta 2.0))
1.200 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 i) (+ beta 2.0))) into (+ (* 2.0 i) (+ beta 2.0))
1.200 * [backup-simplify]: Simplify (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0))) into (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))
1.200 * [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))))
1.200 * [taylor]: Taking taylor expansion of 1.0 in alpha
1.200 * [backup-simplify]: Simplify 1.0 into 1.0
1.201 * [taylor]: Taking taylor expansion of (/ (pow alpha 2) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta))))) in alpha
1.201 * [taylor]: Taking taylor expansion of (pow alpha 2) 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 (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta)))) in alpha
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 * [taylor]: Taking taylor expansion of (+ alpha (+ 2.0 (+ (* 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 (+ (* 2.0 i) beta)) 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 (+ (* 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 (* 1 1) into 1
1.201 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
1.201 * [backup-simplify]: Simplify (+ (* 2.0 i) beta) into (+ (* 2.0 i) beta)
1.201 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 i) beta)) into (+ (* 2.0 i) beta)
1.201 * [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 (+ 2.0 (+ (* 2.0 i) beta)) into (+ (* 2.0 i) (+ beta 2.0))
1.202 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 i) (+ beta 2.0))) into (+ (* 2.0 i) (+ beta 2.0))
1.202 * [backup-simplify]: Simplify (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0))) into (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))
1.202 * [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))))
1.202 * [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
1.202 * [taylor]: Taking taylor expansion of (+ (/ (pow beta 2) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta))))) 1.0) in alpha
1.202 * [taylor]: Taking taylor expansion of (/ (pow beta 2) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta))))) in alpha
1.202 * [taylor]: Taking taylor expansion of (pow beta 2) in alpha
1.202 * [taylor]: Taking taylor expansion of beta in alpha
1.202 * [backup-simplify]: Simplify beta into beta
1.202 * [taylor]: Taking taylor expansion of (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta)))) in alpha
1.202 * [taylor]: Taking taylor expansion of (+ alpha (+ (* 2.0 i) beta)) in alpha
1.202 * [taylor]: Taking taylor expansion of alpha in alpha
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 alpha
1.202 * [taylor]: Taking taylor expansion of (* 2.0 i) in alpha
1.202 * [taylor]: Taking taylor expansion of 2.0 in alpha
1.202 * [backup-simplify]: Simplify 2.0 into 2.0
1.202 * [taylor]: Taking taylor expansion of i in alpha
1.202 * [backup-simplify]: Simplify i into i
1.202 * [taylor]: Taking taylor expansion of beta in alpha
1.202 * [backup-simplify]: Simplify beta into beta
1.202 * [taylor]: Taking taylor expansion of (+ alpha (+ 2.0 (+ (* 2.0 i) beta))) in alpha
1.202 * [taylor]: Taking taylor expansion of alpha in alpha
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 (+ (* 2.0 i) beta)) in alpha
1.202 * [taylor]: Taking taylor expansion of 2.0 in alpha
1.202 * [backup-simplify]: Simplify 2.0 into 2.0
1.202 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in alpha
1.202 * [taylor]: Taking taylor expansion of (* 2.0 i) in alpha
1.202 * [taylor]: Taking taylor expansion of 2.0 in alpha
1.202 * [backup-simplify]: Simplify 2.0 into 2.0
1.202 * [taylor]: Taking taylor expansion of i in alpha
1.202 * [backup-simplify]: Simplify i into i
1.202 * [taylor]: Taking taylor expansion of beta in alpha
1.203 * [backup-simplify]: Simplify beta into beta
1.203 * [backup-simplify]: Simplify (* beta beta) into (pow beta 2)
1.203 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
1.203 * [backup-simplify]: Simplify (+ (* 2.0 i) beta) into (+ (* 2.0 i) beta)
1.203 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 i) beta)) into (+ (* 2.0 i) beta)
1.203 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
1.203 * [backup-simplify]: Simplify (+ (* 2.0 i) beta) into (+ (* 2.0 i) beta)
1.203 * [backup-simplify]: Simplify (+ 2.0 (+ (* 2.0 i) beta)) into (+ (* 2.0 i) (+ beta 2.0))
1.203 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 i) (+ beta 2.0))) into (+ (* 2.0 i) (+ beta 2.0))
1.203 * [backup-simplify]: Simplify (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0))) into (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))
1.203 * [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))))
1.203 * [taylor]: Taking taylor expansion of 1.0 in alpha
1.203 * [backup-simplify]: Simplify 1.0 into 1.0
1.203 * [taylor]: Taking taylor expansion of (/ (pow alpha 2) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta))))) in alpha
1.203 * [taylor]: Taking taylor expansion of (pow alpha 2) in alpha
1.203 * [taylor]: Taking taylor expansion of alpha in alpha
1.203 * [backup-simplify]: Simplify 0 into 0
1.203 * [backup-simplify]: Simplify 1 into 1
1.203 * [taylor]: Taking taylor expansion of (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta)))) in alpha
1.203 * [taylor]: Taking taylor expansion of (+ alpha (+ (* 2.0 i) beta)) in alpha
1.203 * [taylor]: Taking taylor expansion of alpha in alpha
1.203 * [backup-simplify]: Simplify 0 into 0
1.203 * [backup-simplify]: Simplify 1 into 1
1.203 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in alpha
1.204 * [taylor]: Taking taylor expansion of (* 2.0 i) in alpha
1.204 * [taylor]: Taking taylor expansion of 2.0 in alpha
1.204 * [backup-simplify]: Simplify 2.0 into 2.0
1.204 * [taylor]: Taking taylor expansion of i in alpha
1.204 * [backup-simplify]: Simplify i into i
1.204 * [taylor]: Taking taylor expansion of beta in alpha
1.204 * [backup-simplify]: Simplify beta into beta
1.204 * [taylor]: Taking taylor expansion of (+ alpha (+ 2.0 (+ (* 2.0 i) beta))) in alpha
1.204 * [taylor]: Taking taylor expansion of alpha in alpha
1.204 * [backup-simplify]: Simplify 0 into 0
1.204 * [backup-simplify]: Simplify 1 into 1
1.204 * [taylor]: Taking taylor expansion of (+ 2.0 (+ (* 2.0 i) beta)) in alpha
1.204 * [taylor]: Taking taylor expansion of 2.0 in alpha
1.204 * [backup-simplify]: Simplify 2.0 into 2.0
1.204 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in alpha
1.204 * [taylor]: Taking taylor expansion of (* 2.0 i) in alpha
1.204 * [taylor]: Taking taylor expansion of 2.0 in alpha
1.204 * [backup-simplify]: Simplify 2.0 into 2.0
1.204 * [taylor]: Taking taylor expansion of i in alpha
1.204 * [backup-simplify]: Simplify i into i
1.204 * [taylor]: Taking taylor expansion of beta in alpha
1.204 * [backup-simplify]: Simplify beta into beta
1.204 * [backup-simplify]: Simplify (* 1 1) into 1
1.204 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
1.204 * [backup-simplify]: Simplify (+ (* 2.0 i) beta) into (+ (* 2.0 i) beta)
1.204 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 i) beta)) into (+ (* 2.0 i) beta)
1.204 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
1.204 * [backup-simplify]: Simplify (+ (* 2.0 i) beta) into (+ (* 2.0 i) beta)
1.204 * [backup-simplify]: Simplify (+ 2.0 (+ (* 2.0 i) beta)) into (+ (* 2.0 i) (+ beta 2.0))
1.204 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 i) (+ beta 2.0))) into (+ (* 2.0 i) (+ beta 2.0))
1.205 * [backup-simplify]: Simplify (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0))) into (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))
1.205 * [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))))
1.205 * [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)
1.205 * [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)
1.205 * [taylor]: Taking taylor expansion of (+ (/ (pow beta 2) (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))) 1.0) in beta
1.205 * [taylor]: Taking taylor expansion of (/ (pow beta 2) (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))) in beta
1.205 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
1.205 * [taylor]: Taking taylor expansion of beta in beta
1.205 * [backup-simplify]: Simplify 0 into 0
1.205 * [backup-simplify]: Simplify 1 into 1
1.205 * [taylor]: Taking taylor expansion of (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0))) in beta
1.205 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
1.206 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
1.206 * [taylor]: Taking taylor expansion of 2.0 in beta
1.206 * [backup-simplify]: Simplify 2.0 into 2.0
1.206 * [taylor]: Taking taylor expansion of i in beta
1.206 * [backup-simplify]: Simplify i into i
1.206 * [taylor]: Taking taylor expansion of beta in beta
1.206 * [backup-simplify]: Simplify 0 into 0
1.206 * [backup-simplify]: Simplify 1 into 1
1.206 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
1.206 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
1.206 * [taylor]: Taking taylor expansion of 2.0 in beta
1.206 * [backup-simplify]: Simplify 2.0 into 2.0
1.206 * [taylor]: Taking taylor expansion of i in beta
1.206 * [backup-simplify]: Simplify i into i
1.206 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
1.206 * [taylor]: Taking taylor expansion of beta in beta
1.206 * [backup-simplify]: Simplify 0 into 0
1.206 * [backup-simplify]: Simplify 1 into 1
1.206 * [taylor]: Taking taylor expansion of 2.0 in beta
1.206 * [backup-simplify]: Simplify 2.0 into 2.0
1.206 * [backup-simplify]: Simplify (* 1 1) into 1
1.206 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
1.206 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
1.206 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
1.206 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
1.207 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
1.207 * [backup-simplify]: Simplify (* (* 2.0 i) (+ (* 2.0 i) 2.0)) into (* 2.0 (* i (+ (* 2.0 i) 2.0)))
1.207 * [backup-simplify]: Simplify (/ 1 (* 2.0 (* i (+ (* 2.0 i) 2.0)))) into (/ 0.5 (* i (+ (* 2.0 i) 2.0)))
1.207 * [taylor]: Taking taylor expansion of 1.0 in beta
1.207 * [backup-simplify]: Simplify 1.0 into 1.0
1.207 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0
1.207 * [taylor]: Taking taylor expansion of 1.0 in i
1.207 * [backup-simplify]: Simplify 1.0 into 1.0
1.207 * [backup-simplify]: Simplify 1.0 into 1.0
1.207 * [backup-simplify]: Simplify (+ (* beta 0) (* 0 beta)) into 0
1.207 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 i)) into 0
1.208 * [backup-simplify]: Simplify (+ 0 0) into 0
1.208 * [backup-simplify]: Simplify (+ 0 0) into 0
1.208 * [backup-simplify]: Simplify (+ 1 0) into 1
1.208 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 i)) into 0
1.209 * [backup-simplify]: Simplify (+ 0 0) into 0
1.209 * [backup-simplify]: Simplify (+ 1 0) into 1
1.209 * [backup-simplify]: Simplify (+ (* (+ (* 2.0 i) beta) 1) (* 1 (+ (* 2.0 i) (+ beta 2.0)))) into (+ 2.0 (+ (* 4.0 i) (* 2 beta)))
1.210 * [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)))))))
1.212 * [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)))))))
1.214 * [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)))))))
1.214 * [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
1.214 * [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
1.214 * [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
1.214 * [taylor]: Taking taylor expansion of 4.0 in beta
1.214 * [backup-simplify]: Simplify 4.0 into 4.0
1.214 * [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
1.214 * [taylor]: Taking taylor expansion of (* i (pow beta 2)) in beta
1.214 * [taylor]: Taking taylor expansion of i in beta
1.214 * [backup-simplify]: Simplify i into i
1.214 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
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 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)) in beta
1.214 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 2) 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 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 2) in beta
1.215 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) 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 2.0) in beta
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 * [taylor]: Taking taylor expansion of 2.0 in beta
1.215 * [backup-simplify]: Simplify 2.0 into 2.0
1.215 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
1.215 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
1.215 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
1.216 * [backup-simplify]: Simplify (* 1 1) into 1
1.216 * [backup-simplify]: Simplify (* i 1) into i
1.216 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
1.216 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
1.216 * [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)))
1.216 * [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)))
1.216 * [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
1.216 * [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
1.216 * [taylor]: Taking taylor expansion of 2 in beta
1.216 * [backup-simplify]: Simplify 2 into 2
1.216 * [taylor]: Taking taylor expansion of (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2))) in beta
1.216 * [taylor]: Taking taylor expansion of (pow beta 3) in beta
1.216 * [taylor]: Taking taylor expansion of beta in beta
1.216 * [backup-simplify]: Simplify 0 into 0
1.216 * [backup-simplify]: Simplify 1 into 1
1.216 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)) in beta
1.216 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 2) in beta
1.216 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
1.216 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
1.217 * [taylor]: Taking taylor expansion of 2.0 in beta
1.217 * [backup-simplify]: Simplify 2.0 into 2.0
1.217 * [taylor]: Taking taylor expansion of i in beta
1.217 * [backup-simplify]: Simplify i into i
1.217 * [taylor]: Taking taylor expansion of beta in beta
1.217 * [backup-simplify]: Simplify 0 into 0
1.217 * [backup-simplify]: Simplify 1 into 1
1.217 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
1.217 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
1.217 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 2) in beta
1.217 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
1.217 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
1.217 * [taylor]: Taking taylor expansion of 2.0 in beta
1.217 * [backup-simplify]: Simplify 2.0 into 2.0
1.217 * [taylor]: Taking taylor expansion of i in beta
1.217 * [backup-simplify]: Simplify i into i
1.217 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
1.217 * [taylor]: Taking taylor expansion of beta in beta
1.217 * [backup-simplify]: Simplify 0 into 0
1.217 * [backup-simplify]: Simplify 1 into 1
1.217 * [taylor]: Taking taylor expansion of 2.0 in beta
1.217 * [backup-simplify]: Simplify 2.0 into 2.0
1.217 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
1.217 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
1.217 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
1.218 * [backup-simplify]: Simplify (* 1 1) into 1
1.218 * [backup-simplify]: Simplify (* 1 1) into 1
1.218 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
1.218 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
1.218 * [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)))
1.218 * [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)))
1.218 * [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
1.218 * [taylor]: Taking taylor expansion of 2.0 in beta
1.218 * [backup-simplify]: Simplify 2.0 into 2.0
1.218 * [taylor]: Taking taylor expansion of (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2))) in beta
1.219 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
1.219 * [taylor]: Taking taylor expansion of beta in beta
1.219 * [backup-simplify]: Simplify 0 into 0
1.219 * [backup-simplify]: Simplify 1 into 1
1.219 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)) in beta
1.219 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 2) in beta
1.219 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
1.219 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
1.219 * [taylor]: Taking taylor expansion of 2.0 in beta
1.219 * [backup-simplify]: Simplify 2.0 into 2.0
1.219 * [taylor]: Taking taylor expansion of i in beta
1.219 * [backup-simplify]: Simplify i into i
1.219 * [taylor]: Taking taylor expansion of beta in beta
1.219 * [backup-simplify]: Simplify 0 into 0
1.219 * [backup-simplify]: Simplify 1 into 1
1.219 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
1.219 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
1.219 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 2) in beta
1.219 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
1.219 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
1.219 * [taylor]: Taking taylor expansion of 2.0 in beta
1.219 * [backup-simplify]: Simplify 2.0 into 2.0
1.219 * [taylor]: Taking taylor expansion of i in beta
1.219 * [backup-simplify]: Simplify i into i
1.219 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
1.219 * [taylor]: Taking taylor expansion of beta in beta
1.219 * [backup-simplify]: Simplify 0 into 0
1.219 * [backup-simplify]: Simplify 1 into 1
1.219 * [taylor]: Taking taylor expansion of 2.0 in beta
1.219 * [backup-simplify]: Simplify 2.0 into 2.0
1.219 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
1.219 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
1.219 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
1.220 * [backup-simplify]: Simplify (* 1 1) into 1
1.220 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
1.220 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
1.220 * [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)))
1.220 * [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)))
1.221 * [backup-simplify]: Simplify (+ 0 0) into 0
1.221 * [taylor]: Taking taylor expansion of 0 in i
1.221 * [backup-simplify]: Simplify 0 into 0
1.221 * [backup-simplify]: Simplify 0 into 0
1.221 * [backup-simplify]: Simplify 0 into 0
1.221 * [backup-simplify]: Simplify (+ (* beta 0) (+ (* 0 0) (* 0 beta))) into 0
1.222 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 i))) into 0
1.222 * [backup-simplify]: Simplify (+ 0 0) into 0
1.222 * [backup-simplify]: Simplify (+ 0 0) into 0
1.222 * [backup-simplify]: Simplify (+ 0 0) into 0
1.223 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 i))) into 0
1.223 * [backup-simplify]: Simplify (+ 0 0) into 0
1.223 * [backup-simplify]: Simplify (+ 0 0) into 0
1.224 * [backup-simplify]: Simplify (+ (* (+ (* 2.0 i) beta) 0) (+ (* 1 1) (* 0 (+ (* 2.0 i) (+ beta 2.0))))) into 1
1.228 * [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))))
1.233 * [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))))
1.233 * [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)))))
1.238 * [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)))))
1.238 * [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
1.238 * [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
1.238 * [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
1.238 * [taylor]: Taking taylor expansion of 16.0 in beta
1.238 * [backup-simplify]: Simplify 16.0 into 16.0
1.238 * [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
1.238 * [taylor]: Taking taylor expansion of (* (pow i 2) (pow beta 2)) in beta
1.238 * [taylor]: Taking taylor expansion of (pow i 2) in beta
1.239 * [taylor]: Taking taylor expansion of i in beta
1.239 * [backup-simplify]: Simplify i into i
1.239 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
1.239 * [taylor]: Taking taylor expansion of beta in beta
1.239 * [backup-simplify]: Simplify 0 into 0
1.239 * [backup-simplify]: Simplify 1 into 1
1.239 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)) in beta
1.239 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 3) in beta
1.239 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
1.239 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
1.239 * [taylor]: Taking taylor expansion of 2.0 in beta
1.239 * [backup-simplify]: Simplify 2.0 into 2.0
1.239 * [taylor]: Taking taylor expansion of i in beta
1.239 * [backup-simplify]: Simplify i into i
1.239 * [taylor]: Taking taylor expansion of beta in beta
1.239 * [backup-simplify]: Simplify 0 into 0
1.239 * [backup-simplify]: Simplify 1 into 1
1.239 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
1.239 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
1.239 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 3) in beta
1.239 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
1.239 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
1.239 * [taylor]: Taking taylor expansion of 2.0 in beta
1.239 * [backup-simplify]: Simplify 2.0 into 2.0
1.239 * [taylor]: Taking taylor expansion of i in beta
1.239 * [backup-simplify]: Simplify i into i
1.239 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
1.239 * [taylor]: Taking taylor expansion of beta in beta
1.239 * [backup-simplify]: Simplify 0 into 0
1.239 * [backup-simplify]: Simplify 1 into 1
1.239 * [taylor]: Taking taylor expansion of 2.0 in beta
1.239 * [backup-simplify]: Simplify 2.0 into 2.0
1.239 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
1.240 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
1.240 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
1.240 * [backup-simplify]: Simplify (* i i) into (pow i 2)
1.240 * [backup-simplify]: Simplify (* 1 1) into 1
1.240 * [backup-simplify]: Simplify (* (pow i 2) 1) into (pow i 2)
1.240 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
1.240 * [backup-simplify]: Simplify (* (* 2.0 i) (* 4.0 (pow i 2))) into (* 8.0 (pow i 3))
1.240 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
1.240 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (pow (+ (* 2.0 i) 2.0) 2)) into (pow (+ (* 2.0 i) 2.0) 3)
1.241 * [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)))
1.241 * [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)))
1.241 * [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
1.241 * [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
1.241 * [taylor]: Taking taylor expansion of 4 in beta
1.241 * [backup-simplify]: Simplify 4 into 4
1.241 * [taylor]: Taking taylor expansion of (/ (pow beta 4) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3))) in beta
1.241 * [taylor]: Taking taylor expansion of (pow beta 4) in beta
1.241 * [taylor]: Taking taylor expansion of beta in beta
1.241 * [backup-simplify]: Simplify 0 into 0
1.241 * [backup-simplify]: Simplify 1 into 1
1.241 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)) in beta
1.241 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 3) in beta
1.241 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
1.241 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
1.241 * [taylor]: Taking taylor expansion of 2.0 in beta
1.241 * [backup-simplify]: Simplify 2.0 into 2.0
1.241 * [taylor]: Taking taylor expansion of i in beta
1.241 * [backup-simplify]: Simplify i into i
1.241 * [taylor]: Taking taylor expansion of beta in beta
1.241 * [backup-simplify]: Simplify 0 into 0
1.241 * [backup-simplify]: Simplify 1 into 1
1.241 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
1.241 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
1.241 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 3) in beta
1.242 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
1.242 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
1.242 * [taylor]: Taking taylor expansion of 2.0 in beta
1.242 * [backup-simplify]: Simplify 2.0 into 2.0
1.242 * [taylor]: Taking taylor expansion of i in beta
1.242 * [backup-simplify]: Simplify i into i
1.242 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
1.242 * [taylor]: Taking taylor expansion of beta in beta
1.242 * [backup-simplify]: Simplify 0 into 0
1.242 * [backup-simplify]: Simplify 1 into 1
1.242 * [taylor]: Taking taylor expansion of 2.0 in beta
1.242 * [backup-simplify]: Simplify 2.0 into 2.0
1.242 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
1.242 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
1.242 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
1.242 * [backup-simplify]: Simplify (* 1 1) into 1
1.243 * [backup-simplify]: Simplify (* 1 1) into 1
1.243 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
1.243 * [backup-simplify]: Simplify (* (* 2.0 i) (* 4.0 (pow i 2))) into (* 8.0 (pow i 3))
1.243 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
1.243 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (pow (+ (* 2.0 i) 2.0) 2)) into (pow (+ (* 2.0 i) 2.0) 3)
1.243 * [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)))
1.244 * [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)))
1.244 * [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
1.244 * [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
1.244 * [taylor]: Taking taylor expansion of 8.0 in beta
1.244 * [backup-simplify]: Simplify 8.0 into 8.0
1.244 * [taylor]: Taking taylor expansion of (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3))) in beta
1.244 * [taylor]: Taking taylor expansion of (pow beta 3) in beta
1.244 * [taylor]: Taking taylor expansion of beta in beta
1.244 * [backup-simplify]: Simplify 0 into 0
1.244 * [backup-simplify]: Simplify 1 into 1
1.244 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)) in beta
1.244 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 3) in beta
1.244 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
1.244 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
1.244 * [taylor]: Taking taylor expansion of 2.0 in beta
1.244 * [backup-simplify]: Simplify 2.0 into 2.0
1.244 * [taylor]: Taking taylor expansion of i in beta
1.244 * [backup-simplify]: Simplify i into i
1.244 * [taylor]: Taking taylor expansion of beta in beta
1.244 * [backup-simplify]: Simplify 0 into 0
1.244 * [backup-simplify]: Simplify 1 into 1
1.244 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
1.244 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
1.244 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 3) in beta
1.244 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
1.244 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
1.244 * [taylor]: Taking taylor expansion of 2.0 in beta
1.244 * [backup-simplify]: Simplify 2.0 into 2.0
1.244 * [taylor]: Taking taylor expansion of i in beta
1.244 * [backup-simplify]: Simplify i into i
1.244 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
1.244 * [taylor]: Taking taylor expansion of beta in beta
1.244 * [backup-simplify]: Simplify 0 into 0
1.244 * [backup-simplify]: Simplify 1 into 1
1.245 * [taylor]: Taking taylor expansion of 2.0 in beta
1.245 * [backup-simplify]: Simplify 2.0 into 2.0
1.245 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
1.245 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
1.245 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
1.245 * [backup-simplify]: Simplify (* 1 1) into 1
1.245 * [backup-simplify]: Simplify (* 1 1) into 1
1.246 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
1.246 * [backup-simplify]: Simplify (* (* 2.0 i) (* 4.0 (pow i 2))) into (* 8.0 (pow i 3))
1.246 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
1.246 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (pow (+ (* 2.0 i) 2.0) 2)) into (pow (+ (* 2.0 i) 2.0) 3)
1.246 * [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)))
1.246 * [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)))
1.246 * [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
1.246 * [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
1.246 * [taylor]: Taking taylor expansion of 16.0 in beta
1.246 * [backup-simplify]: Simplify 16.0 into 16.0
1.246 * [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
1.246 * [taylor]: Taking taylor expansion of (* i (pow beta 3)) in beta
1.246 * [taylor]: Taking taylor expansion of i in beta
1.246 * [backup-simplify]: Simplify i into i
1.247 * [taylor]: Taking taylor expansion of (pow beta 3) in beta
1.247 * [taylor]: Taking taylor expansion of beta in beta
1.247 * [backup-simplify]: Simplify 0 into 0
1.247 * [backup-simplify]: Simplify 1 into 1
1.247 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)) in beta
1.247 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 3) in beta
1.247 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
1.247 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
1.247 * [taylor]: Taking taylor expansion of 2.0 in beta
1.247 * [backup-simplify]: Simplify 2.0 into 2.0
1.247 * [taylor]: Taking taylor expansion of i in beta
1.247 * [backup-simplify]: Simplify i into i
1.247 * [taylor]: Taking taylor expansion of beta in beta
1.247 * [backup-simplify]: Simplify 0 into 0
1.247 * [backup-simplify]: Simplify 1 into 1
1.247 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
1.247 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
1.247 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 3) in beta
1.247 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
1.247 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
1.247 * [taylor]: Taking taylor expansion of 2.0 in beta
1.247 * [backup-simplify]: Simplify 2.0 into 2.0
1.247 * [taylor]: Taking taylor expansion of i in beta
1.247 * [backup-simplify]: Simplify i into i
1.247 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
1.247 * [taylor]: Taking taylor expansion of beta in beta
1.247 * [backup-simplify]: Simplify 0 into 0
1.247 * [backup-simplify]: Simplify 1 into 1
1.247 * [taylor]: Taking taylor expansion of 2.0 in beta
1.247 * [backup-simplify]: Simplify 2.0 into 2.0
1.247 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
1.247 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
1.247 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
1.248 * [backup-simplify]: Simplify (* 1 1) into 1
1.248 * [backup-simplify]: Simplify (* 1 1) into 1
1.248 * [backup-simplify]: Simplify (* i 1) into i
1.248 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
1.248 * [backup-simplify]: Simplify (* (* 2.0 i) (* 4.0 (pow i 2))) into (* 8.0 (pow i 3))
1.248 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
1.248 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (pow (+ (* 2.0 i) 2.0) 2)) into (pow (+ (* 2.0 i) 2.0) 3)
1.249 * [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)))
1.249 * [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)))
1.249 * [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
1.249 * [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
1.249 * [taylor]: Taking taylor expansion of 16.0 in beta
1.249 * [backup-simplify]: Simplify 16.0 into 16.0
1.249 * [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
1.249 * [taylor]: Taking taylor expansion of (* i (pow beta 2)) in beta
1.249 * [taylor]: Taking taylor expansion of i in beta
1.249 * [backup-simplify]: Simplify i into i
1.249 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
1.249 * [taylor]: Taking taylor expansion of beta in beta
1.249 * [backup-simplify]: Simplify 0 into 0
1.249 * [backup-simplify]: Simplify 1 into 1
1.249 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)) in beta
1.249 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 3) in beta
1.249 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
1.249 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
1.249 * [taylor]: Taking taylor expansion of 2.0 in beta
1.249 * [backup-simplify]: Simplify 2.0 into 2.0
1.249 * [taylor]: Taking taylor expansion of i in beta
1.249 * [backup-simplify]: Simplify i into i
1.249 * [taylor]: Taking taylor expansion of beta in beta
1.249 * [backup-simplify]: Simplify 0 into 0
1.249 * [backup-simplify]: Simplify 1 into 1
1.249 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
1.249 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
1.249 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 3) in beta
1.249 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
1.249 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
1.249 * [taylor]: Taking taylor expansion of 2.0 in beta
1.249 * [backup-simplify]: Simplify 2.0 into 2.0
1.249 * [taylor]: Taking taylor expansion of i in beta
1.249 * [backup-simplify]: Simplify i into i
1.249 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
1.249 * [taylor]: Taking taylor expansion of beta in beta
1.249 * [backup-simplify]: Simplify 0 into 0
1.249 * [backup-simplify]: Simplify 1 into 1
1.249 * [taylor]: Taking taylor expansion of 2.0 in beta
1.249 * [backup-simplify]: Simplify 2.0 into 2.0
1.250 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
1.250 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
1.250 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
1.250 * [backup-simplify]: Simplify (* 1 1) into 1
1.250 * [backup-simplify]: Simplify (* i 1) into i
1.250 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
1.250 * [backup-simplify]: Simplify (* (* 2.0 i) (* 4.0 (pow i 2))) into (* 8.0 (pow i 3))
1.250 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
1.251 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (pow (+ (* 2.0 i) 2.0) 2)) into (pow (+ (* 2.0 i) 2.0) 3)
1.251 * [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)))
1.251 * [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)))
1.251 * [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
1.251 * [taylor]: Taking taylor expansion of 4.0 in beta
1.251 * [backup-simplify]: Simplify 4.0 into 4.0
1.251 * [taylor]: Taking taylor expansion of (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3))) in beta
1.251 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
1.251 * [taylor]: Taking taylor expansion of beta in beta
1.251 * [backup-simplify]: Simplify 0 into 0
1.251 * [backup-simplify]: Simplify 1 into 1
1.251 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)) in beta
1.251 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 3) in beta
1.251 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
1.251 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
1.251 * [taylor]: Taking taylor expansion of 2.0 in beta
1.251 * [backup-simplify]: Simplify 2.0 into 2.0
1.251 * [taylor]: Taking taylor expansion of i in beta
1.251 * [backup-simplify]: Simplify i into i
1.251 * [taylor]: Taking taylor expansion of beta in beta
1.251 * [backup-simplify]: Simplify 0 into 0
1.251 * [backup-simplify]: Simplify 1 into 1
1.251 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
1.251 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
1.251 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 3) in beta
1.251 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
1.251 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
1.251 * [taylor]: Taking taylor expansion of 2.0 in beta
1.252 * [backup-simplify]: Simplify 2.0 into 2.0
1.252 * [taylor]: Taking taylor expansion of i in beta
1.252 * [backup-simplify]: Simplify i into i
1.252 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
1.252 * [taylor]: Taking taylor expansion of beta in beta
1.252 * [backup-simplify]: Simplify 0 into 0
1.252 * [backup-simplify]: Simplify 1 into 1
1.252 * [taylor]: Taking taylor expansion of 2.0 in beta
1.252 * [backup-simplify]: Simplify 2.0 into 2.0
1.252 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
1.252 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
1.252 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
1.252 * [backup-simplify]: Simplify (* 1 1) into 1
1.252 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
1.252 * [backup-simplify]: Simplify (* (* 2.0 i) (* 4.0 (pow i 2))) into (* 8.0 (pow i 3))
1.253 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
1.253 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (pow (+ (* 2.0 i) 2.0) 2)) into (pow (+ (* 2.0 i) 2.0) 3)
1.253 * [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)))
1.253 * [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)))
1.253 * [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
1.253 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))) in beta
1.253 * [taylor]: Taking taylor expansion of (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0))) in beta
1.253 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
1.253 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
1.253 * [taylor]: Taking taylor expansion of 2.0 in beta
1.253 * [backup-simplify]: Simplify 2.0 into 2.0
1.253 * [taylor]: Taking taylor expansion of i in beta
1.253 * [backup-simplify]: Simplify i into i
1.253 * [taylor]: Taking taylor expansion of beta in beta
1.253 * [backup-simplify]: Simplify 0 into 0
1.253 * [backup-simplify]: Simplify 1 into 1
1.253 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
1.253 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
1.253 * [taylor]: Taking taylor expansion of 2.0 in beta
1.253 * [backup-simplify]: Simplify 2.0 into 2.0
1.253 * [taylor]: Taking taylor expansion of i in beta
1.253 * [backup-simplify]: Simplify i into i
1.253 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
1.253 * [taylor]: Taking taylor expansion of beta in beta
1.253 * [backup-simplify]: Simplify 0 into 0
1.253 * [backup-simplify]: Simplify 1 into 1
1.253 * [taylor]: Taking taylor expansion of 2.0 in beta
1.254 * [backup-simplify]: Simplify 2.0 into 2.0
1.254 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
1.254 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
1.254 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
1.254 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
1.254 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
1.254 * [backup-simplify]: Simplify (* (* 2.0 i) (+ (* 2.0 i) 2.0)) into (* 2.0 (* i (+ (* 2.0 i) 2.0)))
1.254 * [backup-simplify]: Simplify (/ 1 (* 2.0 (* i (+ (* 2.0 i) 2.0)))) into (/ 0.5 (* i (+ (* 2.0 i) 2.0)))
1.254 * [taylor]: Taking taylor expansion of (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2))) in beta
1.254 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
1.254 * [taylor]: Taking taylor expansion of beta in beta
1.254 * [backup-simplify]: Simplify 0 into 0
1.254 * [backup-simplify]: Simplify 1 into 1
1.254 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)) in beta
1.254 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 2) in beta
1.254 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
1.254 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
1.254 * [taylor]: Taking taylor expansion of 2.0 in beta
1.254 * [backup-simplify]: Simplify 2.0 into 2.0
1.254 * [taylor]: Taking taylor expansion of i in beta
1.254 * [backup-simplify]: Simplify i into i
1.254 * [taylor]: Taking taylor expansion of beta in beta
1.254 * [backup-simplify]: Simplify 0 into 0
1.254 * [backup-simplify]: Simplify 1 into 1
1.254 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
1.255 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
1.255 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 2) in beta
1.255 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
1.255 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
1.255 * [taylor]: Taking taylor expansion of 2.0 in beta
1.255 * [backup-simplify]: Simplify 2.0 into 2.0
1.255 * [taylor]: Taking taylor expansion of i in beta
1.255 * [backup-simplify]: Simplify i into i
1.255 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
1.255 * [taylor]: Taking taylor expansion of beta in beta
1.255 * [backup-simplify]: Simplify 0 into 0
1.255 * [backup-simplify]: Simplify 1 into 1
1.255 * [taylor]: Taking taylor expansion of 2.0 in beta
1.255 * [backup-simplify]: Simplify 2.0 into 2.0
1.255 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
1.255 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
1.255 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
1.255 * [backup-simplify]: Simplify (* 1 1) into 1
1.255 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
1.256 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
1.256 * [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)))
1.256 * [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)))
1.256 * [backup-simplify]: Simplify (+ (/ 0.5 (* i (+ (* 2.0 i) 2.0))) 0) into (* 0.5 (/ 1 (* i (+ (* 2.0 i) 2.0))))
1.256 * [backup-simplify]: Simplify (- (* 0.5 (/ 1 (* i (+ (* 2.0 i) 2.0))))) into (- (* 0.5 (/ 1 (* i (+ (* 2.0 i) 2.0)))))
1.256 * [backup-simplify]: Simplify (+ 0 (- (* 0.5 (/ 1 (* i (+ (* 2.0 i) 2.0)))))) into (- (* 0.5 (/ 1 (* i (+ (* 2.0 i) 2.0)))))
1.256 * [taylor]: Taking taylor expansion of (- (* 0.5 (/ 1 (* i (+ (* 2.0 i) 2.0))))) in i
1.256 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (* i (+ (* 2.0 i) 2.0)))) in i
1.256 * [taylor]: Taking taylor expansion of 0.5 in i
1.256 * [backup-simplify]: Simplify 0.5 into 0.5
1.256 * [taylor]: Taking taylor expansion of (/ 1 (* i (+ (* 2.0 i) 2.0))) in i
1.256 * [taylor]: Taking taylor expansion of (* i (+ (* 2.0 i) 2.0)) 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 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) 2.0) in i
1.257 * [taylor]: Taking taylor expansion of (* 2.0 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 i in i
1.257 * [backup-simplify]: Simplify 0 into 0
1.257 * [backup-simplify]: Simplify 1 into 1
1.257 * [taylor]: Taking taylor expansion of 2.0 in i
1.257 * [backup-simplify]: Simplify 2.0 into 2.0
1.257 * [backup-simplify]: Simplify (* 2.0 0) into 0
1.257 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
1.257 * [backup-simplify]: Simplify (* 0 2.0) into 0
1.261 * [backup-simplify]: Simplify (+ (* 2.0 1) (* 0 0)) into 2.0
1.262 * [backup-simplify]: Simplify (+ 2.0 0) into 2.0
1.263 * [backup-simplify]: Simplify (+ (* 0 2.0) (* 1 2.0)) into 2.0
1.263 * [backup-simplify]: Simplify (/ 1 2.0) into 0.5
1.263 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 1) (* 0 0))) into 0
1.264 * [backup-simplify]: Simplify (+ 0 0) into 0
1.265 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 2.0) (* 0 2.0))) into 2.0
1.267 * [backup-simplify]: Simplify (- (+ (* 0.5 (/ 2.0 2.0)))) into (- 0.5)
1.268 * [backup-simplify]: Simplify (+ (* 0.5 (- 0.5)) (* 0 0.5)) into (- 0.25)
1.268 * [backup-simplify]: Simplify (- (- 0.25)) into 0.25
1.268 * [backup-simplify]: Simplify 0.25 into 0.25
1.268 * [backup-simplify]: Simplify (+ (/ 0.5 (* i (+ (* 2.0 i) 2.0))) 0) into (* 0.5 (/ 1 (* i (+ (* 2.0 i) 2.0))))
1.268 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (* i (+ (* 2.0 i) 2.0)))) in i
1.268 * [taylor]: Taking taylor expansion of 0.5 in i
1.268 * [backup-simplify]: Simplify 0.5 into 0.5
1.268 * [taylor]: Taking taylor expansion of (/ 1 (* i (+ (* 2.0 i) 2.0))) in i
1.268 * [taylor]: Taking taylor expansion of (* i (+ (* 2.0 i) 2.0)) in i
1.268 * [taylor]: Taking taylor expansion of i in i
1.269 * [backup-simplify]: Simplify 0 into 0
1.269 * [backup-simplify]: Simplify 1 into 1
1.269 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) 2.0) in i
1.269 * [taylor]: Taking taylor expansion of (* 2.0 i) in i
1.269 * [taylor]: Taking taylor expansion of 2.0 in i
1.269 * [backup-simplify]: Simplify 2.0 into 2.0
1.269 * [taylor]: Taking taylor expansion of i in i
1.269 * [backup-simplify]: Simplify 0 into 0
1.269 * [backup-simplify]: Simplify 1 into 1
1.269 * [taylor]: Taking taylor expansion of 2.0 in i
1.269 * [backup-simplify]: Simplify 2.0 into 2.0
1.269 * [backup-simplify]: Simplify (* 2.0 0) into 0
1.269 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
1.269 * [backup-simplify]: Simplify (* 0 2.0) into 0
1.270 * [backup-simplify]: Simplify (+ (* 2.0 1) (* 0 0)) into 2.0
1.271 * [backup-simplify]: Simplify (+ 2.0 0) into 2.0
1.272 * [backup-simplify]: Simplify (+ (* 0 2.0) (* 1 2.0)) into 2.0
1.272 * [backup-simplify]: Simplify (/ 1 2.0) into 0.5
1.273 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 1) (* 0 0))) into 0
1.273 * [backup-simplify]: Simplify (+ 0 0) into 0
1.274 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 2.0) (* 0 2.0))) into 2.0
1.276 * [backup-simplify]: Simplify (- (+ (* 0.5 (/ 2.0 2.0)))) into (- 0.5)
1.277 * [backup-simplify]: Simplify (+ (* 0.5 (- 0.5)) (* 0 0.5)) into (- 0.25)
1.277 * [backup-simplify]: Simplify (- 0.25) into (- 0.25)
1.277 * [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)))
1.278 * [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)))))))
1.278 * [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
1.278 * [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
1.278 * [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
1.278 * [taylor]: Taking taylor expansion of 1.0 in i
1.279 * [backup-simplify]: Simplify 1.0 into 1.0
1.279 * [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
1.279 * [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
1.279 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) in i
1.279 * [taylor]: Taking taylor expansion of (/ 1 alpha) in i
1.279 * [taylor]: Taking taylor expansion of alpha in i
1.279 * [backup-simplify]: Simplify alpha into alpha
1.279 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
1.279 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0)) in i
1.279 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in i
1.279 * [taylor]: Taking taylor expansion of 2.0 in i
1.279 * [backup-simplify]: Simplify 2.0 into 2.0
1.279 * [taylor]: Taking taylor expansion of (/ 1 i) in i
1.279 * [taylor]: Taking taylor expansion of i in i
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
1.279 * [taylor]: Taking taylor expansion of (+ (/ 1 beta) 2.0) in i
1.279 * [taylor]: Taking taylor expansion of (/ 1 beta) in i
1.279 * [taylor]: Taking taylor expansion of beta in i
1.279 * [backup-simplify]: Simplify beta into beta
1.279 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
1.279 * [taylor]: Taking taylor expansion of 2.0 in i
1.279 * [backup-simplify]: Simplify 2.0 into 2.0
1.279 * [taylor]: Taking taylor expansion of (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2)) in i
1.279 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in i
1.279 * [taylor]: Taking taylor expansion of (/ 1 alpha) in i
1.279 * [taylor]: Taking taylor expansion of alpha in i
1.279 * [backup-simplify]: Simplify alpha into alpha
1.279 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
1.279 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in i
1.279 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in i
1.279 * [taylor]: Taking taylor expansion of 2.0 in i
1.279 * [backup-simplify]: Simplify 2.0 into 2.0
1.279 * [taylor]: Taking taylor expansion of (/ 1 i) in i
1.279 * [taylor]: Taking taylor expansion of i in i
1.279 * [backup-simplify]: Simplify 0 into 0
1.279 * [backup-simplify]: Simplify 1 into 1
1.280 * [backup-simplify]: Simplify (/ 1 1) into 1
1.280 * [taylor]: Taking taylor expansion of (/ 1 beta) in i
1.280 * [taylor]: Taking taylor expansion of beta in i
1.280 * [backup-simplify]: Simplify beta into beta
1.280 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
1.280 * [taylor]: Taking taylor expansion of (pow beta 2) in i
1.280 * [taylor]: Taking taylor expansion of beta in i
1.280 * [backup-simplify]: Simplify beta into beta
1.280 * [backup-simplify]: Simplify (* 2.0 1) into 2.0
1.280 * [backup-simplify]: Simplify (+ 2.0 0) into 2.0
1.281 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
1.281 * [backup-simplify]: Simplify (* 2.0 1) into 2.0
1.281 * [backup-simplify]: Simplify (+ 2.0 0) into 2.0
1.281 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
1.282 * [backup-simplify]: Simplify (* beta beta) into (pow beta 2)
1.282 * [backup-simplify]: Simplify (* 2.0 (pow beta 2)) into (* 2.0 (pow beta 2))
1.282 * [backup-simplify]: Simplify (* 2.0 (* 2.0 (pow beta 2))) into (* 4.0 (pow beta 2))
1.282 * [backup-simplify]: Simplify (/ 1 (* 4.0 (pow beta 2))) into (/ 0.25 (pow beta 2))
1.282 * [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
1.282 * [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
1.282 * [taylor]: Taking taylor expansion of (pow alpha 2) in i
1.282 * [taylor]: Taking taylor expansion of alpha in i
1.282 * [backup-simplify]: Simplify alpha into alpha
1.282 * [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
1.282 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in i
1.282 * [taylor]: Taking taylor expansion of (/ 1 alpha) in i
1.282 * [taylor]: Taking taylor expansion of alpha in i
1.282 * [backup-simplify]: Simplify alpha into alpha
1.282 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
1.282 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in i
1.282 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in i
1.282 * [taylor]: Taking taylor expansion of 2.0 in i
1.282 * [backup-simplify]: Simplify 2.0 into 2.0
1.282 * [taylor]: Taking taylor expansion of (/ 1 i) in i
1.282 * [taylor]: Taking taylor expansion of i in i
1.282 * [backup-simplify]: Simplify 0 into 0
1.282 * [backup-simplify]: Simplify 1 into 1
1.282 * [backup-simplify]: Simplify (/ 1 1) into 1
1.282 * [taylor]: Taking taylor expansion of (/ 1 beta) in i
1.283 * [taylor]: Taking taylor expansion of beta in i
1.283 * [backup-simplify]: Simplify beta into beta
1.283 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
1.283 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) in i
1.283 * [taylor]: Taking taylor expansion of (/ 1 alpha) in i
1.283 * [taylor]: Taking taylor expansion of alpha in i
1.283 * [backup-simplify]: Simplify alpha into alpha
1.283 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
1.283 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0)) in i
1.283 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in i
1.283 * [taylor]: Taking taylor expansion of 2.0 in i
1.283 * [backup-simplify]: Simplify 2.0 into 2.0
1.283 * [taylor]: Taking taylor expansion of (/ 1 i) in i
1.283 * [taylor]: Taking taylor expansion of i in i
1.283 * [backup-simplify]: Simplify 0 into 0
1.283 * [backup-simplify]: Simplify 1 into 1
1.283 * [backup-simplify]: Simplify (/ 1 1) into 1
1.283 * [taylor]: Taking taylor expansion of (+ (/ 1 beta) 2.0) in i
1.283 * [taylor]: Taking taylor expansion of (/ 1 beta) in i
1.283 * [taylor]: Taking taylor expansion of beta in i
1.283 * [backup-simplify]: Simplify beta into beta
1.283 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
1.283 * [taylor]: Taking taylor expansion of 2.0 in i
1.283 * [backup-simplify]: Simplify 2.0 into 2.0
1.283 * [backup-simplify]: Simplify (* alpha alpha) into (pow alpha 2)
1.284 * [backup-simplify]: Simplify (* 2.0 1) into 2.0
1.284 * [backup-simplify]: Simplify (+ 2.0 0) into 2.0
1.284 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
1.285 * [backup-simplify]: Simplify (* 2.0 1) into 2.0
1.285 * [backup-simplify]: Simplify (+ 2.0 0) into 2.0
1.286 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
1.286 * [backup-simplify]: Simplify (* 2.0 2.0) into 4.0
1.286 * [backup-simplify]: Simplify (* (pow alpha 2) 4.0) into (* 4.0 (pow alpha 2))
1.286 * [backup-simplify]: Simplify (/ 1 (* 4.0 (pow alpha 2))) into (/ 0.25 (pow alpha 2))
1.286 * [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
1.286 * [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
1.286 * [taylor]: Taking taylor expansion of 1.0 in beta
1.286 * [backup-simplify]: Simplify 1.0 into 1.0
1.286 * [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
1.286 * [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
1.287 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) in beta
1.287 * [taylor]: Taking taylor expansion of (/ 1 alpha) in beta
1.287 * [taylor]: Taking taylor expansion of alpha in beta
1.287 * [backup-simplify]: Simplify alpha into alpha
1.287 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
1.287 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0)) in beta
1.287 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in beta
1.287 * [taylor]: Taking taylor expansion of 2.0 in beta
1.287 * [backup-simplify]: Simplify 2.0 into 2.0
1.287 * [taylor]: Taking taylor expansion of (/ 1 i) in beta
1.287 * [taylor]: Taking taylor expansion of i in beta
1.287 * [backup-simplify]: Simplify i into i
1.287 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
1.287 * [taylor]: Taking taylor expansion of (+ (/ 1 beta) 2.0) in beta
1.287 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
1.287 * [taylor]: Taking taylor expansion of beta in beta
1.287 * [backup-simplify]: Simplify 0 into 0
1.287 * [backup-simplify]: Simplify 1 into 1
1.287 * [backup-simplify]: Simplify (/ 1 1) into 1
1.287 * [taylor]: Taking taylor expansion of 2.0 in beta
1.287 * [backup-simplify]: Simplify 2.0 into 2.0
1.287 * [taylor]: Taking taylor expansion of (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2)) in beta
1.287 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in beta
1.288 * [taylor]: Taking taylor expansion of (/ 1 alpha) in beta
1.288 * [taylor]: Taking taylor expansion of alpha in beta
1.288 * [backup-simplify]: Simplify alpha into alpha
1.288 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
1.288 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in beta
1.288 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in beta
1.288 * [taylor]: Taking taylor expansion of 2.0 in beta
1.288 * [backup-simplify]: Simplify 2.0 into 2.0
1.288 * [taylor]: Taking taylor expansion of (/ 1 i) in beta
1.288 * [taylor]: Taking taylor expansion of i in beta
1.288 * [backup-simplify]: Simplify i into i
1.288 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
1.288 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
1.288 * [taylor]: Taking taylor expansion of beta in beta
1.288 * [backup-simplify]: Simplify 0 into 0
1.288 * [backup-simplify]: Simplify 1 into 1
1.288 * [backup-simplify]: Simplify (/ 1 1) into 1
1.288 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
1.288 * [taylor]: Taking taylor expansion of beta in beta
1.288 * [backup-simplify]: Simplify 0 into 0
1.288 * [backup-simplify]: Simplify 1 into 1
1.289 * [backup-simplify]: Simplify (+ 1 0) into 1
1.289 * [backup-simplify]: Simplify (+ 0 1) into 1
1.289 * [backup-simplify]: Simplify (+ 0 1) into 1
1.290 * [backup-simplify]: Simplify (+ 0 1) into 1
1.290 * [backup-simplify]: Simplify (+ 0 1) into 1
1.291 * [backup-simplify]: Simplify (* 1 1) into 1
1.291 * [backup-simplify]: Simplify (* 1 1) into 1
1.291 * [backup-simplify]: Simplify (* 1 1) into 1
1.291 * [backup-simplify]: Simplify (/ 1 1) into 1
1.291 * [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
1.291 * [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
1.292 * [taylor]: Taking taylor expansion of (pow alpha 2) in beta
1.292 * [taylor]: Taking taylor expansion of alpha in beta
1.292 * [backup-simplify]: Simplify alpha into alpha
1.292 * [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
1.292 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in beta
1.292 * [taylor]: Taking taylor expansion of (/ 1 alpha) in beta
1.292 * [taylor]: Taking taylor expansion of alpha in beta
1.292 * [backup-simplify]: Simplify alpha into alpha
1.292 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
1.292 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in beta
1.292 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in beta
1.292 * [taylor]: Taking taylor expansion of 2.0 in beta
1.292 * [backup-simplify]: Simplify 2.0 into 2.0
1.292 * [taylor]: Taking taylor expansion of (/ 1 i) in beta
1.292 * [taylor]: Taking taylor expansion of i in beta
1.292 * [backup-simplify]: Simplify i into i
1.292 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
1.292 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
1.292 * [taylor]: Taking taylor expansion of beta in beta
1.292 * [backup-simplify]: Simplify 0 into 0
1.292 * [backup-simplify]: Simplify 1 into 1
1.292 * [backup-simplify]: Simplify (/ 1 1) into 1
1.292 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) in beta
1.292 * [taylor]: Taking taylor expansion of (/ 1 alpha) in beta
1.292 * [taylor]: Taking taylor expansion of alpha in beta
1.292 * [backup-simplify]: Simplify alpha into alpha
1.292 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
1.292 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0)) in beta
1.292 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in beta
1.292 * [taylor]: Taking taylor expansion of 2.0 in beta
1.292 * [backup-simplify]: Simplify 2.0 into 2.0
1.292 * [taylor]: Taking taylor expansion of (/ 1 i) in beta
1.292 * [taylor]: Taking taylor expansion of i in beta
1.292 * [backup-simplify]: Simplify i into i
1.292 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
1.292 * [taylor]: Taking taylor expansion of (+ (/ 1 beta) 2.0) in beta
1.292 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
1.292 * [taylor]: Taking taylor expansion of beta in beta
1.293 * [backup-simplify]: Simplify 0 into 0
1.293 * [backup-simplify]: Simplify 1 into 1
1.293 * [backup-simplify]: Simplify (/ 1 1) into 1
1.293 * [taylor]: Taking taylor expansion of 2.0 in beta
1.293 * [backup-simplify]: Simplify 2.0 into 2.0
1.293 * [backup-simplify]: Simplify (* alpha alpha) into (pow alpha 2)
1.293 * [backup-simplify]: Simplify (+ 0 1) into 1
1.293 * [backup-simplify]: Simplify (+ 0 1) into 1
1.294 * [backup-simplify]: Simplify (+ 1 0) into 1
1.294 * [backup-simplify]: Simplify (+ 0 1) into 1
1.294 * [backup-simplify]: Simplify (+ 0 1) into 1
1.294 * [backup-simplify]: Simplify (* 1 1) into 1
1.294 * [backup-simplify]: Simplify (* (pow alpha 2) 1) into (pow alpha 2)
1.295 * [backup-simplify]: Simplify (/ 1 (pow alpha 2)) into (/ 1 (pow alpha 2))
1.295 * [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
1.295 * [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
1.295 * [taylor]: Taking taylor expansion of 1.0 in alpha
1.295 * [backup-simplify]: Simplify 1.0 into 1.0
1.295 * [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
1.295 * [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
1.295 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) in alpha
1.295 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
1.295 * [taylor]: Taking taylor expansion of alpha in alpha
1.295 * [backup-simplify]: Simplify 0 into 0
1.295 * [backup-simplify]: Simplify 1 into 1
1.295 * [backup-simplify]: Simplify (/ 1 1) into 1
1.295 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0)) in alpha
1.295 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
1.295 * [taylor]: Taking taylor expansion of 2.0 in alpha
1.295 * [backup-simplify]: Simplify 2.0 into 2.0
1.295 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
1.295 * [taylor]: Taking taylor expansion of i in alpha
1.295 * [backup-simplify]: Simplify i into i
1.295 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
1.295 * [taylor]: Taking taylor expansion of (+ (/ 1 beta) 2.0) in alpha
1.295 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
1.295 * [taylor]: Taking taylor expansion of beta in alpha
1.295 * [backup-simplify]: Simplify beta into beta
1.295 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
1.295 * [taylor]: Taking taylor expansion of 2.0 in alpha
1.295 * [backup-simplify]: Simplify 2.0 into 2.0
1.295 * [taylor]: Taking taylor expansion of (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2)) in alpha
1.295 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in alpha
1.295 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
1.295 * [taylor]: Taking taylor expansion of alpha in alpha
1.295 * [backup-simplify]: Simplify 0 into 0
1.295 * [backup-simplify]: Simplify 1 into 1
1.296 * [backup-simplify]: Simplify (/ 1 1) into 1
1.296 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in alpha
1.296 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
1.296 * [taylor]: Taking taylor expansion of 2.0 in alpha
1.296 * [backup-simplify]: Simplify 2.0 into 2.0
1.296 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
1.296 * [taylor]: Taking taylor expansion of i in alpha
1.296 * [backup-simplify]: Simplify i into i
1.296 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
1.296 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
1.296 * [taylor]: Taking taylor expansion of beta in alpha
1.296 * [backup-simplify]: Simplify beta into beta
1.296 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
1.296 * [taylor]: Taking taylor expansion of (pow beta 2) in alpha
1.296 * [taylor]: Taking taylor expansion of beta in alpha
1.296 * [backup-simplify]: Simplify beta into beta
1.296 * [backup-simplify]: Simplify (+ 1 0) into 1
1.296 * [backup-simplify]: Simplify (+ 1 0) into 1
1.297 * [backup-simplify]: Simplify (* beta beta) into (pow beta 2)
1.297 * [backup-simplify]: Simplify (* 1 (pow beta 2)) into (pow beta 2)
1.297 * [backup-simplify]: Simplify (* 1 (pow beta 2)) into (pow beta 2)
1.297 * [backup-simplify]: Simplify (/ 1 (pow beta 2)) into (/ 1 (pow beta 2))
1.297 * [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
1.297 * [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
1.297 * [taylor]: Taking taylor expansion of (pow alpha 2) in alpha
1.297 * [taylor]: Taking taylor expansion of alpha in alpha
1.297 * [backup-simplify]: Simplify 0 into 0
1.297 * [backup-simplify]: Simplify 1 into 1
1.297 * [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
1.297 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in alpha
1.297 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
1.297 * [taylor]: Taking taylor expansion of alpha in alpha
1.297 * [backup-simplify]: Simplify 0 into 0
1.297 * [backup-simplify]: Simplify 1 into 1
1.297 * [backup-simplify]: Simplify (/ 1 1) into 1
1.297 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in alpha
1.297 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
1.297 * [taylor]: Taking taylor expansion of 2.0 in alpha
1.297 * [backup-simplify]: Simplify 2.0 into 2.0
1.297 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
1.297 * [taylor]: Taking taylor expansion of i in alpha
1.297 * [backup-simplify]: Simplify i into i
1.297 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
1.297 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
1.297 * [taylor]: Taking taylor expansion of beta in alpha
1.297 * [backup-simplify]: Simplify beta into beta
1.297 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
1.298 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) in alpha
1.298 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
1.298 * [taylor]: Taking taylor expansion of alpha in alpha
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 (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0)) in alpha
1.298 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
1.298 * [taylor]: Taking taylor expansion of 2.0 in alpha
1.298 * [backup-simplify]: Simplify 2.0 into 2.0
1.298 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
1.298 * [taylor]: Taking taylor expansion of i in alpha
1.298 * [backup-simplify]: Simplify i into i
1.298 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
1.298 * [taylor]: Taking taylor expansion of (+ (/ 1 beta) 2.0) in alpha
1.298 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
1.298 * [taylor]: Taking taylor expansion of beta in alpha
1.298 * [backup-simplify]: Simplify beta into beta
1.298 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
1.298 * [taylor]: Taking taylor expansion of 2.0 in alpha
1.298 * [backup-simplify]: Simplify 2.0 into 2.0
1.298 * [backup-simplify]: Simplify (* 1 1) into 1
1.299 * [backup-simplify]: Simplify (+ 1 0) into 1
1.299 * [backup-simplify]: Simplify (+ 1 0) into 1
1.299 * [backup-simplify]: Simplify (* 1 1) into 1
1.299 * [backup-simplify]: Simplify (* 1 1) into 1
1.300 * [backup-simplify]: Simplify (/ 1 1) into 1
1.300 * [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
1.300 * [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
1.300 * [taylor]: Taking taylor expansion of 1.0 in alpha
1.300 * [backup-simplify]: Simplify 1.0 into 1.0
1.300 * [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
1.300 * [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
1.300 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) in alpha
1.300 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
1.300 * [taylor]: Taking taylor expansion of alpha in alpha
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 (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0)) in alpha
1.300 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
1.300 * [taylor]: Taking taylor expansion of 2.0 in alpha
1.300 * [backup-simplify]: Simplify 2.0 into 2.0
1.300 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
1.300 * [taylor]: Taking taylor expansion of i in alpha
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) 2.0) in alpha
1.300 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
1.300 * [taylor]: Taking taylor expansion of beta in alpha
1.300 * [backup-simplify]: Simplify beta into beta
1.300 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
1.300 * [taylor]: Taking taylor expansion of 2.0 in alpha
1.300 * [backup-simplify]: Simplify 2.0 into 2.0
1.300 * [taylor]: Taking taylor expansion of (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2)) in alpha
1.300 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in alpha
1.300 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
1.300 * [taylor]: Taking taylor expansion of alpha in alpha
1.300 * [backup-simplify]: Simplify 0 into 0
1.300 * [backup-simplify]: Simplify 1 into 1
1.301 * [backup-simplify]: Simplify (/ 1 1) into 1
1.301 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in alpha
1.301 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
1.301 * [taylor]: Taking taylor expansion of 2.0 in alpha
1.301 * [backup-simplify]: Simplify 2.0 into 2.0
1.301 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
1.301 * [taylor]: Taking taylor expansion of i in alpha
1.301 * [backup-simplify]: Simplify i into i
1.301 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
1.301 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
1.301 * [taylor]: Taking taylor expansion of beta in alpha
1.301 * [backup-simplify]: Simplify beta into beta
1.301 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
1.301 * [taylor]: Taking taylor expansion of (pow beta 2) in alpha
1.301 * [taylor]: Taking taylor expansion of beta in alpha
1.301 * [backup-simplify]: Simplify beta into beta
1.301 * [backup-simplify]: Simplify (+ 1 0) into 1
1.302 * [backup-simplify]: Simplify (+ 1 0) into 1
1.302 * [backup-simplify]: Simplify (* beta beta) into (pow beta 2)
1.302 * [backup-simplify]: Simplify (* 1 (pow beta 2)) into (pow beta 2)
1.302 * [backup-simplify]: Simplify (* 1 (pow beta 2)) into (pow beta 2)
1.302 * [backup-simplify]: Simplify (/ 1 (pow beta 2)) into (/ 1 (pow beta 2))
1.302 * [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
1.302 * [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
1.302 * [taylor]: Taking taylor expansion of (pow alpha 2) in alpha
1.302 * [taylor]: Taking taylor expansion of alpha in alpha
1.302 * [backup-simplify]: Simplify 0 into 0
1.302 * [backup-simplify]: Simplify 1 into 1
1.302 * [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
1.302 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in alpha
1.302 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
1.302 * [taylor]: Taking taylor expansion of alpha in alpha
1.302 * [backup-simplify]: Simplify 0 into 0
1.302 * [backup-simplify]: Simplify 1 into 1
1.302 * [backup-simplify]: Simplify (/ 1 1) into 1
1.302 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in alpha
1.302 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
1.302 * [taylor]: Taking taylor expansion of 2.0 in alpha
1.302 * [backup-simplify]: Simplify 2.0 into 2.0
1.302 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
1.302 * [taylor]: Taking taylor expansion of i in alpha
1.302 * [backup-simplify]: Simplify i into i
1.302 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
1.302 * [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) 2.0))) 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 (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0)) in alpha
1.303 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
1.303 * [taylor]: Taking taylor expansion of 2.0 in alpha
1.303 * [backup-simplify]: Simplify 2.0 into 2.0
1.303 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
1.303 * [taylor]: Taking taylor expansion of i in alpha
1.303 * [backup-simplify]: Simplify i into i
1.303 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
1.303 * [taylor]: Taking taylor expansion of (+ (/ 1 beta) 2.0) in alpha
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 2.0 in alpha
1.303 * [backup-simplify]: Simplify 2.0 into 2.0
1.303 * [backup-simplify]: Simplify (* 1 1) into 1
1.304 * [backup-simplify]: Simplify (+ 1 0) into 1
1.304 * [backup-simplify]: Simplify (+ 1 0) into 1
1.304 * [backup-simplify]: Simplify (* 1 1) into 1
1.304 * [backup-simplify]: Simplify (* 1 1) into 1
1.305 * [backup-simplify]: Simplify (/ 1 1) into 1
1.305 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0
1.305 * [backup-simplify]: Simplify (- 1) into -1
1.305 * [backup-simplify]: Simplify (+ 1.0 -1) into 0
1.305 * [taylor]: Taking taylor expansion of 0 in beta
1.305 * [backup-simplify]: Simplify 0 into 0
1.305 * [taylor]: Taking taylor expansion of 0 in i
1.305 * [backup-simplify]: Simplify 0 into 0
1.306 * [backup-simplify]: Simplify 0 into 0
1.306 * [backup-simplify]: Simplify (+ 0 0) into 0
1.306 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.306 * [backup-simplify]: Simplify (* 2.0 (/ 1 i)) into (/ 2.0 i)
1.306 * [backup-simplify]: Simplify (+ (/ 1 beta) 2.0) into (+ (/ 1 beta) 2.0)
1.306 * [backup-simplify]: Simplify (+ (/ 2.0 i) (+ (/ 1 beta) 2.0)) into (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))
1.307 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) into (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))
1.307 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.307 * [backup-simplify]: Simplify (* 2.0 (/ 1 i)) into (/ 2.0 i)
1.307 * [backup-simplify]: Simplify (+ (/ 2.0 i) (/ 1 beta)) into (+ (* 2.0 (/ 1 i)) (/ 1 beta))
1.307 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 (/ 1 i)) (/ 1 beta))) into (+ (* 2.0 (/ 1 i)) (/ 1 beta))
1.308 * [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))
1.308 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.308 * [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))
1.309 * [backup-simplify]: Simplify (- (+ (* 1 (/ (+ (* 4.0 (/ 1 i)) (+ (* 2 (/ 1 beta)) 2.0)) 1)))) into (- (+ (* 4.0 (/ 1 i)) (+ (* 2 (/ 1 beta)) 2.0)))
1.309 * [backup-simplify]: Simplify (- (- (+ (* 4.0 (/ 1 i)) (+ (* 2 (/ 1 beta)) 2.0)))) into (+ (* 4.0 (/ 1 i)) (+ (* 2 (/ 1 beta)) 2.0))
1.309 * [backup-simplify]: Simplify (+ 0 (+ (* 4.0 (/ 1 i)) (+ (* 2 (/ 1 beta)) 2.0))) into (+ (* 4.0 (/ 1 i)) (+ (* 2 (/ 1 beta)) 2.0))
1.309 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 i)) (+ (* 2 (/ 1 beta)) 2.0)) in beta
1.309 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 i)) in beta
1.309 * [taylor]: Taking taylor expansion of 4.0 in beta
1.309 * [backup-simplify]: Simplify 4.0 into 4.0
1.309 * [taylor]: Taking taylor expansion of (/ 1 i) in beta
1.309 * [taylor]: Taking taylor expansion of i in beta
1.309 * [backup-simplify]: Simplify i into i
1.309 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
1.309 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 beta)) 2.0) in beta
1.309 * [taylor]: Taking taylor expansion of (* 2 (/ 1 beta)) in beta
1.309 * [taylor]: Taking taylor expansion of 2 in beta
1.309 * [backup-simplify]: Simplify 2 into 2
1.309 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
1.309 * [taylor]: Taking taylor expansion of beta in beta
1.309 * [backup-simplify]: Simplify 0 into 0
1.309 * [backup-simplify]: Simplify 1 into 1
1.309 * [backup-simplify]: Simplify (/ 1 1) into 1
1.310 * [taylor]: Taking taylor expansion of 2.0 in beta
1.310 * [backup-simplify]: Simplify 2.0 into 2.0
1.310 * [backup-simplify]: Simplify (* 4.0 (/ 1 i)) into (/ 4.0 i)
1.310 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.310 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0
1.311 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
1.311 * [backup-simplify]: Simplify (+ (/ 4.0 i) 2.0) into (+ (* 4.0 (/ 1 i)) 2.0)
1.311 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 i)) 2.0) in i
1.311 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 i)) in i
1.311 * [taylor]: Taking taylor expansion of 4.0 in i
1.311 * [backup-simplify]: Simplify 4.0 into 4.0
1.311 * [taylor]: Taking taylor expansion of (/ 1 i) in i
1.311 * [taylor]: Taking taylor expansion of i in i
1.311 * [backup-simplify]: Simplify 0 into 0
1.311 * [backup-simplify]: Simplify 1 into 1
1.311 * [backup-simplify]: Simplify (/ 1 1) into 1
1.311 * [taylor]: Taking taylor expansion of 2.0 in i
1.311 * [backup-simplify]: Simplify 2.0 into 2.0
1.312 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.312 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 1)) into 0
1.312 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
1.312 * [backup-simplify]: Simplify 2.0 into 2.0
1.312 * [taylor]: Taking taylor expansion of 0 in i
1.312 * [backup-simplify]: Simplify 0 into 0
1.312 * [backup-simplify]: Simplify 0 into 0
1.312 * [backup-simplify]: Simplify 0 into 0
1.313 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow beta 2))) into (/ 1 (pow beta 2))
1.313 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.313 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
1.314 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 (/ 1 i))) into 0
1.314 * [backup-simplify]: Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
1.314 * [backup-simplify]: Simplify (+ 0 0) into 0
1.314 * [backup-simplify]: Simplify (+ 0 0) into 0
1.314 * [backup-simplify]: Simplify (+ 0 0) into 0
1.315 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.315 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
1.315 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 (/ 1 i))) into 0
1.315 * [backup-simplify]: Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
1.316 * [backup-simplify]: Simplify (+ 0 0) into 0
1.316 * [backup-simplify]: Simplify (+ 0 0) into 0
1.317 * [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))))))
1.317 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.318 * [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))))))
1.320 * [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)))))
1.320 * [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))))))
1.321 * [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))))))
1.321 * [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
1.321 * [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
1.321 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow beta 2))) in beta
1.321 * [taylor]: Taking taylor expansion of 2 in beta
1.321 * [backup-simplify]: Simplify 2 into 2
1.321 * [taylor]: Taking taylor expansion of (/ 1 (pow beta 2)) in beta
1.321 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
1.321 * [taylor]: Taking taylor expansion of beta in beta
1.321 * [backup-simplify]: Simplify 0 into 0
1.321 * [backup-simplify]: Simplify 1 into 1
1.322 * [backup-simplify]: Simplify (* 1 1) into 1
1.322 * [backup-simplify]: Simplify (/ 1 1) into 1
1.322 * [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
1.322 * [taylor]: Taking taylor expansion of (* 12.0 (/ 1 (pow i 2))) in beta
1.322 * [taylor]: Taking taylor expansion of 12.0 in beta
1.322 * [backup-simplify]: Simplify 12.0 into 12.0
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)
1.322 * [backup-simplify]: Simplify (/ 1 (pow i 2)) into (/ 1 (pow i 2))
1.322 * [taylor]: Taking taylor expansion of (+ (* 6.0 (/ 1 beta)) (+ (* 12.0 (/ 1 i)) (+ (* 12.0 (/ 1 (* i beta))) 4.0))) in beta
1.322 * [taylor]: Taking taylor expansion of (* 6.0 (/ 1 beta)) in beta
1.322 * [taylor]: Taking taylor expansion of 6.0 in beta
1.322 * [backup-simplify]: Simplify 6.0 into 6.0
1.322 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
1.322 * [taylor]: Taking taylor expansion of beta in beta
1.322 * [backup-simplify]: Simplify 0 into 0
1.322 * [backup-simplify]: Simplify 1 into 1
1.323 * [backup-simplify]: Simplify (/ 1 1) into 1
1.323 * [taylor]: Taking taylor expansion of (+ (* 12.0 (/ 1 i)) (+ (* 12.0 (/ 1 (* i beta))) 4.0)) in beta
1.323 * [taylor]: Taking taylor expansion of (* 12.0 (/ 1 i)) in beta
1.323 * [taylor]: Taking taylor expansion of 12.0 in beta
1.323 * [backup-simplify]: Simplify 12.0 into 12.0
1.323 * [taylor]: Taking taylor expansion of (/ 1 i) in beta
1.323 * [taylor]: Taking taylor expansion of i in beta
1.323 * [backup-simplify]: Simplify i into i
1.323 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
1.323 * [taylor]: Taking taylor expansion of (+ (* 12.0 (/ 1 (* i beta))) 4.0) in beta
1.323 * [taylor]: Taking taylor expansion of (* 12.0 (/ 1 (* i beta))) in beta
1.323 * [taylor]: Taking taylor expansion of 12.0 in beta
1.323 * [backup-simplify]: Simplify 12.0 into 12.0
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
1.323 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
1.323 * [taylor]: Taking taylor expansion of 4.0 in beta
1.323 * [backup-simplify]: Simplify 4.0 into 4.0
1.324 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.324 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.325 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.325 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.326 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0
1.326 * [backup-simplify]: Simplify (* 12.0 (/ 1 (pow i 2))) into (/ 12.0 (pow i 2))
1.326 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.327 * [backup-simplify]: Simplify (+ (* 6.0 0) (* 0 1)) into 0
1.327 * [backup-simplify]: Simplify (* 12.0 (/ 1 i)) into (/ 12.0 i)
1.327 * [backup-simplify]: Simplify (+ (* i 0) (+ (* 0 1) (* 0 0))) into 0
1.327 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
1.328 * [backup-simplify]: Simplify (+ (* 12.0 0) (* 0 (/ 1 i))) into 0
1.328 * [backup-simplify]: Simplify (+ 0 4.0) into 4.0
1.328 * [backup-simplify]: Simplify (+ (/ 12.0 i) 4.0) into (+ (* 12.0 (/ 1 i)) 4.0)
1.328 * [backup-simplify]: Simplify (+ 0 (+ (* 12.0 (/ 1 i)) 4.0)) into (+ (* 12.0 (/ 1 i)) 4.0)
1.328 * [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))
1.329 * [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))
1.329 * [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)))
1.329 * [taylor]: Taking taylor expansion of (- (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 12.0 (/ 1 i)) 4.0))) in i
1.329 * [taylor]: Taking taylor expansion of (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 12.0 (/ 1 i)) 4.0)) in i
1.329 * [taylor]: Taking taylor expansion of (* 12.0 (/ 1 (pow i 2))) in i
1.329 * [taylor]: Taking taylor expansion of 12.0 in i
1.329 * [backup-simplify]: Simplify 12.0 into 12.0
1.329 * [taylor]: Taking taylor expansion of (/ 1 (pow i 2)) in i
1.329 * [taylor]: Taking taylor expansion of (pow i 2) in i
1.329 * [taylor]: Taking taylor expansion of i in i
1.329 * [backup-simplify]: Simplify 0 into 0
1.329 * [backup-simplify]: Simplify 1 into 1
1.329 * [backup-simplify]: Simplify (* 1 1) into 1
1.329 * [backup-simplify]: Simplify (/ 1 1) into 1
1.329 * [taylor]: Taking taylor expansion of (+ (* 12.0 (/ 1 i)) 4.0) in i
1.330 * [taylor]: Taking taylor expansion of (* 12.0 (/ 1 i)) in i
1.330 * [taylor]: Taking taylor expansion of 12.0 in i
1.330 * [backup-simplify]: Simplify 12.0 into 12.0
1.330 * [taylor]: Taking taylor expansion of (/ 1 i) in i
1.330 * [taylor]: Taking taylor expansion of i in i
1.330 * [backup-simplify]: Simplify 0 into 0
1.330 * [backup-simplify]: Simplify 1 into 1
1.330 * [backup-simplify]: Simplify (/ 1 1) into 1
1.330 * [taylor]: Taking taylor expansion of 4.0 in i
1.330 * [backup-simplify]: Simplify 4.0 into 4.0
1.330 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.331 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.331 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.332 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.332 * [backup-simplify]: Simplify (+ (* 12.0 0) (+ (* 0 0) (* 0 1))) into 0
1.333 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.333 * [backup-simplify]: Simplify (+ (* 12.0 0) (* 0 1)) into 0
1.333 * [backup-simplify]: Simplify (+ 0 4.0) into 4.0
1.334 * [backup-simplify]: Simplify (+ 0 4.0) into 4.0
1.334 * [backup-simplify]: Simplify (- 4.0) into (- 4.0)
1.334 * [backup-simplify]: Simplify (- 4.0) into (- 4.0)
1.334 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
1.335 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 i))) into 0
1.335 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.336 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0
1.336 * [backup-simplify]: Simplify (+ 0 0) into 0
1.336 * [backup-simplify]: Simplify (+ 0 0) into 0
1.336 * [taylor]: Taking taylor expansion of 0 in i
1.336 * [backup-simplify]: Simplify 0 into 0
1.336 * [backup-simplify]: Simplify 0 into 0
1.336 * [taylor]: Taking taylor expansion of 0 in i
1.336 * [backup-simplify]: Simplify 0 into 0
1.336 * [backup-simplify]: Simplify 0 into 0
1.337 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.337 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 1))) into 0
1.338 * [backup-simplify]: Simplify (+ 0 0) into 0
1.338 * [backup-simplify]: Simplify 0 into 0
1.338 * [backup-simplify]: Simplify 0 into 0
1.338 * [backup-simplify]: Simplify 0 into 0
1.338 * [backup-simplify]: Simplify (+ (* beta 0) (* 0 beta)) into 0
1.338 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.338 * [backup-simplify]: Simplify (* 2.0 (/ 1 i)) into (/ 2.0 i)
1.338 * [backup-simplify]: Simplify (+ (/ 2.0 i) (/ 1 beta)) into (+ (* 2.0 (/ 1 i)) (/ 1 beta))
1.338 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 (/ 1 i)) (/ 1 beta))) into (+ (* 2.0 (/ 1 i)) (/ 1 beta))
1.339 * [backup-simplify]: Simplify (+ (* 1 0) (* (+ (* 2.0 (/ 1 i)) (/ 1 beta)) (pow beta 2))) into (+ (* 2.0 (/ (pow beta 2) i)) beta)
1.340 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.340 * [backup-simplify]: Simplify (* 2.0 (/ 1 i)) into (/ 2.0 i)
1.340 * [backup-simplify]: Simplify (+ (/ 1 beta) 2.0) into (+ (/ 1 beta) 2.0)
1.340 * [backup-simplify]: Simplify (+ (/ 2.0 i) (+ (/ 1 beta) 2.0)) into (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))
1.340 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) into (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))
1.341 * [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)))
1.342 * [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))))))
1.343 * [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))))))
1.344 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.344 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)) (* 0 (/ 0 i)))) into 0
1.345 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 (/ 1 i)))) into 0
1.345 * [backup-simplify]: Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
1.345 * [backup-simplify]: Simplify (+ 0 0) into 0
1.345 * [backup-simplify]: Simplify (+ 0 0) into 0
1.346 * [backup-simplify]: Simplify (+ 0 0) into 0
1.347 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.347 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)) (* 0 (/ 0 i)))) into 0
1.348 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 (/ 1 i)))) into 0
1.348 * [backup-simplify]: Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
1.348 * [backup-simplify]: Simplify (+ 0 0) into 0
1.349 * [backup-simplify]: Simplify (+ 0 0) into 0
1.350 * [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
1.351 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.353 * [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
1.357 * [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)))))))))))))
1.361 * [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)))))))))
1.365 * [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))))))))))))
1.365 * [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
1.365 * [taylor]: Taking taylor expansion of (* 20.0 (/ 1 (* i (pow beta 2)))) in beta
1.365 * [taylor]: Taking taylor expansion of 20.0 in beta
1.365 * [backup-simplify]: Simplify 20.0 into 20.0
1.365 * [taylor]: Taking taylor expansion of (/ 1 (* i (pow beta 2))) in beta
1.365 * [taylor]: Taking taylor expansion of (* i (pow beta 2)) in beta
1.365 * [taylor]: Taking taylor expansion of i in beta
1.365 * [backup-simplify]: Simplify i into i
1.365 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
1.366 * [taylor]: Taking taylor expansion of beta in beta
1.366 * [backup-simplify]: Simplify 0 into 0
1.366 * [backup-simplify]: Simplify 1 into 1
1.370 * [backup-simplify]: Simplify (* 1 1) into 1
1.370 * [backup-simplify]: Simplify (* i 1) into i
1.370 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
1.370 * [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
1.370 * [taylor]: Taking taylor expansion of (* 48.0 (/ 1 (pow i 2))) in beta
1.370 * [taylor]: Taking taylor expansion of 48.0 in beta
1.371 * [backup-simplify]: Simplify 48.0 into 48.0
1.371 * [taylor]: Taking taylor expansion of (/ 1 (pow i 2)) in beta
1.371 * [taylor]: Taking taylor expansion of (pow i 2) in beta
1.371 * [taylor]: Taking taylor expansion of i in beta
1.371 * [backup-simplify]: Simplify i into i
1.371 * [backup-simplify]: Simplify (* i i) into (pow i 2)
1.371 * [backup-simplify]: Simplify (/ 1 (pow i 2)) into (/ 1 (pow i 2))
1.371 * [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
1.371 * [taylor]: Taking taylor expansion of 8.0 in beta
1.371 * [backup-simplify]: Simplify 8.0 into 8.0
1.371 * [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
1.371 * [taylor]: Taking taylor expansion of (* 10.0 (/ 1 (pow beta 2))) in beta
1.371 * [taylor]: Taking taylor expansion of 10.0 in beta
1.371 * [backup-simplify]: Simplify 10.0 into 10.0
1.371 * [taylor]: Taking taylor expansion of (/ 1 (pow beta 2)) in beta
1.371 * [taylor]: Taking taylor expansion of (pow beta 2) 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
1.372 * [backup-simplify]: Simplify (* 1 1) into 1
1.373 * [backup-simplify]: Simplify (/ 1 1) into 1
1.373 * [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
1.373 * [taylor]: Taking taylor expansion of (* 48.0 (/ 1 (* i beta))) in beta
1.373 * [taylor]: Taking taylor expansion of 48.0 in beta
1.373 * [backup-simplify]: Simplify 48.0 into 48.0
1.373 * [taylor]: Taking taylor expansion of (/ 1 (* i beta)) in beta
1.373 * [taylor]: Taking taylor expansion of (* i beta) in beta
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 (* i 0) into 0
1.374 * [backup-simplify]: Simplify (+ (* i 1) (* 0 0)) into i
1.374 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
1.374 * [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
1.374 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow beta 3))) in beta
1.374 * [taylor]: Taking taylor expansion of 2 in beta
1.374 * [backup-simplify]: Simplify 2 into 2
1.374 * [taylor]: Taking taylor expansion of (/ 1 (pow beta 3)) in beta
1.374 * [taylor]: Taking taylor expansion of (pow beta 3) in beta
1.374 * [taylor]: Taking taylor expansion of beta in beta
1.374 * [backup-simplify]: Simplify 0 into 0
1.374 * [backup-simplify]: Simplify 1 into 1
1.374 * [backup-simplify]: Simplify (* 1 1) into 1
1.375 * [backup-simplify]: Simplify (* 1 1) into 1
1.375 * [backup-simplify]: Simplify (/ 1 1) into 1
1.375 * [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
1.375 * [taylor]: Taking taylor expansion of (* 48.0 (/ 1 (* (pow i 2) beta))) in beta
1.375 * [taylor]: Taking taylor expansion of 48.0 in beta
1.375 * [backup-simplify]: Simplify 48.0 into 48.0
1.375 * [taylor]: Taking taylor expansion of (/ 1 (* (pow i 2) beta)) in beta
1.375 * [taylor]: Taking taylor expansion of (* (pow i 2) beta) in beta
1.375 * [taylor]: Taking taylor expansion of (pow i 2) in beta
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
1.376 * [backup-simplify]: Simplify 1 into 1
1.376 * [backup-simplify]: Simplify (* i i) into (pow i 2)
1.376 * [backup-simplify]: Simplify (* (pow i 2) 0) into 0
1.376 * [backup-simplify]: Simplify (+ (* i 0) (* 0 i)) into 0
1.376 * [backup-simplify]: Simplify (+ (* (pow i 2) 1) (* 0 0)) into (pow i 2)
1.377 * [backup-simplify]: Simplify (/ 1 (pow i 2)) into (/ 1 (pow i 2))
1.377 * [taylor]: Taking taylor expansion of (+ (* 32.0 (/ 1 i)) (+ (* 16.0 (/ 1 beta)) (* 32.0 (/ 1 (pow i 3))))) in beta
1.377 * [taylor]: Taking taylor expansion of (* 32.0 (/ 1 i)) in beta
1.377 * [taylor]: Taking taylor expansion of 32.0 in beta
1.377 * [backup-simplify]: Simplify 32.0 into 32.0
1.377 * [taylor]: Taking taylor expansion of (/ 1 i) in beta
1.377 * [taylor]: Taking taylor expansion of i in beta
1.377 * [backup-simplify]: Simplify i into i
1.377 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
1.377 * [taylor]: Taking taylor expansion of (+ (* 16.0 (/ 1 beta)) (* 32.0 (/ 1 (pow i 3)))) in beta
1.377 * [taylor]: Taking taylor expansion of (* 16.0 (/ 1 beta)) in beta
1.377 * [taylor]: Taking taylor expansion of 16.0 in beta
1.377 * [backup-simplify]: Simplify 16.0 into 16.0
1.377 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
1.377 * [taylor]: Taking taylor expansion of beta in beta
1.377 * [backup-simplify]: Simplify 0 into 0
1.377 * [backup-simplify]: Simplify 1 into 1
1.377 * [backup-simplify]: Simplify (/ 1 1) into 1
1.377 * [taylor]: Taking taylor expansion of (* 32.0 (/ 1 (pow i 3))) in beta
1.377 * [taylor]: Taking taylor expansion of 32.0 in beta
1.377 * [backup-simplify]: Simplify 32.0 into 32.0
1.378 * [taylor]: Taking taylor expansion of (/ 1 (pow i 3)) in beta
1.378 * [taylor]: Taking taylor expansion of (pow i 3) in beta
1.378 * [taylor]: Taking taylor expansion of i in beta
1.378 * [backup-simplify]: Simplify i into i
1.378 * [backup-simplify]: Simplify (* i i) into (pow i 2)
1.378 * [backup-simplify]: Simplify (* i (pow i 2)) into (pow i 3)
1.378 * [backup-simplify]: Simplify (/ 1 (pow i 3)) into (/ 1 (pow i 3))
1.379 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.379 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.380 * [backup-simplify]: Simplify (+ (* i 0) (+ (* 0 0) (* 0 1))) into 0
1.380 * [backup-simplify]: Simplify (+ (* i 0) (* 0 1)) into 0
1.381 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
1.381 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)) (* 0 (/ 0 i)))) into 0
1.382 * [backup-simplify]: Simplify (+ (* 20.0 0) (+ (* 0 0) (* 0 (/ 1 i)))) into 0
1.382 * [backup-simplify]: Simplify (* 48.0 (/ 1 (pow i 2))) into (/ 48.0 (pow i 2))
1.383 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.383 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.384 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.385 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.385 * [backup-simplify]: Simplify (+ (* 10.0 0) (+ (* 0 0) (* 0 1))) into 0
1.386 * [backup-simplify]: Simplify (+ (* i 0) (+ (* 0 1) (* 0 0))) into 0
1.386 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
1.387 * [backup-simplify]: Simplify (+ (* 48.0 0) (* 0 (/ 1 i))) into 0
1.387 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.388 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.389 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.390 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.390 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.391 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.392 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.392 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.393 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.394 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.395 * [backup-simplify]: Simplify (+ (* i 0) (+ (* 0 0) (* 0 i))) into 0
1.395 * [backup-simplify]: Simplify (+ (* (pow i 2) 0) (+ (* 0 1) (* 0 0))) into 0
1.396 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow i 2)) (/ 0 (pow i 2))))) into 0
1.396 * [backup-simplify]: Simplify (+ (* 48.0 0) (* 0 (/ 1 (pow i 2)))) into 0
1.396 * [backup-simplify]: Simplify (* 32.0 (/ 1 i)) into (/ 32.0 i)
1.397 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.398 * [backup-simplify]: Simplify (+ (* 16.0 0) (* 0 1)) into 0
1.398 * [backup-simplify]: Simplify (* 32.0 (/ 1 (pow i 3))) into (/ 32.0 (pow i 3))
1.398 * [backup-simplify]: Simplify (+ 0 (/ 32.0 (pow i 3))) into (* 32.0 (/ 1 (pow i 3)))
1.398 * [backup-simplify]: Simplify (+ (/ 32.0 i) (* 32.0 (/ 1 (pow i 3)))) into (+ (* 32.0 (/ 1 i)) (* 32.0 (/ 1 (pow i 3))))
1.399 * [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)))
1.399 * [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)))
1.399 * [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)))
1.400 * [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)))
1.400 * [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))
1.401 * [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)))
1.401 * [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)))
1.401 * [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
1.401 * [taylor]: Taking taylor expansion of (* 48.0 (/ 1 (pow i 2))) in i
1.401 * [taylor]: Taking taylor expansion of 48.0 in i
1.401 * [backup-simplify]: Simplify 48.0 into 48.0
1.401 * [taylor]: Taking taylor expansion of (/ 1 (pow i 2)) in i
1.401 * [taylor]: Taking taylor expansion of (pow i 2) in i
1.401 * [taylor]: Taking taylor expansion of i in i
1.402 * [backup-simplify]: Simplify 0 into 0
1.402 * [backup-simplify]: Simplify 1 into 1
1.402 * [backup-simplify]: Simplify (* 1 1) into 1
1.402 * [backup-simplify]: Simplify (/ 1 1) into 1
1.402 * [taylor]: Taking taylor expansion of (+ (* 32.0 (/ 1 (pow i 3))) (+ (* 32.0 (/ 1 i)) 8.0)) in i
1.402 * [taylor]: Taking taylor expansion of (* 32.0 (/ 1 (pow i 3))) in i
1.402 * [taylor]: Taking taylor expansion of 32.0 in i
1.402 * [backup-simplify]: Simplify 32.0 into 32.0
1.403 * [taylor]: Taking taylor expansion of (/ 1 (pow i 3)) in i
1.403 * [taylor]: Taking taylor expansion of (pow i 3) in i
1.403 * [taylor]: Taking taylor expansion of i in i
1.403 * [backup-simplify]: Simplify 0 into 0
1.403 * [backup-simplify]: Simplify 1 into 1
1.403 * [backup-simplify]: Simplify (* 1 1) into 1
1.403 * [backup-simplify]: Simplify (* 1 1) into 1
1.404 * [backup-simplify]: Simplify (/ 1 1) into 1
1.404 * [taylor]: Taking taylor expansion of (+ (* 32.0 (/ 1 i)) 8.0) in i
1.404 * [taylor]: Taking taylor expansion of (* 32.0 (/ 1 i)) in i
1.404 * [taylor]: Taking taylor expansion of 32.0 in i
1.404 * [backup-simplify]: Simplify 32.0 into 32.0
1.404 * [taylor]: Taking taylor expansion of (/ 1 i) in i
1.404 * [taylor]: Taking taylor expansion of i in i
1.404 * [backup-simplify]: Simplify 0 into 0
1.404 * [backup-simplify]: Simplify 1 into 1
1.404 * [backup-simplify]: Simplify (/ 1 1) into 1
1.404 * [taylor]: Taking taylor expansion of 8.0 in i
1.404 * [backup-simplify]: Simplify 8.0 into 8.0
1.405 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.406 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.406 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.407 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.408 * [backup-simplify]: Simplify (+ (* 48.0 0) (+ (* 0 0) (* 0 1))) into 0
1.409 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.410 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.410 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.411 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.412 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.413 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.413 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.414 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.415 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.416 * [backup-simplify]: Simplify (+ (* 32.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.416 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.417 * [backup-simplify]: Simplify (+ (* 32.0 0) (* 0 1)) into 0
1.418 * [backup-simplify]: Simplify (+ 0 8.0) into 8.0
1.418 * [backup-simplify]: Simplify (+ 0 8.0) into 8.0
1.418 * [backup-simplify]: Simplify (+ 0 8.0) into 8.0
1.418 * [backup-simplify]: Simplify 8.0 into 8.0
1.419 * [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))))
1.421 * [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)))))
1.421 * [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
1.421 * [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
1.421 * [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
1.421 * [taylor]: Taking taylor expansion of 1.0 in i
1.421 * [backup-simplify]: Simplify 1.0 into 1.0
1.421 * [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
1.421 * [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
1.421 * [taylor]: Taking taylor expansion of (pow alpha 2) in i
1.421 * [taylor]: Taking taylor expansion of alpha in i
1.421 * [backup-simplify]: Simplify alpha into alpha
1.421 * [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
1.421 * [taylor]: Taking taylor expansion of (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) in i
1.421 * [taylor]: Taking taylor expansion of 2.0 in i
1.421 * [backup-simplify]: Simplify 2.0 into 2.0
1.421 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in i
1.421 * [taylor]: Taking taylor expansion of (/ 1 alpha) in i
1.421 * [taylor]: Taking taylor expansion of alpha in i
1.421 * [backup-simplify]: Simplify alpha into alpha
1.421 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
1.421 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in i
1.422 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in i
1.422 * [taylor]: Taking taylor expansion of 2.0 in i
1.422 * [backup-simplify]: Simplify 2.0 into 2.0
1.422 * [taylor]: Taking taylor expansion of (/ 1 i) in i
1.422 * [taylor]: Taking taylor expansion of i in i
1.422 * [backup-simplify]: Simplify 0 into 0
1.422 * [backup-simplify]: Simplify 1 into 1
1.422 * [backup-simplify]: Simplify (/ 1 1) into 1
1.422 * [taylor]: Taking taylor expansion of (/ 1 beta) in i
1.422 * [taylor]: Taking taylor expansion of beta in i
1.422 * [backup-simplify]: Simplify beta into beta
1.422 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
1.422 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in i
1.422 * [taylor]: Taking taylor expansion of (/ 1 alpha) in i
1.422 * [taylor]: Taking taylor expansion of alpha in i
1.422 * [backup-simplify]: Simplify alpha into alpha
1.422 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
1.422 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in i
1.422 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in i
1.422 * [taylor]: Taking taylor expansion of 2.0 in i
1.422 * [backup-simplify]: Simplify 2.0 into 2.0
1.423 * [taylor]: Taking taylor expansion of (/ 1 i) in i
1.423 * [taylor]: Taking taylor expansion of i in i
1.423 * [backup-simplify]: Simplify 0 into 0
1.423 * [backup-simplify]: Simplify 1 into 1
1.423 * [backup-simplify]: Simplify (/ 1 1) into 1
1.423 * [taylor]: Taking taylor expansion of (/ 1 beta) in i
1.423 * [taylor]: Taking taylor expansion of beta in i
1.423 * [backup-simplify]: Simplify beta into beta
1.423 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
1.423 * [backup-simplify]: Simplify (* alpha alpha) into (pow alpha 2)
1.424 * [backup-simplify]: Simplify (* 2.0 1) into 2.0
1.424 * [backup-simplify]: Simplify (+ 2.0 0) into 2.0
1.424 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
1.425 * [backup-simplify]: Simplify (- 2.0) into (- 2.0)
1.426 * [backup-simplify]: Simplify (+ 0 (- 2.0)) into (- 2.0)
1.426 * [backup-simplify]: Simplify (* 2.0 1) into 2.0
1.426 * [backup-simplify]: Simplify (+ 2.0 0) into 2.0
1.427 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
1.428 * [backup-simplify]: Simplify (* (- 2.0) 2.0) into -4.0
1.428 * [backup-simplify]: Simplify (* (pow alpha 2) -4.0) into (* -4.0 (pow alpha 2))
1.428 * [backup-simplify]: Simplify (/ 1 (* -4.0 (pow alpha 2))) into (/ -0.25 (pow alpha 2))
1.428 * [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
1.428 * [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
1.428 * [taylor]: Taking taylor expansion of (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) in i
1.428 * [taylor]: Taking taylor expansion of 2.0 in i
1.428 * [backup-simplify]: Simplify 2.0 into 2.0
1.428 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in i
1.428 * [taylor]: Taking taylor expansion of (/ 1 alpha) in i
1.428 * [taylor]: Taking taylor expansion of alpha in i
1.428 * [backup-simplify]: Simplify alpha into alpha
1.428 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
1.428 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in i
1.428 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in i
1.428 * [taylor]: Taking taylor expansion of 2.0 in i
1.428 * [backup-simplify]: Simplify 2.0 into 2.0
1.428 * [taylor]: Taking taylor expansion of (/ 1 i) in i
1.428 * [taylor]: Taking taylor expansion of i in i
1.428 * [backup-simplify]: Simplify 0 into 0
1.428 * [backup-simplify]: Simplify 1 into 1
1.429 * [backup-simplify]: Simplify (/ 1 1) into 1
1.429 * [taylor]: Taking taylor expansion of (/ 1 beta) in i
1.429 * [taylor]: Taking taylor expansion of beta in i
1.429 * [backup-simplify]: Simplify beta into beta
1.429 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
1.429 * [taylor]: Taking taylor expansion of (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2)) in i
1.429 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in i
1.429 * [taylor]: Taking taylor expansion of (/ 1 alpha) in i
1.429 * [taylor]: Taking taylor expansion of alpha in i
1.429 * [backup-simplify]: Simplify alpha into alpha
1.429 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
1.429 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in i
1.429 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in i
1.429 * [taylor]: Taking taylor expansion of 2.0 in i
1.429 * [backup-simplify]: Simplify 2.0 into 2.0
1.429 * [taylor]: Taking taylor expansion of (/ 1 i) in i
1.429 * [taylor]: Taking taylor expansion of i in i
1.429 * [backup-simplify]: Simplify 0 into 0
1.429 * [backup-simplify]: Simplify 1 into 1
1.430 * [backup-simplify]: Simplify (/ 1 1) into 1
1.430 * [taylor]: Taking taylor expansion of (/ 1 beta) in i
1.430 * [taylor]: Taking taylor expansion of beta in i
1.430 * [backup-simplify]: Simplify beta into beta
1.430 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
1.430 * [taylor]: Taking taylor expansion of (pow beta 2) in i
1.430 * [taylor]: Taking taylor expansion of beta in i
1.430 * [backup-simplify]: Simplify beta into beta
1.430 * [backup-simplify]: Simplify (* 2.0 1) into 2.0
1.430 * [backup-simplify]: Simplify (+ 2.0 0) into 2.0
1.431 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
1.431 * [backup-simplify]: Simplify (- 2.0) into (- 2.0)
1.432 * [backup-simplify]: Simplify (+ 0 (- 2.0)) into (- 2.0)
1.432 * [backup-simplify]: Simplify (* 2.0 1) into 2.0
1.432 * [backup-simplify]: Simplify (+ 2.0 0) into 2.0
1.433 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
1.433 * [backup-simplify]: Simplify (* beta beta) into (pow beta 2)
1.433 * [backup-simplify]: Simplify (* 2.0 (pow beta 2)) into (* 2.0 (pow beta 2))
1.433 * [backup-simplify]: Simplify (* (- 2.0) (* 2.0 (pow beta 2))) into (* -4.0 (pow beta 2))
1.433 * [backup-simplify]: Simplify (/ 1 (* -4.0 (pow beta 2))) into (/ -0.25 (pow beta 2))
1.433 * [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
1.433 * [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
1.433 * [taylor]: Taking taylor expansion of 1.0 in beta
1.433 * [backup-simplify]: Simplify 1.0 into 1.0
1.433 * [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
1.433 * [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
1.433 * [taylor]: Taking taylor expansion of (pow alpha 2) in beta
1.433 * [taylor]: Taking taylor expansion of alpha in beta
1.433 * [backup-simplify]: Simplify alpha into alpha
1.433 * [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
1.433 * [taylor]: Taking taylor expansion of (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) in beta
1.433 * [taylor]: Taking taylor expansion of 2.0 in beta
1.433 * [backup-simplify]: Simplify 2.0 into 2.0
1.433 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in beta
1.434 * [taylor]: Taking taylor expansion of (/ 1 alpha) in beta
1.434 * [taylor]: Taking taylor expansion of alpha in beta
1.434 * [backup-simplify]: Simplify alpha into alpha
1.434 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
1.434 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in beta
1.434 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in beta
1.434 * [taylor]: Taking taylor expansion of 2.0 in beta
1.434 * [backup-simplify]: Simplify 2.0 into 2.0
1.434 * [taylor]: Taking taylor expansion of (/ 1 i) in beta
1.434 * [taylor]: Taking taylor expansion of i in beta
1.434 * [backup-simplify]: Simplify i into i
1.434 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
1.434 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
1.434 * [taylor]: Taking taylor expansion of beta in beta
1.434 * [backup-simplify]: Simplify 0 into 0
1.434 * [backup-simplify]: Simplify 1 into 1
1.434 * [backup-simplify]: Simplify (/ 1 1) into 1
1.434 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in beta
1.434 * [taylor]: Taking taylor expansion of (/ 1 alpha) in beta
1.434 * [taylor]: Taking taylor expansion of alpha in beta
1.434 * [backup-simplify]: Simplify alpha into alpha
1.434 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
1.434 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in beta
1.434 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in beta
1.434 * [taylor]: Taking taylor expansion of 2.0 in beta
1.434 * [backup-simplify]: Simplify 2.0 into 2.0
1.434 * [taylor]: Taking taylor expansion of (/ 1 i) in beta
1.434 * [taylor]: Taking taylor expansion of i in beta
1.434 * [backup-simplify]: Simplify i into i
1.434 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
1.434 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
1.434 * [taylor]: Taking taylor expansion of beta in beta
1.434 * [backup-simplify]: Simplify 0 into 0
1.434 * [backup-simplify]: Simplify 1 into 1
1.435 * [backup-simplify]: Simplify (/ 1 1) into 1
1.435 * [backup-simplify]: Simplify (* alpha alpha) into (pow alpha 2)
1.435 * [backup-simplify]: Simplify (+ 0 1) into 1
1.435 * [backup-simplify]: Simplify (+ 0 1) into 1
1.435 * [backup-simplify]: Simplify (- 1) into -1
1.436 * [backup-simplify]: Simplify (+ 0 -1) into -1
1.436 * [backup-simplify]: Simplify (+ 0 1) into 1
1.436 * [backup-simplify]: Simplify (+ 0 1) into 1
1.436 * [backup-simplify]: Simplify (* -1 1) into -1
1.437 * [backup-simplify]: Simplify (* (pow alpha 2) -1) into (* -1 (pow alpha 2))
1.437 * [backup-simplify]: Simplify (/ 1 (* -1 (pow alpha 2))) into (/ -1 (pow alpha 2))
1.437 * [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
1.437 * [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
1.437 * [taylor]: Taking taylor expansion of (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) in beta
1.437 * [taylor]: Taking taylor expansion of 2.0 in beta
1.437 * [backup-simplify]: Simplify 2.0 into 2.0
1.437 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in beta
1.437 * [taylor]: Taking taylor expansion of (/ 1 alpha) in beta
1.437 * [taylor]: Taking taylor expansion of alpha in beta
1.437 * [backup-simplify]: Simplify alpha into alpha
1.437 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
1.437 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in beta
1.437 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in beta
1.437 * [taylor]: Taking taylor expansion of 2.0 in beta
1.437 * [backup-simplify]: Simplify 2.0 into 2.0
1.437 * [taylor]: Taking taylor expansion of (/ 1 i) in beta
1.437 * [taylor]: Taking taylor expansion of i in beta
1.437 * [backup-simplify]: Simplify i into i
1.437 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
1.437 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
1.437 * [taylor]: Taking taylor expansion of beta in beta
1.437 * [backup-simplify]: Simplify 0 into 0
1.437 * [backup-simplify]: Simplify 1 into 1
1.437 * [backup-simplify]: Simplify (/ 1 1) into 1
1.437 * [taylor]: Taking taylor expansion of (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2)) in beta
1.437 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in beta
1.437 * [taylor]: Taking taylor expansion of (/ 1 alpha) in beta
1.437 * [taylor]: Taking taylor expansion of alpha in beta
1.437 * [backup-simplify]: Simplify alpha into alpha
1.437 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
1.437 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in beta
1.438 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in beta
1.438 * [taylor]: Taking taylor expansion of 2.0 in beta
1.438 * [backup-simplify]: Simplify 2.0 into 2.0
1.438 * [taylor]: Taking taylor expansion of (/ 1 i) in beta
1.438 * [taylor]: Taking taylor expansion of i in beta
1.438 * [backup-simplify]: Simplify i into i
1.438 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
1.438 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
1.438 * [taylor]: Taking taylor expansion of beta in beta
1.438 * [backup-simplify]: Simplify 0 into 0
1.438 * [backup-simplify]: Simplify 1 into 1
1.438 * [backup-simplify]: Simplify (/ 1 1) into 1
1.438 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
1.438 * [taylor]: Taking taylor expansion of beta in beta
1.438 * [backup-simplify]: Simplify 0 into 0
1.438 * [backup-simplify]: Simplify 1 into 1
1.438 * [backup-simplify]: Simplify (+ 0 1) into 1
1.439 * [backup-simplify]: Simplify (+ 0 1) into 1
1.439 * [backup-simplify]: Simplify (- 1) into -1
1.439 * [backup-simplify]: Simplify (+ 0 -1) into -1
1.439 * [backup-simplify]: Simplify (+ 0 1) into 1
1.439 * [backup-simplify]: Simplify (+ 0 1) into 1
1.440 * [backup-simplify]: Simplify (* 1 1) into 1
1.440 * [backup-simplify]: Simplify (* 1 1) into 1
1.440 * [backup-simplify]: Simplify (* -1 1) into -1
1.440 * [backup-simplify]: Simplify (/ 1 -1) into -1
1.440 * [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
1.441 * [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
1.441 * [taylor]: Taking taylor expansion of 1.0 in alpha
1.441 * [backup-simplify]: Simplify 1.0 into 1.0
1.441 * [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
1.441 * [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
1.441 * [taylor]: Taking taylor expansion of (pow alpha 2) in alpha
1.441 * [taylor]: Taking taylor expansion of alpha in alpha
1.441 * [backup-simplify]: Simplify 0 into 0
1.441 * [backup-simplify]: Simplify 1 into 1
1.441 * [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
1.441 * [taylor]: Taking taylor expansion of (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) in alpha
1.441 * [taylor]: Taking taylor expansion of 2.0 in alpha
1.441 * [backup-simplify]: Simplify 2.0 into 2.0
1.441 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in alpha
1.441 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
1.441 * [taylor]: Taking taylor expansion of alpha in alpha
1.441 * [backup-simplify]: Simplify 0 into 0
1.441 * [backup-simplify]: Simplify 1 into 1
1.441 * [backup-simplify]: Simplify (/ 1 1) into 1
1.441 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in alpha
1.441 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
1.441 * [taylor]: Taking taylor expansion of 2.0 in alpha
1.441 * [backup-simplify]: Simplify 2.0 into 2.0
1.441 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
1.441 * [taylor]: Taking taylor expansion of i in alpha
1.441 * [backup-simplify]: Simplify i into i
1.441 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
1.441 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
1.441 * [taylor]: Taking taylor expansion of beta in alpha
1.441 * [backup-simplify]: Simplify beta into beta
1.441 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
1.441 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in alpha
1.441 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
1.441 * [taylor]: Taking taylor expansion of alpha in alpha
1.441 * [backup-simplify]: Simplify 0 into 0
1.441 * [backup-simplify]: Simplify 1 into 1
1.442 * [backup-simplify]: Simplify (/ 1 1) into 1
1.442 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in alpha
1.442 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
1.442 * [taylor]: Taking taylor expansion of 2.0 in alpha
1.442 * [backup-simplify]: Simplify 2.0 into 2.0
1.442 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
1.442 * [taylor]: Taking taylor expansion of i in alpha
1.442 * [backup-simplify]: Simplify i into i
1.442 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
1.442 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
1.442 * [taylor]: Taking taylor expansion of beta in alpha
1.442 * [backup-simplify]: Simplify beta into beta
1.442 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
1.442 * [backup-simplify]: Simplify (* 1 1) into 1
1.442 * [backup-simplify]: Simplify (+ 1 0) into 1
1.443 * [backup-simplify]: Simplify (- 1) into -1
1.443 * [backup-simplify]: Simplify (+ 0 -1) into -1
1.443 * [backup-simplify]: Simplify (+ 1 0) into 1
1.443 * [backup-simplify]: Simplify (* -1 1) into -1
1.444 * [backup-simplify]: Simplify (* 1 -1) into -1
1.444 * [backup-simplify]: Simplify (/ 1 -1) into -1
1.444 * [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
1.444 * [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
1.444 * [taylor]: Taking taylor expansion of (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) in alpha
1.444 * [taylor]: Taking taylor expansion of 2.0 in alpha
1.444 * [backup-simplify]: Simplify 2.0 into 2.0
1.444 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in alpha
1.444 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
1.444 * [taylor]: Taking taylor expansion of alpha in alpha
1.444 * [backup-simplify]: Simplify 0 into 0
1.444 * [backup-simplify]: Simplify 1 into 1
1.444 * [backup-simplify]: Simplify (/ 1 1) into 1
1.444 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in alpha
1.444 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
1.444 * [taylor]: Taking taylor expansion of 2.0 in alpha
1.445 * [backup-simplify]: Simplify 2.0 into 2.0
1.445 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
1.445 * [taylor]: Taking taylor expansion of i in alpha
1.445 * [backup-simplify]: Simplify i into i
1.445 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
1.445 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
1.445 * [taylor]: Taking taylor expansion of beta in alpha
1.445 * [backup-simplify]: Simplify beta into beta
1.445 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
1.445 * [taylor]: Taking taylor expansion of (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2)) in alpha
1.445 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in alpha
1.445 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
1.445 * [taylor]: Taking taylor expansion of alpha in alpha
1.445 * [backup-simplify]: Simplify 0 into 0
1.445 * [backup-simplify]: Simplify 1 into 1
1.445 * [backup-simplify]: Simplify (/ 1 1) into 1
1.445 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in alpha
1.445 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
1.445 * [taylor]: Taking taylor expansion of 2.0 in alpha
1.445 * [backup-simplify]: Simplify 2.0 into 2.0
1.445 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
1.445 * [taylor]: Taking taylor expansion of i in alpha
1.445 * [backup-simplify]: Simplify i into i
1.445 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
1.445 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
1.445 * [taylor]: Taking taylor expansion of beta in alpha
1.445 * [backup-simplify]: Simplify beta into beta
1.445 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
1.445 * [taylor]: Taking taylor expansion of (pow beta 2) in alpha
1.445 * [taylor]: Taking taylor expansion of beta in alpha
1.445 * [backup-simplify]: Simplify beta into beta
1.446 * [backup-simplify]: Simplify (+ 1 0) into 1
1.446 * [backup-simplify]: Simplify (- 1) into -1
1.446 * [backup-simplify]: Simplify (+ 0 -1) into -1
1.446 * [backup-simplify]: Simplify (+ 1 0) into 1
1.446 * [backup-simplify]: Simplify (* beta beta) into (pow beta 2)
1.447 * [backup-simplify]: Simplify (* 1 (pow beta 2)) into (pow beta 2)
1.447 * [backup-simplify]: Simplify (* -1 (pow beta 2)) into (* -1 (pow beta 2))
1.447 * [backup-simplify]: Simplify (/ 1 (* -1 (pow beta 2))) into (/ -1 (pow beta 2))
1.447 * [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
1.447 * [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
1.447 * [taylor]: Taking taylor expansion of 1.0 in alpha
1.447 * [backup-simplify]: Simplify 1.0 into 1.0
1.447 * [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
1.447 * [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
1.447 * [taylor]: Taking taylor expansion of (pow alpha 2) in alpha
1.447 * [taylor]: Taking taylor expansion of alpha in alpha
1.447 * [backup-simplify]: Simplify 0 into 0
1.447 * [backup-simplify]: Simplify 1 into 1
1.447 * [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
1.447 * [taylor]: Taking taylor expansion of (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) in alpha
1.447 * [taylor]: Taking taylor expansion of 2.0 in alpha
1.447 * [backup-simplify]: Simplify 2.0 into 2.0
1.447 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in alpha
1.447 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
1.447 * [taylor]: Taking taylor expansion of alpha in alpha
1.447 * [backup-simplify]: Simplify 0 into 0
1.447 * [backup-simplify]: Simplify 1 into 1
1.447 * [backup-simplify]: Simplify (/ 1 1) into 1
1.447 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in alpha
1.447 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
1.447 * [taylor]: Taking taylor expansion of 2.0 in alpha
1.447 * [backup-simplify]: Simplify 2.0 into 2.0
1.447 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
1.448 * [taylor]: Taking taylor expansion of i in alpha
1.448 * [backup-simplify]: Simplify i into i
1.448 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
1.448 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
1.448 * [taylor]: Taking taylor expansion of beta in alpha
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 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in alpha
1.448 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
1.448 * [taylor]: Taking taylor expansion of alpha in alpha
1.448 * [backup-simplify]: Simplify 0 into 0
1.448 * [backup-simplify]: Simplify 1 into 1
1.448 * [backup-simplify]: Simplify (/ 1 1) into 1
1.448 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in alpha
1.448 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
1.448 * [taylor]: Taking taylor expansion of 2.0 in alpha
1.448 * [backup-simplify]: Simplify 2.0 into 2.0
1.448 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
1.448 * [taylor]: Taking taylor expansion of i in alpha
1.448 * [backup-simplify]: Simplify i into i
1.448 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
1.448 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
1.448 * [taylor]: Taking taylor expansion of beta in alpha
1.448 * [backup-simplify]: Simplify beta into beta
1.448 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
1.448 * [backup-simplify]: Simplify (* 1 1) into 1
1.449 * [backup-simplify]: Simplify (+ 1 0) into 1
1.449 * [backup-simplify]: Simplify (- 1) into -1
1.449 * [backup-simplify]: Simplify (+ 0 -1) into -1
1.449 * [backup-simplify]: Simplify (+ 1 0) into 1
1.450 * [backup-simplify]: Simplify (* -1 1) into -1
1.450 * [backup-simplify]: Simplify (* 1 -1) into -1
1.450 * [backup-simplify]: Simplify (/ 1 -1) into -1
1.450 * [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
1.450 * [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
1.450 * [taylor]: Taking taylor expansion of (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) in alpha
1.450 * [taylor]: Taking taylor expansion of 2.0 in alpha
1.450 * [backup-simplify]: Simplify 2.0 into 2.0
1.450 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in alpha
1.450 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
1.450 * [taylor]: Taking taylor expansion of alpha in alpha
1.450 * [backup-simplify]: Simplify 0 into 0
1.450 * [backup-simplify]: Simplify 1 into 1
1.451 * [backup-simplify]: Simplify (/ 1 1) into 1
1.451 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in alpha
1.451 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
1.451 * [taylor]: Taking taylor expansion of 2.0 in alpha
1.451 * [backup-simplify]: Simplify 2.0 into 2.0
1.451 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
1.451 * [taylor]: Taking taylor expansion of i in alpha
1.451 * [backup-simplify]: Simplify i into i
1.451 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
1.451 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
1.451 * [taylor]: Taking taylor expansion of beta in alpha
1.451 * [backup-simplify]: Simplify beta into beta
1.451 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
1.451 * [taylor]: Taking taylor expansion of (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2)) in alpha
1.451 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in alpha
1.451 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
1.451 * [taylor]: Taking taylor expansion of alpha in alpha
1.451 * [backup-simplify]: Simplify 0 into 0
1.451 * [backup-simplify]: Simplify 1 into 1
1.451 * [backup-simplify]: Simplify (/ 1 1) into 1
1.451 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in alpha
1.451 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
1.451 * [taylor]: Taking taylor expansion of 2.0 in alpha
1.451 * [backup-simplify]: Simplify 2.0 into 2.0
1.451 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
1.451 * [taylor]: Taking taylor expansion of i in alpha
1.451 * [backup-simplify]: Simplify i into i
1.451 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
1.451 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
1.451 * [taylor]: Taking taylor expansion of beta in alpha
1.451 * [backup-simplify]: Simplify beta into beta
1.452 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
1.452 * [taylor]: Taking taylor expansion of (pow beta 2) in alpha
1.452 * [taylor]: Taking taylor expansion of beta in alpha
1.452 * [backup-simplify]: Simplify beta into beta
1.452 * [backup-simplify]: Simplify (+ 1 0) into 1
1.452 * [backup-simplify]: Simplify (- 1) into -1
1.452 * [backup-simplify]: Simplify (+ 0 -1) into -1
1.453 * [backup-simplify]: Simplify (+ 1 0) into 1
1.453 * [backup-simplify]: Simplify (* beta beta) into (pow beta 2)
1.453 * [backup-simplify]: Simplify (* 1 (pow beta 2)) into (pow beta 2)
1.453 * [backup-simplify]: Simplify (* -1 (pow beta 2)) into (* -1 (pow beta 2))
1.453 * [backup-simplify]: Simplify (/ 1 (* -1 (pow beta 2))) into (/ -1 (pow beta 2))
1.453 * [backup-simplify]: Simplify (+ 1.0 -1) into 0
1.453 * [backup-simplify]: Simplify (+ 0 0) into 0
1.454 * [taylor]: Taking taylor expansion of 0 in beta
1.454 * [backup-simplify]: Simplify 0 into 0
1.454 * [taylor]: Taking taylor expansion of 0 in i
1.454 * [backup-simplify]: Simplify 0 into 0
1.454 * [backup-simplify]: Simplify 0 into 0
1.454 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.454 * [backup-simplify]: Simplify (* 2.0 (/ 1 i)) into (/ 2.0 i)
1.454 * [backup-simplify]: Simplify (+ (/ 2.0 i) (/ 1 beta)) into (+ (* 2.0 (/ 1 i)) (/ 1 beta))
1.454 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 (/ 1 i)) (/ 1 beta))) into (+ (* 2.0 (/ 1 i)) (/ 1 beta))
1.455 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.455 * [backup-simplify]: Simplify (* 2.0 (/ 1 i)) into (/ 2.0 i)
1.455 * [backup-simplify]: Simplify (+ (/ 2.0 i) (/ 1 beta)) into (+ (* 2.0 (/ 1 i)) (/ 1 beta))
1.455 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 (/ 1 i)) (/ 1 beta))) into (+ (* 2.0 (/ 1 i)) (/ 1 beta))
1.455 * [backup-simplify]: Simplify (- (+ (* 2.0 (/ 1 i)) (/ 1 beta))) into (- (+ (* 2.0 (/ 1 i)) (/ 1 beta)))
1.455 * [backup-simplify]: Simplify (+ 2.0 (- (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) into (- 2.0 (+ (* 2.0 (/ 1 i)) (/ 1 beta)))
1.456 * [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))))
1.456 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.456 * [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))))
1.457 * [backup-simplify]: Simplify (- (+ (* -1 (/ (- 2.0 (+ (* 4.0 (/ 1 i)) (* 2 (/ 1 beta)))) -1)))) into (- (+ (* 4.0 (/ 1 i)) (* 2 (/ 1 beta))) 2.0)
1.457 * [backup-simplify]: Simplify (+ 0 (- (+ (* 4.0 (/ 1 i)) (* 2 (/ 1 beta))) 2.0)) into (- (+ (* 4.0 (/ 1 i)) (* 2 (/ 1 beta))) 2.0)
1.457 * [backup-simplify]: Simplify (+ (- (+ (* 4.0 (/ 1 i)) (* 2 (/ 1 beta))) 2.0) 0) into (- (+ (* 4.0 (/ 1 i)) (* 2 (/ 1 beta))) 2.0)
1.457 * [taylor]: Taking taylor expansion of (- (+ (* 4.0 (/ 1 i)) (* 2 (/ 1 beta))) 2.0) in beta
1.457 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 i)) (* 2 (/ 1 beta))) in beta
1.457 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 i)) in beta
1.457 * [taylor]: Taking taylor expansion of 4.0 in beta
1.457 * [backup-simplify]: Simplify 4.0 into 4.0
1.457 * [taylor]: Taking taylor expansion of (/ 1 i) in beta
1.457 * [taylor]: Taking taylor expansion of i in beta
1.457 * [backup-simplify]: Simplify i into i
1.457 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
1.457 * [taylor]: Taking taylor expansion of (* 2 (/ 1 beta)) in beta
1.457 * [taylor]: Taking taylor expansion of 2 in beta
1.457 * [backup-simplify]: Simplify 2 into 2
1.457 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
1.457 * [taylor]: Taking taylor expansion of beta in beta
1.457 * [backup-simplify]: Simplify 0 into 0
1.457 * [backup-simplify]: Simplify 1 into 1
1.458 * [backup-simplify]: Simplify (/ 1 1) into 1
1.458 * [taylor]: Taking taylor expansion of 2.0 in beta
1.458 * [backup-simplify]: Simplify 2.0 into 2.0
1.458 * [backup-simplify]: Simplify (* 4.0 (/ 1 i)) into (/ 4.0 i)
1.458 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.459 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0
1.459 * [backup-simplify]: Simplify (+ (/ 4.0 i) 0) into (* 4.0 (/ 1 i))
1.459 * [backup-simplify]: Simplify (- 2.0) into (- 2.0)
1.459 * [backup-simplify]: Simplify (+ (* 4.0 (/ 1 i)) (- 2.0)) into (- (* 4.0 (/ 1 i)) 2.0)
1.459 * [taylor]: Taking taylor expansion of (- (* 4.0 (/ 1 i)) 2.0) in i
1.459 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 i)) in i
1.459 * [taylor]: Taking taylor expansion of 4.0 in i
1.459 * [backup-simplify]: Simplify 4.0 into 4.0
1.459 * [taylor]: Taking taylor expansion of (/ 1 i) in i
1.459 * [taylor]: Taking taylor expansion of i in i
1.459 * [backup-simplify]: Simplify 0 into 0
1.459 * [backup-simplify]: Simplify 1 into 1
1.460 * [backup-simplify]: Simplify (/ 1 1) into 1
1.460 * [taylor]: Taking taylor expansion of 2.0 in i
1.460 * [backup-simplify]: Simplify 2.0 into 2.0
1.460 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.460 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 1)) into 0
1.461 * [backup-simplify]: Simplify (- 2.0) into (- 2.0)
1.461 * [backup-simplify]: Simplify (+ 0 (- 2.0)) into (- 2.0)
1.461 * [backup-simplify]: Simplify (- 2.0) into (- 2.0)
1.462 * [taylor]: Taking taylor expansion of 0 in i
1.462 * [backup-simplify]: Simplify 0 into 0
1.462 * [backup-simplify]: Simplify 0 into 0
1.462 * [backup-simplify]: Simplify 0 into 0
1.462 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.462 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
1.463 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 (/ 1 i))) into 0
1.463 * [backup-simplify]: Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
1.463 * [backup-simplify]: Simplify (+ 0 0) into 0
1.463 * [backup-simplify]: Simplify (+ 0 0) into 0
1.464 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.464 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
1.464 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 (/ 1 i))) into 0
1.464 * [backup-simplify]: Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
1.464 * [backup-simplify]: Simplify (+ 0 0) into 0
1.465 * [backup-simplify]: Simplify (+ 0 0) into 0
1.465 * [backup-simplify]: Simplify (- 0) into 0
1.465 * [backup-simplify]: Simplify (+ 0 0) into 0
1.466 * [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)))))
1.466 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.468 * [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)))))
1.470 * [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))))
1.471 * [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))))
1.471 * [backup-simplify]: Simplify (- (/ -1 (pow beta 2))) into (/ 1 (pow beta 2))
1.473 * [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))))
1.473 * [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
1.473 * [taylor]: Taking taylor expansion of (+ (* 12.0 (/ 1 i)) (* 6.0 (/ 1 beta))) in beta
1.473 * [taylor]: Taking taylor expansion of (* 12.0 (/ 1 i)) in beta
1.473 * [taylor]: Taking taylor expansion of 12.0 in beta
1.473 * [backup-simplify]: Simplify 12.0 into 12.0
1.473 * [taylor]: Taking taylor expansion of (/ 1 i) in beta
1.473 * [taylor]: Taking taylor expansion of i in beta
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 (* 6.0 (/ 1 beta)) in beta
1.473 * [taylor]: Taking taylor expansion of 6.0 in beta
1.473 * [backup-simplify]: Simplify 6.0 into 6.0
1.473 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
1.473 * [taylor]: Taking taylor expansion of beta in beta
1.473 * [backup-simplify]: Simplify 0 into 0
1.473 * [backup-simplify]: Simplify 1 into 1
1.474 * [backup-simplify]: Simplify (/ 1 1) into 1
1.474 * [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
1.474 * [taylor]: Taking taylor expansion of (* 12.0 (/ 1 (pow i 2))) in beta
1.474 * [taylor]: Taking taylor expansion of 12.0 in beta
1.474 * [backup-simplify]: Simplify 12.0 into 12.0
1.474 * [taylor]: Taking taylor expansion of (/ 1 (pow i 2)) in beta
1.474 * [taylor]: Taking taylor expansion of (pow i 2) in beta
1.474 * [taylor]: Taking taylor expansion of i in beta
1.474 * [backup-simplify]: Simplify i into i
1.474 * [backup-simplify]: Simplify (* i i) into (pow i 2)
1.474 * [backup-simplify]: Simplify (/ 1 (pow i 2)) into (/ 1 (pow i 2))
1.474 * [taylor]: Taking taylor expansion of (+ (* 12.0 (/ 1 (* i beta))) (+ (* 2 (/ 1 (pow beta 2))) 4.0)) in beta
1.474 * [taylor]: Taking taylor expansion of (* 12.0 (/ 1 (* i beta))) in beta
1.474 * [taylor]: Taking taylor expansion of 12.0 in beta
1.474 * [backup-simplify]: Simplify 12.0 into 12.0
1.474 * [taylor]: Taking taylor expansion of (/ 1 (* i beta)) in beta
1.474 * [taylor]: Taking taylor expansion of (* i beta) in beta
1.474 * [taylor]: Taking taylor expansion of i in beta
1.474 * [backup-simplify]: Simplify i into i
1.474 * [taylor]: Taking taylor expansion of beta in beta
1.474 * [backup-simplify]: Simplify 0 into 0
1.475 * [backup-simplify]: Simplify 1 into 1
1.475 * [backup-simplify]: Simplify (* i 0) into 0
1.475 * [backup-simplify]: Simplify (+ (* i 1) (* 0 0)) into i
1.475 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
1.475 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (pow beta 2))) 4.0) in beta
1.475 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow beta 2))) in beta
1.475 * [taylor]: Taking taylor expansion of 2 in beta
1.475 * [backup-simplify]: Simplify 2 into 2
1.475 * [taylor]: Taking taylor expansion of (/ 1 (pow beta 2)) in beta
1.475 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
1.475 * [taylor]: Taking taylor expansion of beta in beta
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 * [backup-simplify]: Simplify (/ 1 1) into 1
1.476 * [taylor]: Taking taylor expansion of 4.0 in beta
1.476 * [backup-simplify]: Simplify 4.0 into 4.0
1.476 * [backup-simplify]: Simplify (* 12.0 (/ 1 i)) into (/ 12.0 i)
1.477 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.478 * [backup-simplify]: Simplify (+ (* 6.0 0) (* 0 1)) into 0
1.478 * [backup-simplify]: Simplify (+ (/ 12.0 i) 0) into (* 12.0 (/ 1 i))
1.478 * [backup-simplify]: Simplify (* 12.0 (/ 1 (pow i 2))) into (/ 12.0 (pow i 2))
1.479 * [backup-simplify]: Simplify (+ (* i 0) (+ (* 0 1) (* 0 0))) into 0
1.479 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
1.480 * [backup-simplify]: Simplify (+ (* 12.0 0) (* 0 (/ 1 i))) into 0
1.481 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.482 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.482 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.484 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.485 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0
1.485 * [backup-simplify]: Simplify (+ 0 4.0) into 4.0
1.485 * [backup-simplify]: Simplify (+ 0 4.0) into 4.0
1.486 * [backup-simplify]: Simplify (+ (/ 12.0 (pow i 2)) 4.0) into (+ (* 12.0 (/ 1 (pow i 2))) 4.0)
1.486 * [backup-simplify]: Simplify (- (+ (* 12.0 (/ 1 (pow i 2))) 4.0)) into (- (+ (* 12.0 (/ 1 (pow i 2))) 4.0))
1.486 * [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))
1.486 * [taylor]: Taking taylor expansion of (- (* 12.0 (/ 1 i)) (+ (* 12.0 (/ 1 (pow i 2))) 4.0)) in i
1.486 * [taylor]: Taking taylor expansion of (* 12.0 (/ 1 i)) in i
1.487 * [taylor]: Taking taylor expansion of 12.0 in i
1.487 * [backup-simplify]: Simplify 12.0 into 12.0
1.487 * [taylor]: Taking taylor expansion of (/ 1 i) in i
1.487 * [taylor]: Taking taylor expansion of i in i
1.487 * [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 (+ (* 12.0 (/ 1 (pow i 2))) 4.0) in i
1.487 * [taylor]: Taking taylor expansion of (* 12.0 (/ 1 (pow i 2))) in i
1.487 * [taylor]: Taking taylor expansion of 12.0 in i
1.487 * [backup-simplify]: Simplify 12.0 into 12.0
1.487 * [taylor]: Taking taylor expansion of (/ 1 (pow i 2)) in i
1.487 * [taylor]: Taking taylor expansion of (pow i 2) in i
1.487 * [taylor]: Taking taylor expansion of i in i
1.487 * [backup-simplify]: Simplify 0 into 0
1.487 * [backup-simplify]: Simplify 1 into 1
1.488 * [backup-simplify]: Simplify (* 1 1) into 1
1.488 * [backup-simplify]: Simplify (/ 1 1) into 1
1.488 * [taylor]: Taking taylor expansion of 4.0 in i
1.488 * [backup-simplify]: Simplify 4.0 into 4.0
1.489 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.490 * [backup-simplify]: Simplify (+ (* 12.0 0) (* 0 1)) into 0
1.490 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.491 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.492 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.493 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.497 * [backup-simplify]: Simplify (+ (* 12.0 0) (+ (* 0 0) (* 0 1))) into 0
1.498 * [backup-simplify]: Simplify (+ 0 4.0) into 4.0
1.499 * [backup-simplify]: Simplify (- 4.0) into (- 4.0)
1.499 * [backup-simplify]: Simplify (+ 0 (- 4.0)) into (- 4.0)
1.500 * [backup-simplify]: Simplify (- 4.0) into (- 4.0)
1.500 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
1.501 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 i))) into 0
1.502 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.503 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0
1.503 * [backup-simplify]: Simplify (+ 0 0) into 0
1.503 * [backup-simplify]: Simplify (- 0) into 0
1.504 * [backup-simplify]: Simplify (+ 0 0) into 0
1.504 * [taylor]: Taking taylor expansion of 0 in i
1.504 * [backup-simplify]: Simplify 0 into 0
1.504 * [backup-simplify]: Simplify 0 into 0
1.504 * [taylor]: Taking taylor expansion of 0 in i
1.504 * [backup-simplify]: Simplify 0 into 0
1.504 * [backup-simplify]: Simplify 0 into 0
1.505 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.506 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 1))) into 0
1.507 * [backup-simplify]: Simplify (- 0) into 0
1.507 * [backup-simplify]: Simplify (+ 0 0) into 0
1.507 * [backup-simplify]: Simplify 0 into 0
1.507 * [backup-simplify]: Simplify 0 into 0
1.507 * [backup-simplify]: Simplify 0 into 0
1.508 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.508 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)) (* 0 (/ 0 i)))) into 0
1.509 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 (/ 1 i)))) into 0
1.509 * [backup-simplify]: Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
1.510 * [backup-simplify]: Simplify (+ 0 0) into 0
1.510 * [backup-simplify]: Simplify (+ 0 0) into 0
1.511 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.511 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)) (* 0 (/ 0 i)))) into 0
1.512 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 (/ 1 i)))) into 0
1.512 * [backup-simplify]: Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
1.512 * [backup-simplify]: Simplify (+ 0 0) into 0
1.512 * [backup-simplify]: Simplify (+ 0 0) into 0
1.513 * [backup-simplify]: Simplify (- 0) into 0
1.513 * [backup-simplify]: Simplify (+ 0 0) into 0
1.514 * [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
1.514 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.515 * [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
1.518 * [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))))
1.520 * [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))))
1.520 * [backup-simplify]: Simplify (+ (* beta 0) (* 0 beta)) into 0
1.520 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.520 * [backup-simplify]: Simplify (* 2.0 (/ 1 i)) into (/ 2.0 i)
1.521 * [backup-simplify]: Simplify (+ (/ 2.0 i) (/ 1 beta)) into (+ (* 2.0 (/ 1 i)) (/ 1 beta))
1.521 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 (/ 1 i)) (/ 1 beta))) into (+ (* 2.0 (/ 1 i)) (/ 1 beta))
1.521 * [backup-simplify]: Simplify (+ (* 1 0) (* (+ (* 2.0 (/ 1 i)) (/ 1 beta)) (pow beta 2))) into (+ (* 2.0 (/ (pow beta 2) i)) beta)
1.522 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.522 * [backup-simplify]: Simplify (* 2.0 (/ 1 i)) into (/ 2.0 i)
1.522 * [backup-simplify]: Simplify (+ (/ 2.0 i) (/ 1 beta)) into (+ (* 2.0 (/ 1 i)) (/ 1 beta))
1.522 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 (/ 1 i)) (/ 1 beta))) into (+ (* 2.0 (/ 1 i)) (/ 1 beta))
1.522 * [backup-simplify]: Simplify (- (+ (* 2.0 (/ 1 i)) (/ 1 beta))) into (- (+ (* 2.0 (/ 1 i)) (/ 1 beta)))
1.522 * [backup-simplify]: Simplify (+ 2.0 (- (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) into (- 2.0 (+ (* 2.0 (/ 1 i)) (/ 1 beta)))
1.523 * [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)))
1.523 * [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))))
1.524 * [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)))))
1.526 * [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)))))))
1.526 * [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
1.526 * [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
1.526 * [taylor]: Taking taylor expansion of (* 20.0 (/ 1 (* i (pow beta 2)))) in beta
1.526 * [taylor]: Taking taylor expansion of 20.0 in beta
1.526 * [backup-simplify]: Simplify 20.0 into 20.0
1.526 * [taylor]: Taking taylor expansion of (/ 1 (* i (pow beta 2))) in beta
1.526 * [taylor]: Taking taylor expansion of (* i (pow beta 2)) in beta
1.526 * [taylor]: Taking taylor expansion of i in beta
1.526 * [backup-simplify]: Simplify i into i
1.526 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
1.526 * [taylor]: Taking taylor expansion of beta in beta
1.526 * [backup-simplify]: Simplify 0 into 0
1.526 * [backup-simplify]: Simplify 1 into 1
1.526 * [backup-simplify]: Simplify (* 1 1) into 1
1.527 * [backup-simplify]: Simplify (* i 1) into i
1.527 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
1.527 * [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
1.527 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow beta 3))) in beta
1.527 * [taylor]: Taking taylor expansion of 2 in beta
1.527 * [backup-simplify]: Simplify 2 into 2
1.527 * [taylor]: Taking taylor expansion of (/ 1 (pow beta 3)) in beta
1.527 * [taylor]: Taking taylor expansion of (pow beta 3) in beta
1.527 * [taylor]: Taking taylor expansion of beta in beta
1.527 * [backup-simplify]: Simplify 0 into 0
1.527 * [backup-simplify]: Simplify 1 into 1
1.527 * [backup-simplify]: Simplify (* 1 1) into 1
1.527 * [backup-simplify]: Simplify (* 1 1) into 1
1.528 * [backup-simplify]: Simplify (/ 1 1) into 1
1.528 * [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
1.528 * [taylor]: Taking taylor expansion of (* 48.0 (/ 1 (* (pow i 2) beta))) in beta
1.528 * [taylor]: Taking taylor expansion of 48.0 in beta
1.528 * [backup-simplify]: Simplify 48.0 into 48.0
1.528 * [taylor]: Taking taylor expansion of (/ 1 (* (pow i 2) beta)) in beta
1.528 * [taylor]: Taking taylor expansion of (* (pow i 2) beta) in beta
1.528 * [taylor]: Taking taylor expansion of (pow i 2) in beta
1.528 * [taylor]: Taking taylor expansion of i in beta
1.528 * [backup-simplify]: Simplify i into i
1.528 * [taylor]: Taking taylor expansion of beta in beta
1.528 * [backup-simplify]: Simplify 0 into 0
1.528 * [backup-simplify]: Simplify 1 into 1
1.528 * [backup-simplify]: Simplify (* i i) into (pow i 2)
1.528 * [backup-simplify]: Simplify (* (pow i 2) 0) into 0
1.528 * [backup-simplify]: Simplify (+ (* i 0) (* 0 i)) into 0
1.529 * [backup-simplify]: Simplify (+ (* (pow i 2) 1) (* 0 0)) into (pow i 2)
1.529 * [backup-simplify]: Simplify (/ 1 (pow i 2)) into (/ 1 (pow i 2))
1.529 * [taylor]: Taking taylor expansion of (+ (* 32.0 (/ 1 i)) (+ (* 16.0 (/ 1 beta)) (* 32.0 (/ 1 (pow i 3))))) in beta
1.529 * [taylor]: Taking taylor expansion of (* 32.0 (/ 1 i)) in beta
1.529 * [taylor]: Taking taylor expansion of 32.0 in beta
1.529 * [backup-simplify]: Simplify 32.0 into 32.0
1.529 * [taylor]: Taking taylor expansion of (/ 1 i) in beta
1.529 * [taylor]: Taking taylor expansion of i in beta
1.529 * [backup-simplify]: Simplify i into i
1.529 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
1.529 * [taylor]: Taking taylor expansion of (+ (* 16.0 (/ 1 beta)) (* 32.0 (/ 1 (pow i 3)))) in beta
1.529 * [taylor]: Taking taylor expansion of (* 16.0 (/ 1 beta)) in beta
1.529 * [taylor]: Taking taylor expansion of 16.0 in beta
1.529 * [backup-simplify]: Simplify 16.0 into 16.0
1.529 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
1.529 * [taylor]: Taking taylor expansion of beta in beta
1.529 * [backup-simplify]: Simplify 0 into 0
1.529 * [backup-simplify]: Simplify 1 into 1
1.530 * [backup-simplify]: Simplify (/ 1 1) into 1
1.530 * [taylor]: Taking taylor expansion of (* 32.0 (/ 1 (pow i 3))) in beta
1.530 * [taylor]: Taking taylor expansion of 32.0 in beta
1.530 * [backup-simplify]: Simplify 32.0 into 32.0
1.530 * [taylor]: Taking taylor expansion of (/ 1 (pow i 3)) in beta
1.530 * [taylor]: Taking taylor expansion of (pow i 3) in beta
1.530 * [taylor]: Taking taylor expansion of i in beta
1.530 * [backup-simplify]: Simplify i into i
1.530 * [backup-simplify]: Simplify (* i i) into (pow i 2)
1.530 * [backup-simplify]: Simplify (* i (pow i 2)) into (pow i 3)
1.530 * [backup-simplify]: Simplify (/ 1 (pow i 3)) into (/ 1 (pow i 3))
1.530 * [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
1.530 * [taylor]: Taking taylor expansion of (* 10.0 (/ 1 (pow beta 2))) in beta
1.530 * [taylor]: Taking taylor expansion of 10.0 in beta
1.530 * [backup-simplify]: Simplify 10.0 into 10.0
1.530 * [taylor]: Taking taylor expansion of (/ 1 (pow beta 2)) in beta
1.531 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
1.531 * [taylor]: Taking taylor expansion of beta in beta
1.531 * [backup-simplify]: Simplify 0 into 0
1.531 * [backup-simplify]: Simplify 1 into 1
1.531 * [backup-simplify]: Simplify (* 1 1) into 1
1.531 * [backup-simplify]: Simplify (/ 1 1) into 1
1.531 * [taylor]: Taking taylor expansion of (+ 8.0 (+ (* 48.0 (/ 1 (pow i 2))) (* 48.0 (/ 1 (* i beta))))) in beta
1.531 * [taylor]: Taking taylor expansion of 8.0 in beta
1.531 * [backup-simplify]: Simplify 8.0 into 8.0
1.531 * [taylor]: Taking taylor expansion of (+ (* 48.0 (/ 1 (pow i 2))) (* 48.0 (/ 1 (* i beta)))) in beta
1.531 * [taylor]: Taking taylor expansion of (* 48.0 (/ 1 (pow i 2))) in beta
1.532 * [taylor]: Taking taylor expansion of 48.0 in beta
1.532 * [backup-simplify]: Simplify 48.0 into 48.0
1.532 * [taylor]: Taking taylor expansion of (/ 1 (pow i 2)) in beta
1.532 * [taylor]: Taking taylor expansion of (pow i 2) in beta
1.532 * [taylor]: Taking taylor expansion of i in beta
1.532 * [backup-simplify]: Simplify i into i
1.532 * [backup-simplify]: Simplify (* i i) into (pow i 2)
1.532 * [backup-simplify]: Simplify (/ 1 (pow i 2)) into (/ 1 (pow i 2))
1.532 * [taylor]: Taking taylor expansion of (* 48.0 (/ 1 (* i beta))) in beta
1.532 * [taylor]: Taking taylor expansion of 48.0 in beta
1.532 * [backup-simplify]: Simplify 48.0 into 48.0
1.532 * [taylor]: Taking taylor expansion of (/ 1 (* i beta)) in beta
1.532 * [taylor]: Taking taylor expansion of (* i beta) in beta
1.532 * [taylor]: Taking taylor expansion of i in beta
1.532 * [backup-simplify]: Simplify i into i
1.532 * [taylor]: Taking taylor expansion of beta in beta
1.532 * [backup-simplify]: Simplify 0 into 0
1.532 * [backup-simplify]: Simplify 1 into 1
1.532 * [backup-simplify]: Simplify (* i 0) into 0
1.533 * [backup-simplify]: Simplify (+ (* i 1) (* 0 0)) into i
1.533 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
1.533 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.534 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.534 * [backup-simplify]: Simplify (+ (* i 0) (+ (* 0 0) (* 0 1))) into 0
1.535 * [backup-simplify]: Simplify (+ (* i 0) (* 0 1)) into 0
1.535 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
1.535 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)) (* 0 (/ 0 i)))) into 0
1.535 * [backup-simplify]: Simplify (+ (* 20.0 0) (+ (* 0 0) (* 0 (/ 1 i)))) into 0
1.536 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.537 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.537 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.538 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.538 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.538 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.539 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.539 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.540 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.541 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.541 * [backup-simplify]: Simplify (+ (* i 0) (+ (* 0 0) (* 0 i))) into 0
1.541 * [backup-simplify]: Simplify (+ (* (pow i 2) 0) (+ (* 0 1) (* 0 0))) into 0
1.542 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow i 2)) (/ 0 (pow i 2))))) into 0
1.542 * [backup-simplify]: Simplify (+ (* 48.0 0) (* 0 (/ 1 (pow i 2)))) into 0
1.542 * [backup-simplify]: Simplify (* 32.0 (/ 1 i)) into (/ 32.0 i)
1.542 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.543 * [backup-simplify]: Simplify (+ (* 16.0 0) (* 0 1)) into 0
1.543 * [backup-simplify]: Simplify (* 32.0 (/ 1 (pow i 3))) into (/ 32.0 (pow i 3))
1.543 * [backup-simplify]: Simplify (+ 0 (/ 32.0 (pow i 3))) into (* 32.0 (/ 1 (pow i 3)))
1.544 * [backup-simplify]: Simplify (+ (/ 32.0 i) (* 32.0 (/ 1 (pow i 3)))) into (+ (* 32.0 (/ 1 i)) (* 32.0 (/ 1 (pow i 3))))
1.544 * [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)))
1.544 * [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)))
1.544 * [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)))
1.545 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.545 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.546 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.546 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.547 * [backup-simplify]: Simplify (+ (* 10.0 0) (+ (* 0 0) (* 0 1))) into 0
1.547 * [backup-simplify]: Simplify (* 48.0 (/ 1 (pow i 2))) into (/ 48.0 (pow i 2))
1.547 * [backup-simplify]: Simplify (+ (* i 0) (+ (* 0 1) (* 0 0))) into 0
1.547 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
1.548 * [backup-simplify]: Simplify (+ (* 48.0 0) (* 0 (/ 1 i))) into 0
1.548 * [backup-simplify]: Simplify (+ (/ 48.0 (pow i 2)) 0) into (* 48.0 (/ 1 (pow i 2)))
1.548 * [backup-simplify]: Simplify (+ 8.0 (* 48.0 (/ 1 (pow i 2)))) into (+ (* 48.0 (/ 1 (pow i 2))) 8.0)
1.548 * [backup-simplify]: Simplify (+ 0 (+ (* 48.0 (/ 1 (pow i 2))) 8.0)) into (+ (* 48.0 (/ 1 (pow i 2))) 8.0)
1.548 * [backup-simplify]: Simplify (- (+ (* 48.0 (/ 1 (pow i 2))) 8.0)) into (- (+ (* 48.0 (/ 1 (pow i 2))) 8.0))
1.549 * [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)))))
1.549 * [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
1.549 * [taylor]: Taking taylor expansion of (+ (* 32.0 (/ 1 i)) (* 32.0 (/ 1 (pow i 3)))) in i
1.549 * [taylor]: Taking taylor expansion of (* 32.0 (/ 1 i)) in i
1.549 * [taylor]: Taking taylor expansion of 32.0 in i
1.549 * [backup-simplify]: Simplify 32.0 into 32.0
1.549 * [taylor]: Taking taylor expansion of (/ 1 i) in i
1.549 * [taylor]: Taking taylor expansion of i in i
1.549 * [backup-simplify]: Simplify 0 into 0
1.549 * [backup-simplify]: Simplify 1 into 1
1.549 * [backup-simplify]: Simplify (/ 1 1) into 1
1.549 * [taylor]: Taking taylor expansion of (* 32.0 (/ 1 (pow i 3))) in i
1.549 * [taylor]: Taking taylor expansion of 32.0 in i
1.549 * [backup-simplify]: Simplify 32.0 into 32.0
1.549 * [taylor]: Taking taylor expansion of (/ 1 (pow i 3)) in i
1.549 * [taylor]: Taking taylor expansion of (pow i 3) in i
1.549 * [taylor]: Taking taylor expansion of i in i
1.549 * [backup-simplify]: Simplify 0 into 0
1.549 * [backup-simplify]: Simplify 1 into 1
1.549 * [backup-simplify]: Simplify (* 1 1) into 1
1.550 * [backup-simplify]: Simplify (* 1 1) into 1
1.550 * [backup-simplify]: Simplify (/ 1 1) into 1
1.550 * [taylor]: Taking taylor expansion of (+ 8.0 (* 48.0 (/ 1 (pow i 2)))) in i
1.550 * [taylor]: Taking taylor expansion of 8.0 in i
1.550 * [backup-simplify]: Simplify 8.0 into 8.0
1.550 * [taylor]: Taking taylor expansion of (* 48.0 (/ 1 (pow i 2))) in i
1.550 * [taylor]: Taking taylor expansion of 48.0 in i
1.550 * [backup-simplify]: Simplify 48.0 into 48.0
1.550 * [taylor]: Taking taylor expansion of (/ 1 (pow i 2)) in i
1.550 * [taylor]: Taking taylor expansion of (pow i 2) in i
1.550 * [taylor]: Taking taylor expansion of i in i
1.550 * [backup-simplify]: Simplify 0 into 0
1.550 * [backup-simplify]: Simplify 1 into 1
1.550 * [backup-simplify]: Simplify (* 1 1) into 1
1.551 * [backup-simplify]: Simplify (/ 1 1) into 1
1.551 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.551 * [backup-simplify]: Simplify (+ (* 32.0 0) (* 0 1)) into 0
1.552 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.552 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.553 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.553 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.554 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.554 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.555 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.555 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.556 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.556 * [backup-simplify]: Simplify (+ (* 32.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.557 * [backup-simplify]: Simplify (+ 0 0) into 0
1.557 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.558 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.558 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.559 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.559 * [backup-simplify]: Simplify (+ (* 48.0 0) (+ (* 0 0) (* 0 1))) into 0
1.559 * [backup-simplify]: Simplify (+ 8.0 0) into 8.0
1.560 * [backup-simplify]: Simplify (- 8.0) into (- 8.0)
1.560 * [backup-simplify]: Simplify (+ 0 (- 8.0)) into (- 8.0)
1.560 * [backup-simplify]: Simplify (- 8.0) into (- 8.0)
1.562 * [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))))
1.562 * * * * [progress]: [ 3 / 3 ] generating series at (2 1 1)
1.562 * [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)))))
1.562 * [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
1.562 * [taylor]: Taking taylor expansion of (/ (* (+ alpha beta) (- beta alpha)) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta))))) in i
1.562 * [taylor]: Taking taylor expansion of (* (+ alpha beta) (- beta alpha)) in i
1.562 * [taylor]: Taking taylor expansion of (+ alpha beta) in i
1.562 * [taylor]: Taking taylor expansion of alpha in i
1.562 * [backup-simplify]: Simplify alpha into alpha
1.562 * [taylor]: Taking taylor expansion of beta in i
1.562 * [backup-simplify]: Simplify beta into beta
1.562 * [taylor]: Taking taylor expansion of (- beta alpha) in i
1.562 * [taylor]: Taking taylor expansion of beta in i
1.562 * [backup-simplify]: Simplify beta into beta
1.562 * [taylor]: Taking taylor expansion of alpha in i
1.562 * [backup-simplify]: Simplify alpha into alpha
1.562 * [taylor]: Taking taylor expansion of (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta)))) in i
1.562 * [taylor]: Taking taylor expansion of (+ alpha (+ (* 2.0 i) beta)) in i
1.562 * [taylor]: Taking taylor expansion of alpha in i
1.562 * [backup-simplify]: Simplify alpha into alpha
1.562 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in i
1.562 * [taylor]: Taking taylor expansion of (* 2.0 i) in i
1.562 * [taylor]: Taking taylor expansion of 2.0 in i
1.562 * [backup-simplify]: Simplify 2.0 into 2.0
1.562 * [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 * [taylor]: Taking taylor expansion of beta in i
1.562 * [backup-simplify]: Simplify beta into beta
1.562 * [taylor]: Taking taylor expansion of (+ alpha (+ 2.0 (+ (* 2.0 i) beta))) in i
1.563 * [taylor]: Taking taylor expansion of alpha in i
1.563 * [backup-simplify]: Simplify alpha into alpha
1.563 * [taylor]: Taking taylor expansion of (+ 2.0 (+ (* 2.0 i) beta)) in i
1.563 * [taylor]: Taking taylor expansion of 2.0 in i
1.563 * [backup-simplify]: Simplify 2.0 into 2.0
1.563 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in i
1.563 * [taylor]: Taking taylor expansion of (* 2.0 i) in i
1.563 * [taylor]: Taking taylor expansion of 2.0 in i
1.563 * [backup-simplify]: Simplify 2.0 into 2.0
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 * [taylor]: Taking taylor expansion of beta in i
1.563 * [backup-simplify]: Simplify beta into beta
1.563 * [backup-simplify]: Simplify (+ alpha beta) into (+ alpha beta)
1.563 * [backup-simplify]: Simplify (- alpha) into (- alpha)
1.563 * [backup-simplify]: Simplify (+ beta (- alpha)) into (- beta alpha)
1.563 * [backup-simplify]: Simplify (* (+ alpha beta) (- beta alpha)) into (* (+ alpha beta) (- beta alpha))
1.563 * [backup-simplify]: Simplify (* 2.0 0) into 0
1.563 * [backup-simplify]: Simplify (+ 0 beta) into beta
1.563 * [backup-simplify]: Simplify (+ alpha beta) into (+ alpha beta)
1.564 * [backup-simplify]: Simplify (* 2.0 0) into 0
1.564 * [backup-simplify]: Simplify (+ 0 beta) into beta
1.564 * [backup-simplify]: Simplify (+ 2.0 beta) into (+ beta 2.0)
1.564 * [backup-simplify]: Simplify (+ alpha (+ beta 2.0)) into (+ alpha (+ beta 2.0))
1.564 * [backup-simplify]: Simplify (* (+ alpha beta) (+ alpha (+ beta 2.0))) into (* (+ alpha beta) (+ alpha (+ beta 2.0)))
1.564 * [backup-simplify]: Simplify (/ (* (+ alpha beta) (- beta alpha)) (* (+ alpha beta) (+ alpha (+ beta 2.0)))) into (/ (- beta alpha) (+ alpha (+ beta 2.0)))
1.564 * [taylor]: Taking taylor expansion of (/ (* (+ alpha beta) (- beta alpha)) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta))))) in beta
1.564 * [taylor]: Taking taylor expansion of (* (+ alpha beta) (- beta alpha)) in beta
1.564 * [taylor]: Taking taylor expansion of (+ alpha beta) in beta
1.564 * [taylor]: Taking taylor expansion of alpha in beta
1.564 * [backup-simplify]: Simplify alpha into alpha
1.564 * [taylor]: Taking taylor expansion of beta in beta
1.564 * [backup-simplify]: Simplify 0 into 0
1.564 * [backup-simplify]: Simplify 1 into 1
1.564 * [taylor]: Taking taylor expansion of (- beta alpha) in beta
1.564 * [taylor]: Taking taylor expansion of beta in beta
1.564 * [backup-simplify]: Simplify 0 into 0
1.565 * [backup-simplify]: Simplify 1 into 1
1.565 * [taylor]: Taking taylor expansion of alpha in beta
1.565 * [backup-simplify]: Simplify alpha into alpha
1.565 * [taylor]: Taking taylor expansion of (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta)))) in beta
1.565 * [taylor]: Taking taylor expansion of (+ alpha (+ (* 2.0 i) beta)) in beta
1.565 * [taylor]: Taking taylor expansion of alpha in beta
1.565 * [backup-simplify]: Simplify alpha into alpha
1.565 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
1.565 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
1.565 * [taylor]: Taking taylor expansion of 2.0 in beta
1.565 * [backup-simplify]: Simplify 2.0 into 2.0
1.565 * [taylor]: Taking taylor expansion of i in beta
1.565 * [backup-simplify]: Simplify i into i
1.565 * [taylor]: Taking taylor expansion of beta in beta
1.565 * [backup-simplify]: Simplify 0 into 0
1.565 * [backup-simplify]: Simplify 1 into 1
1.565 * [taylor]: Taking taylor expansion of (+ alpha (+ 2.0 (+ (* 2.0 i) beta))) in beta
1.565 * [taylor]: Taking taylor expansion of alpha in beta
1.565 * [backup-simplify]: Simplify alpha into alpha
1.565 * [taylor]: Taking taylor expansion of (+ 2.0 (+ (* 2.0 i) beta)) in beta
1.565 * [taylor]: Taking taylor expansion of 2.0 in beta
1.565 * [backup-simplify]: Simplify 2.0 into 2.0
1.565 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
1.565 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
1.565 * [taylor]: Taking taylor expansion of 2.0 in beta
1.565 * [backup-simplify]: Simplify 2.0 into 2.0
1.565 * [taylor]: Taking taylor expansion of i in beta
1.565 * [backup-simplify]: Simplify i into i
1.565 * [taylor]: Taking taylor expansion of beta in beta
1.565 * [backup-simplify]: Simplify 0 into 0
1.565 * [backup-simplify]: Simplify 1 into 1
1.565 * [backup-simplify]: Simplify (+ alpha 0) into alpha
1.565 * [backup-simplify]: Simplify (- alpha) into (- alpha)
1.565 * [backup-simplify]: Simplify (+ 0 (- alpha)) into (- alpha)
1.566 * [backup-simplify]: Simplify (* alpha (- alpha)) into (* -1 (pow alpha 2))
1.566 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
1.566 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
1.566 * [backup-simplify]: Simplify (+ alpha (* 2.0 i)) into (+ alpha (* 2.0 i))
1.566 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
1.566 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
1.566 * [backup-simplify]: Simplify (+ 2.0 (* 2.0 i)) into (+ (* 2.0 i) 2.0)
1.566 * [backup-simplify]: Simplify (+ alpha (+ (* 2.0 i) 2.0)) into (+ alpha (+ (* 2.0 i) 2.0))
1.566 * [backup-simplify]: Simplify (* (+ alpha (* 2.0 i)) (+ alpha (+ (* 2.0 i) 2.0))) into (* (+ alpha (+ (* 2.0 i) 2.0)) (+ alpha (* 2.0 i)))
1.567 * [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)))))
1.567 * [taylor]: Taking taylor expansion of (/ (* (+ alpha beta) (- beta alpha)) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta))))) in alpha
1.567 * [taylor]: Taking taylor expansion of (* (+ alpha beta) (- beta alpha)) in alpha
1.567 * [taylor]: Taking taylor expansion of (+ alpha beta) in alpha
1.567 * [taylor]: Taking taylor expansion of alpha in alpha
1.567 * [backup-simplify]: Simplify 0 into 0
1.567 * [backup-simplify]: Simplify 1 into 1
1.567 * [taylor]: Taking taylor expansion of beta in alpha
1.567 * [backup-simplify]: Simplify beta into beta
1.567 * [taylor]: Taking taylor expansion of (- beta alpha) in alpha
1.567 * [taylor]: Taking taylor expansion of beta in alpha
1.567 * [backup-simplify]: Simplify beta into beta
1.567 * [taylor]: Taking taylor expansion of alpha in alpha
1.567 * [backup-simplify]: Simplify 0 into 0
1.567 * [backup-simplify]: Simplify 1 into 1
1.567 * [taylor]: Taking taylor expansion of (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta)))) in alpha
1.567 * [taylor]: Taking taylor expansion of (+ alpha (+ (* 2.0 i) beta)) in alpha
1.567 * [taylor]: Taking taylor expansion of alpha in alpha
1.567 * [backup-simplify]: Simplify 0 into 0
1.567 * [backup-simplify]: Simplify 1 into 1
1.567 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in alpha
1.567 * [taylor]: Taking taylor expansion of (* 2.0 i) in alpha
1.567 * [taylor]: Taking taylor expansion of 2.0 in alpha
1.567 * [backup-simplify]: Simplify 2.0 into 2.0
1.567 * [taylor]: Taking taylor expansion of i in alpha
1.567 * [backup-simplify]: Simplify i into i
1.567 * [taylor]: Taking taylor expansion of beta in alpha
1.567 * [backup-simplify]: Simplify beta into beta
1.567 * [taylor]: Taking taylor expansion of (+ alpha (+ 2.0 (+ (* 2.0 i) beta))) in alpha
1.567 * [taylor]: Taking taylor expansion of alpha in alpha
1.567 * [backup-simplify]: Simplify 0 into 0
1.567 * [backup-simplify]: Simplify 1 into 1
1.568 * [taylor]: Taking taylor expansion of (+ 2.0 (+ (* 2.0 i) beta)) in alpha
1.568 * [taylor]: Taking taylor expansion of 2.0 in alpha
1.568 * [backup-simplify]: Simplify 2.0 into 2.0
1.568 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in alpha
1.568 * [taylor]: Taking taylor expansion of (* 2.0 i) in alpha
1.568 * [taylor]: Taking taylor expansion of 2.0 in alpha
1.568 * [backup-simplify]: Simplify 2.0 into 2.0
1.568 * [taylor]: Taking taylor expansion of i in alpha
1.568 * [backup-simplify]: Simplify i into i
1.568 * [taylor]: Taking taylor expansion of beta in alpha
1.568 * [backup-simplify]: Simplify beta into beta
1.568 * [backup-simplify]: Simplify (+ 0 beta) into beta
1.568 * [backup-simplify]: Simplify (- 0) into 0
1.568 * [backup-simplify]: Simplify (+ beta 0) into beta
1.568 * [backup-simplify]: Simplify (* beta beta) into (pow beta 2)
1.568 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
1.569 * [backup-simplify]: Simplify (+ (* 2.0 i) beta) into (+ (* 2.0 i) beta)
1.569 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 i) beta)) into (+ (* 2.0 i) beta)
1.569 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
1.569 * [backup-simplify]: Simplify (+ (* 2.0 i) beta) into (+ (* 2.0 i) beta)
1.569 * [backup-simplify]: Simplify (+ 2.0 (+ (* 2.0 i) beta)) into (+ (* 2.0 i) (+ beta 2.0))
1.569 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 i) (+ beta 2.0))) into (+ (* 2.0 i) (+ beta 2.0))
1.569 * [backup-simplify]: Simplify (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0))) into (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))
1.570 * [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))))
1.570 * [taylor]: Taking taylor expansion of (/ (* (+ alpha beta) (- beta alpha)) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta))))) in alpha
1.570 * [taylor]: Taking taylor expansion of (* (+ alpha beta) (- beta alpha)) in alpha
1.570 * [taylor]: Taking taylor expansion of (+ alpha beta) in alpha
1.570 * [taylor]: Taking taylor expansion of alpha in alpha
1.570 * [backup-simplify]: Simplify 0 into 0
1.570 * [backup-simplify]: Simplify 1 into 1
1.570 * [taylor]: Taking taylor expansion of beta in alpha
1.570 * [backup-simplify]: Simplify beta into beta
1.570 * [taylor]: Taking taylor expansion of (- beta alpha) in alpha
1.570 * [taylor]: Taking taylor expansion of beta in alpha
1.570 * [backup-simplify]: Simplify beta into beta
1.570 * [taylor]: Taking taylor expansion of alpha in alpha
1.570 * [backup-simplify]: Simplify 0 into 0
1.570 * [backup-simplify]: Simplify 1 into 1
1.570 * [taylor]: Taking taylor expansion of (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta)))) in alpha
1.570 * [taylor]: Taking taylor expansion of (+ alpha (+ (* 2.0 i) beta)) in alpha
1.570 * [taylor]: Taking taylor expansion of alpha in alpha
1.570 * [backup-simplify]: Simplify 0 into 0
1.570 * [backup-simplify]: Simplify 1 into 1
1.570 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in alpha
1.570 * [taylor]: Taking taylor expansion of (* 2.0 i) in alpha
1.570 * [taylor]: Taking taylor expansion of 2.0 in alpha
1.570 * [backup-simplify]: Simplify 2.0 into 2.0
1.570 * [taylor]: Taking taylor expansion of i in alpha
1.570 * [backup-simplify]: Simplify i into i
1.570 * [taylor]: Taking taylor expansion of beta in alpha
1.570 * [backup-simplify]: Simplify beta into beta
1.570 * [taylor]: Taking taylor expansion of (+ alpha (+ 2.0 (+ (* 2.0 i) beta))) in alpha
1.570 * [taylor]: Taking taylor expansion of alpha in alpha
1.570 * [backup-simplify]: Simplify 0 into 0
1.570 * [backup-simplify]: Simplify 1 into 1
1.570 * [taylor]: Taking taylor expansion of (+ 2.0 (+ (* 2.0 i) beta)) in alpha
1.570 * [taylor]: Taking taylor expansion of 2.0 in alpha
1.571 * [backup-simplify]: Simplify 2.0 into 2.0
1.571 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in alpha
1.571 * [taylor]: Taking taylor expansion of (* 2.0 i) in alpha
1.571 * [taylor]: Taking taylor expansion of 2.0 in alpha
1.571 * [backup-simplify]: Simplify 2.0 into 2.0
1.571 * [taylor]: Taking taylor expansion of i in alpha
1.571 * [backup-simplify]: Simplify i into i
1.571 * [taylor]: Taking taylor expansion of beta in alpha
1.571 * [backup-simplify]: Simplify beta into beta
1.571 * [backup-simplify]: Simplify (+ 0 beta) into beta
1.571 * [backup-simplify]: Simplify (- 0) into 0
1.571 * [backup-simplify]: Simplify (+ beta 0) into beta
1.571 * [backup-simplify]: Simplify (* beta beta) into (pow beta 2)
1.571 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
1.571 * [backup-simplify]: Simplify (+ (* 2.0 i) beta) into (+ (* 2.0 i) beta)
1.572 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 i) beta)) into (+ (* 2.0 i) beta)
1.572 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
1.572 * [backup-simplify]: Simplify (+ (* 2.0 i) beta) into (+ (* 2.0 i) beta)
1.572 * [backup-simplify]: Simplify (+ 2.0 (+ (* 2.0 i) beta)) into (+ (* 2.0 i) (+ beta 2.0))
1.572 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 i) (+ beta 2.0))) into (+ (* 2.0 i) (+ beta 2.0))
1.572 * [backup-simplify]: Simplify (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0))) into (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))
1.572 * [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))))
1.572 * [taylor]: Taking taylor expansion of (/ (pow beta 2) (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))) in beta
1.572 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
1.572 * [taylor]: Taking taylor expansion of beta in beta
1.572 * [backup-simplify]: Simplify 0 into 0
1.572 * [backup-simplify]: Simplify 1 into 1
1.572 * [taylor]: Taking taylor expansion of (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0))) in beta
1.572 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
1.572 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
1.572 * [taylor]: Taking taylor expansion of 2.0 in beta
1.572 * [backup-simplify]: Simplify 2.0 into 2.0
1.572 * [taylor]: Taking taylor expansion of i in beta
1.572 * [backup-simplify]: Simplify i into i
1.572 * [taylor]: Taking taylor expansion of beta in beta
1.572 * [backup-simplify]: Simplify 0 into 0
1.572 * [backup-simplify]: Simplify 1 into 1
1.572 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
1.572 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
1.572 * [taylor]: Taking taylor expansion of 2.0 in beta
1.573 * [backup-simplify]: Simplify 2.0 into 2.0
1.573 * [taylor]: Taking taylor expansion of i in beta
1.573 * [backup-simplify]: Simplify i into i
1.573 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
1.573 * [taylor]: Taking taylor expansion of beta in beta
1.573 * [backup-simplify]: Simplify 0 into 0
1.573 * [backup-simplify]: Simplify 1 into 1
1.573 * [taylor]: Taking taylor expansion of 2.0 in beta
1.573 * [backup-simplify]: Simplify 2.0 into 2.0
1.573 * [backup-simplify]: Simplify (* 1 1) into 1
1.573 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
1.573 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
1.573 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
1.573 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
1.573 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
1.574 * [backup-simplify]: Simplify (* (* 2.0 i) (+ (* 2.0 i) 2.0)) into (* 2.0 (* i (+ (* 2.0 i) 2.0)))
1.574 * [backup-simplify]: Simplify (/ 1 (* 2.0 (* i (+ (* 2.0 i) 2.0)))) into (/ 0.5 (* i (+ (* 2.0 i) 2.0)))
1.574 * [backup-simplify]: Simplify (- 1) into -1
1.574 * [backup-simplify]: Simplify (+ 0 -1) into -1
1.574 * [backup-simplify]: Simplify (+ 1 0) into 1
1.575 * [backup-simplify]: Simplify (+ (* beta -1) (* 1 beta)) into 0
1.575 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 i)) into 0
1.575 * [backup-simplify]: Simplify (+ 0 0) into 0
1.575 * [backup-simplify]: Simplify (+ 0 0) into 0
1.576 * [backup-simplify]: Simplify (+ 1 0) into 1
1.576 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 i)) into 0
1.576 * [backup-simplify]: Simplify (+ 0 0) into 0
1.576 * [backup-simplify]: Simplify (+ 1 0) into 1
1.576 * [backup-simplify]: Simplify (+ (* (+ (* 2.0 i) beta) 1) (* 1 (+ (* 2.0 i) (+ beta 2.0)))) into (+ 2.0 (+ (* 4.0 i) (* 2 beta)))
1.577 * [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)))))))
1.577 * [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
1.578 * [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
1.578 * [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
1.578 * [taylor]: Taking taylor expansion of 2.0 in beta
1.578 * [backup-simplify]: Simplify 2.0 into 2.0
1.578 * [taylor]: Taking taylor expansion of (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2))) in beta
1.578 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
1.578 * [taylor]: Taking taylor expansion of beta in beta
1.578 * [backup-simplify]: Simplify 0 into 0
1.578 * [backup-simplify]: Simplify 1 into 1
1.578 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)) in beta
1.578 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 2) in beta
1.578 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
1.578 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
1.578 * [taylor]: Taking taylor expansion of 2.0 in beta
1.578 * [backup-simplify]: Simplify 2.0 into 2.0
1.578 * [taylor]: Taking taylor expansion of i in beta
1.578 * [backup-simplify]: Simplify i into i
1.578 * [taylor]: Taking taylor expansion of beta in beta
1.578 * [backup-simplify]: Simplify 0 into 0
1.578 * [backup-simplify]: Simplify 1 into 1
1.578 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
1.578 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
1.578 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 2) in beta
1.578 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
1.578 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
1.578 * [taylor]: Taking taylor expansion of 2.0 in beta
1.578 * [backup-simplify]: Simplify 2.0 into 2.0
1.578 * [taylor]: Taking taylor expansion of i in beta
1.578 * [backup-simplify]: Simplify i into i
1.578 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
1.578 * [taylor]: Taking taylor expansion of beta in beta
1.578 * [backup-simplify]: Simplify 0 into 0
1.578 * [backup-simplify]: Simplify 1 into 1
1.578 * [taylor]: Taking taylor expansion of 2.0 in beta
1.578 * [backup-simplify]: Simplify 2.0 into 2.0
1.578 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
1.579 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
1.579 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
1.579 * [backup-simplify]: Simplify (* 1 1) into 1
1.579 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
1.579 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
1.579 * [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)))
1.579 * [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)))
1.580 * [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
1.580 * [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
1.580 * [taylor]: Taking taylor expansion of 4.0 in beta
1.580 * [backup-simplify]: Simplify 4.0 into 4.0
1.580 * [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
1.580 * [taylor]: Taking taylor expansion of (* i (pow beta 2)) in beta
1.580 * [taylor]: Taking taylor expansion of i in beta
1.580 * [backup-simplify]: Simplify i into i
1.580 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
1.580 * [taylor]: Taking taylor expansion of beta in beta
1.580 * [backup-simplify]: Simplify 0 into 0
1.580 * [backup-simplify]: Simplify 1 into 1
1.580 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)) in beta
1.580 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 2) in beta
1.580 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
1.580 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
1.580 * [taylor]: Taking taylor expansion of 2.0 in beta
1.580 * [backup-simplify]: Simplify 2.0 into 2.0
1.580 * [taylor]: Taking taylor expansion of i in beta
1.580 * [backup-simplify]: Simplify i into i
1.580 * [taylor]: Taking taylor expansion of beta in beta
1.580 * [backup-simplify]: Simplify 0 into 0
1.580 * [backup-simplify]: Simplify 1 into 1
1.580 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
1.580 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
1.580 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 2) in beta
1.580 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
1.580 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
1.580 * [taylor]: Taking taylor expansion of 2.0 in beta
1.580 * [backup-simplify]: Simplify 2.0 into 2.0
1.580 * [taylor]: Taking taylor expansion of i in beta
1.580 * [backup-simplify]: Simplify i into i
1.580 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
1.580 * [taylor]: Taking taylor expansion of beta in beta
1.580 * [backup-simplify]: Simplify 0 into 0
1.580 * [backup-simplify]: Simplify 1 into 1
1.580 * [taylor]: Taking taylor expansion of 2.0 in beta
1.580 * [backup-simplify]: Simplify 2.0 into 2.0
1.580 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
1.581 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
1.581 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
1.581 * [backup-simplify]: Simplify (* 1 1) into 1
1.581 * [backup-simplify]: Simplify (* i 1) into i
1.581 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
1.581 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
1.581 * [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)))
1.581 * [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)))
1.581 * [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
1.582 * [taylor]: Taking taylor expansion of 2 in beta
1.582 * [backup-simplify]: Simplify 2 into 2
1.582 * [taylor]: Taking taylor expansion of (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2))) in beta
1.582 * [taylor]: Taking taylor expansion of (pow beta 3) in beta
1.582 * [taylor]: Taking taylor expansion of beta in beta
1.582 * [backup-simplify]: Simplify 0 into 0
1.582 * [backup-simplify]: Simplify 1 into 1
1.582 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)) in beta
1.582 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 2) in beta
1.582 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
1.582 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
1.582 * [taylor]: Taking taylor expansion of 2.0 in beta
1.582 * [backup-simplify]: Simplify 2.0 into 2.0
1.582 * [taylor]: Taking taylor expansion of i in beta
1.582 * [backup-simplify]: Simplify i into i
1.582 * [taylor]: Taking taylor expansion of beta in beta
1.582 * [backup-simplify]: Simplify 0 into 0
1.582 * [backup-simplify]: Simplify 1 into 1
1.582 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
1.582 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
1.582 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 2) in beta
1.582 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
1.582 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
1.582 * [taylor]: Taking taylor expansion of 2.0 in beta
1.582 * [backup-simplify]: Simplify 2.0 into 2.0
1.582 * [taylor]: Taking taylor expansion of i in beta
1.582 * [backup-simplify]: Simplify i into i
1.582 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
1.582 * [taylor]: Taking taylor expansion of beta in beta
1.582 * [backup-simplify]: Simplify 0 into 0
1.582 * [backup-simplify]: Simplify 1 into 1
1.582 * [taylor]: Taking taylor expansion of 2.0 in beta
1.582 * [backup-simplify]: Simplify 2.0 into 2.0
1.582 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
1.582 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
1.582 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
1.583 * [backup-simplify]: Simplify (* 1 1) into 1
1.583 * [backup-simplify]: Simplify (* 1 1) into 1
1.583 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
1.583 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
1.583 * [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)))
1.584 * [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)))
1.584 * [backup-simplify]: Simplify (- 0) into 0
1.584 * [backup-simplify]: Simplify (+ 0 0) into 0
1.584 * [backup-simplify]: Simplify (+ 0 0) into 0
1.585 * [backup-simplify]: Simplify (+ (* beta 0) (+ (* 1 -1) (* 0 beta))) into (- 1)
1.585 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 i))) into 0
1.585 * [backup-simplify]: Simplify (+ 0 0) into 0
1.586 * [backup-simplify]: Simplify (+ 0 0) into 0
1.586 * [backup-simplify]: Simplify (+ 0 0) into 0
1.586 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 i))) into 0
1.587 * [backup-simplify]: Simplify (+ 0 0) into 0
1.587 * [backup-simplify]: Simplify (+ 0 0) into 0
1.587 * [backup-simplify]: Simplify (+ (* (+ (* 2.0 i) beta) 0) (+ (* 1 1) (* 0 (+ (* 2.0 i) (+ beta 2.0))))) into 1
1.591 * [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)))))
1.591 * [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
1.592 * [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
1.592 * [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
1.592 * [taylor]: Taking taylor expansion of 8.0 in beta
1.592 * [backup-simplify]: Simplify 8.0 into 8.0
1.592 * [taylor]: Taking taylor expansion of (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3))) in beta
1.592 * [taylor]: Taking taylor expansion of (pow beta 3) in beta
1.592 * [taylor]: Taking taylor expansion of beta in beta
1.592 * [backup-simplify]: Simplify 0 into 0
1.592 * [backup-simplify]: Simplify 1 into 1
1.592 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)) in beta
1.592 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 3) in beta
1.592 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
1.592 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
1.592 * [taylor]: Taking taylor expansion of 2.0 in beta
1.592 * [backup-simplify]: Simplify 2.0 into 2.0
1.592 * [taylor]: Taking taylor expansion of i in beta
1.592 * [backup-simplify]: Simplify i into i
1.592 * [taylor]: Taking taylor expansion of beta in beta
1.592 * [backup-simplify]: Simplify 0 into 0
1.592 * [backup-simplify]: Simplify 1 into 1
1.592 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
1.592 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
1.592 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 3) in beta
1.592 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
1.592 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
1.592 * [taylor]: Taking taylor expansion of 2.0 in beta
1.592 * [backup-simplify]: Simplify 2.0 into 2.0
1.592 * [taylor]: Taking taylor expansion of i in beta
1.592 * [backup-simplify]: Simplify i into i
1.592 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
1.592 * [taylor]: Taking taylor expansion of beta in beta
1.592 * [backup-simplify]: Simplify 0 into 0
1.592 * [backup-simplify]: Simplify 1 into 1
1.592 * [taylor]: Taking taylor expansion of 2.0 in beta
1.592 * [backup-simplify]: Simplify 2.0 into 2.0
1.592 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
1.593 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
1.593 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
1.593 * [backup-simplify]: Simplify (* 1 1) into 1
1.593 * [backup-simplify]: Simplify (* 1 1) into 1
1.594 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
1.594 * [backup-simplify]: Simplify (* (* 2.0 i) (* 4.0 (pow i 2))) into (* 8.0 (pow i 3))
1.594 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
1.594 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (pow (+ (* 2.0 i) 2.0) 2)) into (pow (+ (* 2.0 i) 2.0) 3)
1.594 * [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)))
1.594 * [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)))
1.594 * [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
1.594 * [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
1.594 * [taylor]: Taking taylor expansion of 16.0 in beta
1.594 * [backup-simplify]: Simplify 16.0 into 16.0
1.594 * [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
1.594 * [taylor]: Taking taylor expansion of (* (pow i 2) (pow beta 2)) in beta
1.595 * [taylor]: Taking taylor expansion of (pow i 2) in beta
1.595 * [taylor]: Taking taylor expansion of i in beta
1.595 * [backup-simplify]: Simplify i into i
1.595 * [taylor]: Taking taylor expansion of (pow beta 2) 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 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)) in beta
1.595 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 3) in beta
1.595 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
1.595 * [taylor]: Taking taylor expansion of (* 2.0 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 i in beta
1.595 * [backup-simplify]: Simplify i into i
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 (* 2.0 i) into (* 2.0 i)
1.595 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
1.595 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 3) in beta
1.595 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
1.595 * [taylor]: Taking taylor expansion of (* 2.0 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 i in beta
1.595 * [backup-simplify]: Simplify i into i
1.595 * [taylor]: Taking taylor expansion of (+ beta 2.0) 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 * [taylor]: Taking taylor expansion of 2.0 in beta
1.595 * [backup-simplify]: Simplify 2.0 into 2.0
1.595 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
1.595 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
1.595 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
1.596 * [backup-simplify]: Simplify (* i i) into (pow i 2)
1.596 * [backup-simplify]: Simplify (* 1 1) into 1
1.596 * [backup-simplify]: Simplify (* (pow i 2) 1) into (pow i 2)
1.596 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
1.596 * [backup-simplify]: Simplify (* (* 2.0 i) (* 4.0 (pow i 2))) into (* 8.0 (pow i 3))
1.596 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
1.596 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (pow (+ (* 2.0 i) 2.0) 2)) into (pow (+ (* 2.0 i) 2.0) 3)
1.597 * [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)))
1.597 * [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)))
1.597 * [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
1.597 * [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
1.597 * [taylor]: Taking taylor expansion of 4 in beta
1.597 * [backup-simplify]: Simplify 4 into 4
1.597 * [taylor]: Taking taylor expansion of (/ (pow beta 4) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3))) in beta
1.597 * [taylor]: Taking taylor expansion of (pow beta 4) in beta
1.597 * [taylor]: Taking taylor expansion of beta in beta
1.597 * [backup-simplify]: Simplify 0 into 0
1.597 * [backup-simplify]: Simplify 1 into 1
1.597 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)) in beta
1.597 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 3) in beta
1.597 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
1.597 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
1.597 * [taylor]: Taking taylor expansion of 2.0 in beta
1.597 * [backup-simplify]: Simplify 2.0 into 2.0
1.597 * [taylor]: Taking taylor expansion of i in beta
1.597 * [backup-simplify]: Simplify i into i
1.597 * [taylor]: Taking taylor expansion of beta in beta
1.597 * [backup-simplify]: Simplify 0 into 0
1.597 * [backup-simplify]: Simplify 1 into 1
1.597 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
1.597 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
1.597 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 3) in beta
1.597 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
1.597 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
1.597 * [taylor]: Taking taylor expansion of 2.0 in beta
1.597 * [backup-simplify]: Simplify 2.0 into 2.0
1.597 * [taylor]: Taking taylor expansion of i in beta
1.597 * [backup-simplify]: Simplify i into i
1.597 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
1.597 * [taylor]: Taking taylor expansion of beta in beta
1.597 * [backup-simplify]: Simplify 0 into 0
1.597 * [backup-simplify]: Simplify 1 into 1
1.597 * [taylor]: Taking taylor expansion of 2.0 in beta
1.597 * [backup-simplify]: Simplify 2.0 into 2.0
1.598 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
1.598 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
1.598 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
1.598 * [backup-simplify]: Simplify (* 1 1) into 1
1.598 * [backup-simplify]: Simplify (* 1 1) into 1
1.599 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
1.599 * [backup-simplify]: Simplify (* (* 2.0 i) (* 4.0 (pow i 2))) into (* 8.0 (pow i 3))
1.599 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
1.599 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (pow (+ (* 2.0 i) 2.0) 2)) into (pow (+ (* 2.0 i) 2.0) 3)
1.599 * [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)))
1.599 * [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)))
1.599 * [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
1.599 * [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
1.599 * [taylor]: Taking taylor expansion of 16.0 in beta
1.599 * [backup-simplify]: Simplify 16.0 into 16.0
1.599 * [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
1.600 * [taylor]: Taking taylor expansion of (* i (pow beta 3)) in beta
1.600 * [taylor]: Taking taylor expansion of i in beta
1.600 * [backup-simplify]: Simplify i into i
1.600 * [taylor]: Taking taylor expansion of (pow beta 3) 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 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)) in beta
1.600 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 3) in beta
1.600 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
1.600 * [taylor]: Taking taylor expansion of (* 2.0 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 i in beta
1.600 * [backup-simplify]: Simplify i into i
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 (* 2.0 i) into (* 2.0 i)
1.600 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
1.600 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 3) in beta
1.600 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
1.600 * [taylor]: Taking taylor expansion of (* 2.0 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 i in beta
1.600 * [backup-simplify]: Simplify i into i
1.600 * [taylor]: Taking taylor expansion of (+ beta 2.0) 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 * [taylor]: Taking taylor expansion of 2.0 in beta
1.600 * [backup-simplify]: Simplify 2.0 into 2.0
1.600 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
1.600 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
1.601 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
1.601 * [backup-simplify]: Simplify (* 1 1) into 1
1.601 * [backup-simplify]: Simplify (* 1 1) into 1
1.601 * [backup-simplify]: Simplify (* i 1) into i
1.601 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
1.601 * [backup-simplify]: Simplify (* (* 2.0 i) (* 4.0 (pow i 2))) into (* 8.0 (pow i 3))
1.601 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
1.602 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (pow (+ (* 2.0 i) 2.0) 2)) into (pow (+ (* 2.0 i) 2.0) 3)
1.602 * [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)))
1.602 * [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)))
1.602 * [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
1.602 * [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
1.602 * [taylor]: Taking taylor expansion of 16.0 in beta
1.602 * [backup-simplify]: Simplify 16.0 into 16.0
1.602 * [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
1.602 * [taylor]: Taking taylor expansion of (* i (pow beta 2)) in beta
1.602 * [taylor]: Taking taylor expansion of i in beta
1.602 * [backup-simplify]: Simplify i into i
1.602 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
1.602 * [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 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)) in beta
1.602 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 3) in beta
1.602 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
1.602 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
1.602 * [taylor]: Taking taylor expansion of 2.0 in beta
1.602 * [backup-simplify]: Simplify 2.0 into 2.0
1.602 * [taylor]: Taking taylor expansion of i in beta
1.602 * [backup-simplify]: Simplify i into i
1.602 * [taylor]: Taking taylor expansion of beta in beta
1.602 * [backup-simplify]: Simplify 0 into 0
1.603 * [backup-simplify]: Simplify 1 into 1
1.603 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
1.603 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
1.603 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 3) in beta
1.603 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
1.603 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
1.603 * [taylor]: Taking taylor expansion of 2.0 in beta
1.603 * [backup-simplify]: Simplify 2.0 into 2.0
1.603 * [taylor]: Taking taylor expansion of i in beta
1.603 * [backup-simplify]: Simplify i into i
1.603 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
1.603 * [taylor]: Taking taylor expansion of beta in beta
1.603 * [backup-simplify]: Simplify 0 into 0
1.603 * [backup-simplify]: Simplify 1 into 1
1.603 * [taylor]: Taking taylor expansion of 2.0 in beta
1.603 * [backup-simplify]: Simplify 2.0 into 2.0
1.603 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
1.603 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
1.603 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
1.604 * [backup-simplify]: Simplify (* 1 1) into 1
1.604 * [backup-simplify]: Simplify (* i 1) into i
1.604 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
1.604 * [backup-simplify]: Simplify (* (* 2.0 i) (* 4.0 (pow i 2))) into (* 8.0 (pow i 3))
1.604 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
1.605 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (pow (+ (* 2.0 i) 2.0) 2)) into (pow (+ (* 2.0 i) 2.0) 3)
1.605 * [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)))
1.605 * [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)))
1.606 * [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
1.606 * [taylor]: Taking taylor expansion of 4.0 in beta
1.606 * [backup-simplify]: Simplify 4.0 into 4.0
1.606 * [taylor]: Taking taylor expansion of (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3))) in beta
1.606 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
1.606 * [taylor]: Taking taylor expansion of beta in beta
1.606 * [backup-simplify]: Simplify 0 into 0
1.606 * [backup-simplify]: Simplify 1 into 1
1.606 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)) in beta
1.606 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 3) in beta
1.606 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
1.606 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
1.606 * [taylor]: Taking taylor expansion of 2.0 in beta
1.606 * [backup-simplify]: Simplify 2.0 into 2.0
1.606 * [taylor]: Taking taylor expansion of i in beta
1.606 * [backup-simplify]: Simplify i into i
1.606 * [taylor]: Taking taylor expansion of beta in beta
1.606 * [backup-simplify]: Simplify 0 into 0
1.606 * [backup-simplify]: Simplify 1 into 1
1.606 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
1.606 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
1.606 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 3) in beta
1.606 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
1.606 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
1.606 * [taylor]: Taking taylor expansion of 2.0 in beta
1.606 * [backup-simplify]: Simplify 2.0 into 2.0
1.606 * [taylor]: Taking taylor expansion of i in beta
1.606 * [backup-simplify]: Simplify i into i
1.606 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
1.607 * [taylor]: Taking taylor expansion of beta in beta
1.607 * [backup-simplify]: Simplify 0 into 0
1.607 * [backup-simplify]: Simplify 1 into 1
1.607 * [taylor]: Taking taylor expansion of 2.0 in beta
1.607 * [backup-simplify]: Simplify 2.0 into 2.0
1.607 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
1.611 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
1.611 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
1.612 * [backup-simplify]: Simplify (* 1 1) into 1
1.612 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
1.612 * [backup-simplify]: Simplify (* (* 2.0 i) (* 4.0 (pow i 2))) into (* 8.0 (pow i 3))
1.612 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
1.613 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (pow (+ (* 2.0 i) 2.0) 2)) into (pow (+ (* 2.0 i) 2.0) 3)
1.613 * [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)))
1.614 * [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)))
1.614 * [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
1.614 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))) in beta
1.614 * [taylor]: Taking taylor expansion of (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0))) in beta
1.614 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
1.614 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
1.614 * [taylor]: Taking taylor expansion of 2.0 in beta
1.614 * [backup-simplify]: Simplify 2.0 into 2.0
1.614 * [taylor]: Taking taylor expansion of i in beta
1.614 * [backup-simplify]: Simplify i into i
1.614 * [taylor]: Taking taylor expansion of beta in beta
1.614 * [backup-simplify]: Simplify 0 into 0
1.614 * [backup-simplify]: Simplify 1 into 1
1.614 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
1.614 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
1.614 * [taylor]: Taking taylor expansion of 2.0 in beta
1.614 * [backup-simplify]: Simplify 2.0 into 2.0
1.614 * [taylor]: Taking taylor expansion of i in beta
1.614 * [backup-simplify]: Simplify i into i
1.614 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
1.614 * [taylor]: Taking taylor expansion of beta in beta
1.614 * [backup-simplify]: Simplify 0 into 0
1.614 * [backup-simplify]: Simplify 1 into 1
1.614 * [taylor]: Taking taylor expansion of 2.0 in beta
1.614 * [backup-simplify]: Simplify 2.0 into 2.0
1.614 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
1.614 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
1.615 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
1.615 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
1.615 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
1.615 * [backup-simplify]: Simplify (* (* 2.0 i) (+ (* 2.0 i) 2.0)) into (* 2.0 (* i (+ (* 2.0 i) 2.0)))
1.615 * [backup-simplify]: Simplify (/ 1 (* 2.0 (* i (+ (* 2.0 i) 2.0)))) into (/ 0.5 (* i (+ (* 2.0 i) 2.0)))
1.616 * [taylor]: Taking taylor expansion of (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2))) in beta
1.616 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
1.616 * [taylor]: Taking taylor expansion of beta in beta
1.616 * [backup-simplify]: Simplify 0 into 0
1.616 * [backup-simplify]: Simplify 1 into 1
1.616 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)) in beta
1.616 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 2) in beta
1.616 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
1.616 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
1.616 * [taylor]: Taking taylor expansion of 2.0 in beta
1.616 * [backup-simplify]: Simplify 2.0 into 2.0
1.616 * [taylor]: Taking taylor expansion of i in beta
1.616 * [backup-simplify]: Simplify i into i
1.616 * [taylor]: Taking taylor expansion of beta in beta
1.616 * [backup-simplify]: Simplify 0 into 0
1.616 * [backup-simplify]: Simplify 1 into 1
1.616 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
1.616 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
1.616 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 2) in beta
1.616 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
1.616 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
1.616 * [taylor]: Taking taylor expansion of 2.0 in beta
1.616 * [backup-simplify]: Simplify 2.0 into 2.0
1.616 * [taylor]: Taking taylor expansion of i in beta
1.616 * [backup-simplify]: Simplify i into i
1.616 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
1.616 * [taylor]: Taking taylor expansion of beta in beta
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 in beta
1.616 * [backup-simplify]: Simplify 2.0 into 2.0
1.617 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
1.617 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
1.617 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
1.618 * [backup-simplify]: Simplify (* 1 1) into 1
1.618 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
1.618 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
1.618 * [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)))
1.619 * [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)))
1.619 * [backup-simplify]: Simplify (+ (/ 0.5 (* i (+ (* 2.0 i) 2.0))) 0) into (* 0.5 (/ 1 (* i (+ (* 2.0 i) 2.0))))
1.619 * [backup-simplify]: Simplify (- (* 0.5 (/ 1 (* i (+ (* 2.0 i) 2.0))))) into (- (* 0.5 (/ 1 (* i (+ (* 2.0 i) 2.0)))))
1.619 * [backup-simplify]: Simplify (+ 0 (- (* 0.5 (/ 1 (* i (+ (* 2.0 i) 2.0)))))) into (- (* 0.5 (/ 1 (* i (+ (* 2.0 i) 2.0)))))
1.620 * [taylor]: Taking taylor expansion of (- (* 0.5 (/ 1 (* i (+ (* 2.0 i) 2.0))))) in i
1.620 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (* i (+ (* 2.0 i) 2.0)))) in i
1.620 * [taylor]: Taking taylor expansion of 0.5 in i
1.620 * [backup-simplify]: Simplify 0.5 into 0.5
1.620 * [taylor]: Taking taylor expansion of (/ 1 (* i (+ (* 2.0 i) 2.0))) in i
1.620 * [taylor]: Taking taylor expansion of (* i (+ (* 2.0 i) 2.0)) in i
1.620 * [taylor]: Taking taylor expansion of i in i
1.620 * [backup-simplify]: Simplify 0 into 0
1.620 * [backup-simplify]: Simplify 1 into 1
1.620 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) 2.0) in i
1.620 * [taylor]: Taking taylor expansion of (* 2.0 i) in i
1.620 * [taylor]: Taking taylor expansion of 2.0 in i
1.620 * [backup-simplify]: Simplify 2.0 into 2.0
1.620 * [taylor]: Taking taylor expansion of i in i
1.620 * [backup-simplify]: Simplify 0 into 0
1.620 * [backup-simplify]: Simplify 1 into 1
1.620 * [taylor]: Taking taylor expansion of 2.0 in i
1.620 * [backup-simplify]: Simplify 2.0 into 2.0
1.621 * [backup-simplify]: Simplify (* 2.0 0) into 0
1.621 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
1.622 * [backup-simplify]: Simplify (* 0 2.0) into 0
1.623 * [backup-simplify]: Simplify (+ (* 2.0 1) (* 0 0)) into 2.0
1.624 * [backup-simplify]: Simplify (+ 2.0 0) into 2.0
1.624 * [backup-simplify]: Simplify (+ (* 0 2.0) (* 1 2.0)) into 2.0
1.625 * [backup-simplify]: Simplify (/ 1 2.0) into 0.5
1.625 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 1) (* 0 0))) into 0
1.626 * [backup-simplify]: Simplify (+ 0 0) into 0
1.627 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 2.0) (* 0 2.0))) into 2.0
1.628 * [backup-simplify]: Simplify (- (+ (* 0.5 (/ 2.0 2.0)))) into (- 0.5)
1.630 * [backup-simplify]: Simplify (+ (* 0.5 (- 0.5)) (* 0 0.5)) into (- 0.25)
1.630 * [backup-simplify]: Simplify (- (- 0.25)) into 0.25
1.630 * [backup-simplify]: Simplify 0.25 into 0.25
1.630 * [taylor]: Taking taylor expansion of (/ 0.5 (* i (+ (* 2.0 i) 2.0))) in i
1.630 * [taylor]: Taking taylor expansion of 0.5 in i
1.630 * [backup-simplify]: Simplify 0.5 into 0.5
1.630 * [taylor]: Taking taylor expansion of (* i (+ (* 2.0 i) 2.0)) in i
1.630 * [taylor]: Taking taylor expansion of i in i
1.630 * [backup-simplify]: Simplify 0 into 0
1.630 * [backup-simplify]: Simplify 1 into 1
1.630 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) 2.0) in i
1.630 * [taylor]: Taking taylor expansion of (* 2.0 i) in i
1.630 * [taylor]: Taking taylor expansion of 2.0 in i
1.630 * [backup-simplify]: Simplify 2.0 into 2.0
1.630 * [taylor]: Taking taylor expansion of i in i
1.630 * [backup-simplify]: Simplify 0 into 0
1.630 * [backup-simplify]: Simplify 1 into 1
1.631 * [taylor]: Taking taylor expansion of 2.0 in i
1.631 * [backup-simplify]: Simplify 2.0 into 2.0
1.631 * [backup-simplify]: Simplify (* 2.0 0) into 0
1.631 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
1.631 * [backup-simplify]: Simplify (* 0 2.0) into 0
1.632 * [backup-simplify]: Simplify (+ (* 2.0 1) (* 0 0)) into 2.0
1.632 * [backup-simplify]: Simplify (+ 2.0 0) into 2.0
1.633 * [backup-simplify]: Simplify (+ (* 0 2.0) (* 1 2.0)) into 2.0
1.634 * [backup-simplify]: Simplify (/ 0.5 2.0) into 0.25
1.634 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 1) (* 0 0))) into 0
1.635 * [backup-simplify]: Simplify (+ 0 0) into 0
1.636 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 2.0) (* 0 2.0))) into 2.0
1.638 * [backup-simplify]: Simplify (- (/ 0 2.0) (+ (* 0.25 (/ 2.0 2.0)))) into (- 0.25)
1.638 * [backup-simplify]: Simplify (- 0.25) into (- 0.25)
1.638 * [backup-simplify]: Simplify (- 0) into 0
1.639 * [backup-simplify]: Simplify (+ 0 0) into 0
1.639 * [backup-simplify]: Simplify (+ 0 0) into 0
1.639 * [backup-simplify]: Simplify (+ (* beta 0) (+ (* 1 0) (+ (* 0 -1) (* 0 beta)))) into 0
1.640 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 i)))) 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 0) into 0
1.642 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 i)))) into 0
1.642 * [backup-simplify]: Simplify (+ 0 0) into 0
1.642 * [backup-simplify]: Simplify (+ 0 0) into 0
1.643 * [backup-simplify]: Simplify (+ (* (+ (* 2.0 i) beta) 0) (+ (* 1 0) (+ (* 0 1) (* 0 (+ (* 2.0 i) (+ beta 2.0)))))) into 0
1.654 * [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))))))))))))))
1.654 * [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
1.655 * [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
1.655 * [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
1.655 * [taylor]: Taking taylor expansion of 4 in beta
1.655 * [backup-simplify]: Simplify 4 into 4
1.655 * [taylor]: Taking taylor expansion of (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3))) in beta
1.655 * [taylor]: Taking taylor expansion of (pow beta 3) in beta
1.655 * [taylor]: Taking taylor expansion of beta in beta
1.655 * [backup-simplify]: Simplify 0 into 0
1.655 * [backup-simplify]: Simplify 1 into 1
1.655 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)) in beta
1.655 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 3) in beta
1.655 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
1.655 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
1.655 * [taylor]: Taking taylor expansion of 2.0 in beta
1.655 * [backup-simplify]: Simplify 2.0 into 2.0
1.655 * [taylor]: Taking taylor expansion of i in beta
1.655 * [backup-simplify]: Simplify i into i
1.655 * [taylor]: Taking taylor expansion of beta in beta
1.655 * [backup-simplify]: Simplify 0 into 0
1.655 * [backup-simplify]: Simplify 1 into 1
1.655 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
1.655 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
1.655 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 3) in beta
1.655 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
1.655 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
1.655 * [taylor]: Taking taylor expansion of 2.0 in beta
1.655 * [backup-simplify]: Simplify 2.0 into 2.0
1.655 * [taylor]: Taking taylor expansion of i in beta
1.655 * [backup-simplify]: Simplify i into i
1.655 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
1.655 * [taylor]: Taking taylor expansion of beta in beta
1.655 * [backup-simplify]: Simplify 0 into 0
1.655 * [backup-simplify]: Simplify 1 into 1
1.655 * [taylor]: Taking taylor expansion of 2.0 in beta
1.655 * [backup-simplify]: Simplify 2.0 into 2.0
1.655 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
1.656 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
1.656 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
1.656 * [backup-simplify]: Simplify (* 1 1) into 1
1.656 * [backup-simplify]: Simplify (* 1 1) into 1
1.657 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
1.657 * [backup-simplify]: Simplify (* (* 2.0 i) (* 4.0 (pow i 2))) into (* 8.0 (pow i 3))
1.657 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
1.657 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (pow (+ (* 2.0 i) 2.0) 2)) into (pow (+ (* 2.0 i) 2.0) 3)
1.657 * [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)))
1.657 * [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)))
1.657 * [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
1.658 * [taylor]: Taking taylor expansion of (* 4.0 (/ i (* (pow (+ (* 2.0 i) (+ beta 2.0)) 2) (pow (+ (* 2.0 i) beta) 2)))) in beta
1.658 * [taylor]: Taking taylor expansion of 4.0 in beta
1.658 * [backup-simplify]: Simplify 4.0 into 4.0
1.658 * [taylor]: Taking taylor expansion of (/ i (* (pow (+ (* 2.0 i) (+ beta 2.0)) 2) (pow (+ (* 2.0 i) beta) 2))) in beta
1.658 * [taylor]: Taking taylor expansion of i in beta
1.658 * [backup-simplify]: Simplify i into i
1.658 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) (+ beta 2.0)) 2) (pow (+ (* 2.0 i) beta) 2)) in beta
1.658 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 2) in beta
1.658 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
1.658 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
1.658 * [taylor]: Taking taylor expansion of 2.0 in beta
1.658 * [backup-simplify]: Simplify 2.0 into 2.0
1.658 * [taylor]: Taking taylor expansion of i in beta
1.658 * [backup-simplify]: Simplify i into i
1.658 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
1.658 * [taylor]: Taking taylor expansion of beta in beta
1.658 * [backup-simplify]: Simplify 0 into 0
1.658 * [backup-simplify]: Simplify 1 into 1
1.658 * [taylor]: Taking taylor expansion of 2.0 in beta
1.658 * [backup-simplify]: Simplify 2.0 into 2.0
1.658 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
1.658 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
1.658 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
1.658 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 2) in beta
1.658 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
1.658 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
1.658 * [taylor]: Taking taylor expansion of 2.0 in beta
1.658 * [backup-simplify]: Simplify 2.0 into 2.0
1.658 * [taylor]: Taking taylor expansion of i in beta
1.658 * [backup-simplify]: Simplify i into i
1.658 * [taylor]: Taking taylor expansion of beta in beta
1.658 * [backup-simplify]: Simplify 0 into 0
1.658 * [backup-simplify]: Simplify 1 into 1
1.658 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
1.658 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
1.659 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
1.659 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
1.659 * [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)))
1.659 * [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)))
1.659 * [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
1.659 * [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
1.659 * [taylor]: Taking taylor expansion of 8.0 in beta
1.659 * [backup-simplify]: Simplify 8.0 into 8.0
1.659 * [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
1.659 * [taylor]: Taking taylor expansion of (* i (pow beta 2)) in beta
1.659 * [taylor]: Taking taylor expansion of i in beta
1.659 * [backup-simplify]: Simplify i into i
1.659 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
1.659 * [taylor]: Taking taylor expansion of beta in beta
1.659 * [backup-simplify]: Simplify 0 into 0
1.659 * [backup-simplify]: Simplify 1 into 1
1.659 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)) in beta
1.659 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 3) in beta
1.659 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
1.659 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
1.659 * [taylor]: Taking taylor expansion of 2.0 in beta
1.659 * [backup-simplify]: Simplify 2.0 into 2.0
1.659 * [taylor]: Taking taylor expansion of i in beta
1.659 * [backup-simplify]: Simplify i into i
1.659 * [taylor]: Taking taylor expansion of beta in beta
1.659 * [backup-simplify]: Simplify 0 into 0
1.660 * [backup-simplify]: Simplify 1 into 1
1.660 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
1.660 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
1.660 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 3) in beta
1.660 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
1.660 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
1.660 * [taylor]: Taking taylor expansion of 2.0 in beta
1.660 * [backup-simplify]: Simplify 2.0 into 2.0
1.660 * [taylor]: Taking taylor expansion of i in beta
1.660 * [backup-simplify]: Simplify i into i
1.660 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
1.660 * [taylor]: Taking taylor expansion of beta in beta
1.660 * [backup-simplify]: Simplify 0 into 0
1.660 * [backup-simplify]: Simplify 1 into 1
1.660 * [taylor]: Taking taylor expansion of 2.0 in beta
1.660 * [backup-simplify]: Simplify 2.0 into 2.0
1.660 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
1.660 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
1.660 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
1.661 * [backup-simplify]: Simplify (* 1 1) into 1
1.661 * [backup-simplify]: Simplify (* i 1) into i
1.661 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
1.661 * [backup-simplify]: Simplify (* (* 2.0 i) (* 4.0 (pow i 2))) into (* 8.0 (pow i 3))
1.661 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
1.661 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (pow (+ (* 2.0 i) 2.0) 2)) into (pow (+ (* 2.0 i) 2.0) 3)
1.661 * [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)))
1.661 * [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)))
1.662 * [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
1.662 * [taylor]: Taking taylor expansion of (* 2 (/ beta (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) in beta
1.662 * [taylor]: Taking taylor expansion of 2 in beta
1.662 * [backup-simplify]: Simplify 2 into 2
1.662 * [taylor]: Taking taylor expansion of (/ beta (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2))) in beta
1.662 * [taylor]: Taking taylor expansion of beta in beta
1.662 * [backup-simplify]: Simplify 0 into 0
1.662 * [backup-simplify]: Simplify 1 into 1
1.662 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)) in beta
1.662 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 2) in beta
1.662 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
1.662 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
1.662 * [taylor]: Taking taylor expansion of 2.0 in beta
1.662 * [backup-simplify]: Simplify 2.0 into 2.0
1.662 * [taylor]: Taking taylor expansion of i in beta
1.662 * [backup-simplify]: Simplify i into i
1.662 * [taylor]: Taking taylor expansion of beta in beta
1.662 * [backup-simplify]: Simplify 0 into 0
1.662 * [backup-simplify]: Simplify 1 into 1
1.662 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
1.662 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
1.662 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 2) in beta
1.662 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
1.662 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
1.662 * [taylor]: Taking taylor expansion of 2.0 in beta
1.662 * [backup-simplify]: Simplify 2.0 into 2.0
1.662 * [taylor]: Taking taylor expansion of i in beta
1.662 * [backup-simplify]: Simplify i into i
1.662 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
1.662 * [taylor]: Taking taylor expansion of beta in beta
1.662 * [backup-simplify]: Simplify 0 into 0
1.662 * [backup-simplify]: Simplify 1 into 1
1.662 * [taylor]: Taking taylor expansion of 2.0 in beta
1.662 * [backup-simplify]: Simplify 2.0 into 2.0
1.662 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
1.663 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
1.663 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
1.663 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
1.663 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
1.663 * [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)))
1.663 * [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)))
1.663 * [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
1.663 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) in beta
1.663 * [taylor]: Taking taylor expansion of 2.0 in beta
1.663 * [backup-simplify]: Simplify 2.0 into 2.0
1.663 * [taylor]: Taking taylor expansion of (/ 1 (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2))) in beta
1.663 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)) in beta
1.663 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 2) in beta
1.663 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
1.663 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
1.663 * [taylor]: Taking taylor expansion of 2.0 in beta
1.663 * [backup-simplify]: Simplify 2.0 into 2.0
1.663 * [taylor]: Taking taylor expansion of i in beta
1.663 * [backup-simplify]: Simplify i into i
1.663 * [taylor]: Taking taylor expansion of beta in beta
1.663 * [backup-simplify]: Simplify 0 into 0
1.664 * [backup-simplify]: Simplify 1 into 1
1.664 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
1.664 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
1.664 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 2) in beta
1.664 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
1.664 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
1.664 * [taylor]: Taking taylor expansion of 2.0 in beta
1.664 * [backup-simplify]: Simplify 2.0 into 2.0
1.664 * [taylor]: Taking taylor expansion of i in beta
1.664 * [backup-simplify]: Simplify i into i
1.664 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
1.664 * [taylor]: Taking taylor expansion of beta in beta
1.664 * [backup-simplify]: Simplify 0 into 0
1.664 * [backup-simplify]: Simplify 1 into 1
1.664 * [taylor]: Taking taylor expansion of 2.0 in beta
1.664 * [backup-simplify]: Simplify 2.0 into 2.0
1.664 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
1.664 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
1.664 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
1.664 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
1.664 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
1.665 * [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)))
1.665 * [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)))
1.665 * [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
1.665 * [taylor]: Taking taylor expansion of 4.0 in beta
1.665 * [backup-simplify]: Simplify 4.0 into 4.0
1.665 * [taylor]: Taking taylor expansion of (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3))) in beta
1.665 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
1.665 * [taylor]: Taking taylor expansion of beta in beta
1.665 * [backup-simplify]: Simplify 0 into 0
1.665 * [backup-simplify]: Simplify 1 into 1
1.665 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)) in beta
1.665 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 3) in beta
1.665 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
1.665 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
1.665 * [taylor]: Taking taylor expansion of 2.0 in beta
1.665 * [backup-simplify]: Simplify 2.0 into 2.0
1.665 * [taylor]: Taking taylor expansion of i in beta
1.665 * [backup-simplify]: Simplify i into i
1.665 * [taylor]: Taking taylor expansion of beta in beta
1.665 * [backup-simplify]: Simplify 0 into 0
1.665 * [backup-simplify]: Simplify 1 into 1
1.665 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
1.665 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
1.665 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 3) in beta
1.665 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
1.665 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
1.665 * [taylor]: Taking taylor expansion of 2.0 in beta
1.665 * [backup-simplify]: Simplify 2.0 into 2.0
1.665 * [taylor]: Taking taylor expansion of i in beta
1.665 * [backup-simplify]: Simplify i into i
1.665 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
1.665 * [taylor]: Taking taylor expansion of beta in beta
1.665 * [backup-simplify]: Simplify 0 into 0
1.665 * [backup-simplify]: Simplify 1 into 1
1.665 * [taylor]: Taking taylor expansion of 2.0 in beta
1.665 * [backup-simplify]: Simplify 2.0 into 2.0
1.665 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
1.666 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
1.666 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
1.666 * [backup-simplify]: Simplify (* 1 1) into 1
1.666 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
1.666 * [backup-simplify]: Simplify (* (* 2.0 i) (* 4.0 (pow i 2))) into (* 8.0 (pow i 3))
1.666 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
1.667 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (pow (+ (* 2.0 i) 2.0) 2)) into (pow (+ (* 2.0 i) 2.0) 3)
1.667 * [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)))
1.667 * [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)))
1.667 * [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
1.667 * [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
1.667 * [taylor]: Taking taylor expansion of 48.0 in beta
1.667 * [backup-simplify]: Simplify 48.0 into 48.0
1.667 * [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
1.667 * [taylor]: Taking taylor expansion of (* i (pow beta 4)) in beta
1.667 * [taylor]: Taking taylor expansion of i in beta
1.667 * [backup-simplify]: Simplify i into i
1.667 * [taylor]: Taking taylor expansion of (pow beta 4) in beta
1.667 * [taylor]: Taking taylor expansion of beta in beta
1.667 * [backup-simplify]: Simplify 0 into 0
1.667 * [backup-simplify]: Simplify 1 into 1
1.667 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)) in beta
1.667 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 4) in beta
1.667 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
1.667 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
1.667 * [taylor]: Taking taylor expansion of 2.0 in beta
1.667 * [backup-simplify]: Simplify 2.0 into 2.0
1.667 * [taylor]: Taking taylor expansion of i in beta
1.667 * [backup-simplify]: Simplify i into i
1.667 * [taylor]: Taking taylor expansion of beta in beta
1.667 * [backup-simplify]: Simplify 0 into 0
1.667 * [backup-simplify]: Simplify 1 into 1
1.667 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
1.668 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
1.668 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 4) in beta
1.668 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
1.668 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
1.668 * [taylor]: Taking taylor expansion of 2.0 in beta
1.668 * [backup-simplify]: Simplify 2.0 into 2.0
1.668 * [taylor]: Taking taylor expansion of i in beta
1.668 * [backup-simplify]: Simplify i into i
1.668 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
1.668 * [taylor]: Taking taylor expansion of beta in beta
1.668 * [backup-simplify]: Simplify 0 into 0
1.668 * [backup-simplify]: Simplify 1 into 1
1.668 * [taylor]: Taking taylor expansion of 2.0 in beta
1.668 * [backup-simplify]: Simplify 2.0 into 2.0
1.668 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
1.668 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
1.668 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
1.668 * [backup-simplify]: Simplify (* 1 1) into 1
1.669 * [backup-simplify]: Simplify (* 1 1) into 1
1.669 * [backup-simplify]: Simplify (* i 1) into i
1.669 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
1.669 * [backup-simplify]: Simplify (* (* 4.0 (pow i 2)) (* 4.0 (pow i 2))) into (* 16.0 (pow i 4))
1.669 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
1.669 * [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)
1.669 * [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)))
1.670 * [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)))
1.670 * [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
1.670 * [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
1.670 * [taylor]: Taking taylor expansion of 24.0 in beta
1.670 * [backup-simplify]: Simplify 24.0 into 24.0
1.670 * [taylor]: Taking taylor expansion of (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4))) in beta
1.670 * [taylor]: Taking taylor expansion of (pow beta 3) in beta
1.670 * [taylor]: Taking taylor expansion of beta in beta
1.670 * [backup-simplify]: Simplify 0 into 0
1.670 * [backup-simplify]: Simplify 1 into 1
1.670 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)) in beta
1.670 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 4) in beta
1.670 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
1.670 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
1.670 * [taylor]: Taking taylor expansion of 2.0 in beta
1.670 * [backup-simplify]: Simplify 2.0 into 2.0
1.670 * [taylor]: Taking taylor expansion of i in beta
1.670 * [backup-simplify]: Simplify i into i
1.670 * [taylor]: Taking taylor expansion of beta in beta
1.670 * [backup-simplify]: Simplify 0 into 0
1.670 * [backup-simplify]: Simplify 1 into 1
1.670 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
1.670 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
1.670 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 4) in beta
1.670 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
1.670 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
1.670 * [taylor]: Taking taylor expansion of 2.0 in beta
1.670 * [backup-simplify]: Simplify 2.0 into 2.0
1.670 * [taylor]: Taking taylor expansion of i in beta
1.670 * [backup-simplify]: Simplify i into i
1.670 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
1.670 * [taylor]: Taking taylor expansion of beta in beta
1.670 * [backup-simplify]: Simplify 0 into 0
1.670 * [backup-simplify]: Simplify 1 into 1
1.670 * [taylor]: Taking taylor expansion of 2.0 in beta
1.670 * [backup-simplify]: Simplify 2.0 into 2.0
1.670 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
1.671 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
1.671 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
1.671 * [backup-simplify]: Simplify (* 1 1) into 1
1.671 * [backup-simplify]: Simplify (* 1 1) into 1
1.671 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
1.672 * [backup-simplify]: Simplify (* (* 4.0 (pow i 2)) (* 4.0 (pow i 2))) into (* 16.0 (pow i 4))
1.672 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
1.672 * [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)
1.673 * [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)))
1.673 * [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)))
1.673 * [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
1.673 * [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
1.673 * [taylor]: Taking taylor expansion of 96.0 in beta
1.673 * [backup-simplify]: Simplify 96.0 into 96.0
1.673 * [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
1.673 * [taylor]: Taking taylor expansion of (* i (pow beta 3)) in beta
1.673 * [taylor]: Taking taylor expansion of i in beta
1.673 * [backup-simplify]: Simplify i into i
1.673 * [taylor]: Taking taylor expansion of (pow beta 3) in beta
1.673 * [taylor]: Taking taylor expansion of beta in beta
1.673 * [backup-simplify]: Simplify 0 into 0
1.673 * [backup-simplify]: Simplify 1 into 1
1.673 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)) in beta
1.673 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 4) in beta
1.673 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
1.673 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
1.674 * [taylor]: Taking taylor expansion of 2.0 in beta
1.674 * [backup-simplify]: Simplify 2.0 into 2.0
1.674 * [taylor]: Taking taylor expansion of i in beta
1.674 * [backup-simplify]: Simplify i into i
1.674 * [taylor]: Taking taylor expansion of beta in beta
1.674 * [backup-simplify]: Simplify 0 into 0
1.674 * [backup-simplify]: Simplify 1 into 1
1.674 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
1.674 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
1.674 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 4) in beta
1.674 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
1.674 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
1.674 * [taylor]: Taking taylor expansion of 2.0 in beta
1.674 * [backup-simplify]: Simplify 2.0 into 2.0
1.674 * [taylor]: Taking taylor expansion of i in beta
1.674 * [backup-simplify]: Simplify i into i
1.674 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
1.674 * [taylor]: Taking taylor expansion of beta in beta
1.674 * [backup-simplify]: Simplify 0 into 0
1.674 * [backup-simplify]: Simplify 1 into 1
1.674 * [taylor]: Taking taylor expansion of 2.0 in beta
1.674 * [backup-simplify]: Simplify 2.0 into 2.0
1.674 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
1.675 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
1.675 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
1.675 * [backup-simplify]: Simplify (* 1 1) into 1
1.676 * [backup-simplify]: Simplify (* 1 1) into 1
1.676 * [backup-simplify]: Simplify (* i 1) into i
1.676 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
1.676 * [backup-simplify]: Simplify (* (* 4.0 (pow i 2)) (* 4.0 (pow i 2))) into (* 16.0 (pow i 4))
1.676 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
1.677 * [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)
1.677 * [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)))
1.677 * [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)))
1.677 * [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
1.678 * [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
1.678 * [taylor]: Taking taylor expansion of 8 in beta
1.678 * [backup-simplify]: Simplify 8 into 8
1.678 * [taylor]: Taking taylor expansion of (/ (pow beta 5) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4))) in beta
1.678 * [taylor]: Taking taylor expansion of (pow beta 5) in beta
1.678 * [taylor]: Taking taylor expansion of beta in beta
1.678 * [backup-simplify]: Simplify 0 into 0
1.678 * [backup-simplify]: Simplify 1 into 1
1.678 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)) in beta
1.678 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 4) in beta
1.678 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
1.678 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
1.678 * [taylor]: Taking taylor expansion of 2.0 in beta
1.678 * [backup-simplify]: Simplify 2.0 into 2.0
1.678 * [taylor]: Taking taylor expansion of i in beta
1.678 * [backup-simplify]: Simplify i into i
1.678 * [taylor]: Taking taylor expansion of beta in beta
1.678 * [backup-simplify]: Simplify 0 into 0
1.678 * [backup-simplify]: Simplify 1 into 1
1.678 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
1.678 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
1.678 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 4) in beta
1.678 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
1.678 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
1.678 * [taylor]: Taking taylor expansion of 2.0 in beta
1.678 * [backup-simplify]: Simplify 2.0 into 2.0
1.678 * [taylor]: Taking taylor expansion of i in beta
1.678 * [backup-simplify]: Simplify i into i
1.678 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
1.679 * [taylor]: Taking taylor expansion of beta in beta
1.679 * [backup-simplify]: Simplify 0 into 0
1.679 * [backup-simplify]: Simplify 1 into 1
1.679 * [taylor]: Taking taylor expansion of 2.0 in beta
1.679 * [backup-simplify]: Simplify 2.0 into 2.0
1.679 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
1.679 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
1.679 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
1.680 * [backup-simplify]: Simplify (* 1 1) into 1
1.680 * [backup-simplify]: Simplify (* 1 1) into 1
1.681 * [backup-simplify]: Simplify (* 1 1) into 1
1.681 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
1.681 * [backup-simplify]: Simplify (* (* 4.0 (pow i 2)) (* 4.0 (pow i 2))) into (* 16.0 (pow i 4))
1.681 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
1.682 * [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)
1.682 * [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)))
1.682 * [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)))
1.682 * [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
1.682 * [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
1.682 * [taylor]: Taking taylor expansion of 64.0 in beta
1.682 * [backup-simplify]: Simplify 64.0 into 64.0
1.682 * [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
1.682 * [taylor]: Taking taylor expansion of (* (pow i 3) (pow beta 2)) in beta
1.683 * [taylor]: Taking taylor expansion of (pow i 3) in beta
1.683 * [taylor]: Taking taylor expansion of i in beta
1.683 * [backup-simplify]: Simplify i into i
1.683 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
1.683 * [taylor]: Taking taylor expansion of beta in beta
1.683 * [backup-simplify]: Simplify 0 into 0
1.683 * [backup-simplify]: Simplify 1 into 1
1.683 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)) in beta
1.683 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 4) in beta
1.683 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
1.683 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
1.683 * [taylor]: Taking taylor expansion of 2.0 in beta
1.683 * [backup-simplify]: Simplify 2.0 into 2.0
1.683 * [taylor]: Taking taylor expansion of i in beta
1.683 * [backup-simplify]: Simplify i into i
1.683 * [taylor]: Taking taylor expansion of beta in beta
1.683 * [backup-simplify]: Simplify 0 into 0
1.683 * [backup-simplify]: Simplify 1 into 1
1.683 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
1.683 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
1.683 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 4) in beta
1.683 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
1.683 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
1.683 * [taylor]: Taking taylor expansion of 2.0 in beta
1.683 * [backup-simplify]: Simplify 2.0 into 2.0
1.683 * [taylor]: Taking taylor expansion of i in beta
1.683 * [backup-simplify]: Simplify i into i
1.683 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
1.683 * [taylor]: Taking taylor expansion of beta in beta
1.683 * [backup-simplify]: Simplify 0 into 0
1.683 * [backup-simplify]: Simplify 1 into 1
1.683 * [taylor]: Taking taylor expansion of 2.0 in beta
1.683 * [backup-simplify]: Simplify 2.0 into 2.0
1.683 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
1.684 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
1.684 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
1.684 * [backup-simplify]: Simplify (* i i) into (pow i 2)
1.684 * [backup-simplify]: Simplify (* i (pow i 2)) into (pow i 3)
1.685 * [backup-simplify]: Simplify (* 1 1) into 1
1.685 * [backup-simplify]: Simplify (* (pow i 3) 1) into (pow i 3)
1.685 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
1.685 * [backup-simplify]: Simplify (* (* 4.0 (pow i 2)) (* 4.0 (pow i 2))) into (* 16.0 (pow i 4))
1.685 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
1.686 * [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)
1.686 * [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)))
1.686 * [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)))
1.686 * [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
1.686 * [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
1.686 * [taylor]: Taking taylor expansion of 96.0 in beta
1.686 * [backup-simplify]: Simplify 96.0 into 96.0
1.686 * [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
1.686 * [taylor]: Taking taylor expansion of (* (pow i 2) (pow beta 3)) in beta
1.686 * [taylor]: Taking taylor expansion of (pow i 2) in beta
1.687 * [taylor]: Taking taylor expansion of i in beta
1.687 * [backup-simplify]: Simplify i into i
1.687 * [taylor]: Taking taylor expansion of (pow beta 3) in beta
1.687 * [taylor]: Taking taylor expansion of beta in beta
1.687 * [backup-simplify]: Simplify 0 into 0
1.687 * [backup-simplify]: Simplify 1 into 1
1.687 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)) in beta
1.687 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 4) in beta
1.687 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
1.687 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
1.687 * [taylor]: Taking taylor expansion of 2.0 in beta
1.687 * [backup-simplify]: Simplify 2.0 into 2.0
1.687 * [taylor]: Taking taylor expansion of i in beta
1.687 * [backup-simplify]: Simplify i into i
1.687 * [taylor]: Taking taylor expansion of beta in beta
1.687 * [backup-simplify]: Simplify 0 into 0
1.687 * [backup-simplify]: Simplify 1 into 1
1.687 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
1.687 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
1.687 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 4) in beta
1.687 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
1.687 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
1.687 * [taylor]: Taking taylor expansion of 2.0 in beta
1.687 * [backup-simplify]: Simplify 2.0 into 2.0
1.687 * [taylor]: Taking taylor expansion of i in beta
1.687 * [backup-simplify]: Simplify i into i
1.687 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
1.687 * [taylor]: Taking taylor expansion of beta in beta
1.687 * [backup-simplify]: Simplify 0 into 0
1.687 * [backup-simplify]: Simplify 1 into 1
1.687 * [taylor]: Taking taylor expansion of 2.0 in beta
1.687 * [backup-simplify]: Simplify 2.0 into 2.0
1.687 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
1.688 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
1.688 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
1.688 * [backup-simplify]: Simplify (* i i) into (pow i 2)
1.688 * [backup-simplify]: Simplify (* 1 1) into 1
1.689 * [backup-simplify]: Simplify (* 1 1) into 1
1.689 * [backup-simplify]: Simplify (* (pow i 2) 1) into (pow i 2)
1.689 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
1.689 * [backup-simplify]: Simplify (* (* 4.0 (pow i 2)) (* 4.0 (pow i 2))) into (* 16.0 (pow i 4))
1.690 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
1.690 * [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)
1.690 * [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)))
1.691 * [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)))
1.691 * [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
1.691 * [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
1.691 * [taylor]: Taking taylor expansion of 24.0 in beta
1.691 * [backup-simplify]: Simplify 24.0 into 24.0
1.691 * [taylor]: Taking taylor expansion of (/ (pow beta 4) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4))) in beta
1.691 * [taylor]: Taking taylor expansion of (pow beta 4) in beta
1.691 * [taylor]: Taking taylor expansion of beta in beta
1.691 * [backup-simplify]: Simplify 0 into 0
1.691 * [backup-simplify]: Simplify 1 into 1
1.691 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)) in beta
1.691 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 4) in beta
1.691 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
1.691 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
1.691 * [taylor]: Taking taylor expansion of 2.0 in beta
1.691 * [backup-simplify]: Simplify 2.0 into 2.0
1.691 * [taylor]: Taking taylor expansion of i in beta
1.691 * [backup-simplify]: Simplify i into i
1.691 * [taylor]: Taking taylor expansion of beta in beta
1.691 * [backup-simplify]: Simplify 0 into 0
1.692 * [backup-simplify]: Simplify 1 into 1
1.692 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
1.692 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
1.692 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 4) in beta
1.692 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
1.692 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
1.692 * [taylor]: Taking taylor expansion of 2.0 in beta
1.692 * [backup-simplify]: Simplify 2.0 into 2.0
1.692 * [taylor]: Taking taylor expansion of i in beta
1.692 * [backup-simplify]: Simplify i into i
1.692 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
1.692 * [taylor]: Taking taylor expansion of beta in beta
1.692 * [backup-simplify]: Simplify 0 into 0
1.692 * [backup-simplify]: Simplify 1 into 1
1.692 * [taylor]: Taking taylor expansion of 2.0 in beta
1.692 * [backup-simplify]: Simplify 2.0 into 2.0
1.692 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
1.693 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
1.693 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
1.693 * [backup-simplify]: Simplify (* 1 1) into 1
1.694 * [backup-simplify]: Simplify (* 1 1) into 1
1.694 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
1.694 * [backup-simplify]: Simplify (* (* 4.0 (pow i 2)) (* 4.0 (pow i 2))) into (* 16.0 (pow i 4))
1.695 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
1.695 * [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)
1.695 * [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)))
1.696 * [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)))
1.696 * [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
1.696 * [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
1.696 * [taylor]: Taking taylor expansion of 8.0 in beta
1.696 * [backup-simplify]: Simplify 8.0 into 8.0
1.696 * [taylor]: Taking taylor expansion of (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4))) in beta
1.696 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
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 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)) in beta
1.696 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 4) in beta
1.696 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
1.696 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
1.696 * [taylor]: Taking taylor expansion of 2.0 in beta
1.696 * [backup-simplify]: Simplify 2.0 into 2.0
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 (* 2.0 i) into (* 2.0 i)
1.696 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
1.697 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 4) in beta
1.697 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
1.697 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
1.697 * [taylor]: Taking taylor expansion of 2.0 in beta
1.697 * [backup-simplify]: Simplify 2.0 into 2.0
1.697 * [taylor]: Taking taylor expansion of i in beta
1.697 * [backup-simplify]: Simplify i into i
1.697 * [taylor]: Taking taylor expansion of (+ beta 2.0) 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 * [taylor]: Taking taylor expansion of 2.0 in beta
1.697 * [backup-simplify]: Simplify 2.0 into 2.0
1.697 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
1.698 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
1.698 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
1.698 * [backup-simplify]: Simplify (* 1 1) into 1
1.698 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
1.698 * [backup-simplify]: Simplify (* (* 4.0 (pow i 2)) (* 4.0 (pow i 2))) into (* 16.0 (pow i 4))
1.699 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
1.699 * [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)
1.699 * [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)))
1.700 * [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)))
1.700 * [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
1.700 * [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
1.700 * [taylor]: Taking taylor expansion of 48.0 in beta
1.700 * [backup-simplify]: Simplify 48.0 into 48.0
1.700 * [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
1.700 * [taylor]: Taking taylor expansion of (* i (pow beta 2)) in beta
1.700 * [taylor]: Taking taylor expansion of i in beta
1.700 * [backup-simplify]: Simplify i into i
1.700 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
1.700 * [taylor]: Taking taylor expansion of beta in beta
1.700 * [backup-simplify]: Simplify 0 into 0
1.700 * [backup-simplify]: Simplify 1 into 1
1.700 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)) in beta
1.700 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 4) in beta
1.700 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
1.700 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
1.700 * [taylor]: Taking taylor expansion of 2.0 in beta
1.700 * [backup-simplify]: Simplify 2.0 into 2.0
1.700 * [taylor]: Taking taylor expansion of i in beta
1.700 * [backup-simplify]: Simplify i into i
1.700 * [taylor]: Taking taylor expansion of beta in beta
1.700 * [backup-simplify]: Simplify 0 into 0
1.700 * [backup-simplify]: Simplify 1 into 1
1.701 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
1.701 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
1.701 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 4) in beta
1.701 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
1.701 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
1.701 * [taylor]: Taking taylor expansion of 2.0 in beta
1.701 * [backup-simplify]: Simplify 2.0 into 2.0
1.701 * [taylor]: Taking taylor expansion of i in beta
1.701 * [backup-simplify]: Simplify i into i
1.701 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
1.701 * [taylor]: Taking taylor expansion of beta in beta
1.701 * [backup-simplify]: Simplify 0 into 0
1.701 * [backup-simplify]: Simplify 1 into 1
1.701 * [taylor]: Taking taylor expansion of 2.0 in beta
1.701 * [backup-simplify]: Simplify 2.0 into 2.0
1.701 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
1.702 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
1.702 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
1.702 * [backup-simplify]: Simplify (* 1 1) into 1
1.702 * [backup-simplify]: Simplify (* i 1) into i
1.702 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
1.703 * [backup-simplify]: Simplify (* (* 4.0 (pow i 2)) (* 4.0 (pow i 2))) into (* 16.0 (pow i 4))
1.703 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
1.703 * [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)
1.703 * [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)))
1.704 * [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)))
1.704 * [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
1.704 * [taylor]: Taking taylor expansion of 96.0 in beta
1.704 * [backup-simplify]: Simplify 96.0 into 96.0
1.704 * [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
1.704 * [taylor]: Taking taylor expansion of (* (pow i 2) (pow beta 2)) in beta
1.704 * [taylor]: Taking taylor expansion of (pow i 2) in beta
1.704 * [taylor]: Taking taylor expansion of i in beta
1.704 * [backup-simplify]: Simplify i into i
1.704 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
1.704 * [taylor]: Taking taylor expansion of beta in beta
1.704 * [backup-simplify]: Simplify 0 into 0
1.704 * [backup-simplify]: Simplify 1 into 1
1.704 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)) in beta
1.704 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 4) in beta
1.704 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
1.704 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
1.704 * [taylor]: Taking taylor expansion of 2.0 in beta
1.704 * [backup-simplify]: Simplify 2.0 into 2.0
1.704 * [taylor]: Taking taylor expansion of i in beta
1.705 * [backup-simplify]: Simplify i into i
1.705 * [taylor]: Taking taylor expansion of beta in beta
1.705 * [backup-simplify]: Simplify 0 into 0
1.705 * [backup-simplify]: Simplify 1 into 1
1.705 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
1.705 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
1.705 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 4) in beta
1.705 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
1.705 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
1.705 * [taylor]: Taking taylor expansion of 2.0 in beta
1.705 * [backup-simplify]: Simplify 2.0 into 2.0
1.705 * [taylor]: Taking taylor expansion of i in beta
1.705 * [backup-simplify]: Simplify i into i
1.705 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
1.705 * [taylor]: Taking taylor expansion of beta in beta
1.705 * [backup-simplify]: Simplify 0 into 0
1.705 * [backup-simplify]: Simplify 1 into 1
1.705 * [taylor]: Taking taylor expansion of 2.0 in beta
1.705 * [backup-simplify]: Simplify 2.0 into 2.0
1.705 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
1.706 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
1.706 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
1.706 * [backup-simplify]: Simplify (* i i) into (pow i 2)
1.706 * [backup-simplify]: Simplify (* 1 1) into 1
1.706 * [backup-simplify]: Simplify (* (pow i 2) 1) into (pow i 2)
1.707 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
1.707 * [backup-simplify]: Simplify (* (* 4.0 (pow i 2)) (* 4.0 (pow i 2))) into (* 16.0 (pow i 4))
1.707 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
1.707 * [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)
1.708 * [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)))
1.708 * [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)))
1.709 * [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)))
1.709 * [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)))
1.709 * [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))))
1.710 * [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))))
1.710 * [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))))
1.711 * [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)))))
1.712 * [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)))))
1.713 * [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)))))
1.713 * [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
1.713 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 2)))) in i
1.713 * [taylor]: Taking taylor expansion of 0.5 in i
1.713 * [backup-simplify]: Simplify 0.5 into 0.5
1.713 * [taylor]: Taking taylor expansion of (/ 1 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 2))) in i
1.713 * [taylor]: Taking taylor expansion of (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 2)) in i
1.713 * [taylor]: Taking taylor expansion of (pow i 2) in i
1.713 * [taylor]: Taking taylor expansion of i in i
1.713 * [backup-simplify]: Simplify 0 into 0
1.713 * [backup-simplify]: Simplify 1 into 1
1.713 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) 2.0) 2) in i
1.713 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) 2.0) in i
1.713 * [taylor]: Taking taylor expansion of (* 2.0 i) in i
1.713 * [taylor]: Taking taylor expansion of 2.0 in i
1.713 * [backup-simplify]: Simplify 2.0 into 2.0
1.713 * [taylor]: Taking taylor expansion of i in i
1.713 * [backup-simplify]: Simplify 0 into 0
1.713 * [backup-simplify]: Simplify 1 into 1
1.713 * [taylor]: Taking taylor expansion of 2.0 in i
1.713 * [backup-simplify]: Simplify 2.0 into 2.0
1.714 * [backup-simplify]: Simplify (* 2.0 0) into 0
1.715 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
1.715 * [backup-simplify]: Simplify (* 1 1) into 1
1.715 * [backup-simplify]: Simplify (* 2.0 2.0) into 4.0
1.716 * [backup-simplify]: Simplify (* 1 4.0) into 4.0
1.716 * [backup-simplify]: Simplify (/ 1 4.0) into 0.25
1.716 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (* i (pow (+ (* 2.0 i) 2.0) 2)))) in i
1.716 * [taylor]: Taking taylor expansion of 1.0 in i
1.716 * [backup-simplify]: Simplify 1.0 into 1.0
1.716 * [taylor]: Taking taylor expansion of (/ 1 (* i (pow (+ (* 2.0 i) 2.0) 2))) in i
1.716 * [taylor]: Taking taylor expansion of (* i (pow (+ (* 2.0 i) 2.0) 2)) in i
1.717 * [taylor]: Taking taylor expansion of i in i
1.717 * [backup-simplify]: Simplify 0 into 0
1.717 * [backup-simplify]: Simplify 1 into 1
1.717 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) 2.0) 2) in i
1.717 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) 2.0) in i
1.717 * [taylor]: Taking taylor expansion of (* 2.0 i) in i
1.717 * [taylor]: Taking taylor expansion of 2.0 in i
1.717 * [backup-simplify]: Simplify 2.0 into 2.0
1.717 * [taylor]: Taking taylor expansion of i in i
1.717 * [backup-simplify]: Simplify 0 into 0
1.717 * [backup-simplify]: Simplify 1 into 1
1.717 * [taylor]: Taking taylor expansion of 2.0 in i
1.717 * [backup-simplify]: Simplify 2.0 into 2.0
1.717 * [backup-simplify]: Simplify (* 2.0 0) into 0
1.718 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
1.718 * [backup-simplify]: Simplify (* 2.0 2.0) into 4.0
1.719 * [backup-simplify]: Simplify (* 0 4.0) into 0
1.720 * [backup-simplify]: Simplify (+ (* 2.0 1) (* 0 0)) into 2.0
1.721 * [backup-simplify]: Simplify (+ 2.0 0) into 2.0
1.722 * [backup-simplify]: Simplify (+ (* 2.0 2.0) (* 2.0 2.0)) into 8.0
1.724 * [backup-simplify]: Simplify (+ (* 0 8.0) (* 1 4.0)) into 4.0
1.724 * [backup-simplify]: Simplify (/ 1 4.0) into 0.25
1.725 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 1) (* 0 0))) into 0
1.725 * [backup-simplify]: Simplify (+ 0 0) into 0
1.727 * [backup-simplify]: Simplify (+ (* 2.0 1) (* 0 0)) into 2.0
1.728 * [backup-simplify]: Simplify (+ 2.0 0) into 2.0
1.730 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 2.0 2.0) (* 0 2.0))) into 4.0
1.731 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.732 * [backup-simplify]: Simplify (+ (* 2.0 2.0) (* 2.0 2.0)) into 8.0
1.733 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.735 * [backup-simplify]: Simplify (+ (* 1 4.0) (+ (* 0 8.0) (* 0 4.0))) into 4.0
1.737 * [backup-simplify]: Simplify (+ (* 1 8.0) (* 0 4.0)) into 8.0
1.740 * [backup-simplify]: Simplify (- (+ (* 0.25 (/ 8.0 4.0)))) into (- 0.5)
1.745 * [backup-simplify]: Simplify (- (+ (* 0.25 (/ 4.0 4.0)) (* (- 0.5) (/ 8.0 4.0)))) into 0.75
1.753 * [backup-simplify]: Simplify (+ (* 0.5 0.75) (+ (* 0 (- 0.5)) (* 0 0.25))) into 0.375
1.754 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 1) (* 0 0))) into 0
1.755 * [backup-simplify]: Simplify (+ 0 0) into 0
1.757 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 2.0 2.0) (* 0 2.0))) into 4.0
1.760 * [backup-simplify]: Simplify (+ (* 0 4.0) (+ (* 1 8.0) (* 0 4.0))) into 8.0
1.763 * [backup-simplify]: Simplify (- (+ (* 0.25 (/ 8.0 4.0)))) into (- 0.5)
1.765 * [backup-simplify]: Simplify (+ (* 1.0 (- 0.5)) (* 0 0.25)) into (- 0.5)
1.766 * [backup-simplify]: Simplify (+ 0.375 (- 0.5)) into (- 0.125)
1.767 * [backup-simplify]: Simplify (- 0.125) into (- 0.125)
1.768 * [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))))
1.769 * [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)))))
1.769 * [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
1.769 * [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
1.769 * [taylor]: Taking taylor expansion of (* (+ (/ 1 alpha) (/ 1 beta)) (- (/ 1 beta) (/ 1 alpha))) in i
1.769 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (/ 1 beta)) in i
1.769 * [taylor]: Taking taylor expansion of (/ 1 alpha) in i
1.770 * [taylor]: Taking taylor expansion of alpha in i
1.770 * [backup-simplify]: Simplify alpha into alpha
1.770 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
1.770 * [taylor]: Taking taylor expansion of (/ 1 beta) in i
1.770 * [taylor]: Taking taylor expansion of beta in i
1.770 * [backup-simplify]: Simplify beta into beta
1.770 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
1.770 * [taylor]: Taking taylor expansion of (- (/ 1 beta) (/ 1 alpha)) in i
1.770 * [taylor]: Taking taylor expansion of (/ 1 beta) in i
1.770 * [taylor]: Taking taylor expansion of beta in i
1.770 * [backup-simplify]: Simplify beta into beta
1.770 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
1.770 * [taylor]: Taking taylor expansion of (/ 1 alpha) in i
1.770 * [taylor]: Taking taylor expansion of alpha in i
1.770 * [backup-simplify]: Simplify alpha into alpha
1.770 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
1.770 * [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
1.770 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) in i
1.770 * [taylor]: Taking taylor expansion of (/ 1 alpha) in i
1.770 * [taylor]: Taking taylor expansion of alpha in i
1.770 * [backup-simplify]: Simplify alpha into alpha
1.770 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
1.770 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0)) in i
1.770 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in i
1.770 * [taylor]: Taking taylor expansion of 2.0 in i
1.770 * [backup-simplify]: Simplify 2.0 into 2.0
1.771 * [taylor]: Taking taylor expansion of (/ 1 i) in i
1.771 * [taylor]: Taking taylor expansion of i in i
1.771 * [backup-simplify]: Simplify 0 into 0
1.771 * [backup-simplify]: Simplify 1 into 1
1.771 * [backup-simplify]: Simplify (/ 1 1) into 1
1.771 * [taylor]: Taking taylor expansion of (+ (/ 1 beta) 2.0) in i
1.771 * [taylor]: Taking taylor expansion of (/ 1 beta) in i
1.771 * [taylor]: Taking taylor expansion of beta in i
1.771 * [backup-simplify]: Simplify beta into beta
1.771 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
1.771 * [taylor]: Taking taylor expansion of 2.0 in i
1.771 * [backup-simplify]: Simplify 2.0 into 2.0
1.771 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in i
1.771 * [taylor]: Taking taylor expansion of (/ 1 alpha) in i
1.771 * [taylor]: Taking taylor expansion of alpha in i
1.772 * [backup-simplify]: Simplify alpha into alpha
1.772 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
1.772 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in i
1.772 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in i
1.772 * [taylor]: Taking taylor expansion of 2.0 in i
1.772 * [backup-simplify]: Simplify 2.0 into 2.0
1.772 * [taylor]: Taking taylor expansion of (/ 1 i) in i
1.772 * [taylor]: Taking taylor expansion of i in i
1.772 * [backup-simplify]: Simplify 0 into 0
1.772 * [backup-simplify]: Simplify 1 into 1
1.772 * [backup-simplify]: Simplify (/ 1 1) into 1
1.772 * [taylor]: Taking taylor expansion of (/ 1 beta) in i
1.772 * [taylor]: Taking taylor expansion of beta in i
1.772 * [backup-simplify]: Simplify beta into beta
1.772 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
1.773 * [backup-simplify]: Simplify (+ (/ 1 alpha) (/ 1 beta)) into (+ (/ 1 alpha) (/ 1 beta))
1.773 * [backup-simplify]: Simplify (- (/ 1 alpha)) into (- (/ 1 alpha))
1.773 * [backup-simplify]: Simplify (+ (/ 1 beta) (- (/ 1 alpha))) into (- (/ 1 beta) (/ 1 alpha))
1.773 * [backup-simplify]: Simplify (* (+ (/ 1 alpha) (/ 1 beta)) (- (/ 1 beta) (/ 1 alpha))) into (* (+ (/ 1 alpha) (/ 1 beta)) (- (/ 1 beta) (/ 1 alpha)))
1.774 * [backup-simplify]: Simplify (* 2.0 1) into 2.0
1.774 * [backup-simplify]: Simplify (+ 2.0 0) into 2.0
1.774 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
1.775 * [backup-simplify]: Simplify (* 2.0 1) into 2.0
1.775 * [backup-simplify]: Simplify (+ 2.0 0) into 2.0
1.776 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
1.776 * [backup-simplify]: Simplify (* 2.0 2.0) into 4.0
1.777 * [backup-simplify]: Simplify (/ (* (+ (/ 1 alpha) (/ 1 beta)) (- (/ 1 beta) (/ 1 alpha))) 4.0) into (* 0.25 (* (+ (/ 1 alpha) (/ 1 beta)) (- (/ 1 beta) (/ 1 alpha))))
1.777 * [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
1.777 * [taylor]: Taking taylor expansion of (* (+ (/ 1 alpha) (/ 1 beta)) (- (/ 1 beta) (/ 1 alpha))) in beta
1.777 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (/ 1 beta)) in beta
1.777 * [taylor]: Taking taylor expansion of (/ 1 alpha) in beta
1.777 * [taylor]: Taking taylor expansion of alpha in beta
1.777 * [backup-simplify]: Simplify alpha into alpha
1.777 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
1.777 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
1.777 * [taylor]: Taking taylor expansion of beta in beta
1.777 * [backup-simplify]: Simplify 0 into 0
1.777 * [backup-simplify]: Simplify 1 into 1
1.777 * [backup-simplify]: Simplify (/ 1 1) into 1
1.777 * [taylor]: Taking taylor expansion of (- (/ 1 beta) (/ 1 alpha)) in beta
1.777 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
1.777 * [taylor]: Taking taylor expansion of beta in beta
1.777 * [backup-simplify]: Simplify 0 into 0
1.778 * [backup-simplify]: Simplify 1 into 1
1.778 * [backup-simplify]: Simplify (/ 1 1) into 1
1.778 * [taylor]: Taking taylor expansion of (/ 1 alpha) in beta
1.778 * [taylor]: Taking taylor expansion of alpha in beta
1.778 * [backup-simplify]: Simplify alpha into alpha
1.778 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
1.778 * [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
1.778 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) in beta
1.778 * [taylor]: Taking taylor expansion of (/ 1 alpha) in beta
1.778 * [taylor]: Taking taylor expansion of alpha in beta
1.778 * [backup-simplify]: Simplify alpha into alpha
1.778 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
1.778 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0)) in beta
1.778 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 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 (/ 1 i) in beta
1.778 * [taylor]: Taking taylor expansion of i in beta
1.779 * [backup-simplify]: Simplify i into i
1.779 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
1.779 * [taylor]: Taking taylor expansion of (+ (/ 1 beta) 2.0) in beta
1.779 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
1.779 * [taylor]: Taking taylor expansion of beta in beta
1.779 * [backup-simplify]: Simplify 0 into 0
1.779 * [backup-simplify]: Simplify 1 into 1
1.779 * [backup-simplify]: Simplify (/ 1 1) into 1
1.779 * [taylor]: Taking taylor expansion of 2.0 in beta
1.779 * [backup-simplify]: Simplify 2.0 into 2.0
1.779 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in beta
1.779 * [taylor]: Taking taylor expansion of (/ 1 alpha) in beta
1.779 * [taylor]: Taking taylor expansion of alpha in beta
1.779 * [backup-simplify]: Simplify alpha into alpha
1.779 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
1.779 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in beta
1.779 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in beta
1.779 * [taylor]: Taking taylor expansion of 2.0 in beta
1.780 * [backup-simplify]: Simplify 2.0 into 2.0
1.780 * [taylor]: Taking taylor expansion of (/ 1 i) in beta
1.780 * [taylor]: Taking taylor expansion of i in beta
1.780 * [backup-simplify]: Simplify i into i
1.780 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
1.780 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
1.780 * [taylor]: Taking taylor expansion of beta in beta
1.780 * [backup-simplify]: Simplify 0 into 0
1.780 * [backup-simplify]: Simplify 1 into 1
1.780 * [backup-simplify]: Simplify (/ 1 1) into 1
1.781 * [backup-simplify]: Simplify (+ 0 1) into 1
1.781 * [backup-simplify]: Simplify (+ 1 0) into 1
1.781 * [backup-simplify]: Simplify (* 1 1) into 1
1.782 * [backup-simplify]: Simplify (+ 1 0) into 1
1.782 * [backup-simplify]: Simplify (+ 0 1) into 1
1.783 * [backup-simplify]: Simplify (+ 0 1) into 1
1.783 * [backup-simplify]: Simplify (+ 0 1) into 1
1.784 * [backup-simplify]: Simplify (+ 0 1) into 1
1.784 * [backup-simplify]: Simplify (* 1 1) into 1
1.784 * [backup-simplify]: Simplify (/ 1 1) into 1
1.784 * [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
1.784 * [taylor]: Taking taylor expansion of (* (+ (/ 1 alpha) (/ 1 beta)) (- (/ 1 beta) (/ 1 alpha))) in alpha
1.784 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (/ 1 beta)) in alpha
1.784 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
1.784 * [taylor]: Taking taylor expansion of alpha in alpha
1.784 * [backup-simplify]: Simplify 0 into 0
1.785 * [backup-simplify]: Simplify 1 into 1
1.785 * [backup-simplify]: Simplify (/ 1 1) into 1
1.785 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
1.785 * [taylor]: Taking taylor expansion of beta in alpha
1.785 * [backup-simplify]: Simplify beta into beta
1.785 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
1.785 * [taylor]: Taking taylor expansion of (- (/ 1 beta) (/ 1 alpha)) in alpha
1.785 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
1.785 * [taylor]: Taking taylor expansion of beta in alpha
1.785 * [backup-simplify]: Simplify beta into beta
1.785 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
1.785 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
1.785 * [taylor]: Taking taylor expansion of alpha in alpha
1.785 * [backup-simplify]: Simplify 0 into 0
1.785 * [backup-simplify]: Simplify 1 into 1
1.786 * [backup-simplify]: Simplify (/ 1 1) into 1
1.786 * [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
1.786 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) in alpha
1.786 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
1.786 * [taylor]: Taking taylor expansion of alpha in alpha
1.786 * [backup-simplify]: Simplify 0 into 0
1.786 * [backup-simplify]: Simplify 1 into 1
1.786 * [backup-simplify]: Simplify (/ 1 1) into 1
1.786 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0)) in alpha
1.786 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
1.787 * [taylor]: Taking taylor expansion of 2.0 in alpha
1.787 * [backup-simplify]: Simplify 2.0 into 2.0
1.787 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
1.787 * [taylor]: Taking taylor expansion of i in alpha
1.787 * [backup-simplify]: Simplify i into i
1.787 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
1.787 * [taylor]: Taking taylor expansion of (+ (/ 1 beta) 2.0) in alpha
1.787 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
1.787 * [taylor]: Taking taylor expansion of beta in alpha
1.787 * [backup-simplify]: Simplify beta into beta
1.787 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
1.787 * [taylor]: Taking taylor expansion of 2.0 in alpha
1.787 * [backup-simplify]: Simplify 2.0 into 2.0
1.787 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in alpha
1.787 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
1.787 * [taylor]: Taking taylor expansion of alpha in alpha
1.787 * [backup-simplify]: Simplify 0 into 0
1.787 * [backup-simplify]: Simplify 1 into 1
1.788 * [backup-simplify]: Simplify (/ 1 1) into 1
1.788 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in alpha
1.788 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
1.788 * [taylor]: Taking taylor expansion of 2.0 in alpha
1.788 * [backup-simplify]: Simplify 2.0 into 2.0
1.788 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
1.788 * [taylor]: Taking taylor expansion of i in alpha
1.788 * [backup-simplify]: Simplify i into i
1.788 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
1.788 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
1.788 * [taylor]: Taking taylor expansion of beta in alpha
1.788 * [backup-simplify]: Simplify beta into beta
1.788 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
1.788 * [backup-simplify]: Simplify (+ 1 0) into 1
1.789 * [backup-simplify]: Simplify (- 1) into -1
1.789 * [backup-simplify]: Simplify (+ 0 -1) into -1
1.790 * [backup-simplify]: Simplify (* 1 -1) into -1
1.790 * [backup-simplify]: Simplify (+ 1 0) into 1
1.791 * [backup-simplify]: Simplify (+ 1 0) into 1
1.791 * [backup-simplify]: Simplify (* 1 1) into 1
1.791 * [backup-simplify]: Simplify (/ -1 1) into -1
1.791 * [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
1.791 * [taylor]: Taking taylor expansion of (* (+ (/ 1 alpha) (/ 1 beta)) (- (/ 1 beta) (/ 1 alpha))) in alpha
1.791 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (/ 1 beta)) in alpha
1.791 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
1.792 * [taylor]: Taking taylor expansion of alpha in alpha
1.792 * [backup-simplify]: Simplify 0 into 0
1.792 * [backup-simplify]: Simplify 1 into 1
1.792 * [backup-simplify]: Simplify (/ 1 1) into 1
1.792 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
1.792 * [taylor]: Taking taylor expansion of beta in alpha
1.792 * [backup-simplify]: Simplify beta into beta
1.792 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
1.792 * [taylor]: Taking taylor expansion of (- (/ 1 beta) (/ 1 alpha)) in alpha
1.792 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
1.792 * [taylor]: Taking taylor expansion of beta in alpha
1.792 * [backup-simplify]: Simplify beta into beta
1.792 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
1.792 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
1.792 * [taylor]: Taking taylor expansion of alpha in alpha
1.792 * [backup-simplify]: Simplify 0 into 0
1.792 * [backup-simplify]: Simplify 1 into 1
1.793 * [backup-simplify]: Simplify (/ 1 1) into 1
1.793 * [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
1.793 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) in alpha
1.793 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
1.793 * [taylor]: Taking taylor expansion of alpha in alpha
1.793 * [backup-simplify]: Simplify 0 into 0
1.793 * [backup-simplify]: Simplify 1 into 1
1.793 * [backup-simplify]: Simplify (/ 1 1) into 1
1.793 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0)) in alpha
1.793 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
1.794 * [taylor]: Taking taylor expansion of 2.0 in alpha
1.794 * [backup-simplify]: Simplify 2.0 into 2.0
1.794 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
1.794 * [taylor]: Taking taylor expansion of i in alpha
1.794 * [backup-simplify]: Simplify i into i
1.794 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
1.794 * [taylor]: Taking taylor expansion of (+ (/ 1 beta) 2.0) in alpha
1.794 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
1.794 * [taylor]: Taking taylor expansion of beta in alpha
1.794 * [backup-simplify]: Simplify beta into beta
1.794 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
1.794 * [taylor]: Taking taylor expansion of 2.0 in alpha
1.794 * [backup-simplify]: Simplify 2.0 into 2.0
1.794 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in alpha
1.794 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
1.794 * [taylor]: Taking taylor expansion of alpha in alpha
1.794 * [backup-simplify]: Simplify 0 into 0
1.794 * [backup-simplify]: Simplify 1 into 1
1.795 * [backup-simplify]: Simplify (/ 1 1) into 1
1.795 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in alpha
1.795 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
1.795 * [taylor]: Taking taylor expansion of 2.0 in alpha
1.795 * [backup-simplify]: Simplify 2.0 into 2.0
1.795 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
1.795 * [taylor]: Taking taylor expansion of i in alpha
1.795 * [backup-simplify]: Simplify i into i
1.795 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
1.795 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
1.795 * [taylor]: Taking taylor expansion of beta in alpha
1.795 * [backup-simplify]: Simplify beta into beta
1.795 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
1.796 * [backup-simplify]: Simplify (+ 1 0) into 1
1.796 * [backup-simplify]: Simplify (- 1) into -1
1.797 * [backup-simplify]: Simplify (+ 0 -1) into -1
1.797 * [backup-simplify]: Simplify (* 1 -1) into -1
1.798 * [backup-simplify]: Simplify (+ 1 0) into 1
1.798 * [backup-simplify]: Simplify (+ 1 0) into 1
1.798 * [backup-simplify]: Simplify (* 1 1) into 1
1.799 * [backup-simplify]: Simplify (/ -1 1) into -1
1.799 * [taylor]: Taking taylor expansion of -1 in beta
1.799 * [backup-simplify]: Simplify -1 into -1
1.799 * [taylor]: Taking taylor expansion of -1 in i
1.799 * [backup-simplify]: Simplify -1 into -1
1.799 * [backup-simplify]: Simplify 0 into 0
1.800 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.800 * [backup-simplify]: Simplify (- 0) into 0
1.800 * [backup-simplify]: Simplify (+ (/ 1 beta) 0) into (/ 1 beta)
1.801 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.801 * [backup-simplify]: Simplify (+ 0 (/ 1 beta)) into (/ 1 beta)
1.801 * [backup-simplify]: Simplify (+ (* 1 (/ 1 beta)) (* (/ 1 beta) -1)) into 0
1.802 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.802 * [backup-simplify]: Simplify (* 2.0 (/ 1 i)) into (/ 2.0 i)
1.802 * [backup-simplify]: Simplify (+ (/ 2.0 i) (/ 1 beta)) into (+ (* 2.0 (/ 1 i)) (/ 1 beta))
1.803 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 (/ 1 i)) (/ 1 beta))) into (+ (* 2.0 (/ 1 i)) (/ 1 beta))
1.803 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.803 * [backup-simplify]: Simplify (* 2.0 (/ 1 i)) into (/ 2.0 i)
1.804 * [backup-simplify]: Simplify (+ (/ 1 beta) 2.0) into (+ (/ 1 beta) 2.0)
1.804 * [backup-simplify]: Simplify (+ (/ 2.0 i) (+ (/ 1 beta) 2.0)) into (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))
1.804 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) into (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))
1.804 * [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))
1.805 * [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))
1.805 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 i)) (+ (* 2 (/ 1 beta)) 2.0)) in beta
1.805 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 i)) in beta
1.805 * [taylor]: Taking taylor expansion of 4.0 in beta
1.805 * [backup-simplify]: Simplify 4.0 into 4.0
1.806 * [taylor]: Taking taylor expansion of (/ 1 i) in beta
1.806 * [taylor]: Taking taylor expansion of i in beta
1.806 * [backup-simplify]: Simplify i into i
1.806 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
1.806 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 beta)) 2.0) in beta
1.806 * [taylor]: Taking taylor expansion of (* 2 (/ 1 beta)) in beta
1.806 * [taylor]: Taking taylor expansion of 2 in beta
1.806 * [backup-simplify]: Simplify 2 into 2
1.806 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
1.806 * [taylor]: Taking taylor expansion of beta in beta
1.806 * [backup-simplify]: Simplify 0 into 0
1.806 * [backup-simplify]: Simplify 1 into 1
1.806 * [backup-simplify]: Simplify (/ 1 1) into 1
1.806 * [taylor]: Taking taylor expansion of 2.0 in beta
1.806 * [backup-simplify]: Simplify 2.0 into 2.0
1.806 * [backup-simplify]: Simplify (* 4.0 (/ 1 i)) into (/ 4.0 i)
1.807 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.808 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0
1.808 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
1.808 * [backup-simplify]: Simplify (+ (/ 4.0 i) 2.0) into (+ (* 4.0 (/ 1 i)) 2.0)
1.808 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 i)) 2.0) in i
1.808 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 i)) in i
1.808 * [taylor]: Taking taylor expansion of 4.0 in i
1.809 * [backup-simplify]: Simplify 4.0 into 4.0
1.809 * [taylor]: Taking taylor expansion of (/ 1 i) in i
1.809 * [taylor]: Taking taylor expansion of i in i
1.809 * [backup-simplify]: Simplify 0 into 0
1.809 * [backup-simplify]: Simplify 1 into 1
1.809 * [backup-simplify]: Simplify (/ 1 1) into 1
1.809 * [taylor]: Taking taylor expansion of 2.0 in i
1.809 * [backup-simplify]: Simplify 2.0 into 2.0
1.810 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.811 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.812 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.813 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.813 * [backup-simplify]: Simplify (+ 0 0) into 0
1.813 * [backup-simplify]: Simplify 0 into 0
1.813 * [taylor]: Taking taylor expansion of 0 in i
1.813 * [backup-simplify]: Simplify 0 into 0
1.813 * [backup-simplify]: Simplify 0 into 0
1.813 * [backup-simplify]: Simplify 0 into 0
1.814 * [backup-simplify]: Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
1.814 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.815 * [backup-simplify]: Simplify (- 0) into 0
1.815 * [backup-simplify]: Simplify (+ 0 0) into 0
1.816 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.816 * [backup-simplify]: Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
1.817 * [backup-simplify]: Simplify (+ 0 0) into 0
1.818 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 beta) (/ 1 beta)) (* 0 -1))) into (/ 1 (pow beta 2))
1.818 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.819 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
1.819 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 (/ 1 i))) into 0
1.819 * [backup-simplify]: Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
1.820 * [backup-simplify]: Simplify (+ 0 0) into 0
1.820 * [backup-simplify]: Simplify (+ 0 0) into 0
1.821 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.821 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
1.822 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 (/ 1 i))) into 0
1.822 * [backup-simplify]: Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
1.822 * [backup-simplify]: Simplify (+ 0 0) into 0
1.822 * [backup-simplify]: Simplify (+ 0 0) into 0
1.823 * [backup-simplify]: Simplify (+ 0 0) into 0
1.824 * [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))))))
1.825 * [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))))))
1.825 * [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
1.825 * [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
1.825 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow beta 2))) in beta
1.825 * [taylor]: Taking taylor expansion of 2 in beta
1.825 * [backup-simplify]: Simplify 2 into 2
1.825 * [taylor]: Taking taylor expansion of (/ 1 (pow beta 2)) in beta
1.825 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
1.825 * [taylor]: Taking taylor expansion of beta in beta
1.825 * [backup-simplify]: Simplify 0 into 0
1.825 * [backup-simplify]: Simplify 1 into 1
1.826 * [backup-simplify]: Simplify (* 1 1) into 1
1.826 * [backup-simplify]: Simplify (/ 1 1) into 1
1.826 * [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
1.826 * [taylor]: Taking taylor expansion of (* 12.0 (/ 1 (* i beta))) in beta
1.826 * [taylor]: Taking taylor expansion of 12.0 in beta
1.826 * [backup-simplify]: Simplify 12.0 into 12.0
1.826 * [taylor]: Taking taylor expansion of (/ 1 (* i beta)) in beta
1.826 * [taylor]: Taking taylor expansion of (* i beta) in beta
1.826 * [taylor]: Taking taylor expansion of i in beta
1.826 * [backup-simplify]: Simplify i into i
1.826 * [taylor]: Taking taylor expansion of beta in beta
1.826 * [backup-simplify]: Simplify 0 into 0
1.826 * [backup-simplify]: Simplify 1 into 1
1.826 * [backup-simplify]: Simplify (* i 0) into 0
1.826 * [backup-simplify]: Simplify (+ (* i 1) (* 0 0)) into i
1.827 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
1.827 * [taylor]: Taking taylor expansion of (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 12.0 (/ 1 i)) (+ (* 6.0 (/ 1 beta)) 4.0))) in beta
1.827 * [taylor]: Taking taylor expansion of (* 12.0 (/ 1 (pow i 2))) in beta
1.827 * [taylor]: Taking taylor expansion of 12.0 in beta
1.827 * [backup-simplify]: Simplify 12.0 into 12.0
1.827 * [taylor]: Taking taylor expansion of (/ 1 (pow i 2)) in beta
1.827 * [taylor]: Taking taylor expansion of (pow i 2) in beta
1.827 * [taylor]: Taking taylor expansion of i in beta
1.827 * [backup-simplify]: Simplify i into i
1.827 * [backup-simplify]: Simplify (* i i) into (pow i 2)
1.827 * [backup-simplify]: Simplify (/ 1 (pow i 2)) into (/ 1 (pow i 2))
1.827 * [taylor]: Taking taylor expansion of (+ (* 12.0 (/ 1 i)) (+ (* 6.0 (/ 1 beta)) 4.0)) in beta
1.827 * [taylor]: Taking taylor expansion of (* 12.0 (/ 1 i)) in beta
1.827 * [taylor]: Taking taylor expansion of 12.0 in beta
1.827 * [backup-simplify]: Simplify 12.0 into 12.0
1.827 * [taylor]: Taking taylor expansion of (/ 1 i) in beta
1.827 * [taylor]: Taking taylor expansion of i in beta
1.827 * [backup-simplify]: Simplify i into i
1.827 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
1.827 * [taylor]: Taking taylor expansion of (+ (* 6.0 (/ 1 beta)) 4.0) in beta
1.827 * [taylor]: Taking taylor expansion of (* 6.0 (/ 1 beta)) in beta
1.827 * [taylor]: Taking taylor expansion of 6.0 in beta
1.827 * [backup-simplify]: Simplify 6.0 into 6.0
1.827 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
1.827 * [taylor]: Taking taylor expansion of beta in beta
1.827 * [backup-simplify]: Simplify 0 into 0
1.827 * [backup-simplify]: Simplify 1 into 1
1.827 * [backup-simplify]: Simplify (/ 1 1) into 1
1.827 * [taylor]: Taking taylor expansion of 4.0 in beta
1.827 * [backup-simplify]: Simplify 4.0 into 4.0
1.828 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.828 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.829 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.829 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.830 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0
1.830 * [backup-simplify]: Simplify (+ (* i 0) (+ (* 0 1) (* 0 0))) into 0
1.830 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
1.831 * [backup-simplify]: Simplify (+ (* 12.0 0) (* 0 (/ 1 i))) into 0
1.831 * [backup-simplify]: Simplify (* 12.0 (/ 1 (pow i 2))) into (/ 12.0 (pow i 2))
1.831 * [backup-simplify]: Simplify (* 12.0 (/ 1 i)) into (/ 12.0 i)
1.831 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.832 * [backup-simplify]: Simplify (+ (* 6.0 0) (* 0 1)) into 0
1.832 * [backup-simplify]: Simplify (+ 0 4.0) into 4.0
1.832 * [backup-simplify]: Simplify (+ (/ 12.0 i) 4.0) into (+ (* 12.0 (/ 1 i)) 4.0)
1.832 * [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))
1.833 * [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))
1.833 * [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))
1.833 * [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)))
1.833 * [taylor]: Taking taylor expansion of (- (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 12.0 (/ 1 i)) 4.0))) in i
1.833 * [taylor]: Taking taylor expansion of (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 12.0 (/ 1 i)) 4.0)) in i
1.833 * [taylor]: Taking taylor expansion of (* 12.0 (/ 1 (pow i 2))) in i
1.833 * [taylor]: Taking taylor expansion of 12.0 in i
1.833 * [backup-simplify]: Simplify 12.0 into 12.0
1.833 * [taylor]: Taking taylor expansion of (/ 1 (pow i 2)) in i
1.833 * [taylor]: Taking taylor expansion of (pow i 2) in i
1.833 * [taylor]: Taking taylor expansion of i in i
1.833 * [backup-simplify]: Simplify 0 into 0
1.833 * [backup-simplify]: Simplify 1 into 1
1.833 * [backup-simplify]: Simplify (* 1 1) into 1
1.834 * [backup-simplify]: Simplify (/ 1 1) into 1
1.834 * [taylor]: Taking taylor expansion of (+ (* 12.0 (/ 1 i)) 4.0) in i
1.834 * [taylor]: Taking taylor expansion of (* 12.0 (/ 1 i)) in i
1.834 * [taylor]: Taking taylor expansion of 12.0 in i
1.834 * [backup-simplify]: Simplify 12.0 into 12.0
1.834 * [taylor]: Taking taylor expansion of (/ 1 i) in i
1.834 * [taylor]: Taking taylor expansion of i in i
1.834 * [backup-simplify]: Simplify 0 into 0
1.834 * [backup-simplify]: Simplify 1 into 1
1.834 * [backup-simplify]: Simplify (/ 1 1) into 1
1.834 * [taylor]: Taking taylor expansion of 4.0 in i
1.834 * [backup-simplify]: Simplify 4.0 into 4.0
1.835 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
1.835 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.836 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.836 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.837 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.837 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.838 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.839 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.839 * [backup-simplify]: Simplify (+ (* 12.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
1.840 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.840 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.841 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.842 * [backup-simplify]: Simplify (+ (* 12.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.842 * [backup-simplify]: Simplify (+ 0 0) into 0
1.842 * [backup-simplify]: Simplify (+ 0 0) into 0
1.842 * [backup-simplify]: Simplify (- 0) into 0
1.842 * [backup-simplify]: Simplify 0 into 0
1.842 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
1.843 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 i))) into 0
1.843 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.844 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0
1.844 * [backup-simplify]: Simplify (+ 0 0) into 0
1.844 * [backup-simplify]: Simplify (+ 0 0) into 0
1.844 * [taylor]: Taking taylor expansion of 0 in i
1.844 * [backup-simplify]: Simplify 0 into 0
1.844 * [backup-simplify]: Simplify 0 into 0
1.844 * [backup-simplify]: Simplify 0 into 0
1.845 * [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)))))
1.845 * [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
1.845 * [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
1.845 * [taylor]: Taking taylor expansion of (* (- (/ 1 alpha) (/ 1 beta)) (+ (/ 1 alpha) (/ 1 beta))) in i
1.845 * [taylor]: Taking taylor expansion of (- (/ 1 alpha) (/ 1 beta)) in i
1.845 * [taylor]: Taking taylor expansion of (/ 1 alpha) in i
1.845 * [taylor]: Taking taylor expansion of alpha in i
1.845 * [backup-simplify]: Simplify alpha into alpha
1.845 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
1.845 * [taylor]: Taking taylor expansion of (/ 1 beta) in i
1.845 * [taylor]: Taking taylor expansion of beta in i
1.845 * [backup-simplify]: Simplify beta into beta
1.845 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
1.845 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (/ 1 beta)) in i
1.845 * [taylor]: Taking taylor expansion of (/ 1 alpha) in i
1.845 * [taylor]: Taking taylor expansion of alpha in i
1.845 * [backup-simplify]: Simplify alpha into alpha
1.845 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
1.846 * [taylor]: Taking taylor expansion of (/ 1 beta) in i
1.846 * [taylor]: Taking taylor expansion of beta in i
1.846 * [backup-simplify]: Simplify beta into beta
1.846 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
1.846 * [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
1.846 * [taylor]: Taking taylor expansion of (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) in i
1.846 * [taylor]: Taking taylor expansion of 2.0 in i
1.846 * [backup-simplify]: Simplify 2.0 into 2.0
1.846 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in i
1.846 * [taylor]: Taking taylor expansion of (/ 1 alpha) in i
1.846 * [taylor]: Taking taylor expansion of alpha in i
1.846 * [backup-simplify]: Simplify alpha into alpha
1.846 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
1.846 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in i
1.846 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in i
1.846 * [taylor]: Taking taylor expansion of 2.0 in i
1.846 * [backup-simplify]: Simplify 2.0 into 2.0
1.846 * [taylor]: Taking taylor expansion of (/ 1 i) in i
1.846 * [taylor]: Taking taylor expansion of i in i
1.846 * [backup-simplify]: Simplify 0 into 0
1.846 * [backup-simplify]: Simplify 1 into 1
1.846 * [backup-simplify]: Simplify (/ 1 1) into 1
1.846 * [taylor]: Taking taylor expansion of (/ 1 beta) in i
1.846 * [taylor]: Taking taylor expansion of beta in i
1.846 * [backup-simplify]: Simplify beta into beta
1.846 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
1.846 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in i
1.846 * [taylor]: Taking taylor expansion of (/ 1 alpha) in i
1.846 * [taylor]: Taking taylor expansion of alpha in i
1.846 * [backup-simplify]: Simplify alpha into alpha
1.846 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
1.846 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in i
1.846 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in i
1.846 * [taylor]: Taking taylor expansion of 2.0 in i
1.846 * [backup-simplify]: Simplify 2.0 into 2.0
1.846 * [taylor]: Taking taylor expansion of (/ 1 i) in i
1.846 * [taylor]: Taking taylor expansion of i in i
1.846 * [backup-simplify]: Simplify 0 into 0
1.847 * [backup-simplify]: Simplify 1 into 1
1.847 * [backup-simplify]: Simplify (/ 1 1) into 1
1.847 * [taylor]: Taking taylor expansion of (/ 1 beta) in i
1.847 * [taylor]: Taking taylor expansion of beta in i
1.847 * [backup-simplify]: Simplify beta into beta
1.847 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
1.847 * [backup-simplify]: Simplify (- (/ 1 beta)) into (- (/ 1 beta))
1.847 * [backup-simplify]: Simplify (+ (/ 1 alpha) (- (/ 1 beta))) into (- (/ 1 alpha) (/ 1 beta))
1.847 * [backup-simplify]: Simplify (+ (/ 1 alpha) (/ 1 beta)) into (+ (/ 1 alpha) (/ 1 beta))
1.847 * [backup-simplify]: Simplify (* (- (/ 1 alpha) (/ 1 beta)) (+ (/ 1 alpha) (/ 1 beta))) into (* (- (/ 1 alpha) (/ 1 beta)) (+ (/ 1 alpha) (/ 1 beta)))
1.848 * [backup-simplify]: Simplify (* 2.0 1) into 2.0
1.848 * [backup-simplify]: Simplify (+ 2.0 0) into 2.0
1.848 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
1.848 * [backup-simplify]: Simplify (- 2.0) into (- 2.0)
1.849 * [backup-simplify]: Simplify (+ 0 (- 2.0)) into (- 2.0)
1.849 * [backup-simplify]: Simplify (* 2.0 1) into 2.0
1.849 * [backup-simplify]: Simplify (+ 2.0 0) into 2.0
1.850 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
1.850 * [backup-simplify]: Simplify (* (- 2.0) 2.0) into -4.0
1.850 * [backup-simplify]: Simplify (/ (* (- (/ 1 alpha) (/ 1 beta)) (+ (/ 1 alpha) (/ 1 beta))) -4.0) into (* -0.25 (* (- (/ 1 alpha) (/ 1 beta)) (+ (/ 1 alpha) (/ 1 beta))))
1.850 * [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
1.850 * [taylor]: Taking taylor expansion of (* (- (/ 1 alpha) (/ 1 beta)) (+ (/ 1 alpha) (/ 1 beta))) in beta
1.850 * [taylor]: Taking taylor expansion of (- (/ 1 alpha) (/ 1 beta)) in beta
1.850 * [taylor]: Taking taylor expansion of (/ 1 alpha) in beta
1.850 * [taylor]: Taking taylor expansion of alpha in beta
1.851 * [backup-simplify]: Simplify alpha into alpha
1.851 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
1.851 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
1.851 * [taylor]: Taking taylor expansion of beta in beta
1.851 * [backup-simplify]: Simplify 0 into 0
1.851 * [backup-simplify]: Simplify 1 into 1
1.851 * [backup-simplify]: Simplify (/ 1 1) into 1
1.851 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (/ 1 beta)) in beta
1.851 * [taylor]: Taking taylor expansion of (/ 1 alpha) in beta
1.851 * [taylor]: Taking taylor expansion of alpha in beta
1.851 * [backup-simplify]: Simplify alpha into alpha
1.851 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
1.851 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
1.851 * [taylor]: Taking taylor expansion of beta in beta
1.851 * [backup-simplify]: Simplify 0 into 0
1.851 * [backup-simplify]: Simplify 1 into 1
1.851 * [backup-simplify]: Simplify (/ 1 1) into 1
1.851 * [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
1.851 * [taylor]: Taking taylor expansion of (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) in beta
1.851 * [taylor]: Taking taylor expansion of 2.0 in beta
1.851 * [backup-simplify]: Simplify 2.0 into 2.0
1.851 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in beta
1.851 * [taylor]: Taking taylor expansion of (/ 1 alpha) in beta
1.851 * [taylor]: Taking taylor expansion of alpha in beta
1.851 * [backup-simplify]: Simplify alpha into alpha
1.851 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
1.852 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in beta
1.852 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 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 (/ 1 i) in beta
1.852 * [taylor]: Taking taylor expansion of i in beta
1.852 * [backup-simplify]: Simplify i into i
1.852 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
1.852 * [taylor]: Taking taylor expansion of (/ 1 beta) 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 * [backup-simplify]: Simplify (/ 1 1) into 1
1.852 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in beta
1.852 * [taylor]: Taking taylor expansion of (/ 1 alpha) in beta
1.852 * [taylor]: Taking taylor expansion of alpha in beta
1.852 * [backup-simplify]: Simplify alpha into alpha
1.852 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
1.852 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in beta
1.852 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 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 (/ 1 i) in beta
1.852 * [taylor]: Taking taylor expansion of i in beta
1.852 * [backup-simplify]: Simplify i into i
1.852 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
1.852 * [taylor]: Taking taylor expansion of (/ 1 beta) 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
1.853 * [backup-simplify]: Simplify (/ 1 1) into 1
1.853 * [backup-simplify]: Simplify (- 1) into -1
1.853 * [backup-simplify]: Simplify (+ 0 -1) into -1
1.853 * [backup-simplify]: Simplify (+ 0 1) into 1
1.854 * [backup-simplify]: Simplify (* -1 1) into -1
1.854 * [backup-simplify]: Simplify (+ 0 1) into 1
1.854 * [backup-simplify]: Simplify (+ 0 1) into 1
1.854 * [backup-simplify]: Simplify (- 1) into -1
1.855 * [backup-simplify]: Simplify (+ 0 -1) into -1
1.855 * [backup-simplify]: Simplify (+ 0 1) into 1
1.855 * [backup-simplify]: Simplify (+ 0 1) into 1
1.856 * [backup-simplify]: Simplify (* -1 1) into -1
1.856 * [backup-simplify]: Simplify (/ -1 -1) into 1
1.856 * [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
1.856 * [taylor]: Taking taylor expansion of (* (- (/ 1 alpha) (/ 1 beta)) (+ (/ 1 alpha) (/ 1 beta))) in alpha
1.856 * [taylor]: Taking taylor expansion of (- (/ 1 alpha) (/ 1 beta)) in alpha
1.856 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
1.856 * [taylor]: Taking taylor expansion of alpha in alpha
1.856 * [backup-simplify]: Simplify 0 into 0
1.856 * [backup-simplify]: Simplify 1 into 1
1.856 * [backup-simplify]: Simplify (/ 1 1) into 1
1.856 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
1.856 * [taylor]: Taking taylor expansion of beta in alpha
1.856 * [backup-simplify]: Simplify beta into beta
1.856 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
1.856 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (/ 1 beta)) in alpha
1.856 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
1.857 * [taylor]: Taking taylor expansion of alpha in alpha
1.857 * [backup-simplify]: Simplify 0 into 0
1.857 * [backup-simplify]: Simplify 1 into 1
1.857 * [backup-simplify]: Simplify (/ 1 1) into 1
1.857 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
1.857 * [taylor]: Taking taylor expansion of beta in alpha
1.857 * [backup-simplify]: Simplify beta into beta
1.857 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
1.857 * [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
1.857 * [taylor]: Taking taylor expansion of (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) in alpha
1.857 * [taylor]: Taking taylor expansion of 2.0 in alpha
1.857 * [backup-simplify]: Simplify 2.0 into 2.0
1.857 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in alpha
1.857 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
1.857 * [taylor]: Taking taylor expansion of alpha in alpha
1.857 * [backup-simplify]: Simplify 0 into 0
1.857 * [backup-simplify]: Simplify 1 into 1
1.857 * [backup-simplify]: Simplify (/ 1 1) into 1
1.857 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in alpha
1.857 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
1.857 * [taylor]: Taking taylor expansion of 2.0 in alpha
1.857 * [backup-simplify]: Simplify 2.0 into 2.0
1.857 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
1.857 * [taylor]: Taking taylor expansion of i in alpha
1.857 * [backup-simplify]: Simplify i into i
1.857 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
1.857 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
1.857 * [taylor]: Taking taylor expansion of beta in alpha
1.857 * [backup-simplify]: Simplify beta into beta
1.858 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
1.858 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in alpha
1.858 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
1.858 * [taylor]: Taking taylor expansion of alpha in alpha
1.858 * [backup-simplify]: Simplify 0 into 0
1.858 * [backup-simplify]: Simplify 1 into 1
1.858 * [backup-simplify]: Simplify (/ 1 1) into 1
1.858 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in alpha
1.858 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
1.858 * [taylor]: Taking taylor expansion of 2.0 in alpha
1.858 * [backup-simplify]: Simplify 2.0 into 2.0
1.858 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
1.858 * [taylor]: Taking taylor expansion of i in alpha
1.858 * [backup-simplify]: Simplify i into i
1.858 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
1.858 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
1.858 * [taylor]: Taking taylor expansion of beta in alpha
1.858 * [backup-simplify]: Simplify beta into beta
1.858 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
1.858 * [backup-simplify]: Simplify (+ 1 0) into 1
1.859 * [backup-simplify]: Simplify (+ 1 0) into 1
1.859 * [backup-simplify]: Simplify (* 1 1) into 1
1.859 * [backup-simplify]: Simplify (+ 1 0) into 1
1.859 * [backup-simplify]: Simplify (- 1) into -1
1.860 * [backup-simplify]: Simplify (+ 0 -1) into -1
1.860 * [backup-simplify]: Simplify (+ 1 0) into 1
1.860 * [backup-simplify]: Simplify (* -1 1) into -1
1.861 * [backup-simplify]: Simplify (/ 1 -1) into -1
1.861 * [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
1.861 * [taylor]: Taking taylor expansion of (* (- (/ 1 alpha) (/ 1 beta)) (+ (/ 1 alpha) (/ 1 beta))) in alpha
1.861 * [taylor]: Taking taylor expansion of (- (/ 1 alpha) (/ 1 beta)) in alpha
1.861 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
1.861 * [taylor]: Taking taylor expansion of alpha in alpha
1.861 * [backup-simplify]: Simplify 0 into 0
1.861 * [backup-simplify]: Simplify 1 into 1
1.861 * [backup-simplify]: Simplify (/ 1 1) into 1
1.861 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
1.861 * [taylor]: Taking taylor expansion of beta in alpha
1.861 * [backup-simplify]: Simplify beta into beta
1.861 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
1.861 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (/ 1 beta)) in alpha
1.861 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
1.861 * [taylor]: Taking taylor expansion of alpha in alpha
1.861 * [backup-simplify]: Simplify 0 into 0
1.861 * [backup-simplify]: Simplify 1 into 1
1.861 * [backup-simplify]: Simplify (/ 1 1) into 1
1.861 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
1.862 * [taylor]: Taking taylor expansion of beta in alpha
1.862 * [backup-simplify]: Simplify beta into beta
1.862 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
1.862 * [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
1.862 * [taylor]: Taking taylor expansion of (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) in alpha
1.862 * [taylor]: Taking taylor expansion of 2.0 in alpha
1.862 * [backup-simplify]: Simplify 2.0 into 2.0
1.862 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in alpha
1.862 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
1.862 * [taylor]: Taking taylor expansion of alpha in alpha
1.862 * [backup-simplify]: Simplify 0 into 0
1.862 * [backup-simplify]: Simplify 1 into 1
1.862 * [backup-simplify]: Simplify (/ 1 1) into 1
1.862 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in alpha
1.862 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
1.862 * [taylor]: Taking taylor expansion of 2.0 in alpha
1.862 * [backup-simplify]: Simplify 2.0 into 2.0
1.862 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
1.862 * [taylor]: Taking taylor expansion of i in alpha
1.862 * [backup-simplify]: Simplify i into i
1.862 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
1.862 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
1.862 * [taylor]: Taking taylor expansion of beta in alpha
1.862 * [backup-simplify]: Simplify beta into beta
1.862 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
1.862 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in alpha
1.862 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
1.862 * [taylor]: Taking taylor expansion of alpha in alpha
1.862 * [backup-simplify]: Simplify 0 into 0
1.862 * [backup-simplify]: Simplify 1 into 1
1.863 * [backup-simplify]: Simplify (/ 1 1) into 1
1.863 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in alpha
1.863 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
1.863 * [taylor]: Taking taylor expansion of 2.0 in alpha
1.863 * [backup-simplify]: Simplify 2.0 into 2.0
1.863 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
1.863 * [taylor]: Taking taylor expansion of i in alpha
1.863 * [backup-simplify]: Simplify i into i
1.863 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
1.863 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
1.863 * [taylor]: Taking taylor expansion of beta in alpha
1.863 * [backup-simplify]: Simplify beta into beta
1.863 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
1.863 * [backup-simplify]: Simplify (+ 1 0) into 1
1.863 * [backup-simplify]: Simplify (+ 1 0) into 1
1.864 * [backup-simplify]: Simplify (* 1 1) into 1
1.864 * [backup-simplify]: Simplify (+ 1 0) into 1
1.864 * [backup-simplify]: Simplify (- 1) into -1
1.864 * [backup-simplify]: Simplify (+ 0 -1) into -1
1.865 * [backup-simplify]: Simplify (+ 1 0) into 1
1.865 * [backup-simplify]: Simplify (* -1 1) into -1
1.865 * [backup-simplify]: Simplify (/ 1 -1) into -1
1.865 * [taylor]: Taking taylor expansion of -1 in beta
1.865 * [backup-simplify]: Simplify -1 into -1
1.865 * [taylor]: Taking taylor expansion of -1 in i
1.865 * [backup-simplify]: Simplify -1 into -1
1.865 * [backup-simplify]: Simplify 0 into 0
1.866 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.866 * [backup-simplify]: Simplify (+ 0 (/ 1 beta)) into (/ 1 beta)
1.866 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.866 * [backup-simplify]: Simplify (- (/ 1 beta)) into (- (/ 1 beta))
1.866 * [backup-simplify]: Simplify (+ 0 (- (/ 1 beta))) into (- (/ 1 beta))
1.867 * [backup-simplify]: Simplify (+ (* 1 (/ 1 beta)) (* (- (/ 1 beta)) 1)) into 0
1.867 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.867 * [backup-simplify]: Simplify (* 2.0 (/ 1 i)) into (/ 2.0 i)
1.867 * [backup-simplify]: Simplify (+ (/ 2.0 i) (/ 1 beta)) into (+ (* 2.0 (/ 1 i)) (/ 1 beta))
1.867 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 (/ 1 i)) (/ 1 beta))) into (+ (* 2.0 (/ 1 i)) (/ 1 beta))
1.868 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.868 * [backup-simplify]: Simplify (* 2.0 (/ 1 i)) into (/ 2.0 i)
1.868 * [backup-simplify]: Simplify (+ (/ 2.0 i) (/ 1 beta)) into (+ (* 2.0 (/ 1 i)) (/ 1 beta))
1.868 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 (/ 1 i)) (/ 1 beta))) into (+ (* 2.0 (/ 1 i)) (/ 1 beta))
1.868 * [backup-simplify]: Simplify (- (+ (* 2.0 (/ 1 i)) (/ 1 beta))) into (- (+ (* 2.0 (/ 1 i)) (/ 1 beta)))
1.868 * [backup-simplify]: Simplify (+ 2.0 (- (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) into (- 2.0 (+ (* 2.0 (/ 1 i)) (/ 1 beta)))
1.869 * [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))))
1.869 * [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)
1.869 * [taylor]: Taking taylor expansion of (- (+ (* 4.0 (/ 1 i)) (* 2 (/ 1 beta))) 2.0) in beta
1.869 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 i)) (* 2 (/ 1 beta))) in beta
1.869 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 i)) in beta
1.869 * [taylor]: Taking taylor expansion of 4.0 in beta
1.869 * [backup-simplify]: Simplify 4.0 into 4.0
1.869 * [taylor]: Taking taylor expansion of (/ 1 i) in beta
1.869 * [taylor]: Taking taylor expansion of i in beta
1.869 * [backup-simplify]: Simplify i into i
1.869 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
1.869 * [taylor]: Taking taylor expansion of (* 2 (/ 1 beta)) in beta
1.869 * [taylor]: Taking taylor expansion of 2 in beta
1.869 * [backup-simplify]: Simplify 2 into 2
1.870 * [taylor]: Taking taylor expansion of (/ 1 beta) 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 * [backup-simplify]: Simplify (/ 1 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 (* 4.0 (/ 1 i)) into (/ 4.0 i)
1.870 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.871 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0
1.871 * [backup-simplify]: Simplify (+ (/ 4.0 i) 0) into (* 4.0 (/ 1 i))
1.871 * [backup-simplify]: Simplify (- 2.0) into (- 2.0)
1.871 * [backup-simplify]: Simplify (+ (* 4.0 (/ 1 i)) (- 2.0)) into (- (* 4.0 (/ 1 i)) 2.0)
1.871 * [taylor]: Taking taylor expansion of (- (* 4.0 (/ 1 i)) 2.0) in i
1.871 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 i)) in i
1.872 * [taylor]: Taking taylor expansion of 4.0 in i
1.872 * [backup-simplify]: Simplify 4.0 into 4.0
1.872 * [taylor]: Taking taylor expansion of (/ 1 i) in i
1.872 * [taylor]: Taking taylor expansion of i in i
1.872 * [backup-simplify]: Simplify 0 into 0
1.872 * [backup-simplify]: Simplify 1 into 1
1.872 * [backup-simplify]: Simplify (/ 1 1) into 1
1.872 * [taylor]: Taking taylor expansion of 2.0 in i
1.872 * [backup-simplify]: Simplify 2.0 into 2.0
1.872 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.873 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.873 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.878 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.879 * [backup-simplify]: Simplify (- 0) into 0
1.879 * [backup-simplify]: Simplify (+ 0 0) into 0
1.879 * [backup-simplify]: Simplify 0 into 0
1.879 * [taylor]: Taking taylor expansion of 0 in i
1.879 * [backup-simplify]: Simplify 0 into 0
1.879 * [backup-simplify]: Simplify 0 into 0
1.879 * [backup-simplify]: Simplify 0 into 0
1.880 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.880 * [backup-simplify]: Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
1.880 * [backup-simplify]: Simplify (+ 0 0) into 0
1.880 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.881 * [backup-simplify]: Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
1.881 * [backup-simplify]: Simplify (- 0) into 0
1.881 * [backup-simplify]: Simplify (+ 0 0) into 0
1.882 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- (/ 1 beta)) (/ 1 beta)) (* 0 1))) into (- (/ 1 (pow beta 2)))
1.882 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.882 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
1.883 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 (/ 1 i))) into 0
1.883 * [backup-simplify]: Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
1.883 * [backup-simplify]: Simplify (+ 0 0) into 0
1.883 * [backup-simplify]: Simplify (+ 0 0) into 0
1.884 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.884 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
1.884 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 (/ 1 i))) into 0
1.884 * [backup-simplify]: Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
1.884 * [backup-simplify]: Simplify (+ 0 0) into 0
1.885 * [backup-simplify]: Simplify (+ 0 0) into 0
1.885 * [backup-simplify]: Simplify (- 0) into 0
1.885 * [backup-simplify]: Simplify (+ 0 0) into 0
1.886 * [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)))))
1.887 * [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))))
1.887 * [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
1.888 * [taylor]: Taking taylor expansion of (+ (* 6.0 (/ 1 beta)) (* 12.0 (/ 1 i))) in beta
1.888 * [taylor]: Taking taylor expansion of (* 6.0 (/ 1 beta)) in beta
1.888 * [taylor]: Taking taylor expansion of 6.0 in beta
1.888 * [backup-simplify]: Simplify 6.0 into 6.0
1.888 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
1.888 * [taylor]: Taking taylor expansion of beta in beta
1.888 * [backup-simplify]: Simplify 0 into 0
1.888 * [backup-simplify]: Simplify 1 into 1
1.888 * [backup-simplify]: Simplify (/ 1 1) into 1
1.888 * [taylor]: Taking taylor expansion of (* 12.0 (/ 1 i)) in beta
1.888 * [taylor]: Taking taylor expansion of 12.0 in beta
1.888 * [backup-simplify]: Simplify 12.0 into 12.0
1.888 * [taylor]: Taking taylor expansion of (/ 1 i) in beta
1.888 * [taylor]: Taking taylor expansion of i in beta
1.888 * [backup-simplify]: Simplify i into i
1.888 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
1.888 * [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
1.888 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow beta 2))) in beta
1.888 * [taylor]: Taking taylor expansion of 2 in beta
1.888 * [backup-simplify]: Simplify 2 into 2
1.889 * [taylor]: Taking taylor expansion of (/ 1 (pow beta 2)) in beta
1.889 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
1.889 * [taylor]: Taking taylor expansion of beta in beta
1.889 * [backup-simplify]: Simplify 0 into 0
1.889 * [backup-simplify]: Simplify 1 into 1
1.889 * [backup-simplify]: Simplify (* 1 1) into 1
1.889 * [backup-simplify]: Simplify (/ 1 1) into 1
1.889 * [taylor]: Taking taylor expansion of (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 12.0 (/ 1 (* i beta))) 4.0)) in beta
1.889 * [taylor]: Taking taylor expansion of (* 12.0 (/ 1 (pow i 2))) in beta
1.889 * [taylor]: Taking taylor expansion of 12.0 in beta
1.890 * [backup-simplify]: Simplify 12.0 into 12.0
1.890 * [taylor]: Taking taylor expansion of (/ 1 (pow i 2)) in beta
1.890 * [taylor]: Taking taylor expansion of (pow i 2) in beta
1.890 * [taylor]: Taking taylor expansion of i in beta
1.890 * [backup-simplify]: Simplify i into i
1.890 * [backup-simplify]: Simplify (* i i) into (pow i 2)
1.890 * [backup-simplify]: Simplify (/ 1 (pow i 2)) into (/ 1 (pow i 2))
1.890 * [taylor]: Taking taylor expansion of (+ (* 12.0 (/ 1 (* i beta))) 4.0) in beta
1.890 * [taylor]: Taking taylor expansion of (* 12.0 (/ 1 (* i beta))) in beta
1.890 * [taylor]: Taking taylor expansion of 12.0 in beta
1.890 * [backup-simplify]: Simplify 12.0 into 12.0
1.890 * [taylor]: Taking taylor expansion of (/ 1 (* i beta)) in beta
1.890 * [taylor]: Taking taylor expansion of (* i beta) in beta
1.890 * [taylor]: Taking taylor expansion of i in beta
1.890 * [backup-simplify]: Simplify i into i
1.890 * [taylor]: Taking taylor expansion of beta in beta
1.890 * [backup-simplify]: Simplify 0 into 0
1.890 * [backup-simplify]: Simplify 1 into 1
1.890 * [backup-simplify]: Simplify (* i 0) into 0
1.891 * [backup-simplify]: Simplify (+ (* i 1) (* 0 0)) into i
1.891 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
1.891 * [taylor]: Taking taylor expansion of 4.0 in beta
1.891 * [backup-simplify]: Simplify 4.0 into 4.0
1.891 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.892 * [backup-simplify]: Simplify (+ (* 6.0 0) (* 0 1)) into 0
1.892 * [backup-simplify]: Simplify (* 12.0 (/ 1 i)) into (/ 12.0 i)
1.892 * [backup-simplify]: Simplify (+ 0 (/ 12.0 i)) into (* 12.0 (/ 1 i))
1.893 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.894 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.894 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.895 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.896 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0
1.896 * [backup-simplify]: Simplify (* 12.0 (/ 1 (pow i 2))) into (/ 12.0 (pow i 2))
1.897 * [backup-simplify]: Simplify (+ (* i 0) (+ (* 0 1) (* 0 0))) into 0
1.897 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
1.897 * [backup-simplify]: Simplify (+ (* 12.0 0) (* 0 (/ 1 i))) into 0
1.898 * [backup-simplify]: Simplify (+ 0 4.0) into 4.0
1.898 * [backup-simplify]: Simplify (+ (/ 12.0 (pow i 2)) 4.0) into (+ (* 12.0 (/ 1 (pow i 2))) 4.0)
1.898 * [backup-simplify]: Simplify (+ 0 (+ (* 12.0 (/ 1 (pow i 2))) 4.0)) into (+ (* 12.0 (/ 1 (pow i 2))) 4.0)
1.899 * [backup-simplify]: Simplify (- (+ (* 12.0 (/ 1 (pow i 2))) 4.0)) into (- (+ (* 12.0 (/ 1 (pow i 2))) 4.0))
1.899 * [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))
1.899 * [taylor]: Taking taylor expansion of (- (* 12.0 (/ 1 i)) (+ (* 12.0 (/ 1 (pow i 2))) 4.0)) in i
1.899 * [taylor]: Taking taylor expansion of (* 12.0 (/ 1 i)) in i
1.899 * [taylor]: Taking taylor expansion of 12.0 in i
1.899 * [backup-simplify]: Simplify 12.0 into 12.0
1.899 * [taylor]: Taking taylor expansion of (/ 1 i) in i
1.899 * [taylor]: Taking taylor expansion of i in i
1.899 * [backup-simplify]: Simplify 0 into 0
1.899 * [backup-simplify]: Simplify 1 into 1
1.900 * [backup-simplify]: Simplify (/ 1 1) into 1
1.900 * [taylor]: Taking taylor expansion of (+ (* 12.0 (/ 1 (pow i 2))) 4.0) in i
1.900 * [taylor]: Taking taylor expansion of (* 12.0 (/ 1 (pow i 2))) in i
1.900 * [taylor]: Taking taylor expansion of 12.0 in i
1.900 * [backup-simplify]: Simplify 12.0 into 12.0
1.900 * [taylor]: Taking taylor expansion of (/ 1 (pow i 2)) in i
1.900 * [taylor]: Taking taylor expansion of (pow i 2) in i
1.900 * [taylor]: Taking taylor expansion of i in i
1.900 * [backup-simplify]: Simplify 0 into 0
1.900 * [backup-simplify]: Simplify 1 into 1
1.900 * [backup-simplify]: Simplify (* 1 1) into 1
1.900 * [backup-simplify]: Simplify (/ 1 1) into 1
1.900 * [taylor]: Taking taylor expansion of 4.0 in i
1.900 * [backup-simplify]: Simplify 4.0 into 4.0
1.901 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.901 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.902 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.902 * [backup-simplify]: Simplify (+ (* 12.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.903 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
1.904 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.904 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.905 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.905 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.906 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.907 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.908 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.909 * [backup-simplify]: Simplify (+ (* 12.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
1.909 * [backup-simplify]: Simplify (+ 0 0) into 0
1.910 * [backup-simplify]: Simplify (- 0) into 0
1.910 * [backup-simplify]: Simplify (+ 0 0) into 0
1.910 * [backup-simplify]: Simplify 0 into 0
1.910 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
1.911 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 i))) into 0
1.912 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.913 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0
1.913 * [backup-simplify]: Simplify (+ 0 0) into 0
1.913 * [backup-simplify]: Simplify (- 0) into 0
1.914 * [backup-simplify]: Simplify (+ 0 0) into 0
1.914 * [taylor]: Taking taylor expansion of 0 in i
1.914 * [backup-simplify]: Simplify 0 into 0
1.914 * [backup-simplify]: Simplify 0 into 0
1.914 * [backup-simplify]: Simplify 0 into 0
1.914 * * * [progress]: simplifying candidates
1.918 * [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
1.920 * [simplify]: Sending expressions to egg_math:
 (- (+ (log (+ h2 h1)) (log (- h1 h2))) (log (+ (+ h2 h1) (* 2.0 h0))))
 (- (log (* (+ h2 h1) (- h1 h2))) (log (+ (+ h2 h1) (* 2.0 h0))))
 (log (/ (* (+ h2 h1) (- h1 h2)) (+ (+ h2 h1) (* 2.0 h0))))
 (exp (/ (* (+ h2 h1) (- h1 h2)) (+ (+ h2 h1) (* 2.0 h0))))
 (/ (* (* (* (+ h2 h1) (+ h2 h1)) (+ h2 h1)) (* (* (- h1 h2) (- h1 h2)) (- h1 h2))) (* (* (+ (+ h2 h1) (* 2.0 h0)) (+ (+ h2 h1) (* 2.0 h0))) (+ (+ h2 h1) (* 2.0 h0))))
 (/ (* (* (* (+ h2 h1) (- h1 h2)) (* (+ h2 h1) (- h1 h2))) (* (+ h2 h1) (- h1 h2))) (* (* (+ (+ h2 h1) (* 2.0 h0)) (+ (+ h2 h1) (* 2.0 h0))) (+ (+ h2 h1) (* 2.0 h0))))
 (* (cbrt (/ (* (+ h2 h1) (- h1 h2)) (+ (+ h2 h1) (* 2.0 h0)))) (cbrt (/ (* (+ h2 h1) (- h1 h2)) (+ (+ h2 h1) (* 2.0 h0)))))
 (cbrt (/ (* (+ h2 h1) (- h1 h2)) (+ (+ h2 h1) (* 2.0 h0))))
 (* (* (/ (* (+ h2 h1) (- h1 h2)) (+ (+ h2 h1) (* 2.0 h0))) (/ (* (+ h2 h1) (- h1 h2)) (+ (+ h2 h1) (* 2.0 h0)))) (/ (* (+ h2 h1) (- h1 h2)) (+ (+ h2 h1) (* 2.0 h0))))
 (sqrt (/ (* (+ h2 h1) (- h1 h2)) (+ (+ h2 h1) (* 2.0 h0))))
 (sqrt (/ (* (+ h2 h1) (- h1 h2)) (+ (+ h2 h1) (* 2.0 h0))))
 (- (* (+ h2 h1) (- h1 h2)))
 (- (+ (+ h2 h1) (* 2.0 h0)))
 (/ (+ h2 h1) (* (cbrt (+ (+ h2 h1) (* 2.0 h0))) (cbrt (+ (+ h2 h1) (* 2.0 h0)))))
 (/ (- h1 h2) (cbrt (+ (+ h2 h1) (* 2.0 h0))))
 (/ (+ h2 h1) (sqrt (+ (+ h2 h1) (* 2.0 h0))))
 (/ (- h1 h2) (sqrt (+ (+ h2 h1) (* 2.0 h0))))
 (/ (+ h2 h1) 1)
 (/ (- h1 h2) (+ (+ h2 h1) (* 2.0 h0)))
 (/ 1 (+ (+ h2 h1) (* 2.0 h0)))
 (/ (+ (+ h2 h1) (* 2.0 h0)) (* (+ h2 h1) (- h1 h2)))
 (/ (* (+ h2 h1) (- h1 h2)) (* (cbrt (+ (+ h2 h1) (* 2.0 h0))) (cbrt (+ (+ h2 h1) (* 2.0 h0)))))
 (/ (* (+ h2 h1) (- h1 h2)) (sqrt (+ (+ h2 h1) (* 2.0 h0))))
 (/ (* (+ h2 h1) (- h1 h2)) 1)
 (/ (+ (+ h2 h1) (* 2.0 h0)) (- h1 h2))
 (/ (* (+ h2 h1) (- h1 h2)) (+ (pow (+ h2 h1) 3) (pow (* 2.0 h0) 3)))
 (/ (* (+ h2 h1) (- h1 h2)) (- (* (+ h2 h1) (+ h2 h1)) (* (* 2.0 h0) (* 2.0 h0))))
 (* (+ (+ h2 h1) (* 2.0 h0)) (* (+ (* h2 h2) (- (* h1 h1) (* h2 h1))) (+ (* h1 h1) (+ (* h2 h2) (* h1 h2)))))
 (* (+ (+ h2 h1) (* 2.0 h0)) (* (+ (* h2 h2) (- (* h1 h1) (* h2 h1))) (+ h1 h2)))
 (* (+ (+ h2 h1) (* 2.0 h0)) (* (- h2 h1) (+ (* h1 h1) (+ (* h2 h2) (* h1 h2)))))
 (* (+ (+ h2 h1) (* 2.0 h0)) (* (- h2 h1) (+ h1 h2)))
 (* (+ (+ h2 h1) (* 2.0 h0)) (+ (* h1 h1) (+ (* h2 h2) (* h1 h2))))
 (* (+ (+ h2 h1) (* 2.0 h0)) (+ h1 h2))
 (* (+ (+ h2 h1) (* 2.0 h0)) (+ (* h2 h2) (- (* h1 h1) (* h2 h1))))
 (* (+ (+ h2 h1) (* 2.0 h0)) (- h2 h1))
 (* (exp (/ (/ (* (+ h2 h1) (- h1 h2)) (+ (+ h2 h1) (* 2.0 h0))) (+ (+ (+ h2 h1) (* 2.0 h0)) 2.0))) (exp 1.0))
 (log (+ (/ (/ (* (+ h2 h1) (- h1 h2)) (+ (+ h2 h1) (* 2.0 h0))) (+ (+ (+ h2 h1) (* 2.0 h0)) 2.0)) 1.0))
 (exp (+ (/ (/ (* (+ h2 h1) (- h1 h2)) (+ (+ h2 h1) (* 2.0 h0))) (+ (+ (+ h2 h1) (* 2.0 h0)) 2.0)) 1.0))
 (* (cbrt (+ (/ (/ (* (+ h2 h1) (- h1 h2)) (+ (+ h2 h1) (* 2.0 h0))) (+ (+ (+ h2 h1) (* 2.0 h0)) 2.0)) 1.0)) (cbrt (+ (/ (/ (* (+ h2 h1) (- h1 h2)) (+ (+ h2 h1) (* 2.0 h0))) (+ (+ (+ h2 h1) (* 2.0 h0)) 2.0)) 1.0)))
 (cbrt (+ (/ (/ (* (+ h2 h1) (- h1 h2)) (+ (+ h2 h1) (* 2.0 h0))) (+ (+ (+ h2 h1) (* 2.0 h0)) 2.0)) 1.0))
 (* (* (+ (/ (/ (* (+ h2 h1) (- h1 h2)) (+ (+ h2 h1) (* 2.0 h0))) (+ (+ (+ h2 h1) (* 2.0 h0)) 2.0)) 1.0) (+ (/ (/ (* (+ h2 h1) (- h1 h2)) (+ (+ h2 h1) (* 2.0 h0))) (+ (+ (+ h2 h1) (* 2.0 h0)) 2.0)) 1.0)) (+ (/ (/ (* (+ h2 h1) (- h1 h2)) (+ (+ h2 h1) (* 2.0 h0))) (+ (+ (+ h2 h1) (* 2.0 h0)) 2.0)) 1.0))
 (sqrt (+ (/ (/ (* (+ h2 h1) (- h1 h2)) (+ (+ h2 h1) (* 2.0 h0))) (+ (+ (+ h2 h1) (* 2.0 h0)) 2.0)) 1.0))
 (sqrt (+ (/ (/ (* (+ h2 h1) (- h1 h2)) (+ (+ h2 h1) (* 2.0 h0))) (+ (+ (+ h2 h1) (* 2.0 h0)) 2.0)) 1.0))
 (+ (pow (/ (/ (* (+ h2 h1) (- h1 h2)) (+ (+ h2 h1) (* 2.0 h0))) (+ (+ (+ h2 h1) (* 2.0 h0)) 2.0)) 3) (pow 1.0 3))
 (+ (* (/ (/ (* (+ h2 h1) (- h1 h2)) (+ (+ h2 h1) (* 2.0 h0))) (+ (+ (+ h2 h1) (* 2.0 h0)) 2.0)) (/ (/ (* (+ h2 h1) (- h1 h2)) (+ (+ h2 h1) (* 2.0 h0))) (+ (+ (+ h2 h1) (* 2.0 h0)) 2.0))) (- (* 1.0 1.0) (* (/ (/ (* (+ h2 h1) (- h1 h2)) (+ (+ h2 h1) (* 2.0 h0))) (+ (+ (+ h2 h1) (* 2.0 h0)) 2.0)) 1.0)))
 (- (* (/ (/ (* (+ h2 h1) (- h1 h2)) (+ (+ h2 h1) (* 2.0 h0))) (+ (+ (+ h2 h1) (* 2.0 h0)) 2.0)) (/ (/ (* (+ h2 h1) (- h1 h2)) (+ (+ h2 h1) (* 2.0 h0))) (+ (+ (+ h2 h1) (* 2.0 h0)) 2.0))) (* 1.0 1.0))
 (- (/ (/ (* (+ h2 h1) (- h1 h2)) (+ (+ h2 h1) (* 2.0 h0))) (+ (+ (+ h2 h1) (* 2.0 h0)) 2.0)) 1.0)
 (+ (/ (/ (* (+ h2 h1) (- h1 h2)) (+ (+ h2 h1) (* 2.0 h0))) (+ (+ (+ h2 h1) (* 2.0 h0)) 2.0)) 1.0)
 (- (- (+ (log (+ h2 h1)) (log (- h1 h2))) (log (+ (+ h2 h1) (* 2.0 h0)))) (log (+ (+ (+ h2 h1) (* 2.0 h0)) 2.0)))
 (- (- (log (* (+ h2 h1) (- h1 h2))) (log (+ (+ h2 h1) (* 2.0 h0)))) (log (+ (+ (+ h2 h1) (* 2.0 h0)) 2.0)))
 (- (log (/ (* (+ h2 h1) (- h1 h2)) (+ (+ h2 h1) (* 2.0 h0)))) (log (+ (+ (+ h2 h1) (* 2.0 h0)) 2.0)))
 (log (/ (/ (* (+ h2 h1) (- h1 h2)) (+ (+ h2 h1) (* 2.0 h0))) (+ (+ (+ h2 h1) (* 2.0 h0)) 2.0)))
 (exp (/ (/ (* (+ h2 h1) (- h1 h2)) (+ (+ h2 h1) (* 2.0 h0))) (+ (+ (+ h2 h1) (* 2.0 h0)) 2.0)))
 (/ (/ (* (* (* (+ h2 h1) (+ h2 h1)) (+ h2 h1)) (* (* (- h1 h2) (- h1 h2)) (- h1 h2))) (* (* (+ (+ h2 h1) (* 2.0 h0)) (+ (+ h2 h1) (* 2.0 h0))) (+ (+ h2 h1) (* 2.0 h0)))) (* (* (+ (+ (+ h2 h1) (* 2.0 h0)) 2.0) (+ (+ (+ h2 h1) (* 2.0 h0)) 2.0)) (+ (+ (+ h2 h1) (* 2.0 h0)) 2.0)))
 (/ (/ (* (* (* (+ h2 h1) (- h1 h2)) (* (+ h2 h1) (- h1 h2))) (* (+ h2 h1) (- h1 h2))) (* (* (+ (+ h2 h1) (* 2.0 h0)) (+ (+ h2 h1) (* 2.0 h0))) (+ (+ h2 h1) (* 2.0 h0)))) (* (* (+ (+ (+ h2 h1) (* 2.0 h0)) 2.0) (+ (+ (+ h2 h1) (* 2.0 h0)) 2.0)) (+ (+ (+ h2 h1) (* 2.0 h0)) 2.0)))
 (/ (* (* (/ (* (+ h2 h1) (- h1 h2)) (+ (+ h2 h1) (* 2.0 h0))) (/ (* (+ h2 h1) (- h1 h2)) (+ (+ h2 h1) (* 2.0 h0)))) (/ (* (+ h2 h1) (- h1 h2)) (+ (+ h2 h1) (* 2.0 h0)))) (* (* (+ (+ (+ h2 h1) (* 2.0 h0)) 2.0) (+ (+ (+ h2 h1) (* 2.0 h0)) 2.0)) (+ (+ (+ h2 h1) (* 2.0 h0)) 2.0)))
 (* (cbrt (/ (/ (* (+ h2 h1) (- h1 h2)) (+ (+ h2 h1) (* 2.0 h0))) (+ (+ (+ h2 h1) (* 2.0 h0)) 2.0))) (cbrt (/ (/ (* (+ h2 h1) (- h1 h2)) (+ (+ h2 h1) (* 2.0 h0))) (+ (+ (+ h2 h1) (* 2.0 h0)) 2.0))))
 (cbrt (/ (/ (* (+ h2 h1) (- h1 h2)) (+ (+ h2 h1) (* 2.0 h0))) (+ (+ (+ h2 h1) (* 2.0 h0)) 2.0)))
 (* (* (/ (/ (* (+ h2 h1) (- h1 h2)) (+ (+ h2 h1) (* 2.0 h0))) (+ (+ (+ h2 h1) (* 2.0 h0)) 2.0)) (/ (/ (* (+ h2 h1) (- h1 h2)) (+ (+ h2 h1) (* 2.0 h0))) (+ (+ (+ h2 h1) (* 2.0 h0)) 2.0))) (/ (/ (* (+ h2 h1) (- h1 h2)) (+ (+ h2 h1) (* 2.0 h0))) (+ (+ (+ h2 h1) (* 2.0 h0)) 2.0)))
 (sqrt (/ (/ (* (+ h2 h1) (- h1 h2)) (+ (+ h2 h1) (* 2.0 h0))) (+ (+ (+ h2 h1) (* 2.0 h0)) 2.0)))
 (sqrt (/ (/ (* (+ h2 h1) (- h1 h2)) (+ (+ h2 h1) (* 2.0 h0))) (+ (+ (+ h2 h1) (* 2.0 h0)) 2.0)))
 (- (/ (* (+ h2 h1) (- h1 h2)) (+ (+ h2 h1) (* 2.0 h0))))
 (- (+ (+ (+ h2 h1) (* 2.0 h0)) 2.0))
 (/ (* (cbrt (/ (* (+ h2 h1) (- h1 h2)) (+ (+ h2 h1) (* 2.0 h0)))) (cbrt (/ (* (+ h2 h1) (- h1 h2)) (+ (+ h2 h1) (* 2.0 h0))))) (* (cbrt (+ (+ (+ h2 h1) (* 2.0 h0)) 2.0)) (cbrt (+ (+ (+ h2 h1) (* 2.0 h0)) 2.0))))
 (/ (cbrt (/ (* (+ h2 h1) (- h1 h2)) (+ (+ h2 h1) (* 2.0 h0)))) (cbrt (+ (+ (+ h2 h1) (* 2.0 h0)) 2.0)))
 (/ (* (cbrt (/ (* (+ h2 h1) (- h1 h2)) (+ (+ h2 h1) (* 2.0 h0)))) (cbrt (/ (* (+ h2 h1) (- h1 h2)) (+ (+ h2 h1) (* 2.0 h0))))) (sqrt (+ (+ (+ h2 h1) (* 2.0 h0)) 2.0)))
 (/ (cbrt (/ (* (+ h2 h1) (- h1 h2)) (+ (+ h2 h1) (* 2.0 h0)))) (sqrt (+ (+ (+ h2 h1) (* 2.0 h0)) 2.0)))
 (/ (* (cbrt (/ (* (+ h2 h1) (- h1 h2)) (+ (+ h2 h1) (* 2.0 h0)))) (cbrt (/ (* (+ h2 h1) (- h1 h2)) (+ (+ h2 h1) (* 2.0 h0))))) 1)
 (/ (cbrt (/ (* (+ h2 h1) (- h1 h2)) (+ (+ h2 h1) (* 2.0 h0)))) (+ (+ (+ h2 h1) (* 2.0 h0)) 2.0))
 (/ (* (cbrt (/ (* (+ h2 h1) (- h1 h2)) (+ (+ h2 h1) (* 2.0 h0)))) (cbrt (/ (* (+ h2 h1) (- h1 h2)) (+ (+ h2 h1) (* 2.0 h0))))) 1)
 (/ (cbrt (/ (* (+ h2 h1) (- h1 h2)) (+ (+ h2 h1) (* 2.0 h0)))) (+ (+ (+ h2 h1) (* 2.0 h0)) 2.0))
 (/ (sqrt (/ (* (+ h2 h1) (- h1 h2)) (+ (+ h2 h1) (* 2.0 h0)))) (* (cbrt (+ (+ (+ h2 h1) (* 2.0 h0)) 2.0)) (cbrt (+ (+ (+ h2 h1) (* 2.0 h0)) 2.0))))
 (/ (sqrt (/ (* (+ h2 h1) (- h1 h2)) (+ (+ h2 h1) (* 2.0 h0)))) (cbrt (+ (+ (+ h2 h1) (* 2.0 h0)) 2.0)))
 (/ (sqrt (/ (* (+ h2 h1) (- h1 h2)) (+ (+ h2 h1) (* 2.0 h0)))) (sqrt (+ (+ (+ h2 h1) (* 2.0 h0)) 2.0)))
 (/ (sqrt (/ (* (+ h2 h1) (- h1 h2)) (+ (+ h2 h1) (* 2.0 h0)))) (sqrt (+ (+ (+ h2 h1) (* 2.0 h0)) 2.0)))
 (/ (sqrt (/ (* (+ h2 h1) (- h1 h2)) (+ (+ h2 h1) (* 2.0 h0)))) 1)
 (/ (sqrt (/ (* (+ h2 h1) (- h1 h2)) (+ (+ h2 h1) (* 2.0 h0)))) (+ (+ (+ h2 h1) (* 2.0 h0)) 2.0))
 (/ (sqrt (/ (* (+ h2 h1) (- h1 h2)) (+ (+ h2 h1) (* 2.0 h0)))) 1)
 (/ (sqrt (/ (* (+ h2 h1) (- h1 h2)) (+ (+ h2 h1) (* 2.0 h0)))) (+ (+ (+ h2 h1) (* 2.0 h0)) 2.0))
 (/ (/ (+ h2 h1) (* (cbrt (+ (+ h2 h1) (* 2.0 h0))) (cbrt (+ (+ h2 h1) (* 2.0 h0))))) (* (cbrt (+ (+ (+ h2 h1) (* 2.0 h0)) 2.0)) (cbrt (+ (+ (+ h2 h1) (* 2.0 h0)) 2.0))))
 (/ (/ (- h1 h2) (cbrt (+ (+ h2 h1) (* 2.0 h0)))) (cbrt (+ (+ (+ h2 h1) (* 2.0 h0)) 2.0)))
 (/ (/ (+ h2 h1) (* (cbrt (+ (+ h2 h1) (* 2.0 h0))) (cbrt (+ (+ h2 h1) (* 2.0 h0))))) (sqrt (+ (+ (+ h2 h1) (* 2.0 h0)) 2.0)))
 (/ (/ (- h1 h2) (cbrt (+ (+ h2 h1) (* 2.0 h0)))) (sqrt (+ (+ (+ h2 h1) (* 2.0 h0)) 2.0)))
 (/ (/ (+ h2 h1) (* (cbrt (+ (+ h2 h1) (* 2.0 h0))) (cbrt (+ (+ h2 h1) (* 2.0 h0))))) 1)
 (/ (/ (- h1 h2) (cbrt (+ (+ h2 h1) (* 2.0 h0)))) (+ (+ (+ h2 h1) (* 2.0 h0)) 2.0))
 (/ (/ (+ h2 h1) (* (cbrt (+ (+ h2 h1) (* 2.0 h0))) (cbrt (+ (+ h2 h1) (* 2.0 h0))))) 1)
 (/ (/ (- h1 h2) (cbrt (+ (+ h2 h1) (* 2.0 h0)))) (+ (+ (+ h2 h1) (* 2.0 h0)) 2.0))
 (/ (/ (+ h2 h1) (sqrt (+ (+ h2 h1) (* 2.0 h0)))) (* (cbrt (+ (+ (+ h2 h1) (* 2.0 h0)) 2.0)) (cbrt (+ (+ (+ h2 h1) (* 2.0 h0)) 2.0))))
 (/ (/ (- h1 h2) (sqrt (+ (+ h2 h1) (* 2.0 h0)))) (cbrt (+ (+ (+ h2 h1) (* 2.0 h0)) 2.0)))
 (/ (/ (+ h2 h1) (sqrt (+ (+ h2 h1) (* 2.0 h0)))) (sqrt (+ (+ (+ h2 h1) (* 2.0 h0)) 2.0)))
 (/ (/ (- h1 h2) (sqrt (+ (+ h2 h1) (* 2.0 h0)))) (sqrt (+ (+ (+ h2 h1) (* 2.0 h0)) 2.0)))
 (/ (/ (+ h2 h1) (sqrt (+ (+ h2 h1) (* 2.0 h0)))) 1)
 (/ (/ (- h1 h2) (sqrt (+ (+ h2 h1) (* 2.0 h0)))) (+ (+ (+ h2 h1) (* 2.0 h0)) 2.0))
 (/ (/ (+ h2 h1) (sqrt (+ (+ h2 h1) (* 2.0 h0)))) 1)
 (/ (/ (- h1 h2) (sqrt (+ (+ h2 h1) (* 2.0 h0)))) (+ (+ (+ h2 h1) (* 2.0 h0)) 2.0))
 (/ (/ (+ h2 h1) 1) (* (cbrt (+ (+ (+ h2 h1) (* 2.0 h0)) 2.0)) (cbrt (+ (+ (+ h2 h1) (* 2.0 h0)) 2.0))))
 (/ (/ (- h1 h2) (+ (+ h2 h1) (* 2.0 h0))) (cbrt (+ (+ (+ h2 h1) (* 2.0 h0)) 2.0)))
 (/ (/ (+ h2 h1) 1) (sqrt (+ (+ (+ h2 h1) (* 2.0 h0)) 2.0)))
 (/ (/ (- h1 h2) (+ (+ h2 h1) (* 2.0 h0))) (sqrt (+ (+ (+ h2 h1) (* 2.0 h0)) 2.0)))
 (/ (/ (+ h2 h1) 1) 1)
 (/ (/ (- h1 h2) (+ (+ h2 h1) (* 2.0 h0))) (+ (+ (+ h2 h1) (* 2.0 h0)) 2.0))
 (/ (/ (+ h2 h1) 1) 1)
 (/ (/ (- h1 h2) (+ (+ h2 h1) (* 2.0 h0))) (+ (+ (+ h2 h1) (* 2.0 h0)) 2.0))
 (/ 1 (* (cbrt (+ (+ (+ h2 h1) (* 2.0 h0)) 2.0)) (cbrt (+ (+ (+ h2 h1) (* 2.0 h0)) 2.0))))
 (/ (/ (* (+ h2 h1) (- h1 h2)) (+ (+ h2 h1) (* 2.0 h0))) (cbrt (+ (+ (+ h2 h1) (* 2.0 h0)) 2.0)))
 (/ 1 (sqrt (+ (+ (+ h2 h1) (* 2.0 h0)) 2.0)))
 (/ (/ (* (+ h2 h1) (- h1 h2)) (+ (+ h2 h1) (* 2.0 h0))) (sqrt (+ (+ (+ h2 h1) (* 2.0 h0)) 2.0)))
 (/ 1 1)
 (/ (/ (* (+ h2 h1) (- h1 h2)) (+ (+ h2 h1) (* 2.0 h0))) (+ (+ (+ h2 h1) (* 2.0 h0)) 2.0))
 (/ 1 1)
 (/ (/ (* (+ h2 h1) (- h1 h2)) (+ (+ h2 h1) (* 2.0 h0))) (+ (+ (+ h2 h1) (* 2.0 h0)) 2.0))
 (/ (* (+ h2 h1) (- h1 h2)) (* (cbrt (+ (+ (+ h2 h1) (* 2.0 h0)) 2.0)) (cbrt (+ (+ (+ h2 h1) (* 2.0 h0)) 2.0))))
 (/ (/ 1 (+ (+ h2 h1) (* 2.0 h0))) (cbrt (+ (+ (+ h2 h1) (* 2.0 h0)) 2.0)))
 (/ (* (+ h2 h1) (- h1 h2)) (sqrt (+ (+ (+ h2 h1) (* 2.0 h0)) 2.0)))
 (/ (/ 1 (+ (+ h2 h1) (* 2.0 h0))) (sqrt (+ (+ (+ h2 h1) (* 2.0 h0)) 2.0)))
 (/ (* (+ h2 h1) (- h1 h2)) 1)
 (/ (/ 1 (+ (+ h2 h1) (* 2.0 h0))) (+ (+ (+ h2 h1) (* 2.0 h0)) 2.0))
 (/ (* (+ h2 h1) (- h1 h2)) 1)
 (/ (/ 1 (+ (+ h2 h1) (* 2.0 h0))) (+ (+ (+ h2 h1) (* 2.0 h0)) 2.0))
 (/ (/ (* (+ h2 h1) (- h1 h2)) (+ (pow (+ h2 h1) 3) (pow (* 2.0 h0) 3))) (* (cbrt (+ (+ (+ h2 h1) (* 2.0 h0)) 2.0)) (cbrt (+ (+ (+ h2 h1) (* 2.0 h0)) 2.0))))
 (/ (+ (* (+ h2 h1) (+ h2 h1)) (- (* (* 2.0 h0) (* 2.0 h0)) (* (+ h2 h1) (* 2.0 h0)))) (cbrt (+ (+ (+ h2 h1) (* 2.0 h0)) 2.0)))
 (/ (/ (* (+ h2 h1) (- h1 h2)) (+ (pow (+ h2 h1) 3) (pow (* 2.0 h0) 3))) (sqrt (+ (+ (+ h2 h1) (* 2.0 h0)) 2.0)))
 (/ (+ (* (+ h2 h1) (+ h2 h1)) (- (* (* 2.0 h0) (* 2.0 h0)) (* (+ h2 h1) (* 2.0 h0)))) (sqrt (+ (+ (+ h2 h1) (* 2.0 h0)) 2.0)))
 (/ (/ (* (+ h2 h1) (- h1 h2)) (+ (pow (+ h2 h1) 3) (pow (* 2.0 h0) 3))) 1)
 (/ (+ (* (+ h2 h1) (+ h2 h1)) (- (* (* 2.0 h0) (* 2.0 h0)) (* (+ h2 h1) (* 2.0 h0)))) (+ (+ (+ h2 h1) (* 2.0 h0)) 2.0))
 (/ (/ (* (+ h2 h1) (- h1 h2)) (+ (pow (+ h2 h1) 3) (pow (* 2.0 h0) 3))) 1)
 (/ (+ (* (+ h2 h1) (+ h2 h1)) (- (* (* 2.0 h0) (* 2.0 h0)) (* (+ h2 h1) (* 2.0 h0)))) (+ (+ (+ h2 h1) (* 2.0 h0)) 2.0))
 (/ (/ (* (+ h2 h1) (- h1 h2)) (- (* (+ h2 h1) (+ h2 h1)) (* (* 2.0 h0) (* 2.0 h0)))) (* (cbrt (+ (+ (+ h2 h1) (* 2.0 h0)) 2.0)) (cbrt (+ (+ (+ h2 h1) (* 2.0 h0)) 2.0))))
 (/ (- (+ h2 h1) (* 2.0 h0)) (cbrt (+ (+ (+ h2 h1) (* 2.0 h0)) 2.0)))
 (/ (/ (* (+ h2 h1) (- h1 h2)) (- (* (+ h2 h1) (+ h2 h1)) (* (* 2.0 h0) (* 2.0 h0)))) (sqrt (+ (+ (+ h2 h1) (* 2.0 h0)) 2.0)))
 (/ (- (+ h2 h1) (* 2.0 h0)) (sqrt (+ (+ (+ h2 h1) (* 2.0 h0)) 2.0)))
 (/ (/ (* (+ h2 h1) (- h1 h2)) (- (* (+ h2 h1) (+ h2 h1)) (* (* 2.0 h0) (* 2.0 h0)))) 1)
 (/ (- (+ h2 h1) (* 2.0 h0)) (+ (+ (+ h2 h1) (* 2.0 h0)) 2.0))
 (/ (/ (* (+ h2 h1) (- h1 h2)) (- (* (+ h2 h1) (+ h2 h1)) (* (* 2.0 h0) (* 2.0 h0)))) 1)
 (/ (- (+ h2 h1) (* 2.0 h0)) (+ (+ (+ h2 h1) (* 2.0 h0)) 2.0))
 (/ 1 (+ (+ (+ h2 h1) (* 2.0 h0)) 2.0))
 (/ (+ (+ (+ h2 h1) (* 2.0 h0)) 2.0) (/ (* (+ h2 h1) (- h1 h2)) (+ (+ h2 h1) (* 2.0 h0))))
 (/ (/ (* (+ h2 h1) (- h1 h2)) (+ (+ h2 h1) (* 2.0 h0))) (* (cbrt (+ (+ (+ h2 h1) (* 2.0 h0)) 2.0)) (cbrt (+ (+ (+ h2 h1) (* 2.0 h0)) 2.0))))
 (/ (/ (* (+ h2 h1) (- h1 h2)) (+ (+ h2 h1) (* 2.0 h0))) (sqrt (+ (+ (+ h2 h1) (* 2.0 h0)) 2.0)))
 (/ (/ (* (+ h2 h1) (- h1 h2)) (+ (+ h2 h1) (* 2.0 h0))) 1)
 (/ (/ (* (+ h2 h1) (- h1 h2)) (+ (+ h2 h1) (* 2.0 h0))) 1)
 (/ (+ (+ (+ h2 h1) (* 2.0 h0)) 2.0) (cbrt (/ (* (+ h2 h1) (- h1 h2)) (+ (+ h2 h1) (* 2.0 h0)))))
 (/ (+ (+ (+ h2 h1) (* 2.0 h0)) 2.0) (sqrt (/ (* (+ h2 h1) (- h1 h2)) (+ (+ h2 h1) (* 2.0 h0)))))
 (/ (+ (+ (+ h2 h1) (* 2.0 h0)) 2.0) (/ (- h1 h2) (cbrt (+ (+ h2 h1) (* 2.0 h0)))))
 (/ (+ (+ (+ h2 h1) (* 2.0 h0)) 2.0) (/ (- h1 h2) (sqrt (+ (+ h2 h1) (* 2.0 h0)))))
 (/ (+ (+ (+ h2 h1) (* 2.0 h0)) 2.0) (/ (- h1 h2) (+ (+ h2 h1) (* 2.0 h0))))
 (/ (+ (+ (+ h2 h1) (* 2.0 h0)) 2.0) (/ (* (+ h2 h1) (- h1 h2)) (+ (+ h2 h1) (* 2.0 h0))))
 (/ (+ (+ (+ h2 h1) (* 2.0 h0)) 2.0) (/ 1 (+ (+ h2 h1) (* 2.0 h0))))
 (/ (+ (+ (+ h2 h1) (* 2.0 h0)) 2.0) (+ (* (+ h2 h1) (+ h2 h1)) (- (* (* 2.0 h0) (* 2.0 h0)) (* (+ h2 h1) (* 2.0 h0)))))
 (/ (+ (+ (+ h2 h1) (* 2.0 h0)) 2.0) (- (+ h2 h1) (* 2.0 h0)))
 (/ (/ (* (+ h2 h1) (- h1 h2)) (+ (+ h2 h1) (* 2.0 h0))) (+ (pow (+ (+ h2 h1) (* 2.0 h0)) 3) (pow 2.0 3)))
 (/ (/ (* (+ h2 h1) (- h1 h2)) (+ (+ h2 h1) (* 2.0 h0))) (- (* (+ (+ h2 h1) (* 2.0 h0)) (+ (+ h2 h1) (* 2.0 h0))) (* 2.0 2.0)))
 (* (+ (+ (+ h2 h1) (* 2.0 h0)) 2.0) (+ (+ h2 h1) (* 2.0 h0)))
 0
 0
 0
 (- (+ 1.0 (* (/ 1.0 4.0) (pow h2 2))) (* (/ 1.0 4.0) (pow h1 2)))
 (- (+ (* 2.0 (/ 1 h2)) (* 8.0 (/ 1 (pow h2 3)))) (* 4.0 (/ 1 (pow h2 2))))
 (- (+ (* 2.0 (/ 1 h2)) (* 8.0 (/ 1 (pow h2 3)))) (* 4.0 (/ 1 (pow h2 2))))
 (- (* (/ 1.0 4.0) (pow h2 2)) (+ (* (/ 1.0 8.0) (pow h2 3)) (* (/ 1.0 4.0) (pow h1 2))))
 0
 0
2.009 * * * [progress]: adding candidates to table
2.518 * * [progress]: iteration 2 / 4
2.518 * * * [progress]: picking best candidate
2.551 * * * * [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))>
2.552 * * * [progress]: localizing error
2.576 * * * [progress]: generating rewritten candidates
2.576 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1)
3.073 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1)
3.206 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 2)
3.434 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 2 1)
3.525 * * * [progress]: generating series expansions
3.525 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1)
3.525 * [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)))))
3.525 * [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
3.525 * [taylor]: Taking taylor expansion of (/ (* (+ alpha beta) (- beta alpha)) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta))))) in i
3.525 * [taylor]: Taking taylor expansion of (* (+ alpha beta) (- beta alpha)) in i
3.526 * [taylor]: Taking taylor expansion of (+ alpha beta) in i
3.526 * [taylor]: Taking taylor expansion of alpha in i
3.526 * [backup-simplify]: Simplify alpha into alpha
3.526 * [taylor]: Taking taylor expansion of beta in i
3.526 * [backup-simplify]: Simplify beta into beta
3.526 * [taylor]: Taking taylor expansion of (- beta alpha) in i
3.526 * [taylor]: Taking taylor expansion of beta in i
3.526 * [backup-simplify]: Simplify beta into beta
3.526 * [taylor]: Taking taylor expansion of alpha in i
3.526 * [backup-simplify]: Simplify alpha into alpha
3.526 * [taylor]: Taking taylor expansion of (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta)))) in i
3.526 * [taylor]: Taking taylor expansion of (+ alpha (+ (* 2.0 i) beta)) in i
3.526 * [taylor]: Taking taylor expansion of alpha in i
3.526 * [backup-simplify]: Simplify alpha into alpha
3.526 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in i
3.526 * [taylor]: Taking taylor expansion of (* 2.0 i) in i
3.526 * [taylor]: Taking taylor expansion of 2.0 in i
3.526 * [backup-simplify]: Simplify 2.0 into 2.0
3.526 * [taylor]: Taking taylor expansion of i in i
3.526 * [backup-simplify]: Simplify 0 into 0
3.526 * [backup-simplify]: Simplify 1 into 1
3.526 * [taylor]: Taking taylor expansion of beta in i
3.526 * [backup-simplify]: Simplify beta into beta
3.526 * [taylor]: Taking taylor expansion of (+ alpha (+ 2.0 (+ (* 2.0 i) beta))) in i
3.526 * [taylor]: Taking taylor expansion of alpha in i
3.526 * [backup-simplify]: Simplify alpha into alpha
3.526 * [taylor]: Taking taylor expansion of (+ 2.0 (+ (* 2.0 i) beta)) in i
3.526 * [taylor]: Taking taylor expansion of 2.0 in i
3.526 * [backup-simplify]: Simplify 2.0 into 2.0
3.526 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in i
3.526 * [taylor]: Taking taylor expansion of (* 2.0 i) in i
3.526 * [taylor]: Taking taylor expansion of 2.0 in i
3.526 * [backup-simplify]: Simplify 2.0 into 2.0
3.526 * [taylor]: Taking taylor expansion of i in i
3.526 * [backup-simplify]: Simplify 0 into 0
3.526 * [backup-simplify]: Simplify 1 into 1
3.526 * [taylor]: Taking taylor expansion of beta in i
3.526 * [backup-simplify]: Simplify beta into beta
3.526 * [backup-simplify]: Simplify (+ alpha beta) into (+ alpha beta)
3.526 * [backup-simplify]: Simplify (- alpha) into (- alpha)
3.526 * [backup-simplify]: Simplify (+ beta (- alpha)) into (- beta alpha)
3.526 * [backup-simplify]: Simplify (* (+ alpha beta) (- beta alpha)) into (* (+ alpha beta) (- beta alpha))
3.527 * [backup-simplify]: Simplify (* 2.0 0) into 0
3.527 * [backup-simplify]: Simplify (+ 0 beta) into beta
3.527 * [backup-simplify]: Simplify (+ alpha beta) into (+ alpha beta)
3.527 * [backup-simplify]: Simplify (* 2.0 0) into 0
3.527 * [backup-simplify]: Simplify (+ 0 beta) into beta
3.527 * [backup-simplify]: Simplify (+ 2.0 beta) into (+ beta 2.0)
3.527 * [backup-simplify]: Simplify (+ alpha (+ beta 2.0)) into (+ alpha (+ beta 2.0))
3.527 * [backup-simplify]: Simplify (* (+ alpha beta) (+ alpha (+ beta 2.0))) into (* (+ alpha beta) (+ alpha (+ beta 2.0)))
3.528 * [backup-simplify]: Simplify (/ (* (+ alpha beta) (- beta alpha)) (* (+ alpha beta) (+ alpha (+ beta 2.0)))) into (/ (- beta alpha) (+ alpha (+ beta 2.0)))
3.528 * [taylor]: Taking taylor expansion of (/ (* (+ alpha beta) (- beta alpha)) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta))))) in beta
3.528 * [taylor]: Taking taylor expansion of (* (+ alpha beta) (- beta alpha)) in beta
3.528 * [taylor]: Taking taylor expansion of (+ alpha beta) in beta
3.528 * [taylor]: Taking taylor expansion of alpha in beta
3.528 * [backup-simplify]: Simplify alpha into alpha
3.528 * [taylor]: Taking taylor expansion of beta in beta
3.528 * [backup-simplify]: Simplify 0 into 0
3.528 * [backup-simplify]: Simplify 1 into 1
3.528 * [taylor]: Taking taylor expansion of (- beta alpha) in beta
3.528 * [taylor]: Taking taylor expansion of beta in beta
3.528 * [backup-simplify]: Simplify 0 into 0
3.528 * [backup-simplify]: Simplify 1 into 1
3.528 * [taylor]: Taking taylor expansion of alpha in beta
3.528 * [backup-simplify]: Simplify alpha into alpha
3.528 * [taylor]: Taking taylor expansion of (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta)))) in beta
3.528 * [taylor]: Taking taylor expansion of (+ alpha (+ (* 2.0 i) beta)) in beta
3.528 * [taylor]: Taking taylor expansion of alpha in beta
3.528 * [backup-simplify]: Simplify alpha into alpha
3.528 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
3.528 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
3.528 * [taylor]: Taking taylor expansion of 2.0 in beta
3.528 * [backup-simplify]: Simplify 2.0 into 2.0
3.528 * [taylor]: Taking taylor expansion of i in beta
3.528 * [backup-simplify]: Simplify i into i
3.528 * [taylor]: Taking taylor expansion of beta in beta
3.528 * [backup-simplify]: Simplify 0 into 0
3.528 * [backup-simplify]: Simplify 1 into 1
3.528 * [taylor]: Taking taylor expansion of (+ alpha (+ 2.0 (+ (* 2.0 i) beta))) in beta
3.528 * [taylor]: Taking taylor expansion of alpha in beta
3.528 * [backup-simplify]: Simplify alpha into alpha
3.528 * [taylor]: Taking taylor expansion of (+ 2.0 (+ (* 2.0 i) beta)) in beta
3.528 * [taylor]: Taking taylor expansion of 2.0 in beta
3.528 * [backup-simplify]: Simplify 2.0 into 2.0
3.528 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
3.528 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
3.528 * [taylor]: Taking taylor expansion of 2.0 in beta
3.528 * [backup-simplify]: Simplify 2.0 into 2.0
3.528 * [taylor]: Taking taylor expansion of i in beta
3.528 * [backup-simplify]: Simplify i into i
3.528 * [taylor]: Taking taylor expansion of beta in beta
3.528 * [backup-simplify]: Simplify 0 into 0
3.528 * [backup-simplify]: Simplify 1 into 1
3.528 * [backup-simplify]: Simplify (+ alpha 0) into alpha
3.528 * [backup-simplify]: Simplify (- alpha) into (- alpha)
3.528 * [backup-simplify]: Simplify (+ 0 (- alpha)) into (- alpha)
3.528 * [backup-simplify]: Simplify (* alpha (- alpha)) into (* -1 (pow alpha 2))
3.528 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
3.528 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
3.528 * [backup-simplify]: Simplify (+ alpha (* 2.0 i)) into (+ alpha (* 2.0 i))
3.529 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
3.529 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
3.529 * [backup-simplify]: Simplify (+ 2.0 (* 2.0 i)) into (+ (* 2.0 i) 2.0)
3.529 * [backup-simplify]: Simplify (+ alpha (+ (* 2.0 i) 2.0)) into (+ alpha (+ (* 2.0 i) 2.0))
3.529 * [backup-simplify]: Simplify (* (+ alpha (* 2.0 i)) (+ alpha (+ (* 2.0 i) 2.0))) into (* (+ alpha (+ (* 2.0 i) 2.0)) (+ alpha (* 2.0 i)))
3.529 * [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)))))
3.529 * [taylor]: Taking taylor expansion of (/ (* (+ alpha beta) (- beta alpha)) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta))))) in alpha
3.529 * [taylor]: Taking taylor expansion of (* (+ alpha beta) (- beta alpha)) in alpha
3.529 * [taylor]: Taking taylor expansion of (+ alpha beta) in alpha
3.529 * [taylor]: Taking taylor expansion of alpha in alpha
3.529 * [backup-simplify]: Simplify 0 into 0
3.529 * [backup-simplify]: Simplify 1 into 1
3.529 * [taylor]: Taking taylor expansion of beta in alpha
3.529 * [backup-simplify]: Simplify beta into beta
3.529 * [taylor]: Taking taylor expansion of (- beta alpha) in alpha
3.529 * [taylor]: Taking taylor expansion of beta in alpha
3.529 * [backup-simplify]: Simplify beta into beta
3.529 * [taylor]: Taking taylor expansion of alpha in alpha
3.529 * [backup-simplify]: Simplify 0 into 0
3.529 * [backup-simplify]: Simplify 1 into 1
3.529 * [taylor]: Taking taylor expansion of (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta)))) in alpha
3.529 * [taylor]: Taking taylor expansion of (+ alpha (+ (* 2.0 i) beta)) in alpha
3.529 * [taylor]: Taking taylor expansion of alpha in alpha
3.529 * [backup-simplify]: Simplify 0 into 0
3.529 * [backup-simplify]: Simplify 1 into 1
3.529 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in alpha
3.529 * [taylor]: Taking taylor expansion of (* 2.0 i) in alpha
3.529 * [taylor]: Taking taylor expansion of 2.0 in alpha
3.529 * [backup-simplify]: Simplify 2.0 into 2.0
3.529 * [taylor]: Taking taylor expansion of i in alpha
3.529 * [backup-simplify]: Simplify i into i
3.529 * [taylor]: Taking taylor expansion of beta in alpha
3.530 * [backup-simplify]: Simplify beta into beta
3.530 * [taylor]: Taking taylor expansion of (+ alpha (+ 2.0 (+ (* 2.0 i) beta))) in alpha
3.530 * [taylor]: Taking taylor expansion of alpha in alpha
3.530 * [backup-simplify]: Simplify 0 into 0
3.530 * [backup-simplify]: Simplify 1 into 1
3.530 * [taylor]: Taking taylor expansion of (+ 2.0 (+ (* 2.0 i) beta)) in alpha
3.530 * [taylor]: Taking taylor expansion of 2.0 in alpha
3.530 * [backup-simplify]: Simplify 2.0 into 2.0
3.530 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in alpha
3.530 * [taylor]: Taking taylor expansion of (* 2.0 i) in alpha
3.530 * [taylor]: Taking taylor expansion of 2.0 in alpha
3.530 * [backup-simplify]: Simplify 2.0 into 2.0
3.530 * [taylor]: Taking taylor expansion of i in alpha
3.530 * [backup-simplify]: Simplify i into i
3.530 * [taylor]: Taking taylor expansion of beta in alpha
3.530 * [backup-simplify]: Simplify beta into beta
3.530 * [backup-simplify]: Simplify (+ 0 beta) into beta
3.530 * [backup-simplify]: Simplify (- 0) into 0
3.530 * [backup-simplify]: Simplify (+ beta 0) into beta
3.530 * [backup-simplify]: Simplify (* beta beta) into (pow beta 2)
3.530 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
3.530 * [backup-simplify]: Simplify (+ (* 2.0 i) beta) into (+ (* 2.0 i) beta)
3.530 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 i) beta)) into (+ (* 2.0 i) beta)
3.530 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
3.530 * [backup-simplify]: Simplify (+ (* 2.0 i) beta) into (+ (* 2.0 i) beta)
3.530 * [backup-simplify]: Simplify (+ 2.0 (+ (* 2.0 i) beta)) into (+ (* 2.0 i) (+ beta 2.0))
3.531 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 i) (+ beta 2.0))) into (+ (* 2.0 i) (+ beta 2.0))
3.531 * [backup-simplify]: Simplify (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0))) into (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))
3.531 * [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))))
3.531 * [taylor]: Taking taylor expansion of (/ (* (+ alpha beta) (- beta alpha)) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta))))) in alpha
3.531 * [taylor]: Taking taylor expansion of (* (+ alpha beta) (- beta alpha)) in alpha
3.531 * [taylor]: Taking taylor expansion of (+ alpha beta) in alpha
3.531 * [taylor]: Taking taylor expansion of alpha in alpha
3.531 * [backup-simplify]: Simplify 0 into 0
3.531 * [backup-simplify]: Simplify 1 into 1
3.531 * [taylor]: Taking taylor expansion of beta in alpha
3.531 * [backup-simplify]: Simplify beta into beta
3.531 * [taylor]: Taking taylor expansion of (- beta alpha) in alpha
3.531 * [taylor]: Taking taylor expansion of beta in alpha
3.531 * [backup-simplify]: Simplify beta into beta
3.531 * [taylor]: Taking taylor expansion of alpha in alpha
3.531 * [backup-simplify]: Simplify 0 into 0
3.531 * [backup-simplify]: Simplify 1 into 1
3.531 * [taylor]: Taking taylor expansion of (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta)))) in alpha
3.531 * [taylor]: Taking taylor expansion of (+ alpha (+ (* 2.0 i) beta)) in alpha
3.531 * [taylor]: Taking taylor expansion of alpha in alpha
3.531 * [backup-simplify]: Simplify 0 into 0
3.531 * [backup-simplify]: Simplify 1 into 1
3.531 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in alpha
3.531 * [taylor]: Taking taylor expansion of (* 2.0 i) in alpha
3.531 * [taylor]: Taking taylor expansion of 2.0 in alpha
3.531 * [backup-simplify]: Simplify 2.0 into 2.0
3.531 * [taylor]: Taking taylor expansion of i in alpha
3.531 * [backup-simplify]: Simplify i into i
3.531 * [taylor]: Taking taylor expansion of beta in alpha
3.531 * [backup-simplify]: Simplify beta into beta
3.531 * [taylor]: Taking taylor expansion of (+ alpha (+ 2.0 (+ (* 2.0 i) beta))) in alpha
3.531 * [taylor]: Taking taylor expansion of alpha in alpha
3.531 * [backup-simplify]: Simplify 0 into 0
3.531 * [backup-simplify]: Simplify 1 into 1
3.531 * [taylor]: Taking taylor expansion of (+ 2.0 (+ (* 2.0 i) beta)) in alpha
3.531 * [taylor]: Taking taylor expansion of 2.0 in alpha
3.532 * [backup-simplify]: Simplify 2.0 into 2.0
3.532 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in alpha
3.532 * [taylor]: Taking taylor expansion of (* 2.0 i) in alpha
3.532 * [taylor]: Taking taylor expansion of 2.0 in alpha
3.532 * [backup-simplify]: Simplify 2.0 into 2.0
3.532 * [taylor]: Taking taylor expansion of i in alpha
3.532 * [backup-simplify]: Simplify i into i
3.532 * [taylor]: Taking taylor expansion of beta in alpha
3.532 * [backup-simplify]: Simplify beta into beta
3.532 * [backup-simplify]: Simplify (+ 0 beta) into beta
3.532 * [backup-simplify]: Simplify (- 0) into 0
3.532 * [backup-simplify]: Simplify (+ beta 0) into beta
3.532 * [backup-simplify]: Simplify (* beta beta) into (pow beta 2)
3.532 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
3.532 * [backup-simplify]: Simplify (+ (* 2.0 i) beta) into (+ (* 2.0 i) beta)
3.533 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 i) beta)) into (+ (* 2.0 i) beta)
3.533 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
3.533 * [backup-simplify]: Simplify (+ (* 2.0 i) beta) into (+ (* 2.0 i) beta)
3.533 * [backup-simplify]: Simplify (+ 2.0 (+ (* 2.0 i) beta)) into (+ (* 2.0 i) (+ beta 2.0))
3.533 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 i) (+ beta 2.0))) into (+ (* 2.0 i) (+ beta 2.0))
3.533 * [backup-simplify]: Simplify (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0))) into (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))
3.534 * [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))))
3.534 * [taylor]: Taking taylor expansion of (/ (pow beta 2) (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))) in beta
3.534 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
3.534 * [taylor]: Taking taylor expansion of beta in beta
3.534 * [backup-simplify]: Simplify 0 into 0
3.534 * [backup-simplify]: Simplify 1 into 1
3.534 * [taylor]: Taking taylor expansion of (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0))) in beta
3.534 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
3.534 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
3.534 * [taylor]: Taking taylor expansion of 2.0 in beta
3.534 * [backup-simplify]: Simplify 2.0 into 2.0
3.534 * [taylor]: Taking taylor expansion of i in beta
3.534 * [backup-simplify]: Simplify i into i
3.534 * [taylor]: Taking taylor expansion of beta in beta
3.534 * [backup-simplify]: Simplify 0 into 0
3.534 * [backup-simplify]: Simplify 1 into 1
3.534 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
3.534 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
3.534 * [taylor]: Taking taylor expansion of 2.0 in beta
3.534 * [backup-simplify]: Simplify 2.0 into 2.0
3.534 * [taylor]: Taking taylor expansion of i in beta
3.534 * [backup-simplify]: Simplify i into i
3.534 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
3.534 * [taylor]: Taking taylor expansion of beta in beta
3.534 * [backup-simplify]: Simplify 0 into 0
3.534 * [backup-simplify]: Simplify 1 into 1
3.534 * [taylor]: Taking taylor expansion of 2.0 in beta
3.534 * [backup-simplify]: Simplify 2.0 into 2.0
3.535 * [backup-simplify]: Simplify (* 1 1) into 1
3.535 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
3.535 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
3.535 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
3.536 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
3.536 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
3.536 * [backup-simplify]: Simplify (* (* 2.0 i) (+ (* 2.0 i) 2.0)) into (* 2.0 (* i (+ (* 2.0 i) 2.0)))
3.536 * [backup-simplify]: Simplify (/ 1 (* 2.0 (* i (+ (* 2.0 i) 2.0)))) into (/ 0.5 (* i (+ (* 2.0 i) 2.0)))
3.536 * [backup-simplify]: Simplify (- 1) into -1
3.537 * [backup-simplify]: Simplify (+ 0 -1) into -1
3.537 * [backup-simplify]: Simplify (+ 1 0) into 1
3.538 * [backup-simplify]: Simplify (+ (* beta -1) (* 1 beta)) into 0
3.538 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 i)) into 0
3.539 * [backup-simplify]: Simplify (+ 0 0) into 0
3.539 * [backup-simplify]: Simplify (+ 0 0) into 0
3.539 * [backup-simplify]: Simplify (+ 1 0) into 1
3.540 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 i)) into 0
3.540 * [backup-simplify]: Simplify (+ 0 0) into 0
3.541 * [backup-simplify]: Simplify (+ 1 0) into 1
3.541 * [backup-simplify]: Simplify (+ (* (+ (* 2.0 i) beta) 1) (* 1 (+ (* 2.0 i) (+ beta 2.0)))) into (+ 2.0 (+ (* 4.0 i) (* 2 beta)))
3.543 * [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)))))))
3.543 * [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
3.543 * [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
3.543 * [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
3.543 * [taylor]: Taking taylor expansion of 2.0 in beta
3.543 * [backup-simplify]: Simplify 2.0 into 2.0
3.543 * [taylor]: Taking taylor expansion of (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2))) in beta
3.544 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
3.544 * [taylor]: Taking taylor expansion of beta in beta
3.544 * [backup-simplify]: Simplify 0 into 0
3.544 * [backup-simplify]: Simplify 1 into 1
3.544 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)) in beta
3.544 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 2) in beta
3.544 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
3.544 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
3.544 * [taylor]: Taking taylor expansion of 2.0 in beta
3.544 * [backup-simplify]: Simplify 2.0 into 2.0
3.544 * [taylor]: Taking taylor expansion of i in beta
3.544 * [backup-simplify]: Simplify i into i
3.544 * [taylor]: Taking taylor expansion of beta in beta
3.544 * [backup-simplify]: Simplify 0 into 0
3.544 * [backup-simplify]: Simplify 1 into 1
3.544 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
3.544 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
3.544 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 2) in beta
3.544 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
3.544 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
3.544 * [taylor]: Taking taylor expansion of 2.0 in beta
3.544 * [backup-simplify]: Simplify 2.0 into 2.0
3.544 * [taylor]: Taking taylor expansion of i in beta
3.544 * [backup-simplify]: Simplify i into i
3.544 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
3.544 * [taylor]: Taking taylor expansion of beta in beta
3.544 * [backup-simplify]: Simplify 0 into 0
3.544 * [backup-simplify]: Simplify 1 into 1
3.544 * [taylor]: Taking taylor expansion of 2.0 in beta
3.544 * [backup-simplify]: Simplify 2.0 into 2.0
3.545 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
3.545 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
3.546 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
3.546 * [backup-simplify]: Simplify (* 1 1) into 1
3.546 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
3.546 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
3.547 * [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)))
3.547 * [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)))
3.547 * [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
3.547 * [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
3.547 * [taylor]: Taking taylor expansion of 4.0 in beta
3.547 * [backup-simplify]: Simplify 4.0 into 4.0
3.547 * [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
3.547 * [taylor]: Taking taylor expansion of (* i (pow beta 2)) in beta
3.547 * [taylor]: Taking taylor expansion of i in beta
3.547 * [backup-simplify]: Simplify i into i
3.547 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
3.547 * [taylor]: Taking taylor expansion of beta in beta
3.547 * [backup-simplify]: Simplify 0 into 0
3.547 * [backup-simplify]: Simplify 1 into 1
3.547 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)) in beta
3.548 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 2) in beta
3.548 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
3.548 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
3.548 * [taylor]: Taking taylor expansion of 2.0 in beta
3.548 * [backup-simplify]: Simplify 2.0 into 2.0
3.548 * [taylor]: Taking taylor expansion of i in beta
3.548 * [backup-simplify]: Simplify i into i
3.548 * [taylor]: Taking taylor expansion of beta in beta
3.548 * [backup-simplify]: Simplify 0 into 0
3.548 * [backup-simplify]: Simplify 1 into 1
3.548 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
3.548 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
3.548 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 2) in beta
3.548 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
3.548 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
3.548 * [taylor]: Taking taylor expansion of 2.0 in beta
3.548 * [backup-simplify]: Simplify 2.0 into 2.0
3.548 * [taylor]: Taking taylor expansion of i in beta
3.548 * [backup-simplify]: Simplify i into i
3.548 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
3.548 * [taylor]: Taking taylor expansion of beta in beta
3.548 * [backup-simplify]: Simplify 0 into 0
3.548 * [backup-simplify]: Simplify 1 into 1
3.548 * [taylor]: Taking taylor expansion of 2.0 in beta
3.548 * [backup-simplify]: Simplify 2.0 into 2.0
3.548 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
3.549 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
3.549 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
3.549 * [backup-simplify]: Simplify (* 1 1) into 1
3.549 * [backup-simplify]: Simplify (* i 1) into i
3.549 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
3.550 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
3.550 * [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)))
3.550 * [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)))
3.550 * [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
3.550 * [taylor]: Taking taylor expansion of 2 in beta
3.550 * [backup-simplify]: Simplify 2 into 2
3.550 * [taylor]: Taking taylor expansion of (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2))) in beta
3.551 * [taylor]: Taking taylor expansion of (pow beta 3) in beta
3.551 * [taylor]: Taking taylor expansion of beta in beta
3.551 * [backup-simplify]: Simplify 0 into 0
3.551 * [backup-simplify]: Simplify 1 into 1
3.551 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)) in beta
3.551 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 2) in beta
3.551 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
3.551 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
3.551 * [taylor]: Taking taylor expansion of 2.0 in beta
3.551 * [backup-simplify]: Simplify 2.0 into 2.0
3.551 * [taylor]: Taking taylor expansion of i in beta
3.551 * [backup-simplify]: Simplify i into i
3.551 * [taylor]: Taking taylor expansion of beta in beta
3.551 * [backup-simplify]: Simplify 0 into 0
3.551 * [backup-simplify]: Simplify 1 into 1
3.551 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
3.551 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
3.551 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 2) in beta
3.551 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
3.551 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
3.551 * [taylor]: Taking taylor expansion of 2.0 in beta
3.551 * [backup-simplify]: Simplify 2.0 into 2.0
3.551 * [taylor]: Taking taylor expansion of i in beta
3.551 * [backup-simplify]: Simplify i into i
3.551 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
3.551 * [taylor]: Taking taylor expansion of beta in beta
3.551 * [backup-simplify]: Simplify 0 into 0
3.551 * [backup-simplify]: Simplify 1 into 1
3.551 * [taylor]: Taking taylor expansion of 2.0 in beta
3.551 * [backup-simplify]: Simplify 2.0 into 2.0
3.551 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
3.552 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
3.552 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
3.552 * [backup-simplify]: Simplify (* 1 1) into 1
3.553 * [backup-simplify]: Simplify (* 1 1) into 1
3.553 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
3.553 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
3.554 * [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)))
3.554 * [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)))
3.555 * [backup-simplify]: Simplify (- 0) into 0
3.555 * [backup-simplify]: Simplify (+ 0 0) into 0
3.555 * [backup-simplify]: Simplify (+ 0 0) into 0
3.556 * [backup-simplify]: Simplify (+ (* beta 0) (+ (* 1 -1) (* 0 beta))) into (- 1)
3.557 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 i))) into 0
3.557 * [backup-simplify]: Simplify (+ 0 0) into 0
3.557 * [backup-simplify]: Simplify (+ 0 0) into 0
3.558 * [backup-simplify]: Simplify (+ 0 0) into 0
3.559 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 i))) into 0
3.559 * [backup-simplify]: Simplify (+ 0 0) into 0
3.559 * [backup-simplify]: Simplify (+ 0 0) into 0
3.560 * [backup-simplify]: Simplify (+ (* (+ (* 2.0 i) beta) 0) (+ (* 1 1) (* 0 (+ (* 2.0 i) (+ beta 2.0))))) into 1
3.567 * [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)))))
3.567 * [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
3.568 * [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
3.568 * [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
3.568 * [taylor]: Taking taylor expansion of 8.0 in beta
3.568 * [backup-simplify]: Simplify 8.0 into 8.0
3.568 * [taylor]: Taking taylor expansion of (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3))) in beta
3.568 * [taylor]: Taking taylor expansion of (pow beta 3) in beta
3.568 * [taylor]: Taking taylor expansion of beta in beta
3.568 * [backup-simplify]: Simplify 0 into 0
3.568 * [backup-simplify]: Simplify 1 into 1
3.568 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)) in beta
3.568 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 3) in beta
3.568 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
3.568 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
3.568 * [taylor]: Taking taylor expansion of 2.0 in beta
3.568 * [backup-simplify]: Simplify 2.0 into 2.0
3.568 * [taylor]: Taking taylor expansion of i in beta
3.568 * [backup-simplify]: Simplify i into i
3.568 * [taylor]: Taking taylor expansion of beta in beta
3.568 * [backup-simplify]: Simplify 0 into 0
3.568 * [backup-simplify]: Simplify 1 into 1
3.568 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
3.568 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
3.568 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 3) in beta
3.568 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
3.568 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
3.568 * [taylor]: Taking taylor expansion of 2.0 in beta
3.568 * [backup-simplify]: Simplify 2.0 into 2.0
3.568 * [taylor]: Taking taylor expansion of i in beta
3.568 * [backup-simplify]: Simplify i into i
3.568 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
3.568 * [taylor]: Taking taylor expansion of beta in beta
3.568 * [backup-simplify]: Simplify 0 into 0
3.568 * [backup-simplify]: Simplify 1 into 1
3.568 * [taylor]: Taking taylor expansion of 2.0 in beta
3.568 * [backup-simplify]: Simplify 2.0 into 2.0
3.568 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
3.569 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
3.569 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
3.569 * [backup-simplify]: Simplify (* 1 1) into 1
3.569 * [backup-simplify]: Simplify (* 1 1) into 1
3.569 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
3.570 * [backup-simplify]: Simplify (* (* 2.0 i) (* 4.0 (pow i 2))) into (* 8.0 (pow i 3))
3.570 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
3.570 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (pow (+ (* 2.0 i) 2.0) 2)) into (pow (+ (* 2.0 i) 2.0) 3)
3.570 * [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)))
3.570 * [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)))
3.570 * [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
3.570 * [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
3.570 * [taylor]: Taking taylor expansion of 16.0 in beta
3.570 * [backup-simplify]: Simplify 16.0 into 16.0
3.570 * [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
3.570 * [taylor]: Taking taylor expansion of (* (pow i 2) (pow beta 2)) in beta
3.570 * [taylor]: Taking taylor expansion of (pow i 2) in beta
3.570 * [taylor]: Taking taylor expansion of i in beta
3.570 * [backup-simplify]: Simplify i into i
3.570 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
3.570 * [taylor]: Taking taylor expansion of beta in beta
3.570 * [backup-simplify]: Simplify 0 into 0
3.570 * [backup-simplify]: Simplify 1 into 1
3.571 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)) in beta
3.571 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 3) in beta
3.571 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
3.571 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
3.571 * [taylor]: Taking taylor expansion of 2.0 in beta
3.571 * [backup-simplify]: Simplify 2.0 into 2.0
3.571 * [taylor]: Taking taylor expansion of i in beta
3.571 * [backup-simplify]: Simplify i into i
3.571 * [taylor]: Taking taylor expansion of beta in beta
3.571 * [backup-simplify]: Simplify 0 into 0
3.571 * [backup-simplify]: Simplify 1 into 1
3.571 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
3.571 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
3.571 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 3) in beta
3.571 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
3.571 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
3.571 * [taylor]: Taking taylor expansion of 2.0 in beta
3.571 * [backup-simplify]: Simplify 2.0 into 2.0
3.571 * [taylor]: Taking taylor expansion of i in beta
3.571 * [backup-simplify]: Simplify i into i
3.571 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
3.571 * [taylor]: Taking taylor expansion of beta in beta
3.571 * [backup-simplify]: Simplify 0 into 0
3.571 * [backup-simplify]: Simplify 1 into 1
3.571 * [taylor]: Taking taylor expansion of 2.0 in beta
3.571 * [backup-simplify]: Simplify 2.0 into 2.0
3.571 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
3.571 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
3.571 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
3.571 * [backup-simplify]: Simplify (* i i) into (pow i 2)
3.572 * [backup-simplify]: Simplify (* 1 1) into 1
3.572 * [backup-simplify]: Simplify (* (pow i 2) 1) into (pow i 2)
3.572 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
3.572 * [backup-simplify]: Simplify (* (* 2.0 i) (* 4.0 (pow i 2))) into (* 8.0 (pow i 3))
3.572 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
3.572 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (pow (+ (* 2.0 i) 2.0) 2)) into (pow (+ (* 2.0 i) 2.0) 3)
3.572 * [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)))
3.573 * [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)))
3.573 * [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
3.573 * [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
3.573 * [taylor]: Taking taylor expansion of 4 in beta
3.573 * [backup-simplify]: Simplify 4 into 4
3.573 * [taylor]: Taking taylor expansion of (/ (pow beta 4) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3))) in beta
3.573 * [taylor]: Taking taylor expansion of (pow beta 4) in beta
3.573 * [taylor]: Taking taylor expansion of beta in beta
3.573 * [backup-simplify]: Simplify 0 into 0
3.573 * [backup-simplify]: Simplify 1 into 1
3.573 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)) in beta
3.573 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 3) in beta
3.573 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
3.573 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
3.573 * [taylor]: Taking taylor expansion of 2.0 in beta
3.573 * [backup-simplify]: Simplify 2.0 into 2.0
3.573 * [taylor]: Taking taylor expansion of i in beta
3.573 * [backup-simplify]: Simplify i into i
3.573 * [taylor]: Taking taylor expansion of beta in beta
3.573 * [backup-simplify]: Simplify 0 into 0
3.573 * [backup-simplify]: Simplify 1 into 1
3.573 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
3.573 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
3.573 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 3) in beta
3.573 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
3.573 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
3.573 * [taylor]: Taking taylor expansion of 2.0 in beta
3.573 * [backup-simplify]: Simplify 2.0 into 2.0
3.573 * [taylor]: Taking taylor expansion of i in beta
3.573 * [backup-simplify]: Simplify i into i
3.573 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
3.573 * [taylor]: Taking taylor expansion of beta in beta
3.573 * [backup-simplify]: Simplify 0 into 0
3.573 * [backup-simplify]: Simplify 1 into 1
3.573 * [taylor]: Taking taylor expansion of 2.0 in beta
3.573 * [backup-simplify]: Simplify 2.0 into 2.0
3.573 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
3.574 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
3.574 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
3.574 * [backup-simplify]: Simplify (* 1 1) into 1
3.574 * [backup-simplify]: Simplify (* 1 1) into 1
3.574 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
3.574 * [backup-simplify]: Simplify (* (* 2.0 i) (* 4.0 (pow i 2))) into (* 8.0 (pow i 3))
3.575 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
3.575 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (pow (+ (* 2.0 i) 2.0) 2)) into (pow (+ (* 2.0 i) 2.0) 3)
3.575 * [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)))
3.575 * [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)))
3.575 * [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
3.575 * [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
3.575 * [taylor]: Taking taylor expansion of 16.0 in beta
3.575 * [backup-simplify]: Simplify 16.0 into 16.0
3.575 * [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
3.575 * [taylor]: Taking taylor expansion of (* i (pow beta 3)) in beta
3.575 * [taylor]: Taking taylor expansion of i in beta
3.575 * [backup-simplify]: Simplify i into i
3.575 * [taylor]: Taking taylor expansion of (pow beta 3) in beta
3.575 * [taylor]: Taking taylor expansion of beta in beta
3.575 * [backup-simplify]: Simplify 0 into 0
3.575 * [backup-simplify]: Simplify 1 into 1
3.575 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)) in beta
3.575 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 3) in beta
3.575 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
3.575 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
3.575 * [taylor]: Taking taylor expansion of 2.0 in beta
3.575 * [backup-simplify]: Simplify 2.0 into 2.0
3.575 * [taylor]: Taking taylor expansion of i in beta
3.575 * [backup-simplify]: Simplify i into i
3.576 * [taylor]: Taking taylor expansion of beta in beta
3.576 * [backup-simplify]: Simplify 0 into 0
3.576 * [backup-simplify]: Simplify 1 into 1
3.576 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
3.576 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
3.576 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 3) in beta
3.576 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
3.576 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
3.576 * [taylor]: Taking taylor expansion of 2.0 in beta
3.576 * [backup-simplify]: Simplify 2.0 into 2.0
3.576 * [taylor]: Taking taylor expansion of i in beta
3.576 * [backup-simplify]: Simplify i into i
3.576 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
3.576 * [taylor]: Taking taylor expansion of beta in beta
3.576 * [backup-simplify]: Simplify 0 into 0
3.576 * [backup-simplify]: Simplify 1 into 1
3.576 * [taylor]: Taking taylor expansion of 2.0 in beta
3.576 * [backup-simplify]: Simplify 2.0 into 2.0
3.576 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
3.576 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
3.576 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
3.577 * [backup-simplify]: Simplify (* 1 1) into 1
3.577 * [backup-simplify]: Simplify (* 1 1) into 1
3.577 * [backup-simplify]: Simplify (* i 1) into i
3.577 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
3.577 * [backup-simplify]: Simplify (* (* 2.0 i) (* 4.0 (pow i 2))) into (* 8.0 (pow i 3))
3.577 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
3.577 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (pow (+ (* 2.0 i) 2.0) 2)) into (pow (+ (* 2.0 i) 2.0) 3)
3.577 * [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)))
3.578 * [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)))
3.578 * [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
3.578 * [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
3.578 * [taylor]: Taking taylor expansion of 16.0 in beta
3.578 * [backup-simplify]: Simplify 16.0 into 16.0
3.578 * [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
3.578 * [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) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)) in beta
3.578 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 3) 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)) 3) 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) (* 4.0 (pow i 2))) into (* 8.0 (pow i 3))
3.579 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
3.579 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (pow (+ (* 2.0 i) 2.0) 2)) into (pow (+ (* 2.0 i) 2.0) 3)
3.580 * [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)))
3.580 * [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)))
3.580 * [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
3.580 * [taylor]: Taking taylor expansion of 4.0 in beta
3.580 * [backup-simplify]: Simplify 4.0 into 4.0
3.580 * [taylor]: Taking taylor expansion of (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3))) in beta
3.580 * [taylor]: Taking taylor expansion of (pow beta 2) 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) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)) in beta
3.580 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 3) 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)) 3) 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
3.581 * [backup-simplify]: Simplify 1 into 1
3.581 * [taylor]: Taking taylor expansion of 2.0 in beta
3.581 * [backup-simplify]: Simplify 2.0 into 2.0
3.581 * [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
3.581 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
3.581 * [backup-simplify]: Simplify (* (* 2.0 i) (* 4.0 (pow i 2))) into (* 8.0 (pow i 3))
3.581 * [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 (* (+ (* 2.0 i) 2.0) (pow (+ (* 2.0 i) 2.0) 2)) into (pow (+ (* 2.0 i) 2.0) 3)
3.582 * [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)))
3.582 * [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)))
3.582 * [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
3.582 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))) in beta
3.582 * [taylor]: Taking taylor expansion of (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0))) 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
3.582 * [backup-simplify]: Simplify 0 into 0
3.582 * [backup-simplify]: Simplify 1 into 1
3.582 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) 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 2.0) 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 2.0 in beta
3.582 * [backup-simplify]: Simplify 2.0 into 2.0
3.582 * [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 * [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 (* (* 2.0 i) (+ (* 2.0 i) 2.0)) into (* 2.0 (* i (+ (* 2.0 i) 2.0)))
3.583 * [backup-simplify]: Simplify (/ 1 (* 2.0 (* i (+ (* 2.0 i) 2.0)))) into (/ 0.5 (* i (+ (* 2.0 i) 2.0)))
3.583 * [taylor]: Taking taylor expansion of (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2))) in beta
3.583 * [taylor]: Taking taylor expansion of (pow beta 2) 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 (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)) in beta
3.583 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 2) in beta
3.583 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) 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 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)
3.584 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 2) in beta
3.584 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
3.584 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
3.584 * [taylor]: Taking taylor expansion of 2.0 in beta
3.584 * [backup-simplify]: Simplify 2.0 into 2.0
3.584 * [taylor]: Taking taylor expansion of i in beta
3.584 * [backup-simplify]: Simplify i into i
3.584 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
3.584 * [taylor]: Taking taylor expansion of beta in beta
3.584 * [backup-simplify]: Simplify 0 into 0
3.584 * [backup-simplify]: Simplify 1 into 1
3.584 * [taylor]: Taking taylor expansion of 2.0 in beta
3.584 * [backup-simplify]: Simplify 2.0 into 2.0
3.584 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
3.584 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
3.584 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
3.584 * [backup-simplify]: Simplify (* 1 1) into 1
3.584 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
3.585 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
3.585 * [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)))
3.585 * [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)))
3.585 * [backup-simplify]: Simplify (+ (/ 0.5 (* i (+ (* 2.0 i) 2.0))) 0) into (* 0.5 (/ 1 (* i (+ (* 2.0 i) 2.0))))
3.585 * [backup-simplify]: Simplify (- (* 0.5 (/ 1 (* i (+ (* 2.0 i) 2.0))))) into (- (* 0.5 (/ 1 (* i (+ (* 2.0 i) 2.0)))))
3.585 * [backup-simplify]: Simplify (+ 0 (- (* 0.5 (/ 1 (* i (+ (* 2.0 i) 2.0)))))) into (- (* 0.5 (/ 1 (* i (+ (* 2.0 i) 2.0)))))
3.585 * [taylor]: Taking taylor expansion of (- (* 0.5 (/ 1 (* i (+ (* 2.0 i) 2.0))))) in i
3.585 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (* i (+ (* 2.0 i) 2.0)))) in i
3.585 * [taylor]: Taking taylor expansion of 0.5 in i
3.585 * [backup-simplify]: Simplify 0.5 into 0.5
3.585 * [taylor]: Taking taylor expansion of (/ 1 (* i (+ (* 2.0 i) 2.0))) in i
3.585 * [taylor]: Taking taylor expansion of (* i (+ (* 2.0 i) 2.0)) in i
3.585 * [taylor]: Taking taylor expansion of i in i
3.586 * [backup-simplify]: Simplify 0 into 0
3.586 * [backup-simplify]: Simplify 1 into 1
3.586 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) 2.0) in i
3.586 * [taylor]: Taking taylor expansion of (* 2.0 i) in i
3.586 * [taylor]: Taking taylor expansion of 2.0 in i
3.586 * [backup-simplify]: Simplify 2.0 into 2.0
3.586 * [taylor]: Taking taylor expansion of i in i
3.586 * [backup-simplify]: Simplify 0 into 0
3.586 * [backup-simplify]: Simplify 1 into 1
3.586 * [taylor]: Taking taylor expansion of 2.0 in i
3.586 * [backup-simplify]: Simplify 2.0 into 2.0
3.586 * [backup-simplify]: Simplify (* 2.0 0) into 0
3.586 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
3.586 * [backup-simplify]: Simplify (* 0 2.0) into 0
3.593 * [backup-simplify]: Simplify (+ (* 2.0 1) (* 0 0)) into 2.0
3.593 * [backup-simplify]: Simplify (+ 2.0 0) into 2.0
3.594 * [backup-simplify]: Simplify (+ (* 0 2.0) (* 1 2.0)) into 2.0
3.594 * [backup-simplify]: Simplify (/ 1 2.0) into 0.5
3.595 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 1) (* 0 0))) into 0
3.595 * [backup-simplify]: Simplify (+ 0 0) into 0
3.598 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 2.0) (* 0 2.0))) into 2.0
3.600 * [backup-simplify]: Simplify (- (+ (* 0.5 (/ 2.0 2.0)))) into (- 0.5)
3.602 * [backup-simplify]: Simplify (+ (* 0.5 (- 0.5)) (* 0 0.5)) into (- 0.25)
3.603 * [backup-simplify]: Simplify (- (- 0.25)) into 0.25
3.603 * [backup-simplify]: Simplify 0.25 into 0.25
3.603 * [taylor]: Taking taylor expansion of (/ 0.5 (* i (+ (* 2.0 i) 2.0))) in i
3.603 * [taylor]: Taking taylor expansion of 0.5 in i
3.603 * [backup-simplify]: Simplify 0.5 into 0.5
3.603 * [taylor]: Taking taylor expansion of (* i (+ (* 2.0 i) 2.0)) in i
3.603 * [taylor]: Taking taylor expansion of i in i
3.603 * [backup-simplify]: Simplify 0 into 0
3.603 * [backup-simplify]: Simplify 1 into 1
3.603 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) 2.0) in i
3.603 * [taylor]: Taking taylor expansion of (* 2.0 i) in i
3.603 * [taylor]: Taking taylor expansion of 2.0 in i
3.603 * [backup-simplify]: Simplify 2.0 into 2.0
3.603 * [taylor]: Taking taylor expansion of i in i
3.603 * [backup-simplify]: Simplify 0 into 0
3.603 * [backup-simplify]: Simplify 1 into 1
3.603 * [taylor]: Taking taylor expansion of 2.0 in i
3.603 * [backup-simplify]: Simplify 2.0 into 2.0
3.604 * [backup-simplify]: Simplify (* 2.0 0) into 0
3.604 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
3.605 * [backup-simplify]: Simplify (* 0 2.0) into 0
3.606 * [backup-simplify]: Simplify (+ (* 2.0 1) (* 0 0)) into 2.0
3.607 * [backup-simplify]: Simplify (+ 2.0 0) into 2.0
3.609 * [backup-simplify]: Simplify (+ (* 0 2.0) (* 1 2.0)) into 2.0
3.609 * [backup-simplify]: Simplify (/ 0.5 2.0) into 0.25
3.610 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 1) (* 0 0))) into 0
3.610 * [backup-simplify]: Simplify (+ 0 0) into 0
3.613 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 2.0) (* 0 2.0))) into 2.0
3.616 * [backup-simplify]: Simplify (- (/ 0 2.0) (+ (* 0.25 (/ 2.0 2.0)))) into (- 0.25)
3.616 * [backup-simplify]: Simplify (- 0.25) into (- 0.25)
3.617 * [backup-simplify]: Simplify (- 0) into 0
3.617 * [backup-simplify]: Simplify (+ 0 0) into 0
3.618 * [backup-simplify]: Simplify (+ 0 0) into 0
3.619 * [backup-simplify]: Simplify (+ (* beta 0) (+ (* 1 0) (+ (* 0 -1) (* 0 beta)))) into 0
3.620 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 i)))) into 0
3.620 * [backup-simplify]: Simplify (+ 0 0) into 0
3.620 * [backup-simplify]: Simplify (+ 0 0) into 0
3.621 * [backup-simplify]: Simplify (+ 0 0) into 0
3.622 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 i)))) into 0
3.622 * [backup-simplify]: Simplify (+ 0 0) into 0
3.623 * [backup-simplify]: Simplify (+ 0 0) into 0
3.624 * [backup-simplify]: Simplify (+ (* (+ (* 2.0 i) beta) 0) (+ (* 1 0) (+ (* 0 1) (* 0 (+ (* 2.0 i) (+ beta 2.0)))))) into 0
3.640 * [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))))))))))))))
3.640 * [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
3.640 * [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
3.640 * [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
3.640 * [taylor]: Taking taylor expansion of 4 in beta
3.640 * [backup-simplify]: Simplify 4 into 4
3.640 * [taylor]: Taking taylor expansion of (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3))) in beta
3.640 * [taylor]: Taking taylor expansion of (pow beta 3) in beta
3.640 * [taylor]: Taking taylor expansion of beta in beta
3.640 * [backup-simplify]: Simplify 0 into 0
3.640 * [backup-simplify]: Simplify 1 into 1
3.640 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)) in beta
3.640 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 3) in beta
3.640 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
3.640 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
3.640 * [taylor]: Taking taylor expansion of 2.0 in beta
3.640 * [backup-simplify]: Simplify 2.0 into 2.0
3.641 * [taylor]: Taking taylor expansion of i in beta
3.641 * [backup-simplify]: Simplify i into i
3.641 * [taylor]: Taking taylor expansion of beta in beta
3.641 * [backup-simplify]: Simplify 0 into 0
3.641 * [backup-simplify]: Simplify 1 into 1
3.641 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
3.641 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
3.641 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 3) in beta
3.641 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
3.641 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
3.641 * [taylor]: Taking taylor expansion of 2.0 in beta
3.641 * [backup-simplify]: Simplify 2.0 into 2.0
3.641 * [taylor]: Taking taylor expansion of i in beta
3.641 * [backup-simplify]: Simplify i into i
3.641 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
3.641 * [taylor]: Taking taylor expansion of beta in beta
3.641 * [backup-simplify]: Simplify 0 into 0
3.641 * [backup-simplify]: Simplify 1 into 1
3.641 * [taylor]: Taking taylor expansion of 2.0 in beta
3.641 * [backup-simplify]: Simplify 2.0 into 2.0
3.641 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
3.641 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
3.641 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
3.642 * [backup-simplify]: Simplify (* 1 1) into 1
3.642 * [backup-simplify]: Simplify (* 1 1) into 1
3.642 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
3.642 * [backup-simplify]: Simplify (* (* 2.0 i) (* 4.0 (pow i 2))) into (* 8.0 (pow i 3))
3.642 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
3.643 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (pow (+ (* 2.0 i) 2.0) 2)) into (pow (+ (* 2.0 i) 2.0) 3)
3.643 * [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)))
3.643 * [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)))
3.643 * [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
3.643 * [taylor]: Taking taylor expansion of (* 4.0 (/ i (* (pow (+ (* 2.0 i) (+ beta 2.0)) 2) (pow (+ (* 2.0 i) beta) 2)))) in beta
3.643 * [taylor]: Taking taylor expansion of 4.0 in beta
3.643 * [backup-simplify]: Simplify 4.0 into 4.0
3.643 * [taylor]: Taking taylor expansion of (/ i (* (pow (+ (* 2.0 i) (+ beta 2.0)) 2) (pow (+ (* 2.0 i) beta) 2))) in beta
3.643 * [taylor]: Taking taylor expansion of i in beta
3.643 * [backup-simplify]: Simplify i into i
3.643 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) (+ beta 2.0)) 2) (pow (+ (* 2.0 i) beta) 2)) in beta
3.643 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 2) in beta
3.643 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
3.643 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
3.643 * [taylor]: Taking taylor expansion of 2.0 in beta
3.643 * [backup-simplify]: Simplify 2.0 into 2.0
3.643 * [taylor]: Taking taylor expansion of i in beta
3.643 * [backup-simplify]: Simplify i into i
3.643 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
3.643 * [taylor]: Taking taylor expansion of beta in beta
3.643 * [backup-simplify]: Simplify 0 into 0
3.643 * [backup-simplify]: Simplify 1 into 1
3.643 * [taylor]: Taking taylor expansion of 2.0 in beta
3.643 * [backup-simplify]: Simplify 2.0 into 2.0
3.643 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
3.644 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
3.644 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
3.644 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 2) in beta
3.644 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
3.644 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
3.644 * [taylor]: Taking taylor expansion of 2.0 in beta
3.644 * [backup-simplify]: Simplify 2.0 into 2.0
3.644 * [taylor]: Taking taylor expansion of i in beta
3.644 * [backup-simplify]: Simplify i into i
3.644 * [taylor]: Taking taylor expansion of beta in beta
3.644 * [backup-simplify]: Simplify 0 into 0
3.644 * [backup-simplify]: Simplify 1 into 1
3.644 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
3.644 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
3.644 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
3.644 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
3.644 * [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)))
3.645 * [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)))
3.645 * [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
3.645 * [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
3.645 * [taylor]: Taking taylor expansion of 8.0 in beta
3.645 * [backup-simplify]: Simplify 8.0 into 8.0
3.645 * [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
3.645 * [taylor]: Taking taylor expansion of (* i (pow beta 2)) in beta
3.645 * [taylor]: Taking taylor expansion of i in beta
3.645 * [backup-simplify]: Simplify i into i
3.645 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
3.645 * [taylor]: Taking taylor expansion of beta in beta
3.645 * [backup-simplify]: Simplify 0 into 0
3.645 * [backup-simplify]: Simplify 1 into 1
3.645 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)) in beta
3.645 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 3) in beta
3.645 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
3.645 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
3.645 * [taylor]: Taking taylor expansion of 2.0 in beta
3.645 * [backup-simplify]: Simplify 2.0 into 2.0
3.645 * [taylor]: Taking taylor expansion of i in beta
3.645 * [backup-simplify]: Simplify i into i
3.645 * [taylor]: Taking taylor expansion of beta in beta
3.645 * [backup-simplify]: Simplify 0 into 0
3.645 * [backup-simplify]: Simplify 1 into 1
3.645 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
3.645 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
3.645 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 3) in beta
3.645 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
3.645 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
3.645 * [taylor]: Taking taylor expansion of 2.0 in beta
3.645 * [backup-simplify]: Simplify 2.0 into 2.0
3.645 * [taylor]: Taking taylor expansion of i in beta
3.645 * [backup-simplify]: Simplify i into i
3.645 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
3.645 * [taylor]: Taking taylor expansion of beta in beta
3.645 * [backup-simplify]: Simplify 0 into 0
3.645 * [backup-simplify]: Simplify 1 into 1
3.645 * [taylor]: Taking taylor expansion of 2.0 in beta
3.645 * [backup-simplify]: Simplify 2.0 into 2.0
3.645 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
3.646 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
3.646 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
3.646 * [backup-simplify]: Simplify (* 1 1) into 1
3.646 * [backup-simplify]: Simplify (* i 1) into i
3.646 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
3.646 * [backup-simplify]: Simplify (* (* 2.0 i) (* 4.0 (pow i 2))) into (* 8.0 (pow i 3))
3.646 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
3.647 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (pow (+ (* 2.0 i) 2.0) 2)) into (pow (+ (* 2.0 i) 2.0) 3)
3.647 * [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)))
3.647 * [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)))
3.647 * [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
3.647 * [taylor]: Taking taylor expansion of (* 2 (/ beta (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) in beta
3.647 * [taylor]: Taking taylor expansion of 2 in beta
3.647 * [backup-simplify]: Simplify 2 into 2
3.647 * [taylor]: Taking taylor expansion of (/ beta (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2))) in beta
3.647 * [taylor]: Taking taylor expansion of beta in beta
3.647 * [backup-simplify]: Simplify 0 into 0
3.647 * [backup-simplify]: Simplify 1 into 1
3.647 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)) in beta
3.647 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 2) in beta
3.647 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
3.647 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
3.647 * [taylor]: Taking taylor expansion of 2.0 in beta
3.647 * [backup-simplify]: Simplify 2.0 into 2.0
3.647 * [taylor]: Taking taylor expansion of i in beta
3.647 * [backup-simplify]: Simplify i into i
3.647 * [taylor]: Taking taylor expansion of beta in beta
3.647 * [backup-simplify]: Simplify 0 into 0
3.647 * [backup-simplify]: Simplify 1 into 1
3.647 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
3.647 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
3.647 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 2) in beta
3.647 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
3.647 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
3.648 * [taylor]: Taking taylor expansion of 2.0 in beta
3.648 * [backup-simplify]: Simplify 2.0 into 2.0
3.648 * [taylor]: Taking taylor expansion of i in beta
3.648 * [backup-simplify]: Simplify i into i
3.648 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
3.648 * [taylor]: Taking taylor expansion of beta in beta
3.648 * [backup-simplify]: Simplify 0 into 0
3.648 * [backup-simplify]: Simplify 1 into 1
3.648 * [taylor]: Taking taylor expansion of 2.0 in beta
3.648 * [backup-simplify]: Simplify 2.0 into 2.0
3.648 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
3.648 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
3.648 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
3.648 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
3.648 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
3.648 * [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)))
3.649 * [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)))
3.649 * [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
3.649 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) in beta
3.649 * [taylor]: Taking taylor expansion of 2.0 in beta
3.649 * [backup-simplify]: Simplify 2.0 into 2.0
3.649 * [taylor]: Taking taylor expansion of (/ 1 (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2))) in beta
3.649 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)) in beta
3.649 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 2) in beta
3.649 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
3.649 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
3.649 * [taylor]: Taking taylor expansion of 2.0 in beta
3.649 * [backup-simplify]: Simplify 2.0 into 2.0
3.649 * [taylor]: Taking taylor expansion of i in beta
3.649 * [backup-simplify]: Simplify i into i
3.649 * [taylor]: Taking taylor expansion of beta in beta
3.649 * [backup-simplify]: Simplify 0 into 0
3.649 * [backup-simplify]: Simplify 1 into 1
3.649 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
3.649 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
3.649 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 2) in beta
3.649 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
3.649 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
3.649 * [taylor]: Taking taylor expansion of 2.0 in beta
3.649 * [backup-simplify]: Simplify 2.0 into 2.0
3.649 * [taylor]: Taking taylor expansion of i in beta
3.649 * [backup-simplify]: Simplify i into i
3.649 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
3.649 * [taylor]: Taking taylor expansion of beta in beta
3.649 * [backup-simplify]: Simplify 0 into 0
3.649 * [backup-simplify]: Simplify 1 into 1
3.649 * [taylor]: Taking taylor expansion of 2.0 in beta
3.649 * [backup-simplify]: Simplify 2.0 into 2.0
3.649 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
3.650 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
3.650 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
3.650 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
3.650 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
3.650 * [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)))
3.650 * [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)))
3.650 * [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
3.650 * [taylor]: Taking taylor expansion of 4.0 in beta
3.650 * [backup-simplify]: Simplify 4.0 into 4.0
3.650 * [taylor]: Taking taylor expansion of (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3))) in beta
3.650 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
3.650 * [taylor]: Taking taylor expansion of beta in beta
3.650 * [backup-simplify]: Simplify 0 into 0
3.650 * [backup-simplify]: Simplify 1 into 1
3.650 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)) in beta
3.651 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 3) in beta
3.651 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
3.651 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
3.651 * [taylor]: Taking taylor expansion of 2.0 in beta
3.651 * [backup-simplify]: Simplify 2.0 into 2.0
3.651 * [taylor]: Taking taylor expansion of i in beta
3.651 * [backup-simplify]: Simplify i into i
3.651 * [taylor]: Taking taylor expansion of beta in beta
3.651 * [backup-simplify]: Simplify 0 into 0
3.651 * [backup-simplify]: Simplify 1 into 1
3.651 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
3.651 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
3.651 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 3) in beta
3.651 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
3.651 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
3.651 * [taylor]: Taking taylor expansion of 2.0 in beta
3.651 * [backup-simplify]: Simplify 2.0 into 2.0
3.651 * [taylor]: Taking taylor expansion of i in beta
3.651 * [backup-simplify]: Simplify i into i
3.651 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
3.651 * [taylor]: Taking taylor expansion of beta in beta
3.651 * [backup-simplify]: Simplify 0 into 0
3.651 * [backup-simplify]: Simplify 1 into 1
3.651 * [taylor]: Taking taylor expansion of 2.0 in beta
3.651 * [backup-simplify]: Simplify 2.0 into 2.0
3.651 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
3.651 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
3.651 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
3.652 * [backup-simplify]: Simplify (* 1 1) into 1
3.652 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
3.652 * [backup-simplify]: Simplify (* (* 2.0 i) (* 4.0 (pow i 2))) into (* 8.0 (pow i 3))
3.652 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
3.652 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (pow (+ (* 2.0 i) 2.0) 2)) into (pow (+ (* 2.0 i) 2.0) 3)
3.652 * [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)))
3.653 * [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)))
3.653 * [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
3.653 * [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
3.653 * [taylor]: Taking taylor expansion of 48.0 in beta
3.653 * [backup-simplify]: Simplify 48.0 into 48.0
3.653 * [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
3.653 * [taylor]: Taking taylor expansion of (* i (pow beta 4)) in beta
3.653 * [taylor]: Taking taylor expansion of i in beta
3.653 * [backup-simplify]: Simplify i into i
3.653 * [taylor]: Taking taylor expansion of (pow beta 4) 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 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)) in beta
3.653 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 4) in beta
3.653 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
3.653 * [taylor]: Taking taylor expansion of (* 2.0 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 i in beta
3.653 * [backup-simplify]: Simplify i into i
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 (* 2.0 i) into (* 2.0 i)
3.653 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
3.653 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 4) in beta
3.653 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
3.653 * [taylor]: Taking taylor expansion of (* 2.0 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 i in beta
3.653 * [backup-simplify]: Simplify i into i
3.653 * [taylor]: Taking taylor expansion of (+ beta 2.0) 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 * [taylor]: Taking taylor expansion of 2.0 in beta
3.653 * [backup-simplify]: Simplify 2.0 into 2.0
3.653 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
3.654 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
3.654 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
3.654 * [backup-simplify]: Simplify (* 1 1) into 1
3.654 * [backup-simplify]: Simplify (* 1 1) into 1
3.654 * [backup-simplify]: Simplify (* i 1) into i
3.654 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
3.655 * [backup-simplify]: Simplify (* (* 4.0 (pow i 2)) (* 4.0 (pow i 2))) into (* 16.0 (pow i 4))
3.655 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
3.655 * [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)
3.655 * [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)))
3.655 * [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)))
3.655 * [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
3.655 * [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
3.655 * [taylor]: Taking taylor expansion of 24.0 in beta
3.655 * [backup-simplify]: Simplify 24.0 into 24.0
3.655 * [taylor]: Taking taylor expansion of (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4))) in beta
3.655 * [taylor]: Taking taylor expansion of (pow beta 3) in beta
3.655 * [taylor]: Taking taylor expansion of beta in beta
3.655 * [backup-simplify]: Simplify 0 into 0
3.655 * [backup-simplify]: Simplify 1 into 1
3.656 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)) in beta
3.656 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 4) in beta
3.656 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
3.656 * [taylor]: Taking taylor expansion of (* 2.0 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 i in beta
3.656 * [backup-simplify]: Simplify i into i
3.656 * [taylor]: Taking taylor expansion of beta in beta
3.656 * [backup-simplify]: Simplify 0 into 0
3.656 * [backup-simplify]: Simplify 1 into 1
3.656 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
3.656 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
3.656 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 4) in beta
3.656 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
3.656 * [taylor]: Taking taylor expansion of (* 2.0 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 i in beta
3.656 * [backup-simplify]: Simplify i into i
3.656 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
3.656 * [taylor]: Taking taylor expansion of beta in beta
3.656 * [backup-simplify]: Simplify 0 into 0
3.656 * [backup-simplify]: Simplify 1 into 1
3.656 * [taylor]: Taking taylor expansion of 2.0 in beta
3.656 * [backup-simplify]: Simplify 2.0 into 2.0
3.656 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
3.656 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
3.656 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
3.657 * [backup-simplify]: Simplify (* 1 1) into 1
3.657 * [backup-simplify]: Simplify (* 1 1) into 1
3.657 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
3.657 * [backup-simplify]: Simplify (* (* 4.0 (pow i 2)) (* 4.0 (pow i 2))) into (* 16.0 (pow i 4))
3.657 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
3.657 * [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)
3.658 * [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)))
3.658 * [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)))
3.658 * [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
3.658 * [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
3.658 * [taylor]: Taking taylor expansion of 96.0 in beta
3.658 * [backup-simplify]: Simplify 96.0 into 96.0
3.658 * [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
3.658 * [taylor]: Taking taylor expansion of (* i (pow beta 3)) in beta
3.658 * [taylor]: Taking taylor expansion of i in beta
3.658 * [backup-simplify]: Simplify i into i
3.658 * [taylor]: Taking taylor expansion of (pow beta 3) in beta
3.658 * [taylor]: Taking taylor expansion of beta in beta
3.658 * [backup-simplify]: Simplify 0 into 0
3.658 * [backup-simplify]: Simplify 1 into 1
3.658 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)) in beta
3.658 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 4) in beta
3.658 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
3.658 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
3.658 * [taylor]: Taking taylor expansion of 2.0 in beta
3.658 * [backup-simplify]: Simplify 2.0 into 2.0
3.658 * [taylor]: Taking taylor expansion of i in beta
3.658 * [backup-simplify]: Simplify i into i
3.658 * [taylor]: Taking taylor expansion of beta in beta
3.658 * [backup-simplify]: Simplify 0 into 0
3.658 * [backup-simplify]: Simplify 1 into 1
3.658 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
3.658 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
3.658 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 4) in beta
3.658 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
3.658 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
3.658 * [taylor]: Taking taylor expansion of 2.0 in beta
3.658 * [backup-simplify]: Simplify 2.0 into 2.0
3.659 * [taylor]: Taking taylor expansion of i in beta
3.659 * [backup-simplify]: Simplify i into i
3.659 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
3.659 * [taylor]: Taking taylor expansion of beta in beta
3.659 * [backup-simplify]: Simplify 0 into 0
3.659 * [backup-simplify]: Simplify 1 into 1
3.659 * [taylor]: Taking taylor expansion of 2.0 in beta
3.659 * [backup-simplify]: Simplify 2.0 into 2.0
3.659 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
3.659 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
3.659 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
3.659 * [backup-simplify]: Simplify (* 1 1) into 1
3.660 * [backup-simplify]: Simplify (* 1 1) into 1
3.660 * [backup-simplify]: Simplify (* i 1) into i
3.660 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
3.660 * [backup-simplify]: Simplify (* (* 4.0 (pow i 2)) (* 4.0 (pow i 2))) into (* 16.0 (pow i 4))
3.660 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
3.660 * [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)
3.660 * [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)))
3.661 * [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)))
3.661 * [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
3.661 * [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
3.661 * [taylor]: Taking taylor expansion of 8 in beta
3.661 * [backup-simplify]: Simplify 8 into 8
3.661 * [taylor]: Taking taylor expansion of (/ (pow beta 5) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4))) in beta
3.661 * [taylor]: Taking taylor expansion of (pow beta 5) in beta
3.661 * [taylor]: Taking taylor expansion of beta in beta
3.661 * [backup-simplify]: Simplify 0 into 0
3.661 * [backup-simplify]: Simplify 1 into 1
3.661 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)) in beta
3.661 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 4) in beta
3.661 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
3.661 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
3.661 * [taylor]: Taking taylor expansion of 2.0 in beta
3.661 * [backup-simplify]: Simplify 2.0 into 2.0
3.661 * [taylor]: Taking taylor expansion of i in beta
3.661 * [backup-simplify]: Simplify i into i
3.661 * [taylor]: Taking taylor expansion of beta in beta
3.661 * [backup-simplify]: Simplify 0 into 0
3.661 * [backup-simplify]: Simplify 1 into 1
3.661 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
3.661 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
3.661 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 4) in beta
3.661 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
3.661 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
3.661 * [taylor]: Taking taylor expansion of 2.0 in beta
3.661 * [backup-simplify]: Simplify 2.0 into 2.0
3.661 * [taylor]: Taking taylor expansion of i in beta
3.661 * [backup-simplify]: Simplify i into i
3.661 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
3.661 * [taylor]: Taking taylor expansion of beta in beta
3.661 * [backup-simplify]: Simplify 0 into 0
3.661 * [backup-simplify]: Simplify 1 into 1
3.661 * [taylor]: Taking taylor expansion of 2.0 in beta
3.661 * [backup-simplify]: Simplify 2.0 into 2.0
3.661 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
3.662 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
3.662 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
3.662 * [backup-simplify]: Simplify (* 1 1) into 1
3.662 * [backup-simplify]: Simplify (* 1 1) into 1
3.662 * [backup-simplify]: Simplify (* 1 1) into 1
3.662 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
3.663 * [backup-simplify]: Simplify (* (* 4.0 (pow i 2)) (* 4.0 (pow i 2))) into (* 16.0 (pow i 4))
3.663 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
3.663 * [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)
3.663 * [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)))
3.663 * [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)))
3.664 * [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
3.664 * [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
3.664 * [taylor]: Taking taylor expansion of 64.0 in beta
3.664 * [backup-simplify]: Simplify 64.0 into 64.0
3.664 * [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
3.664 * [taylor]: Taking taylor expansion of (* (pow i 3) (pow beta 2)) in beta
3.664 * [taylor]: Taking taylor expansion of (pow i 3) in beta
3.664 * [taylor]: Taking taylor expansion of i in beta
3.664 * [backup-simplify]: Simplify i into i
3.664 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
3.664 * [taylor]: Taking taylor expansion of beta in beta
3.664 * [backup-simplify]: Simplify 0 into 0
3.664 * [backup-simplify]: Simplify 1 into 1
3.664 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)) in beta
3.664 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 4) in beta
3.664 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
3.664 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
3.664 * [taylor]: Taking taylor expansion of 2.0 in beta
3.664 * [backup-simplify]: Simplify 2.0 into 2.0
3.664 * [taylor]: Taking taylor expansion of i in beta
3.664 * [backup-simplify]: Simplify i into i
3.664 * [taylor]: Taking taylor expansion of beta in beta
3.664 * [backup-simplify]: Simplify 0 into 0
3.664 * [backup-simplify]: Simplify 1 into 1
3.665 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
3.665 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
3.665 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 4) in beta
3.665 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
3.665 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
3.665 * [taylor]: Taking taylor expansion of 2.0 in beta
3.665 * [backup-simplify]: Simplify 2.0 into 2.0
3.665 * [taylor]: Taking taylor expansion of i in beta
3.665 * [backup-simplify]: Simplify i into i
3.665 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
3.665 * [taylor]: Taking taylor expansion of beta in beta
3.665 * [backup-simplify]: Simplify 0 into 0
3.665 * [backup-simplify]: Simplify 1 into 1
3.665 * [taylor]: Taking taylor expansion of 2.0 in beta
3.665 * [backup-simplify]: Simplify 2.0 into 2.0
3.665 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
3.666 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
3.666 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
3.666 * [backup-simplify]: Simplify (* i i) into (pow i 2)
3.666 * [backup-simplify]: Simplify (* i (pow i 2)) into (pow i 3)
3.666 * [backup-simplify]: Simplify (* 1 1) into 1
3.666 * [backup-simplify]: Simplify (* (pow i 3) 1) into (pow i 3)
3.667 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
3.667 * [backup-simplify]: Simplify (* (* 4.0 (pow i 2)) (* 4.0 (pow i 2))) into (* 16.0 (pow i 4))
3.667 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
3.667 * [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)
3.668 * [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)))
3.668 * [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)))
3.668 * [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
3.668 * [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
3.668 * [taylor]: Taking taylor expansion of 96.0 in beta
3.668 * [backup-simplify]: Simplify 96.0 into 96.0
3.668 * [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
3.668 * [taylor]: Taking taylor expansion of (* (pow i 2) (pow beta 3)) in beta
3.668 * [taylor]: Taking taylor expansion of (pow i 2) in beta
3.668 * [taylor]: Taking taylor expansion of i in beta
3.668 * [backup-simplify]: Simplify i into i
3.668 * [taylor]: Taking taylor expansion of (pow beta 3) in beta
3.668 * [taylor]: Taking taylor expansion of beta in beta
3.669 * [backup-simplify]: Simplify 0 into 0
3.669 * [backup-simplify]: Simplify 1 into 1
3.669 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)) in beta
3.669 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 4) in beta
3.669 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
3.669 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
3.669 * [taylor]: Taking taylor expansion of 2.0 in beta
3.669 * [backup-simplify]: Simplify 2.0 into 2.0
3.669 * [taylor]: Taking taylor expansion of i in beta
3.669 * [backup-simplify]: Simplify i into i
3.669 * [taylor]: Taking taylor expansion of beta in beta
3.669 * [backup-simplify]: Simplify 0 into 0
3.669 * [backup-simplify]: Simplify 1 into 1
3.669 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
3.669 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
3.669 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 4) in beta
3.669 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
3.669 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
3.669 * [taylor]: Taking taylor expansion of 2.0 in beta
3.669 * [backup-simplify]: Simplify 2.0 into 2.0
3.669 * [taylor]: Taking taylor expansion of i in beta
3.669 * [backup-simplify]: Simplify i into i
3.669 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
3.669 * [taylor]: Taking taylor expansion of beta in beta
3.669 * [backup-simplify]: Simplify 0 into 0
3.669 * [backup-simplify]: Simplify 1 into 1
3.669 * [taylor]: Taking taylor expansion of 2.0 in beta
3.669 * [backup-simplify]: Simplify 2.0 into 2.0
3.669 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
3.670 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
3.670 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
3.670 * [backup-simplify]: Simplify (* i i) into (pow i 2)
3.671 * [backup-simplify]: Simplify (* 1 1) into 1
3.671 * [backup-simplify]: Simplify (* 1 1) into 1
3.671 * [backup-simplify]: Simplify (* (pow i 2) 1) into (pow i 2)
3.671 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
3.672 * [backup-simplify]: Simplify (* (* 4.0 (pow i 2)) (* 4.0 (pow i 2))) into (* 16.0 (pow i 4))
3.672 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
3.672 * [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)
3.672 * [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)))
3.673 * [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)))
3.673 * [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
3.673 * [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
3.673 * [taylor]: Taking taylor expansion of 24.0 in beta
3.673 * [backup-simplify]: Simplify 24.0 into 24.0
3.673 * [taylor]: Taking taylor expansion of (/ (pow beta 4) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4))) in beta
3.673 * [taylor]: Taking taylor expansion of (pow beta 4) in beta
3.673 * [taylor]: Taking taylor expansion of beta in beta
3.673 * [backup-simplify]: Simplify 0 into 0
3.673 * [backup-simplify]: Simplify 1 into 1
3.673 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)) in beta
3.673 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 4) in beta
3.673 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
3.673 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
3.673 * [taylor]: Taking taylor expansion of 2.0 in beta
3.673 * [backup-simplify]: Simplify 2.0 into 2.0
3.673 * [taylor]: Taking taylor expansion of i in beta
3.673 * [backup-simplify]: Simplify i into i
3.673 * [taylor]: Taking taylor expansion of beta in beta
3.673 * [backup-simplify]: Simplify 0 into 0
3.673 * [backup-simplify]: Simplify 1 into 1
3.673 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
3.674 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
3.674 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 4) in beta
3.674 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
3.674 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
3.674 * [taylor]: Taking taylor expansion of 2.0 in beta
3.674 * [backup-simplify]: Simplify 2.0 into 2.0
3.674 * [taylor]: Taking taylor expansion of i in beta
3.674 * [backup-simplify]: Simplify i into i
3.674 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
3.674 * [taylor]: Taking taylor expansion of beta in beta
3.674 * [backup-simplify]: Simplify 0 into 0
3.674 * [backup-simplify]: Simplify 1 into 1
3.674 * [taylor]: Taking taylor expansion of 2.0 in beta
3.674 * [backup-simplify]: Simplify 2.0 into 2.0
3.674 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
3.675 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
3.675 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
3.675 * [backup-simplify]: Simplify (* 1 1) into 1
3.675 * [backup-simplify]: Simplify (* 1 1) into 1
3.676 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
3.676 * [backup-simplify]: Simplify (* (* 4.0 (pow i 2)) (* 4.0 (pow i 2))) into (* 16.0 (pow i 4))
3.676 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
3.676 * [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)
3.677 * [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)))
3.677 * [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)))
3.677 * [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
3.677 * [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
3.677 * [taylor]: Taking taylor expansion of 8.0 in beta
3.677 * [backup-simplify]: Simplify 8.0 into 8.0
3.677 * [taylor]: Taking taylor expansion of (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4))) in beta
3.677 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
3.677 * [taylor]: Taking taylor expansion of beta in beta
3.677 * [backup-simplify]: Simplify 0 into 0
3.677 * [backup-simplify]: Simplify 1 into 1
3.677 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)) in beta
3.677 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 4) in beta
3.677 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
3.677 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
3.677 * [taylor]: Taking taylor expansion of 2.0 in beta
3.678 * [backup-simplify]: Simplify 2.0 into 2.0
3.678 * [taylor]: Taking taylor expansion of i in beta
3.678 * [backup-simplify]: Simplify i into i
3.678 * [taylor]: Taking taylor expansion of beta in beta
3.678 * [backup-simplify]: Simplify 0 into 0
3.678 * [backup-simplify]: Simplify 1 into 1
3.678 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
3.678 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
3.678 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 4) in beta
3.678 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
3.678 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
3.678 * [taylor]: Taking taylor expansion of 2.0 in beta
3.678 * [backup-simplify]: Simplify 2.0 into 2.0
3.678 * [taylor]: Taking taylor expansion of i in beta
3.678 * [backup-simplify]: Simplify i into i
3.678 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
3.678 * [taylor]: Taking taylor expansion of beta in beta
3.678 * [backup-simplify]: Simplify 0 into 0
3.678 * [backup-simplify]: Simplify 1 into 1
3.678 * [taylor]: Taking taylor expansion of 2.0 in beta
3.678 * [backup-simplify]: Simplify 2.0 into 2.0
3.678 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
3.679 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
3.679 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
3.679 * [backup-simplify]: Simplify (* 1 1) into 1
3.679 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
3.680 * [backup-simplify]: Simplify (* (* 4.0 (pow i 2)) (* 4.0 (pow i 2))) into (* 16.0 (pow i 4))
3.680 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
3.680 * [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)
3.680 * [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)))
3.681 * [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)))
3.681 * [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
3.681 * [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
3.681 * [taylor]: Taking taylor expansion of 48.0 in beta
3.681 * [backup-simplify]: Simplify 48.0 into 48.0
3.681 * [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
3.681 * [taylor]: Taking taylor expansion of (* i (pow beta 2)) in beta
3.681 * [taylor]: Taking taylor expansion of i in beta
3.681 * [backup-simplify]: Simplify i into i
3.681 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
3.681 * [taylor]: Taking taylor expansion of beta in beta
3.681 * [backup-simplify]: Simplify 0 into 0
3.681 * [backup-simplify]: Simplify 1 into 1
3.681 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)) in beta
3.681 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 4) in beta
3.681 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
3.681 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
3.681 * [taylor]: Taking taylor expansion of 2.0 in beta
3.681 * [backup-simplify]: Simplify 2.0 into 2.0
3.681 * [taylor]: Taking taylor expansion of i in beta
3.681 * [backup-simplify]: Simplify i into i
3.682 * [taylor]: Taking taylor expansion of beta in beta
3.682 * [backup-simplify]: Simplify 0 into 0
3.682 * [backup-simplify]: Simplify 1 into 1
3.682 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
3.682 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
3.682 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 4) in beta
3.682 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
3.682 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
3.682 * [taylor]: Taking taylor expansion of 2.0 in beta
3.682 * [backup-simplify]: Simplify 2.0 into 2.0
3.682 * [taylor]: Taking taylor expansion of i in beta
3.682 * [backup-simplify]: Simplify i into i
3.682 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
3.682 * [taylor]: Taking taylor expansion of beta in beta
3.682 * [backup-simplify]: Simplify 0 into 0
3.682 * [backup-simplify]: Simplify 1 into 1
3.682 * [taylor]: Taking taylor expansion of 2.0 in beta
3.682 * [backup-simplify]: Simplify 2.0 into 2.0
3.682 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
3.683 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
3.683 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
3.683 * [backup-simplify]: Simplify (* 1 1) into 1
3.683 * [backup-simplify]: Simplify (* i 1) into i
3.683 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
3.684 * [backup-simplify]: Simplify (* (* 4.0 (pow i 2)) (* 4.0 (pow i 2))) into (* 16.0 (pow i 4))
3.684 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
3.684 * [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)
3.685 * [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)))
3.685 * [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)))
3.685 * [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
3.685 * [taylor]: Taking taylor expansion of 96.0 in beta
3.685 * [backup-simplify]: Simplify 96.0 into 96.0
3.685 * [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
3.685 * [taylor]: Taking taylor expansion of (* (pow i 2) (pow beta 2)) in beta
3.685 * [taylor]: Taking taylor expansion of (pow i 2) in beta
3.685 * [taylor]: Taking taylor expansion of i in beta
3.685 * [backup-simplify]: Simplify i into i
3.685 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
3.685 * [taylor]: Taking taylor expansion of beta in beta
3.685 * [backup-simplify]: Simplify 0 into 0
3.686 * [backup-simplify]: Simplify 1 into 1
3.686 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)) in beta
3.686 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 4) in beta
3.686 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
3.686 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
3.686 * [taylor]: Taking taylor expansion of 2.0 in beta
3.686 * [backup-simplify]: Simplify 2.0 into 2.0
3.686 * [taylor]: Taking taylor expansion of i in beta
3.686 * [backup-simplify]: Simplify i into i
3.686 * [taylor]: Taking taylor expansion of beta in beta
3.686 * [backup-simplify]: Simplify 0 into 0
3.686 * [backup-simplify]: Simplify 1 into 1
3.686 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
3.686 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
3.686 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 4) in beta
3.686 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
3.686 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
3.686 * [taylor]: Taking taylor expansion of 2.0 in beta
3.686 * [backup-simplify]: Simplify 2.0 into 2.0
3.686 * [taylor]: Taking taylor expansion of i in beta
3.686 * [backup-simplify]: Simplify i into i
3.686 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
3.686 * [taylor]: Taking taylor expansion of beta in beta
3.686 * [backup-simplify]: Simplify 0 into 0
3.686 * [backup-simplify]: Simplify 1 into 1
3.686 * [taylor]: Taking taylor expansion of 2.0 in beta
3.686 * [backup-simplify]: Simplify 2.0 into 2.0
3.686 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
3.687 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
3.687 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
3.687 * [backup-simplify]: Simplify (* i i) into (pow i 2)
3.687 * [backup-simplify]: Simplify (* 1 1) into 1
3.688 * [backup-simplify]: Simplify (* (pow i 2) 1) into (pow i 2)
3.688 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
3.688 * [backup-simplify]: Simplify (* (* 4.0 (pow i 2)) (* 4.0 (pow i 2))) into (* 16.0 (pow i 4))
3.688 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
3.689 * [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)
3.689 * [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)))
3.689 * [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)))
3.690 * [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)))
3.690 * [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)))
3.690 * [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))))
3.691 * [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))))
3.691 * [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))))
3.692 * [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)))))
3.693 * [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)))))
3.694 * [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)))))
3.694 * [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
3.694 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 2)))) in i
3.694 * [taylor]: Taking taylor expansion of 0.5 in i
3.694 * [backup-simplify]: Simplify 0.5 into 0.5
3.694 * [taylor]: Taking taylor expansion of (/ 1 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 2))) in i
3.694 * [taylor]: Taking taylor expansion of (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 2)) in i
3.694 * [taylor]: Taking taylor expansion of (pow i 2) in i
3.694 * [taylor]: Taking taylor expansion of i in i
3.694 * [backup-simplify]: Simplify 0 into 0
3.694 * [backup-simplify]: Simplify 1 into 1
3.694 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) 2.0) 2) in i
3.694 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) 2.0) in i
3.694 * [taylor]: Taking taylor expansion of (* 2.0 i) in i
3.694 * [taylor]: Taking taylor expansion of 2.0 in i
3.694 * [backup-simplify]: Simplify 2.0 into 2.0
3.694 * [taylor]: Taking taylor expansion of i in i
3.694 * [backup-simplify]: Simplify 0 into 0
3.694 * [backup-simplify]: Simplify 1 into 1
3.694 * [taylor]: Taking taylor expansion of 2.0 in i
3.694 * [backup-simplify]: Simplify 2.0 into 2.0
3.695 * [backup-simplify]: Simplify (* 2.0 0) into 0
3.695 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
3.696 * [backup-simplify]: Simplify (* 1 1) into 1
3.696 * [backup-simplify]: Simplify (* 2.0 2.0) into 4.0
3.697 * [backup-simplify]: Simplify (* 1 4.0) into 4.0
3.697 * [backup-simplify]: Simplify (/ 1 4.0) into 0.25
3.697 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (* i (pow (+ (* 2.0 i) 2.0) 2)))) in i
3.697 * [taylor]: Taking taylor expansion of 1.0 in i
3.697 * [backup-simplify]: Simplify 1.0 into 1.0
3.697 * [taylor]: Taking taylor expansion of (/ 1 (* i (pow (+ (* 2.0 i) 2.0) 2))) in i
3.697 * [taylor]: Taking taylor expansion of (* i (pow (+ (* 2.0 i) 2.0) 2)) in i
3.697 * [taylor]: Taking taylor expansion of i in i
3.697 * [backup-simplify]: Simplify 0 into 0
3.697 * [backup-simplify]: Simplify 1 into 1
3.697 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) 2.0) 2) in i
3.697 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) 2.0) in i
3.697 * [taylor]: Taking taylor expansion of (* 2.0 i) in i
3.697 * [taylor]: Taking taylor expansion of 2.0 in i
3.697 * [backup-simplify]: Simplify 2.0 into 2.0
3.697 * [taylor]: Taking taylor expansion of i in i
3.697 * [backup-simplify]: Simplify 0 into 0
3.698 * [backup-simplify]: Simplify 1 into 1
3.698 * [taylor]: Taking taylor expansion of 2.0 in i
3.698 * [backup-simplify]: Simplify 2.0 into 2.0
3.698 * [backup-simplify]: Simplify (* 2.0 0) into 0
3.698 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
3.699 * [backup-simplify]: Simplify (* 2.0 2.0) into 4.0
3.699 * [backup-simplify]: Simplify (* 0 4.0) into 0
3.701 * [backup-simplify]: Simplify (+ (* 2.0 1) (* 0 0)) into 2.0
3.701 * [backup-simplify]: Simplify (+ 2.0 0) into 2.0
3.702 * [backup-simplify]: Simplify (+ (* 2.0 2.0) (* 2.0 2.0)) into 8.0
3.704 * [backup-simplify]: Simplify (+ (* 0 8.0) (* 1 4.0)) into 4.0
3.704 * [backup-simplify]: Simplify (/ 1 4.0) into 0.25
3.705 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 1) (* 0 0))) into 0
3.706 * [backup-simplify]: Simplify (+ 0 0) into 0
3.707 * [backup-simplify]: Simplify (+ (* 2.0 1) (* 0 0)) into 2.0
3.708 * [backup-simplify]: Simplify (+ 2.0 0) into 2.0
3.710 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 2.0 2.0) (* 0 2.0))) into 4.0
3.711 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.712 * [backup-simplify]: Simplify (+ (* 2.0 2.0) (* 2.0 2.0)) into 8.0
3.713 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.716 * [backup-simplify]: Simplify (+ (* 1 4.0) (+ (* 0 8.0) (* 0 4.0))) into 4.0
3.717 * [backup-simplify]: Simplify (+ (* 1 8.0) (* 0 4.0)) into 8.0
3.720 * [backup-simplify]: Simplify (- (+ (* 0.25 (/ 8.0 4.0)))) into (- 0.5)
3.725 * [backup-simplify]: Simplify (- (+ (* 0.25 (/ 4.0 4.0)) (* (- 0.5) (/ 8.0 4.0)))) into 0.75
3.727 * [backup-simplify]: Simplify (+ (* 0.5 0.75) (+ (* 0 (- 0.5)) (* 0 0.25))) into 0.375
3.728 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 1) (* 0 0))) into 0
3.729 * [backup-simplify]: Simplify (+ 0 0) into 0
3.731 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 2.0 2.0) (* 0 2.0))) into 4.0
3.734 * [backup-simplify]: Simplify (+ (* 0 4.0) (+ (* 1 8.0) (* 0 4.0))) into 8.0
3.741 * [backup-simplify]: Simplify (- (+ (* 0.25 (/ 8.0 4.0)))) into (- 0.5)
3.742 * [backup-simplify]: Simplify (+ (* 1.0 (- 0.5)) (* 0 0.25)) into (- 0.5)
3.743 * [backup-simplify]: Simplify (+ 0.375 (- 0.5)) into (- 0.125)
3.743 * [backup-simplify]: Simplify (- 0.125) into (- 0.125)
3.744 * [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))))
3.744 * [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)))))
3.744 * [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
3.744 * [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
3.744 * [taylor]: Taking taylor expansion of (* (+ (/ 1 alpha) (/ 1 beta)) (- (/ 1 beta) (/ 1 alpha))) in i
3.744 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (/ 1 beta)) in i
3.744 * [taylor]: Taking taylor expansion of (/ 1 alpha) in i
3.744 * [taylor]: Taking taylor expansion of alpha in i
3.744 * [backup-simplify]: Simplify alpha into alpha
3.745 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
3.745 * [taylor]: Taking taylor expansion of (/ 1 beta) in i
3.745 * [taylor]: Taking taylor expansion of beta in i
3.745 * [backup-simplify]: Simplify beta into beta
3.745 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
3.745 * [taylor]: Taking taylor expansion of (- (/ 1 beta) (/ 1 alpha)) in i
3.745 * [taylor]: Taking taylor expansion of (/ 1 beta) in i
3.745 * [taylor]: Taking taylor expansion of beta in i
3.745 * [backup-simplify]: Simplify beta into beta
3.745 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
3.745 * [taylor]: Taking taylor expansion of (/ 1 alpha) in i
3.745 * [taylor]: Taking taylor expansion of alpha in i
3.745 * [backup-simplify]: Simplify alpha into alpha
3.745 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
3.745 * [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
3.745 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) in i
3.745 * [taylor]: Taking taylor expansion of (/ 1 alpha) in i
3.745 * [taylor]: Taking taylor expansion of alpha in i
3.745 * [backup-simplify]: Simplify alpha into alpha
3.745 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
3.745 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0)) in i
3.745 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in i
3.745 * [taylor]: Taking taylor expansion of 2.0 in i
3.745 * [backup-simplify]: Simplify 2.0 into 2.0
3.745 * [taylor]: Taking taylor expansion of (/ 1 i) in i
3.745 * [taylor]: Taking taylor expansion of i in i
3.745 * [backup-simplify]: Simplify 0 into 0
3.745 * [backup-simplify]: Simplify 1 into 1
3.745 * [backup-simplify]: Simplify (/ 1 1) into 1
3.745 * [taylor]: Taking taylor expansion of (+ (/ 1 beta) 2.0) in i
3.745 * [taylor]: Taking taylor expansion of (/ 1 beta) in i
3.745 * [taylor]: Taking taylor expansion of beta in i
3.745 * [backup-simplify]: Simplify beta into beta
3.745 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
3.745 * [taylor]: Taking taylor expansion of 2.0 in i
3.745 * [backup-simplify]: Simplify 2.0 into 2.0
3.745 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in i
3.745 * [taylor]: Taking taylor expansion of (/ 1 alpha) in i
3.746 * [taylor]: Taking taylor expansion of alpha in i
3.746 * [backup-simplify]: Simplify alpha into alpha
3.746 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
3.746 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in i
3.746 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in i
3.746 * [taylor]: Taking taylor expansion of 2.0 in i
3.746 * [backup-simplify]: Simplify 2.0 into 2.0
3.746 * [taylor]: Taking taylor expansion of (/ 1 i) in i
3.746 * [taylor]: Taking taylor expansion of i in i
3.746 * [backup-simplify]: Simplify 0 into 0
3.746 * [backup-simplify]: Simplify 1 into 1
3.746 * [backup-simplify]: Simplify (/ 1 1) into 1
3.746 * [taylor]: Taking taylor expansion of (/ 1 beta) in i
3.746 * [taylor]: Taking taylor expansion of beta in i
3.746 * [backup-simplify]: Simplify beta into beta
3.746 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
3.746 * [backup-simplify]: Simplify (+ (/ 1 alpha) (/ 1 beta)) into (+ (/ 1 alpha) (/ 1 beta))
3.746 * [backup-simplify]: Simplify (- (/ 1 alpha)) into (- (/ 1 alpha))
3.746 * [backup-simplify]: Simplify (+ (/ 1 beta) (- (/ 1 alpha))) into (- (/ 1 beta) (/ 1 alpha))
3.746 * [backup-simplify]: Simplify (* (+ (/ 1 alpha) (/ 1 beta)) (- (/ 1 beta) (/ 1 alpha))) into (* (+ (/ 1 alpha) (/ 1 beta)) (- (/ 1 beta) (/ 1 alpha)))
3.747 * [backup-simplify]: Simplify (* 2.0 1) into 2.0
3.747 * [backup-simplify]: Simplify (+ 2.0 0) into 2.0
3.747 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
3.748 * [backup-simplify]: Simplify (* 2.0 1) into 2.0
3.748 * [backup-simplify]: Simplify (+ 2.0 0) into 2.0
3.748 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
3.748 * [backup-simplify]: Simplify (* 2.0 2.0) into 4.0
3.748 * [backup-simplify]: Simplify (/ (* (+ (/ 1 alpha) (/ 1 beta)) (- (/ 1 beta) (/ 1 alpha))) 4.0) into (* 0.25 (* (+ (/ 1 alpha) (/ 1 beta)) (- (/ 1 beta) (/ 1 alpha))))
3.748 * [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
3.749 * [taylor]: Taking taylor expansion of (* (+ (/ 1 alpha) (/ 1 beta)) (- (/ 1 beta) (/ 1 alpha))) in beta
3.749 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (/ 1 beta)) in beta
3.749 * [taylor]: Taking taylor expansion of (/ 1 alpha) in beta
3.749 * [taylor]: Taking taylor expansion of alpha in beta
3.749 * [backup-simplify]: Simplify alpha into alpha
3.749 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
3.749 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
3.749 * [taylor]: Taking taylor expansion of beta in beta
3.749 * [backup-simplify]: Simplify 0 into 0
3.749 * [backup-simplify]: Simplify 1 into 1
3.749 * [backup-simplify]: Simplify (/ 1 1) into 1
3.749 * [taylor]: Taking taylor expansion of (- (/ 1 beta) (/ 1 alpha)) in beta
3.749 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
3.749 * [taylor]: Taking taylor expansion of beta in beta
3.749 * [backup-simplify]: Simplify 0 into 0
3.749 * [backup-simplify]: Simplify 1 into 1
3.749 * [backup-simplify]: Simplify (/ 1 1) into 1
3.749 * [taylor]: Taking taylor expansion of (/ 1 alpha) in beta
3.749 * [taylor]: Taking taylor expansion of alpha in beta
3.749 * [backup-simplify]: Simplify alpha into alpha
3.749 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
3.749 * [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
3.749 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) in beta
3.749 * [taylor]: Taking taylor expansion of (/ 1 alpha) in beta
3.749 * [taylor]: Taking taylor expansion of alpha in beta
3.749 * [backup-simplify]: Simplify alpha into alpha
3.749 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
3.750 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0)) in beta
3.750 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in beta
3.750 * [taylor]: Taking taylor expansion of 2.0 in beta
3.750 * [backup-simplify]: Simplify 2.0 into 2.0
3.750 * [taylor]: Taking taylor expansion of (/ 1 i) in beta
3.750 * [taylor]: Taking taylor expansion of i in beta
3.750 * [backup-simplify]: Simplify i into i
3.750 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
3.750 * [taylor]: Taking taylor expansion of (+ (/ 1 beta) 2.0) in beta
3.750 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
3.750 * [taylor]: Taking taylor expansion of beta in beta
3.750 * [backup-simplify]: Simplify 0 into 0
3.750 * [backup-simplify]: Simplify 1 into 1
3.750 * [backup-simplify]: Simplify (/ 1 1) into 1
3.750 * [taylor]: Taking taylor expansion of 2.0 in beta
3.750 * [backup-simplify]: Simplify 2.0 into 2.0
3.750 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in beta
3.750 * [taylor]: Taking taylor expansion of (/ 1 alpha) in beta
3.750 * [taylor]: Taking taylor expansion of alpha in beta
3.750 * [backup-simplify]: Simplify alpha into alpha
3.750 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
3.750 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in beta
3.750 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in beta
3.750 * [taylor]: Taking taylor expansion of 2.0 in beta
3.750 * [backup-simplify]: Simplify 2.0 into 2.0
3.750 * [taylor]: Taking taylor expansion of (/ 1 i) in beta
3.750 * [taylor]: Taking taylor expansion of i in beta
3.750 * [backup-simplify]: Simplify i into i
3.750 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
3.750 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
3.750 * [taylor]: Taking taylor expansion of beta in beta
3.750 * [backup-simplify]: Simplify 0 into 0
3.750 * [backup-simplify]: Simplify 1 into 1
3.751 * [backup-simplify]: Simplify (/ 1 1) into 1
3.751 * [backup-simplify]: Simplify (+ 0 1) into 1
3.751 * [backup-simplify]: Simplify (+ 1 0) into 1
3.751 * [backup-simplify]: Simplify (* 1 1) into 1
3.752 * [backup-simplify]: Simplify (+ 1 0) into 1
3.752 * [backup-simplify]: Simplify (+ 0 1) into 1
3.752 * [backup-simplify]: Simplify (+ 0 1) into 1
3.752 * [backup-simplify]: Simplify (+ 0 1) into 1
3.753 * [backup-simplify]: Simplify (+ 0 1) into 1
3.753 * [backup-simplify]: Simplify (* 1 1) into 1
3.753 * [backup-simplify]: Simplify (/ 1 1) into 1
3.753 * [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
3.753 * [taylor]: Taking taylor expansion of (* (+ (/ 1 alpha) (/ 1 beta)) (- (/ 1 beta) (/ 1 alpha))) in alpha
3.753 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (/ 1 beta)) in alpha
3.753 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
3.753 * [taylor]: Taking taylor expansion of alpha in alpha
3.753 * [backup-simplify]: Simplify 0 into 0
3.753 * [backup-simplify]: Simplify 1 into 1
3.754 * [backup-simplify]: Simplify (/ 1 1) into 1
3.754 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
3.754 * [taylor]: Taking taylor expansion of beta in alpha
3.754 * [backup-simplify]: Simplify beta into beta
3.754 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
3.754 * [taylor]: Taking taylor expansion of (- (/ 1 beta) (/ 1 alpha)) in alpha
3.754 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
3.754 * [taylor]: Taking taylor expansion of beta in alpha
3.754 * [backup-simplify]: Simplify beta into beta
3.754 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
3.754 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
3.754 * [taylor]: Taking taylor expansion of alpha in alpha
3.754 * [backup-simplify]: Simplify 0 into 0
3.754 * [backup-simplify]: Simplify 1 into 1
3.754 * [backup-simplify]: Simplify (/ 1 1) into 1
3.754 * [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
3.754 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) in alpha
3.754 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
3.754 * [taylor]: Taking taylor expansion of alpha in alpha
3.754 * [backup-simplify]: Simplify 0 into 0
3.754 * [backup-simplify]: Simplify 1 into 1
3.754 * [backup-simplify]: Simplify (/ 1 1) into 1
3.754 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0)) in alpha
3.754 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
3.754 * [taylor]: Taking taylor expansion of 2.0 in alpha
3.754 * [backup-simplify]: Simplify 2.0 into 2.0
3.754 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
3.754 * [taylor]: Taking taylor expansion of i in alpha
3.755 * [backup-simplify]: Simplify i into i
3.755 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
3.755 * [taylor]: Taking taylor expansion of (+ (/ 1 beta) 2.0) in alpha
3.755 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
3.755 * [taylor]: Taking taylor expansion of beta in alpha
3.755 * [backup-simplify]: Simplify beta into beta
3.755 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
3.755 * [taylor]: Taking taylor expansion of 2.0 in alpha
3.755 * [backup-simplify]: Simplify 2.0 into 2.0
3.755 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in alpha
3.755 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
3.755 * [taylor]: Taking taylor expansion of alpha in alpha
3.755 * [backup-simplify]: Simplify 0 into 0
3.755 * [backup-simplify]: Simplify 1 into 1
3.755 * [backup-simplify]: Simplify (/ 1 1) into 1
3.755 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in alpha
3.755 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
3.755 * [taylor]: Taking taylor expansion of 2.0 in alpha
3.755 * [backup-simplify]: Simplify 2.0 into 2.0
3.755 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
3.755 * [taylor]: Taking taylor expansion of i in alpha
3.755 * [backup-simplify]: Simplify i into i
3.755 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
3.755 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
3.755 * [taylor]: Taking taylor expansion of beta in alpha
3.755 * [backup-simplify]: Simplify beta into beta
3.755 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
3.756 * [backup-simplify]: Simplify (+ 1 0) into 1
3.756 * [backup-simplify]: Simplify (- 1) into -1
3.756 * [backup-simplify]: Simplify (+ 0 -1) into -1
3.756 * [backup-simplify]: Simplify (* 1 -1) into -1
3.757 * [backup-simplify]: Simplify (+ 1 0) into 1
3.757 * [backup-simplify]: Simplify (+ 1 0) into 1
3.757 * [backup-simplify]: Simplify (* 1 1) into 1
3.757 * [backup-simplify]: Simplify (/ -1 1) into -1
3.757 * [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
3.757 * [taylor]: Taking taylor expansion of (* (+ (/ 1 alpha) (/ 1 beta)) (- (/ 1 beta) (/ 1 alpha))) in alpha
3.757 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (/ 1 beta)) in alpha
3.757 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
3.757 * [taylor]: Taking taylor expansion of alpha in alpha
3.757 * [backup-simplify]: Simplify 0 into 0
3.758 * [backup-simplify]: Simplify 1 into 1
3.758 * [backup-simplify]: Simplify (/ 1 1) into 1
3.758 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
3.758 * [taylor]: Taking taylor expansion of beta in alpha
3.758 * [backup-simplify]: Simplify beta into beta
3.758 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
3.758 * [taylor]: Taking taylor expansion of (- (/ 1 beta) (/ 1 alpha)) in alpha
3.758 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
3.758 * [taylor]: Taking taylor expansion of beta in alpha
3.758 * [backup-simplify]: Simplify beta into beta
3.758 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
3.758 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
3.758 * [taylor]: Taking taylor expansion of alpha in alpha
3.758 * [backup-simplify]: Simplify 0 into 0
3.758 * [backup-simplify]: Simplify 1 into 1
3.758 * [backup-simplify]: Simplify (/ 1 1) into 1
3.758 * [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
3.758 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) in alpha
3.758 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
3.758 * [taylor]: Taking taylor expansion of alpha in alpha
3.758 * [backup-simplify]: Simplify 0 into 0
3.758 * [backup-simplify]: Simplify 1 into 1
3.759 * [backup-simplify]: Simplify (/ 1 1) into 1
3.759 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0)) in alpha
3.759 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
3.759 * [taylor]: Taking taylor expansion of 2.0 in alpha
3.759 * [backup-simplify]: Simplify 2.0 into 2.0
3.759 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
3.759 * [taylor]: Taking taylor expansion of i in alpha
3.759 * [backup-simplify]: Simplify i into i
3.759 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
3.759 * [taylor]: Taking taylor expansion of (+ (/ 1 beta) 2.0) in alpha
3.759 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
3.759 * [taylor]: Taking taylor expansion of beta in alpha
3.759 * [backup-simplify]: Simplify beta into beta
3.759 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
3.759 * [taylor]: Taking taylor expansion of 2.0 in alpha
3.759 * [backup-simplify]: Simplify 2.0 into 2.0
3.759 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in alpha
3.759 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
3.759 * [taylor]: Taking taylor expansion of alpha in alpha
3.759 * [backup-simplify]: Simplify 0 into 0
3.759 * [backup-simplify]: Simplify 1 into 1
3.759 * [backup-simplify]: Simplify (/ 1 1) into 1
3.759 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in alpha
3.759 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
3.759 * [taylor]: Taking taylor expansion of 2.0 in alpha
3.759 * [backup-simplify]: Simplify 2.0 into 2.0
3.759 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
3.759 * [taylor]: Taking taylor expansion of i in alpha
3.759 * [backup-simplify]: Simplify i into i
3.759 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
3.759 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
3.759 * [taylor]: Taking taylor expansion of beta in alpha
3.759 * [backup-simplify]: Simplify beta into beta
3.759 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
3.760 * [backup-simplify]: Simplify (+ 1 0) into 1
3.760 * [backup-simplify]: Simplify (- 1) into -1
3.760 * [backup-simplify]: Simplify (+ 0 -1) into -1
3.761 * [backup-simplify]: Simplify (* 1 -1) into -1
3.761 * [backup-simplify]: Simplify (+ 1 0) into 1
3.761 * [backup-simplify]: Simplify (+ 1 0) into 1
3.761 * [backup-simplify]: Simplify (* 1 1) into 1
3.762 * [backup-simplify]: Simplify (/ -1 1) into -1
3.762 * [taylor]: Taking taylor expansion of -1 in beta
3.762 * [backup-simplify]: Simplify -1 into -1
3.762 * [taylor]: Taking taylor expansion of -1 in i
3.762 * [backup-simplify]: Simplify -1 into -1
3.762 * [backup-simplify]: Simplify 0 into 0
3.762 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.762 * [backup-simplify]: Simplify (- 0) into 0
3.762 * [backup-simplify]: Simplify (+ (/ 1 beta) 0) into (/ 1 beta)
3.763 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.763 * [backup-simplify]: Simplify (+ 0 (/ 1 beta)) into (/ 1 beta)
3.763 * [backup-simplify]: Simplify (+ (* 1 (/ 1 beta)) (* (/ 1 beta) -1)) into 0
3.764 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.764 * [backup-simplify]: Simplify (* 2.0 (/ 1 i)) into (/ 2.0 i)
3.764 * [backup-simplify]: Simplify (+ (/ 2.0 i) (/ 1 beta)) into (+ (* 2.0 (/ 1 i)) (/ 1 beta))
3.764 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 (/ 1 i)) (/ 1 beta))) into (+ (* 2.0 (/ 1 i)) (/ 1 beta))
3.765 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.765 * [backup-simplify]: Simplify (* 2.0 (/ 1 i)) into (/ 2.0 i)
3.765 * [backup-simplify]: Simplify (+ (/ 1 beta) 2.0) into (+ (/ 1 beta) 2.0)
3.765 * [backup-simplify]: Simplify (+ (/ 2.0 i) (+ (/ 1 beta) 2.0)) into (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))
3.765 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) into (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))
3.765 * [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))
3.766 * [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))
3.766 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 i)) (+ (* 2 (/ 1 beta)) 2.0)) in beta
3.766 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 i)) in beta
3.766 * [taylor]: Taking taylor expansion of 4.0 in beta
3.766 * [backup-simplify]: Simplify 4.0 into 4.0
3.766 * [taylor]: Taking taylor expansion of (/ 1 i) in beta
3.766 * [taylor]: Taking taylor expansion of i in beta
3.766 * [backup-simplify]: Simplify i into i
3.766 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
3.766 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 beta)) 2.0) in beta
3.766 * [taylor]: Taking taylor expansion of (* 2 (/ 1 beta)) in beta
3.766 * [taylor]: Taking taylor expansion of 2 in beta
3.766 * [backup-simplify]: Simplify 2 into 2
3.766 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
3.766 * [taylor]: Taking taylor expansion of beta in beta
3.766 * [backup-simplify]: Simplify 0 into 0
3.766 * [backup-simplify]: Simplify 1 into 1
3.766 * [backup-simplify]: Simplify (/ 1 1) into 1
3.766 * [taylor]: Taking taylor expansion of 2.0 in beta
3.766 * [backup-simplify]: Simplify 2.0 into 2.0
3.766 * [backup-simplify]: Simplify (* 4.0 (/ 1 i)) into (/ 4.0 i)
3.767 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.767 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0
3.768 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
3.768 * [backup-simplify]: Simplify (+ (/ 4.0 i) 2.0) into (+ (* 4.0 (/ 1 i)) 2.0)
3.768 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 i)) 2.0) in i
3.768 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 i)) in i
3.768 * [taylor]: Taking taylor expansion of 4.0 in i
3.768 * [backup-simplify]: Simplify 4.0 into 4.0
3.768 * [taylor]: Taking taylor expansion of (/ 1 i) 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
3.768 * [taylor]: Taking taylor expansion of 2.0 in i
3.768 * [backup-simplify]: Simplify 2.0 into 2.0
3.768 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.769 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.770 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.770 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.770 * [backup-simplify]: Simplify (+ 0 0) into 0
3.770 * [backup-simplify]: Simplify 0 into 0
3.770 * [taylor]: Taking taylor expansion of 0 in i
3.770 * [backup-simplify]: Simplify 0 into 0
3.771 * [backup-simplify]: Simplify 0 into 0
3.771 * [backup-simplify]: Simplify 0 into 0
3.771 * [backup-simplify]: Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
3.771 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.771 * [backup-simplify]: Simplify (- 0) into 0
3.772 * [backup-simplify]: Simplify (+ 0 0) into 0
3.773 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.773 * [backup-simplify]: Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
3.773 * [backup-simplify]: Simplify (+ 0 0) into 0
3.774 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 beta) (/ 1 beta)) (* 0 -1))) into (/ 1 (pow beta 2))
3.775 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.776 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
3.776 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 (/ 1 i))) into 0
3.776 * [backup-simplify]: Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
3.777 * [backup-simplify]: Simplify (+ 0 0) into 0
3.777 * [backup-simplify]: Simplify (+ 0 0) into 0
3.778 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.778 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
3.779 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 (/ 1 i))) into 0
3.779 * [backup-simplify]: Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
3.779 * [backup-simplify]: Simplify (+ 0 0) into 0
3.780 * [backup-simplify]: Simplify (+ 0 0) into 0
3.780 * [backup-simplify]: Simplify (+ 0 0) into 0
3.782 * [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))))))
3.784 * [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))))))
3.784 * [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
3.785 * [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
3.785 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow beta 2))) in beta
3.785 * [taylor]: Taking taylor expansion of 2 in beta
3.785 * [backup-simplify]: Simplify 2 into 2
3.785 * [taylor]: Taking taylor expansion of (/ 1 (pow beta 2)) in beta
3.785 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
3.785 * [taylor]: Taking taylor expansion of beta in beta
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
3.786 * [backup-simplify]: Simplify (/ 1 1) into 1
3.786 * [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
3.786 * [taylor]: Taking taylor expansion of (* 12.0 (/ 1 (* i beta))) in beta
3.786 * [taylor]: Taking taylor expansion of 12.0 in beta
3.786 * [backup-simplify]: Simplify 12.0 into 12.0
3.786 * [taylor]: Taking taylor expansion of (/ 1 (* i beta)) in beta
3.786 * [taylor]: Taking taylor expansion of (* i beta) in beta
3.786 * [taylor]: Taking taylor expansion of i in beta
3.786 * [backup-simplify]: Simplify i into i
3.786 * [taylor]: Taking taylor expansion of beta in beta
3.786 * [backup-simplify]: Simplify 0 into 0
3.786 * [backup-simplify]: Simplify 1 into 1
3.786 * [backup-simplify]: Simplify (* i 0) into 0
3.787 * [backup-simplify]: Simplify (+ (* i 1) (* 0 0)) into i
3.787 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
3.787 * [taylor]: Taking taylor expansion of (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 12.0 (/ 1 i)) (+ (* 6.0 (/ 1 beta)) 4.0))) in beta
3.787 * [taylor]: Taking taylor expansion of (* 12.0 (/ 1 (pow i 2))) in beta
3.787 * [taylor]: Taking taylor expansion of 12.0 in beta
3.787 * [backup-simplify]: Simplify 12.0 into 12.0
3.787 * [taylor]: Taking taylor expansion of (/ 1 (pow i 2)) in beta
3.787 * [taylor]: Taking taylor expansion of (pow i 2) in beta
3.787 * [taylor]: Taking taylor expansion of i in beta
3.787 * [backup-simplify]: Simplify i into i
3.787 * [backup-simplify]: Simplify (* i i) into (pow i 2)
3.787 * [backup-simplify]: Simplify (/ 1 (pow i 2)) into (/ 1 (pow i 2))
3.787 * [taylor]: Taking taylor expansion of (+ (* 12.0 (/ 1 i)) (+ (* 6.0 (/ 1 beta)) 4.0)) in beta
3.787 * [taylor]: Taking taylor expansion of (* 12.0 (/ 1 i)) in beta
3.787 * [taylor]: Taking taylor expansion of 12.0 in beta
3.787 * [backup-simplify]: Simplify 12.0 into 12.0
3.787 * [taylor]: Taking taylor expansion of (/ 1 i) in beta
3.787 * [taylor]: Taking taylor expansion of i in beta
3.787 * [backup-simplify]: Simplify i into i
3.787 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
3.787 * [taylor]: Taking taylor expansion of (+ (* 6.0 (/ 1 beta)) 4.0) in beta
3.787 * [taylor]: Taking taylor expansion of (* 6.0 (/ 1 beta)) in beta
3.788 * [taylor]: Taking taylor expansion of 6.0 in beta
3.788 * [backup-simplify]: Simplify 6.0 into 6.0
3.788 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
3.788 * [taylor]: Taking taylor expansion of beta in beta
3.788 * [backup-simplify]: Simplify 0 into 0
3.788 * [backup-simplify]: Simplify 1 into 1
3.788 * [backup-simplify]: Simplify (/ 1 1) into 1
3.788 * [taylor]: Taking taylor expansion of 4.0 in beta
3.788 * [backup-simplify]: Simplify 4.0 into 4.0
3.789 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.790 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.791 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.791 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.792 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0
3.792 * [backup-simplify]: Simplify (+ (* i 0) (+ (* 0 1) (* 0 0))) into 0
3.793 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
3.793 * [backup-simplify]: Simplify (+ (* 12.0 0) (* 0 (/ 1 i))) into 0
3.793 * [backup-simplify]: Simplify (* 12.0 (/ 1 (pow i 2))) into (/ 12.0 (pow i 2))
3.793 * [backup-simplify]: Simplify (* 12.0 (/ 1 i)) into (/ 12.0 i)
3.794 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.794 * [backup-simplify]: Simplify (+ (* 6.0 0) (* 0 1)) into 0
3.795 * [backup-simplify]: Simplify (+ 0 4.0) into 4.0
3.795 * [backup-simplify]: Simplify (+ (/ 12.0 i) 4.0) into (+ (* 12.0 (/ 1 i)) 4.0)
3.795 * [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))
3.795 * [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))
3.795 * [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))
3.796 * [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)))
3.796 * [taylor]: Taking taylor expansion of (- (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 12.0 (/ 1 i)) 4.0))) in i
3.796 * [taylor]: Taking taylor expansion of (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 12.0 (/ 1 i)) 4.0)) in i
3.796 * [taylor]: Taking taylor expansion of (* 12.0 (/ 1 (pow i 2))) in i
3.796 * [taylor]: Taking taylor expansion of 12.0 in i
3.796 * [backup-simplify]: Simplify 12.0 into 12.0
3.796 * [taylor]: Taking taylor expansion of (/ 1 (pow i 2)) in i
3.796 * [taylor]: Taking taylor expansion of (pow i 2) in i
3.796 * [taylor]: Taking taylor expansion of i in i
3.796 * [backup-simplify]: Simplify 0 into 0
3.796 * [backup-simplify]: Simplify 1 into 1
3.796 * [backup-simplify]: Simplify (* 1 1) into 1
3.796 * [backup-simplify]: Simplify (/ 1 1) into 1
3.796 * [taylor]: Taking taylor expansion of (+ (* 12.0 (/ 1 i)) 4.0) in i
3.796 * [taylor]: Taking taylor expansion of (* 12.0 (/ 1 i)) in i
3.796 * [taylor]: Taking taylor expansion of 12.0 in i
3.796 * [backup-simplify]: Simplify 12.0 into 12.0
3.796 * [taylor]: Taking taylor expansion of (/ 1 i) in i
3.796 * [taylor]: Taking taylor expansion of i in i
3.796 * [backup-simplify]: Simplify 0 into 0
3.796 * [backup-simplify]: Simplify 1 into 1
3.797 * [backup-simplify]: Simplify (/ 1 1) into 1
3.797 * [taylor]: Taking taylor expansion of 4.0 in i
3.797 * [backup-simplify]: Simplify 4.0 into 4.0
3.797 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
3.798 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.798 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.799 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.799 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.800 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.800 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.801 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.802 * [backup-simplify]: Simplify (+ (* 12.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
3.802 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.803 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.803 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.804 * [backup-simplify]: Simplify (+ (* 12.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.804 * [backup-simplify]: Simplify (+ 0 0) into 0
3.804 * [backup-simplify]: Simplify (+ 0 0) into 0
3.805 * [backup-simplify]: Simplify (- 0) into 0
3.805 * [backup-simplify]: Simplify 0 into 0
3.805 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
3.805 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 i))) into 0
3.806 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.806 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0
3.806 * [backup-simplify]: Simplify (+ 0 0) into 0
3.807 * [backup-simplify]: Simplify (+ 0 0) into 0
3.807 * [taylor]: Taking taylor expansion of 0 in i
3.807 * [backup-simplify]: Simplify 0 into 0
3.807 * [backup-simplify]: Simplify 0 into 0
3.807 * [backup-simplify]: Simplify 0 into 0
3.807 * [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)))))
3.807 * [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
3.807 * [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
3.807 * [taylor]: Taking taylor expansion of (* (- (/ 1 alpha) (/ 1 beta)) (+ (/ 1 alpha) (/ 1 beta))) in i
3.807 * [taylor]: Taking taylor expansion of (- (/ 1 alpha) (/ 1 beta)) in i
3.808 * [taylor]: Taking taylor expansion of (/ 1 alpha) in i
3.808 * [taylor]: Taking taylor expansion of alpha in i
3.808 * [backup-simplify]: Simplify alpha into alpha
3.808 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
3.808 * [taylor]: Taking taylor expansion of (/ 1 beta) in i
3.808 * [taylor]: Taking taylor expansion of beta in i
3.808 * [backup-simplify]: Simplify beta into beta
3.808 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
3.808 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (/ 1 beta)) in i
3.808 * [taylor]: Taking taylor expansion of (/ 1 alpha) in i
3.808 * [taylor]: Taking taylor expansion of alpha in i
3.808 * [backup-simplify]: Simplify alpha into alpha
3.808 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
3.808 * [taylor]: Taking taylor expansion of (/ 1 beta) in i
3.808 * [taylor]: Taking taylor expansion of beta in i
3.808 * [backup-simplify]: Simplify beta into beta
3.808 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
3.808 * [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
3.808 * [taylor]: Taking taylor expansion of (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) in i
3.808 * [taylor]: Taking taylor expansion of 2.0 in i
3.808 * [backup-simplify]: Simplify 2.0 into 2.0
3.808 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in i
3.808 * [taylor]: Taking taylor expansion of (/ 1 alpha) in i
3.808 * [taylor]: Taking taylor expansion of alpha in i
3.808 * [backup-simplify]: Simplify alpha into alpha
3.808 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
3.808 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in i
3.809 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in i
3.809 * [taylor]: Taking taylor expansion of 2.0 in i
3.809 * [backup-simplify]: Simplify 2.0 into 2.0
3.809 * [taylor]: Taking taylor expansion of (/ 1 i) in i
3.809 * [taylor]: Taking taylor expansion of i in i
3.809 * [backup-simplify]: Simplify 0 into 0
3.809 * [backup-simplify]: Simplify 1 into 1
3.809 * [backup-simplify]: Simplify (/ 1 1) into 1
3.809 * [taylor]: Taking taylor expansion of (/ 1 beta) in i
3.809 * [taylor]: Taking taylor expansion of beta in i
3.809 * [backup-simplify]: Simplify beta into beta
3.809 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
3.809 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in i
3.809 * [taylor]: Taking taylor expansion of (/ 1 alpha) in i
3.809 * [taylor]: Taking taylor expansion of alpha in i
3.809 * [backup-simplify]: Simplify alpha into alpha
3.809 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
3.809 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in i
3.810 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in i
3.810 * [taylor]: Taking taylor expansion of 2.0 in i
3.810 * [backup-simplify]: Simplify 2.0 into 2.0
3.810 * [taylor]: Taking taylor expansion of (/ 1 i) in i
3.810 * [taylor]: Taking taylor expansion of i in i
3.810 * [backup-simplify]: Simplify 0 into 0
3.810 * [backup-simplify]: Simplify 1 into 1
3.810 * [backup-simplify]: Simplify (/ 1 1) into 1
3.810 * [taylor]: Taking taylor expansion of (/ 1 beta) in i
3.810 * [taylor]: Taking taylor expansion of beta in i
3.810 * [backup-simplify]: Simplify beta into beta
3.810 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
3.810 * [backup-simplify]: Simplify (- (/ 1 beta)) into (- (/ 1 beta))
3.810 * [backup-simplify]: Simplify (+ (/ 1 alpha) (- (/ 1 beta))) into (- (/ 1 alpha) (/ 1 beta))
3.811 * [backup-simplify]: Simplify (+ (/ 1 alpha) (/ 1 beta)) into (+ (/ 1 alpha) (/ 1 beta))
3.811 * [backup-simplify]: Simplify (* (- (/ 1 alpha) (/ 1 beta)) (+ (/ 1 alpha) (/ 1 beta))) into (* (- (/ 1 alpha) (/ 1 beta)) (+ (/ 1 alpha) (/ 1 beta)))
3.811 * [backup-simplify]: Simplify (* 2.0 1) into 2.0
3.812 * [backup-simplify]: Simplify (+ 2.0 0) into 2.0
3.812 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
3.813 * [backup-simplify]: Simplify (- 2.0) into (- 2.0)
3.813 * [backup-simplify]: Simplify (+ 0 (- 2.0)) into (- 2.0)
3.814 * [backup-simplify]: Simplify (* 2.0 1) into 2.0
3.814 * [backup-simplify]: Simplify (+ 2.0 0) into 2.0
3.815 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
3.816 * [backup-simplify]: Simplify (* (- 2.0) 2.0) into -4.0
3.816 * [backup-simplify]: Simplify (/ (* (- (/ 1 alpha) (/ 1 beta)) (+ (/ 1 alpha) (/ 1 beta))) -4.0) into (* -0.25 (* (- (/ 1 alpha) (/ 1 beta)) (+ (/ 1 alpha) (/ 1 beta))))
3.816 * [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
3.816 * [taylor]: Taking taylor expansion of (* (- (/ 1 alpha) (/ 1 beta)) (+ (/ 1 alpha) (/ 1 beta))) in beta
3.816 * [taylor]: Taking taylor expansion of (- (/ 1 alpha) (/ 1 beta)) in beta
3.816 * [taylor]: Taking taylor expansion of (/ 1 alpha) in beta
3.816 * [taylor]: Taking taylor expansion of alpha in beta
3.816 * [backup-simplify]: Simplify alpha into alpha
3.816 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
3.816 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
3.816 * [taylor]: Taking taylor expansion of beta in beta
3.816 * [backup-simplify]: Simplify 0 into 0
3.816 * [backup-simplify]: Simplify 1 into 1
3.817 * [backup-simplify]: Simplify (/ 1 1) into 1
3.817 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (/ 1 beta)) in beta
3.817 * [taylor]: Taking taylor expansion of (/ 1 alpha) in beta
3.817 * [taylor]: Taking taylor expansion of alpha in beta
3.817 * [backup-simplify]: Simplify alpha into alpha
3.817 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
3.817 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
3.817 * [taylor]: Taking taylor expansion of beta in beta
3.817 * [backup-simplify]: Simplify 0 into 0
3.817 * [backup-simplify]: Simplify 1 into 1
3.817 * [backup-simplify]: Simplify (/ 1 1) into 1
3.817 * [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
3.818 * [taylor]: Taking taylor expansion of (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) in beta
3.818 * [taylor]: Taking taylor expansion of 2.0 in beta
3.818 * [backup-simplify]: Simplify 2.0 into 2.0
3.818 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in beta
3.818 * [taylor]: Taking taylor expansion of (/ 1 alpha) in beta
3.818 * [taylor]: Taking taylor expansion of alpha in beta
3.818 * [backup-simplify]: Simplify alpha into alpha
3.818 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
3.818 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in beta
3.818 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in beta
3.818 * [taylor]: Taking taylor expansion of 2.0 in beta
3.818 * [backup-simplify]: Simplify 2.0 into 2.0
3.818 * [taylor]: Taking taylor expansion of (/ 1 i) in beta
3.818 * [taylor]: Taking taylor expansion of i in beta
3.818 * [backup-simplify]: Simplify i into i
3.818 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
3.818 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
3.818 * [taylor]: Taking taylor expansion of beta in beta
3.818 * [backup-simplify]: Simplify 0 into 0
3.818 * [backup-simplify]: Simplify 1 into 1
3.819 * [backup-simplify]: Simplify (/ 1 1) into 1
3.819 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in beta
3.819 * [taylor]: Taking taylor expansion of (/ 1 alpha) in beta
3.819 * [taylor]: Taking taylor expansion of alpha in beta
3.819 * [backup-simplify]: Simplify alpha into alpha
3.819 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
3.819 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in beta
3.819 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in beta
3.819 * [taylor]: Taking taylor expansion of 2.0 in beta
3.819 * [backup-simplify]: Simplify 2.0 into 2.0
3.819 * [taylor]: Taking taylor expansion of (/ 1 i) in beta
3.819 * [taylor]: Taking taylor expansion of i in beta
3.819 * [backup-simplify]: Simplify i into i
3.819 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
3.819 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
3.819 * [taylor]: Taking taylor expansion of beta in beta
3.819 * [backup-simplify]: Simplify 0 into 0
3.819 * [backup-simplify]: Simplify 1 into 1
3.820 * [backup-simplify]: Simplify (/ 1 1) into 1
3.820 * [backup-simplify]: Simplify (- 1) into -1
3.820 * [backup-simplify]: Simplify (+ 0 -1) into -1
3.821 * [backup-simplify]: Simplify (+ 0 1) into 1
3.821 * [backup-simplify]: Simplify (* -1 1) into -1
3.822 * [backup-simplify]: Simplify (+ 0 1) into 1
3.822 * [backup-simplify]: Simplify (+ 0 1) into 1
3.822 * [backup-simplify]: Simplify (- 1) into -1
3.823 * [backup-simplify]: Simplify (+ 0 -1) into -1
3.823 * [backup-simplify]: Simplify (+ 0 1) into 1
3.824 * [backup-simplify]: Simplify (+ 0 1) into 1
3.824 * [backup-simplify]: Simplify (* -1 1) into -1
3.824 * [backup-simplify]: Simplify (/ -1 -1) into 1
3.824 * [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
3.824 * [taylor]: Taking taylor expansion of (* (- (/ 1 alpha) (/ 1 beta)) (+ (/ 1 alpha) (/ 1 beta))) in alpha
3.824 * [taylor]: Taking taylor expansion of (- (/ 1 alpha) (/ 1 beta)) in alpha
3.825 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
3.825 * [taylor]: Taking taylor expansion of alpha in alpha
3.825 * [backup-simplify]: Simplify 0 into 0
3.825 * [backup-simplify]: Simplify 1 into 1
3.825 * [backup-simplify]: Simplify (/ 1 1) into 1
3.825 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
3.825 * [taylor]: Taking taylor expansion of beta in alpha
3.825 * [backup-simplify]: Simplify beta into beta
3.825 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
3.825 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (/ 1 beta)) in alpha
3.825 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
3.825 * [taylor]: Taking taylor expansion of alpha in alpha
3.825 * [backup-simplify]: Simplify 0 into 0
3.825 * [backup-simplify]: Simplify 1 into 1
3.826 * [backup-simplify]: Simplify (/ 1 1) into 1
3.826 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
3.826 * [taylor]: Taking taylor expansion of beta in alpha
3.826 * [backup-simplify]: Simplify beta into beta
3.826 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
3.826 * [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
3.826 * [taylor]: Taking taylor expansion of (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) in alpha
3.826 * [taylor]: Taking taylor expansion of 2.0 in alpha
3.826 * [backup-simplify]: Simplify 2.0 into 2.0
3.826 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in alpha
3.826 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
3.826 * [taylor]: Taking taylor expansion of alpha in alpha
3.826 * [backup-simplify]: Simplify 0 into 0
3.826 * [backup-simplify]: Simplify 1 into 1
3.826 * [backup-simplify]: Simplify (/ 1 1) into 1
3.827 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in alpha
3.827 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
3.827 * [taylor]: Taking taylor expansion of 2.0 in alpha
3.827 * [backup-simplify]: Simplify 2.0 into 2.0
3.827 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
3.827 * [taylor]: Taking taylor expansion of i in alpha
3.827 * [backup-simplify]: Simplify i into i
3.827 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
3.827 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
3.827 * [taylor]: Taking taylor expansion of beta in alpha
3.827 * [backup-simplify]: Simplify beta into beta
3.827 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
3.827 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in alpha
3.827 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
3.827 * [taylor]: Taking taylor expansion of alpha in alpha
3.827 * [backup-simplify]: Simplify 0 into 0
3.827 * [backup-simplify]: Simplify 1 into 1
3.827 * [backup-simplify]: Simplify (/ 1 1) into 1
3.828 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in alpha
3.828 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
3.828 * [taylor]: Taking taylor expansion of 2.0 in alpha
3.828 * [backup-simplify]: Simplify 2.0 into 2.0
3.828 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
3.828 * [taylor]: Taking taylor expansion of i in alpha
3.828 * [backup-simplify]: Simplify i into i
3.828 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
3.828 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
3.828 * [taylor]: Taking taylor expansion of beta in alpha
3.828 * [backup-simplify]: Simplify beta into beta
3.828 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
3.828 * [backup-simplify]: Simplify (+ 1 0) into 1
3.829 * [backup-simplify]: Simplify (+ 1 0) into 1
3.829 * [backup-simplify]: Simplify (* 1 1) into 1
3.830 * [backup-simplify]: Simplify (+ 1 0) into 1
3.830 * [backup-simplify]: Simplify (- 1) into -1
3.830 * [backup-simplify]: Simplify (+ 0 -1) into -1
3.831 * [backup-simplify]: Simplify (+ 1 0) into 1
3.831 * [backup-simplify]: Simplify (* -1 1) into -1
3.831 * [backup-simplify]: Simplify (/ 1 -1) into -1
3.832 * [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
3.832 * [taylor]: Taking taylor expansion of (* (- (/ 1 alpha) (/ 1 beta)) (+ (/ 1 alpha) (/ 1 beta))) in alpha
3.832 * [taylor]: Taking taylor expansion of (- (/ 1 alpha) (/ 1 beta)) in alpha
3.832 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
3.832 * [taylor]: Taking taylor expansion of alpha in alpha
3.832 * [backup-simplify]: Simplify 0 into 0
3.832 * [backup-simplify]: Simplify 1 into 1
3.832 * [backup-simplify]: Simplify (/ 1 1) into 1
3.832 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
3.832 * [taylor]: Taking taylor expansion of beta in alpha
3.832 * [backup-simplify]: Simplify beta into beta
3.832 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
3.832 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (/ 1 beta)) in alpha
3.832 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
3.832 * [taylor]: Taking taylor expansion of alpha in alpha
3.832 * [backup-simplify]: Simplify 0 into 0
3.832 * [backup-simplify]: Simplify 1 into 1
3.832 * [backup-simplify]: Simplify (/ 1 1) into 1
3.832 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
3.832 * [taylor]: Taking taylor expansion of beta in alpha
3.832 * [backup-simplify]: Simplify beta into beta
3.832 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
3.832 * [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
3.832 * [taylor]: Taking taylor expansion of (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) in alpha
3.832 * [taylor]: Taking taylor expansion of 2.0 in alpha
3.833 * [backup-simplify]: Simplify 2.0 into 2.0
3.833 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in alpha
3.833 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
3.833 * [taylor]: Taking taylor expansion of alpha in alpha
3.833 * [backup-simplify]: Simplify 0 into 0
3.833 * [backup-simplify]: Simplify 1 into 1
3.833 * [backup-simplify]: Simplify (/ 1 1) into 1
3.833 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in alpha
3.833 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
3.833 * [taylor]: Taking taylor expansion of 2.0 in alpha
3.833 * [backup-simplify]: Simplify 2.0 into 2.0
3.833 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
3.833 * [taylor]: Taking taylor expansion of i in alpha
3.833 * [backup-simplify]: Simplify i into i
3.833 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
3.833 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
3.833 * [taylor]: Taking taylor expansion of beta in alpha
3.833 * [backup-simplify]: Simplify beta into beta
3.833 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
3.833 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in alpha
3.833 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
3.833 * [taylor]: Taking taylor expansion of alpha in alpha
3.833 * [backup-simplify]: Simplify 0 into 0
3.833 * [backup-simplify]: Simplify 1 into 1
3.833 * [backup-simplify]: Simplify (/ 1 1) into 1
3.833 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in alpha
3.833 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
3.833 * [taylor]: Taking taylor expansion of 2.0 in alpha
3.833 * [backup-simplify]: Simplify 2.0 into 2.0
3.834 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
3.834 * [taylor]: Taking taylor expansion of i in alpha
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 (/ 1 beta) in alpha
3.834 * [taylor]: Taking taylor expansion of beta in alpha
3.834 * [backup-simplify]: Simplify beta into beta
3.834 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
3.834 * [backup-simplify]: Simplify (+ 1 0) into 1
3.834 * [backup-simplify]: Simplify (+ 1 0) into 1
3.834 * [backup-simplify]: Simplify (* 1 1) into 1
3.835 * [backup-simplify]: Simplify (+ 1 0) into 1
3.835 * [backup-simplify]: Simplify (- 1) into -1
3.835 * [backup-simplify]: Simplify (+ 0 -1) into -1
3.835 * [backup-simplify]: Simplify (+ 1 0) 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 -1 in beta
3.836 * [backup-simplify]: Simplify -1 into -1
3.836 * [taylor]: Taking taylor expansion of -1 in i
3.836 * [backup-simplify]: Simplify -1 into -1
3.836 * [backup-simplify]: Simplify 0 into 0
3.837 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.837 * [backup-simplify]: Simplify (+ 0 (/ 1 beta)) into (/ 1 beta)
3.837 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.837 * [backup-simplify]: Simplify (- (/ 1 beta)) into (- (/ 1 beta))
3.837 * [backup-simplify]: Simplify (+ 0 (- (/ 1 beta))) into (- (/ 1 beta))
3.837 * [backup-simplify]: Simplify (+ (* 1 (/ 1 beta)) (* (- (/ 1 beta)) 1)) into 0
3.838 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.838 * [backup-simplify]: Simplify (* 2.0 (/ 1 i)) into (/ 2.0 i)
3.838 * [backup-simplify]: Simplify (+ (/ 2.0 i) (/ 1 beta)) into (+ (* 2.0 (/ 1 i)) (/ 1 beta))
3.838 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 (/ 1 i)) (/ 1 beta))) into (+ (* 2.0 (/ 1 i)) (/ 1 beta))
3.839 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.839 * [backup-simplify]: Simplify (* 2.0 (/ 1 i)) into (/ 2.0 i)
3.839 * [backup-simplify]: Simplify (+ (/ 2.0 i) (/ 1 beta)) into (+ (* 2.0 (/ 1 i)) (/ 1 beta))
3.839 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 (/ 1 i)) (/ 1 beta))) into (+ (* 2.0 (/ 1 i)) (/ 1 beta))
3.839 * [backup-simplify]: Simplify (- (+ (* 2.0 (/ 1 i)) (/ 1 beta))) into (- (+ (* 2.0 (/ 1 i)) (/ 1 beta)))
3.839 * [backup-simplify]: Simplify (+ 2.0 (- (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) into (- 2.0 (+ (* 2.0 (/ 1 i)) (/ 1 beta)))
3.839 * [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))))
3.840 * [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)
3.840 * [taylor]: Taking taylor expansion of (- (+ (* 4.0 (/ 1 i)) (* 2 (/ 1 beta))) 2.0) in beta
3.840 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 i)) (* 2 (/ 1 beta))) in beta
3.840 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 i)) in beta
3.840 * [taylor]: Taking taylor expansion of 4.0 in beta
3.840 * [backup-simplify]: Simplify 4.0 into 4.0
3.840 * [taylor]: Taking taylor expansion of (/ 1 i) in beta
3.840 * [taylor]: Taking taylor expansion of i in beta
3.840 * [backup-simplify]: Simplify i into i
3.840 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
3.840 * [taylor]: Taking taylor expansion of (* 2 (/ 1 beta)) in beta
3.840 * [taylor]: Taking taylor expansion of 2 in beta
3.840 * [backup-simplify]: Simplify 2 into 2
3.840 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
3.840 * [taylor]: Taking taylor expansion of beta in beta
3.840 * [backup-simplify]: Simplify 0 into 0
3.840 * [backup-simplify]: Simplify 1 into 1
3.840 * [backup-simplify]: Simplify (/ 1 1) into 1
3.840 * [taylor]: Taking taylor expansion of 2.0 in beta
3.840 * [backup-simplify]: Simplify 2.0 into 2.0
3.840 * [backup-simplify]: Simplify (* 4.0 (/ 1 i)) into (/ 4.0 i)
3.841 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.841 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0
3.841 * [backup-simplify]: Simplify (+ (/ 4.0 i) 0) into (* 4.0 (/ 1 i))
3.842 * [backup-simplify]: Simplify (- 2.0) into (- 2.0)
3.842 * [backup-simplify]: Simplify (+ (* 4.0 (/ 1 i)) (- 2.0)) into (- (* 4.0 (/ 1 i)) 2.0)
3.842 * [taylor]: Taking taylor expansion of (- (* 4.0 (/ 1 i)) 2.0) in i
3.842 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 i)) in i
3.842 * [taylor]: Taking taylor expansion of 4.0 in i
3.842 * [backup-simplify]: Simplify 4.0 into 4.0
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 2.0 in i
3.842 * [backup-simplify]: Simplify 2.0 into 2.0
3.843 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.843 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.844 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.845 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.845 * [backup-simplify]: Simplify (- 0) into 0
3.845 * [backup-simplify]: Simplify (+ 0 0) into 0
3.845 * [backup-simplify]: Simplify 0 into 0
3.845 * [taylor]: Taking taylor expansion of 0 in i
3.845 * [backup-simplify]: Simplify 0 into 0
3.845 * [backup-simplify]: Simplify 0 into 0
3.845 * [backup-simplify]: Simplify 0 into 0
3.846 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.846 * [backup-simplify]: Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
3.846 * [backup-simplify]: Simplify (+ 0 0) into 0
3.847 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.847 * [backup-simplify]: Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
3.847 * [backup-simplify]: Simplify (- 0) into 0
3.847 * [backup-simplify]: Simplify (+ 0 0) into 0
3.848 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- (/ 1 beta)) (/ 1 beta)) (* 0 1))) into (- (/ 1 (pow beta 2)))
3.848 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.848 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
3.849 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 (/ 1 i))) into 0
3.849 * [backup-simplify]: Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
3.849 * [backup-simplify]: Simplify (+ 0 0) into 0
3.849 * [backup-simplify]: Simplify (+ 0 0) into 0
3.852 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.853 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
3.853 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 (/ 1 i))) into 0
3.853 * [backup-simplify]: Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
3.853 * [backup-simplify]: Simplify (+ 0 0) into 0
3.853 * [backup-simplify]: Simplify (+ 0 0) into 0
3.854 * [backup-simplify]: Simplify (- 0) into 0
3.854 * [backup-simplify]: Simplify (+ 0 0) into 0
3.855 * [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)))))
3.856 * [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))))
3.856 * [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
3.856 * [taylor]: Taking taylor expansion of (+ (* 6.0 (/ 1 beta)) (* 12.0 (/ 1 i))) in beta
3.856 * [taylor]: Taking taylor expansion of (* 6.0 (/ 1 beta)) in beta
3.856 * [taylor]: Taking taylor expansion of 6.0 in beta
3.856 * [backup-simplify]: Simplify 6.0 into 6.0
3.856 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
3.856 * [taylor]: Taking taylor expansion of beta in beta
3.856 * [backup-simplify]: Simplify 0 into 0
3.856 * [backup-simplify]: Simplify 1 into 1
3.857 * [backup-simplify]: Simplify (/ 1 1) into 1
3.857 * [taylor]: Taking taylor expansion of (* 12.0 (/ 1 i)) in beta
3.857 * [taylor]: Taking taylor expansion of 12.0 in beta
3.857 * [backup-simplify]: Simplify 12.0 into 12.0
3.857 * [taylor]: Taking taylor expansion of (/ 1 i) in beta
3.857 * [taylor]: Taking taylor expansion of i in beta
3.857 * [backup-simplify]: Simplify i into i
3.857 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
3.857 * [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
3.857 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow beta 2))) in beta
3.857 * [taylor]: Taking taylor expansion of 2 in beta
3.857 * [backup-simplify]: Simplify 2 into 2
3.857 * [taylor]: Taking taylor expansion of (/ 1 (pow beta 2)) in beta
3.857 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
3.857 * [taylor]: Taking taylor expansion of beta in beta
3.857 * [backup-simplify]: Simplify 0 into 0
3.857 * [backup-simplify]: Simplify 1 into 1
3.857 * [backup-simplify]: Simplify (* 1 1) into 1
3.857 * [backup-simplify]: Simplify (/ 1 1) into 1
3.857 * [taylor]: Taking taylor expansion of (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 12.0 (/ 1 (* i beta))) 4.0)) in beta
3.858 * [taylor]: Taking taylor expansion of (* 12.0 (/ 1 (pow i 2))) in beta
3.858 * [taylor]: Taking taylor expansion of 12.0 in beta
3.858 * [backup-simplify]: Simplify 12.0 into 12.0
3.858 * [taylor]: Taking taylor expansion of (/ 1 (pow i 2)) in beta
3.858 * [taylor]: Taking taylor expansion of (pow i 2) in beta
3.858 * [taylor]: Taking taylor expansion of i in beta
3.858 * [backup-simplify]: Simplify i into i
3.858 * [backup-simplify]: Simplify (* i i) into (pow i 2)
3.858 * [backup-simplify]: Simplify (/ 1 (pow i 2)) into (/ 1 (pow i 2))
3.858 * [taylor]: Taking taylor expansion of (+ (* 12.0 (/ 1 (* i beta))) 4.0) in beta
3.858 * [taylor]: Taking taylor expansion of (* 12.0 (/ 1 (* i beta))) in beta
3.858 * [taylor]: Taking taylor expansion of 12.0 in beta
3.858 * [backup-simplify]: Simplify 12.0 into 12.0
3.858 * [taylor]: Taking taylor expansion of (/ 1 (* i beta)) in beta
3.858 * [taylor]: Taking taylor expansion of (* i beta) in beta
3.858 * [taylor]: Taking taylor expansion of i in beta
3.858 * [backup-simplify]: Simplify i into i
3.858 * [taylor]: Taking taylor expansion of beta in beta
3.858 * [backup-simplify]: Simplify 0 into 0
3.858 * [backup-simplify]: Simplify 1 into 1
3.858 * [backup-simplify]: Simplify (* i 0) into 0
3.858 * [backup-simplify]: Simplify (+ (* i 1) (* 0 0)) into i
3.858 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
3.858 * [taylor]: Taking taylor expansion of 4.0 in beta
3.858 * [backup-simplify]: Simplify 4.0 into 4.0
3.859 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.859 * [backup-simplify]: Simplify (+ (* 6.0 0) (* 0 1)) into 0
3.859 * [backup-simplify]: Simplify (* 12.0 (/ 1 i)) into (/ 12.0 i)
3.859 * [backup-simplify]: Simplify (+ 0 (/ 12.0 i)) into (* 12.0 (/ 1 i))
3.860 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.860 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.861 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.861 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.862 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0
3.862 * [backup-simplify]: Simplify (* 12.0 (/ 1 (pow i 2))) into (/ 12.0 (pow i 2))
3.862 * [backup-simplify]: Simplify (+ (* i 0) (+ (* 0 1) (* 0 0))) into 0
3.862 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
3.863 * [backup-simplify]: Simplify (+ (* 12.0 0) (* 0 (/ 1 i))) into 0
3.863 * [backup-simplify]: Simplify (+ 0 4.0) into 4.0
3.863 * [backup-simplify]: Simplify (+ (/ 12.0 (pow i 2)) 4.0) into (+ (* 12.0 (/ 1 (pow i 2))) 4.0)
3.863 * [backup-simplify]: Simplify (+ 0 (+ (* 12.0 (/ 1 (pow i 2))) 4.0)) into (+ (* 12.0 (/ 1 (pow i 2))) 4.0)
3.863 * [backup-simplify]: Simplify (- (+ (* 12.0 (/ 1 (pow i 2))) 4.0)) into (- (+ (* 12.0 (/ 1 (pow i 2))) 4.0))
3.864 * [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))
3.864 * [taylor]: Taking taylor expansion of (- (* 12.0 (/ 1 i)) (+ (* 12.0 (/ 1 (pow i 2))) 4.0)) in i
3.864 * [taylor]: Taking taylor expansion of (* 12.0 (/ 1 i)) in i
3.864 * [taylor]: Taking taylor expansion of 12.0 in i
3.864 * [backup-simplify]: Simplify 12.0 into 12.0
3.864 * [taylor]: Taking taylor expansion of (/ 1 i) in i
3.864 * [taylor]: Taking taylor expansion of i in i
3.864 * [backup-simplify]: Simplify 0 into 0
3.864 * [backup-simplify]: Simplify 1 into 1
3.864 * [backup-simplify]: Simplify (/ 1 1) into 1
3.864 * [taylor]: Taking taylor expansion of (+ (* 12.0 (/ 1 (pow i 2))) 4.0) in i
3.864 * [taylor]: Taking taylor expansion of (* 12.0 (/ 1 (pow i 2))) in i
3.864 * [taylor]: Taking taylor expansion of 12.0 in i
3.864 * [backup-simplify]: Simplify 12.0 into 12.0
3.864 * [taylor]: Taking taylor expansion of (/ 1 (pow i 2)) in i
3.864 * [taylor]: Taking taylor expansion of (pow i 2) in i
3.864 * [taylor]: Taking taylor expansion of i in i
3.864 * [backup-simplify]: Simplify 0 into 0
3.864 * [backup-simplify]: Simplify 1 into 1
3.864 * [backup-simplify]: Simplify (* 1 1) into 1
3.865 * [backup-simplify]: Simplify (/ 1 1) into 1
3.865 * [taylor]: Taking taylor expansion of 4.0 in i
3.865 * [backup-simplify]: Simplify 4.0 into 4.0
3.866 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.866 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.867 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.867 * [backup-simplify]: Simplify (+ (* 12.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.868 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
3.868 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.869 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.869 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.870 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.871 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.871 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.872 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.873 * [backup-simplify]: Simplify (+ (* 12.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
3.873 * [backup-simplify]: Simplify (+ 0 0) into 0
3.873 * [backup-simplify]: Simplify (- 0) into 0
3.873 * [backup-simplify]: Simplify (+ 0 0) into 0
3.873 * [backup-simplify]: Simplify 0 into 0
3.874 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
3.874 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 i))) into 0
3.874 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.875 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0
3.875 * [backup-simplify]: Simplify (+ 0 0) into 0
3.875 * [backup-simplify]: Simplify (- 0) into 0
3.876 * [backup-simplify]: Simplify (+ 0 0) into 0
3.876 * [taylor]: Taking taylor expansion of 0 in i
3.876 * [backup-simplify]: Simplify 0 into 0
3.876 * [backup-simplify]: Simplify 0 into 0
3.876 * [backup-simplify]: Simplify 0 into 0
3.876 * * * * [progress]: [ 2 / 4 ] generating series at (2 1)
3.876 * [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))))))
3.876 * [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
3.876 * [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
3.876 * [taylor]: Taking taylor expansion of (+ (/ (pow beta 2) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta))))) 1.0) in i
3.876 * [taylor]: Taking taylor expansion of (/ (pow beta 2) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta))))) in i
3.876 * [taylor]: Taking taylor expansion of (pow beta 2) in i
3.876 * [taylor]: Taking taylor expansion of beta in i
3.876 * [backup-simplify]: Simplify beta into beta
3.876 * [taylor]: Taking taylor expansion of (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta)))) in i
3.876 * [taylor]: Taking taylor expansion of (+ alpha (+ (* 2.0 i) beta)) in i
3.876 * [taylor]: Taking taylor expansion of alpha in i
3.876 * [backup-simplify]: Simplify alpha into alpha
3.877 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in i
3.877 * [taylor]: Taking taylor expansion of (* 2.0 i) in i
3.877 * [taylor]: Taking taylor expansion of 2.0 in i
3.877 * [backup-simplify]: Simplify 2.0 into 2.0
3.877 * [taylor]: Taking taylor expansion of i in i
3.877 * [backup-simplify]: Simplify 0 into 0
3.877 * [backup-simplify]: Simplify 1 into 1
3.877 * [taylor]: Taking taylor expansion of beta in i
3.877 * [backup-simplify]: Simplify beta into beta
3.877 * [taylor]: Taking taylor expansion of (+ alpha (+ 2.0 (+ (* 2.0 i) beta))) in i
3.877 * [taylor]: Taking taylor expansion of alpha in i
3.877 * [backup-simplify]: Simplify alpha into alpha
3.877 * [taylor]: Taking taylor expansion of (+ 2.0 (+ (* 2.0 i) beta)) in i
3.877 * [taylor]: Taking taylor expansion of 2.0 in i
3.877 * [backup-simplify]: Simplify 2.0 into 2.0
3.877 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in i
3.877 * [taylor]: Taking taylor expansion of (* 2.0 i) in i
3.877 * [taylor]: Taking taylor expansion of 2.0 in i
3.877 * [backup-simplify]: Simplify 2.0 into 2.0
3.877 * [taylor]: Taking taylor expansion of i in i
3.877 * [backup-simplify]: Simplify 0 into 0
3.877 * [backup-simplify]: Simplify 1 into 1
3.877 * [taylor]: Taking taylor expansion of beta in i
3.877 * [backup-simplify]: Simplify beta into beta
3.877 * [backup-simplify]: Simplify (* beta beta) into (pow beta 2)
3.877 * [backup-simplify]: Simplify (* 2.0 0) into 0
3.877 * [backup-simplify]: Simplify (+ 0 beta) into beta
3.877 * [backup-simplify]: Simplify (+ alpha beta) into (+ alpha beta)
3.878 * [backup-simplify]: Simplify (* 2.0 0) into 0
3.878 * [backup-simplify]: Simplify (+ 0 beta) into beta
3.878 * [backup-simplify]: Simplify (+ 2.0 beta) into (+ beta 2.0)
3.878 * [backup-simplify]: Simplify (+ alpha (+ beta 2.0)) into (+ alpha (+ beta 2.0))
3.878 * [backup-simplify]: Simplify (* (+ alpha beta) (+ alpha (+ beta 2.0))) into (* (+ alpha beta) (+ alpha (+ beta 2.0)))
3.878 * [backup-simplify]: Simplify (/ (pow beta 2) (* (+ alpha beta) (+ alpha (+ beta 2.0)))) into (/ (pow beta 2) (* (+ alpha beta) (+ alpha (+ beta 2.0))))
3.878 * [taylor]: Taking taylor expansion of 1.0 in i
3.878 * [backup-simplify]: Simplify 1.0 into 1.0
3.878 * [taylor]: Taking taylor expansion of (/ (pow alpha 2) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta))))) in i
3.878 * [taylor]: Taking taylor expansion of (pow alpha 2) in i
3.878 * [taylor]: Taking taylor expansion of alpha in i
3.878 * [backup-simplify]: Simplify alpha into alpha
3.878 * [taylor]: Taking taylor expansion of (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta)))) in i
3.878 * [taylor]: Taking taylor expansion of (+ alpha (+ (* 2.0 i) beta)) in i
3.878 * [taylor]: Taking taylor expansion of alpha in i
3.878 * [backup-simplify]: Simplify alpha into alpha
3.878 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in i
3.878 * [taylor]: Taking taylor expansion of (* 2.0 i) in i
3.878 * [taylor]: Taking taylor expansion of 2.0 in i
3.878 * [backup-simplify]: Simplify 2.0 into 2.0
3.878 * [taylor]: Taking taylor expansion of i in i
3.878 * [backup-simplify]: Simplify 0 into 0
3.878 * [backup-simplify]: Simplify 1 into 1
3.878 * [taylor]: Taking taylor expansion of beta in i
3.878 * [backup-simplify]: Simplify beta into beta
3.878 * [taylor]: Taking taylor expansion of (+ alpha (+ 2.0 (+ (* 2.0 i) beta))) in i
3.878 * [taylor]: Taking taylor expansion of alpha in i
3.878 * [backup-simplify]: Simplify alpha into alpha
3.878 * [taylor]: Taking taylor expansion of (+ 2.0 (+ (* 2.0 i) beta)) in i
3.878 * [taylor]: Taking taylor expansion of 2.0 in i
3.878 * [backup-simplify]: Simplify 2.0 into 2.0
3.878 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in i
3.878 * [taylor]: Taking taylor expansion of (* 2.0 i) in i
3.878 * [taylor]: Taking taylor expansion of 2.0 in i
3.878 * [backup-simplify]: Simplify 2.0 into 2.0
3.878 * [taylor]: Taking taylor expansion of i in i
3.878 * [backup-simplify]: Simplify 0 into 0
3.878 * [backup-simplify]: Simplify 1 into 1
3.878 * [taylor]: Taking taylor expansion of beta in i
3.878 * [backup-simplify]: Simplify beta into beta
3.878 * [backup-simplify]: Simplify (* alpha alpha) into (pow alpha 2)
3.879 * [backup-simplify]: Simplify (* 2.0 0) into 0
3.879 * [backup-simplify]: Simplify (+ 0 beta) into beta
3.879 * [backup-simplify]: Simplify (+ alpha beta) into (+ alpha beta)
3.879 * [backup-simplify]: Simplify (* 2.0 0) into 0
3.879 * [backup-simplify]: Simplify (+ 0 beta) into beta
3.879 * [backup-simplify]: Simplify (+ 2.0 beta) into (+ beta 2.0)
3.879 * [backup-simplify]: Simplify (+ alpha (+ beta 2.0)) into (+ alpha (+ beta 2.0))
3.879 * [backup-simplify]: Simplify (* (+ alpha beta) (+ alpha (+ beta 2.0))) into (* (+ alpha beta) (+ alpha (+ beta 2.0)))
3.880 * [backup-simplify]: Simplify (/ (pow alpha 2) (* (+ alpha beta) (+ alpha (+ beta 2.0)))) into (/ (pow alpha 2) (* (+ alpha beta) (+ alpha (+ beta 2.0))))
3.880 * [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
3.880 * [taylor]: Taking taylor expansion of (+ (/ (pow beta 2) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta))))) 1.0) in beta
3.880 * [taylor]: Taking taylor expansion of (/ (pow beta 2) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta))))) in beta
3.880 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
3.880 * [taylor]: Taking taylor expansion of beta in beta
3.880 * [backup-simplify]: Simplify 0 into 0
3.880 * [backup-simplify]: Simplify 1 into 1
3.880 * [taylor]: Taking taylor expansion of (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta)))) in beta
3.880 * [taylor]: Taking taylor expansion of (+ alpha (+ (* 2.0 i) beta)) in beta
3.880 * [taylor]: Taking taylor expansion of alpha in beta
3.880 * [backup-simplify]: Simplify alpha into alpha
3.880 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
3.880 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
3.880 * [taylor]: Taking taylor expansion of 2.0 in beta
3.880 * [backup-simplify]: Simplify 2.0 into 2.0
3.880 * [taylor]: Taking taylor expansion of i in beta
3.880 * [backup-simplify]: Simplify i into i
3.880 * [taylor]: Taking taylor expansion of beta in beta
3.880 * [backup-simplify]: Simplify 0 into 0
3.880 * [backup-simplify]: Simplify 1 into 1
3.880 * [taylor]: Taking taylor expansion of (+ alpha (+ 2.0 (+ (* 2.0 i) beta))) in beta
3.880 * [taylor]: Taking taylor expansion of alpha in beta
3.880 * [backup-simplify]: Simplify alpha into alpha
3.880 * [taylor]: Taking taylor expansion of (+ 2.0 (+ (* 2.0 i) beta)) in beta
3.880 * [taylor]: Taking taylor expansion of 2.0 in beta
3.880 * [backup-simplify]: Simplify 2.0 into 2.0
3.880 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
3.880 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
3.881 * [taylor]: Taking taylor expansion of 2.0 in beta
3.881 * [backup-simplify]: Simplify 2.0 into 2.0
3.881 * [taylor]: Taking taylor expansion of i in beta
3.881 * [backup-simplify]: Simplify i into i
3.881 * [taylor]: Taking taylor expansion of beta in beta
3.881 * [backup-simplify]: Simplify 0 into 0
3.881 * [backup-simplify]: Simplify 1 into 1
3.881 * [backup-simplify]: Simplify (* 1 1) into 1
3.881 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
3.881 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
3.881 * [backup-simplify]: Simplify (+ alpha (* 2.0 i)) into (+ alpha (* 2.0 i))
3.881 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
3.882 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
3.882 * [backup-simplify]: Simplify (+ 2.0 (* 2.0 i)) into (+ (* 2.0 i) 2.0)
3.882 * [backup-simplify]: Simplify (+ alpha (+ (* 2.0 i) 2.0)) into (+ alpha (+ (* 2.0 i) 2.0))
3.882 * [backup-simplify]: Simplify (* (+ alpha (* 2.0 i)) (+ alpha (+ (* 2.0 i) 2.0))) into (* (+ alpha (+ (* 2.0 i) 2.0)) (+ alpha (* 2.0 i)))
3.882 * [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))))
3.882 * [taylor]: Taking taylor expansion of 1.0 in beta
3.882 * [backup-simplify]: Simplify 1.0 into 1.0
3.882 * [taylor]: Taking taylor expansion of (/ (pow alpha 2) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta))))) in beta
3.882 * [taylor]: Taking taylor expansion of (pow alpha 2) in beta
3.882 * [taylor]: Taking taylor expansion of alpha in beta
3.882 * [backup-simplify]: Simplify alpha into alpha
3.882 * [taylor]: Taking taylor expansion of (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta)))) in beta
3.883 * [taylor]: Taking taylor expansion of (+ alpha (+ (* 2.0 i) beta)) in beta
3.883 * [taylor]: Taking taylor expansion of alpha in beta
3.883 * [backup-simplify]: Simplify alpha into alpha
3.883 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
3.883 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
3.883 * [taylor]: Taking taylor expansion of 2.0 in beta
3.883 * [backup-simplify]: Simplify 2.0 into 2.0
3.883 * [taylor]: Taking taylor expansion of i in beta
3.883 * [backup-simplify]: Simplify i into i
3.883 * [taylor]: Taking taylor expansion of beta in beta
3.883 * [backup-simplify]: Simplify 0 into 0
3.883 * [backup-simplify]: Simplify 1 into 1
3.883 * [taylor]: Taking taylor expansion of (+ alpha (+ 2.0 (+ (* 2.0 i) beta))) in beta
3.883 * [taylor]: Taking taylor expansion of alpha in beta
3.883 * [backup-simplify]: Simplify alpha into alpha
3.883 * [taylor]: Taking taylor expansion of (+ 2.0 (+ (* 2.0 i) beta)) in beta
3.883 * [taylor]: Taking taylor expansion of 2.0 in beta
3.883 * [backup-simplify]: Simplify 2.0 into 2.0
3.883 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
3.883 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
3.883 * [taylor]: Taking taylor expansion of 2.0 in beta
3.883 * [backup-simplify]: Simplify 2.0 into 2.0
3.883 * [taylor]: Taking taylor expansion of i in beta
3.883 * [backup-simplify]: Simplify i into i
3.883 * [taylor]: Taking taylor expansion of beta in beta
3.883 * [backup-simplify]: Simplify 0 into 0
3.883 * [backup-simplify]: Simplify 1 into 1
3.883 * [backup-simplify]: Simplify (* alpha alpha) into (pow alpha 2)
3.884 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
3.884 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
3.884 * [backup-simplify]: Simplify (+ alpha (* 2.0 i)) into (+ alpha (* 2.0 i))
3.884 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
3.884 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
3.884 * [backup-simplify]: Simplify (+ 2.0 (* 2.0 i)) into (+ (* 2.0 i) 2.0)
3.884 * [backup-simplify]: Simplify (+ alpha (+ (* 2.0 i) 2.0)) into (+ alpha (+ (* 2.0 i) 2.0))
3.884 * [backup-simplify]: Simplify (* (+ alpha (* 2.0 i)) (+ alpha (+ (* 2.0 i) 2.0))) into (* (+ alpha (+ (* 2.0 i) 2.0)) (+ alpha (* 2.0 i)))
3.885 * [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))))
3.885 * [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
3.885 * [taylor]: Taking taylor expansion of (+ (/ (pow beta 2) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta))))) 1.0) in alpha
3.885 * [taylor]: Taking taylor expansion of (/ (pow beta 2) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta))))) in alpha
3.885 * [taylor]: Taking taylor expansion of (pow beta 2) in alpha
3.885 * [taylor]: Taking taylor expansion of beta in alpha
3.885 * [backup-simplify]: Simplify beta into beta
3.885 * [taylor]: Taking taylor expansion of (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta)))) in alpha
3.885 * [taylor]: Taking taylor expansion of (+ alpha (+ (* 2.0 i) beta)) in alpha
3.885 * [taylor]: Taking taylor expansion of alpha in alpha
3.885 * [backup-simplify]: Simplify 0 into 0
3.885 * [backup-simplify]: Simplify 1 into 1
3.885 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in alpha
3.885 * [taylor]: Taking taylor expansion of (* 2.0 i) in alpha
3.885 * [taylor]: Taking taylor expansion of 2.0 in alpha
3.885 * [backup-simplify]: Simplify 2.0 into 2.0
3.885 * [taylor]: Taking taylor expansion of i in alpha
3.885 * [backup-simplify]: Simplify i into i
3.885 * [taylor]: Taking taylor expansion of beta in alpha
3.885 * [backup-simplify]: Simplify beta into beta
3.886 * [taylor]: Taking taylor expansion of (+ alpha (+ 2.0 (+ (* 2.0 i) beta))) in alpha
3.886 * [taylor]: Taking taylor expansion of alpha in alpha
3.886 * [backup-simplify]: Simplify 0 into 0
3.886 * [backup-simplify]: Simplify 1 into 1
3.886 * [taylor]: Taking taylor expansion of (+ 2.0 (+ (* 2.0 i) beta)) in alpha
3.886 * [taylor]: Taking taylor expansion of 2.0 in alpha
3.886 * [backup-simplify]: Simplify 2.0 into 2.0
3.886 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in alpha
3.886 * [taylor]: Taking taylor expansion of (* 2.0 i) in alpha
3.886 * [taylor]: Taking taylor expansion of 2.0 in alpha
3.886 * [backup-simplify]: Simplify 2.0 into 2.0
3.886 * [taylor]: Taking taylor expansion of i in alpha
3.886 * [backup-simplify]: Simplify i into i
3.886 * [taylor]: Taking taylor expansion of beta in alpha
3.886 * [backup-simplify]: Simplify beta into beta
3.886 * [backup-simplify]: Simplify (* beta beta) into (pow beta 2)
3.886 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
3.886 * [backup-simplify]: Simplify (+ (* 2.0 i) beta) into (+ (* 2.0 i) beta)
3.886 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 i) beta)) into (+ (* 2.0 i) beta)
3.887 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
3.887 * [backup-simplify]: Simplify (+ (* 2.0 i) beta) into (+ (* 2.0 i) beta)
3.887 * [backup-simplify]: Simplify (+ 2.0 (+ (* 2.0 i) beta)) into (+ (* 2.0 i) (+ beta 2.0))
3.887 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 i) (+ beta 2.0))) into (+ (* 2.0 i) (+ beta 2.0))
3.887 * [backup-simplify]: Simplify (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0))) into (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))
3.887 * [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))))
3.888 * [taylor]: Taking taylor expansion of 1.0 in alpha
3.888 * [backup-simplify]: Simplify 1.0 into 1.0
3.888 * [taylor]: Taking taylor expansion of (/ (pow alpha 2) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta))))) in alpha
3.888 * [taylor]: Taking taylor expansion of (pow alpha 2) in alpha
3.888 * [taylor]: Taking taylor expansion of alpha in alpha
3.888 * [backup-simplify]: Simplify 0 into 0
3.888 * [backup-simplify]: Simplify 1 into 1
3.888 * [taylor]: Taking taylor expansion of (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta)))) in alpha
3.888 * [taylor]: Taking taylor expansion of (+ alpha (+ (* 2.0 i) beta)) in alpha
3.888 * [taylor]: Taking taylor expansion of alpha in alpha
3.888 * [backup-simplify]: Simplify 0 into 0
3.888 * [backup-simplify]: Simplify 1 into 1
3.888 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in alpha
3.888 * [taylor]: Taking taylor expansion of (* 2.0 i) in alpha
3.888 * [taylor]: Taking taylor expansion of 2.0 in alpha
3.888 * [backup-simplify]: Simplify 2.0 into 2.0
3.888 * [taylor]: Taking taylor expansion of i in alpha
3.888 * [backup-simplify]: Simplify i into i
3.888 * [taylor]: Taking taylor expansion of beta in alpha
3.888 * [backup-simplify]: Simplify beta into beta
3.888 * [taylor]: Taking taylor expansion of (+ alpha (+ 2.0 (+ (* 2.0 i) beta))) in alpha
3.888 * [taylor]: Taking taylor expansion of alpha in alpha
3.888 * [backup-simplify]: Simplify 0 into 0
3.888 * [backup-simplify]: Simplify 1 into 1
3.888 * [taylor]: Taking taylor expansion of (+ 2.0 (+ (* 2.0 i) beta)) in alpha
3.888 * [taylor]: Taking taylor expansion of 2.0 in alpha
3.888 * [backup-simplify]: Simplify 2.0 into 2.0
3.888 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in alpha
3.888 * [taylor]: Taking taylor expansion of (* 2.0 i) in alpha
3.888 * [taylor]: Taking taylor expansion of 2.0 in alpha
3.889 * [backup-simplify]: Simplify 2.0 into 2.0
3.889 * [taylor]: Taking taylor expansion of i in alpha
3.889 * [backup-simplify]: Simplify i into i
3.889 * [taylor]: Taking taylor expansion of beta in alpha
3.889 * [backup-simplify]: Simplify beta into beta
3.889 * [backup-simplify]: Simplify (* 1 1) into 1
3.889 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
3.889 * [backup-simplify]: Simplify (+ (* 2.0 i) beta) into (+ (* 2.0 i) beta)
3.890 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 i) beta)) into (+ (* 2.0 i) beta)
3.890 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
3.890 * [backup-simplify]: Simplify (+ (* 2.0 i) beta) into (+ (* 2.0 i) beta)
3.890 * [backup-simplify]: Simplify (+ 2.0 (+ (* 2.0 i) beta)) into (+ (* 2.0 i) (+ beta 2.0))
3.890 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 i) (+ beta 2.0))) into (+ (* 2.0 i) (+ beta 2.0))
3.890 * [backup-simplify]: Simplify (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0))) into (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))
3.890 * [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))))
3.890 * [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
3.891 * [taylor]: Taking taylor expansion of (+ (/ (pow beta 2) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta))))) 1.0) in alpha
3.891 * [taylor]: Taking taylor expansion of (/ (pow beta 2) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta))))) in alpha
3.891 * [taylor]: Taking taylor expansion of (pow beta 2) in alpha
3.891 * [taylor]: Taking taylor expansion of beta in alpha
3.891 * [backup-simplify]: Simplify beta into beta
3.891 * [taylor]: Taking taylor expansion of (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta)))) in alpha
3.891 * [taylor]: Taking taylor expansion of (+ alpha (+ (* 2.0 i) beta)) in alpha
3.891 * [taylor]: Taking taylor expansion of alpha in alpha
3.891 * [backup-simplify]: Simplify 0 into 0
3.891 * [backup-simplify]: Simplify 1 into 1
3.891 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in alpha
3.891 * [taylor]: Taking taylor expansion of (* 2.0 i) in alpha
3.891 * [taylor]: Taking taylor expansion of 2.0 in alpha
3.891 * [backup-simplify]: Simplify 2.0 into 2.0
3.891 * [taylor]: Taking taylor expansion of i in alpha
3.891 * [backup-simplify]: Simplify i into i
3.891 * [taylor]: Taking taylor expansion of beta in alpha
3.891 * [backup-simplify]: Simplify beta into beta
3.891 * [taylor]: Taking taylor expansion of (+ alpha (+ 2.0 (+ (* 2.0 i) beta))) in alpha
3.891 * [taylor]: Taking taylor expansion of alpha in alpha
3.891 * [backup-simplify]: Simplify 0 into 0
3.891 * [backup-simplify]: Simplify 1 into 1
3.891 * [taylor]: Taking taylor expansion of (+ 2.0 (+ (* 2.0 i) beta)) in alpha
3.891 * [taylor]: Taking taylor expansion of 2.0 in alpha
3.891 * [backup-simplify]: Simplify 2.0 into 2.0
3.891 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in alpha
3.891 * [taylor]: Taking taylor expansion of (* 2.0 i) in alpha
3.891 * [taylor]: Taking taylor expansion of 2.0 in alpha
3.891 * [backup-simplify]: Simplify 2.0 into 2.0
3.891 * [taylor]: Taking taylor expansion of i in alpha
3.892 * [backup-simplify]: Simplify i into i
3.892 * [taylor]: Taking taylor expansion of beta in alpha
3.892 * [backup-simplify]: Simplify beta into beta
3.892 * [backup-simplify]: Simplify (* beta beta) into (pow beta 2)
3.892 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
3.892 * [backup-simplify]: Simplify (+ (* 2.0 i) beta) into (+ (* 2.0 i) beta)
3.892 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 i) beta)) into (+ (* 2.0 i) beta)
3.892 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
3.892 * [backup-simplify]: Simplify (+ (* 2.0 i) beta) into (+ (* 2.0 i) beta)
3.892 * [backup-simplify]: Simplify (+ 2.0 (+ (* 2.0 i) beta)) into (+ (* 2.0 i) (+ beta 2.0))
3.892 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 i) (+ beta 2.0))) into (+ (* 2.0 i) (+ beta 2.0))
3.893 * [backup-simplify]: Simplify (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0))) into (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))
3.893 * [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))))
3.893 * [taylor]: Taking taylor expansion of 1.0 in alpha
3.893 * [backup-simplify]: Simplify 1.0 into 1.0
3.893 * [taylor]: Taking taylor expansion of (/ (pow alpha 2) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta))))) in alpha
3.893 * [taylor]: Taking taylor expansion of (pow alpha 2) in alpha
3.893 * [taylor]: Taking taylor expansion of alpha in alpha
3.893 * [backup-simplify]: Simplify 0 into 0
3.893 * [backup-simplify]: Simplify 1 into 1
3.893 * [taylor]: Taking taylor expansion of (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta)))) in alpha
3.893 * [taylor]: Taking taylor expansion of (+ alpha (+ (* 2.0 i) beta)) in alpha
3.893 * [taylor]: Taking taylor expansion of alpha in alpha
3.893 * [backup-simplify]: Simplify 0 into 0
3.893 * [backup-simplify]: Simplify 1 into 1
3.893 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in alpha
3.893 * [taylor]: Taking taylor expansion of (* 2.0 i) in alpha
3.894 * [taylor]: Taking taylor expansion of 2.0 in alpha
3.894 * [backup-simplify]: Simplify 2.0 into 2.0
3.894 * [taylor]: Taking taylor expansion of i in alpha
3.894 * [backup-simplify]: Simplify i into i
3.894 * [taylor]: Taking taylor expansion of beta in alpha
3.894 * [backup-simplify]: Simplify beta into beta
3.894 * [taylor]: Taking taylor expansion of (+ alpha (+ 2.0 (+ (* 2.0 i) beta))) in alpha
3.894 * [taylor]: Taking taylor expansion of alpha in alpha
3.894 * [backup-simplify]: Simplify 0 into 0
3.894 * [backup-simplify]: Simplify 1 into 1
3.894 * [taylor]: Taking taylor expansion of (+ 2.0 (+ (* 2.0 i) beta)) in alpha
3.894 * [taylor]: Taking taylor expansion of 2.0 in alpha
3.894 * [backup-simplify]: Simplify 2.0 into 2.0
3.894 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in alpha
3.894 * [taylor]: Taking taylor expansion of (* 2.0 i) in alpha
3.894 * [taylor]: Taking taylor expansion of 2.0 in alpha
3.894 * [backup-simplify]: Simplify 2.0 into 2.0
3.894 * [taylor]: Taking taylor expansion of i in alpha
3.894 * [backup-simplify]: Simplify i into i
3.894 * [taylor]: Taking taylor expansion of beta in alpha
3.894 * [backup-simplify]: Simplify beta into beta
3.895 * [backup-simplify]: Simplify (* 1 1) into 1
3.895 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
3.895 * [backup-simplify]: Simplify (+ (* 2.0 i) beta) into (+ (* 2.0 i) beta)
3.895 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 i) beta)) into (+ (* 2.0 i) beta)
3.895 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
3.895 * [backup-simplify]: Simplify (+ (* 2.0 i) beta) into (+ (* 2.0 i) beta)
3.895 * [backup-simplify]: Simplify (+ 2.0 (+ (* 2.0 i) beta)) into (+ (* 2.0 i) (+ beta 2.0))
3.895 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 i) (+ beta 2.0))) into (+ (* 2.0 i) (+ beta 2.0))
3.896 * [backup-simplify]: Simplify (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0))) into (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))
3.896 * [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))))
3.896 * [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)
3.896 * [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)
3.896 * [taylor]: Taking taylor expansion of (+ (/ (pow beta 2) (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))) 1.0) in beta
3.896 * [taylor]: Taking taylor expansion of (/ (pow beta 2) (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))) in beta
3.896 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
3.896 * [taylor]: Taking taylor expansion of beta in beta
3.896 * [backup-simplify]: Simplify 0 into 0
3.896 * [backup-simplify]: Simplify 1 into 1
3.896 * [taylor]: Taking taylor expansion of (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0))) in beta
3.896 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
3.896 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
3.896 * [taylor]: Taking taylor expansion of 2.0 in beta
3.897 * [backup-simplify]: Simplify 2.0 into 2.0
3.897 * [taylor]: Taking taylor expansion of i in beta
3.897 * [backup-simplify]: Simplify i into i
3.897 * [taylor]: Taking taylor expansion of beta in beta
3.897 * [backup-simplify]: Simplify 0 into 0
3.897 * [backup-simplify]: Simplify 1 into 1
3.897 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
3.897 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
3.897 * [taylor]: Taking taylor expansion of 2.0 in beta
3.897 * [backup-simplify]: Simplify 2.0 into 2.0
3.897 * [taylor]: Taking taylor expansion of i in beta
3.897 * [backup-simplify]: Simplify i into i
3.897 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
3.897 * [taylor]: Taking taylor expansion of beta in beta
3.897 * [backup-simplify]: Simplify 0 into 0
3.897 * [backup-simplify]: Simplify 1 into 1
3.897 * [taylor]: Taking taylor expansion of 2.0 in beta
3.897 * [backup-simplify]: Simplify 2.0 into 2.0
3.897 * [backup-simplify]: Simplify (* 1 1) into 1
3.897 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
3.897 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
3.897 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
3.898 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
3.898 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
3.898 * [backup-simplify]: Simplify (* (* 2.0 i) (+ (* 2.0 i) 2.0)) into (* 2.0 (* i (+ (* 2.0 i) 2.0)))
3.898 * [backup-simplify]: Simplify (/ 1 (* 2.0 (* i (+ (* 2.0 i) 2.0)))) into (/ 0.5 (* i (+ (* 2.0 i) 2.0)))
3.898 * [taylor]: Taking taylor expansion of 1.0 in beta
3.898 * [backup-simplify]: Simplify 1.0 into 1.0
3.898 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0
3.898 * [taylor]: Taking taylor expansion of 1.0 in i
3.898 * [backup-simplify]: Simplify 1.0 into 1.0
3.898 * [backup-simplify]: Simplify 1.0 into 1.0
3.898 * [backup-simplify]: Simplify (+ (* beta 0) (* 0 beta)) into 0
3.899 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 i)) into 0
3.899 * [backup-simplify]: Simplify (+ 0 0) into 0
3.899 * [backup-simplify]: Simplify (+ 0 0) into 0
3.899 * [backup-simplify]: Simplify (+ 1 0) into 1
3.900 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 i)) into 0
3.900 * [backup-simplify]: Simplify (+ 0 0) into 0
3.900 * [backup-simplify]: Simplify (+ 1 0) into 1
3.900 * [backup-simplify]: Simplify (+ (* (+ (* 2.0 i) beta) 1) (* 1 (+ (* 2.0 i) (+ beta 2.0)))) into (+ 2.0 (+ (* 4.0 i) (* 2 beta)))
3.901 * [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)))))))
3.903 * [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)))))))
3.905 * [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)))))))
3.905 * [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
3.905 * [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
3.905 * [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
3.905 * [taylor]: Taking taylor expansion of 4.0 in beta
3.905 * [backup-simplify]: Simplify 4.0 into 4.0
3.905 * [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
3.905 * [taylor]: Taking taylor expansion of (* i (pow beta 2)) in beta
3.905 * [taylor]: Taking taylor expansion of i in beta
3.905 * [backup-simplify]: Simplify i into i
3.905 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
3.905 * [taylor]: Taking taylor expansion of beta in beta
3.905 * [backup-simplify]: Simplify 0 into 0
3.905 * [backup-simplify]: Simplify 1 into 1
3.905 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)) in beta
3.906 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 2) in beta
3.906 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
3.906 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
3.906 * [taylor]: Taking taylor expansion of 2.0 in beta
3.906 * [backup-simplify]: Simplify 2.0 into 2.0
3.906 * [taylor]: Taking taylor expansion of i in beta
3.906 * [backup-simplify]: Simplify i into i
3.906 * [taylor]: Taking taylor expansion of beta in beta
3.906 * [backup-simplify]: Simplify 0 into 0
3.906 * [backup-simplify]: Simplify 1 into 1
3.906 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
3.906 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
3.906 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 2) in beta
3.906 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
3.906 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
3.906 * [taylor]: Taking taylor expansion of 2.0 in beta
3.906 * [backup-simplify]: Simplify 2.0 into 2.0
3.906 * [taylor]: Taking taylor expansion of i in beta
3.906 * [backup-simplify]: Simplify i into i
3.906 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
3.906 * [taylor]: Taking taylor expansion of beta in beta
3.906 * [backup-simplify]: Simplify 0 into 0
3.906 * [backup-simplify]: Simplify 1 into 1
3.906 * [taylor]: Taking taylor expansion of 2.0 in beta
3.906 * [backup-simplify]: Simplify 2.0 into 2.0
3.906 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
3.906 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
3.906 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
3.907 * [backup-simplify]: Simplify (* 1 1) into 1
3.907 * [backup-simplify]: Simplify (* i 1) into i
3.907 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
3.907 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
3.907 * [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)))
3.907 * [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)))
3.907 * [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
3.907 * [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
3.907 * [taylor]: Taking taylor expansion of 2 in beta
3.908 * [backup-simplify]: Simplify 2 into 2
3.908 * [taylor]: Taking taylor expansion of (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2))) in beta
3.908 * [taylor]: Taking taylor expansion of (pow beta 3) in beta
3.908 * [taylor]: Taking taylor expansion of beta in beta
3.908 * [backup-simplify]: Simplify 0 into 0
3.908 * [backup-simplify]: Simplify 1 into 1
3.908 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)) in beta
3.908 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 2) in beta
3.908 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
3.908 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
3.908 * [taylor]: Taking taylor expansion of 2.0 in beta
3.908 * [backup-simplify]: Simplify 2.0 into 2.0
3.908 * [taylor]: Taking taylor expansion of i in beta
3.908 * [backup-simplify]: Simplify i into i
3.908 * [taylor]: Taking taylor expansion of beta in beta
3.908 * [backup-simplify]: Simplify 0 into 0
3.908 * [backup-simplify]: Simplify 1 into 1
3.908 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
3.908 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
3.908 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 2) in beta
3.908 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
3.908 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
3.908 * [taylor]: Taking taylor expansion of 2.0 in beta
3.908 * [backup-simplify]: Simplify 2.0 into 2.0
3.908 * [taylor]: Taking taylor expansion of i in beta
3.908 * [backup-simplify]: Simplify i into i
3.908 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
3.908 * [taylor]: Taking taylor expansion of beta in beta
3.908 * [backup-simplify]: Simplify 0 into 0
3.908 * [backup-simplify]: Simplify 1 into 1
3.908 * [taylor]: Taking taylor expansion of 2.0 in beta
3.908 * [backup-simplify]: Simplify 2.0 into 2.0
3.908 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
3.908 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
3.908 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
3.909 * [backup-simplify]: Simplify (* 1 1) into 1
3.909 * [backup-simplify]: Simplify (* 1 1) into 1
3.909 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
3.909 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
3.909 * [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)))
3.910 * [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)))
3.910 * [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
3.910 * [taylor]: Taking taylor expansion of 2.0 in beta
3.910 * [backup-simplify]: Simplify 2.0 into 2.0
3.910 * [taylor]: Taking taylor expansion of (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2))) in beta
3.910 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
3.910 * [taylor]: Taking taylor expansion of beta in beta
3.910 * [backup-simplify]: Simplify 0 into 0
3.910 * [backup-simplify]: Simplify 1 into 1
3.910 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)) in beta
3.910 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 2) in beta
3.910 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
3.910 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
3.910 * [taylor]: Taking taylor expansion of 2.0 in beta
3.910 * [backup-simplify]: Simplify 2.0 into 2.0
3.910 * [taylor]: Taking taylor expansion of i in beta
3.910 * [backup-simplify]: Simplify i into i
3.910 * [taylor]: Taking taylor expansion of beta in beta
3.910 * [backup-simplify]: Simplify 0 into 0
3.910 * [backup-simplify]: Simplify 1 into 1
3.910 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
3.910 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
3.910 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 2) in beta
3.910 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
3.910 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
3.910 * [taylor]: Taking taylor expansion of 2.0 in beta
3.910 * [backup-simplify]: Simplify 2.0 into 2.0
3.910 * [taylor]: Taking taylor expansion of i in beta
3.910 * [backup-simplify]: Simplify i into i
3.910 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
3.910 * [taylor]: Taking taylor expansion of beta in beta
3.910 * [backup-simplify]: Simplify 0 into 0
3.910 * [backup-simplify]: Simplify 1 into 1
3.910 * [taylor]: Taking taylor expansion of 2.0 in beta
3.910 * [backup-simplify]: Simplify 2.0 into 2.0
3.910 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
3.911 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
3.911 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
3.911 * [backup-simplify]: Simplify (* 1 1) into 1
3.911 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
3.911 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
3.911 * [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)))
3.911 * [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)))
3.912 * [backup-simplify]: Simplify (+ 0 0) into 0
3.912 * [taylor]: Taking taylor expansion of 0 in i
3.912 * [backup-simplify]: Simplify 0 into 0
3.912 * [backup-simplify]: Simplify 0 into 0
3.912 * [backup-simplify]: Simplify 0 into 0
3.912 * [backup-simplify]: Simplify (+ (* beta 0) (+ (* 0 0) (* 0 beta))) into 0
3.913 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 i))) into 0
3.913 * [backup-simplify]: Simplify (+ 0 0) into 0
3.913 * [backup-simplify]: Simplify (+ 0 0) into 0
3.914 * [backup-simplify]: Simplify (+ 0 0) into 0
3.914 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 i))) into 0
3.914 * [backup-simplify]: Simplify (+ 0 0) into 0
3.915 * [backup-simplify]: Simplify (+ 0 0) into 0
3.915 * [backup-simplify]: Simplify (+ (* (+ (* 2.0 i) beta) 0) (+ (* 1 1) (* 0 (+ (* 2.0 i) (+ beta 2.0))))) into 1
3.919 * [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))))
3.924 * [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))))
3.925 * [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)))))
3.932 * [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)))))
3.932 * [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
3.932 * [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
3.932 * [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
3.932 * [taylor]: Taking taylor expansion of 16.0 in beta
3.932 * [backup-simplify]: Simplify 16.0 into 16.0
3.932 * [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
3.932 * [taylor]: Taking taylor expansion of (* (pow i 2) (pow beta 2)) in beta
3.932 * [taylor]: Taking taylor expansion of (pow i 2) in beta
3.932 * [taylor]: Taking taylor expansion of i in beta
3.932 * [backup-simplify]: Simplify i into i
3.932 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
3.932 * [taylor]: Taking taylor expansion of beta in beta
3.933 * [backup-simplify]: Simplify 0 into 0
3.933 * [backup-simplify]: Simplify 1 into 1
3.933 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)) in beta
3.933 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 3) in beta
3.933 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
3.933 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
3.933 * [taylor]: Taking taylor expansion of 2.0 in beta
3.933 * [backup-simplify]: Simplify 2.0 into 2.0
3.933 * [taylor]: Taking taylor expansion of i in beta
3.933 * [backup-simplify]: Simplify i into i
3.933 * [taylor]: Taking taylor expansion of beta in beta
3.933 * [backup-simplify]: Simplify 0 into 0
3.933 * [backup-simplify]: Simplify 1 into 1
3.933 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
3.933 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
3.933 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 3) in beta
3.933 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
3.933 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
3.933 * [taylor]: Taking taylor expansion of 2.0 in beta
3.933 * [backup-simplify]: Simplify 2.0 into 2.0
3.933 * [taylor]: Taking taylor expansion of i in beta
3.933 * [backup-simplify]: Simplify i into i
3.933 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
3.933 * [taylor]: Taking taylor expansion of beta in beta
3.933 * [backup-simplify]: Simplify 0 into 0
3.933 * [backup-simplify]: Simplify 1 into 1
3.933 * [taylor]: Taking taylor expansion of 2.0 in beta
3.933 * [backup-simplify]: Simplify 2.0 into 2.0
3.933 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
3.934 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
3.934 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
3.934 * [backup-simplify]: Simplify (* i i) into (pow i 2)
3.935 * [backup-simplify]: Simplify (* 1 1) into 1
3.935 * [backup-simplify]: Simplify (* (pow i 2) 1) into (pow i 2)
3.935 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
3.935 * [backup-simplify]: Simplify (* (* 2.0 i) (* 4.0 (pow i 2))) into (* 8.0 (pow i 3))
3.935 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
3.936 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (pow (+ (* 2.0 i) 2.0) 2)) into (pow (+ (* 2.0 i) 2.0) 3)
3.936 * [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)))
3.936 * [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)))
3.936 * [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
3.937 * [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
3.937 * [taylor]: Taking taylor expansion of 4 in beta
3.937 * [backup-simplify]: Simplify 4 into 4
3.937 * [taylor]: Taking taylor expansion of (/ (pow beta 4) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3))) in beta
3.937 * [taylor]: Taking taylor expansion of (pow beta 4) in beta
3.937 * [taylor]: Taking taylor expansion of beta in beta
3.937 * [backup-simplify]: Simplify 0 into 0
3.937 * [backup-simplify]: Simplify 1 into 1
3.937 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)) in beta
3.937 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 3) in beta
3.937 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
3.937 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
3.937 * [taylor]: Taking taylor expansion of 2.0 in beta
3.937 * [backup-simplify]: Simplify 2.0 into 2.0
3.937 * [taylor]: Taking taylor expansion of i in beta
3.937 * [backup-simplify]: Simplify i into i
3.937 * [taylor]: Taking taylor expansion of beta in beta
3.937 * [backup-simplify]: Simplify 0 into 0
3.937 * [backup-simplify]: Simplify 1 into 1
3.937 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
3.937 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
3.937 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 3) in beta
3.937 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
3.937 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
3.937 * [taylor]: Taking taylor expansion of 2.0 in beta
3.937 * [backup-simplify]: Simplify 2.0 into 2.0
3.937 * [taylor]: Taking taylor expansion of i in beta
3.937 * [backup-simplify]: Simplify i into i
3.938 * [taylor]: Taking taylor expansion of (+ beta 2.0) 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 2.0 in beta
3.938 * [backup-simplify]: Simplify 2.0 into 2.0
3.938 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
3.938 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
3.938 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
3.939 * [backup-simplify]: Simplify (* 1 1) into 1
3.939 * [backup-simplify]: Simplify (* 1 1) into 1
3.939 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
3.939 * [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)))
3.941 * [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)))
3.941 * [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
3.941 * [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
3.941 * [taylor]: Taking taylor expansion of 8.0 in beta
3.941 * [backup-simplify]: Simplify 8.0 into 8.0
3.941 * [taylor]: Taking taylor expansion of (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3))) in beta
3.941 * [taylor]: Taking taylor expansion of (pow beta 3) 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
3.942 * [taylor]: Taking taylor expansion of 2.0 in beta
3.942 * [backup-simplify]: Simplify 2.0 into 2.0
3.942 * [taylor]: Taking taylor expansion of i in beta
3.942 * [backup-simplify]: Simplify i into i
3.942 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
3.942 * [taylor]: Taking taylor expansion of beta in beta
3.942 * [backup-simplify]: Simplify 0 into 0
3.942 * [backup-simplify]: Simplify 1 into 1
3.942 * [taylor]: Taking taylor expansion of 2.0 in beta
3.942 * [backup-simplify]: Simplify 2.0 into 2.0
3.942 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
3.943 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
3.943 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
3.943 * [backup-simplify]: Simplify (* 1 1) into 1
3.943 * [backup-simplify]: Simplify (* 1 1) into 1
3.944 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
3.944 * [backup-simplify]: Simplify (* (* 2.0 i) (* 4.0 (pow i 2))) into (* 8.0 (pow i 3))
3.944 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
3.944 * [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)
3.947 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
3.947 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
3.947 * [backup-simplify]: Simplify (* 1 1) into 1
3.948 * [backup-simplify]: Simplify (* 1 1) into 1
3.948 * [backup-simplify]: Simplify (* i 1) into i
3.948 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
3.948 * [backup-simplify]: Simplify (* (* 2.0 i) (* 4.0 (pow i 2))) into (* 8.0 (pow i 3))
3.948 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
3.948 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (pow (+ (* 2.0 i) 2.0) 2)) into (pow (+ (* 2.0 i) 2.0) 3)
3.949 * [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)))
3.949 * [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)))
3.949 * [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
3.949 * [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
3.949 * [taylor]: Taking taylor expansion of 16.0 in beta
3.949 * [backup-simplify]: Simplify 16.0 into 16.0
3.949 * [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
3.949 * [taylor]: Taking taylor expansion of (* i (pow beta 2)) in beta
3.949 * [taylor]: Taking taylor expansion of i in beta
3.949 * [backup-simplify]: Simplify i into i
3.949 * [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
3.952 * [backup-simplify]: Simplify (* i 1) into i
3.952 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
3.952 * [backup-simplify]: Simplify (* (* 2.0 i) (* 4.0 (pow i 2))) into (* 8.0 (pow i 3))
3.952 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
3.952 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (pow (+ (* 2.0 i) 2.0) 2)) into (pow (+ (* 2.0 i) 2.0) 3)
3.953 * [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)))
3.953 * [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)))
3.953 * [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
3.953 * [taylor]: Taking taylor expansion of 4.0 in beta
3.953 * [backup-simplify]: Simplify 4.0 into 4.0
3.953 * [taylor]: Taking taylor expansion of (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3))) in beta
3.953 * [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) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)) in beta
3.953 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 3) 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
3.954 * [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 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
3.954 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
3.954 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 3) in beta
3.954 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
3.954 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
3.954 * [taylor]: Taking taylor expansion of 2.0 in beta
3.954 * [backup-simplify]: Simplify 2.0 into 2.0
3.954 * [taylor]: Taking taylor expansion of i in beta
3.954 * [backup-simplify]: Simplify i into i
3.954 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
3.954 * [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)
3.955 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
3.955 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
3.955 * [backup-simplify]: Simplify (* 1 1) into 1
3.955 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
3.955 * [backup-simplify]: Simplify (* (* 2.0 i) (* 4.0 (pow i 2))) into (* 8.0 (pow i 3))
3.956 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
3.956 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (pow (+ (* 2.0 i) 2.0) 2)) into (pow (+ (* 2.0 i) 2.0) 3)
3.956 * [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)))
3.956 * [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)))
3.957 * [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
3.957 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))) in beta
3.957 * [taylor]: Taking taylor expansion of (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0))) in beta
3.957 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
3.957 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
3.957 * [taylor]: Taking taylor expansion of 2.0 in beta
3.957 * [backup-simplify]: Simplify 2.0 into 2.0
3.957 * [taylor]: Taking taylor expansion of i in beta
3.957 * [backup-simplify]: Simplify i into i
3.957 * [taylor]: Taking taylor expansion of beta in beta
3.957 * [backup-simplify]: Simplify 0 into 0
3.957 * [backup-simplify]: Simplify 1 into 1
3.957 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
3.957 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
3.957 * [taylor]: Taking taylor expansion of 2.0 in beta
3.957 * [backup-simplify]: Simplify 2.0 into 2.0
3.957 * [taylor]: Taking taylor expansion of i in beta
3.957 * [backup-simplify]: Simplify i into i
3.957 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
3.957 * [taylor]: Taking taylor expansion of beta in beta
3.957 * [backup-simplify]: Simplify 0 into 0
3.957 * [backup-simplify]: Simplify 1 into 1
3.957 * [taylor]: Taking taylor expansion of 2.0 in beta
3.957 * [backup-simplify]: Simplify 2.0 into 2.0
3.957 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
3.957 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
3.957 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
3.958 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
3.958 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
3.958 * [backup-simplify]: Simplify (* (* 2.0 i) (+ (* 2.0 i) 2.0)) into (* 2.0 (* i (+ (* 2.0 i) 2.0)))
3.958 * [backup-simplify]: Simplify (/ 1 (* 2.0 (* i (+ (* 2.0 i) 2.0)))) into (/ 0.5 (* i (+ (* 2.0 i) 2.0)))
3.958 * [taylor]: Taking taylor expansion of (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2))) in beta
3.958 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
3.958 * [taylor]: Taking taylor expansion of beta in beta
3.958 * [backup-simplify]: Simplify 0 into 0
3.958 * [backup-simplify]: Simplify 1 into 1
3.958 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)) in beta
3.958 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 2) in beta
3.958 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
3.958 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
3.959 * [taylor]: Taking taylor expansion of 2.0 in beta
3.959 * [backup-simplify]: Simplify 2.0 into 2.0
3.959 * [taylor]: Taking taylor expansion of i in beta
3.959 * [backup-simplify]: Simplify i into i
3.959 * [taylor]: Taking taylor expansion of beta in beta
3.959 * [backup-simplify]: Simplify 0 into 0
3.959 * [backup-simplify]: Simplify 1 into 1
3.959 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
3.959 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
3.959 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 2) in beta
3.959 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
3.959 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
3.959 * [taylor]: Taking taylor expansion of 2.0 in beta
3.959 * [backup-simplify]: Simplify 2.0 into 2.0
3.959 * [taylor]: Taking taylor expansion of i in beta
3.959 * [backup-simplify]: Simplify i into i
3.959 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
3.959 * [taylor]: Taking taylor expansion of beta in beta
3.959 * [backup-simplify]: Simplify 0 into 0
3.959 * [backup-simplify]: Simplify 1 into 1
3.959 * [taylor]: Taking taylor expansion of 2.0 in beta
3.959 * [backup-simplify]: Simplify 2.0 into 2.0
3.959 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
3.960 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
3.960 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
3.960 * [backup-simplify]: Simplify (* 1 1) into 1
3.960 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
3.960 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
3.961 * [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)))
3.961 * [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)))
3.961 * [backup-simplify]: Simplify (+ (/ 0.5 (* i (+ (* 2.0 i) 2.0))) 0) into (* 0.5 (/ 1 (* i (+ (* 2.0 i) 2.0))))
3.961 * [backup-simplify]: Simplify (- (* 0.5 (/ 1 (* i (+ (* 2.0 i) 2.0))))) into (- (* 0.5 (/ 1 (* i (+ (* 2.0 i) 2.0)))))
3.962 * [backup-simplify]: Simplify (+ 0 (- (* 0.5 (/ 1 (* i (+ (* 2.0 i) 2.0)))))) into (- (* 0.5 (/ 1 (* i (+ (* 2.0 i) 2.0)))))
3.962 * [taylor]: Taking taylor expansion of (- (* 0.5 (/ 1 (* i (+ (* 2.0 i) 2.0))))) in i
3.962 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (* i (+ (* 2.0 i) 2.0)))) in i
3.962 * [taylor]: Taking taylor expansion of 0.5 in i
3.962 * [backup-simplify]: Simplify 0.5 into 0.5
3.962 * [taylor]: Taking taylor expansion of (/ 1 (* i (+ (* 2.0 i) 2.0))) in i
3.962 * [taylor]: Taking taylor expansion of (* i (+ (* 2.0 i) 2.0)) in i
3.962 * [taylor]: Taking taylor expansion of i in i
3.962 * [backup-simplify]: Simplify 0 into 0
3.962 * [backup-simplify]: Simplify 1 into 1
3.962 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) 2.0) in i
3.962 * [taylor]: Taking taylor expansion of (* 2.0 i) in i
3.962 * [taylor]: Taking taylor expansion of 2.0 in i
3.962 * [backup-simplify]: Simplify 2.0 into 2.0
3.962 * [taylor]: Taking taylor expansion of i in i
3.962 * [backup-simplify]: Simplify 0 into 0
3.962 * [backup-simplify]: Simplify 1 into 1
3.962 * [taylor]: Taking taylor expansion of 2.0 in i
3.962 * [backup-simplify]: Simplify 2.0 into 2.0
3.963 * [backup-simplify]: Simplify (* 2.0 0) into 0
3.963 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
3.963 * [backup-simplify]: Simplify (* 0 2.0) into 0
3.964 * [backup-simplify]: Simplify (+ (* 2.0 1) (* 0 0)) into 2.0
3.965 * [backup-simplify]: Simplify (+ 2.0 0) into 2.0
3.966 * [backup-simplify]: Simplify (+ (* 0 2.0) (* 1 2.0)) into 2.0
3.966 * [backup-simplify]: Simplify (/ 1 2.0) into 0.5
3.967 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 1) (* 0 0))) into 0
3.967 * [backup-simplify]: Simplify (+ 0 0) into 0
3.968 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 2.0) (* 0 2.0))) into 2.0
3.970 * [backup-simplify]: Simplify (- (+ (* 0.5 (/ 2.0 2.0)))) into (- 0.5)
3.971 * [backup-simplify]: Simplify (+ (* 0.5 (- 0.5)) (* 0 0.5)) into (- 0.25)
3.971 * [backup-simplify]: Simplify (- (- 0.25)) into 0.25
3.971 * [backup-simplify]: Simplify 0.25 into 0.25
3.971 * [backup-simplify]: Simplify (+ (/ 0.5 (* i (+ (* 2.0 i) 2.0))) 0) into (* 0.5 (/ 1 (* i (+ (* 2.0 i) 2.0))))
3.971 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (* i (+ (* 2.0 i) 2.0)))) in i
3.972 * [taylor]: Taking taylor expansion of 0.5 in i
3.972 * [backup-simplify]: Simplify 0.5 into 0.5
3.972 * [taylor]: Taking taylor expansion of (/ 1 (* i (+ (* 2.0 i) 2.0))) in i
3.972 * [taylor]: Taking taylor expansion of (* i (+ (* 2.0 i) 2.0)) in i
3.972 * [taylor]: Taking taylor expansion of i in i
3.972 * [backup-simplify]: Simplify 0 into 0
3.972 * [backup-simplify]: Simplify 1 into 1
3.972 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) 2.0) in i
3.972 * [taylor]: Taking taylor expansion of (* 2.0 i) in i
3.972 * [taylor]: Taking taylor expansion of 2.0 in i
3.972 * [backup-simplify]: Simplify 2.0 into 2.0
3.972 * [taylor]: Taking taylor expansion of i in i
3.972 * [backup-simplify]: Simplify 0 into 0
3.972 * [backup-simplify]: Simplify 1 into 1
3.972 * [taylor]: Taking taylor expansion of 2.0 in i
3.972 * [backup-simplify]: Simplify 2.0 into 2.0
3.972 * [backup-simplify]: Simplify (* 2.0 0) into 0
3.972 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
3.973 * [backup-simplify]: Simplify (* 0 2.0) into 0
3.976 * [backup-simplify]: Simplify (+ (* 2.0 1) (* 0 0)) into 2.0
3.977 * [backup-simplify]: Simplify (+ 2.0 0) into 2.0
3.978 * [backup-simplify]: Simplify (+ (* 0 2.0) (* 1 2.0)) into 2.0
3.978 * [backup-simplify]: Simplify (/ 1 2.0) into 0.5
3.979 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 1) (* 0 0))) into 0
3.979 * [backup-simplify]: Simplify (+ 0 0) into 0
3.980 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 2.0) (* 0 2.0))) into 2.0
3.982 * [backup-simplify]: Simplify (- (+ (* 0.5 (/ 2.0 2.0)))) into (- 0.5)
3.983 * [backup-simplify]: Simplify (+ (* 0.5 (- 0.5)) (* 0 0.5)) into (- 0.25)
3.983 * [backup-simplify]: Simplify (- 0.25) into (- 0.25)
3.984 * [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)))
3.984 * [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)))))))
3.984 * [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
3.984 * [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
3.984 * [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
3.984 * [taylor]: Taking taylor expansion of 1.0 in i
3.985 * [backup-simplify]: Simplify 1.0 into 1.0
3.985 * [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
3.985 * [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
3.985 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) in i
3.985 * [taylor]: Taking taylor expansion of (/ 1 alpha) in i
3.985 * [taylor]: Taking taylor expansion of alpha in i
3.985 * [backup-simplify]: Simplify alpha into alpha
3.985 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
3.985 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0)) in i
3.985 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in i
3.985 * [taylor]: Taking taylor expansion of 2.0 in i
3.985 * [backup-simplify]: Simplify 2.0 into 2.0
3.985 * [taylor]: Taking taylor expansion of (/ 1 i) in i
3.985 * [taylor]: Taking taylor expansion of i in i
3.985 * [backup-simplify]: Simplify 0 into 0
3.985 * [backup-simplify]: Simplify 1 into 1
3.985 * [backup-simplify]: Simplify (/ 1 1) into 1
3.985 * [taylor]: Taking taylor expansion of (+ (/ 1 beta) 2.0) in i
3.985 * [taylor]: Taking taylor expansion of (/ 1 beta) in i
3.985 * [taylor]: Taking taylor expansion of beta in i
3.985 * [backup-simplify]: Simplify beta into beta
3.985 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
3.985 * [taylor]: Taking taylor expansion of 2.0 in i
3.985 * [backup-simplify]: Simplify 2.0 into 2.0
3.985 * [taylor]: Taking taylor expansion of (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2)) in i
3.985 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in i
3.985 * [taylor]: Taking taylor expansion of (/ 1 alpha) in i
3.985 * [taylor]: Taking taylor expansion of alpha in i
3.985 * [backup-simplify]: Simplify alpha into alpha
3.985 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
3.985 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in i
3.985 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in i
3.985 * [taylor]: Taking taylor expansion of 2.0 in i
3.985 * [backup-simplify]: Simplify 2.0 into 2.0
3.985 * [taylor]: Taking taylor expansion of (/ 1 i) in i
3.985 * [taylor]: Taking taylor expansion of i in i
3.985 * [backup-simplify]: Simplify 0 into 0
3.985 * [backup-simplify]: Simplify 1 into 1
3.986 * [backup-simplify]: Simplify (/ 1 1) into 1
3.986 * [taylor]: Taking taylor expansion of (/ 1 beta) in i
3.986 * [taylor]: Taking taylor expansion of beta in i
3.986 * [backup-simplify]: Simplify beta into beta
3.986 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
3.986 * [taylor]: Taking taylor expansion of (pow beta 2) in i
3.986 * [taylor]: Taking taylor expansion of beta in i
3.986 * [backup-simplify]: Simplify beta into beta
3.986 * [backup-simplify]: Simplify (* 2.0 1) into 2.0
3.986 * [backup-simplify]: Simplify (+ 2.0 0) into 2.0
3.987 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
3.987 * [backup-simplify]: Simplify (* 2.0 1) into 2.0
3.987 * [backup-simplify]: Simplify (+ 2.0 0) into 2.0
3.988 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
3.988 * [backup-simplify]: Simplify (* beta beta) into (pow beta 2)
3.988 * [backup-simplify]: Simplify (* 2.0 (pow beta 2)) into (* 2.0 (pow beta 2))
3.988 * [backup-simplify]: Simplify (* 2.0 (* 2.0 (pow beta 2))) into (* 4.0 (pow beta 2))
3.988 * [backup-simplify]: Simplify (/ 1 (* 4.0 (pow beta 2))) into (/ 0.25 (pow beta 2))
3.988 * [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
3.988 * [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
3.988 * [taylor]: Taking taylor expansion of (pow alpha 2) in i
3.988 * [taylor]: Taking taylor expansion of alpha in i
3.988 * [backup-simplify]: Simplify alpha into alpha
3.988 * [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
3.988 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in i
3.988 * [taylor]: Taking taylor expansion of (/ 1 alpha) in i
3.988 * [taylor]: Taking taylor expansion of alpha in i
3.989 * [backup-simplify]: Simplify alpha into alpha
3.989 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
3.989 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in i
3.989 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in i
3.989 * [taylor]: Taking taylor expansion of 2.0 in i
3.989 * [backup-simplify]: Simplify 2.0 into 2.0
3.989 * [taylor]: Taking taylor expansion of (/ 1 i) in i
3.989 * [taylor]: Taking taylor expansion of i in i
3.989 * [backup-simplify]: Simplify 0 into 0
3.989 * [backup-simplify]: Simplify 1 into 1
3.989 * [backup-simplify]: Simplify (/ 1 1) into 1
3.989 * [taylor]: Taking taylor expansion of (/ 1 beta) in i
3.989 * [taylor]: Taking taylor expansion of beta in i
3.989 * [backup-simplify]: Simplify beta into beta
3.989 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
3.989 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) in i
3.989 * [taylor]: Taking taylor expansion of (/ 1 alpha) in i
3.989 * [taylor]: Taking taylor expansion of alpha in i
3.989 * [backup-simplify]: Simplify alpha into alpha
3.989 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
3.990 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0)) in i
3.990 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in i
3.990 * [taylor]: Taking taylor expansion of 2.0 in i
3.990 * [backup-simplify]: Simplify 2.0 into 2.0
3.990 * [taylor]: Taking taylor expansion of (/ 1 i) in i
3.990 * [taylor]: Taking taylor expansion of i in i
3.990 * [backup-simplify]: Simplify 0 into 0
3.990 * [backup-simplify]: Simplify 1 into 1
3.990 * [backup-simplify]: Simplify (/ 1 1) into 1
3.990 * [taylor]: Taking taylor expansion of (+ (/ 1 beta) 2.0) in i
3.990 * [taylor]: Taking taylor expansion of (/ 1 beta) in i
3.990 * [taylor]: Taking taylor expansion of beta in i
3.990 * [backup-simplify]: Simplify beta into beta
3.990 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
3.990 * [taylor]: Taking taylor expansion of 2.0 in i
3.990 * [backup-simplify]: Simplify 2.0 into 2.0
3.990 * [backup-simplify]: Simplify (* alpha alpha) into (pow alpha 2)
3.991 * [backup-simplify]: Simplify (* 2.0 1) into 2.0
3.991 * [backup-simplify]: Simplify (+ 2.0 0) into 2.0
3.992 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
3.992 * [backup-simplify]: Simplify (* 2.0 1) into 2.0
3.993 * [backup-simplify]: Simplify (+ 2.0 0) into 2.0
3.993 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
3.993 * [backup-simplify]: Simplify (* 2.0 2.0) into 4.0
3.993 * [backup-simplify]: Simplify (* (pow alpha 2) 4.0) into (* 4.0 (pow alpha 2))
3.994 * [backup-simplify]: Simplify (/ 1 (* 4.0 (pow alpha 2))) into (/ 0.25 (pow alpha 2))
3.994 * [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
3.994 * [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
3.994 * [taylor]: Taking taylor expansion of 1.0 in beta
3.994 * [backup-simplify]: Simplify 1.0 into 1.0
3.994 * [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
3.994 * [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
3.994 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) in beta
3.994 * [taylor]: Taking taylor expansion of (/ 1 alpha) in beta
3.994 * [taylor]: Taking taylor expansion of alpha in beta
3.994 * [backup-simplify]: Simplify alpha into alpha
3.994 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
3.994 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0)) in beta
3.994 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 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 (/ 1 i) in beta
3.994 * [taylor]: Taking taylor expansion of i in beta
3.994 * [backup-simplify]: Simplify i into i
3.994 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
3.994 * [taylor]: Taking taylor expansion of (+ (/ 1 beta) 2.0) in beta
3.994 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
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
3.995 * [backup-simplify]: Simplify (/ 1 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 * [taylor]: Taking taylor expansion of (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2)) in beta
3.995 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in beta
3.995 * [taylor]: Taking taylor expansion of (/ 1 alpha) in beta
3.995 * [taylor]: Taking taylor expansion of alpha in beta
3.995 * [backup-simplify]: Simplify alpha into alpha
3.995 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
3.995 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in beta
3.995 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in beta
3.995 * [taylor]: Taking taylor expansion of 2.0 in beta
3.995 * [backup-simplify]: Simplify 2.0 into 2.0
3.995 * [taylor]: Taking taylor expansion of (/ 1 i) in beta
3.995 * [taylor]: Taking taylor expansion of i in beta
3.995 * [backup-simplify]: Simplify i into i
3.995 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
3.995 * [taylor]: Taking taylor expansion of (/ 1 beta) 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
3.996 * [backup-simplify]: Simplify (/ 1 1) into 1
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 * [backup-simplify]: Simplify (+ 1 0) into 1
3.997 * [backup-simplify]: Simplify (+ 0 1) into 1
3.997 * [backup-simplify]: Simplify (+ 0 1) into 1
3.997 * [backup-simplify]: Simplify (+ 0 1) into 1
3.998 * [backup-simplify]: Simplify (+ 0 1) into 1
3.998 * [backup-simplify]: Simplify (* 1 1) into 1
3.999 * [backup-simplify]: Simplify (* 1 1) into 1
3.999 * [backup-simplify]: Simplify (* 1 1) into 1
3.999 * [backup-simplify]: Simplify (/ 1 1) into 1
3.999 * [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
3.999 * [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
3.999 * [taylor]: Taking taylor expansion of (pow alpha 2) in beta
3.999 * [taylor]: Taking taylor expansion of alpha in beta
3.999 * [backup-simplify]: Simplify alpha into alpha
3.999 * [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
4.000 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in beta
4.000 * [taylor]: Taking taylor expansion of (/ 1 alpha) in beta
4.000 * [taylor]: Taking taylor expansion of alpha in beta
4.000 * [backup-simplify]: Simplify alpha into alpha
4.000 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
4.000 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in beta
4.000 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in beta
4.000 * [taylor]: Taking taylor expansion of 2.0 in beta
4.000 * [backup-simplify]: Simplify 2.0 into 2.0
4.000 * [taylor]: Taking taylor expansion of (/ 1 i) in beta
4.000 * [taylor]: Taking taylor expansion of i in beta
4.000 * [backup-simplify]: Simplify i into i
4.000 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
4.000 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
4.000 * [taylor]: Taking taylor expansion of beta in beta
4.000 * [backup-simplify]: Simplify 0 into 0
4.000 * [backup-simplify]: Simplify 1 into 1
4.000 * [backup-simplify]: Simplify (/ 1 1) into 1
4.000 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) in beta
4.000 * [taylor]: Taking taylor expansion of (/ 1 alpha) in beta
4.000 * [taylor]: Taking taylor expansion of alpha in beta
4.001 * [backup-simplify]: Simplify alpha into alpha
4.001 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
4.001 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0)) in beta
4.001 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 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 (/ 1 i) in beta
4.001 * [taylor]: Taking taylor expansion of i in beta
4.001 * [backup-simplify]: Simplify i into i
4.001 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
4.001 * [taylor]: Taking taylor expansion of (+ (/ 1 beta) 2.0) in beta
4.001 * [taylor]: Taking taylor expansion of (/ 1 beta) 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 * [backup-simplify]: Simplify (/ 1 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 (* alpha alpha) into (pow alpha 2)
4.002 * [backup-simplify]: Simplify (+ 0 1) into 1
4.002 * [backup-simplify]: Simplify (+ 0 1) into 1
4.002 * [backup-simplify]: Simplify (+ 1 0) into 1
4.003 * [backup-simplify]: Simplify (+ 0 1) into 1
4.003 * [backup-simplify]: Simplify (+ 0 1) into 1
4.003 * [backup-simplify]: Simplify (* 1 1) into 1
4.003 * [backup-simplify]: Simplify (* (pow alpha 2) 1) into (pow alpha 2)
4.003 * [backup-simplify]: Simplify (/ 1 (pow alpha 2)) into (/ 1 (pow alpha 2))
4.003 * [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
4.003 * [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
4.003 * [taylor]: Taking taylor expansion of 1.0 in alpha
4.003 * [backup-simplify]: Simplify 1.0 into 1.0
4.003 * [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
4.003 * [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
4.003 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) in alpha
4.003 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
4.004 * [taylor]: Taking taylor expansion of alpha in alpha
4.004 * [backup-simplify]: Simplify 0 into 0
4.004 * [backup-simplify]: Simplify 1 into 1
4.004 * [backup-simplify]: Simplify (/ 1 1) into 1
4.004 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0)) in alpha
4.004 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
4.004 * [taylor]: Taking taylor expansion of 2.0 in alpha
4.004 * [backup-simplify]: Simplify 2.0 into 2.0
4.004 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
4.004 * [taylor]: Taking taylor expansion of i in alpha
4.004 * [backup-simplify]: Simplify i into i
4.004 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
4.004 * [taylor]: Taking taylor expansion of (+ (/ 1 beta) 2.0) in alpha
4.004 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
4.004 * [taylor]: Taking taylor expansion of beta in alpha
4.004 * [backup-simplify]: Simplify beta into beta
4.004 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
4.004 * [taylor]: Taking taylor expansion of 2.0 in alpha
4.004 * [backup-simplify]: Simplify 2.0 into 2.0
4.004 * [taylor]: Taking taylor expansion of (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2)) in alpha
4.004 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in alpha
4.004 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
4.004 * [taylor]: Taking taylor expansion of alpha in alpha
4.004 * [backup-simplify]: Simplify 0 into 0
4.004 * [backup-simplify]: Simplify 1 into 1
4.004 * [backup-simplify]: Simplify (/ 1 1) into 1
4.004 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in alpha
4.004 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
4.004 * [taylor]: Taking taylor expansion of 2.0 in alpha
4.005 * [backup-simplify]: Simplify 2.0 into 2.0
4.005 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
4.005 * [taylor]: Taking taylor expansion of i in alpha
4.005 * [backup-simplify]: Simplify i into i
4.005 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
4.005 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
4.005 * [taylor]: Taking taylor expansion of beta in alpha
4.005 * [backup-simplify]: Simplify beta into beta
4.005 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
4.005 * [taylor]: Taking taylor expansion of (pow beta 2) in alpha
4.005 * [taylor]: Taking taylor expansion of beta in alpha
4.005 * [backup-simplify]: Simplify beta into beta
4.005 * [backup-simplify]: Simplify (+ 1 0) into 1
4.005 * [backup-simplify]: Simplify (+ 1 0) into 1
4.005 * [backup-simplify]: Simplify (* beta beta) into (pow beta 2)
4.005 * [backup-simplify]: Simplify (* 1 (pow beta 2)) into (pow beta 2)
4.005 * [backup-simplify]: Simplify (* 1 (pow beta 2)) into (pow beta 2)
4.006 * [backup-simplify]: Simplify (/ 1 (pow beta 2)) into (/ 1 (pow beta 2))
4.006 * [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
4.006 * [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
4.006 * [taylor]: Taking taylor expansion of (pow alpha 2) in alpha
4.006 * [taylor]: Taking taylor expansion of alpha in alpha
4.006 * [backup-simplify]: Simplify 0 into 0
4.006 * [backup-simplify]: Simplify 1 into 1
4.006 * [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
4.006 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in alpha
4.006 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
4.006 * [taylor]: Taking taylor expansion of alpha in alpha
4.006 * [backup-simplify]: Simplify 0 into 0
4.006 * [backup-simplify]: Simplify 1 into 1
4.006 * [backup-simplify]: Simplify (/ 1 1) into 1
4.006 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in alpha
4.006 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
4.006 * [taylor]: Taking taylor expansion of 2.0 in alpha
4.006 * [backup-simplify]: Simplify 2.0 into 2.0
4.006 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
4.006 * [taylor]: Taking taylor expansion of i in alpha
4.006 * [backup-simplify]: Simplify i into i
4.006 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
4.006 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
4.006 * [taylor]: Taking taylor expansion of beta in alpha
4.006 * [backup-simplify]: Simplify beta into beta
4.006 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
4.006 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) in alpha
4.006 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
4.006 * [taylor]: Taking taylor expansion of alpha in alpha
4.006 * [backup-simplify]: Simplify 0 into 0
4.006 * [backup-simplify]: Simplify 1 into 1
4.007 * [backup-simplify]: Simplify (/ 1 1) into 1
4.007 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0)) in alpha
4.007 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
4.007 * [taylor]: Taking taylor expansion of 2.0 in alpha
4.007 * [backup-simplify]: Simplify 2.0 into 2.0
4.007 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
4.007 * [taylor]: Taking taylor expansion of i in alpha
4.007 * [backup-simplify]: Simplify i into i
4.007 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
4.007 * [taylor]: Taking taylor expansion of (+ (/ 1 beta) 2.0) in alpha
4.007 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
4.007 * [taylor]: Taking taylor expansion of beta in alpha
4.007 * [backup-simplify]: Simplify beta into beta
4.007 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
4.007 * [taylor]: Taking taylor expansion of 2.0 in alpha
4.007 * [backup-simplify]: Simplify 2.0 into 2.0
4.007 * [backup-simplify]: Simplify (* 1 1) into 1
4.007 * [backup-simplify]: Simplify (+ 1 0) into 1
4.008 * [backup-simplify]: Simplify (+ 1 0) into 1
4.008 * [backup-simplify]: Simplify (* 1 1) into 1
4.008 * [backup-simplify]: Simplify (* 1 1) into 1
4.008 * [backup-simplify]: Simplify (/ 1 1) into 1
4.008 * [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
4.008 * [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
4.008 * [taylor]: Taking taylor expansion of 1.0 in alpha
4.009 * [backup-simplify]: Simplify 1.0 into 1.0
4.009 * [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
4.009 * [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
4.009 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) in alpha
4.009 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
4.009 * [taylor]: Taking taylor expansion of alpha in alpha
4.009 * [backup-simplify]: Simplify 0 into 0
4.009 * [backup-simplify]: Simplify 1 into 1
4.009 * [backup-simplify]: Simplify (/ 1 1) into 1
4.009 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0)) in alpha
4.009 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
4.009 * [taylor]: Taking taylor expansion of 2.0 in alpha
4.009 * [backup-simplify]: Simplify 2.0 into 2.0
4.009 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
4.009 * [taylor]: Taking taylor expansion of i in alpha
4.009 * [backup-simplify]: Simplify i into i
4.009 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
4.009 * [taylor]: Taking taylor expansion of (+ (/ 1 beta) 2.0) in alpha
4.009 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
4.009 * [taylor]: Taking taylor expansion of beta in alpha
4.009 * [backup-simplify]: Simplify beta into beta
4.009 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
4.009 * [taylor]: Taking taylor expansion of 2.0 in alpha
4.009 * [backup-simplify]: Simplify 2.0 into 2.0
4.009 * [taylor]: Taking taylor expansion of (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2)) in alpha
4.009 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in alpha
4.009 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
4.009 * [taylor]: Taking taylor expansion of alpha in alpha
4.009 * [backup-simplify]: Simplify 0 into 0
4.009 * [backup-simplify]: Simplify 1 into 1
4.009 * [backup-simplify]: Simplify (/ 1 1) into 1
4.010 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in alpha
4.010 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
4.010 * [taylor]: Taking taylor expansion of 2.0 in alpha
4.010 * [backup-simplify]: Simplify 2.0 into 2.0
4.010 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
4.010 * [taylor]: Taking taylor expansion of i in alpha
4.010 * [backup-simplify]: Simplify i into i
4.010 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
4.010 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
4.010 * [taylor]: Taking taylor expansion of beta in alpha
4.010 * [backup-simplify]: Simplify beta into beta
4.010 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
4.010 * [taylor]: Taking taylor expansion of (pow beta 2) in alpha
4.010 * [taylor]: Taking taylor expansion of beta in alpha
4.010 * [backup-simplify]: Simplify beta into beta
4.010 * [backup-simplify]: Simplify (+ 1 0) into 1
4.010 * [backup-simplify]: Simplify (+ 1 0) into 1
4.010 * [backup-simplify]: Simplify (* beta beta) into (pow beta 2)
4.010 * [backup-simplify]: Simplify (* 1 (pow beta 2)) into (pow beta 2)
4.011 * [backup-simplify]: Simplify (* 1 (pow beta 2)) into (pow beta 2)
4.011 * [backup-simplify]: Simplify (/ 1 (pow beta 2)) into (/ 1 (pow beta 2))
4.011 * [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
4.011 * [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
4.011 * [taylor]: Taking taylor expansion of (pow alpha 2) in alpha
4.011 * [taylor]: Taking taylor expansion of alpha in alpha
4.011 * [backup-simplify]: Simplify 0 into 0
4.011 * [backup-simplify]: Simplify 1 into 1
4.011 * [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
4.011 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in alpha
4.011 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
4.011 * [taylor]: Taking taylor expansion of alpha in alpha
4.011 * [backup-simplify]: Simplify 0 into 0
4.011 * [backup-simplify]: Simplify 1 into 1
4.011 * [backup-simplify]: Simplify (/ 1 1) into 1
4.011 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in alpha
4.011 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
4.011 * [taylor]: Taking taylor expansion of 2.0 in alpha
4.011 * [backup-simplify]: Simplify 2.0 into 2.0
4.011 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
4.011 * [taylor]: Taking taylor expansion of i in alpha
4.011 * [backup-simplify]: Simplify i into i
4.011 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
4.011 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
4.011 * [taylor]: Taking taylor expansion of beta in alpha
4.011 * [backup-simplify]: Simplify beta into beta
4.011 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
4.011 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) in alpha
4.011 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
4.011 * [taylor]: Taking taylor expansion of alpha in alpha
4.012 * [backup-simplify]: Simplify 0 into 0
4.012 * [backup-simplify]: Simplify 1 into 1
4.012 * [backup-simplify]: Simplify (/ 1 1) into 1
4.012 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0)) in alpha
4.012 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
4.012 * [taylor]: Taking taylor expansion of 2.0 in alpha
4.012 * [backup-simplify]: Simplify 2.0 into 2.0
4.012 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
4.012 * [taylor]: Taking taylor expansion of i in alpha
4.012 * [backup-simplify]: Simplify i into i
4.012 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
4.012 * [taylor]: Taking taylor expansion of (+ (/ 1 beta) 2.0) in alpha
4.012 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
4.012 * [taylor]: Taking taylor expansion of beta in alpha
4.012 * [backup-simplify]: Simplify beta into beta
4.012 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
4.012 * [taylor]: Taking taylor expansion of 2.0 in alpha
4.012 * [backup-simplify]: Simplify 2.0 into 2.0
4.012 * [backup-simplify]: Simplify (* 1 1) into 1
4.013 * [backup-simplify]: Simplify (+ 1 0) into 1
4.013 * [backup-simplify]: Simplify (+ 1 0) into 1
4.013 * [backup-simplify]: Simplify (* 1 1) into 1
4.013 * [backup-simplify]: Simplify (* 1 1) into 1
4.013 * [backup-simplify]: Simplify (/ 1 1) into 1
4.014 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0
4.014 * [backup-simplify]: Simplify (- 1) into -1
4.014 * [backup-simplify]: Simplify (+ 1.0 -1) into 0
4.014 * [taylor]: Taking taylor expansion of 0 in beta
4.014 * [backup-simplify]: Simplify 0 into 0
4.014 * [taylor]: Taking taylor expansion of 0 in i
4.014 * [backup-simplify]: Simplify 0 into 0
4.014 * [backup-simplify]: Simplify 0 into 0
4.015 * [backup-simplify]: Simplify (+ 0 0) into 0
4.015 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.015 * [backup-simplify]: Simplify (* 2.0 (/ 1 i)) into (/ 2.0 i)
4.015 * [backup-simplify]: Simplify (+ (/ 1 beta) 2.0) into (+ (/ 1 beta) 2.0)
4.015 * [backup-simplify]: Simplify (+ (/ 2.0 i) (+ (/ 1 beta) 2.0)) into (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))
4.016 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) into (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))
4.016 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.016 * [backup-simplify]: Simplify (* 2.0 (/ 1 i)) into (/ 2.0 i)
4.016 * [backup-simplify]: Simplify (+ (/ 2.0 i) (/ 1 beta)) into (+ (* 2.0 (/ 1 i)) (/ 1 beta))
4.016 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 (/ 1 i)) (/ 1 beta))) into (+ (* 2.0 (/ 1 i)) (/ 1 beta))
4.017 * [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))
4.017 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.018 * [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))
4.018 * [backup-simplify]: Simplify (- (+ (* 1 (/ (+ (* 4.0 (/ 1 i)) (+ (* 2 (/ 1 beta)) 2.0)) 1)))) into (- (+ (* 4.0 (/ 1 i)) (+ (* 2 (/ 1 beta)) 2.0)))
4.018 * [backup-simplify]: Simplify (- (- (+ (* 4.0 (/ 1 i)) (+ (* 2 (/ 1 beta)) 2.0)))) into (+ (* 4.0 (/ 1 i)) (+ (* 2 (/ 1 beta)) 2.0))
4.018 * [backup-simplify]: Simplify (+ 0 (+ (* 4.0 (/ 1 i)) (+ (* 2 (/ 1 beta)) 2.0))) into (+ (* 4.0 (/ 1 i)) (+ (* 2 (/ 1 beta)) 2.0))
4.018 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 i)) (+ (* 2 (/ 1 beta)) 2.0)) in beta
4.018 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 i)) in beta
4.018 * [taylor]: Taking taylor expansion of 4.0 in beta
4.018 * [backup-simplify]: Simplify 4.0 into 4.0
4.018 * [taylor]: Taking taylor expansion of (/ 1 i) in beta
4.018 * [taylor]: Taking taylor expansion of i in beta
4.018 * [backup-simplify]: Simplify i into i
4.018 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
4.018 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 beta)) 2.0) in beta
4.018 * [taylor]: Taking taylor expansion of (* 2 (/ 1 beta)) in beta
4.018 * [taylor]: Taking taylor expansion of 2 in beta
4.018 * [backup-simplify]: Simplify 2 into 2
4.018 * [taylor]: Taking taylor expansion of (/ 1 beta) 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
4.019 * [backup-simplify]: Simplify (/ 1 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 (* 4.0 (/ 1 i)) into (/ 4.0 i)
4.019 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.020 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0
4.020 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
4.020 * [backup-simplify]: Simplify (+ (/ 4.0 i) 2.0) into (+ (* 4.0 (/ 1 i)) 2.0)
4.020 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 i)) 2.0) in i
4.020 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 i)) in i
4.020 * [taylor]: Taking taylor expansion of 4.0 in i
4.020 * [backup-simplify]: Simplify 4.0 into 4.0
4.020 * [taylor]: Taking taylor expansion of (/ 1 i) in i
4.020 * [taylor]: Taking taylor expansion of i in i
4.020 * [backup-simplify]: Simplify 0 into 0
4.020 * [backup-simplify]: Simplify 1 into 1
4.020 * [backup-simplify]: Simplify (/ 1 1) into 1
4.020 * [taylor]: Taking taylor expansion of 2.0 in i
4.020 * [backup-simplify]: Simplify 2.0 into 2.0
4.021 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.021 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 1)) into 0
4.022 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
4.022 * [backup-simplify]: Simplify 2.0 into 2.0
4.022 * [taylor]: Taking taylor expansion of 0 in i
4.022 * [backup-simplify]: Simplify 0 into 0
4.022 * [backup-simplify]: Simplify 0 into 0
4.022 * [backup-simplify]: Simplify 0 into 0
4.022 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow beta 2))) into (/ 1 (pow beta 2))
4.022 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.022 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
4.023 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 (/ 1 i))) into 0
4.023 * [backup-simplify]: Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
4.023 * [backup-simplify]: Simplify (+ 0 0) into 0
4.023 * [backup-simplify]: Simplify (+ 0 0) into 0
4.024 * [backup-simplify]: Simplify (+ 0 0) into 0
4.024 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.024 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
4.024 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 (/ 1 i))) into 0
4.025 * [backup-simplify]: Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
4.025 * [backup-simplify]: Simplify (+ 0 0) into 0
4.025 * [backup-simplify]: Simplify (+ 0 0) into 0
4.026 * [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))))))
4.026 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.027 * [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))))))
4.029 * [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)))))
4.029 * [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))))))
4.030 * [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))))))
4.030 * [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
4.030 * [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
4.030 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow beta 2))) in beta
4.030 * [taylor]: Taking taylor expansion of 2 in beta
4.030 * [backup-simplify]: Simplify 2 into 2
4.030 * [taylor]: Taking taylor expansion of (/ 1 (pow beta 2)) in beta
4.030 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
4.030 * [taylor]: Taking taylor expansion of beta in beta
4.030 * [backup-simplify]: Simplify 0 into 0
4.030 * [backup-simplify]: Simplify 1 into 1
4.031 * [backup-simplify]: Simplify (* 1 1) into 1
4.031 * [backup-simplify]: Simplify (/ 1 1) into 1
4.031 * [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
4.031 * [taylor]: Taking taylor expansion of (* 12.0 (/ 1 (pow i 2))) in beta
4.031 * [taylor]: Taking taylor expansion of 12.0 in beta
4.031 * [backup-simplify]: Simplify 12.0 into 12.0
4.031 * [taylor]: Taking taylor expansion of (/ 1 (pow i 2)) in beta
4.031 * [taylor]: Taking taylor expansion of (pow i 2) in beta
4.031 * [taylor]: Taking taylor expansion of i in beta
4.031 * [backup-simplify]: Simplify i into i
4.031 * [backup-simplify]: Simplify (* i i) into (pow i 2)
4.031 * [backup-simplify]: Simplify (/ 1 (pow i 2)) into (/ 1 (pow i 2))
4.031 * [taylor]: Taking taylor expansion of (+ (* 6.0 (/ 1 beta)) (+ (* 12.0 (/ 1 i)) (+ (* 12.0 (/ 1 (* i beta))) 4.0))) in beta
4.031 * [taylor]: Taking taylor expansion of (* 6.0 (/ 1 beta)) in beta
4.031 * [taylor]: Taking taylor expansion of 6.0 in beta
4.031 * [backup-simplify]: Simplify 6.0 into 6.0
4.031 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
4.031 * [taylor]: Taking taylor expansion of beta in beta
4.031 * [backup-simplify]: Simplify 0 into 0
4.031 * [backup-simplify]: Simplify 1 into 1
4.032 * [backup-simplify]: Simplify (/ 1 1) into 1
4.032 * [taylor]: Taking taylor expansion of (+ (* 12.0 (/ 1 i)) (+ (* 12.0 (/ 1 (* i beta))) 4.0)) in beta
4.032 * [taylor]: Taking taylor expansion of (* 12.0 (/ 1 i)) in beta
4.032 * [taylor]: Taking taylor expansion of 12.0 in beta
4.032 * [backup-simplify]: Simplify 12.0 into 12.0
4.032 * [taylor]: Taking taylor expansion of (/ 1 i) in beta
4.032 * [taylor]: Taking taylor expansion of i in beta
4.032 * [backup-simplify]: Simplify i into i
4.032 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
4.032 * [taylor]: Taking taylor expansion of (+ (* 12.0 (/ 1 (* i beta))) 4.0) in beta
4.032 * [taylor]: Taking taylor expansion of (* 12.0 (/ 1 (* i beta))) in beta
4.032 * [taylor]: Taking taylor expansion of 12.0 in beta
4.032 * [backup-simplify]: Simplify 12.0 into 12.0
4.032 * [taylor]: Taking taylor expansion of (/ 1 (* i beta)) in beta
4.032 * [taylor]: Taking taylor expansion of (* i beta) in beta
4.032 * [taylor]: Taking taylor expansion of i in beta
4.032 * [backup-simplify]: Simplify i into i
4.032 * [taylor]: Taking taylor expansion of beta in beta
4.032 * [backup-simplify]: Simplify 0 into 0
4.032 * [backup-simplify]: Simplify 1 into 1
4.032 * [backup-simplify]: Simplify (* i 0) into 0
4.032 * [backup-simplify]: Simplify (+ (* i 1) (* 0 0)) into i
4.032 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
4.032 * [taylor]: Taking taylor expansion of 4.0 in beta
4.032 * [backup-simplify]: Simplify 4.0 into 4.0
4.033 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.033 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.034 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.034 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.035 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0
4.035 * [backup-simplify]: Simplify (* 12.0 (/ 1 (pow i 2))) into (/ 12.0 (pow i 2))
4.035 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.036 * [backup-simplify]: Simplify (+ (* 6.0 0) (* 0 1)) into 0
4.036 * [backup-simplify]: Simplify (* 12.0 (/ 1 i)) into (/ 12.0 i)
4.036 * [backup-simplify]: Simplify (+ (* i 0) (+ (* 0 1) (* 0 0))) into 0
4.036 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
4.037 * [backup-simplify]: Simplify (+ (* 12.0 0) (* 0 (/ 1 i))) into 0
4.037 * [backup-simplify]: Simplify (+ 0 4.0) into 4.0
4.037 * [backup-simplify]: Simplify (+ (/ 12.0 i) 4.0) into (+ (* 12.0 (/ 1 i)) 4.0)
4.037 * [backup-simplify]: Simplify (+ 0 (+ (* 12.0 (/ 1 i)) 4.0)) into (+ (* 12.0 (/ 1 i)) 4.0)
4.037 * [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))
4.038 * [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))
4.038 * [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)))
4.038 * [taylor]: Taking taylor expansion of (- (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 12.0 (/ 1 i)) 4.0))) in i
4.038 * [taylor]: Taking taylor expansion of (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 12.0 (/ 1 i)) 4.0)) in i
4.038 * [taylor]: Taking taylor expansion of (* 12.0 (/ 1 (pow i 2))) in i
4.038 * [taylor]: Taking taylor expansion of 12.0 in i
4.038 * [backup-simplify]: Simplify 12.0 into 12.0
4.038 * [taylor]: Taking taylor expansion of (/ 1 (pow i 2)) in i
4.038 * [taylor]: Taking taylor expansion of (pow i 2) in i
4.038 * [taylor]: Taking taylor expansion of i in i
4.038 * [backup-simplify]: Simplify 0 into 0
4.038 * [backup-simplify]: Simplify 1 into 1
4.038 * [backup-simplify]: Simplify (* 1 1) into 1
4.039 * [backup-simplify]: Simplify (/ 1 1) into 1
4.039 * [taylor]: Taking taylor expansion of (+ (* 12.0 (/ 1 i)) 4.0) in i
4.039 * [taylor]: Taking taylor expansion of (* 12.0 (/ 1 i)) in i
4.039 * [taylor]: Taking taylor expansion of 12.0 in i
4.039 * [backup-simplify]: Simplify 12.0 into 12.0
4.039 * [taylor]: Taking taylor expansion of (/ 1 i) in i
4.039 * [taylor]: Taking taylor expansion of i in i
4.039 * [backup-simplify]: Simplify 0 into 0
4.039 * [backup-simplify]: Simplify 1 into 1
4.039 * [backup-simplify]: Simplify (/ 1 1) into 1
4.039 * [taylor]: Taking taylor expansion of 4.0 in i
4.039 * [backup-simplify]: Simplify 4.0 into 4.0
4.040 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.040 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.040 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.041 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.041 * [backup-simplify]: Simplify (+ (* 12.0 0) (+ (* 0 0) (* 0 1))) into 0
4.042 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.042 * [backup-simplify]: Simplify (+ (* 12.0 0) (* 0 1)) into 0
4.043 * [backup-simplify]: Simplify (+ 0 4.0) into 4.0
4.043 * [backup-simplify]: Simplify (+ 0 4.0) into 4.0
4.043 * [backup-simplify]: Simplify (- 4.0) into (- 4.0)
4.043 * [backup-simplify]: Simplify (- 4.0) into (- 4.0)
4.043 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
4.044 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 i))) into 0
4.044 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.045 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0
4.045 * [backup-simplify]: Simplify (+ 0 0) into 0
4.045 * [backup-simplify]: Simplify (+ 0 0) into 0
4.045 * [taylor]: Taking taylor expansion of 0 in i
4.045 * [backup-simplify]: Simplify 0 into 0
4.045 * [backup-simplify]: Simplify 0 into 0
4.045 * [taylor]: Taking taylor expansion of 0 in i
4.045 * [backup-simplify]: Simplify 0 into 0
4.045 * [backup-simplify]: Simplify 0 into 0
4.046 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.046 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 1))) into 0
4.047 * [backup-simplify]: Simplify (+ 0 0) into 0
4.047 * [backup-simplify]: Simplify 0 into 0
4.047 * [backup-simplify]: Simplify 0 into 0
4.047 * [backup-simplify]: Simplify 0 into 0
4.047 * [backup-simplify]: Simplify (+ (* beta 0) (* 0 beta)) into 0
4.047 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.047 * [backup-simplify]: Simplify (* 2.0 (/ 1 i)) into (/ 2.0 i)
4.047 * [backup-simplify]: Simplify (+ (/ 2.0 i) (/ 1 beta)) into (+ (* 2.0 (/ 1 i)) (/ 1 beta))
4.048 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 (/ 1 i)) (/ 1 beta))) into (+ (* 2.0 (/ 1 i)) (/ 1 beta))
4.048 * [backup-simplify]: Simplify (+ (* 1 0) (* (+ (* 2.0 (/ 1 i)) (/ 1 beta)) (pow beta 2))) into (+ (* 2.0 (/ (pow beta 2) i)) beta)
4.049 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.049 * [backup-simplify]: Simplify (* 2.0 (/ 1 i)) into (/ 2.0 i)
4.049 * [backup-simplify]: Simplify (+ (/ 1 beta) 2.0) into (+ (/ 1 beta) 2.0)
4.049 * [backup-simplify]: Simplify (+ (/ 2.0 i) (+ (/ 1 beta) 2.0)) into (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))
4.049 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) into (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))
4.049 * [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)))
4.050 * [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))))))
4.051 * [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))))))
4.051 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.051 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)) (* 0 (/ 0 i)))) into 0
4.052 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 (/ 1 i)))) into 0
4.052 * [backup-simplify]: Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
4.052 * [backup-simplify]: Simplify (+ 0 0) into 0
4.052 * [backup-simplify]: Simplify (+ 0 0) into 0
4.053 * [backup-simplify]: Simplify (+ 0 0) into 0
4.053 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.053 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)) (* 0 (/ 0 i)))) into 0
4.054 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 (/ 1 i)))) into 0
4.054 * [backup-simplify]: Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
4.054 * [backup-simplify]: Simplify (+ 0 0) into 0
4.054 * [backup-simplify]: Simplify (+ 0 0) into 0
4.055 * [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
4.056 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.057 * [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
4.059 * [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)))))))))))))
4.062 * [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)))))))))
4.064 * [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))))))))))))
4.064 * [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
4.064 * [taylor]: Taking taylor expansion of (* 20.0 (/ 1 (* i (pow beta 2)))) in beta
4.064 * [taylor]: Taking taylor expansion of 20.0 in beta
4.064 * [backup-simplify]: Simplify 20.0 into 20.0
4.064 * [taylor]: Taking taylor expansion of (/ 1 (* i (pow beta 2))) in beta
4.064 * [taylor]: Taking taylor expansion of (* i (pow beta 2)) in beta
4.064 * [taylor]: Taking taylor expansion of i in beta
4.064 * [backup-simplify]: Simplify i into i
4.064 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
4.064 * [taylor]: Taking taylor expansion of beta in beta
4.064 * [backup-simplify]: Simplify 0 into 0
4.064 * [backup-simplify]: Simplify 1 into 1
4.065 * [backup-simplify]: Simplify (* 1 1) into 1
4.065 * [backup-simplify]: Simplify (* i 1) into i
4.065 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
4.065 * [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
4.065 * [taylor]: Taking taylor expansion of (* 48.0 (/ 1 (pow i 2))) in beta
4.065 * [taylor]: Taking taylor expansion of 48.0 in beta
4.065 * [backup-simplify]: Simplify 48.0 into 48.0
4.065 * [taylor]: Taking taylor expansion of (/ 1 (pow i 2)) in beta
4.065 * [taylor]: Taking taylor expansion of (pow i 2) in beta
4.065 * [taylor]: Taking taylor expansion of i in beta
4.065 * [backup-simplify]: Simplify i into i
4.065 * [backup-simplify]: Simplify (* i i) into (pow i 2)
4.065 * [backup-simplify]: Simplify (/ 1 (pow i 2)) into (/ 1 (pow i 2))
4.065 * [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
4.065 * [taylor]: Taking taylor expansion of 8.0 in beta
4.065 * [backup-simplify]: Simplify 8.0 into 8.0
4.065 * [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
4.065 * [taylor]: Taking taylor expansion of (* 10.0 (/ 1 (pow beta 2))) in beta
4.065 * [taylor]: Taking taylor expansion of 10.0 in beta
4.065 * [backup-simplify]: Simplify 10.0 into 10.0
4.065 * [taylor]: Taking taylor expansion of (/ 1 (pow beta 2)) in beta
4.065 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
4.065 * [taylor]: Taking taylor expansion of beta in beta
4.065 * [backup-simplify]: Simplify 0 into 0
4.065 * [backup-simplify]: Simplify 1 into 1
4.065 * [backup-simplify]: Simplify (* 1 1) into 1
4.066 * [backup-simplify]: Simplify (/ 1 1) into 1
4.066 * [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
4.066 * [taylor]: Taking taylor expansion of (* 48.0 (/ 1 (* i beta))) in beta
4.066 * [taylor]: Taking taylor expansion of 48.0 in beta
4.066 * [backup-simplify]: Simplify 48.0 into 48.0
4.066 * [taylor]: Taking taylor expansion of (/ 1 (* i beta)) in beta
4.066 * [taylor]: Taking taylor expansion of (* i beta) in beta
4.066 * [taylor]: Taking taylor expansion of i in beta
4.066 * [backup-simplify]: Simplify i into i
4.066 * [taylor]: Taking taylor expansion of beta in beta
4.066 * [backup-simplify]: Simplify 0 into 0
4.066 * [backup-simplify]: Simplify 1 into 1
4.066 * [backup-simplify]: Simplify (* i 0) into 0
4.066 * [backup-simplify]: Simplify (+ (* i 1) (* 0 0)) into i
4.066 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
4.066 * [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
4.066 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow beta 3))) in beta
4.066 * [taylor]: Taking taylor expansion of 2 in beta
4.066 * [backup-simplify]: Simplify 2 into 2
4.066 * [taylor]: Taking taylor expansion of (/ 1 (pow beta 3)) in beta
4.066 * [taylor]: Taking taylor expansion of (pow beta 3) in beta
4.066 * [taylor]: Taking taylor expansion of beta in beta
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 * [backup-simplify]: Simplify (* 1 1) into 1
4.067 * [backup-simplify]: Simplify (/ 1 1) into 1
4.067 * [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
4.067 * [taylor]: Taking taylor expansion of (* 48.0 (/ 1 (* (pow i 2) beta))) in beta
4.067 * [taylor]: Taking taylor expansion of 48.0 in beta
4.067 * [backup-simplify]: Simplify 48.0 into 48.0
4.067 * [taylor]: Taking taylor expansion of (/ 1 (* (pow i 2) beta)) in beta
4.067 * [taylor]: Taking taylor expansion of (* (pow i 2) beta) in beta
4.067 * [taylor]: Taking taylor expansion of (pow i 2) in beta
4.067 * [taylor]: Taking taylor expansion of i in beta
4.067 * [backup-simplify]: Simplify i into i
4.067 * [taylor]: Taking taylor expansion of beta in beta
4.067 * [backup-simplify]: Simplify 0 into 0
4.067 * [backup-simplify]: Simplify 1 into 1
4.067 * [backup-simplify]: Simplify (* i i) into (pow i 2)
4.068 * [backup-simplify]: Simplify (* (pow i 2) 0) into 0
4.068 * [backup-simplify]: Simplify (+ (* i 0) (* 0 i)) into 0
4.068 * [backup-simplify]: Simplify (+ (* (pow i 2) 1) (* 0 0)) into (pow i 2)
4.068 * [backup-simplify]: Simplify (/ 1 (pow i 2)) into (/ 1 (pow i 2))
4.068 * [taylor]: Taking taylor expansion of (+ (* 32.0 (/ 1 i)) (+ (* 16.0 (/ 1 beta)) (* 32.0 (/ 1 (pow i 3))))) in beta
4.068 * [taylor]: Taking taylor expansion of (* 32.0 (/ 1 i)) in beta
4.068 * [taylor]: Taking taylor expansion of 32.0 in beta
4.068 * [backup-simplify]: Simplify 32.0 into 32.0
4.068 * [taylor]: Taking taylor expansion of (/ 1 i) in beta
4.068 * [taylor]: Taking taylor expansion of i in beta
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 (+ (* 16.0 (/ 1 beta)) (* 32.0 (/ 1 (pow i 3)))) in beta
4.068 * [taylor]: Taking taylor expansion of (* 16.0 (/ 1 beta)) in beta
4.068 * [taylor]: Taking taylor expansion of 16.0 in beta
4.068 * [backup-simplify]: Simplify 16.0 into 16.0
4.068 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
4.068 * [taylor]: Taking taylor expansion of beta in beta
4.068 * [backup-simplify]: Simplify 0 into 0
4.068 * [backup-simplify]: Simplify 1 into 1
4.069 * [backup-simplify]: Simplify (/ 1 1) into 1
4.069 * [taylor]: Taking taylor expansion of (* 32.0 (/ 1 (pow i 3))) in beta
4.069 * [taylor]: Taking taylor expansion of 32.0 in beta
4.069 * [backup-simplify]: Simplify 32.0 into 32.0
4.069 * [taylor]: Taking taylor expansion of (/ 1 (pow i 3)) in beta
4.069 * [taylor]: Taking taylor expansion of (pow i 3) in beta
4.069 * [taylor]: Taking taylor expansion of i in beta
4.069 * [backup-simplify]: Simplify i into i
4.069 * [backup-simplify]: Simplify (* i i) into (pow i 2)
4.069 * [backup-simplify]: Simplify (* i (pow i 2)) into (pow i 3)
4.069 * [backup-simplify]: Simplify (/ 1 (pow i 3)) into (/ 1 (pow i 3))
4.070 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.070 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.070 * [backup-simplify]: Simplify (+ (* i 0) (+ (* 0 0) (* 0 1))) into 0
4.071 * [backup-simplify]: Simplify (+ (* i 0) (* 0 1)) into 0
4.071 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
4.071 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)) (* 0 (/ 0 i)))) into 0
4.071 * [backup-simplify]: Simplify (+ (* 20.0 0) (+ (* 0 0) (* 0 (/ 1 i)))) into 0
4.071 * [backup-simplify]: Simplify (* 48.0 (/ 1 (pow i 2))) into (/ 48.0 (pow i 2))
4.072 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.075 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.076 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.076 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.077 * [backup-simplify]: Simplify (+ (* 10.0 0) (+ (* 0 0) (* 0 1))) into 0
4.077 * [backup-simplify]: Simplify (+ (* i 0) (+ (* 0 1) (* 0 0))) into 0
4.077 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
4.078 * [backup-simplify]: Simplify (+ (* 48.0 0) (* 0 (/ 1 i))) into 0
4.078 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.079 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.079 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.080 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.080 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.080 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.081 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 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 (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.083 * [backup-simplify]: Simplify (+ (* i 0) (+ (* 0 0) (* 0 i))) into 0
4.083 * [backup-simplify]: Simplify (+ (* (pow i 2) 0) (+ (* 0 1) (* 0 0))) into 0
4.084 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow i 2)) (/ 0 (pow i 2))))) into 0
4.084 * [backup-simplify]: Simplify (+ (* 48.0 0) (* 0 (/ 1 (pow i 2)))) into 0
4.084 * [backup-simplify]: Simplify (* 32.0 (/ 1 i)) into (/ 32.0 i)
4.084 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.085 * [backup-simplify]: Simplify (+ (* 16.0 0) (* 0 1)) into 0
4.085 * [backup-simplify]: Simplify (* 32.0 (/ 1 (pow i 3))) into (/ 32.0 (pow i 3))
4.085 * [backup-simplify]: Simplify (+ 0 (/ 32.0 (pow i 3))) into (* 32.0 (/ 1 (pow i 3)))
4.085 * [backup-simplify]: Simplify (+ (/ 32.0 i) (* 32.0 (/ 1 (pow i 3)))) into (+ (* 32.0 (/ 1 i)) (* 32.0 (/ 1 (pow i 3))))
4.085 * [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)))
4.086 * [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)))
4.086 * [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)))
4.086 * [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)))
4.086 * [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))
4.087 * [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)))
4.087 * [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)))
4.087 * [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
4.087 * [taylor]: Taking taylor expansion of (* 48.0 (/ 1 (pow i 2))) in i
4.087 * [taylor]: Taking taylor expansion of 48.0 in i
4.087 * [backup-simplify]: Simplify 48.0 into 48.0
4.087 * [taylor]: Taking taylor expansion of (/ 1 (pow i 2)) in i
4.087 * [taylor]: Taking taylor expansion of (pow i 2) in i
4.087 * [taylor]: Taking taylor expansion of i in i
4.087 * [backup-simplify]: Simplify 0 into 0
4.087 * [backup-simplify]: Simplify 1 into 1
4.088 * [backup-simplify]: Simplify (* 1 1) into 1
4.088 * [backup-simplify]: Simplify (/ 1 1) into 1
4.088 * [taylor]: Taking taylor expansion of (+ (* 32.0 (/ 1 (pow i 3))) (+ (* 32.0 (/ 1 i)) 8.0)) in i
4.088 * [taylor]: Taking taylor expansion of (* 32.0 (/ 1 (pow i 3))) in i
4.088 * [taylor]: Taking taylor expansion of 32.0 in i
4.088 * [backup-simplify]: Simplify 32.0 into 32.0
4.088 * [taylor]: Taking taylor expansion of (/ 1 (pow i 3)) in i
4.088 * [taylor]: Taking taylor expansion of (pow i 3) in i
4.088 * [taylor]: Taking taylor expansion of i in i
4.088 * [backup-simplify]: Simplify 0 into 0
4.088 * [backup-simplify]: Simplify 1 into 1
4.088 * [backup-simplify]: Simplify (* 1 1) into 1
4.088 * [backup-simplify]: Simplify (* 1 1) into 1
4.089 * [backup-simplify]: Simplify (/ 1 1) into 1
4.089 * [taylor]: Taking taylor expansion of (+ (* 32.0 (/ 1 i)) 8.0) in i
4.089 * [taylor]: Taking taylor expansion of (* 32.0 (/ 1 i)) in i
4.089 * [taylor]: Taking taylor expansion of 32.0 in i
4.089 * [backup-simplify]: Simplify 32.0 into 32.0
4.089 * [taylor]: Taking taylor expansion of (/ 1 i) in i
4.089 * [taylor]: Taking taylor expansion of i in i
4.089 * [backup-simplify]: Simplify 0 into 0
4.089 * [backup-simplify]: Simplify 1 into 1
4.089 * [backup-simplify]: Simplify (/ 1 1) into 1
4.089 * [taylor]: Taking taylor expansion of 8.0 in i
4.089 * [backup-simplify]: Simplify 8.0 into 8.0
4.090 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.090 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.090 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.091 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.091 * [backup-simplify]: Simplify (+ (* 48.0 0) (+ (* 0 0) (* 0 1))) into 0
4.092 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.093 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.093 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.094 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.095 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.096 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.096 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.097 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.098 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.099 * [backup-simplify]: Simplify (+ (* 32.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.099 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.100 * [backup-simplify]: Simplify (+ (* 32.0 0) (* 0 1)) into 0
4.100 * [backup-simplify]: Simplify (+ 0 8.0) into 8.0
4.101 * [backup-simplify]: Simplify (+ 0 8.0) into 8.0
4.101 * [backup-simplify]: Simplify (+ 0 8.0) into 8.0
4.101 * [backup-simplify]: Simplify 8.0 into 8.0
4.102 * [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))))
4.104 * [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)))))
4.104 * [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
4.104 * [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
4.104 * [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
4.104 * [taylor]: Taking taylor expansion of 1.0 in i
4.104 * [backup-simplify]: Simplify 1.0 into 1.0
4.104 * [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
4.104 * [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
4.104 * [taylor]: Taking taylor expansion of (pow alpha 2) in i
4.104 * [taylor]: Taking taylor expansion of alpha in i
4.104 * [backup-simplify]: Simplify alpha into alpha
4.104 * [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
4.104 * [taylor]: Taking taylor expansion of (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) in i
4.104 * [taylor]: Taking taylor expansion of 2.0 in i
4.104 * [backup-simplify]: Simplify 2.0 into 2.0
4.104 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in i
4.104 * [taylor]: Taking taylor expansion of (/ 1 alpha) in i
4.104 * [taylor]: Taking taylor expansion of alpha in i
4.104 * [backup-simplify]: Simplify alpha into alpha
4.104 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
4.104 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in i
4.104 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in i
4.104 * [taylor]: Taking taylor expansion of 2.0 in i
4.105 * [backup-simplify]: Simplify 2.0 into 2.0
4.105 * [taylor]: Taking taylor expansion of (/ 1 i) in i
4.105 * [taylor]: Taking taylor expansion of i in i
4.105 * [backup-simplify]: Simplify 0 into 0
4.105 * [backup-simplify]: Simplify 1 into 1
4.105 * [backup-simplify]: Simplify (/ 1 1) into 1
4.105 * [taylor]: Taking taylor expansion of (/ 1 beta) in i
4.105 * [taylor]: Taking taylor expansion of beta in i
4.105 * [backup-simplify]: Simplify beta into beta
4.105 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
4.105 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in i
4.105 * [taylor]: Taking taylor expansion of (/ 1 alpha) in i
4.105 * [taylor]: Taking taylor expansion of alpha in i
4.105 * [backup-simplify]: Simplify alpha into alpha
4.105 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
4.105 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in i
4.105 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in i
4.105 * [taylor]: Taking taylor expansion of 2.0 in i
4.105 * [backup-simplify]: Simplify 2.0 into 2.0
4.105 * [taylor]: Taking taylor expansion of (/ 1 i) in i
4.105 * [taylor]: Taking taylor expansion of i in i
4.105 * [backup-simplify]: Simplify 0 into 0
4.106 * [backup-simplify]: Simplify 1 into 1
4.106 * [backup-simplify]: Simplify (/ 1 1) into 1
4.106 * [taylor]: Taking taylor expansion of (/ 1 beta) in i
4.106 * [taylor]: Taking taylor expansion of beta in i
4.106 * [backup-simplify]: Simplify beta into beta
4.106 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
4.106 * [backup-simplify]: Simplify (* alpha alpha) into (pow alpha 2)
4.107 * [backup-simplify]: Simplify (* 2.0 1) into 2.0
4.107 * [backup-simplify]: Simplify (+ 2.0 0) into 2.0
4.107 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
4.108 * [backup-simplify]: Simplify (- 2.0) into (- 2.0)
4.108 * [backup-simplify]: Simplify (+ 0 (- 2.0)) into (- 2.0)
4.109 * [backup-simplify]: Simplify (* 2.0 1) into 2.0
4.109 * [backup-simplify]: Simplify (+ 2.0 0) into 2.0
4.110 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
4.110 * [backup-simplify]: Simplify (* (- 2.0) 2.0) into -4.0
4.111 * [backup-simplify]: Simplify (* (pow alpha 2) -4.0) into (* -4.0 (pow alpha 2))
4.111 * [backup-simplify]: Simplify (/ 1 (* -4.0 (pow alpha 2))) into (/ -0.25 (pow alpha 2))
4.111 * [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
4.111 * [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
4.111 * [taylor]: Taking taylor expansion of (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) in i
4.111 * [taylor]: Taking taylor expansion of 2.0 in i
4.111 * [backup-simplify]: Simplify 2.0 into 2.0
4.111 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in i
4.111 * [taylor]: Taking taylor expansion of (/ 1 alpha) in i
4.111 * [taylor]: Taking taylor expansion of alpha in i
4.111 * [backup-simplify]: Simplify alpha into alpha
4.111 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
4.111 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in i
4.111 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in i
4.111 * [taylor]: Taking taylor expansion of 2.0 in i
4.111 * [backup-simplify]: Simplify 2.0 into 2.0
4.111 * [taylor]: Taking taylor expansion of (/ 1 i) in i
4.111 * [taylor]: Taking taylor expansion of i in i
4.111 * [backup-simplify]: Simplify 0 into 0
4.111 * [backup-simplify]: Simplify 1 into 1
4.112 * [backup-simplify]: Simplify (/ 1 1) into 1
4.112 * [taylor]: Taking taylor expansion of (/ 1 beta) in i
4.112 * [taylor]: Taking taylor expansion of beta in i
4.112 * [backup-simplify]: Simplify beta into beta
4.112 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
4.112 * [taylor]: Taking taylor expansion of (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2)) in i
4.112 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in i
4.112 * [taylor]: Taking taylor expansion of (/ 1 alpha) in i
4.112 * [taylor]: Taking taylor expansion of alpha in i
4.112 * [backup-simplify]: Simplify alpha into alpha
4.112 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
4.112 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in i
4.112 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in i
4.112 * [taylor]: Taking taylor expansion of 2.0 in i
4.112 * [backup-simplify]: Simplify 2.0 into 2.0
4.112 * [taylor]: Taking taylor expansion of (/ 1 i) in i
4.112 * [taylor]: Taking taylor expansion of i in i
4.112 * [backup-simplify]: Simplify 0 into 0
4.112 * [backup-simplify]: Simplify 1 into 1
4.113 * [backup-simplify]: Simplify (/ 1 1) into 1
4.113 * [taylor]: Taking taylor expansion of (/ 1 beta) in i
4.113 * [taylor]: Taking taylor expansion of beta in i
4.113 * [backup-simplify]: Simplify beta into beta
4.113 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
4.113 * [taylor]: Taking taylor expansion of (pow beta 2) in i
4.113 * [taylor]: Taking taylor expansion of beta in i
4.113 * [backup-simplify]: Simplify beta into beta
4.113 * [backup-simplify]: Simplify (* 2.0 1) into 2.0
4.114 * [backup-simplify]: Simplify (+ 2.0 0) into 2.0
4.114 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
4.114 * [backup-simplify]: Simplify (- 2.0) into (- 2.0)
4.115 * [backup-simplify]: Simplify (+ 0 (- 2.0)) into (- 2.0)
4.115 * [backup-simplify]: Simplify (* 2.0 1) into 2.0
4.116 * [backup-simplify]: Simplify (+ 2.0 0) into 2.0
4.117 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
4.117 * [backup-simplify]: Simplify (* beta beta) into (pow beta 2)
4.117 * [backup-simplify]: Simplify (* 2.0 (pow beta 2)) into (* 2.0 (pow beta 2))
4.117 * [backup-simplify]: Simplify (* (- 2.0) (* 2.0 (pow beta 2))) into (* -4.0 (pow beta 2))
4.117 * [backup-simplify]: Simplify (/ 1 (* -4.0 (pow beta 2))) into (/ -0.25 (pow beta 2))
4.117 * [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
4.117 * [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
4.118 * [taylor]: Taking taylor expansion of 1.0 in beta
4.118 * [backup-simplify]: Simplify 1.0 into 1.0
4.118 * [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
4.118 * [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
4.118 * [taylor]: Taking taylor expansion of (pow alpha 2) in beta
4.118 * [taylor]: Taking taylor expansion of alpha in beta
4.118 * [backup-simplify]: Simplify alpha into alpha
4.118 * [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
4.118 * [taylor]: Taking taylor expansion of (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) in beta
4.118 * [taylor]: Taking taylor expansion of 2.0 in beta
4.118 * [backup-simplify]: Simplify 2.0 into 2.0
4.118 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in beta
4.118 * [taylor]: Taking taylor expansion of (/ 1 alpha) in beta
4.118 * [taylor]: Taking taylor expansion of alpha in beta
4.118 * [backup-simplify]: Simplify alpha into alpha
4.118 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
4.118 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in beta
4.118 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in beta
4.118 * [taylor]: Taking taylor expansion of 2.0 in beta
4.118 * [backup-simplify]: Simplify 2.0 into 2.0
4.118 * [taylor]: Taking taylor expansion of (/ 1 i) in beta
4.118 * [taylor]: Taking taylor expansion of i in beta
4.118 * [backup-simplify]: Simplify i into i
4.118 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
4.118 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
4.118 * [taylor]: Taking taylor expansion of beta in beta
4.118 * [backup-simplify]: Simplify 0 into 0
4.118 * [backup-simplify]: Simplify 1 into 1
4.119 * [backup-simplify]: Simplify (/ 1 1) into 1
4.119 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in beta
4.119 * [taylor]: Taking taylor expansion of (/ 1 alpha) in beta
4.119 * [taylor]: Taking taylor expansion of alpha in beta
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 (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in beta
4.119 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in beta
4.119 * [taylor]: Taking taylor expansion of 2.0 in beta
4.119 * [backup-simplify]: Simplify 2.0 into 2.0
4.119 * [taylor]: Taking taylor expansion of (/ 1 i) in beta
4.119 * [taylor]: Taking taylor expansion of i in beta
4.119 * [backup-simplify]: Simplify i into i
4.119 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
4.119 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
4.119 * [taylor]: Taking taylor expansion of beta in beta
4.119 * [backup-simplify]: Simplify 0 into 0
4.119 * [backup-simplify]: Simplify 1 into 1
4.120 * [backup-simplify]: Simplify (/ 1 1) into 1
4.120 * [backup-simplify]: Simplify (* alpha alpha) into (pow alpha 2)
4.121 * [backup-simplify]: Simplify (+ 0 1) into 1
4.122 * [backup-simplify]: Simplify (+ 0 1) into 1
4.122 * [backup-simplify]: Simplify (- 1) into -1
4.122 * [backup-simplify]: Simplify (+ 0 -1) into -1
4.123 * [backup-simplify]: Simplify (+ 0 1) into 1
4.123 * [backup-simplify]: Simplify (+ 0 1) into 1
4.123 * [backup-simplify]: Simplify (* -1 1) into -1
4.124 * [backup-simplify]: Simplify (* (pow alpha 2) -1) into (* -1 (pow alpha 2))
4.124 * [backup-simplify]: Simplify (/ 1 (* -1 (pow alpha 2))) into (/ -1 (pow alpha 2))
4.124 * [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
4.124 * [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
4.124 * [taylor]: Taking taylor expansion of (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) in beta
4.124 * [taylor]: Taking taylor expansion of 2.0 in beta
4.124 * [backup-simplify]: Simplify 2.0 into 2.0
4.124 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in beta
4.124 * [taylor]: Taking taylor expansion of (/ 1 alpha) in beta
4.124 * [taylor]: Taking taylor expansion of alpha in beta
4.124 * [backup-simplify]: Simplify alpha into alpha
4.124 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
4.124 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in beta
4.124 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in beta
4.124 * [taylor]: Taking taylor expansion of 2.0 in beta
4.124 * [backup-simplify]: Simplify 2.0 into 2.0
4.124 * [taylor]: Taking taylor expansion of (/ 1 i) in beta
4.124 * [taylor]: Taking taylor expansion of i in beta
4.124 * [backup-simplify]: Simplify i into i
4.124 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
4.124 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
4.124 * [taylor]: Taking taylor expansion of beta in beta
4.124 * [backup-simplify]: Simplify 0 into 0
4.124 * [backup-simplify]: Simplify 1 into 1
4.125 * [backup-simplify]: Simplify (/ 1 1) into 1
4.125 * [taylor]: Taking taylor expansion of (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2)) in beta
4.125 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in beta
4.125 * [taylor]: Taking taylor expansion of (/ 1 alpha) in beta
4.125 * [taylor]: Taking taylor expansion of alpha in beta
4.125 * [backup-simplify]: Simplify alpha into alpha
4.125 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
4.125 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in beta
4.125 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in beta
4.125 * [taylor]: Taking taylor expansion of 2.0 in beta
4.125 * [backup-simplify]: Simplify 2.0 into 2.0
4.125 * [taylor]: Taking taylor expansion of (/ 1 i) in beta
4.125 * [taylor]: Taking taylor expansion of i in beta
4.125 * [backup-simplify]: Simplify i into i
4.125 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
4.125 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
4.125 * [taylor]: Taking taylor expansion of beta in beta
4.125 * [backup-simplify]: Simplify 0 into 0
4.125 * [backup-simplify]: Simplify 1 into 1
4.126 * [backup-simplify]: Simplify (/ 1 1) into 1
4.126 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
4.126 * [taylor]: Taking taylor expansion of beta in beta
4.126 * [backup-simplify]: Simplify 0 into 0
4.126 * [backup-simplify]: Simplify 1 into 1
4.126 * [backup-simplify]: Simplify (+ 0 1) into 1
4.127 * [backup-simplify]: Simplify (+ 0 1) into 1
4.127 * [backup-simplify]: Simplify (- 1) into -1
4.127 * [backup-simplify]: Simplify (+ 0 -1) into -1
4.128 * [backup-simplify]: Simplify (+ 0 1) into 1
4.128 * [backup-simplify]: Simplify (+ 0 1) into 1
4.128 * [backup-simplify]: Simplify (* 1 1) into 1
4.129 * [backup-simplify]: Simplify (* 1 1) into 1
4.129 * [backup-simplify]: Simplify (* -1 1) into -1
4.129 * [backup-simplify]: Simplify (/ 1 -1) into -1
4.130 * [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
4.130 * [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
4.130 * [taylor]: Taking taylor expansion of 1.0 in alpha
4.130 * [backup-simplify]: Simplify 1.0 into 1.0
4.130 * [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
4.130 * [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
4.130 * [taylor]: Taking taylor expansion of (pow alpha 2) in alpha
4.130 * [taylor]: Taking taylor expansion of alpha in alpha
4.130 * [backup-simplify]: Simplify 0 into 0
4.130 * [backup-simplify]: Simplify 1 into 1
4.130 * [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
4.130 * [taylor]: Taking taylor expansion of (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) in alpha
4.130 * [taylor]: Taking taylor expansion of 2.0 in alpha
4.130 * [backup-simplify]: Simplify 2.0 into 2.0
4.130 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in alpha
4.130 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
4.130 * [taylor]: Taking taylor expansion of alpha in alpha
4.130 * [backup-simplify]: Simplify 0 into 0
4.130 * [backup-simplify]: Simplify 1 into 1
4.130 * [backup-simplify]: Simplify (/ 1 1) into 1
4.130 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in alpha
4.131 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
4.131 * [taylor]: Taking taylor expansion of 2.0 in alpha
4.131 * [backup-simplify]: Simplify 2.0 into 2.0
4.131 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
4.131 * [taylor]: Taking taylor expansion of i in alpha
4.131 * [backup-simplify]: Simplify i into i
4.131 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
4.131 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
4.131 * [taylor]: Taking taylor expansion of beta in alpha
4.131 * [backup-simplify]: Simplify beta into beta
4.131 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
4.131 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in alpha
4.131 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
4.131 * [taylor]: Taking taylor expansion of alpha in alpha
4.131 * [backup-simplify]: Simplify 0 into 0
4.131 * [backup-simplify]: Simplify 1 into 1
4.131 * [backup-simplify]: Simplify (/ 1 1) into 1
4.131 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in alpha
4.131 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
4.131 * [taylor]: Taking taylor expansion of 2.0 in alpha
4.131 * [backup-simplify]: Simplify 2.0 into 2.0
4.132 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
4.132 * [taylor]: Taking taylor expansion of i in alpha
4.132 * [backup-simplify]: Simplify i into i
4.132 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
4.132 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
4.132 * [taylor]: Taking taylor expansion of beta in alpha
4.132 * [backup-simplify]: Simplify beta into beta
4.132 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
4.132 * [backup-simplify]: Simplify (* 1 1) into 1
4.132 * [backup-simplify]: Simplify (+ 1 0) into 1
4.133 * [backup-simplify]: Simplify (- 1) into -1
4.133 * [backup-simplify]: Simplify (+ 0 -1) into -1
4.134 * [backup-simplify]: Simplify (+ 1 0) into 1
4.134 * [backup-simplify]: Simplify (* -1 1) into -1
4.134 * [backup-simplify]: Simplify (* 1 -1) into -1
4.135 * [backup-simplify]: Simplify (/ 1 -1) into -1
4.135 * [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
4.135 * [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
4.135 * [taylor]: Taking taylor expansion of (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) in alpha
4.135 * [taylor]: Taking taylor expansion of 2.0 in alpha
4.135 * [backup-simplify]: Simplify 2.0 into 2.0
4.135 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in alpha
4.135 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
4.135 * [taylor]: Taking taylor expansion of alpha in alpha
4.135 * [backup-simplify]: Simplify 0 into 0
4.135 * [backup-simplify]: Simplify 1 into 1
4.135 * [backup-simplify]: Simplify (/ 1 1) into 1
4.135 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in alpha
4.135 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
4.135 * [taylor]: Taking taylor expansion of 2.0 in alpha
4.135 * [backup-simplify]: Simplify 2.0 into 2.0
4.135 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
4.136 * [taylor]: Taking taylor expansion of i in alpha
4.136 * [backup-simplify]: Simplify i into i
4.136 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
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)
4.136 * [taylor]: Taking taylor expansion of (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2)) in alpha
4.136 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 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 (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in alpha
4.136 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
4.136 * [taylor]: Taking taylor expansion of 2.0 in alpha
4.136 * [backup-simplify]: Simplify 2.0 into 2.0
4.136 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
4.136 * [taylor]: Taking taylor expansion of i in alpha
4.136 * [backup-simplify]: Simplify i into i
4.137 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
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)
4.137 * [taylor]: Taking taylor expansion of (pow beta 2) 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 0) into 1
4.138 * [backup-simplify]: Simplify (- 1) into -1
4.138 * [backup-simplify]: Simplify (+ 0 -1) into -1
4.138 * [backup-simplify]: Simplify (+ 1 0) into 1
4.138 * [backup-simplify]: Simplify (* beta beta) into (pow beta 2)
4.139 * [backup-simplify]: Simplify (* 1 (pow beta 2)) into (pow beta 2)
4.139 * [backup-simplify]: Simplify (* -1 (pow beta 2)) into (* -1 (pow beta 2))
4.139 * [backup-simplify]: Simplify (/ 1 (* -1 (pow beta 2))) into (/ -1 (pow beta 2))
4.139 * [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
4.139 * [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
4.139 * [taylor]: Taking taylor expansion of 1.0 in alpha
4.139 * [backup-simplify]: Simplify 1.0 into 1.0
4.139 * [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
4.139 * [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
4.139 * [taylor]: Taking taylor expansion of (pow alpha 2) 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 * [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
4.139 * [taylor]: Taking taylor expansion of (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) 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 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
4.140 * [backup-simplify]: Simplify (/ 1 1) into 1
4.140 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in alpha
4.140 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
4.140 * [taylor]: Taking taylor expansion of 2.0 in alpha
4.140 * [backup-simplify]: Simplify 2.0 into 2.0
4.140 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
4.140 * [taylor]: Taking taylor expansion of i in alpha
4.140 * [backup-simplify]: Simplify i into i
4.140 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
4.140 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
4.140 * [taylor]: Taking taylor expansion of beta in alpha
4.140 * [backup-simplify]: Simplify beta into beta
4.140 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
4.140 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in alpha
4.140 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
4.140 * [taylor]: Taking taylor expansion of alpha in alpha
4.140 * [backup-simplify]: Simplify 0 into 0
4.140 * [backup-simplify]: Simplify 1 into 1
4.141 * [backup-simplify]: Simplify (/ 1 1) into 1
4.141 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in alpha
4.141 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
4.141 * [taylor]: Taking taylor expansion of 2.0 in alpha
4.141 * [backup-simplify]: Simplify 2.0 into 2.0
4.141 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
4.141 * [taylor]: Taking taylor expansion of i in alpha
4.141 * [backup-simplify]: Simplify i into i
4.141 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
4.141 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
4.141 * [taylor]: Taking taylor expansion of beta in alpha
4.141 * [backup-simplify]: Simplify beta into beta
4.141 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
4.141 * [backup-simplify]: Simplify (* 1 1) into 1
4.142 * [backup-simplify]: Simplify (+ 1 0) into 1
4.142 * [backup-simplify]: Simplify (- 1) into -1
4.142 * [backup-simplify]: Simplify (+ 0 -1) into -1
4.143 * [backup-simplify]: Simplify (+ 1 0) into 1
4.143 * [backup-simplify]: Simplify (* -1 1) into -1
4.144 * [backup-simplify]: Simplify (* 1 -1) into -1
4.144 * [backup-simplify]: Simplify (/ 1 -1) into -1
4.144 * [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
4.144 * [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
4.144 * [taylor]: Taking taylor expansion of (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) 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 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
4.145 * [backup-simplify]: Simplify (/ 1 1) into 1
4.145 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in alpha
4.145 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
4.145 * [taylor]: Taking taylor expansion of 2.0 in alpha
4.145 * [backup-simplify]: Simplify 2.0 into 2.0
4.145 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
4.145 * [taylor]: Taking taylor expansion of i in alpha
4.145 * [backup-simplify]: Simplify i into i
4.145 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
4.145 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
4.145 * [taylor]: Taking taylor expansion of beta in alpha
4.145 * [backup-simplify]: Simplify beta into beta
4.145 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
4.145 * [taylor]: Taking taylor expansion of (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2)) in alpha
4.145 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in alpha
4.145 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
4.145 * [taylor]: Taking taylor expansion of alpha in alpha
4.145 * [backup-simplify]: Simplify 0 into 0
4.145 * [backup-simplify]: Simplify 1 into 1
4.146 * [backup-simplify]: Simplify (/ 1 1) into 1
4.146 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in alpha
4.146 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
4.146 * [taylor]: Taking taylor expansion of 2.0 in alpha
4.146 * [backup-simplify]: Simplify 2.0 into 2.0
4.146 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
4.146 * [taylor]: Taking taylor expansion of i in alpha
4.146 * [backup-simplify]: Simplify i into i
4.146 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
4.146 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
4.146 * [taylor]: Taking taylor expansion of beta in alpha
4.146 * [backup-simplify]: Simplify beta into beta
4.146 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
4.146 * [taylor]: Taking taylor expansion of (pow beta 2) in alpha
4.146 * [taylor]: Taking taylor expansion of beta in alpha
4.146 * [backup-simplify]: Simplify beta into beta
4.146 * [backup-simplify]: Simplify (+ 1 0) into 1
4.147 * [backup-simplify]: Simplify (- 1) into -1
4.147 * [backup-simplify]: Simplify (+ 0 -1) into -1
4.147 * [backup-simplify]: Simplify (+ 1 0) into 1
4.148 * [backup-simplify]: Simplify (* beta beta) into (pow beta 2)
4.148 * [backup-simplify]: Simplify (* 1 (pow beta 2)) into (pow beta 2)
4.148 * [backup-simplify]: Simplify (* -1 (pow beta 2)) into (* -1 (pow beta 2))
4.148 * [backup-simplify]: Simplify (/ 1 (* -1 (pow beta 2))) into (/ -1 (pow beta 2))
4.149 * [backup-simplify]: Simplify (+ 1.0 -1) into 0
4.149 * [backup-simplify]: Simplify (+ 0 0) into 0
4.149 * [taylor]: Taking taylor expansion of 0 in beta
4.149 * [backup-simplify]: Simplify 0 into 0
4.149 * [taylor]: Taking taylor expansion of 0 in i
4.149 * [backup-simplify]: Simplify 0 into 0
4.149 * [backup-simplify]: Simplify 0 into 0
4.150 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.150 * [backup-simplify]: Simplify (* 2.0 (/ 1 i)) into (/ 2.0 i)
4.150 * [backup-simplify]: Simplify (+ (/ 2.0 i) (/ 1 beta)) into (+ (* 2.0 (/ 1 i)) (/ 1 beta))
4.150 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 (/ 1 i)) (/ 1 beta))) into (+ (* 2.0 (/ 1 i)) (/ 1 beta))
4.151 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.151 * [backup-simplify]: Simplify (* 2.0 (/ 1 i)) into (/ 2.0 i)
4.151 * [backup-simplify]: Simplify (+ (/ 2.0 i) (/ 1 beta)) into (+ (* 2.0 (/ 1 i)) (/ 1 beta))
4.151 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 (/ 1 i)) (/ 1 beta))) into (+ (* 2.0 (/ 1 i)) (/ 1 beta))
4.151 * [backup-simplify]: Simplify (- (+ (* 2.0 (/ 1 i)) (/ 1 beta))) into (- (+ (* 2.0 (/ 1 i)) (/ 1 beta)))
4.152 * [backup-simplify]: Simplify (+ 2.0 (- (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) into (- 2.0 (+ (* 2.0 (/ 1 i)) (/ 1 beta)))
4.152 * [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))))
4.153 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.153 * [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))))
4.154 * [backup-simplify]: Simplify (- (+ (* -1 (/ (- 2.0 (+ (* 4.0 (/ 1 i)) (* 2 (/ 1 beta)))) -1)))) into (- (+ (* 4.0 (/ 1 i)) (* 2 (/ 1 beta))) 2.0)
4.154 * [backup-simplify]: Simplify (+ 0 (- (+ (* 4.0 (/ 1 i)) (* 2 (/ 1 beta))) 2.0)) into (- (+ (* 4.0 (/ 1 i)) (* 2 (/ 1 beta))) 2.0)
4.154 * [backup-simplify]: Simplify (+ (- (+ (* 4.0 (/ 1 i)) (* 2 (/ 1 beta))) 2.0) 0) into (- (+ (* 4.0 (/ 1 i)) (* 2 (/ 1 beta))) 2.0)
4.154 * [taylor]: Taking taylor expansion of (- (+ (* 4.0 (/ 1 i)) (* 2 (/ 1 beta))) 2.0) in beta
4.154 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 i)) (* 2 (/ 1 beta))) in beta
4.154 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 i)) in beta
4.154 * [taylor]: Taking taylor expansion of 4.0 in beta
4.154 * [backup-simplify]: Simplify 4.0 into 4.0
4.154 * [taylor]: Taking taylor expansion of (/ 1 i) in beta
4.154 * [taylor]: Taking taylor expansion of i in beta
4.154 * [backup-simplify]: Simplify i into i
4.155 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
4.155 * [taylor]: Taking taylor expansion of (* 2 (/ 1 beta)) in beta
4.155 * [taylor]: Taking taylor expansion of 2 in beta
4.155 * [backup-simplify]: Simplify 2 into 2
4.155 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
4.155 * [taylor]: Taking taylor expansion of beta in beta
4.155 * [backup-simplify]: Simplify 0 into 0
4.155 * [backup-simplify]: Simplify 1 into 1
4.155 * [backup-simplify]: Simplify (/ 1 1) into 1
4.155 * [taylor]: Taking taylor expansion of 2.0 in beta
4.155 * [backup-simplify]: Simplify 2.0 into 2.0
4.155 * [backup-simplify]: Simplify (* 4.0 (/ 1 i)) into (/ 4.0 i)
4.156 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.157 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0
4.157 * [backup-simplify]: Simplify (+ (/ 4.0 i) 0) into (* 4.0 (/ 1 i))
4.157 * [backup-simplify]: Simplify (- 2.0) into (- 2.0)
4.157 * [backup-simplify]: Simplify (+ (* 4.0 (/ 1 i)) (- 2.0)) into (- (* 4.0 (/ 1 i)) 2.0)
4.157 * [taylor]: Taking taylor expansion of (- (* 4.0 (/ 1 i)) 2.0) in i
4.157 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 i)) in i
4.157 * [taylor]: Taking taylor expansion of 4.0 in i
4.158 * [backup-simplify]: Simplify 4.0 into 4.0
4.158 * [taylor]: Taking taylor expansion of (/ 1 i) in i
4.158 * [taylor]: Taking taylor expansion of i in i
4.158 * [backup-simplify]: Simplify 0 into 0
4.158 * [backup-simplify]: Simplify 1 into 1
4.158 * [backup-simplify]: Simplify (/ 1 1) into 1
4.158 * [taylor]: Taking taylor expansion of 2.0 in i
4.158 * [backup-simplify]: Simplify 2.0 into 2.0
4.159 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.159 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 1)) into 0
4.160 * [backup-simplify]: Simplify (- 2.0) into (- 2.0)
4.160 * [backup-simplify]: Simplify (+ 0 (- 2.0)) into (- 2.0)
4.161 * [backup-simplify]: Simplify (- 2.0) into (- 2.0)
4.161 * [taylor]: Taking taylor expansion of 0 in i
4.161 * [backup-simplify]: Simplify 0 into 0
4.161 * [backup-simplify]: Simplify 0 into 0
4.161 * [backup-simplify]: Simplify 0 into 0
4.162 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.162 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
4.162 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 (/ 1 i))) into 0
4.162 * [backup-simplify]: Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
4.163 * [backup-simplify]: Simplify (+ 0 0) into 0
4.163 * [backup-simplify]: Simplify (+ 0 0) into 0
4.164 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.164 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
4.164 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 (/ 1 i))) into 0
4.165 * [backup-simplify]: Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
4.165 * [backup-simplify]: Simplify (+ 0 0) into 0
4.165 * [backup-simplify]: Simplify (+ 0 0) into 0
4.166 * [backup-simplify]: Simplify (- 0) into 0
4.166 * [backup-simplify]: Simplify (+ 0 0) into 0
4.168 * [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)))))
4.168 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.170 * [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)))))
4.172 * [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))))
4.173 * [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))))
4.173 * [backup-simplify]: Simplify (- (/ -1 (pow beta 2))) into (/ 1 (pow beta 2))
4.174 * [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))))
4.174 * [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
4.175 * [taylor]: Taking taylor expansion of (+ (* 12.0 (/ 1 i)) (* 6.0 (/ 1 beta))) in beta
4.175 * [taylor]: Taking taylor expansion of (* 12.0 (/ 1 i)) in beta
4.175 * [taylor]: Taking taylor expansion of 12.0 in beta
4.175 * [backup-simplify]: Simplify 12.0 into 12.0
4.175 * [taylor]: Taking taylor expansion of (/ 1 i) in beta
4.175 * [taylor]: Taking taylor expansion of i in beta
4.175 * [backup-simplify]: Simplify i into i
4.175 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
4.175 * [taylor]: Taking taylor expansion of (* 6.0 (/ 1 beta)) in beta
4.175 * [taylor]: Taking taylor expansion of 6.0 in beta
4.175 * [backup-simplify]: Simplify 6.0 into 6.0
4.175 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
4.175 * [taylor]: Taking taylor expansion of beta in beta
4.175 * [backup-simplify]: Simplify 0 into 0
4.175 * [backup-simplify]: Simplify 1 into 1
4.175 * [backup-simplify]: Simplify (/ 1 1) into 1
4.175 * [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
4.175 * [taylor]: Taking taylor expansion of (* 12.0 (/ 1 (pow i 2))) in beta
4.175 * [taylor]: Taking taylor expansion of 12.0 in beta
4.175 * [backup-simplify]: Simplify 12.0 into 12.0
4.176 * [taylor]: Taking taylor expansion of (/ 1 (pow i 2)) in beta
4.176 * [taylor]: Taking taylor expansion of (pow i 2) in beta
4.176 * [taylor]: Taking taylor expansion of i in beta
4.176 * [backup-simplify]: Simplify i into i
4.176 * [backup-simplify]: Simplify (* i i) into (pow i 2)
4.176 * [backup-simplify]: Simplify (/ 1 (pow i 2)) into (/ 1 (pow i 2))
4.176 * [taylor]: Taking taylor expansion of (+ (* 12.0 (/ 1 (* i beta))) (+ (* 2 (/ 1 (pow beta 2))) 4.0)) in beta
4.176 * [taylor]: Taking taylor expansion of (* 12.0 (/ 1 (* i beta))) in beta
4.176 * [taylor]: Taking taylor expansion of 12.0 in beta
4.176 * [backup-simplify]: Simplify 12.0 into 12.0
4.176 * [taylor]: Taking taylor expansion of (/ 1 (* i beta)) in beta
4.176 * [taylor]: Taking taylor expansion of (* i beta) in beta
4.176 * [taylor]: Taking taylor expansion of i in beta
4.176 * [backup-simplify]: Simplify i into i
4.176 * [taylor]: Taking taylor expansion of beta in beta
4.176 * [backup-simplify]: Simplify 0 into 0
4.176 * [backup-simplify]: Simplify 1 into 1
4.176 * [backup-simplify]: Simplify (* i 0) into 0
4.177 * [backup-simplify]: Simplify (+ (* i 1) (* 0 0)) into i
4.177 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
4.177 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (pow beta 2))) 4.0) in beta
4.177 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow beta 2))) in beta
4.177 * [taylor]: Taking taylor expansion of 2 in beta
4.177 * [backup-simplify]: Simplify 2 into 2
4.177 * [taylor]: Taking taylor expansion of (/ 1 (pow beta 2)) in beta
4.177 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
4.177 * [taylor]: Taking taylor expansion of beta in beta
4.177 * [backup-simplify]: Simplify 0 into 0
4.177 * [backup-simplify]: Simplify 1 into 1
4.177 * [backup-simplify]: Simplify (* 1 1) into 1
4.178 * [backup-simplify]: Simplify (/ 1 1) into 1
4.178 * [taylor]: Taking taylor expansion of 4.0 in beta
4.178 * [backup-simplify]: Simplify 4.0 into 4.0
4.178 * [backup-simplify]: Simplify (* 12.0 (/ 1 i)) into (/ 12.0 i)
4.178 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.179 * [backup-simplify]: Simplify (+ (* 6.0 0) (* 0 1)) into 0
4.179 * [backup-simplify]: Simplify (+ (/ 12.0 i) 0) into (* 12.0 (/ 1 i))
4.179 * [backup-simplify]: Simplify (* 12.0 (/ 1 (pow i 2))) into (/ 12.0 (pow i 2))
4.180 * [backup-simplify]: Simplify (+ (* i 0) (+ (* 0 1) (* 0 0))) into 0
4.180 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
4.180 * [backup-simplify]: Simplify (+ (* 12.0 0) (* 0 (/ 1 i))) into 0
4.181 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.182 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.182 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.183 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.184 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0
4.184 * [backup-simplify]: Simplify (+ 0 4.0) into 4.0
4.185 * [backup-simplify]: Simplify (+ 0 4.0) into 4.0
4.185 * [backup-simplify]: Simplify (+ (/ 12.0 (pow i 2)) 4.0) into (+ (* 12.0 (/ 1 (pow i 2))) 4.0)
4.185 * [backup-simplify]: Simplify (- (+ (* 12.0 (/ 1 (pow i 2))) 4.0)) into (- (+ (* 12.0 (/ 1 (pow i 2))) 4.0))
4.186 * [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))
4.186 * [taylor]: Taking taylor expansion of (- (* 12.0 (/ 1 i)) (+ (* 12.0 (/ 1 (pow i 2))) 4.0)) in i
4.186 * [taylor]: Taking taylor expansion of (* 12.0 (/ 1 i)) in i
4.186 * [taylor]: Taking taylor expansion of 12.0 in i
4.186 * [backup-simplify]: Simplify 12.0 into 12.0
4.186 * [taylor]: Taking taylor expansion of (/ 1 i) in i
4.186 * [taylor]: Taking taylor expansion of i in i
4.186 * [backup-simplify]: Simplify 0 into 0
4.186 * [backup-simplify]: Simplify 1 into 1
4.186 * [backup-simplify]: Simplify (/ 1 1) into 1
4.186 * [taylor]: Taking taylor expansion of (+ (* 12.0 (/ 1 (pow i 2))) 4.0) in i
4.186 * [taylor]: Taking taylor expansion of (* 12.0 (/ 1 (pow i 2))) in i
4.186 * [taylor]: Taking taylor expansion of 12.0 in i
4.186 * [backup-simplify]: Simplify 12.0 into 12.0
4.186 * [taylor]: Taking taylor expansion of (/ 1 (pow i 2)) in i
4.186 * [taylor]: Taking taylor expansion of (pow i 2) in i
4.186 * [taylor]: Taking taylor expansion of i in i
4.187 * [backup-simplify]: Simplify 0 into 0
4.187 * [backup-simplify]: Simplify 1 into 1
4.187 * [backup-simplify]: Simplify (* 1 1) into 1
4.187 * [backup-simplify]: Simplify (/ 1 1) into 1
4.187 * [taylor]: Taking taylor expansion of 4.0 in i
4.187 * [backup-simplify]: Simplify 4.0 into 4.0
4.188 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.189 * [backup-simplify]: Simplify (+ (* 12.0 0) (* 0 1)) into 0
4.189 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.190 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.191 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.191 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.192 * [backup-simplify]: Simplify (+ (* 12.0 0) (+ (* 0 0) (* 0 1))) into 0
4.192 * [backup-simplify]: Simplify (+ 0 4.0) into 4.0
4.192 * [backup-simplify]: Simplify (- 4.0) into (- 4.0)
4.193 * [backup-simplify]: Simplify (+ 0 (- 4.0)) into (- 4.0)
4.193 * [backup-simplify]: Simplify (- 4.0) into (- 4.0)
4.193 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
4.194 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 i))) into 0
4.194 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.195 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0
4.196 * [backup-simplify]: Simplify (+ 0 0) into 0
4.196 * [backup-simplify]: Simplify (- 0) into 0
4.196 * [backup-simplify]: Simplify (+ 0 0) into 0
4.196 * [taylor]: Taking taylor expansion of 0 in i
4.196 * [backup-simplify]: Simplify 0 into 0
4.196 * [backup-simplify]: Simplify 0 into 0
4.196 * [taylor]: Taking taylor expansion of 0 in i
4.196 * [backup-simplify]: Simplify 0 into 0
4.197 * [backup-simplify]: Simplify 0 into 0
4.197 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.198 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 1))) into 0
4.198 * [backup-simplify]: Simplify (- 0) into 0
4.199 * [backup-simplify]: Simplify (+ 0 0) into 0
4.199 * [backup-simplify]: Simplify 0 into 0
4.199 * [backup-simplify]: Simplify 0 into 0
4.199 * [backup-simplify]: Simplify 0 into 0
4.200 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.200 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)) (* 0 (/ 0 i)))) into 0
4.204 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 (/ 1 i)))) into 0
4.204 * [backup-simplify]: Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
4.205 * [backup-simplify]: Simplify (+ 0 0) into 0
4.205 * [backup-simplify]: Simplify (+ 0 0) into 0
4.206 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.206 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)) (* 0 (/ 0 i)))) into 0
4.207 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 (/ 1 i)))) into 0
4.207 * [backup-simplify]: Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
4.207 * [backup-simplify]: Simplify (+ 0 0) into 0
4.208 * [backup-simplify]: Simplify (+ 0 0) into 0
4.208 * [backup-simplify]: Simplify (- 0) into 0
4.208 * [backup-simplify]: Simplify (+ 0 0) into 0
4.210 * [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
4.211 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.212 * [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
4.218 * [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))))
4.220 * [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))))
4.221 * [backup-simplify]: Simplify (+ (* beta 0) (* 0 beta)) into 0
4.222 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.222 * [backup-simplify]: Simplify (* 2.0 (/ 1 i)) into (/ 2.0 i)
4.222 * [backup-simplify]: Simplify (+ (/ 2.0 i) (/ 1 beta)) into (+ (* 2.0 (/ 1 i)) (/ 1 beta))
4.222 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 (/ 1 i)) (/ 1 beta))) into (+ (* 2.0 (/ 1 i)) (/ 1 beta))
4.223 * [backup-simplify]: Simplify (+ (* 1 0) (* (+ (* 2.0 (/ 1 i)) (/ 1 beta)) (pow beta 2))) into (+ (* 2.0 (/ (pow beta 2) i)) beta)
4.224 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.224 * [backup-simplify]: Simplify (* 2.0 (/ 1 i)) into (/ 2.0 i)
4.224 * [backup-simplify]: Simplify (+ (/ 2.0 i) (/ 1 beta)) into (+ (* 2.0 (/ 1 i)) (/ 1 beta))
4.224 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 (/ 1 i)) (/ 1 beta))) into (+ (* 2.0 (/ 1 i)) (/ 1 beta))
4.224 * [backup-simplify]: Simplify (- (+ (* 2.0 (/ 1 i)) (/ 1 beta))) into (- (+ (* 2.0 (/ 1 i)) (/ 1 beta)))
4.224 * [backup-simplify]: Simplify (+ 2.0 (- (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) into (- 2.0 (+ (* 2.0 (/ 1 i)) (/ 1 beta)))
4.225 * [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)))
4.226 * [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))))
4.227 * [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)))))
4.231 * [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)))))))
4.231 * [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
4.231 * [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
4.231 * [taylor]: Taking taylor expansion of (* 20.0 (/ 1 (* i (pow beta 2)))) in beta
4.231 * [taylor]: Taking taylor expansion of 20.0 in beta
4.231 * [backup-simplify]: Simplify 20.0 into 20.0
4.231 * [taylor]: Taking taylor expansion of (/ 1 (* i (pow beta 2))) in beta
4.231 * [taylor]: Taking taylor expansion of (* i (pow beta 2)) in beta
4.231 * [taylor]: Taking taylor expansion of i in beta
4.231 * [backup-simplify]: Simplify i into i
4.231 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
4.231 * [taylor]: Taking taylor expansion of beta in beta
4.231 * [backup-simplify]: Simplify 0 into 0
4.231 * [backup-simplify]: Simplify 1 into 1
4.232 * [backup-simplify]: Simplify (* 1 1) into 1
4.232 * [backup-simplify]: Simplify (* i 1) into i
4.232 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
4.232 * [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
4.232 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow beta 3))) in beta
4.232 * [taylor]: Taking taylor expansion of 2 in beta
4.232 * [backup-simplify]: Simplify 2 into 2
4.232 * [taylor]: Taking taylor expansion of (/ 1 (pow beta 3)) in beta
4.232 * [taylor]: Taking taylor expansion of (pow beta 3) in beta
4.232 * [taylor]: Taking taylor expansion of beta in beta
4.232 * [backup-simplify]: Simplify 0 into 0
4.232 * [backup-simplify]: Simplify 1 into 1
4.233 * [backup-simplify]: Simplify (* 1 1) into 1
4.233 * [backup-simplify]: Simplify (* 1 1) into 1
4.233 * [backup-simplify]: Simplify (/ 1 1) into 1
4.234 * [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
4.234 * [taylor]: Taking taylor expansion of (* 48.0 (/ 1 (* (pow i 2) beta))) in beta
4.234 * [taylor]: Taking taylor expansion of 48.0 in beta
4.234 * [backup-simplify]: Simplify 48.0 into 48.0
4.234 * [taylor]: Taking taylor expansion of (/ 1 (* (pow i 2) beta)) in beta
4.234 * [taylor]: Taking taylor expansion of (* (pow i 2) beta) in beta
4.234 * [taylor]: Taking taylor expansion of (pow i 2) in beta
4.234 * [taylor]: Taking taylor expansion of i in beta
4.234 * [backup-simplify]: Simplify i into i
4.234 * [taylor]: Taking taylor expansion of beta in beta
4.234 * [backup-simplify]: Simplify 0 into 0
4.234 * [backup-simplify]: Simplify 1 into 1
4.234 * [backup-simplify]: Simplify (* i i) into (pow i 2)
4.234 * [backup-simplify]: Simplify (* (pow i 2) 0) into 0
4.234 * [backup-simplify]: Simplify (+ (* i 0) (* 0 i)) into 0
4.234 * [backup-simplify]: Simplify (+ (* (pow i 2) 1) (* 0 0)) into (pow i 2)
4.235 * [backup-simplify]: Simplify (/ 1 (pow i 2)) into (/ 1 (pow i 2))
4.235 * [taylor]: Taking taylor expansion of (+ (* 32.0 (/ 1 i)) (+ (* 16.0 (/ 1 beta)) (* 32.0 (/ 1 (pow i 3))))) in beta
4.235 * [taylor]: Taking taylor expansion of (* 32.0 (/ 1 i)) in beta
4.235 * [taylor]: Taking taylor expansion of 32.0 in beta
4.235 * [backup-simplify]: Simplify 32.0 into 32.0
4.235 * [taylor]: Taking taylor expansion of (/ 1 i) in beta
4.235 * [taylor]: Taking taylor expansion of i in beta
4.235 * [backup-simplify]: Simplify i into i
4.235 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
4.235 * [taylor]: Taking taylor expansion of (+ (* 16.0 (/ 1 beta)) (* 32.0 (/ 1 (pow i 3)))) in beta
4.235 * [taylor]: Taking taylor expansion of (* 16.0 (/ 1 beta)) in beta
4.235 * [taylor]: Taking taylor expansion of 16.0 in beta
4.235 * [backup-simplify]: Simplify 16.0 into 16.0
4.235 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
4.235 * [taylor]: Taking taylor expansion of beta in beta
4.235 * [backup-simplify]: Simplify 0 into 0
4.235 * [backup-simplify]: Simplify 1 into 1
4.235 * [backup-simplify]: Simplify (/ 1 1) into 1
4.235 * [taylor]: Taking taylor expansion of (* 32.0 (/ 1 (pow i 3))) in beta
4.235 * [taylor]: Taking taylor expansion of 32.0 in beta
4.235 * [backup-simplify]: Simplify 32.0 into 32.0
4.235 * [taylor]: Taking taylor expansion of (/ 1 (pow i 3)) in beta
4.235 * [taylor]: Taking taylor expansion of (pow i 3) in beta
4.235 * [taylor]: Taking taylor expansion of i in beta
4.235 * [backup-simplify]: Simplify i into i
4.235 * [backup-simplify]: Simplify (* i i) into (pow i 2)
4.235 * [backup-simplify]: Simplify (* i (pow i 2)) into (pow i 3)
4.235 * [backup-simplify]: Simplify (/ 1 (pow i 3)) into (/ 1 (pow i 3))
4.236 * [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
4.236 * [taylor]: Taking taylor expansion of (* 10.0 (/ 1 (pow beta 2))) in beta
4.236 * [taylor]: Taking taylor expansion of 10.0 in beta
4.236 * [backup-simplify]: Simplify 10.0 into 10.0
4.236 * [taylor]: Taking taylor expansion of (/ 1 (pow beta 2)) in beta
4.236 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
4.236 * [taylor]: Taking taylor expansion of beta in beta
4.236 * [backup-simplify]: Simplify 0 into 0
4.236 * [backup-simplify]: Simplify 1 into 1
4.236 * [backup-simplify]: Simplify (* 1 1) into 1
4.236 * [backup-simplify]: Simplify (/ 1 1) into 1
4.236 * [taylor]: Taking taylor expansion of (+ 8.0 (+ (* 48.0 (/ 1 (pow i 2))) (* 48.0 (/ 1 (* i beta))))) in beta
4.236 * [taylor]: Taking taylor expansion of 8.0 in beta
4.236 * [backup-simplify]: Simplify 8.0 into 8.0
4.236 * [taylor]: Taking taylor expansion of (+ (* 48.0 (/ 1 (pow i 2))) (* 48.0 (/ 1 (* i beta)))) in beta
4.236 * [taylor]: Taking taylor expansion of (* 48.0 (/ 1 (pow i 2))) in beta
4.236 * [taylor]: Taking taylor expansion of 48.0 in beta
4.236 * [backup-simplify]: Simplify 48.0 into 48.0
4.236 * [taylor]: Taking taylor expansion of (/ 1 (pow i 2)) in beta
4.236 * [taylor]: Taking taylor expansion of (pow i 2) in beta
4.236 * [taylor]: Taking taylor expansion of i in beta
4.236 * [backup-simplify]: Simplify i into i
4.236 * [backup-simplify]: Simplify (* i i) into (pow i 2)
4.237 * [backup-simplify]: Simplify (/ 1 (pow i 2)) into (/ 1 (pow i 2))
4.237 * [taylor]: Taking taylor expansion of (* 48.0 (/ 1 (* i beta))) in beta
4.237 * [taylor]: Taking taylor expansion of 48.0 in beta
4.237 * [backup-simplify]: Simplify 48.0 into 48.0
4.237 * [taylor]: Taking taylor expansion of (/ 1 (* i beta)) in beta
4.237 * [taylor]: Taking taylor expansion of (* i beta) in beta
4.237 * [taylor]: Taking taylor expansion of i in beta
4.237 * [backup-simplify]: Simplify i into i
4.237 * [taylor]: Taking taylor expansion of beta in beta
4.237 * [backup-simplify]: Simplify 0 into 0
4.237 * [backup-simplify]: Simplify 1 into 1
4.237 * [backup-simplify]: Simplify (* i 0) into 0
4.237 * [backup-simplify]: Simplify (+ (* i 1) (* 0 0)) into i
4.237 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
4.238 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.238 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.238 * [backup-simplify]: Simplify (+ (* i 0) (+ (* 0 0) (* 0 1))) into 0
4.239 * [backup-simplify]: Simplify (+ (* i 0) (* 0 1)) into 0
4.239 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
4.239 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)) (* 0 (/ 0 i)))) into 0
4.239 * [backup-simplify]: Simplify (+ (* 20.0 0) (+ (* 0 0) (* 0 (/ 1 i)))) into 0
4.240 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.241 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.241 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.241 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.242 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.242 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.243 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.243 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.244 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.245 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.246 * [backup-simplify]: Simplify (+ (* i 0) (+ (* 0 0) (* 0 i))) into 0
4.246 * [backup-simplify]: Simplify (+ (* (pow i 2) 0) (+ (* 0 1) (* 0 0))) into 0
4.247 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow i 2)) (/ 0 (pow i 2))))) into 0
4.247 * [backup-simplify]: Simplify (+ (* 48.0 0) (* 0 (/ 1 (pow i 2)))) into 0
4.247 * [backup-simplify]: Simplify (* 32.0 (/ 1 i)) into (/ 32.0 i)
4.248 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.249 * [backup-simplify]: Simplify (+ (* 16.0 0) (* 0 1)) into 0
4.249 * [backup-simplify]: Simplify (* 32.0 (/ 1 (pow i 3))) into (/ 32.0 (pow i 3))
4.249 * [backup-simplify]: Simplify (+ 0 (/ 32.0 (pow i 3))) into (* 32.0 (/ 1 (pow i 3)))
4.249 * [backup-simplify]: Simplify (+ (/ 32.0 i) (* 32.0 (/ 1 (pow i 3)))) into (+ (* 32.0 (/ 1 i)) (* 32.0 (/ 1 (pow i 3))))
4.250 * [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)))
4.250 * [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)))
4.250 * [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)))
4.251 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.252 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.253 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.254 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.254 * [backup-simplify]: Simplify (+ (* 10.0 0) (+ (* 0 0) (* 0 1))) into 0
4.255 * [backup-simplify]: Simplify (* 48.0 (/ 1 (pow i 2))) into (/ 48.0 (pow i 2))
4.255 * [backup-simplify]: Simplify (+ (* i 0) (+ (* 0 1) (* 0 0))) into 0
4.255 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
4.256 * [backup-simplify]: Simplify (+ (* 48.0 0) (* 0 (/ 1 i))) into 0
4.256 * [backup-simplify]: Simplify (+ (/ 48.0 (pow i 2)) 0) into (* 48.0 (/ 1 (pow i 2)))
4.256 * [backup-simplify]: Simplify (+ 8.0 (* 48.0 (/ 1 (pow i 2)))) into (+ (* 48.0 (/ 1 (pow i 2))) 8.0)
4.256 * [backup-simplify]: Simplify (+ 0 (+ (* 48.0 (/ 1 (pow i 2))) 8.0)) into (+ (* 48.0 (/ 1 (pow i 2))) 8.0)
4.256 * [backup-simplify]: Simplify (- (+ (* 48.0 (/ 1 (pow i 2))) 8.0)) into (- (+ (* 48.0 (/ 1 (pow i 2))) 8.0))
4.257 * [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)))))
4.257 * [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
4.257 * [taylor]: Taking taylor expansion of (+ (* 32.0 (/ 1 i)) (* 32.0 (/ 1 (pow i 3)))) in i
4.257 * [taylor]: Taking taylor expansion of (* 32.0 (/ 1 i)) in i
4.257 * [taylor]: Taking taylor expansion of 32.0 in i
4.257 * [backup-simplify]: Simplify 32.0 into 32.0
4.257 * [taylor]: Taking taylor expansion of (/ 1 i) in i
4.257 * [taylor]: Taking taylor expansion of i in i
4.257 * [backup-simplify]: Simplify 0 into 0
4.257 * [backup-simplify]: Simplify 1 into 1
4.257 * [backup-simplify]: Simplify (/ 1 1) into 1
4.257 * [taylor]: Taking taylor expansion of (* 32.0 (/ 1 (pow i 3))) in i
4.257 * [taylor]: Taking taylor expansion of 32.0 in i
4.257 * [backup-simplify]: Simplify 32.0 into 32.0
4.257 * [taylor]: Taking taylor expansion of (/ 1 (pow i 3)) in i
4.257 * [taylor]: Taking taylor expansion of (pow i 3) in i
4.257 * [taylor]: Taking taylor expansion of i in i
4.257 * [backup-simplify]: Simplify 0 into 0
4.257 * [backup-simplify]: Simplify 1 into 1
4.258 * [backup-simplify]: Simplify (* 1 1) into 1
4.258 * [backup-simplify]: Simplify (* 1 1) into 1
4.258 * [backup-simplify]: Simplify (/ 1 1) into 1
4.258 * [taylor]: Taking taylor expansion of (+ 8.0 (* 48.0 (/ 1 (pow i 2)))) in i
4.258 * [taylor]: Taking taylor expansion of 8.0 in i
4.258 * [backup-simplify]: Simplify 8.0 into 8.0
4.258 * [taylor]: Taking taylor expansion of (* 48.0 (/ 1 (pow i 2))) in i
4.258 * [taylor]: Taking taylor expansion of 48.0 in i
4.258 * [backup-simplify]: Simplify 48.0 into 48.0
4.258 * [taylor]: Taking taylor expansion of (/ 1 (pow i 2)) in i
4.258 * [taylor]: Taking taylor expansion of (pow i 2) in i
4.258 * [taylor]: Taking taylor expansion of i in i
4.258 * [backup-simplify]: Simplify 0 into 0
4.258 * [backup-simplify]: Simplify 1 into 1
4.258 * [backup-simplify]: Simplify (* 1 1) into 1
4.259 * [backup-simplify]: Simplify (/ 1 1) into 1
4.259 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.260 * [backup-simplify]: Simplify (+ (* 32.0 0) (* 0 1)) into 0
4.260 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.261 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.261 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.262 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.262 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.262 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.263 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.264 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.264 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.265 * [backup-simplify]: Simplify (+ (* 32.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.265 * [backup-simplify]: Simplify (+ 0 0) into 0
4.265 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.266 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.266 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.267 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.267 * [backup-simplify]: Simplify (+ (* 48.0 0) (+ (* 0 0) (* 0 1))) into 0
4.268 * [backup-simplify]: Simplify (+ 8.0 0) into 8.0
4.268 * [backup-simplify]: Simplify (- 8.0) into (- 8.0)
4.269 * [backup-simplify]: Simplify (+ 0 (- 8.0)) into (- 8.0)
4.269 * [backup-simplify]: Simplify (- 8.0) into (- 8.0)
4.270 * [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))))
4.270 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 2)
4.270 * [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)))))
4.270 * [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
4.270 * [taylor]: Taking taylor expansion of (/ (- beta alpha) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta))))) in i
4.270 * [taylor]: Taking taylor expansion of (- beta alpha) in i
4.270 * [taylor]: Taking taylor expansion of beta in i
4.270 * [backup-simplify]: Simplify beta into beta
4.270 * [taylor]: Taking taylor expansion of alpha in i
4.270 * [backup-simplify]: Simplify alpha into alpha
4.271 * [taylor]: Taking taylor expansion of (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta)))) in i
4.271 * [taylor]: Taking taylor expansion of (+ alpha (+ (* 2.0 i) beta)) in i
4.271 * [taylor]: Taking taylor expansion of alpha in i
4.271 * [backup-simplify]: Simplify alpha into alpha
4.271 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in i
4.271 * [taylor]: Taking taylor expansion of (* 2.0 i) in i
4.271 * [taylor]: Taking taylor expansion of 2.0 in i
4.271 * [backup-simplify]: Simplify 2.0 into 2.0
4.271 * [taylor]: Taking taylor expansion of i in i
4.271 * [backup-simplify]: Simplify 0 into 0
4.271 * [backup-simplify]: Simplify 1 into 1
4.271 * [taylor]: Taking taylor expansion of beta in i
4.271 * [backup-simplify]: Simplify beta into beta
4.271 * [taylor]: Taking taylor expansion of (+ alpha (+ 2.0 (+ (* 2.0 i) beta))) in i
4.271 * [taylor]: Taking taylor expansion of alpha in i
4.271 * [backup-simplify]: Simplify alpha into alpha
4.271 * [taylor]: Taking taylor expansion of (+ 2.0 (+ (* 2.0 i) beta)) in i
4.271 * [taylor]: Taking taylor expansion of 2.0 in i
4.271 * [backup-simplify]: Simplify 2.0 into 2.0
4.271 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in i
4.271 * [taylor]: Taking taylor expansion of (* 2.0 i) in i
4.271 * [taylor]: Taking taylor expansion of 2.0 in i
4.271 * [backup-simplify]: Simplify 2.0 into 2.0
4.271 * [taylor]: Taking taylor expansion of i in i
4.271 * [backup-simplify]: Simplify 0 into 0
4.271 * [backup-simplify]: Simplify 1 into 1
4.271 * [taylor]: Taking taylor expansion of beta in i
4.271 * [backup-simplify]: Simplify beta into beta
4.271 * [backup-simplify]: Simplify (- alpha) into (- alpha)
4.271 * [backup-simplify]: Simplify (+ beta (- alpha)) into (- beta alpha)
4.271 * [backup-simplify]: Simplify (* 2.0 0) into 0
4.271 * [backup-simplify]: Simplify (+ 0 beta) into beta
4.271 * [backup-simplify]: Simplify (+ alpha beta) into (+ alpha beta)
4.272 * [backup-simplify]: Simplify (* 2.0 0) into 0
4.272 * [backup-simplify]: Simplify (+ 0 beta) into beta
4.272 * [backup-simplify]: Simplify (+ 2.0 beta) into (+ beta 2.0)
4.272 * [backup-simplify]: Simplify (+ alpha (+ beta 2.0)) into (+ alpha (+ beta 2.0))
4.272 * [backup-simplify]: Simplify (* (+ alpha beta) (+ alpha (+ beta 2.0))) into (* (+ alpha beta) (+ alpha (+ beta 2.0)))
4.272 * [backup-simplify]: Simplify (/ (- beta alpha) (* (+ alpha beta) (+ alpha (+ beta 2.0)))) into (/ (- beta alpha) (* (+ alpha beta) (+ alpha (+ beta 2.0))))
4.272 * [taylor]: Taking taylor expansion of (/ (- beta alpha) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta))))) in alpha
4.272 * [taylor]: Taking taylor expansion of (- beta alpha) in alpha
4.272 * [taylor]: Taking taylor expansion of beta in alpha
4.272 * [backup-simplify]: Simplify beta into beta
4.272 * [taylor]: Taking taylor expansion of alpha in alpha
4.272 * [backup-simplify]: Simplify 0 into 0
4.272 * [backup-simplify]: Simplify 1 into 1
4.272 * [taylor]: Taking taylor expansion of (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta)))) in alpha
4.272 * [taylor]: Taking taylor expansion of (+ alpha (+ (* 2.0 i) beta)) in alpha
4.272 * [taylor]: Taking taylor expansion of alpha in alpha
4.272 * [backup-simplify]: Simplify 0 into 0
4.272 * [backup-simplify]: Simplify 1 into 1
4.272 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in alpha
4.272 * [taylor]: Taking taylor expansion of (* 2.0 i) in alpha
4.272 * [taylor]: Taking taylor expansion of 2.0 in alpha
4.272 * [backup-simplify]: Simplify 2.0 into 2.0
4.272 * [taylor]: Taking taylor expansion of i in alpha
4.272 * [backup-simplify]: Simplify i into i
4.272 * [taylor]: Taking taylor expansion of beta in alpha
4.272 * [backup-simplify]: Simplify beta into beta
4.272 * [taylor]: Taking taylor expansion of (+ alpha (+ 2.0 (+ (* 2.0 i) beta))) in alpha
4.272 * [taylor]: Taking taylor expansion of alpha in alpha
4.272 * [backup-simplify]: Simplify 0 into 0
4.272 * [backup-simplify]: Simplify 1 into 1
4.272 * [taylor]: Taking taylor expansion of (+ 2.0 (+ (* 2.0 i) beta)) in alpha
4.272 * [taylor]: Taking taylor expansion of 2.0 in alpha
4.272 * [backup-simplify]: Simplify 2.0 into 2.0
4.272 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in alpha
4.272 * [taylor]: Taking taylor expansion of (* 2.0 i) in alpha
4.272 * [taylor]: Taking taylor expansion of 2.0 in alpha
4.272 * [backup-simplify]: Simplify 2.0 into 2.0
4.272 * [taylor]: Taking taylor expansion of i in alpha
4.272 * [backup-simplify]: Simplify i into i
4.272 * [taylor]: Taking taylor expansion of beta in alpha
4.272 * [backup-simplify]: Simplify beta into beta
4.273 * [backup-simplify]: Simplify (- 0) into 0
4.273 * [backup-simplify]: Simplify (+ beta 0) into beta
4.273 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
4.273 * [backup-simplify]: Simplify (+ (* 2.0 i) beta) into (+ (* 2.0 i) beta)
4.273 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 i) beta)) into (+ (* 2.0 i) beta)
4.273 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
4.273 * [backup-simplify]: Simplify (+ (* 2.0 i) beta) into (+ (* 2.0 i) beta)
4.273 * [backup-simplify]: Simplify (+ 2.0 (+ (* 2.0 i) beta)) into (+ (* 2.0 i) (+ beta 2.0))
4.273 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 i) (+ beta 2.0))) into (+ (* 2.0 i) (+ beta 2.0))
4.273 * [backup-simplify]: Simplify (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0))) into (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))
4.273 * [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))))
4.273 * [taylor]: Taking taylor expansion of (/ (- beta alpha) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta))))) in beta
4.273 * [taylor]: Taking taylor expansion of (- beta alpha) in beta
4.274 * [taylor]: Taking taylor expansion of beta in beta
4.274 * [backup-simplify]: Simplify 0 into 0
4.274 * [backup-simplify]: Simplify 1 into 1
4.274 * [taylor]: Taking taylor expansion of alpha in beta
4.274 * [backup-simplify]: Simplify alpha into alpha
4.274 * [taylor]: Taking taylor expansion of (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta)))) in beta
4.274 * [taylor]: Taking taylor expansion of (+ alpha (+ (* 2.0 i) beta)) in beta
4.274 * [taylor]: Taking taylor expansion of alpha in beta
4.274 * [backup-simplify]: Simplify alpha into alpha
4.274 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
4.274 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
4.274 * [taylor]: Taking taylor expansion of 2.0 in beta
4.274 * [backup-simplify]: Simplify 2.0 into 2.0
4.274 * [taylor]: Taking taylor expansion of i in beta
4.274 * [backup-simplify]: Simplify i into i
4.274 * [taylor]: Taking taylor expansion of beta in beta
4.274 * [backup-simplify]: Simplify 0 into 0
4.274 * [backup-simplify]: Simplify 1 into 1
4.274 * [taylor]: Taking taylor expansion of (+ alpha (+ 2.0 (+ (* 2.0 i) beta))) in beta
4.274 * [taylor]: Taking taylor expansion of alpha in beta
4.274 * [backup-simplify]: Simplify alpha into alpha
4.274 * [taylor]: Taking taylor expansion of (+ 2.0 (+ (* 2.0 i) beta)) in beta
4.274 * [taylor]: Taking taylor expansion of 2.0 in beta
4.274 * [backup-simplify]: Simplify 2.0 into 2.0
4.274 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
4.274 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
4.274 * [taylor]: Taking taylor expansion of 2.0 in beta
4.274 * [backup-simplify]: Simplify 2.0 into 2.0
4.274 * [taylor]: Taking taylor expansion of i in beta
4.274 * [backup-simplify]: Simplify i into i
4.274 * [taylor]: Taking taylor expansion of beta in beta
4.274 * [backup-simplify]: Simplify 0 into 0
4.274 * [backup-simplify]: Simplify 1 into 1
4.274 * [backup-simplify]: Simplify (- alpha) into (- alpha)
4.274 * [backup-simplify]: Simplify (+ 0 (- alpha)) into (- alpha)
4.274 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
4.274 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
4.274 * [backup-simplify]: Simplify (+ alpha (* 2.0 i)) into (+ alpha (* 2.0 i))
4.274 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
4.274 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
4.274 * [backup-simplify]: Simplify (+ 2.0 (* 2.0 i)) into (+ (* 2.0 i) 2.0)
4.274 * [backup-simplify]: Simplify (+ alpha (+ (* 2.0 i) 2.0)) into (+ alpha (+ (* 2.0 i) 2.0))
4.275 * [backup-simplify]: Simplify (* (+ alpha (* 2.0 i)) (+ alpha (+ (* 2.0 i) 2.0))) into (* (+ alpha (+ (* 2.0 i) 2.0)) (+ alpha (* 2.0 i)))
4.275 * [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)))))
4.275 * [taylor]: Taking taylor expansion of (/ (- beta alpha) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta))))) in beta
4.275 * [taylor]: Taking taylor expansion of (- beta alpha) in beta
4.275 * [taylor]: Taking taylor expansion of beta in beta
4.275 * [backup-simplify]: Simplify 0 into 0
4.275 * [backup-simplify]: Simplify 1 into 1
4.275 * [taylor]: Taking taylor expansion of alpha in beta
4.275 * [backup-simplify]: Simplify alpha into alpha
4.275 * [taylor]: Taking taylor expansion of (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta)))) in beta
4.275 * [taylor]: Taking taylor expansion of (+ alpha (+ (* 2.0 i) beta)) in beta
4.275 * [taylor]: Taking taylor expansion of alpha in beta
4.275 * [backup-simplify]: Simplify alpha into alpha
4.275 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
4.275 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
4.275 * [taylor]: Taking taylor expansion of 2.0 in beta
4.275 * [backup-simplify]: Simplify 2.0 into 2.0
4.275 * [taylor]: Taking taylor expansion of i in beta
4.275 * [backup-simplify]: Simplify i into i
4.275 * [taylor]: Taking taylor expansion of beta in beta
4.275 * [backup-simplify]: Simplify 0 into 0
4.275 * [backup-simplify]: Simplify 1 into 1
4.275 * [taylor]: Taking taylor expansion of (+ alpha (+ 2.0 (+ (* 2.0 i) beta))) in beta
4.275 * [taylor]: Taking taylor expansion of alpha in beta
4.275 * [backup-simplify]: Simplify alpha into alpha
4.275 * [taylor]: Taking taylor expansion of (+ 2.0 (+ (* 2.0 i) beta)) in beta
4.275 * [taylor]: Taking taylor expansion of 2.0 in beta
4.275 * [backup-simplify]: Simplify 2.0 into 2.0
4.275 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
4.275 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
4.275 * [taylor]: Taking taylor expansion of 2.0 in beta
4.275 * [backup-simplify]: Simplify 2.0 into 2.0
4.275 * [taylor]: Taking taylor expansion of i in beta
4.275 * [backup-simplify]: Simplify i into i
4.275 * [taylor]: Taking taylor expansion of beta in beta
4.275 * [backup-simplify]: Simplify 0 into 0
4.275 * [backup-simplify]: Simplify 1 into 1
4.275 * [backup-simplify]: Simplify (- alpha) into (- alpha)
4.275 * [backup-simplify]: Simplify (+ 0 (- alpha)) into (- alpha)
4.275 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
4.275 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
4.275 * [backup-simplify]: Simplify (+ alpha (* 2.0 i)) into (+ alpha (* 2.0 i))
4.276 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
4.276 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
4.276 * [backup-simplify]: Simplify (+ 2.0 (* 2.0 i)) into (+ (* 2.0 i) 2.0)
4.276 * [backup-simplify]: Simplify (+ alpha (+ (* 2.0 i) 2.0)) into (+ alpha (+ (* 2.0 i) 2.0))
4.276 * [backup-simplify]: Simplify (* (+ alpha (* 2.0 i)) (+ alpha (+ (* 2.0 i) 2.0))) into (* (+ alpha (+ (* 2.0 i) 2.0)) (+ alpha (* 2.0 i)))
4.276 * [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)))))
4.276 * [taylor]: Taking taylor expansion of (* -1 (/ alpha (* (+ alpha (* 2.0 i)) (+ alpha (+ (* 2.0 i) 2.0))))) in alpha
4.276 * [taylor]: Taking taylor expansion of -1 in alpha
4.276 * [backup-simplify]: Simplify -1 into -1
4.277 * [taylor]: Taking taylor expansion of (/ alpha (* (+ alpha (* 2.0 i)) (+ alpha (+ (* 2.0 i) 2.0)))) 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 * [taylor]: Taking taylor expansion of (* (+ alpha (* 2.0 i)) (+ alpha (+ (* 2.0 i) 2.0))) in alpha
4.277 * [taylor]: Taking taylor expansion of (+ alpha (* 2.0 i)) 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 * [taylor]: Taking taylor expansion of (* 2.0 i) in alpha
4.277 * [taylor]: Taking taylor expansion of 2.0 in alpha
4.277 * [backup-simplify]: Simplify 2.0 into 2.0
4.277 * [taylor]: Taking taylor expansion of i in alpha
4.277 * [backup-simplify]: Simplify i into i
4.277 * [taylor]: Taking taylor expansion of (+ alpha (+ (* 2.0 i) 2.0)) 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 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) 2.0) in alpha
4.277 * [taylor]: Taking taylor expansion of (* 2.0 i) in alpha
4.277 * [taylor]: Taking taylor expansion of 2.0 in alpha
4.277 * [backup-simplify]: Simplify 2.0 into 2.0
4.277 * [taylor]: Taking taylor expansion of i in alpha
4.277 * [backup-simplify]: Simplify i into i
4.277 * [taylor]: Taking taylor expansion of 2.0 in alpha
4.277 * [backup-simplify]: Simplify 2.0 into 2.0
4.277 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
4.277 * [backup-simplify]: Simplify (+ 0 (* 2.0 i)) into (* 2.0 i)
4.277 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
4.277 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
4.278 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 i) 2.0)) into (+ (* 2.0 i) 2.0)
4.278 * [backup-simplify]: Simplify (* (* 2.0 i) (+ (* 2.0 i) 2.0)) into (* 2.0 (* i (+ (* 2.0 i) 2.0)))
4.278 * [backup-simplify]: Simplify (/ 1 (* 2.0 (* i (+ (* 2.0 i) 2.0)))) into (/ 0.5 (* i (+ (* 2.0 i) 2.0)))
4.278 * [backup-simplify]: Simplify (- 0) into 0
4.279 * [backup-simplify]: Simplify (+ 1 0) into 1
4.279 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 i)) into 0
4.280 * [backup-simplify]: Simplify (+ 0 1) into 1
4.280 * [backup-simplify]: Simplify (+ 0 1) into 1
4.280 * [backup-simplify]: Simplify (+ 0 1) into 1
4.280 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 i)) into 0
4.281 * [backup-simplify]: Simplify (+ 0 1) into 1
4.281 * [backup-simplify]: Simplify (+ 0 1) into 1
4.281 * [backup-simplify]: Simplify (+ (* (+ alpha (* 2.0 i)) 1) (* 1 (+ alpha (+ (* 2.0 i) 2.0)))) into (+ (* 2 alpha) (+ (* 4.0 i) 2.0))
4.282 * [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)))))))
4.282 * [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
4.282 * [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
4.282 * [taylor]: Taking taylor expansion of 4.0 in alpha
4.282 * [backup-simplify]: Simplify 4.0 into 4.0
4.282 * [taylor]: Taking taylor expansion of (/ (* alpha i) (* (pow (+ alpha (* 2.0 i)) 2) (pow (+ alpha (+ (* 2.0 i) 2.0)) 2))) in alpha
4.282 * [taylor]: Taking taylor expansion of (* alpha i) in alpha
4.282 * [taylor]: Taking taylor expansion of alpha in alpha
4.282 * [backup-simplify]: Simplify 0 into 0
4.282 * [backup-simplify]: Simplify 1 into 1
4.282 * [taylor]: Taking taylor expansion of i in alpha
4.282 * [backup-simplify]: Simplify i into i
4.282 * [taylor]: Taking taylor expansion of (* (pow (+ alpha (* 2.0 i)) 2) (pow (+ alpha (+ (* 2.0 i) 2.0)) 2)) in alpha
4.282 * [taylor]: Taking taylor expansion of (pow (+ alpha (* 2.0 i)) 2) in alpha
4.282 * [taylor]: Taking taylor expansion of (+ alpha (* 2.0 i)) in alpha
4.282 * [taylor]: Taking taylor expansion of alpha in alpha
4.282 * [backup-simplify]: Simplify 0 into 0
4.282 * [backup-simplify]: Simplify 1 into 1
4.282 * [taylor]: Taking taylor expansion of (* 2.0 i) in alpha
4.282 * [taylor]: Taking taylor expansion of 2.0 in alpha
4.282 * [backup-simplify]: Simplify 2.0 into 2.0
4.282 * [taylor]: Taking taylor expansion of i in alpha
4.282 * [backup-simplify]: Simplify i into i
4.283 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
4.283 * [backup-simplify]: Simplify (+ 0 (* 2.0 i)) into (* 2.0 i)
4.283 * [taylor]: Taking taylor expansion of (pow (+ alpha (+ (* 2.0 i) 2.0)) 2) in alpha
4.283 * [taylor]: Taking taylor expansion of (+ alpha (+ (* 2.0 i) 2.0)) in alpha
4.283 * [taylor]: Taking taylor expansion of alpha in alpha
4.283 * [backup-simplify]: Simplify 0 into 0
4.283 * [backup-simplify]: Simplify 1 into 1
4.283 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) 2.0) in alpha
4.283 * [taylor]: Taking taylor expansion of (* 2.0 i) in alpha
4.283 * [taylor]: Taking taylor expansion of 2.0 in alpha
4.283 * [backup-simplify]: Simplify 2.0 into 2.0
4.283 * [taylor]: Taking taylor expansion of i in alpha
4.283 * [backup-simplify]: Simplify i into i
4.283 * [taylor]: Taking taylor expansion of 2.0 in alpha
4.283 * [backup-simplify]: Simplify 2.0 into 2.0
4.283 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
4.283 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
4.283 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 i) 2.0)) into (+ (* 2.0 i) 2.0)
4.283 * [backup-simplify]: Simplify (* 0 i) into 0
4.283 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 i)) into i
4.283 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
4.283 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
4.284 * [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)))
4.284 * [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)))
4.284 * [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
4.284 * [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
4.284 * [taylor]: Taking taylor expansion of 2 in alpha
4.284 * [backup-simplify]: Simplify 2 into 2
4.284 * [taylor]: Taking taylor expansion of (/ (pow alpha 2) (* (pow (+ alpha (* 2.0 i)) 2) (pow (+ alpha (+ (* 2.0 i) 2.0)) 2))) in alpha
4.284 * [taylor]: Taking taylor expansion of (pow alpha 2) in alpha
4.284 * [taylor]: Taking taylor expansion of alpha in alpha
4.284 * [backup-simplify]: Simplify 0 into 0
4.284 * [backup-simplify]: Simplify 1 into 1
4.284 * [taylor]: Taking taylor expansion of (* (pow (+ alpha (* 2.0 i)) 2) (pow (+ alpha (+ (* 2.0 i) 2.0)) 2)) in alpha
4.284 * [taylor]: Taking taylor expansion of (pow (+ alpha (* 2.0 i)) 2) in alpha
4.284 * [taylor]: Taking taylor expansion of (+ alpha (* 2.0 i)) in alpha
4.284 * [taylor]: Taking taylor expansion of alpha in alpha
4.284 * [backup-simplify]: Simplify 0 into 0
4.284 * [backup-simplify]: Simplify 1 into 1
4.284 * [taylor]: Taking taylor expansion of (* 2.0 i) in alpha
4.284 * [taylor]: Taking taylor expansion of 2.0 in alpha
4.284 * [backup-simplify]: Simplify 2.0 into 2.0
4.284 * [taylor]: Taking taylor expansion of i in alpha
4.284 * [backup-simplify]: Simplify i into i
4.284 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
4.284 * [backup-simplify]: Simplify (+ 0 (* 2.0 i)) into (* 2.0 i)
4.284 * [taylor]: Taking taylor expansion of (pow (+ alpha (+ (* 2.0 i) 2.0)) 2) in alpha
4.284 * [taylor]: Taking taylor expansion of (+ alpha (+ (* 2.0 i) 2.0)) in alpha
4.284 * [taylor]: Taking taylor expansion of alpha in alpha
4.284 * [backup-simplify]: Simplify 0 into 0
4.284 * [backup-simplify]: Simplify 1 into 1
4.284 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) 2.0) in alpha
4.285 * [taylor]: Taking taylor expansion of (* 2.0 i) in alpha
4.285 * [taylor]: Taking taylor expansion of 2.0 in alpha
4.285 * [backup-simplify]: Simplify 2.0 into 2.0
4.285 * [taylor]: Taking taylor expansion of i in alpha
4.285 * [backup-simplify]: Simplify i into i
4.285 * [taylor]: Taking taylor expansion of 2.0 in alpha
4.285 * [backup-simplify]: Simplify 2.0 into 2.0
4.285 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
4.285 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
4.285 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 i) 2.0)) into (+ (* 2.0 i) 2.0)
4.285 * [backup-simplify]: Simplify (* 1 1) into 1
4.285 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
4.285 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
4.285 * [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)))
4.286 * [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)))
4.286 * [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
4.286 * [taylor]: Taking taylor expansion of (* 2.0 (/ alpha (* (pow (+ alpha (* 2.0 i)) 2) (pow (+ alpha (+ (* 2.0 i) 2.0)) 2)))) in alpha
4.286 * [taylor]: Taking taylor expansion of 2.0 in alpha
4.286 * [backup-simplify]: Simplify 2.0 into 2.0
4.286 * [taylor]: Taking taylor expansion of (/ alpha (* (pow (+ alpha (* 2.0 i)) 2) (pow (+ alpha (+ (* 2.0 i) 2.0)) 2))) in alpha
4.286 * [taylor]: Taking taylor expansion of alpha in alpha
4.286 * [backup-simplify]: Simplify 0 into 0
4.286 * [backup-simplify]: Simplify 1 into 1
4.286 * [taylor]: Taking taylor expansion of (* (pow (+ alpha (* 2.0 i)) 2) (pow (+ alpha (+ (* 2.0 i) 2.0)) 2)) in alpha
4.286 * [taylor]: Taking taylor expansion of (pow (+ alpha (* 2.0 i)) 2) in alpha
4.286 * [taylor]: Taking taylor expansion of (+ alpha (* 2.0 i)) in alpha
4.286 * [taylor]: Taking taylor expansion of alpha in alpha
4.286 * [backup-simplify]: Simplify 0 into 0
4.286 * [backup-simplify]: Simplify 1 into 1
4.286 * [taylor]: Taking taylor expansion of (* 2.0 i) in alpha
4.286 * [taylor]: Taking taylor expansion of 2.0 in alpha
4.286 * [backup-simplify]: Simplify 2.0 into 2.0
4.286 * [taylor]: Taking taylor expansion of i in alpha
4.286 * [backup-simplify]: Simplify i into i
4.286 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
4.286 * [backup-simplify]: Simplify (+ 0 (* 2.0 i)) into (* 2.0 i)
4.286 * [taylor]: Taking taylor expansion of (pow (+ alpha (+ (* 2.0 i) 2.0)) 2) in alpha
4.286 * [taylor]: Taking taylor expansion of (+ alpha (+ (* 2.0 i) 2.0)) in alpha
4.286 * [taylor]: Taking taylor expansion of alpha in alpha
4.286 * [backup-simplify]: Simplify 0 into 0
4.286 * [backup-simplify]: Simplify 1 into 1
4.286 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) 2.0) in alpha
4.286 * [taylor]: Taking taylor expansion of (* 2.0 i) in alpha
4.286 * [taylor]: Taking taylor expansion of 2.0 in alpha
4.286 * [backup-simplify]: Simplify 2.0 into 2.0
4.286 * [taylor]: Taking taylor expansion of i in alpha
4.286 * [backup-simplify]: Simplify i into i
4.286 * [taylor]: Taking taylor expansion of 2.0 in alpha
4.286 * [backup-simplify]: Simplify 2.0 into 2.0
4.286 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
4.286 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
4.286 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 i) 2.0)) into (+ (* 2.0 i) 2.0)
4.286 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
4.287 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
4.287 * [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)))
4.287 * [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)))
4.287 * [taylor]: Taking taylor expansion of (/ 1 (* (+ alpha (+ (* 2.0 i) 2.0)) (+ alpha (* 2.0 i)))) in alpha
4.287 * [taylor]: Taking taylor expansion of (* (+ alpha (+ (* 2.0 i) 2.0)) (+ alpha (* 2.0 i))) in alpha
4.287 * [taylor]: Taking taylor expansion of (+ alpha (+ (* 2.0 i) 2.0)) in alpha
4.287 * [taylor]: Taking taylor expansion of alpha in alpha
4.287 * [backup-simplify]: Simplify 0 into 0
4.287 * [backup-simplify]: Simplify 1 into 1
4.287 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) 2.0) in alpha
4.287 * [taylor]: Taking taylor expansion of (* 2.0 i) in alpha
4.287 * [taylor]: Taking taylor expansion of 2.0 in alpha
4.287 * [backup-simplify]: Simplify 2.0 into 2.0
4.287 * [taylor]: Taking taylor expansion of i in alpha
4.287 * [backup-simplify]: Simplify i into i
4.287 * [taylor]: Taking taylor expansion of 2.0 in alpha
4.287 * [backup-simplify]: Simplify 2.0 into 2.0
4.287 * [taylor]: Taking taylor expansion of (+ alpha (* 2.0 i)) in alpha
4.287 * [taylor]: Taking taylor expansion of alpha in alpha
4.287 * [backup-simplify]: Simplify 0 into 0
4.287 * [backup-simplify]: Simplify 1 into 1
4.287 * [taylor]: Taking taylor expansion of (* 2.0 i) in alpha
4.287 * [taylor]: Taking taylor expansion of 2.0 in alpha
4.287 * [backup-simplify]: Simplify 2.0 into 2.0
4.287 * [taylor]: Taking taylor expansion of i in alpha
4.287 * [backup-simplify]: Simplify i into i
4.287 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
4.287 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
4.288 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 i) 2.0)) into (+ (* 2.0 i) 2.0)
4.288 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
4.288 * [backup-simplify]: Simplify (+ 0 (* 2.0 i)) into (* 2.0 i)
4.288 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (* 2.0 i)) into (* 2.0 (* (+ (* 2.0 i) 2.0) i))
4.288 * [backup-simplify]: Simplify (/ 1 (* 2.0 (* (+ (* 2.0 i) 2.0) i))) into (/ 0.5 (* (+ (* 2.0 i) 2.0) i))
4.288 * [backup-simplify]: Simplify (+ 0 (/ 0.5 (* (+ (* 2.0 i) 2.0) i))) into (* 0.5 (/ 1 (* (+ (* 2.0 i) 2.0) i)))
4.288 * [backup-simplify]: Simplify (+ 0 (* 0.5 (/ 1 (* (+ (* 2.0 i) 2.0) i)))) into (* 0.5 (/ 1 (* (+ (* 2.0 i) 2.0) i)))
4.288 * [backup-simplify]: Simplify (+ 0 (* 0.5 (/ 1 (* (+ (* 2.0 i) 2.0) i)))) into (* 0.5 (/ 1 (* (+ (* 2.0 i) 2.0) i)))
4.288 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (* (+ (* 2.0 i) 2.0) i))) in i
4.288 * [taylor]: Taking taylor expansion of 0.5 in i
4.288 * [backup-simplify]: Simplify 0.5 into 0.5
4.288 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (* 2.0 i) 2.0) i)) in i
4.288 * [taylor]: Taking taylor expansion of (* (+ (* 2.0 i) 2.0) i) in i
4.288 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) 2.0) in i
4.288 * [taylor]: Taking taylor expansion of (* 2.0 i) in i
4.288 * [taylor]: Taking taylor expansion of 2.0 in i
4.288 * [backup-simplify]: Simplify 2.0 into 2.0
4.288 * [taylor]: Taking taylor expansion of i in i
4.288 * [backup-simplify]: Simplify 0 into 0
4.288 * [backup-simplify]: Simplify 1 into 1
4.288 * [taylor]: Taking taylor expansion of 2.0 in i
4.288 * [backup-simplify]: Simplify 2.0 into 2.0
4.288 * [taylor]: Taking taylor expansion of i in i
4.288 * [backup-simplify]: Simplify 0 into 0
4.288 * [backup-simplify]: Simplify 1 into 1
4.289 * [backup-simplify]: Simplify (* 2.0 0) into 0
4.289 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
4.289 * [backup-simplify]: Simplify (* 2.0 0) into 0
4.290 * [backup-simplify]: Simplify (+ (* 2.0 1) (* 0 0)) into 2.0
4.290 * [backup-simplify]: Simplify (+ 2.0 0) into 2.0
4.291 * [backup-simplify]: Simplify (+ (* 2.0 1) (* 2.0 0)) into 2.0
4.292 * [backup-simplify]: Simplify (/ 1 2.0) into 0.5
4.292 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 1) (* 0 0))) into 0
4.292 * [backup-simplify]: Simplify (+ 0 0) into 0
4.294 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 2.0 1) (* 0 0))) into 2.0
4.295 * [backup-simplify]: Simplify (- (+ (* 0.5 (/ 2.0 2.0)))) into (- 0.5)
4.297 * [backup-simplify]: Simplify (+ (* 0.5 (- 0.5)) (* 0 0.5)) into (- 0.25)
4.297 * [backup-simplify]: Simplify (- 0.25) into (- 0.25)
4.297 * [backup-simplify]: Simplify (* -1 (/ 0.5 (* i (+ (* 2.0 i) 2.0)))) into (/ -0.5 (* i (+ (* 2.0 i) 2.0)))
4.297 * [taylor]: Taking taylor expansion of (/ -0.5 (* i (+ (* 2.0 i) 2.0))) in i
4.297 * [taylor]: Taking taylor expansion of -0.5 in i
4.297 * [backup-simplify]: Simplify -0.5 into -0.5
4.297 * [taylor]: Taking taylor expansion of (* i (+ (* 2.0 i) 2.0)) in i
4.297 * [taylor]: Taking taylor expansion of i in i
4.297 * [backup-simplify]: Simplify 0 into 0
4.297 * [backup-simplify]: Simplify 1 into 1
4.297 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) 2.0) in i
4.297 * [taylor]: Taking taylor expansion of (* 2.0 i) in i
4.297 * [taylor]: Taking taylor expansion of 2.0 in i
4.297 * [backup-simplify]: Simplify 2.0 into 2.0
4.297 * [taylor]: Taking taylor expansion of i in i
4.297 * [backup-simplify]: Simplify 0 into 0
4.297 * [backup-simplify]: Simplify 1 into 1
4.297 * [taylor]: Taking taylor expansion of 2.0 in i
4.297 * [backup-simplify]: Simplify 2.0 into 2.0
4.297 * [backup-simplify]: Simplify (* 2.0 0) into 0
4.298 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
4.298 * [backup-simplify]: Simplify (* 0 2.0) into 0
4.299 * [backup-simplify]: Simplify (+ (* 2.0 1) (* 0 0)) into 2.0
4.299 * [backup-simplify]: Simplify (+ 2.0 0) into 2.0
4.300 * [backup-simplify]: Simplify (+ (* 0 2.0) (* 1 2.0)) into 2.0
4.300 * [backup-simplify]: Simplify (/ -0.5 2.0) into -0.25
4.301 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 1) (* 0 0))) into 0
4.301 * [backup-simplify]: Simplify (+ 0 0) into 0
4.303 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 2.0) (* 0 2.0))) into 2.0
4.304 * [backup-simplify]: Simplify (- (/ 0 2.0) (+ (* -0.25 (/ 2.0 2.0)))) into 0.25
4.304 * [backup-simplify]: Simplify 0.25 into 0.25
4.305 * [backup-simplify]: Simplify (- 0) into 0
4.305 * [backup-simplify]: Simplify (+ 0 0) into 0
4.305 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 i))) into 0
4.306 * [backup-simplify]: Simplify (+ 0 0) into 0
4.306 * [backup-simplify]: Simplify (+ 0 0) into 0
4.306 * [backup-simplify]: Simplify (+ 0 0) into 0
4.307 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 i))) into 0
4.307 * [backup-simplify]: Simplify (+ 0 0) into 0
4.307 * [backup-simplify]: Simplify (+ 0 0) into 0
4.307 * [backup-simplify]: Simplify (+ (* (+ alpha (* 2.0 i)) 0) (+ (* 1 1) (* 0 (+ alpha (+ (* 2.0 i) 2.0))))) into 1
4.311 * [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)))))))))))))
4.311 * [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
4.311 * [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
4.311 * [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
4.311 * [taylor]: Taking taylor expansion of 16.0 in alpha
4.311 * [backup-simplify]: Simplify 16.0 into 16.0
4.311 * [taylor]: Taking taylor expansion of (/ (* alpha i) (* (pow (+ alpha (* 2.0 i)) 3) (pow (+ alpha (+ (* 2.0 i) 2.0)) 3))) in alpha
4.311 * [taylor]: Taking taylor expansion of (* alpha i) in alpha
4.311 * [taylor]: Taking taylor expansion of alpha in alpha
4.311 * [backup-simplify]: Simplify 0 into 0
4.311 * [backup-simplify]: Simplify 1 into 1
4.311 * [taylor]: Taking taylor expansion of i in alpha
4.311 * [backup-simplify]: Simplify i into i
4.311 * [taylor]: Taking taylor expansion of (* (pow (+ alpha (* 2.0 i)) 3) (pow (+ alpha (+ (* 2.0 i) 2.0)) 3)) in alpha
4.311 * [taylor]: Taking taylor expansion of (pow (+ alpha (* 2.0 i)) 3) in alpha
4.312 * [taylor]: Taking taylor expansion of (+ alpha (* 2.0 i)) in alpha
4.312 * [taylor]: Taking taylor expansion of alpha in alpha
4.312 * [backup-simplify]: Simplify 0 into 0
4.312 * [backup-simplify]: Simplify 1 into 1
4.312 * [taylor]: Taking taylor expansion of (* 2.0 i) in alpha
4.312 * [taylor]: Taking taylor expansion of 2.0 in alpha
4.312 * [backup-simplify]: Simplify 2.0 into 2.0
4.312 * [taylor]: Taking taylor expansion of i in alpha
4.312 * [backup-simplify]: Simplify i into i
4.312 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
4.312 * [backup-simplify]: Simplify (+ 0 (* 2.0 i)) into (* 2.0 i)
4.312 * [taylor]: Taking taylor expansion of (pow (+ alpha (+ (* 2.0 i) 2.0)) 3) in alpha
4.312 * [taylor]: Taking taylor expansion of (+ alpha (+ (* 2.0 i) 2.0)) in alpha
4.312 * [taylor]: Taking taylor expansion of alpha in alpha
4.312 * [backup-simplify]: Simplify 0 into 0
4.312 * [backup-simplify]: Simplify 1 into 1
4.312 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) 2.0) in alpha
4.312 * [taylor]: Taking taylor expansion of (* 2.0 i) in alpha
4.312 * [taylor]: Taking taylor expansion of 2.0 in alpha
4.312 * [backup-simplify]: Simplify 2.0 into 2.0
4.312 * [taylor]: Taking taylor expansion of i in alpha
4.312 * [backup-simplify]: Simplify i into i
4.312 * [taylor]: Taking taylor expansion of 2.0 in alpha
4.312 * [backup-simplify]: Simplify 2.0 into 2.0
4.312 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
4.312 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
4.312 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 i) 2.0)) into (+ (* 2.0 i) 2.0)
4.312 * [backup-simplify]: Simplify (* 0 i) into 0
4.312 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 i)) into i
4.313 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
4.313 * [backup-simplify]: Simplify (* (* 2.0 i) (* 4.0 (pow i 2))) into (* 8.0 (pow i 3))
4.313 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
4.313 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (pow (+ (* 2.0 i) 2.0) 2)) into (pow (+ (* 2.0 i) 2.0) 3)
4.313 * [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)))
4.313 * [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)))
4.313 * [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
4.313 * [taylor]: Taking taylor expansion of (* 4.0 (/ i (* (pow (+ alpha (+ (* 2.0 i) 2.0)) 2) (pow (+ alpha (* 2.0 i)) 2)))) in alpha
4.313 * [taylor]: Taking taylor expansion of 4.0 in alpha
4.313 * [backup-simplify]: Simplify 4.0 into 4.0
4.313 * [taylor]: Taking taylor expansion of (/ i (* (pow (+ alpha (+ (* 2.0 i) 2.0)) 2) (pow (+ alpha (* 2.0 i)) 2))) in alpha
4.313 * [taylor]: Taking taylor expansion of i in alpha
4.314 * [backup-simplify]: Simplify i into i
4.314 * [taylor]: Taking taylor expansion of (* (pow (+ alpha (+ (* 2.0 i) 2.0)) 2) (pow (+ alpha (* 2.0 i)) 2)) in alpha
4.314 * [taylor]: Taking taylor expansion of (pow (+ alpha (+ (* 2.0 i) 2.0)) 2) in alpha
4.314 * [taylor]: Taking taylor expansion of (+ alpha (+ (* 2.0 i) 2.0)) in alpha
4.314 * [taylor]: Taking taylor expansion of alpha in alpha
4.314 * [backup-simplify]: Simplify 0 into 0
4.314 * [backup-simplify]: Simplify 1 into 1
4.314 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) 2.0) in alpha
4.314 * [taylor]: Taking taylor expansion of (* 2.0 i) in alpha
4.314 * [taylor]: Taking taylor expansion of 2.0 in alpha
4.314 * [backup-simplify]: Simplify 2.0 into 2.0
4.314 * [taylor]: Taking taylor expansion of i in alpha
4.314 * [backup-simplify]: Simplify i into i
4.314 * [taylor]: Taking taylor expansion of 2.0 in alpha
4.314 * [backup-simplify]: Simplify 2.0 into 2.0
4.314 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
4.314 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
4.314 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 i) 2.0)) into (+ (* 2.0 i) 2.0)
4.314 * [taylor]: Taking taylor expansion of (pow (+ alpha (* 2.0 i)) 2) in alpha
4.314 * [taylor]: Taking taylor expansion of (+ alpha (* 2.0 i)) in alpha
4.314 * [taylor]: Taking taylor expansion of alpha in alpha
4.314 * [backup-simplify]: Simplify 0 into 0
4.314 * [backup-simplify]: Simplify 1 into 1
4.314 * [taylor]: Taking taylor expansion of (* 2.0 i) in alpha
4.314 * [taylor]: Taking taylor expansion of 2.0 in alpha
4.314 * [backup-simplify]: Simplify 2.0 into 2.0
4.314 * [taylor]: Taking taylor expansion of i in alpha
4.314 * [backup-simplify]: Simplify i into i
4.314 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
4.314 * [backup-simplify]: Simplify (+ 0 (* 2.0 i)) into (* 2.0 i)
4.314 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
4.314 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
4.314 * [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)))
4.315 * [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)))
4.315 * [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
4.315 * [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
4.315 * [taylor]: Taking taylor expansion of 4 in alpha
4.315 * [backup-simplify]: Simplify 4 into 4
4.315 * [taylor]: Taking taylor expansion of (/ (pow alpha 3) (* (pow (+ alpha (* 2.0 i)) 3) (pow (+ alpha (+ (* 2.0 i) 2.0)) 3))) in alpha
4.315 * [taylor]: Taking taylor expansion of (pow alpha 3) in alpha
4.315 * [taylor]: Taking taylor expansion of alpha in alpha
4.315 * [backup-simplify]: Simplify 0 into 0
4.315 * [backup-simplify]: Simplify 1 into 1
4.315 * [taylor]: Taking taylor expansion of (* (pow (+ alpha (* 2.0 i)) 3) (pow (+ alpha (+ (* 2.0 i) 2.0)) 3)) in alpha
4.315 * [taylor]: Taking taylor expansion of (pow (+ alpha (* 2.0 i)) 3) in alpha
4.315 * [taylor]: Taking taylor expansion of (+ alpha (* 2.0 i)) in alpha
4.315 * [taylor]: Taking taylor expansion of alpha in alpha
4.315 * [backup-simplify]: Simplify 0 into 0
4.315 * [backup-simplify]: Simplify 1 into 1
4.315 * [taylor]: Taking taylor expansion of (* 2.0 i) in alpha
4.315 * [taylor]: Taking taylor expansion of 2.0 in alpha
4.315 * [backup-simplify]: Simplify 2.0 into 2.0
4.315 * [taylor]: Taking taylor expansion of i in alpha
4.315 * [backup-simplify]: Simplify i into i
4.315 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
4.315 * [backup-simplify]: Simplify (+ 0 (* 2.0 i)) into (* 2.0 i)
4.315 * [taylor]: Taking taylor expansion of (pow (+ alpha (+ (* 2.0 i) 2.0)) 3) in alpha
4.315 * [taylor]: Taking taylor expansion of (+ alpha (+ (* 2.0 i) 2.0)) in alpha
4.315 * [taylor]: Taking taylor expansion of alpha in alpha
4.315 * [backup-simplify]: Simplify 0 into 0
4.315 * [backup-simplify]: Simplify 1 into 1
4.315 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) 2.0) in alpha
4.315 * [taylor]: Taking taylor expansion of (* 2.0 i) in alpha
4.315 * [taylor]: Taking taylor expansion of 2.0 in alpha
4.315 * [backup-simplify]: Simplify 2.0 into 2.0
4.315 * [taylor]: Taking taylor expansion of i in alpha
4.315 * [backup-simplify]: Simplify i into i
4.315 * [taylor]: Taking taylor expansion of 2.0 in alpha
4.315 * [backup-simplify]: Simplify 2.0 into 2.0
4.315 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
4.315 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
4.316 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 i) 2.0)) into (+ (* 2.0 i) 2.0)
4.319 * [backup-simplify]: Simplify (* 1 1) into 1
4.319 * [backup-simplify]: Simplify (* 1 1) into 1
4.319 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
4.320 * [backup-simplify]: Simplify (* (* 2.0 i) (* 4.0 (pow i 2))) into (* 8.0 (pow i 3))
4.320 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
4.320 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (pow (+ (* 2.0 i) 2.0) 2)) into (pow (+ (* 2.0 i) 2.0) 3)
4.320 * [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)))
4.320 * [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)))
4.320 * [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
4.320 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* (pow (+ alpha (+ (* 2.0 i) 2.0)) 2) (pow (+ alpha (* 2.0 i)) 2)))) in alpha
4.320 * [taylor]: Taking taylor expansion of 2.0 in alpha
4.320 * [backup-simplify]: Simplify 2.0 into 2.0
4.321 * [taylor]: Taking taylor expansion of (/ 1 (* (pow (+ alpha (+ (* 2.0 i) 2.0)) 2) (pow (+ alpha (* 2.0 i)) 2))) in alpha
4.321 * [taylor]: Taking taylor expansion of (* (pow (+ alpha (+ (* 2.0 i) 2.0)) 2) (pow (+ alpha (* 2.0 i)) 2)) in alpha
4.321 * [taylor]: Taking taylor expansion of (pow (+ alpha (+ (* 2.0 i) 2.0)) 2) in alpha
4.321 * [taylor]: Taking taylor expansion of (+ alpha (+ (* 2.0 i) 2.0)) in alpha
4.321 * [taylor]: Taking taylor expansion of alpha in alpha
4.321 * [backup-simplify]: Simplify 0 into 0
4.321 * [backup-simplify]: Simplify 1 into 1
4.321 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) 2.0) in alpha
4.321 * [taylor]: Taking taylor expansion of (* 2.0 i) in alpha
4.321 * [taylor]: Taking taylor expansion of 2.0 in alpha
4.321 * [backup-simplify]: Simplify 2.0 into 2.0
4.321 * [taylor]: Taking taylor expansion of i in alpha
4.321 * [backup-simplify]: Simplify i into i
4.321 * [taylor]: Taking taylor expansion of 2.0 in alpha
4.321 * [backup-simplify]: Simplify 2.0 into 2.0
4.321 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
4.321 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
4.321 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 i) 2.0)) into (+ (* 2.0 i) 2.0)
4.321 * [taylor]: Taking taylor expansion of (pow (+ alpha (* 2.0 i)) 2) in alpha
4.321 * [taylor]: Taking taylor expansion of (+ alpha (* 2.0 i)) in alpha
4.321 * [taylor]: Taking taylor expansion of alpha in alpha
4.321 * [backup-simplify]: Simplify 0 into 0
4.321 * [backup-simplify]: Simplify 1 into 1
4.321 * [taylor]: Taking taylor expansion of (* 2.0 i) in alpha
4.321 * [taylor]: Taking taylor expansion of 2.0 in alpha
4.321 * [backup-simplify]: Simplify 2.0 into 2.0
4.321 * [taylor]: Taking taylor expansion of i in alpha
4.321 * [backup-simplify]: Simplify i into i
4.321 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
4.321 * [backup-simplify]: Simplify (+ 0 (* 2.0 i)) into (* 2.0 i)
4.321 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
4.321 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
4.322 * [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)))
4.322 * [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)))
4.322 * [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
4.322 * [taylor]: Taking taylor expansion of (* 4.0 (/ alpha (* (pow (+ alpha (* 2.0 i)) 3) (pow (+ alpha (+ (* 2.0 i) 2.0)) 3)))) in alpha
4.322 * [taylor]: Taking taylor expansion of 4.0 in alpha
4.322 * [backup-simplify]: Simplify 4.0 into 4.0
4.322 * [taylor]: Taking taylor expansion of (/ alpha (* (pow (+ alpha (* 2.0 i)) 3) (pow (+ alpha (+ (* 2.0 i) 2.0)) 3))) in alpha
4.322 * [taylor]: Taking taylor expansion of alpha in alpha
4.322 * [backup-simplify]: Simplify 0 into 0
4.322 * [backup-simplify]: Simplify 1 into 1
4.322 * [taylor]: Taking taylor expansion of (* (pow (+ alpha (* 2.0 i)) 3) (pow (+ alpha (+ (* 2.0 i) 2.0)) 3)) in alpha
4.322 * [taylor]: Taking taylor expansion of (pow (+ alpha (* 2.0 i)) 3) in alpha
4.322 * [taylor]: Taking taylor expansion of (+ alpha (* 2.0 i)) in alpha
4.322 * [taylor]: Taking taylor expansion of alpha in alpha
4.322 * [backup-simplify]: Simplify 0 into 0
4.322 * [backup-simplify]: Simplify 1 into 1
4.322 * [taylor]: Taking taylor expansion of (* 2.0 i) in alpha
4.322 * [taylor]: Taking taylor expansion of 2.0 in alpha
4.322 * [backup-simplify]: Simplify 2.0 into 2.0
4.322 * [taylor]: Taking taylor expansion of i in alpha
4.322 * [backup-simplify]: Simplify i into i
4.322 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
4.322 * [backup-simplify]: Simplify (+ 0 (* 2.0 i)) into (* 2.0 i)
4.322 * [taylor]: Taking taylor expansion of (pow (+ alpha (+ (* 2.0 i) 2.0)) 3) in alpha
4.322 * [taylor]: Taking taylor expansion of (+ alpha (+ (* 2.0 i) 2.0)) in alpha
4.322 * [taylor]: Taking taylor expansion of alpha in alpha
4.322 * [backup-simplify]: Simplify 0 into 0
4.322 * [backup-simplify]: Simplify 1 into 1
4.322 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) 2.0) in alpha
4.322 * [taylor]: Taking taylor expansion of (* 2.0 i) in alpha
4.322 * [taylor]: Taking taylor expansion of 2.0 in alpha
4.322 * [backup-simplify]: Simplify 2.0 into 2.0
4.322 * [taylor]: Taking taylor expansion of i in alpha
4.322 * [backup-simplify]: Simplify i into i
4.322 * [taylor]: Taking taylor expansion of 2.0 in alpha
4.322 * [backup-simplify]: Simplify 2.0 into 2.0
4.322 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
4.322 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
4.323 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 i) 2.0)) into (+ (* 2.0 i) 2.0)
4.323 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
4.323 * [backup-simplify]: Simplify (* (* 2.0 i) (* 4.0 (pow i 2))) into (* 8.0 (pow i 3))
4.323 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
4.323 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (pow (+ (* 2.0 i) 2.0) 2)) into (pow (+ (* 2.0 i) 2.0) 3)
4.323 * [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)))
4.323 * [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)))
4.323 * [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
4.323 * [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
4.323 * [taylor]: Taking taylor expansion of 8.0 in alpha
4.323 * [backup-simplify]: Simplify 8.0 into 8.0
4.324 * [taylor]: Taking taylor expansion of (/ (pow alpha 2) (* (pow (+ alpha (* 2.0 i)) 3) (pow (+ alpha (+ (* 2.0 i) 2.0)) 3))) in alpha
4.324 * [taylor]: Taking taylor expansion of (pow alpha 2) in alpha
4.324 * [taylor]: Taking taylor expansion of alpha in alpha
4.324 * [backup-simplify]: Simplify 0 into 0
4.324 * [backup-simplify]: Simplify 1 into 1
4.324 * [taylor]: Taking taylor expansion of (* (pow (+ alpha (* 2.0 i)) 3) (pow (+ alpha (+ (* 2.0 i) 2.0)) 3)) in alpha
4.324 * [taylor]: Taking taylor expansion of (pow (+ alpha (* 2.0 i)) 3) in alpha
4.324 * [taylor]: Taking taylor expansion of (+ alpha (* 2.0 i)) in alpha
4.324 * [taylor]: Taking taylor expansion of alpha in alpha
4.324 * [backup-simplify]: Simplify 0 into 0
4.324 * [backup-simplify]: Simplify 1 into 1
4.324 * [taylor]: Taking taylor expansion of (* 2.0 i) in alpha
4.324 * [taylor]: Taking taylor expansion of 2.0 in alpha
4.324 * [backup-simplify]: Simplify 2.0 into 2.0
4.324 * [taylor]: Taking taylor expansion of i in alpha
4.324 * [backup-simplify]: Simplify i into i
4.324 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
4.324 * [backup-simplify]: Simplify (+ 0 (* 2.0 i)) into (* 2.0 i)
4.324 * [taylor]: Taking taylor expansion of (pow (+ alpha (+ (* 2.0 i) 2.0)) 3) in alpha
4.324 * [taylor]: Taking taylor expansion of (+ alpha (+ (* 2.0 i) 2.0)) in alpha
4.324 * [taylor]: Taking taylor expansion of alpha in alpha
4.324 * [backup-simplify]: Simplify 0 into 0
4.324 * [backup-simplify]: Simplify 1 into 1
4.324 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) 2.0) in alpha
4.324 * [taylor]: Taking taylor expansion of (* 2.0 i) in alpha
4.324 * [taylor]: Taking taylor expansion of 2.0 in alpha
4.324 * [backup-simplify]: Simplify 2.0 into 2.0
4.324 * [taylor]: Taking taylor expansion of i in alpha
4.324 * [backup-simplify]: Simplify i into i
4.324 * [taylor]: Taking taylor expansion of 2.0 in alpha
4.324 * [backup-simplify]: Simplify 2.0 into 2.0
4.324 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
4.324 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
4.324 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 i) 2.0)) into (+ (* 2.0 i) 2.0)
4.325 * [backup-simplify]: Simplify (* 1 1) into 1
4.325 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
4.325 * [backup-simplify]: Simplify (* (* 2.0 i) (* 4.0 (pow i 2))) into (* 8.0 (pow i 3))
4.325 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
4.325 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (pow (+ (* 2.0 i) 2.0) 2)) into (pow (+ (* 2.0 i) 2.0) 3)
4.325 * [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)))
4.325 * [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)))
4.325 * [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
4.325 * [taylor]: Taking taylor expansion of (/ alpha (* (pow (+ alpha (* 2.0 i)) 2) (pow (+ alpha (+ (* 2.0 i) 2.0)) 2))) in alpha
4.325 * [taylor]: Taking taylor expansion of alpha in alpha
4.325 * [backup-simplify]: Simplify 0 into 0
4.325 * [backup-simplify]: Simplify 1 into 1
4.326 * [taylor]: Taking taylor expansion of (* (pow (+ alpha (* 2.0 i)) 2) (pow (+ alpha (+ (* 2.0 i) 2.0)) 2)) in alpha
4.326 * [taylor]: Taking taylor expansion of (pow (+ alpha (* 2.0 i)) 2) in alpha
4.326 * [taylor]: Taking taylor expansion of (+ alpha (* 2.0 i)) in alpha
4.326 * [taylor]: Taking taylor expansion of alpha in alpha
4.326 * [backup-simplify]: Simplify 0 into 0
4.326 * [backup-simplify]: Simplify 1 into 1
4.326 * [taylor]: Taking taylor expansion of (* 2.0 i) in alpha
4.326 * [taylor]: Taking taylor expansion of 2.0 in alpha
4.326 * [backup-simplify]: Simplify 2.0 into 2.0
4.326 * [taylor]: Taking taylor expansion of i in alpha
4.326 * [backup-simplify]: Simplify i into i
4.326 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
4.326 * [backup-simplify]: Simplify (+ 0 (* 2.0 i)) into (* 2.0 i)
4.326 * [taylor]: Taking taylor expansion of (pow (+ alpha (+ (* 2.0 i) 2.0)) 2) in alpha
4.326 * [taylor]: Taking taylor expansion of (+ alpha (+ (* 2.0 i) 2.0)) in alpha
4.326 * [taylor]: Taking taylor expansion of alpha in alpha
4.326 * [backup-simplify]: Simplify 0 into 0
4.326 * [backup-simplify]: Simplify 1 into 1
4.326 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) 2.0) in alpha
4.326 * [taylor]: Taking taylor expansion of (* 2.0 i) in alpha
4.326 * [taylor]: Taking taylor expansion of 2.0 in alpha
4.326 * [backup-simplify]: Simplify 2.0 into 2.0
4.326 * [taylor]: Taking taylor expansion of i in alpha
4.326 * [backup-simplify]: Simplify i into i
4.326 * [taylor]: Taking taylor expansion of 2.0 in alpha
4.326 * [backup-simplify]: Simplify 2.0 into 2.0
4.326 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
4.326 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
4.326 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 i) 2.0)) into (+ (* 2.0 i) 2.0)
4.326 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
4.326 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
4.326 * [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)))
4.327 * [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)))
4.327 * [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
4.327 * [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
4.327 * [taylor]: Taking taylor expansion of 16.0 in alpha
4.327 * [backup-simplify]: Simplify 16.0 into 16.0
4.327 * [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
4.327 * [taylor]: Taking taylor expansion of (* alpha (pow i 2)) in alpha
4.327 * [taylor]: Taking taylor expansion of alpha in alpha
4.327 * [backup-simplify]: Simplify 0 into 0
4.327 * [backup-simplify]: Simplify 1 into 1
4.327 * [taylor]: Taking taylor expansion of (pow i 2) in alpha
4.327 * [taylor]: Taking taylor expansion of i in alpha
4.327 * [backup-simplify]: Simplify i into i
4.327 * [taylor]: Taking taylor expansion of (* (pow (+ alpha (* 2.0 i)) 3) (pow (+ alpha (+ (* 2.0 i) 2.0)) 3)) in alpha
4.327 * [taylor]: Taking taylor expansion of (pow (+ alpha (* 2.0 i)) 3) in alpha
4.327 * [taylor]: Taking taylor expansion of (+ alpha (* 2.0 i)) in alpha
4.327 * [taylor]: Taking taylor expansion of alpha in alpha
4.327 * [backup-simplify]: Simplify 0 into 0
4.327 * [backup-simplify]: Simplify 1 into 1
4.327 * [taylor]: Taking taylor expansion of (* 2.0 i) in alpha
4.327 * [taylor]: Taking taylor expansion of 2.0 in alpha
4.327 * [backup-simplify]: Simplify 2.0 into 2.0
4.327 * [taylor]: Taking taylor expansion of i in alpha
4.327 * [backup-simplify]: Simplify i into i
4.327 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
4.327 * [backup-simplify]: Simplify (+ 0 (* 2.0 i)) into (* 2.0 i)
4.327 * [taylor]: Taking taylor expansion of (pow (+ alpha (+ (* 2.0 i) 2.0)) 3) in alpha
4.327 * [taylor]: Taking taylor expansion of (+ alpha (+ (* 2.0 i) 2.0)) in alpha
4.327 * [taylor]: Taking taylor expansion of alpha in alpha
4.327 * [backup-simplify]: Simplify 0 into 0
4.327 * [backup-simplify]: Simplify 1 into 1
4.327 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) 2.0) in alpha
4.327 * [taylor]: Taking taylor expansion of (* 2.0 i) in alpha
4.327 * [taylor]: Taking taylor expansion of 2.0 in alpha
4.327 * [backup-simplify]: Simplify 2.0 into 2.0
4.327 * [taylor]: Taking taylor expansion of i in alpha
4.327 * [backup-simplify]: Simplify i into i
4.327 * [taylor]: Taking taylor expansion of 2.0 in alpha
4.327 * [backup-simplify]: Simplify 2.0 into 2.0
4.327 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
4.328 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
4.328 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 i) 2.0)) into (+ (* 2.0 i) 2.0)
4.328 * [backup-simplify]: Simplify (* i i) into (pow i 2)
4.328 * [backup-simplify]: Simplify (* 0 (pow i 2)) into 0
4.328 * [backup-simplify]: Simplify (+ (* i 0) (* 0 i)) into 0
4.328 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (pow i 2))) into (pow i 2)
4.328 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
4.328 * [backup-simplify]: Simplify (* (* 2.0 i) (* 4.0 (pow i 2))) into (* 8.0 (pow i 3))
4.328 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
4.329 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (pow (+ (* 2.0 i) 2.0) 2)) into (pow (+ (* 2.0 i) 2.0) 3)
4.329 * [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)))
4.329 * [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)))
4.329 * [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
4.329 * [taylor]: Taking taylor expansion of 16.0 in alpha
4.329 * [backup-simplify]: Simplify 16.0 into 16.0
4.329 * [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
4.329 * [taylor]: Taking taylor expansion of (* (pow alpha 2) i) in alpha
4.329 * [taylor]: Taking taylor expansion of (pow alpha 2) in alpha
4.329 * [taylor]: Taking taylor expansion of alpha in alpha
4.329 * [backup-simplify]: Simplify 0 into 0
4.329 * [backup-simplify]: Simplify 1 into 1
4.329 * [taylor]: Taking taylor expansion of i in alpha
4.329 * [backup-simplify]: Simplify i into i
4.329 * [taylor]: Taking taylor expansion of (* (pow (+ alpha (* 2.0 i)) 3) (pow (+ alpha (+ (* 2.0 i) 2.0)) 3)) in alpha
4.329 * [taylor]: Taking taylor expansion of (pow (+ alpha (* 2.0 i)) 3) in alpha
4.329 * [taylor]: Taking taylor expansion of (+ alpha (* 2.0 i)) in alpha
4.329 * [taylor]: Taking taylor expansion of alpha in alpha
4.329 * [backup-simplify]: Simplify 0 into 0
4.329 * [backup-simplify]: Simplify 1 into 1
4.329 * [taylor]: Taking taylor expansion of (* 2.0 i) in alpha
4.329 * [taylor]: Taking taylor expansion of 2.0 in alpha
4.329 * [backup-simplify]: Simplify 2.0 into 2.0
4.329 * [taylor]: Taking taylor expansion of i in alpha
4.329 * [backup-simplify]: Simplify i into i
4.329 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
4.330 * [backup-simplify]: Simplify (+ 0 (* 2.0 i)) into (* 2.0 i)
4.330 * [taylor]: Taking taylor expansion of (pow (+ alpha (+ (* 2.0 i) 2.0)) 3) in alpha
4.330 * [taylor]: Taking taylor expansion of (+ alpha (+ (* 2.0 i) 2.0)) in alpha
4.330 * [taylor]: Taking taylor expansion of alpha in alpha
4.330 * [backup-simplify]: Simplify 0 into 0
4.330 * [backup-simplify]: Simplify 1 into 1
4.330 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) 2.0) in alpha
4.330 * [taylor]: Taking taylor expansion of (* 2.0 i) in alpha
4.330 * [taylor]: Taking taylor expansion of 2.0 in alpha
4.330 * [backup-simplify]: Simplify 2.0 into 2.0
4.330 * [taylor]: Taking taylor expansion of i in alpha
4.330 * [backup-simplify]: Simplify i into i
4.330 * [taylor]: Taking taylor expansion of 2.0 in alpha
4.330 * [backup-simplify]: Simplify 2.0 into 2.0
4.330 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
4.330 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
4.330 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 i) 2.0)) into (+ (* 2.0 i) 2.0)
4.330 * [backup-simplify]: Simplify (* 1 1) into 1
4.330 * [backup-simplify]: Simplify (* 1 i) into i
4.330 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
4.330 * [backup-simplify]: Simplify (* (* 2.0 i) (* 4.0 (pow i 2))) into (* 8.0 (pow i 3))
4.331 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
4.331 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (pow (+ (* 2.0 i) 2.0) 2)) into (pow (+ (* 2.0 i) 2.0) 3)
4.331 * [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)))
4.331 * [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)))
4.331 * [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)))
4.331 * [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)))
4.332 * [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))))
4.332 * [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))))
4.332 * [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)))))
4.333 * [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)))))
4.333 * [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))))))
4.333 * [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
4.333 * [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
4.333 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (* i (pow (+ (* 2.0 i) 2.0) 2)))) in i
4.333 * [taylor]: Taking taylor expansion of 1.0 in i
4.333 * [backup-simplify]: Simplify 1.0 into 1.0
4.333 * [taylor]: Taking taylor expansion of (/ 1 (* i (pow (+ (* 2.0 i) 2.0) 2))) in i
4.334 * [taylor]: Taking taylor expansion of (* i (pow (+ (* 2.0 i) 2.0) 2)) in i
4.334 * [taylor]: Taking taylor expansion of i in i
4.334 * [backup-simplify]: Simplify 0 into 0
4.334 * [backup-simplify]: Simplify 1 into 1
4.334 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) 2.0) 2) in i
4.334 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) 2.0) in i
4.334 * [taylor]: Taking taylor expansion of (* 2.0 i) in i
4.334 * [taylor]: Taking taylor expansion of 2.0 in i
4.334 * [backup-simplify]: Simplify 2.0 into 2.0
4.334 * [taylor]: Taking taylor expansion of i in i
4.334 * [backup-simplify]: Simplify 0 into 0
4.334 * [backup-simplify]: Simplify 1 into 1
4.334 * [taylor]: Taking taylor expansion of 2.0 in i
4.334 * [backup-simplify]: Simplify 2.0 into 2.0
4.334 * [backup-simplify]: Simplify (* 2.0 0) into 0
4.334 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
4.335 * [backup-simplify]: Simplify (* 2.0 2.0) into 4.0
4.335 * [backup-simplify]: Simplify (* 0 4.0) into 0
4.336 * [backup-simplify]: Simplify (+ (* 2.0 1) (* 0 0)) into 2.0
4.336 * [backup-simplify]: Simplify (+ 2.0 0) into 2.0
4.337 * [backup-simplify]: Simplify (+ (* 2.0 2.0) (* 2.0 2.0)) into 8.0
4.338 * [backup-simplify]: Simplify (+ (* 0 8.0) (* 1 4.0)) into 4.0
4.338 * [backup-simplify]: Simplify (/ 1 4.0) into 0.25
4.338 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (* (pow (+ (* 2.0 i) 2.0) 2) (pow i 2)))) in i
4.338 * [taylor]: Taking taylor expansion of 0.5 in i
4.338 * [backup-simplify]: Simplify 0.5 into 0.5
4.338 * [taylor]: Taking taylor expansion of (/ 1 (* (pow (+ (* 2.0 i) 2.0) 2) (pow i 2))) in i
4.338 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) 2.0) 2) (pow i 2)) in i
4.338 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) 2.0) 2) in i
4.338 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) 2.0) in i
4.338 * [taylor]: Taking taylor expansion of (* 2.0 i) in i
4.338 * [taylor]: Taking taylor expansion of 2.0 in i
4.338 * [backup-simplify]: Simplify 2.0 into 2.0
4.338 * [taylor]: Taking taylor expansion of i in i
4.338 * [backup-simplify]: Simplify 0 into 0
4.338 * [backup-simplify]: Simplify 1 into 1
4.338 * [taylor]: Taking taylor expansion of 2.0 in i
4.338 * [backup-simplify]: Simplify 2.0 into 2.0
4.338 * [backup-simplify]: Simplify (* 2.0 0) into 0
4.339 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
4.339 * [taylor]: Taking taylor expansion of (pow i 2) in i
4.339 * [taylor]: Taking taylor expansion of i in i
4.339 * [backup-simplify]: Simplify 0 into 0
4.339 * [backup-simplify]: Simplify 1 into 1
4.339 * [backup-simplify]: Simplify (* 2.0 2.0) into 4.0
4.339 * [backup-simplify]: Simplify (* 1 1) into 1
4.340 * [backup-simplify]: Simplify (* 4.0 1) into 4.0
4.340 * [backup-simplify]: Simplify (/ 1 4.0) into 0.25
4.340 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 1) (* 0 0))) into 0
4.341 * [backup-simplify]: Simplify (+ 0 0) into 0
4.342 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 2.0 2.0) (* 0 2.0))) into 4.0
4.344 * [backup-simplify]: Simplify (+ (* 0 4.0) (+ (* 1 8.0) (* 0 4.0))) into 8.0
4.345 * [backup-simplify]: Simplify (- (+ (* 0.25 (/ 8.0 4.0)))) into (- 0.5)
4.347 * [backup-simplify]: Simplify (+ (* 1.0 (- 0.5)) (* 0 0.25)) into (- 0.5)
4.347 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.348 * [backup-simplify]: Simplify (+ (* 2.0 1) (* 0 0)) into 2.0
4.348 * [backup-simplify]: Simplify (+ 2.0 0) into 2.0
4.349 * [backup-simplify]: Simplify (+ (* 2.0 2.0) (* 2.0 2.0)) into 8.0
4.349 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.350 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 1) (* 0 0))) into 0
4.350 * [backup-simplify]: Simplify (+ 0 0) into 0
4.352 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 2.0 2.0) (* 0 2.0))) into 4.0
4.353 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 8.0 0) (* 4.0 1))) into 4.0
4.354 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 8.0 1)) into 8.0
4.356 * [backup-simplify]: Simplify (- (+ (* 0.25 (/ 8.0 4.0)))) into (- 0.5)
4.358 * [backup-simplify]: Simplify (- (+ (* 0.25 (/ 4.0 4.0)) (* (- 0.5) (/ 8.0 4.0)))) into 0.75
4.360 * [backup-simplify]: Simplify (+ (* 0.5 0.75) (+ (* 0 (- 0.5)) (* 0 0.25))) into 0.375
4.360 * [backup-simplify]: Simplify (+ (- 0.5) 0.375) into (- 0.125)
4.361 * [backup-simplify]: Simplify (- (- 0.125)) into 0.125
4.361 * [backup-simplify]: Simplify 0.125 into 0.125
4.361 * [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))
4.362 * [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)))))
4.362 * [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
4.362 * [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
4.362 * [taylor]: Taking taylor expansion of (- (/ 1 beta) (/ 1 alpha)) in i
4.362 * [taylor]: Taking taylor expansion of (/ 1 beta) in i
4.362 * [taylor]: Taking taylor expansion of beta in i
4.362 * [backup-simplify]: Simplify beta into beta
4.362 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
4.362 * [taylor]: Taking taylor expansion of (/ 1 alpha) in i
4.362 * [taylor]: Taking taylor expansion of alpha in i
4.362 * [backup-simplify]: Simplify alpha into alpha
4.362 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
4.362 * [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
4.362 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) in i
4.362 * [taylor]: Taking taylor expansion of (/ 1 alpha) in i
4.362 * [taylor]: Taking taylor expansion of alpha in i
4.362 * [backup-simplify]: Simplify alpha into alpha
4.362 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
4.362 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0)) in i
4.362 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in i
4.362 * [taylor]: Taking taylor expansion of 2.0 in i
4.362 * [backup-simplify]: Simplify 2.0 into 2.0
4.362 * [taylor]: Taking taylor expansion of (/ 1 i) in i
4.362 * [taylor]: Taking taylor expansion of i in i
4.362 * [backup-simplify]: Simplify 0 into 0
4.362 * [backup-simplify]: Simplify 1 into 1
4.363 * [backup-simplify]: Simplify (/ 1 1) into 1
4.363 * [taylor]: Taking taylor expansion of (+ (/ 1 beta) 2.0) in i
4.363 * [taylor]: Taking taylor expansion of (/ 1 beta) in i
4.363 * [taylor]: Taking taylor expansion of beta in i
4.363 * [backup-simplify]: Simplify beta into beta
4.363 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
4.363 * [taylor]: Taking taylor expansion of 2.0 in i
4.363 * [backup-simplify]: Simplify 2.0 into 2.0
4.363 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in i
4.363 * [taylor]: Taking taylor expansion of (/ 1 alpha) in i
4.363 * [taylor]: Taking taylor expansion of alpha in i
4.363 * [backup-simplify]: Simplify alpha into alpha
4.363 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
4.363 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in i
4.363 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in i
4.363 * [taylor]: Taking taylor expansion of 2.0 in i
4.363 * [backup-simplify]: Simplify 2.0 into 2.0
4.363 * [taylor]: Taking taylor expansion of (/ 1 i) in i
4.363 * [taylor]: Taking taylor expansion of i in i
4.363 * [backup-simplify]: Simplify 0 into 0
4.363 * [backup-simplify]: Simplify 1 into 1
4.363 * [backup-simplify]: Simplify (/ 1 1) into 1
4.363 * [taylor]: Taking taylor expansion of (/ 1 beta) in i
4.363 * [taylor]: Taking taylor expansion of beta in i
4.363 * [backup-simplify]: Simplify beta into beta
4.363 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
4.363 * [backup-simplify]: Simplify (- (/ 1 alpha)) into (- (/ 1 alpha))
4.364 * [backup-simplify]: Simplify (+ (/ 1 beta) (- (/ 1 alpha))) into (- (/ 1 beta) (/ 1 alpha))
4.364 * [backup-simplify]: Simplify (* 2.0 1) into 2.0
4.364 * [backup-simplify]: Simplify (+ 2.0 0) into 2.0
4.364 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
4.365 * [backup-simplify]: Simplify (* 2.0 1) into 2.0
4.365 * [backup-simplify]: Simplify (+ 2.0 0) into 2.0
4.365 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
4.366 * [backup-simplify]: Simplify (* 2.0 2.0) into 4.0
4.366 * [backup-simplify]: Simplify (/ (- (/ 1 beta) (/ 1 alpha)) 4.0) into (* 0.25 (- (/ 1 beta) (/ 1 alpha)))
4.366 * [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
4.366 * [taylor]: Taking taylor expansion of (- (/ 1 beta) (/ 1 alpha)) in alpha
4.366 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
4.366 * [taylor]: Taking taylor expansion of beta in alpha
4.366 * [backup-simplify]: Simplify beta into beta
4.366 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
4.366 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
4.366 * [taylor]: Taking taylor expansion of alpha in alpha
4.366 * [backup-simplify]: Simplify 0 into 0
4.366 * [backup-simplify]: Simplify 1 into 1
4.366 * [backup-simplify]: Simplify (/ 1 1) into 1
4.366 * [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
4.366 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) in alpha
4.366 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
4.366 * [taylor]: Taking taylor expansion of alpha in alpha
4.366 * [backup-simplify]: Simplify 0 into 0
4.366 * [backup-simplify]: Simplify 1 into 1
4.366 * [backup-simplify]: Simplify (/ 1 1) into 1
4.366 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0)) in alpha
4.366 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
4.367 * [taylor]: Taking taylor expansion of 2.0 in alpha
4.367 * [backup-simplify]: Simplify 2.0 into 2.0
4.367 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
4.367 * [taylor]: Taking taylor expansion of i in alpha
4.367 * [backup-simplify]: Simplify i into i
4.367 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
4.367 * [taylor]: Taking taylor expansion of (+ (/ 1 beta) 2.0) in alpha
4.367 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
4.367 * [taylor]: Taking taylor expansion of beta in alpha
4.367 * [backup-simplify]: Simplify beta into beta
4.367 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
4.367 * [taylor]: Taking taylor expansion of 2.0 in alpha
4.367 * [backup-simplify]: Simplify 2.0 into 2.0
4.367 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in alpha
4.367 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
4.367 * [taylor]: Taking taylor expansion of alpha in alpha
4.367 * [backup-simplify]: Simplify 0 into 0
4.367 * [backup-simplify]: Simplify 1 into 1
4.367 * [backup-simplify]: Simplify (/ 1 1) into 1
4.367 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in alpha
4.367 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
4.367 * [taylor]: Taking taylor expansion of 2.0 in alpha
4.367 * [backup-simplify]: Simplify 2.0 into 2.0
4.367 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
4.367 * [taylor]: Taking taylor expansion of i in alpha
4.367 * [backup-simplify]: Simplify i into i
4.367 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
4.367 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
4.367 * [taylor]: Taking taylor expansion of beta in alpha
4.367 * [backup-simplify]: Simplify beta into beta
4.367 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
4.368 * [backup-simplify]: Simplify (- 1) into -1
4.368 * [backup-simplify]: Simplify (+ 0 -1) into -1
4.368 * [backup-simplify]: Simplify (+ 1 0) into 1
4.368 * [backup-simplify]: Simplify (+ 1 0) into 1
4.369 * [backup-simplify]: Simplify (* 1 1) into 1
4.369 * [backup-simplify]: Simplify (/ -1 1) into -1
4.369 * [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
4.369 * [taylor]: Taking taylor expansion of (- (/ 1 beta) (/ 1 alpha)) in beta
4.369 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
4.369 * [taylor]: Taking taylor expansion of beta in beta
4.369 * [backup-simplify]: Simplify 0 into 0
4.369 * [backup-simplify]: Simplify 1 into 1
4.369 * [backup-simplify]: Simplify (/ 1 1) into 1
4.369 * [taylor]: Taking taylor expansion of (/ 1 alpha) in beta
4.369 * [taylor]: Taking taylor expansion of alpha in beta
4.369 * [backup-simplify]: Simplify alpha into alpha
4.369 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
4.369 * [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
4.369 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) in beta
4.369 * [taylor]: Taking taylor expansion of (/ 1 alpha) in beta
4.369 * [taylor]: Taking taylor expansion of alpha in beta
4.369 * [backup-simplify]: Simplify alpha into alpha
4.369 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
4.369 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0)) in beta
4.369 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in beta
4.369 * [taylor]: Taking taylor expansion of 2.0 in beta
4.370 * [backup-simplify]: Simplify 2.0 into 2.0
4.370 * [taylor]: Taking taylor expansion of (/ 1 i) in beta
4.370 * [taylor]: Taking taylor expansion of i in beta
4.370 * [backup-simplify]: Simplify i into i
4.370 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
4.370 * [taylor]: Taking taylor expansion of (+ (/ 1 beta) 2.0) in beta
4.370 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
4.370 * [taylor]: Taking taylor expansion of beta in beta
4.370 * [backup-simplify]: Simplify 0 into 0
4.370 * [backup-simplify]: Simplify 1 into 1
4.370 * [backup-simplify]: Simplify (/ 1 1) into 1
4.370 * [taylor]: Taking taylor expansion of 2.0 in beta
4.370 * [backup-simplify]: Simplify 2.0 into 2.0
4.370 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in beta
4.370 * [taylor]: Taking taylor expansion of (/ 1 alpha) in beta
4.370 * [taylor]: Taking taylor expansion of alpha in beta
4.370 * [backup-simplify]: Simplify alpha into alpha
4.370 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
4.370 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in beta
4.370 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in beta
4.370 * [taylor]: Taking taylor expansion of 2.0 in beta
4.370 * [backup-simplify]: Simplify 2.0 into 2.0
4.370 * [taylor]: Taking taylor expansion of (/ 1 i) in beta
4.370 * [taylor]: Taking taylor expansion of i in beta
4.370 * [backup-simplify]: Simplify i into i
4.370 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
4.370 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
4.370 * [taylor]: Taking taylor expansion of beta in beta
4.370 * [backup-simplify]: Simplify 0 into 0
4.370 * [backup-simplify]: Simplify 1 into 1
4.371 * [backup-simplify]: Simplify (/ 1 1) into 1
4.371 * [backup-simplify]: Simplify (+ 1 0) into 1
4.371 * [backup-simplify]: Simplify (+ 1 0) into 1
4.371 * [backup-simplify]: Simplify (+ 0 1) into 1
4.372 * [backup-simplify]: Simplify (+ 0 1) into 1
4.372 * [backup-simplify]: Simplify (+ 0 1) into 1
4.372 * [backup-simplify]: Simplify (+ 0 1) into 1
4.372 * [backup-simplify]: Simplify (* 1 1) into 1
4.373 * [backup-simplify]: Simplify (/ 1 1) into 1
4.373 * [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
4.373 * [taylor]: Taking taylor expansion of (- (/ 1 beta) (/ 1 alpha)) in beta
4.373 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
4.373 * [taylor]: Taking taylor expansion of beta in beta
4.373 * [backup-simplify]: Simplify 0 into 0
4.373 * [backup-simplify]: Simplify 1 into 1
4.373 * [backup-simplify]: Simplify (/ 1 1) into 1
4.373 * [taylor]: Taking taylor expansion of (/ 1 alpha) in beta
4.373 * [taylor]: Taking taylor expansion of alpha in beta
4.373 * [backup-simplify]: Simplify alpha into alpha
4.373 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
4.373 * [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
4.373 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) in beta
4.373 * [taylor]: Taking taylor expansion of (/ 1 alpha) in beta
4.373 * [taylor]: Taking taylor expansion of alpha in beta
4.373 * [backup-simplify]: Simplify alpha into alpha
4.373 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
4.373 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0)) in beta
4.373 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in beta
4.373 * [taylor]: Taking taylor expansion of 2.0 in beta
4.373 * [backup-simplify]: Simplify 2.0 into 2.0
4.373 * [taylor]: Taking taylor expansion of (/ 1 i) in beta
4.373 * [taylor]: Taking taylor expansion of i in beta
4.373 * [backup-simplify]: Simplify i into i
4.373 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
4.373 * [taylor]: Taking taylor expansion of (+ (/ 1 beta) 2.0) in beta
4.373 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
4.373 * [taylor]: Taking taylor expansion of beta in beta
4.373 * [backup-simplify]: Simplify 0 into 0
4.373 * [backup-simplify]: Simplify 1 into 1
4.374 * [backup-simplify]: Simplify (/ 1 1) into 1
4.374 * [taylor]: Taking taylor expansion of 2.0 in beta
4.374 * [backup-simplify]: Simplify 2.0 into 2.0
4.374 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in beta
4.374 * [taylor]: Taking taylor expansion of (/ 1 alpha) in beta
4.374 * [taylor]: Taking taylor expansion of alpha in beta
4.374 * [backup-simplify]: Simplify alpha into alpha
4.374 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
4.374 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in beta
4.374 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in beta
4.374 * [taylor]: Taking taylor expansion of 2.0 in beta
4.374 * [backup-simplify]: Simplify 2.0 into 2.0
4.374 * [taylor]: Taking taylor expansion of (/ 1 i) in beta
4.374 * [taylor]: Taking taylor expansion of i in beta
4.374 * [backup-simplify]: Simplify i into i
4.374 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
4.374 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
4.374 * [taylor]: Taking taylor expansion of beta in beta
4.374 * [backup-simplify]: Simplify 0 into 0
4.374 * [backup-simplify]: Simplify 1 into 1
4.374 * [backup-simplify]: Simplify (/ 1 1) into 1
4.374 * [backup-simplify]: Simplify (+ 1 0) into 1
4.375 * [backup-simplify]: Simplify (+ 1 0) into 1
4.375 * [backup-simplify]: Simplify (+ 0 1) into 1
4.375 * [backup-simplify]: Simplify (+ 0 1) into 1
4.376 * [backup-simplify]: Simplify (+ 0 1) into 1
4.376 * [backup-simplify]: Simplify (+ 0 1) into 1
4.376 * [backup-simplify]: Simplify (* 1 1) into 1
4.376 * [backup-simplify]: Simplify (/ 1 1) into 1
4.376 * [taylor]: Taking taylor expansion of 1 in alpha
4.376 * [backup-simplify]: Simplify 1 into 1
4.376 * [taylor]: Taking taylor expansion of 0 in i
4.376 * [backup-simplify]: Simplify 0 into 0
4.376 * [backup-simplify]: Simplify 0 into 0
4.377 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.377 * [backup-simplify]: Simplify (- (/ 1 alpha)) into (- (/ 1 alpha))
4.377 * [backup-simplify]: Simplify (+ 0 (- (/ 1 alpha))) into (- (/ 1 alpha))
4.377 * [backup-simplify]: Simplify (* 2.0 (/ 1 i)) into (/ 2.0 i)
4.378 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.378 * [backup-simplify]: Simplify (+ (/ 2.0 i) 0) into (* 2.0 (/ 1 i))
4.378 * [backup-simplify]: Simplify (+ (/ 1 alpha) (* 2.0 (/ 1 i))) into (+ (/ 1 alpha) (* 2.0 (/ 1 i)))
4.378 * [backup-simplify]: Simplify (* 2.0 (/ 1 i)) into (/ 2.0 i)
4.378 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.379 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
4.379 * [backup-simplify]: Simplify (+ (/ 2.0 i) 2.0) into (+ (* 2.0 (/ 1 i)) 2.0)
4.379 * [backup-simplify]: Simplify (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) 2.0)) into (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) 2.0))
4.379 * [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))
4.379 * [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)))
4.379 * [taylor]: Taking taylor expansion of (- (+ (* 3 (/ 1 alpha)) (+ (* 4.0 (/ 1 i)) 2.0))) in alpha
4.379 * [taylor]: Taking taylor expansion of (+ (* 3 (/ 1 alpha)) (+ (* 4.0 (/ 1 i)) 2.0)) in alpha
4.379 * [taylor]: Taking taylor expansion of (* 3 (/ 1 alpha)) in alpha
4.379 * [taylor]: Taking taylor expansion of 3 in alpha
4.380 * [backup-simplify]: Simplify 3 into 3
4.380 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
4.380 * [taylor]: Taking taylor expansion of alpha in alpha
4.380 * [backup-simplify]: Simplify 0 into 0
4.380 * [backup-simplify]: Simplify 1 into 1
4.380 * [backup-simplify]: Simplify (/ 1 1) into 1
4.380 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 i)) 2.0) in alpha
4.380 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 i)) in alpha
4.380 * [taylor]: Taking taylor expansion of 4.0 in alpha
4.380 * [backup-simplify]: Simplify 4.0 into 4.0
4.380 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
4.380 * [taylor]: Taking taylor expansion of i in alpha
4.380 * [backup-simplify]: Simplify i into i
4.380 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
4.380 * [taylor]: Taking taylor expansion of 2.0 in alpha
4.380 * [backup-simplify]: Simplify 2.0 into 2.0
4.380 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.381 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.382 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 1))) into 0
4.382 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
4.382 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 i))) into 0
4.382 * [backup-simplify]: Simplify (+ 0 0) into 0
4.382 * [backup-simplify]: Simplify (+ 0 0) into 0
4.383 * [backup-simplify]: Simplify (- 0) into 0
4.383 * [taylor]: Taking taylor expansion of 0 in i
4.383 * [backup-simplify]: Simplify 0 into 0
4.383 * [backup-simplify]: Simplify 0 into 0
4.383 * [taylor]: Taking taylor expansion of 0 in i
4.383 * [backup-simplify]: Simplify 0 into 0
4.383 * [backup-simplify]: Simplify 0 into 0
4.383 * [backup-simplify]: Simplify 0 into 0
4.383 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.383 * [backup-simplify]: Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)))) into 0
4.384 * [backup-simplify]: Simplify (- 0) into 0
4.384 * [backup-simplify]: Simplify (+ 0 0) into 0
4.384 * [backup-simplify]: Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)))) into 0
4.384 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
4.384 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 (/ 1 i))) into 0
4.385 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.385 * [backup-simplify]: Simplify (+ 0 0) into 0
4.385 * [backup-simplify]: Simplify (+ 0 0) into 0
4.385 * [backup-simplify]: Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)))) into 0
4.385 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
4.386 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 (/ 1 i))) into 0
4.386 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.387 * [backup-simplify]: Simplify (+ 0 0) into 0
4.387 * [backup-simplify]: Simplify (+ 0 0) into 0
4.387 * [backup-simplify]: Simplify (+ 0 0) into 0
4.388 * [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))))))
4.389 * [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)))))
4.390 * [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
4.390 * [taylor]: Taking taylor expansion of (* 8.0 (/ 1 alpha)) in alpha
4.390 * [taylor]: Taking taylor expansion of 8.0 in alpha
4.390 * [backup-simplify]: Simplify 8.0 into 8.0
4.390 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
4.390 * [taylor]: Taking taylor expansion of alpha in alpha
4.390 * [backup-simplify]: Simplify 0 into 0
4.390 * [backup-simplify]: Simplify 1 into 1
4.390 * [backup-simplify]: Simplify (/ 1 1) into 1
4.390 * [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
4.390 * [taylor]: Taking taylor expansion of (* 16.0 (/ 1 (* alpha i))) in alpha
4.390 * [taylor]: Taking taylor expansion of 16.0 in alpha
4.390 * [backup-simplify]: Simplify 16.0 into 16.0
4.390 * [taylor]: Taking taylor expansion of (/ 1 (* alpha i)) in alpha
4.390 * [taylor]: Taking taylor expansion of (* alpha i) in alpha
4.390 * [taylor]: Taking taylor expansion of alpha in alpha
4.390 * [backup-simplify]: Simplify 0 into 0
4.390 * [backup-simplify]: Simplify 1 into 1
4.390 * [taylor]: Taking taylor expansion of i in alpha
4.390 * [backup-simplify]: Simplify i into i
4.390 * [backup-simplify]: Simplify (* 0 i) into 0
4.390 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 i)) into i
4.390 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
4.390 * [taylor]: Taking taylor expansion of (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 12.0 (/ 1 i)) (+ (* 5 (/ 1 (pow alpha 2))) 4.0))) in alpha
4.391 * [taylor]: Taking taylor expansion of (* 12.0 (/ 1 (pow i 2))) in alpha
4.391 * [taylor]: Taking taylor expansion of 12.0 in alpha
4.391 * [backup-simplify]: Simplify 12.0 into 12.0
4.391 * [taylor]: Taking taylor expansion of (/ 1 (pow i 2)) in alpha
4.391 * [taylor]: Taking taylor expansion of (pow i 2) in alpha
4.391 * [taylor]: Taking taylor expansion of i in alpha
4.391 * [backup-simplify]: Simplify i into i
4.391 * [backup-simplify]: Simplify (* i i) into (pow i 2)
4.391 * [backup-simplify]: Simplify (/ 1 (pow i 2)) into (/ 1 (pow i 2))
4.391 * [taylor]: Taking taylor expansion of (+ (* 12.0 (/ 1 i)) (+ (* 5 (/ 1 (pow alpha 2))) 4.0)) in alpha
4.391 * [taylor]: Taking taylor expansion of (* 12.0 (/ 1 i)) in alpha
4.391 * [taylor]: Taking taylor expansion of 12.0 in alpha
4.391 * [backup-simplify]: Simplify 12.0 into 12.0
4.391 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
4.391 * [taylor]: Taking taylor expansion of i in alpha
4.391 * [backup-simplify]: Simplify i into i
4.391 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
4.391 * [taylor]: Taking taylor expansion of (+ (* 5 (/ 1 (pow alpha 2))) 4.0) in alpha
4.391 * [taylor]: Taking taylor expansion of (* 5 (/ 1 (pow alpha 2))) in alpha
4.391 * [taylor]: Taking taylor expansion of 5 in alpha
4.391 * [backup-simplify]: Simplify 5 into 5
4.391 * [taylor]: Taking taylor expansion of (/ 1 (pow alpha 2)) in alpha
4.391 * [taylor]: Taking taylor expansion of (pow alpha 2) in alpha
4.391 * [taylor]: Taking taylor expansion of alpha in alpha
4.391 * [backup-simplify]: Simplify 0 into 0
4.391 * [backup-simplify]: Simplify 1 into 1
4.391 * [backup-simplify]: Simplify (* 1 1) into 1
4.392 * [backup-simplify]: Simplify (/ 1 1) into 1
4.392 * [taylor]: Taking taylor expansion of 4.0 in alpha
4.392 * [backup-simplify]: Simplify 4.0 into 4.0
4.392 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.393 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.393 * [backup-simplify]: Simplify (+ (* 8.0 0) (+ (* 0 0) (* 0 1))) into 0
4.394 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 i)))) into 0
4.394 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 i))) into 0
4.394 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
4.395 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)) (* 0 (/ 0 i)))) into 0
4.395 * [backup-simplify]: Simplify (+ (* 16.0 0) (+ (* 0 0) (* 0 (/ 1 i)))) into 0
4.395 * [backup-simplify]: Simplify (+ (* i 0) (* 0 i)) into 0
4.395 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow i 2)) (/ 0 (pow i 2))))) into 0
4.396 * [backup-simplify]: Simplify (+ (* 12.0 0) (* 0 (/ 1 (pow i 2)))) into 0
4.396 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
4.397 * [backup-simplify]: Simplify (+ (* 12.0 0) (* 0 (/ 1 i))) into 0
4.397 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.398 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.399 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.399 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.400 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.401 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.402 * [backup-simplify]: Simplify (+ (* 5 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.402 * [backup-simplify]: Simplify (+ 0 0) into 0
4.403 * [backup-simplify]: Simplify (+ 0 0) into 0
4.403 * [backup-simplify]: Simplify (+ 0 0) into 0
4.403 * [backup-simplify]: Simplify (+ 0 0) into 0
4.404 * [backup-simplify]: Simplify (+ 0 0) into 0
4.404 * [taylor]: Taking taylor expansion of 0 in i
4.404 * [backup-simplify]: Simplify 0 into 0
4.404 * [backup-simplify]: Simplify 0 into 0
4.404 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.405 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.406 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)) (* 0 (/ 0 i)))) into 0
4.406 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 (/ 1 i)))) into 0
4.407 * [backup-simplify]: Simplify (+ 0 0) into 0
4.407 * [backup-simplify]: Simplify (+ 0 0) into 0
4.407 * [backup-simplify]: Simplify (- 0) into 0
4.407 * [taylor]: Taking taylor expansion of 0 in i
4.407 * [backup-simplify]: Simplify 0 into 0
4.407 * [backup-simplify]: Simplify 0 into 0
4.407 * [backup-simplify]: Simplify 0 into 0
4.408 * [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))))))
4.408 * [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
4.408 * [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
4.408 * [taylor]: Taking taylor expansion of -1 in i
4.408 * [backup-simplify]: Simplify -1 into -1
4.408 * [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
4.408 * [taylor]: Taking taylor expansion of (- (/ 1 alpha) (/ 1 beta)) in i
4.408 * [taylor]: Taking taylor expansion of (/ 1 alpha) in i
4.409 * [taylor]: Taking taylor expansion of alpha in i
4.409 * [backup-simplify]: Simplify alpha into alpha
4.409 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
4.409 * [taylor]: Taking taylor expansion of (/ 1 beta) in i
4.409 * [taylor]: Taking taylor expansion of beta in i
4.409 * [backup-simplify]: Simplify beta into beta
4.409 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
4.409 * [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
4.409 * [taylor]: Taking taylor expansion of (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) in i
4.409 * [taylor]: Taking taylor expansion of 2.0 in i
4.409 * [backup-simplify]: Simplify 2.0 into 2.0
4.409 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in i
4.409 * [taylor]: Taking taylor expansion of (/ 1 alpha) in i
4.409 * [taylor]: Taking taylor expansion of alpha in i
4.409 * [backup-simplify]: Simplify alpha into alpha
4.409 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
4.409 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in i
4.409 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in i
4.409 * [taylor]: Taking taylor expansion of 2.0 in i
4.409 * [backup-simplify]: Simplify 2.0 into 2.0
4.409 * [taylor]: Taking taylor expansion of (/ 1 i) in i
4.409 * [taylor]: Taking taylor expansion of i in i
4.409 * [backup-simplify]: Simplify 0 into 0
4.409 * [backup-simplify]: Simplify 1 into 1
4.410 * [backup-simplify]: Simplify (/ 1 1) into 1
4.410 * [taylor]: Taking taylor expansion of (/ 1 beta) in i
4.410 * [taylor]: Taking taylor expansion of beta in i
4.410 * [backup-simplify]: Simplify beta into beta
4.410 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
4.410 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in i
4.410 * [taylor]: Taking taylor expansion of (/ 1 alpha) in i
4.410 * [taylor]: Taking taylor expansion of alpha in i
4.410 * [backup-simplify]: Simplify alpha into alpha
4.410 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
4.410 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in i
4.410 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in i
4.410 * [taylor]: Taking taylor expansion of 2.0 in i
4.410 * [backup-simplify]: Simplify 2.0 into 2.0
4.410 * [taylor]: Taking taylor expansion of (/ 1 i) in i
4.410 * [taylor]: Taking taylor expansion of i in i
4.410 * [backup-simplify]: Simplify 0 into 0
4.410 * [backup-simplify]: Simplify 1 into 1
4.410 * [backup-simplify]: Simplify (/ 1 1) into 1
4.410 * [taylor]: Taking taylor expansion of (/ 1 beta) in i
4.410 * [taylor]: Taking taylor expansion of beta in i
4.411 * [backup-simplify]: Simplify beta into beta
4.411 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
4.411 * [backup-simplify]: Simplify (- (/ 1 beta)) into (- (/ 1 beta))
4.411 * [backup-simplify]: Simplify (+ (/ 1 alpha) (- (/ 1 beta))) into (- (/ 1 alpha) (/ 1 beta))
4.411 * [backup-simplify]: Simplify (* 2.0 1) into 2.0
4.412 * [backup-simplify]: Simplify (+ 2.0 0) into 2.0
4.412 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
4.412 * [backup-simplify]: Simplify (- 2.0) into (- 2.0)
4.413 * [backup-simplify]: Simplify (+ 0 (- 2.0)) into (- 2.0)
4.414 * [backup-simplify]: Simplify (* 2.0 1) into 2.0
4.414 * [backup-simplify]: Simplify (+ 2.0 0) into 2.0
4.414 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
4.415 * [backup-simplify]: Simplify (* (- 2.0) 2.0) into -4.0
4.415 * [backup-simplify]: Simplify (/ (- (/ 1 alpha) (/ 1 beta)) -4.0) into (* -0.25 (- (/ 1 alpha) (/ 1 beta)))
4.415 * [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
4.415 * [taylor]: Taking taylor expansion of -1 in alpha
4.415 * [backup-simplify]: Simplify -1 into -1
4.415 * [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
4.415 * [taylor]: Taking taylor expansion of (- (/ 1 alpha) (/ 1 beta)) in alpha
4.415 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
4.415 * [taylor]: Taking taylor expansion of alpha in alpha
4.415 * [backup-simplify]: Simplify 0 into 0
4.415 * [backup-simplify]: Simplify 1 into 1
4.416 * [backup-simplify]: Simplify (/ 1 1) into 1
4.416 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
4.416 * [taylor]: Taking taylor expansion of beta in alpha
4.416 * [backup-simplify]: Simplify beta into beta
4.416 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
4.416 * [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
4.416 * [taylor]: Taking taylor expansion of (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) in alpha
4.416 * [taylor]: Taking taylor expansion of 2.0 in alpha
4.416 * [backup-simplify]: Simplify 2.0 into 2.0
4.416 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in alpha
4.416 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
4.416 * [taylor]: Taking taylor expansion of alpha in alpha
4.416 * [backup-simplify]: Simplify 0 into 0
4.416 * [backup-simplify]: Simplify 1 into 1
4.420 * [backup-simplify]: Simplify (/ 1 1) into 1
4.420 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in alpha
4.420 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
4.420 * [taylor]: Taking taylor expansion of 2.0 in alpha
4.420 * [backup-simplify]: Simplify 2.0 into 2.0
4.420 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
4.420 * [taylor]: Taking taylor expansion of i in alpha
4.420 * [backup-simplify]: Simplify i into i
4.420 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
4.420 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
4.420 * [taylor]: Taking taylor expansion of beta in alpha
4.420 * [backup-simplify]: Simplify beta into beta
4.420 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
4.420 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in alpha
4.421 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
4.421 * [taylor]: Taking taylor expansion of alpha in alpha
4.421 * [backup-simplify]: Simplify 0 into 0
4.421 * [backup-simplify]: Simplify 1 into 1
4.421 * [backup-simplify]: Simplify (/ 1 1) into 1
4.421 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in alpha
4.421 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
4.421 * [taylor]: Taking taylor expansion of 2.0 in alpha
4.421 * [backup-simplify]: Simplify 2.0 into 2.0
4.421 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
4.421 * [taylor]: Taking taylor expansion of i in alpha
4.421 * [backup-simplify]: Simplify i into i
4.421 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
4.421 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
4.421 * [taylor]: Taking taylor expansion of beta in alpha
4.421 * [backup-simplify]: Simplify beta into beta
4.421 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
4.422 * [backup-simplify]: Simplify (+ 1 0) into 1
4.422 * [backup-simplify]: Simplify (+ 1 0) into 1
4.423 * [backup-simplify]: Simplify (- 1) into -1
4.423 * [backup-simplify]: Simplify (+ 0 -1) into -1
4.423 * [backup-simplify]: Simplify (+ 1 0) into 1
4.424 * [backup-simplify]: Simplify (* -1 1) into -1
4.424 * [backup-simplify]: Simplify (/ 1 -1) into -1
4.424 * [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
4.424 * [taylor]: Taking taylor expansion of -1 in beta
4.424 * [backup-simplify]: Simplify -1 into -1
4.424 * [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
4.424 * [taylor]: Taking taylor expansion of (- (/ 1 alpha) (/ 1 beta)) in beta
4.424 * [taylor]: Taking taylor expansion of (/ 1 alpha) in beta
4.424 * [taylor]: Taking taylor expansion of alpha in beta
4.424 * [backup-simplify]: Simplify alpha into alpha
4.424 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
4.424 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
4.424 * [taylor]: Taking taylor expansion of beta in beta
4.425 * [backup-simplify]: Simplify 0 into 0
4.425 * [backup-simplify]: Simplify 1 into 1
4.425 * [backup-simplify]: Simplify (/ 1 1) into 1
4.425 * [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
4.425 * [taylor]: Taking taylor expansion of (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) in beta
4.425 * [taylor]: Taking taylor expansion of 2.0 in beta
4.425 * [backup-simplify]: Simplify 2.0 into 2.0
4.425 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in beta
4.425 * [taylor]: Taking taylor expansion of (/ 1 alpha) in beta
4.425 * [taylor]: Taking taylor expansion of alpha in beta
4.425 * [backup-simplify]: Simplify alpha into alpha
4.425 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
4.425 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in beta
4.425 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in beta
4.425 * [taylor]: Taking taylor expansion of 2.0 in beta
4.425 * [backup-simplify]: Simplify 2.0 into 2.0
4.425 * [taylor]: Taking taylor expansion of (/ 1 i) in beta
4.425 * [taylor]: Taking taylor expansion of i in beta
4.425 * [backup-simplify]: Simplify i into i
4.425 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
4.425 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
4.425 * [taylor]: Taking taylor expansion of beta in beta
4.425 * [backup-simplify]: Simplify 0 into 0
4.426 * [backup-simplify]: Simplify 1 into 1
4.426 * [backup-simplify]: Simplify (/ 1 1) into 1
4.426 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in beta
4.426 * [taylor]: Taking taylor expansion of (/ 1 alpha) in beta
4.426 * [taylor]: Taking taylor expansion of alpha in beta
4.426 * [backup-simplify]: Simplify alpha into alpha
4.426 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
4.426 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in beta
4.426 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in beta
4.426 * [taylor]: Taking taylor expansion of 2.0 in beta
4.426 * [backup-simplify]: Simplify 2.0 into 2.0
4.426 * [taylor]: Taking taylor expansion of (/ 1 i) in beta
4.426 * [taylor]: Taking taylor expansion of i in beta
4.426 * [backup-simplify]: Simplify i into i
4.426 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
4.426 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
4.426 * [taylor]: Taking taylor expansion of beta in beta
4.426 * [backup-simplify]: Simplify 0 into 0
4.426 * [backup-simplify]: Simplify 1 into 1
4.427 * [backup-simplify]: Simplify (/ 1 1) into 1
4.427 * [backup-simplify]: Simplify (- 1) into -1
4.427 * [backup-simplify]: Simplify (+ 0 -1) into -1
4.428 * [backup-simplify]: Simplify (+ 0 1) into 1
4.428 * [backup-simplify]: Simplify (+ 0 1) into 1
4.429 * [backup-simplify]: Simplify (- 1) into -1
4.429 * [backup-simplify]: Simplify (+ 0 -1) into -1
4.429 * [backup-simplify]: Simplify (+ 0 1) into 1
4.429 * [backup-simplify]: Simplify (+ 0 1) into 1
4.430 * [backup-simplify]: Simplify (* -1 1) into -1
4.430 * [backup-simplify]: Simplify (/ -1 -1) into 1
4.430 * [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
4.430 * [taylor]: Taking taylor expansion of -1 in beta
4.430 * [backup-simplify]: Simplify -1 into -1
4.430 * [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
4.430 * [taylor]: Taking taylor expansion of (- (/ 1 alpha) (/ 1 beta)) in beta
4.430 * [taylor]: Taking taylor expansion of (/ 1 alpha) in beta
4.430 * [taylor]: Taking taylor expansion of alpha in beta
4.430 * [backup-simplify]: Simplify alpha into alpha
4.430 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
4.430 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
4.430 * [taylor]: Taking taylor expansion of beta in beta
4.430 * [backup-simplify]: Simplify 0 into 0
4.430 * [backup-simplify]: Simplify 1 into 1
4.430 * [backup-simplify]: Simplify (/ 1 1) into 1
4.430 * [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
4.430 * [taylor]: Taking taylor expansion of (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) in beta
4.430 * [taylor]: Taking taylor expansion of 2.0 in beta
4.430 * [backup-simplify]: Simplify 2.0 into 2.0
4.430 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in beta
4.430 * [taylor]: Taking taylor expansion of (/ 1 alpha) in beta
4.430 * [taylor]: Taking taylor expansion of alpha in beta
4.430 * [backup-simplify]: Simplify alpha into alpha
4.430 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
4.430 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in beta
4.431 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in beta
4.431 * [taylor]: Taking taylor expansion of 2.0 in beta
4.431 * [backup-simplify]: Simplify 2.0 into 2.0
4.431 * [taylor]: Taking taylor expansion of (/ 1 i) in beta
4.431 * [taylor]: Taking taylor expansion of i in beta
4.431 * [backup-simplify]: Simplify i into i
4.431 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
4.431 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
4.431 * [taylor]: Taking taylor expansion of beta in beta
4.431 * [backup-simplify]: Simplify 0 into 0
4.431 * [backup-simplify]: Simplify 1 into 1
4.431 * [backup-simplify]: Simplify (/ 1 1) into 1
4.431 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in beta
4.431 * [taylor]: Taking taylor expansion of (/ 1 alpha) in beta
4.431 * [taylor]: Taking taylor expansion of alpha in beta
4.431 * [backup-simplify]: Simplify alpha into alpha
4.431 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
4.431 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in beta
4.431 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in beta
4.431 * [taylor]: Taking taylor expansion of 2.0 in beta
4.431 * [backup-simplify]: Simplify 2.0 into 2.0
4.431 * [taylor]: Taking taylor expansion of (/ 1 i) in beta
4.431 * [taylor]: Taking taylor expansion of i in beta
4.431 * [backup-simplify]: Simplify i into i
4.431 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
4.431 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
4.431 * [taylor]: Taking taylor expansion of beta in beta
4.431 * [backup-simplify]: Simplify 0 into 0
4.431 * [backup-simplify]: Simplify 1 into 1
4.431 * [backup-simplify]: Simplify (/ 1 1) into 1
4.432 * [backup-simplify]: Simplify (- 1) into -1
4.432 * [backup-simplify]: Simplify (+ 0 -1) into -1
4.432 * [backup-simplify]: Simplify (+ 0 1) into 1
4.433 * [backup-simplify]: Simplify (+ 0 1) into 1
4.433 * [backup-simplify]: Simplify (- 1) into -1
4.433 * [backup-simplify]: Simplify (+ 0 -1) into -1
4.433 * [backup-simplify]: Simplify (+ 0 1) into 1
4.433 * [backup-simplify]: Simplify (+ 0 1) into 1
4.434 * [backup-simplify]: Simplify (* -1 1) into -1
4.434 * [backup-simplify]: Simplify (/ -1 -1) into 1
4.434 * [backup-simplify]: Simplify (* -1 1) into -1
4.434 * [taylor]: Taking taylor expansion of -1 in alpha
4.434 * [backup-simplify]: Simplify -1 into -1
4.434 * [taylor]: Taking taylor expansion of 0 in i
4.434 * [backup-simplify]: Simplify 0 into 0
4.434 * [backup-simplify]: Simplify 0 into 0
4.435 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.435 * [backup-simplify]: Simplify (- 0) into 0
4.436 * [backup-simplify]: Simplify (+ (/ 1 alpha) 0) into (/ 1 alpha)
4.436 * [backup-simplify]: Simplify (* 2.0 (/ 1 i)) into (/ 2.0 i)
4.436 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.436 * [backup-simplify]: Simplify (+ (/ 2.0 i) 0) into (* 2.0 (/ 1 i))
4.437 * [backup-simplify]: Simplify (+ (/ 1 alpha) (* 2.0 (/ 1 i))) into (+ (/ 1 alpha) (* 2.0 (/ 1 i)))
4.437 * [backup-simplify]: Simplify (* 2.0 (/ 1 i)) into (/ 2.0 i)
4.437 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.437 * [backup-simplify]: Simplify (+ (/ 2.0 i) 0) into (* 2.0 (/ 1 i))
4.438 * [backup-simplify]: Simplify (+ (/ 1 alpha) (* 2.0 (/ 1 i))) into (+ (/ 1 alpha) (* 2.0 (/ 1 i)))
4.438 * [backup-simplify]: Simplify (- (+ (/ 1 alpha) (* 2.0 (/ 1 i)))) into (- (+ (/ 1 alpha) (* 2.0 (/ 1 i))))
4.438 * [backup-simplify]: Simplify (+ 2.0 (- (+ (/ 1 alpha) (* 2.0 (/ 1 i))))) into (- 2.0 (+ (/ 1 alpha) (* 2.0 (/ 1 i))))
4.438 * [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))))
4.439 * [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))))
4.440 * [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)
4.440 * [taylor]: Taking taylor expansion of (- (+ (* 3 (/ 1 alpha)) (* 4.0 (/ 1 i))) 2.0) in alpha
4.440 * [taylor]: Taking taylor expansion of (+ (* 3 (/ 1 alpha)) (* 4.0 (/ 1 i))) in alpha
4.440 * [taylor]: Taking taylor expansion of (* 3 (/ 1 alpha)) in alpha
4.440 * [taylor]: Taking taylor expansion of 3 in alpha
4.440 * [backup-simplify]: Simplify 3 into 3
4.440 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
4.440 * [taylor]: Taking taylor expansion of alpha in alpha
4.440 * [backup-simplify]: Simplify 0 into 0
4.440 * [backup-simplify]: Simplify 1 into 1
4.440 * [backup-simplify]: Simplify (/ 1 1) into 1
4.440 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 i)) in alpha
4.440 * [taylor]: Taking taylor expansion of 4.0 in alpha
4.440 * [backup-simplify]: Simplify 4.0 into 4.0
4.440 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
4.440 * [taylor]: Taking taylor expansion of i in alpha
4.440 * [backup-simplify]: Simplify i into i
4.440 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
4.441 * [taylor]: Taking taylor expansion of 2.0 in alpha
4.441 * [backup-simplify]: Simplify 2.0 into 2.0
4.441 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.442 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.443 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 1))) into 0
4.443 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
4.443 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 i))) into 0
4.444 * [backup-simplify]: Simplify (+ 0 0) into 0
4.444 * [backup-simplify]: Simplify (- 0) into 0
4.444 * [backup-simplify]: Simplify (+ 0 0) into 0
4.444 * [taylor]: Taking taylor expansion of 0 in i
4.444 * [backup-simplify]: Simplify 0 into 0
4.445 * [backup-simplify]: Simplify 0 into 0
4.445 * [taylor]: Taking taylor expansion of 0 in i
4.445 * [backup-simplify]: Simplify 0 into 0
4.445 * [backup-simplify]: Simplify 0 into 0
4.445 * [backup-simplify]: Simplify 0 into 0
4.445 * [backup-simplify]: Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)))) into 0
4.446 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.446 * [backup-simplify]: Simplify (- 0) into 0
4.446 * [backup-simplify]: Simplify (+ 0 0) into 0
4.446 * [backup-simplify]: Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)))) into 0
4.447 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
4.447 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 (/ 1 i))) into 0
4.448 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.448 * [backup-simplify]: Simplify (+ 0 0) into 0
4.448 * [backup-simplify]: Simplify (+ 0 0) into 0
4.449 * [backup-simplify]: Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)))) into 0
4.449 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
4.449 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 (/ 1 i))) into 0
4.450 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.450 * [backup-simplify]: Simplify (+ 0 0) into 0
4.451 * [backup-simplify]: Simplify (+ 0 0) into 0
4.451 * [backup-simplify]: Simplify (- 0) into 0
4.451 * [backup-simplify]: Simplify (+ 0 0) into 0
4.453 * [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)))))
4.455 * [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))))
4.457 * [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))))
4.457 * [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
4.457 * [taylor]: Taking taylor expansion of (+ (* 8.0 (/ 1 alpha)) (* 12.0 (/ 1 i))) in alpha
4.457 * [taylor]: Taking taylor expansion of (* 8.0 (/ 1 alpha)) in alpha
4.457 * [taylor]: Taking taylor expansion of 8.0 in alpha
4.457 * [backup-simplify]: Simplify 8.0 into 8.0
4.457 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
4.457 * [taylor]: Taking taylor expansion of alpha in alpha
4.457 * [backup-simplify]: Simplify 0 into 0
4.457 * [backup-simplify]: Simplify 1 into 1
4.458 * [backup-simplify]: Simplify (/ 1 1) into 1
4.458 * [taylor]: Taking taylor expansion of (* 12.0 (/ 1 i)) in alpha
4.458 * [taylor]: Taking taylor expansion of 12.0 in alpha
4.458 * [backup-simplify]: Simplify 12.0 into 12.0
4.458 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
4.458 * [taylor]: Taking taylor expansion of i in alpha
4.458 * [backup-simplify]: Simplify i into i
4.458 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
4.458 * [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
4.458 * [taylor]: Taking taylor expansion of (* 16.0 (/ 1 (* alpha i))) in alpha
4.458 * [taylor]: Taking taylor expansion of 16.0 in alpha
4.458 * [backup-simplify]: Simplify 16.0 into 16.0
4.458 * [taylor]: Taking taylor expansion of (/ 1 (* alpha i)) in alpha
4.458 * [taylor]: Taking taylor expansion of (* alpha i) in alpha
4.458 * [taylor]: Taking taylor expansion of alpha in alpha
4.458 * [backup-simplify]: Simplify 0 into 0
4.458 * [backup-simplify]: Simplify 1 into 1
4.458 * [taylor]: Taking taylor expansion of i in alpha
4.458 * [backup-simplify]: Simplify i into i
4.458 * [backup-simplify]: Simplify (* 0 i) into 0
4.459 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 i)) into i
4.459 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
4.459 * [taylor]: Taking taylor expansion of (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 5 (/ 1 (pow alpha 2))) 4.0)) in alpha
4.459 * [taylor]: Taking taylor expansion of (* 12.0 (/ 1 (pow i 2))) in alpha
4.459 * [taylor]: Taking taylor expansion of 12.0 in alpha
4.459 * [backup-simplify]: Simplify 12.0 into 12.0
4.459 * [taylor]: Taking taylor expansion of (/ 1 (pow i 2)) in alpha
4.459 * [taylor]: Taking taylor expansion of (pow i 2) in alpha
4.459 * [taylor]: Taking taylor expansion of i in alpha
4.459 * [backup-simplify]: Simplify i into i
4.459 * [backup-simplify]: Simplify (* i i) into (pow i 2)
4.459 * [backup-simplify]: Simplify (/ 1 (pow i 2)) into (/ 1 (pow i 2))
4.459 * [taylor]: Taking taylor expansion of (+ (* 5 (/ 1 (pow alpha 2))) 4.0) in alpha
4.459 * [taylor]: Taking taylor expansion of (* 5 (/ 1 (pow alpha 2))) in alpha
4.459 * [taylor]: Taking taylor expansion of 5 in alpha
4.459 * [backup-simplify]: Simplify 5 into 5
4.459 * [taylor]: Taking taylor expansion of (/ 1 (pow alpha 2)) in alpha
4.459 * [taylor]: Taking taylor expansion of (pow alpha 2) in alpha
4.459 * [taylor]: Taking taylor expansion of alpha in alpha
4.459 * [backup-simplify]: Simplify 0 into 0
4.459 * [backup-simplify]: Simplify 1 into 1
4.460 * [backup-simplify]: Simplify (* 1 1) into 1
4.460 * [backup-simplify]: Simplify (/ 1 1) into 1
4.460 * [taylor]: Taking taylor expansion of 4.0 in alpha
4.460 * [backup-simplify]: Simplify 4.0 into 4.0
4.461 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.462 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.463 * [backup-simplify]: Simplify (+ (* 8.0 0) (+ (* 0 0) (* 0 1))) into 0
4.463 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
4.463 * [backup-simplify]: Simplify (+ (* 12.0 0) (* 0 (/ 1 i))) into 0
4.463 * [backup-simplify]: Simplify (+ 0 0) into 0
4.464 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 i)))) into 0
4.465 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 i))) into 0
4.465 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
4.466 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)) (* 0 (/ 0 i)))) into 0
4.466 * [backup-simplify]: Simplify (+ (* 16.0 0) (+ (* 0 0) (* 0 (/ 1 i)))) into 0
4.466 * [backup-simplify]: Simplify (+ (* i 0) (* 0 i)) into 0
4.467 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow i 2)) (/ 0 (pow i 2))))) into 0
4.467 * [backup-simplify]: Simplify (+ (* 12.0 0) (* 0 (/ 1 (pow i 2)))) into 0
4.468 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.469 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.469 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.470 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.471 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.472 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.473 * [backup-simplify]: Simplify (+ (* 5 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.473 * [backup-simplify]: Simplify (+ 0 0) into 0
4.474 * [backup-simplify]: Simplify (+ 0 0) into 0
4.474 * [backup-simplify]: Simplify (+ 0 0) into 0
4.474 * [backup-simplify]: Simplify (- 0) into 0
4.474 * [backup-simplify]: Simplify (+ 0 0) into 0
4.475 * [taylor]: Taking taylor expansion of 0 in i
4.475 * [backup-simplify]: Simplify 0 into 0
4.475 * [backup-simplify]: Simplify 0 into 0
4.475 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.476 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.477 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)) (* 0 (/ 0 i)))) into 0
4.477 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 (/ 1 i)))) into 0
4.478 * [backup-simplify]: Simplify (+ 0 0) into 0
4.478 * [backup-simplify]: Simplify (- 0) into 0
4.479 * [backup-simplify]: Simplify (+ 0 0) into 0
4.479 * [taylor]: Taking taylor expansion of 0 in i
4.479 * [backup-simplify]: Simplify 0 into 0
4.479 * [backup-simplify]: Simplify 0 into 0
4.479 * [backup-simplify]: Simplify 0 into 0
4.479 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 2 1)
4.479 * [backup-simplify]: Simplify (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) into (/ (- beta alpha) (+ alpha (+ (* 2.0 i) beta)))
4.479 * [approximate]: Taking taylor expansion of (/ (- beta alpha) (+ alpha (+ (* 2.0 i) beta))) in (beta alpha i) around 0
4.479 * [taylor]: Taking taylor expansion of (/ (- beta alpha) (+ alpha (+ (* 2.0 i) beta))) in i
4.479 * [taylor]: Taking taylor expansion of (- beta alpha) in i
4.479 * [taylor]: Taking taylor expansion of beta in i
4.479 * [backup-simplify]: Simplify beta into beta
4.479 * [taylor]: Taking taylor expansion of alpha in i
4.479 * [backup-simplify]: Simplify alpha into alpha
4.479 * [taylor]: Taking taylor expansion of (+ alpha (+ (* 2.0 i) beta)) in i
4.479 * [taylor]: Taking taylor expansion of alpha in i
4.479 * [backup-simplify]: Simplify alpha into alpha
4.479 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in i
4.479 * [taylor]: Taking taylor expansion of (* 2.0 i) in i
4.479 * [taylor]: Taking taylor expansion of 2.0 in i
4.480 * [backup-simplify]: Simplify 2.0 into 2.0
4.480 * [taylor]: Taking taylor expansion of i in i
4.480 * [backup-simplify]: Simplify 0 into 0
4.480 * [backup-simplify]: Simplify 1 into 1
4.480 * [taylor]: Taking taylor expansion of beta in i
4.480 * [backup-simplify]: Simplify beta into beta
4.480 * [backup-simplify]: Simplify (- alpha) into (- alpha)
4.480 * [backup-simplify]: Simplify (+ beta (- alpha)) into (- beta alpha)
4.480 * [backup-simplify]: Simplify (* 2.0 0) into 0
4.480 * [backup-simplify]: Simplify (+ 0 beta) into beta
4.480 * [backup-simplify]: Simplify (+ alpha beta) into (+ alpha beta)
4.480 * [backup-simplify]: Simplify (/ (- beta alpha) (+ alpha beta)) into (/ (- beta alpha) (+ alpha beta))
4.480 * [taylor]: Taking taylor expansion of (/ (- beta alpha) (+ alpha (+ (* 2.0 i) beta))) in alpha
4.480 * [taylor]: Taking taylor expansion of (- beta alpha) in alpha
4.480 * [taylor]: Taking taylor expansion of beta in alpha
4.480 * [backup-simplify]: Simplify beta into beta
4.480 * [taylor]: Taking taylor expansion of alpha in alpha
4.480 * [backup-simplify]: Simplify 0 into 0
4.480 * [backup-simplify]: Simplify 1 into 1
4.481 * [taylor]: Taking taylor expansion of (+ alpha (+ (* 2.0 i) beta)) in alpha
4.481 * [taylor]: Taking taylor expansion of alpha in alpha
4.481 * [backup-simplify]: Simplify 0 into 0
4.481 * [backup-simplify]: Simplify 1 into 1
4.481 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in alpha
4.481 * [taylor]: Taking taylor expansion of (* 2.0 i) in alpha
4.481 * [taylor]: Taking taylor expansion of 2.0 in alpha
4.481 * [backup-simplify]: Simplify 2.0 into 2.0
4.481 * [taylor]: Taking taylor expansion of i in alpha
4.481 * [backup-simplify]: Simplify i into i
4.481 * [taylor]: Taking taylor expansion of beta in alpha
4.481 * [backup-simplify]: Simplify beta into beta
4.481 * [backup-simplify]: Simplify (- 0) into 0
4.481 * [backup-simplify]: Simplify (+ beta 0) into beta
4.481 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
4.481 * [backup-simplify]: Simplify (+ (* 2.0 i) beta) into (+ (* 2.0 i) beta)
4.481 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 i) beta)) into (+ (* 2.0 i) beta)
4.482 * [backup-simplify]: Simplify (/ beta (+ (* 2.0 i) beta)) into (/ beta (+ (* 2.0 i) beta))
4.482 * [taylor]: Taking taylor expansion of (/ (- beta alpha) (+ alpha (+ (* 2.0 i) beta))) in beta
4.482 * [taylor]: Taking taylor expansion of (- beta alpha) in beta
4.482 * [taylor]: Taking taylor expansion of beta in beta
4.482 * [backup-simplify]: Simplify 0 into 0
4.482 * [backup-simplify]: Simplify 1 into 1
4.482 * [taylor]: Taking taylor expansion of alpha in beta
4.482 * [backup-simplify]: Simplify alpha into alpha
4.482 * [taylor]: Taking taylor expansion of (+ alpha (+ (* 2.0 i) beta)) in beta
4.482 * [taylor]: Taking taylor expansion of alpha in beta
4.482 * [backup-simplify]: Simplify alpha into alpha
4.482 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
4.482 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
4.482 * [taylor]: Taking taylor expansion of 2.0 in beta
4.482 * [backup-simplify]: Simplify 2.0 into 2.0
4.482 * [taylor]: Taking taylor expansion of i in beta
4.482 * [backup-simplify]: Simplify i into i
4.482 * [taylor]: Taking taylor expansion of beta in beta
4.482 * [backup-simplify]: Simplify 0 into 0
4.482 * [backup-simplify]: Simplify 1 into 1
4.482 * [backup-simplify]: Simplify (- alpha) into (- alpha)
4.482 * [backup-simplify]: Simplify (+ 0 (- alpha)) into (- alpha)
4.482 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
4.482 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
4.482 * [backup-simplify]: Simplify (+ alpha (* 2.0 i)) into (+ alpha (* 2.0 i))
4.483 * [backup-simplify]: Simplify (/ (- alpha) (+ alpha (* 2.0 i))) into (* -1 (/ alpha (+ alpha (* 2.0 i))))
4.483 * [taylor]: Taking taylor expansion of (/ (- beta alpha) (+ alpha (+ (* 2.0 i) beta))) in beta
4.483 * [taylor]: Taking taylor expansion of (- beta alpha) in beta
4.483 * [taylor]: Taking taylor expansion of beta in beta
4.483 * [backup-simplify]: Simplify 0 into 0
4.483 * [backup-simplify]: Simplify 1 into 1
4.483 * [taylor]: Taking taylor expansion of alpha in beta
4.483 * [backup-simplify]: Simplify alpha into alpha
4.483 * [taylor]: Taking taylor expansion of (+ alpha (+ (* 2.0 i) beta)) in beta
4.483 * [taylor]: Taking taylor expansion of alpha in beta
4.483 * [backup-simplify]: Simplify alpha into alpha
4.483 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
4.483 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
4.483 * [taylor]: Taking taylor expansion of 2.0 in beta
4.483 * [backup-simplify]: Simplify 2.0 into 2.0
4.483 * [taylor]: Taking taylor expansion of i in beta
4.483 * [backup-simplify]: Simplify i into i
4.483 * [taylor]: Taking taylor expansion of beta in beta
4.483 * [backup-simplify]: Simplify 0 into 0
4.483 * [backup-simplify]: Simplify 1 into 1
4.483 * [backup-simplify]: Simplify (- alpha) into (- alpha)
4.483 * [backup-simplify]: Simplify (+ 0 (- alpha)) into (- alpha)
4.483 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
4.483 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
4.483 * [backup-simplify]: Simplify (+ alpha (* 2.0 i)) into (+ alpha (* 2.0 i))
4.484 * [backup-simplify]: Simplify (/ (- alpha) (+ alpha (* 2.0 i))) into (* -1 (/ alpha (+ alpha (* 2.0 i))))
4.484 * [taylor]: Taking taylor expansion of (* -1 (/ alpha (+ alpha (* 2.0 i)))) in alpha
4.484 * [taylor]: Taking taylor expansion of -1 in alpha
4.484 * [backup-simplify]: Simplify -1 into -1
4.484 * [taylor]: Taking taylor expansion of (/ alpha (+ alpha (* 2.0 i))) in alpha
4.484 * [taylor]: Taking taylor expansion of alpha in alpha
4.484 * [backup-simplify]: Simplify 0 into 0
4.484 * [backup-simplify]: Simplify 1 into 1
4.484 * [taylor]: Taking taylor expansion of (+ alpha (* 2.0 i)) in alpha
4.484 * [taylor]: Taking taylor expansion of alpha in alpha
4.484 * [backup-simplify]: Simplify 0 into 0
4.484 * [backup-simplify]: Simplify 1 into 1
4.484 * [taylor]: Taking taylor expansion of (* 2.0 i) in alpha
4.484 * [taylor]: Taking taylor expansion of 2.0 in alpha
4.484 * [backup-simplify]: Simplify 2.0 into 2.0
4.484 * [taylor]: Taking taylor expansion of i in alpha
4.484 * [backup-simplify]: Simplify i into i
4.484 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
4.484 * [backup-simplify]: Simplify (+ 0 (* 2.0 i)) into (* 2.0 i)
4.484 * [backup-simplify]: Simplify (/ 1 (* 2.0 i)) into (/ 0.5 i)
4.485 * [backup-simplify]: Simplify (- 0) into 0
4.485 * [backup-simplify]: Simplify (+ 1 0) into 1
4.485 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 i)) into 0
4.486 * [backup-simplify]: Simplify (+ 0 1) into 1
4.486 * [backup-simplify]: Simplify (+ 0 1) into 1
4.487 * [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)))
4.487 * [taylor]: Taking taylor expansion of (+ (/ 1 (+ alpha (* 2.0 i))) (/ alpha (pow (+ alpha (* 2.0 i)) 2))) in alpha
4.487 * [taylor]: Taking taylor expansion of (/ 1 (+ alpha (* 2.0 i))) in alpha
4.487 * [taylor]: Taking taylor expansion of (+ alpha (* 2.0 i)) in alpha
4.487 * [taylor]: Taking taylor expansion of alpha in alpha
4.487 * [backup-simplify]: Simplify 0 into 0
4.487 * [backup-simplify]: Simplify 1 into 1
4.487 * [taylor]: Taking taylor expansion of (* 2.0 i) in alpha
4.487 * [taylor]: Taking taylor expansion of 2.0 in alpha
4.487 * [backup-simplify]: Simplify 2.0 into 2.0
4.487 * [taylor]: Taking taylor expansion of i in alpha
4.487 * [backup-simplify]: Simplify i into i
4.487 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
4.487 * [backup-simplify]: Simplify (+ 0 (* 2.0 i)) into (* 2.0 i)
4.487 * [backup-simplify]: Simplify (/ 1 (* 2.0 i)) into (/ 0.5 i)
4.487 * [taylor]: Taking taylor expansion of (/ alpha (pow (+ alpha (* 2.0 i)) 2)) in alpha
4.487 * [taylor]: Taking taylor expansion of alpha in alpha
4.487 * [backup-simplify]: Simplify 0 into 0
4.487 * [backup-simplify]: Simplify 1 into 1
4.487 * [taylor]: Taking taylor expansion of (pow (+ alpha (* 2.0 i)) 2) in alpha
4.487 * [taylor]: Taking taylor expansion of (+ alpha (* 2.0 i)) in alpha
4.487 * [taylor]: Taking taylor expansion of alpha in alpha
4.487 * [backup-simplify]: Simplify 0 into 0
4.487 * [backup-simplify]: Simplify 1 into 1
4.487 * [taylor]: Taking taylor expansion of (* 2.0 i) in alpha
4.487 * [taylor]: Taking taylor expansion of 2.0 in alpha
4.487 * [backup-simplify]: Simplify 2.0 into 2.0
4.487 * [taylor]: Taking taylor expansion of i in alpha
4.487 * [backup-simplify]: Simplify i into i
4.487 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
4.487 * [backup-simplify]: Simplify (+ 0 (* 2.0 i)) into (* 2.0 i)
4.488 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
4.488 * [backup-simplify]: Simplify (/ 1 (* 4.0 (pow i 2))) into (/ 0.25 (pow i 2))
4.488 * [backup-simplify]: Simplify (+ (/ 0.5 i) 0) into (* 0.5 (/ 1 i))
4.488 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 i)) in i
4.488 * [taylor]: Taking taylor expansion of 0.5 in i
4.488 * [backup-simplify]: Simplify 0.5 into 0.5
4.488 * [taylor]: Taking taylor expansion of (/ 1 i) in i
4.488 * [taylor]: Taking taylor expansion of i in i
4.488 * [backup-simplify]: Simplify 0 into 0
4.488 * [backup-simplify]: Simplify 1 into 1
4.488 * [backup-simplify]: Simplify (/ 1 1) into 1
4.489 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.489 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0
4.489 * [backup-simplify]: Simplify 0 into 0
4.489 * [backup-simplify]: Simplify (* -1 (/ 0.5 i)) into (/ -0.5 i)
4.489 * [taylor]: Taking taylor expansion of (/ -0.5 i) in i
4.489 * [taylor]: Taking taylor expansion of -0.5 in i
4.489 * [backup-simplify]: Simplify -0.5 into -0.5
4.489 * [taylor]: Taking taylor expansion of i in i
4.489 * [backup-simplify]: Simplify 0 into 0
4.489 * [backup-simplify]: Simplify 1 into 1
4.489 * [backup-simplify]: Simplify (/ -0.5 1) into -0.5
4.490 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -0.5 (/ 0 1)))) into 0
4.490 * [backup-simplify]: Simplify 0 into 0
4.490 * [backup-simplify]: Simplify (- 0) into 0
4.490 * [backup-simplify]: Simplify (+ 0 0) into 0
4.491 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 i))) into 0
4.491 * [backup-simplify]: Simplify (+ 0 0) into 0
4.491 * [backup-simplify]: Simplify (+ 0 0) into 0
4.492 * [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))))
4.492 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow (+ alpha (* 2.0 i)) 2)) (/ alpha (pow (+ alpha (* 2.0 i)) 3)))) in alpha
4.492 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow (+ alpha (* 2.0 i)) 2)) (/ alpha (pow (+ alpha (* 2.0 i)) 3))) in alpha
4.492 * [taylor]: Taking taylor expansion of (/ 1 (pow (+ alpha (* 2.0 i)) 2)) in alpha
4.492 * [taylor]: Taking taylor expansion of (pow (+ alpha (* 2.0 i)) 2) in alpha
4.492 * [taylor]: Taking taylor expansion of (+ alpha (* 2.0 i)) in alpha
4.492 * [taylor]: Taking taylor expansion of alpha in alpha
4.492 * [backup-simplify]: Simplify 0 into 0
4.492 * [backup-simplify]: Simplify 1 into 1
4.492 * [taylor]: Taking taylor expansion of (* 2.0 i) in alpha
4.492 * [taylor]: Taking taylor expansion of 2.0 in alpha
4.492 * [backup-simplify]: Simplify 2.0 into 2.0
4.492 * [taylor]: Taking taylor expansion of i in alpha
4.492 * [backup-simplify]: Simplify i into i
4.492 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
4.492 * [backup-simplify]: Simplify (+ 0 (* 2.0 i)) into (* 2.0 i)
4.492 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
4.493 * [backup-simplify]: Simplify (/ 1 (* 4.0 (pow i 2))) into (/ 0.25 (pow i 2))
4.493 * [taylor]: Taking taylor expansion of (/ alpha (pow (+ alpha (* 2.0 i)) 3)) in alpha
4.493 * [taylor]: Taking taylor expansion of alpha in alpha
4.493 * [backup-simplify]: Simplify 0 into 0
4.493 * [backup-simplify]: Simplify 1 into 1
4.493 * [taylor]: Taking taylor expansion of (pow (+ alpha (* 2.0 i)) 3) in alpha
4.493 * [taylor]: Taking taylor expansion of (+ alpha (* 2.0 i)) in alpha
4.493 * [taylor]: Taking taylor expansion of alpha in alpha
4.493 * [backup-simplify]: Simplify 0 into 0
4.493 * [backup-simplify]: Simplify 1 into 1
4.493 * [taylor]: Taking taylor expansion of (* 2.0 i) in alpha
4.493 * [taylor]: Taking taylor expansion of 2.0 in alpha
4.493 * [backup-simplify]: Simplify 2.0 into 2.0
4.493 * [taylor]: Taking taylor expansion of i in alpha
4.493 * [backup-simplify]: Simplify i into i
4.493 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
4.493 * [backup-simplify]: Simplify (+ 0 (* 2.0 i)) into (* 2.0 i)
4.493 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
4.493 * [backup-simplify]: Simplify (* (* 2.0 i) (* 4.0 (pow i 2))) into (* 8.0 (pow i 3))
4.493 * [backup-simplify]: Simplify (/ 1 (* 8.0 (pow i 3))) into (/ 0.125 (pow i 3))
4.493 * [backup-simplify]: Simplify (+ (/ 0.25 (pow i 2)) 0) into (* 0.25 (/ 1 (pow i 2)))
4.493 * [backup-simplify]: Simplify (- (* 0.25 (/ 1 (pow i 2)))) into (- (* 0.25 (/ 1 (pow i 2))))
4.493 * [taylor]: Taking taylor expansion of (- (* 0.25 (/ 1 (pow i 2)))) in i
4.493 * [taylor]: Taking taylor expansion of (* 0.25 (/ 1 (pow i 2))) in i
4.493 * [taylor]: Taking taylor expansion of 0.25 in i
4.493 * [backup-simplify]: Simplify 0.25 into 0.25
4.493 * [taylor]: Taking taylor expansion of (/ 1 (pow i 2)) in i
4.493 * [taylor]: Taking taylor expansion of (pow i 2) in i
4.493 * [taylor]: Taking taylor expansion of i in i
4.494 * [backup-simplify]: Simplify 0 into 0
4.494 * [backup-simplify]: Simplify 1 into 1
4.494 * [backup-simplify]: Simplify (* 1 1) into 1
4.494 * [backup-simplify]: Simplify (/ 1 1) into 1
4.495 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.495 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.495 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.496 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.496 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 0) (* 0 1))) into 0
4.497 * [backup-simplify]: Simplify (- 0) into 0
4.497 * [backup-simplify]: Simplify 0 into 0
4.497 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 i)) into 0
4.497 * [backup-simplify]: Simplify (+ 1 0) into 1
4.497 * [backup-simplify]: Simplify (- (+ (* (/ 0.5 i) (/ 1 (* 2.0 i))))) into (- (* 0.25 (/ 1 (pow i 2))))
4.498 * [backup-simplify]: Simplify (+ (- (* 0.25 (/ 1 (pow i 2)))) (/ 0.25 (pow i 2))) into 0
4.498 * [taylor]: Taking taylor expansion of 0 in i
4.498 * [backup-simplify]: Simplify 0 into 0
4.498 * [backup-simplify]: Simplify 0 into 0
4.498 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 i)) into 0
4.498 * [backup-simplify]: Simplify (+ 1 0) into 1
4.499 * [backup-simplify]: Simplify (- (/ 0 (* 2.0 i)) (+ (* (/ 0.5 i) (/ 1 (* 2.0 i))))) into (- (* 0.25 (/ 1 (pow i 2))))
4.499 * [backup-simplify]: Simplify (+ (* -1 (- (* 0.25 (/ 1 (pow i 2))))) (* 0 (/ 0.5 i))) into (* 0.25 (/ 1 (pow i 2)))
4.499 * [taylor]: Taking taylor expansion of (* 0.25 (/ 1 (pow i 2))) in i
4.499 * [taylor]: Taking taylor expansion of 0.25 in i
4.499 * [backup-simplify]: Simplify 0.25 into 0.25
4.499 * [taylor]: Taking taylor expansion of (/ 1 (pow i 2)) in i
4.499 * [taylor]: Taking taylor expansion of (pow i 2) in i
4.499 * [taylor]: Taking taylor expansion of i in i
4.499 * [backup-simplify]: Simplify 0 into 0
4.499 * [backup-simplify]: Simplify 1 into 1
4.500 * [backup-simplify]: Simplify (* 1 1) into 1
4.500 * [backup-simplify]: Simplify (/ 1 1) into 1
4.501 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.501 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.502 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.503 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.503 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 0) (* 0 1))) into 0
4.504 * [backup-simplify]: Simplify 0 into 0
4.504 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.505 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 1))) into 0
4.505 * [backup-simplify]: Simplify 0 into 0
4.505 * [backup-simplify]: Simplify 0 into 0
4.506 * [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))))
4.506 * [approximate]: Taking taylor expansion of (/ (- (/ 1 beta) (/ 1 alpha)) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) in (beta alpha i) around 0
4.506 * [taylor]: Taking taylor expansion of (/ (- (/ 1 beta) (/ 1 alpha)) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) in i
4.506 * [taylor]: Taking taylor expansion of (- (/ 1 beta) (/ 1 alpha)) in i
4.506 * [taylor]: Taking taylor expansion of (/ 1 beta) in i
4.506 * [taylor]: Taking taylor expansion of beta in i
4.506 * [backup-simplify]: Simplify beta into beta
4.506 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
4.506 * [taylor]: Taking taylor expansion of (/ 1 alpha) in i
4.506 * [taylor]: Taking taylor expansion of alpha in i
4.506 * [backup-simplify]: Simplify alpha into alpha
4.506 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
4.506 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in i
4.506 * [taylor]: Taking taylor expansion of (/ 1 alpha) in i
4.506 * [taylor]: Taking taylor expansion of alpha in i
4.506 * [backup-simplify]: Simplify alpha into alpha
4.506 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
4.506 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in i
4.506 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in i
4.506 * [taylor]: Taking taylor expansion of 2.0 in i
4.506 * [backup-simplify]: Simplify 2.0 into 2.0
4.506 * [taylor]: Taking taylor expansion of (/ 1 i) in i
4.506 * [taylor]: Taking taylor expansion of i in i
4.506 * [backup-simplify]: Simplify 0 into 0
4.506 * [backup-simplify]: Simplify 1 into 1
4.507 * [backup-simplify]: Simplify (/ 1 1) into 1
4.507 * [taylor]: Taking taylor expansion of (/ 1 beta) in i
4.507 * [taylor]: Taking taylor expansion of beta in i
4.507 * [backup-simplify]: Simplify beta into beta
4.507 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
4.507 * [backup-simplify]: Simplify (- (/ 1 alpha)) into (- (/ 1 alpha))
4.507 * [backup-simplify]: Simplify (+ (/ 1 beta) (- (/ 1 alpha))) into (- (/ 1 beta) (/ 1 alpha))
4.508 * [backup-simplify]: Simplify (* 2.0 1) into 2.0
4.508 * [backup-simplify]: Simplify (+ 2.0 0) into 2.0
4.508 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
4.509 * [backup-simplify]: Simplify (/ (- (/ 1 beta) (/ 1 alpha)) 2.0) into (* 0.5 (- (/ 1 beta) (/ 1 alpha)))
4.509 * [taylor]: Taking taylor expansion of (/ (- (/ 1 beta) (/ 1 alpha)) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) in alpha
4.509 * [taylor]: Taking taylor expansion of (- (/ 1 beta) (/ 1 alpha)) in alpha
4.509 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
4.509 * [taylor]: Taking taylor expansion of beta in alpha
4.509 * [backup-simplify]: Simplify beta into beta
4.509 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
4.509 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
4.509 * [taylor]: Taking taylor expansion of alpha in alpha
4.509 * [backup-simplify]: Simplify 0 into 0
4.509 * [backup-simplify]: Simplify 1 into 1
4.509 * [backup-simplify]: Simplify (/ 1 1) into 1
4.509 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in alpha
4.509 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
4.509 * [taylor]: Taking taylor expansion of alpha in alpha
4.509 * [backup-simplify]: Simplify 0 into 0
4.509 * [backup-simplify]: Simplify 1 into 1
4.510 * [backup-simplify]: Simplify (/ 1 1) into 1
4.510 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in alpha
4.510 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
4.510 * [taylor]: Taking taylor expansion of 2.0 in alpha
4.510 * [backup-simplify]: Simplify 2.0 into 2.0
4.510 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
4.510 * [taylor]: Taking taylor expansion of i in alpha
4.510 * [backup-simplify]: Simplify i into i
4.510 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
4.510 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
4.510 * [taylor]: Taking taylor expansion of beta in alpha
4.510 * [backup-simplify]: Simplify beta into beta
4.510 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
4.510 * [backup-simplify]: Simplify (- 1) into -1
4.511 * [backup-simplify]: Simplify (+ 0 -1) into -1
4.511 * [backup-simplify]: Simplify (+ 1 0) into 1
4.512 * [backup-simplify]: Simplify (/ -1 1) into -1
4.512 * [taylor]: Taking taylor expansion of (/ (- (/ 1 beta) (/ 1 alpha)) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) in beta
4.512 * [taylor]: Taking taylor expansion of (- (/ 1 beta) (/ 1 alpha)) in beta
4.512 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
4.512 * [taylor]: Taking taylor expansion of beta in beta
4.512 * [backup-simplify]: Simplify 0 into 0
4.512 * [backup-simplify]: Simplify 1 into 1
4.512 * [backup-simplify]: Simplify (/ 1 1) into 1
4.512 * [taylor]: Taking taylor expansion of (/ 1 alpha) in beta
4.512 * [taylor]: Taking taylor expansion of alpha in beta
4.512 * [backup-simplify]: Simplify alpha into alpha
4.512 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
4.512 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in beta
4.512 * [taylor]: Taking taylor expansion of (/ 1 alpha) in beta
4.512 * [taylor]: Taking taylor expansion of alpha in beta
4.512 * [backup-simplify]: Simplify alpha into alpha
4.512 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
4.513 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in beta
4.513 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in beta
4.513 * [taylor]: Taking taylor expansion of 2.0 in beta
4.513 * [backup-simplify]: Simplify 2.0 into 2.0
4.513 * [taylor]: Taking taylor expansion of (/ 1 i) in beta
4.513 * [taylor]: Taking taylor expansion of i in beta
4.513 * [backup-simplify]: Simplify i into i
4.513 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
4.513 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
4.513 * [taylor]: Taking taylor expansion of beta in beta
4.513 * [backup-simplify]: Simplify 0 into 0
4.513 * [backup-simplify]: Simplify 1 into 1
4.513 * [backup-simplify]: Simplify (/ 1 1) into 1
4.514 * [backup-simplify]: Simplify (+ 1 0) into 1
4.514 * [backup-simplify]: Simplify (+ 0 1) into 1
4.514 * [backup-simplify]: Simplify (+ 0 1) into 1
4.515 * [backup-simplify]: Simplify (/ 1 1) into 1
4.515 * [taylor]: Taking taylor expansion of (/ (- (/ 1 beta) (/ 1 alpha)) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) in beta
4.515 * [taylor]: Taking taylor expansion of (- (/ 1 beta) (/ 1 alpha)) in beta
4.515 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
4.515 * [taylor]: Taking taylor expansion of beta in beta
4.515 * [backup-simplify]: Simplify 0 into 0
4.515 * [backup-simplify]: Simplify 1 into 1
4.515 * [backup-simplify]: Simplify (/ 1 1) into 1
4.515 * [taylor]: Taking taylor expansion of (/ 1 alpha) in beta
4.515 * [taylor]: Taking taylor expansion of alpha in beta
4.515 * [backup-simplify]: Simplify alpha into alpha
4.515 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
4.515 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in beta
4.515 * [taylor]: Taking taylor expansion of (/ 1 alpha) in beta
4.515 * [taylor]: Taking taylor expansion of alpha in beta
4.515 * [backup-simplify]: Simplify alpha into alpha
4.516 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
4.516 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in beta
4.516 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in beta
4.516 * [taylor]: Taking taylor expansion of 2.0 in beta
4.516 * [backup-simplify]: Simplify 2.0 into 2.0
4.516 * [taylor]: Taking taylor expansion of (/ 1 i) in beta
4.516 * [taylor]: Taking taylor expansion of i in beta
4.516 * [backup-simplify]: Simplify i into i
4.516 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
4.516 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
4.516 * [taylor]: Taking taylor expansion of beta in beta
4.516 * [backup-simplify]: Simplify 0 into 0
4.516 * [backup-simplify]: Simplify 1 into 1
4.516 * [backup-simplify]: Simplify (/ 1 1) into 1
4.517 * [backup-simplify]: Simplify (+ 1 0) into 1
4.517 * [backup-simplify]: Simplify (+ 0 1) into 1
4.517 * [backup-simplify]: Simplify (+ 0 1) into 1
4.518 * [backup-simplify]: Simplify (/ 1 1) into 1
4.518 * [taylor]: Taking taylor expansion of 1 in alpha
4.518 * [backup-simplify]: Simplify 1 into 1
4.518 * [taylor]: Taking taylor expansion of 1 in i
4.518 * [backup-simplify]: Simplify 1 into 1
4.518 * [backup-simplify]: Simplify 0 into 0
4.519 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.519 * [backup-simplify]: Simplify (- (/ 1 alpha)) into (- (/ 1 alpha))
4.519 * [backup-simplify]: Simplify (+ 0 (- (/ 1 alpha))) into (- (/ 1 alpha))
4.519 * [backup-simplify]: Simplify (* 2.0 (/ 1 i)) into (/ 2.0 i)
4.520 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.520 * [backup-simplify]: Simplify (+ (/ 2.0 i) 0) into (* 2.0 (/ 1 i))
4.520 * [backup-simplify]: Simplify (+ (/ 1 alpha) (* 2.0 (/ 1 i))) into (+ (/ 1 alpha) (* 2.0 (/ 1 i)))
4.520 * [backup-simplify]: Simplify (- (/ (- (/ 1 alpha)) 1) (+ (* 1 (/ (+ (/ 1 alpha) (* 2.0 (/ 1 i))) 1)))) into (- (+ (* 2 (/ 1 alpha)) (* 2.0 (/ 1 i))))
4.520 * [taylor]: Taking taylor expansion of (- (+ (* 2 (/ 1 alpha)) (* 2.0 (/ 1 i)))) in alpha
4.520 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 alpha)) (* 2.0 (/ 1 i))) in alpha
4.520 * [taylor]: Taking taylor expansion of (* 2 (/ 1 alpha)) in alpha
4.520 * [taylor]: Taking taylor expansion of 2 in alpha
4.520 * [backup-simplify]: Simplify 2 into 2
4.520 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
4.520 * [taylor]: Taking taylor expansion of alpha in alpha
4.520 * [backup-simplify]: Simplify 0 into 0
4.521 * [backup-simplify]: Simplify 1 into 1
4.521 * [backup-simplify]: Simplify (/ 1 1) into 1
4.521 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
4.521 * [taylor]: Taking taylor expansion of 2.0 in alpha
4.521 * [backup-simplify]: Simplify 2.0 into 2.0
4.521 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
4.521 * [taylor]: Taking taylor expansion of i in alpha
4.521 * [backup-simplify]: Simplify i into i
4.521 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
4.522 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.522 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0
4.523 * [backup-simplify]: Simplify (* 2.0 (/ 1 i)) into (/ 2.0 i)
4.523 * [backup-simplify]: Simplify (+ 0 (/ 2.0 i)) into (* 2.0 (/ 1 i))
4.523 * [backup-simplify]: Simplify (- (* 2.0 (/ 1 i))) into (- (* 2.0 (/ 1 i)))
4.523 * [taylor]: Taking taylor expansion of (- (* 2.0 (/ 1 i))) in i
4.523 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in i
4.523 * [taylor]: Taking taylor expansion of 2.0 in i
4.523 * [backup-simplify]: Simplify 2.0 into 2.0
4.523 * [taylor]: Taking taylor expansion of (/ 1 i) in i
4.523 * [taylor]: Taking taylor expansion of i in i
4.523 * [backup-simplify]: Simplify 0 into 0
4.523 * [backup-simplify]: Simplify 1 into 1
4.523 * [backup-simplify]: Simplify (/ 1 1) into 1
4.524 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.525 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.526 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 1))) into 0
4.526 * [backup-simplify]: Simplify (- 0) into 0
4.526 * [backup-simplify]: Simplify 0 into 0
4.526 * [taylor]: Taking taylor expansion of 0 in i
4.526 * [backup-simplify]: Simplify 0 into 0
4.526 * [backup-simplify]: Simplify 0 into 0
4.526 * [backup-simplify]: Simplify 0 into 0
4.527 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.527 * [backup-simplify]: Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)))) into 0
4.527 * [backup-simplify]: Simplify (- 0) into 0
4.528 * [backup-simplify]: Simplify (+ 0 0) into 0
4.528 * [backup-simplify]: Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)))) into 0
4.528 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
4.529 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 (/ 1 i))) into 0
4.529 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.530 * [backup-simplify]: Simplify (+ 0 0) into 0
4.530 * [backup-simplify]: Simplify (+ 0 0) into 0
4.532 * [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)))))
4.532 * [taylor]: Taking taylor expansion of (+ (* 6.0 (/ 1 (* alpha i))) (+ (* 4.0 (/ 1 (pow i 2))) (* 2 (/ 1 (pow alpha 2))))) in alpha
4.532 * [taylor]: Taking taylor expansion of (* 6.0 (/ 1 (* alpha i))) in alpha
4.532 * [taylor]: Taking taylor expansion of 6.0 in alpha
4.532 * [backup-simplify]: Simplify 6.0 into 6.0
4.532 * [taylor]: Taking taylor expansion of (/ 1 (* alpha i)) in alpha
4.532 * [taylor]: Taking taylor expansion of (* alpha i) in alpha
4.532 * [taylor]: Taking taylor expansion of alpha in alpha
4.532 * [backup-simplify]: Simplify 0 into 0
4.532 * [backup-simplify]: Simplify 1 into 1
4.532 * [taylor]: Taking taylor expansion of i in alpha
4.532 * [backup-simplify]: Simplify i into i
4.532 * [backup-simplify]: Simplify (* 0 i) into 0
4.532 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 i)) into i
4.533 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
4.533 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 (pow i 2))) (* 2 (/ 1 (pow alpha 2)))) in alpha
4.533 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow i 2))) in alpha
4.533 * [taylor]: Taking taylor expansion of 4.0 in alpha
4.533 * [backup-simplify]: Simplify 4.0 into 4.0
4.533 * [taylor]: Taking taylor expansion of (/ 1 (pow i 2)) in alpha
4.533 * [taylor]: Taking taylor expansion of (pow i 2) in alpha
4.533 * [taylor]: Taking taylor expansion of i in alpha
4.533 * [backup-simplify]: Simplify i into i
4.533 * [backup-simplify]: Simplify (* i i) into (pow i 2)
4.533 * [backup-simplify]: Simplify (/ 1 (pow i 2)) into (/ 1 (pow i 2))
4.533 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow alpha 2))) in alpha
4.533 * [taylor]: Taking taylor expansion of 2 in alpha
4.533 * [backup-simplify]: Simplify 2 into 2
4.533 * [taylor]: Taking taylor expansion of (/ 1 (pow alpha 2)) in alpha
4.533 * [taylor]: Taking taylor expansion of (pow alpha 2) in alpha
4.533 * [taylor]: Taking taylor expansion of alpha in alpha
4.533 * [backup-simplify]: Simplify 0 into 0
4.533 * [backup-simplify]: Simplify 1 into 1
4.534 * [backup-simplify]: Simplify (* 1 1) into 1
4.534 * [backup-simplify]: Simplify (/ 1 1) into 1
4.535 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 i))) into 0
4.535 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
4.535 * [backup-simplify]: Simplify (+ (* 6.0 0) (* 0 (/ 1 i))) into 0
4.535 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow i 2))) into (/ 4.0 (pow i 2))
4.536 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.537 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.538 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.538 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.539 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0
4.539 * [backup-simplify]: Simplify (+ (/ 4.0 (pow i 2)) 0) into (* 4.0 (/ 1 (pow i 2)))
4.540 * [backup-simplify]: Simplify (+ 0 (* 4.0 (/ 1 (pow i 2)))) into (* 4.0 (/ 1 (pow i 2)))
4.540 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow i 2))) in i
4.540 * [taylor]: Taking taylor expansion of 4.0 in i
4.540 * [backup-simplify]: Simplify 4.0 into 4.0
4.540 * [taylor]: Taking taylor expansion of (/ 1 (pow i 2)) in i
4.540 * [taylor]: Taking taylor expansion of (pow i 2) in i
4.540 * [taylor]: Taking taylor expansion of i in i
4.540 * [backup-simplify]: Simplify 0 into 0
4.540 * [backup-simplify]: Simplify 1 into 1
4.540 * [backup-simplify]: Simplify (* 1 1) into 1
4.541 * [backup-simplify]: Simplify (/ 1 1) into 1
4.541 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.542 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.543 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.544 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.544 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.545 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.546 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.546 * [backup-simplify]: Simplify 0 into 0
4.547 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.551 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0
4.552 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
4.552 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 (/ 1 i))) into 0
4.552 * [backup-simplify]: Simplify (+ 0 0) into 0
4.553 * [backup-simplify]: Simplify (- 0) into 0
4.553 * [taylor]: Taking taylor expansion of 0 in i
4.553 * [backup-simplify]: Simplify 0 into 0
4.553 * [backup-simplify]: Simplify 0 into 0
4.553 * [backup-simplify]: Simplify 0 into 0
4.553 * [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)))))
4.553 * [approximate]: Taking taylor expansion of (* -1 (/ (- (/ 1 alpha) (/ 1 beta)) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))))) in (beta alpha i) around 0
4.553 * [taylor]: Taking taylor expansion of (* -1 (/ (- (/ 1 alpha) (/ 1 beta)) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))))) in i
4.554 * [taylor]: Taking taylor expansion of -1 in i
4.554 * [backup-simplify]: Simplify -1 into -1
4.554 * [taylor]: Taking taylor expansion of (/ (- (/ 1 alpha) (/ 1 beta)) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) in i
4.554 * [taylor]: Taking taylor expansion of (- (/ 1 alpha) (/ 1 beta)) in i
4.554 * [taylor]: Taking taylor expansion of (/ 1 alpha) in i
4.554 * [taylor]: Taking taylor expansion of alpha in i
4.554 * [backup-simplify]: Simplify alpha into alpha
4.554 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
4.554 * [taylor]: Taking taylor expansion of (/ 1 beta) in i
4.554 * [taylor]: Taking taylor expansion of beta in i
4.554 * [backup-simplify]: Simplify beta into beta
4.554 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
4.554 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in i
4.554 * [taylor]: Taking taylor expansion of (/ 1 alpha) in i
4.554 * [taylor]: Taking taylor expansion of alpha in i
4.554 * [backup-simplify]: Simplify alpha into alpha
4.554 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
4.554 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in i
4.554 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in i
4.554 * [taylor]: Taking taylor expansion of 2.0 in i
4.554 * [backup-simplify]: Simplify 2.0 into 2.0
4.554 * [taylor]: Taking taylor expansion of (/ 1 i) in i
4.554 * [taylor]: Taking taylor expansion of i in i
4.554 * [backup-simplify]: Simplify 0 into 0
4.554 * [backup-simplify]: Simplify 1 into 1
4.555 * [backup-simplify]: Simplify (/ 1 1) into 1
4.555 * [taylor]: Taking taylor expansion of (/ 1 beta) in i
4.555 * [taylor]: Taking taylor expansion of beta in i
4.555 * [backup-simplify]: Simplify beta into beta
4.555 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
4.555 * [backup-simplify]: Simplify (- (/ 1 beta)) into (- (/ 1 beta))
4.555 * [backup-simplify]: Simplify (+ (/ 1 alpha) (- (/ 1 beta))) into (- (/ 1 alpha) (/ 1 beta))
4.555 * [backup-simplify]: Simplify (* 2.0 1) into 2.0
4.556 * [backup-simplify]: Simplify (+ 2.0 0) into 2.0
4.556 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
4.556 * [backup-simplify]: Simplify (/ (- (/ 1 alpha) (/ 1 beta)) 2.0) into (* 0.5 (- (/ 1 alpha) (/ 1 beta)))
4.556 * [taylor]: Taking taylor expansion of (* -1 (/ (- (/ 1 alpha) (/ 1 beta)) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))))) in alpha
4.556 * [taylor]: Taking taylor expansion of -1 in alpha
4.556 * [backup-simplify]: Simplify -1 into -1
4.557 * [taylor]: Taking taylor expansion of (/ (- (/ 1 alpha) (/ 1 beta)) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) in alpha
4.557 * [taylor]: Taking taylor expansion of (- (/ 1 alpha) (/ 1 beta)) in alpha
4.557 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
4.557 * [taylor]: Taking taylor expansion of alpha in alpha
4.557 * [backup-simplify]: Simplify 0 into 0
4.557 * [backup-simplify]: Simplify 1 into 1
4.557 * [backup-simplify]: Simplify (/ 1 1) into 1
4.557 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
4.557 * [taylor]: Taking taylor expansion of beta in alpha
4.557 * [backup-simplify]: Simplify beta into beta
4.557 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
4.557 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in alpha
4.557 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
4.557 * [taylor]: Taking taylor expansion of alpha in alpha
4.557 * [backup-simplify]: Simplify 0 into 0
4.557 * [backup-simplify]: Simplify 1 into 1
4.558 * [backup-simplify]: Simplify (/ 1 1) into 1
4.558 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in alpha
4.558 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
4.558 * [taylor]: Taking taylor expansion of 2.0 in alpha
4.558 * [backup-simplify]: Simplify 2.0 into 2.0
4.558 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
4.558 * [taylor]: Taking taylor expansion of i in alpha
4.558 * [backup-simplify]: Simplify i into i
4.558 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
4.558 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
4.558 * [taylor]: Taking taylor expansion of beta in alpha
4.558 * [backup-simplify]: Simplify beta into beta
4.558 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
4.558 * [backup-simplify]: Simplify (+ 1 0) into 1
4.559 * [backup-simplify]: Simplify (+ 1 0) into 1
4.559 * [backup-simplify]: Simplify (/ 1 1) into 1
4.559 * [taylor]: Taking taylor expansion of (* -1 (/ (- (/ 1 alpha) (/ 1 beta)) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))))) in beta
4.559 * [taylor]: Taking taylor expansion of -1 in beta
4.559 * [backup-simplify]: Simplify -1 into -1
4.559 * [taylor]: Taking taylor expansion of (/ (- (/ 1 alpha) (/ 1 beta)) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) in beta
4.559 * [taylor]: Taking taylor expansion of (- (/ 1 alpha) (/ 1 beta)) in beta
4.559 * [taylor]: Taking taylor expansion of (/ 1 alpha) in beta
4.559 * [taylor]: Taking taylor expansion of alpha in beta
4.559 * [backup-simplify]: Simplify alpha into alpha
4.559 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
4.559 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
4.559 * [taylor]: Taking taylor expansion of beta in beta
4.560 * [backup-simplify]: Simplify 0 into 0
4.560 * [backup-simplify]: Simplify 1 into 1
4.560 * [backup-simplify]: Simplify (/ 1 1) into 1
4.560 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in beta
4.560 * [taylor]: Taking taylor expansion of (/ 1 alpha) in beta
4.560 * [taylor]: Taking taylor expansion of alpha in beta
4.560 * [backup-simplify]: Simplify alpha into alpha
4.560 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
4.560 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in beta
4.560 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in beta
4.560 * [taylor]: Taking taylor expansion of 2.0 in beta
4.560 * [backup-simplify]: Simplify 2.0 into 2.0
4.560 * [taylor]: Taking taylor expansion of (/ 1 i) in beta
4.560 * [taylor]: Taking taylor expansion of i in beta
4.560 * [backup-simplify]: Simplify i into i
4.560 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
4.560 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
4.560 * [taylor]: Taking taylor expansion of beta in beta
4.560 * [backup-simplify]: Simplify 0 into 0
4.560 * [backup-simplify]: Simplify 1 into 1
4.561 * [backup-simplify]: Simplify (/ 1 1) into 1
4.561 * [backup-simplify]: Simplify (- 1) into -1
4.561 * [backup-simplify]: Simplify (+ 0 -1) into -1
4.562 * [backup-simplify]: Simplify (+ 0 1) into 1
4.562 * [backup-simplify]: Simplify (+ 0 1) into 1
4.563 * [backup-simplify]: Simplify (/ -1 1) into -1
4.563 * [taylor]: Taking taylor expansion of (* -1 (/ (- (/ 1 alpha) (/ 1 beta)) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))))) in beta
4.563 * [taylor]: Taking taylor expansion of -1 in beta
4.563 * [backup-simplify]: Simplify -1 into -1
4.563 * [taylor]: Taking taylor expansion of (/ (- (/ 1 alpha) (/ 1 beta)) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) in beta
4.563 * [taylor]: Taking taylor expansion of (- (/ 1 alpha) (/ 1 beta)) in beta
4.563 * [taylor]: Taking taylor expansion of (/ 1 alpha) in beta
4.563 * [taylor]: Taking taylor expansion of alpha in beta
4.563 * [backup-simplify]: Simplify alpha into alpha
4.563 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
4.563 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
4.563 * [taylor]: Taking taylor expansion of beta in beta
4.563 * [backup-simplify]: Simplify 0 into 0
4.563 * [backup-simplify]: Simplify 1 into 1
4.563 * [backup-simplify]: Simplify (/ 1 1) into 1
4.563 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in beta
4.564 * [taylor]: Taking taylor expansion of (/ 1 alpha) in beta
4.564 * [taylor]: Taking taylor expansion of alpha in beta
4.564 * [backup-simplify]: Simplify alpha into alpha
4.564 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
4.564 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in beta
4.564 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in beta
4.564 * [taylor]: Taking taylor expansion of 2.0 in beta
4.564 * [backup-simplify]: Simplify 2.0 into 2.0
4.564 * [taylor]: Taking taylor expansion of (/ 1 i) in beta
4.564 * [taylor]: Taking taylor expansion of i in beta
4.564 * [backup-simplify]: Simplify i into i
4.564 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
4.564 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
4.564 * [taylor]: Taking taylor expansion of beta in beta
4.564 * [backup-simplify]: Simplify 0 into 0
4.564 * [backup-simplify]: Simplify 1 into 1
4.564 * [backup-simplify]: Simplify (/ 1 1) into 1
4.565 * [backup-simplify]: Simplify (- 1) into -1
4.565 * [backup-simplify]: Simplify (+ 0 -1) into -1
4.565 * [backup-simplify]: Simplify (+ 0 1) into 1
4.566 * [backup-simplify]: Simplify (+ 0 1) into 1
4.566 * [backup-simplify]: Simplify (/ -1 1) into -1
4.567 * [backup-simplify]: Simplify (* -1 -1) into 1
4.567 * [taylor]: Taking taylor expansion of 1 in alpha
4.567 * [backup-simplify]: Simplify 1 into 1
4.567 * [taylor]: Taking taylor expansion of 1 in i
4.567 * [backup-simplify]: Simplify 1 into 1
4.567 * [backup-simplify]: Simplify 0 into 0
4.567 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.568 * [backup-simplify]: Simplify (- 0) into 0
4.568 * [backup-simplify]: Simplify (+ (/ 1 alpha) 0) into (/ 1 alpha)
4.568 * [backup-simplify]: Simplify (* 2.0 (/ 1 i)) into (/ 2.0 i)
4.569 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.569 * [backup-simplify]: Simplify (+ (/ 2.0 i) 0) into (* 2.0 (/ 1 i))
4.569 * [backup-simplify]: Simplify (+ (/ 1 alpha) (* 2.0 (/ 1 i))) into (+ (/ 1 alpha) (* 2.0 (/ 1 i)))
4.569 * [backup-simplify]: Simplify (- (/ (/ 1 alpha) 1) (+ (* -1 (/ (+ (/ 1 alpha) (* 2.0 (/ 1 i))) 1)))) into (+ (* 2 (/ 1 alpha)) (* 2.0 (/ 1 i)))
4.570 * [backup-simplify]: Simplify (+ (* -1 (+ (* 2 (/ 1 alpha)) (* 2.0 (/ 1 i)))) (* 0 -1)) into (- (+ (* 2 (/ 1 alpha)) (* 2.0 (/ 1 i))))
4.570 * [taylor]: Taking taylor expansion of (- (+ (* 2 (/ 1 alpha)) (* 2.0 (/ 1 i)))) in alpha
4.570 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 alpha)) (* 2.0 (/ 1 i))) in alpha
4.570 * [taylor]: Taking taylor expansion of (* 2 (/ 1 alpha)) in alpha
4.570 * [taylor]: Taking taylor expansion of 2 in alpha
4.570 * [backup-simplify]: Simplify 2 into 2
4.570 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
4.570 * [taylor]: Taking taylor expansion of alpha in alpha
4.570 * [backup-simplify]: Simplify 0 into 0
4.570 * [backup-simplify]: Simplify 1 into 1
4.571 * [backup-simplify]: Simplify (/ 1 1) into 1
4.571 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
4.571 * [taylor]: Taking taylor expansion of 2.0 in alpha
4.571 * [backup-simplify]: Simplify 2.0 into 2.0
4.571 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
4.571 * [taylor]: Taking taylor expansion of i in alpha
4.571 * [backup-simplify]: Simplify i into i
4.571 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
4.571 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.572 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0
4.572 * [backup-simplify]: Simplify (* 2.0 (/ 1 i)) into (/ 2.0 i)
4.572 * [backup-simplify]: Simplify (+ 0 (/ 2.0 i)) into (* 2.0 (/ 1 i))
4.572 * [backup-simplify]: Simplify (- (* 2.0 (/ 1 i))) into (- (* 2.0 (/ 1 i)))
4.573 * [taylor]: Taking taylor expansion of (- (* 2.0 (/ 1 i))) in i
4.573 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in i
4.573 * [taylor]: Taking taylor expansion of 2.0 in i
4.573 * [backup-simplify]: Simplify 2.0 into 2.0
4.573 * [taylor]: Taking taylor expansion of (/ 1 i) in i
4.573 * [taylor]: Taking taylor expansion of i in i
4.573 * [backup-simplify]: Simplify 0 into 0
4.573 * [backup-simplify]: Simplify 1 into 1
4.573 * [backup-simplify]: Simplify (/ 1 1) into 1
4.574 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.575 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.575 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 1))) into 0
4.576 * [backup-simplify]: Simplify (- 0) into 0
4.576 * [backup-simplify]: Simplify 0 into 0
4.576 * [taylor]: Taking taylor expansion of 0 in i
4.576 * [backup-simplify]: Simplify 0 into 0
4.576 * [backup-simplify]: Simplify 0 into 0
4.576 * [backup-simplify]: Simplify 0 into 0
4.576 * [backup-simplify]: Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)))) into 0
4.577 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.577 * [backup-simplify]: Simplify (- 0) into 0
4.578 * [backup-simplify]: Simplify (+ 0 0) into 0
4.578 * [backup-simplify]: Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)))) into 0
4.578 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
4.578 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 (/ 1 i))) into 0
4.579 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.580 * [backup-simplify]: Simplify (+ 0 0) into 0
4.580 * [backup-simplify]: Simplify (+ 0 0) into 0
4.581 * [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))))))
4.583 * [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)))))
4.583 * [taylor]: Taking taylor expansion of (+ (* 6.0 (/ 1 (* alpha i))) (+ (* 4.0 (/ 1 (pow i 2))) (* 2 (/ 1 (pow alpha 2))))) in alpha
4.583 * [taylor]: Taking taylor expansion of (* 6.0 (/ 1 (* alpha i))) in alpha
4.583 * [taylor]: Taking taylor expansion of 6.0 in alpha
4.583 * [backup-simplify]: Simplify 6.0 into 6.0
4.583 * [taylor]: Taking taylor expansion of (/ 1 (* alpha i)) in alpha
4.583 * [taylor]: Taking taylor expansion of (* alpha i) in alpha
4.583 * [taylor]: Taking taylor expansion of alpha in alpha
4.583 * [backup-simplify]: Simplify 0 into 0
4.583 * [backup-simplify]: Simplify 1 into 1
4.583 * [taylor]: Taking taylor expansion of i in alpha
4.583 * [backup-simplify]: Simplify i into i
4.583 * [backup-simplify]: Simplify (* 0 i) into 0
4.584 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 i)) into i
4.584 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
4.584 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 (pow i 2))) (* 2 (/ 1 (pow alpha 2)))) in alpha
4.584 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow i 2))) in alpha
4.584 * [taylor]: Taking taylor expansion of 4.0 in alpha
4.584 * [backup-simplify]: Simplify 4.0 into 4.0
4.584 * [taylor]: Taking taylor expansion of (/ 1 (pow i 2)) in alpha
4.584 * [taylor]: Taking taylor expansion of (pow i 2) in alpha
4.584 * [taylor]: Taking taylor expansion of i in alpha
4.584 * [backup-simplify]: Simplify i into i
4.584 * [backup-simplify]: Simplify (* i i) into (pow i 2)
4.584 * [backup-simplify]: Simplify (/ 1 (pow i 2)) into (/ 1 (pow i 2))
4.584 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow alpha 2))) in alpha
4.584 * [taylor]: Taking taylor expansion of 2 in alpha
4.584 * [backup-simplify]: Simplify 2 into 2
4.584 * [taylor]: Taking taylor expansion of (/ 1 (pow alpha 2)) in alpha
4.584 * [taylor]: Taking taylor expansion of (pow alpha 2) in alpha
4.584 * [taylor]: Taking taylor expansion of alpha in alpha
4.584 * [backup-simplify]: Simplify 0 into 0
4.584 * [backup-simplify]: Simplify 1 into 1
4.585 * [backup-simplify]: Simplify (* 1 1) into 1
4.585 * [backup-simplify]: Simplify (/ 1 1) into 1
4.586 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 i))) into 0
4.586 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
4.586 * [backup-simplify]: Simplify (+ (* 6.0 0) (* 0 (/ 1 i))) into 0
4.587 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow i 2))) into (/ 4.0 (pow i 2))
4.587 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.588 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.589 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.589 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.590 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0
4.591 * [backup-simplify]: Simplify (+ (/ 4.0 (pow i 2)) 0) into (* 4.0 (/ 1 (pow i 2)))
4.591 * [backup-simplify]: Simplify (+ 0 (* 4.0 (/ 1 (pow i 2)))) into (* 4.0 (/ 1 (pow i 2)))
4.591 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow i 2))) in i
4.591 * [taylor]: Taking taylor expansion of 4.0 in i
4.591 * [backup-simplify]: Simplify 4.0 into 4.0
4.591 * [taylor]: Taking taylor expansion of (/ 1 (pow i 2)) in i
4.591 * [taylor]: Taking taylor expansion of (pow i 2) in i
4.591 * [taylor]: Taking taylor expansion of i in i
4.591 * [backup-simplify]: Simplify 0 into 0
4.591 * [backup-simplify]: Simplify 1 into 1
4.591 * [backup-simplify]: Simplify (* 1 1) into 1
4.592 * [backup-simplify]: Simplify (/ 1 1) into 1
4.593 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.593 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.594 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.595 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.595 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.596 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.597 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.597 * [backup-simplify]: Simplify 0 into 0
4.598 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.599 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0
4.599 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
4.600 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 (/ 1 i))) into 0
4.600 * [backup-simplify]: Simplify (+ 0 0) into 0
4.600 * [backup-simplify]: Simplify (- 0) into 0
4.600 * [taylor]: Taking taylor expansion of 0 in i
4.600 * [backup-simplify]: Simplify 0 into 0
4.600 * [backup-simplify]: Simplify 0 into 0
4.600 * [backup-simplify]: Simplify 0 into 0
4.600 * * * [progress]: simplifying candidates
4.610 * [simplify]: Simplifying:
  (* (+ 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))
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  (/ (/ (+ (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)))
  (- (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))
  (- (* 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
  0
  0
  0
4.615 * [simplify]: Sending expressions to egg_math:
 (* (+ h2 h1) (/ (/ (- h1 h2) (+ (+ h2 h1) (* 2.0 h0))) (+ (+ (+ h2 h1) (* 2.0 h0)) 2.0)))
 (+ (log (+ h2 h1)) (- (- (log (- h1 h2)) (log (+ (+ h2 h1) (* 2.0 h0)))) (log (+ (+ (+ h2 h1) (* 2.0 h0)) 2.0))))
 (+ (log (+ h2 h1)) (- (log (/ (- h1 h2) (+ (+ h2 h1) (* 2.0 h0)))) (log (+ (+ (+ h2 h1) (* 2.0 h0)) 2.0))))
 (+ (log (+ h2 h1)) (log (/ (/ (- h1 h2) (+ (+ h2 h1) (* 2.0 h0))) (+ (+ (+ h2 h1) (* 2.0 h0)) 2.0))))
 (log (* (+ h2 h1) (/ (/ (- h1 h2) (+ (+ h2 h1) (* 2.0 h0))) (+ (+ (+ h2 h1) (* 2.0 h0)) 2.0))))
 (exp (* (+ h2 h1) (/ (/ (- h1 h2) (+ (+ h2 h1) (* 2.0 h0))) (+ (+ (+ h2 h1) (* 2.0 h0)) 2.0))))
 (* (* (* (+ h2 h1) (+ h2 h1)) (+ h2 h1)) (/ (/ (* (* (- h1 h2) (- h1 h2)) (- h1 h2)) (* (* (+ (+ h2 h1) (* 2.0 h0)) (+ (+ h2 h1) (* 2.0 h0))) (+ (+ h2 h1) (* 2.0 h0)))) (* (* (+ (+ (+ h2 h1) (* 2.0 h0)) 2.0) (+ (+ (+ h2 h1) (* 2.0 h0)) 2.0)) (+ (+ (+ h2 h1) (* 2.0 h0)) 2.0))))
 (* (* (* (+ h2 h1) (+ h2 h1)) (+ h2 h1)) (/ (* (* (/ (- h1 h2) (+ (+ h2 h1) (* 2.0 h0))) (/ (- h1 h2) (+ (+ h2 h1) (* 2.0 h0)))) (/ (- h1 h2) (+ (+ h2 h1) (* 2.0 h0)))) (* (* (+ (+ (+ h2 h1) (* 2.0 h0)) 2.0) (+ (+ (+ h2 h1) (* 2.0 h0)) 2.0)) (+ (+ (+ h2 h1) (* 2.0 h0)) 2.0))))
 (* (* (* (+ h2 h1) (+ h2 h1)) (+ h2 h1)) (* (* (/ (/ (- h1 h2) (+ (+ h2 h1) (* 2.0 h0))) (+ (+ (+ h2 h1) (* 2.0 h0)) 2.0)) (/ (/ (- h1 h2) (+ (+ h2 h1) (* 2.0 h0))) (+ (+ (+ h2 h1) (* 2.0 h0)) 2.0))) (/ (/ (- h1 h2) (+ (+ h2 h1) (* 2.0 h0))) (+ (+ (+ h2 h1) (* 2.0 h0)) 2.0))))
 (* (cbrt (* (+ h2 h1) (/ (/ (- h1 h2) (+ (+ h2 h1) (* 2.0 h0))) (+ (+ (+ h2 h1) (* 2.0 h0)) 2.0)))) (cbrt (* (+ h2 h1) (/ (/ (- h1 h2) (+ (+ h2 h1) (* 2.0 h0))) (+ (+ (+ h2 h1) (* 2.0 h0)) 2.0)))))
 (cbrt (* (+ h2 h1) (/ (/ (- h1 h2) (+ (+ h2 h1) (* 2.0 h0))) (+ (+ (+ h2 h1) (* 2.0 h0)) 2.0))))
 (* (* (* (+ h2 h1) (/ (/ (- h1 h2) (+ (+ h2 h1) (* 2.0 h0))) (+ (+ (+ h2 h1) (* 2.0 h0)) 2.0))) (* (+ h2 h1) (/ (/ (- h1 h2) (+ (+ h2 h1) (* 2.0 h0))) (+ (+ (+ h2 h1) (* 2.0 h0)) 2.0)))) (* (+ h2 h1) (/ (/ (- h1 h2) (+ (+ h2 h1) (* 2.0 h0))) (+ (+ (+ h2 h1) (* 2.0 h0)) 2.0))))
 (sqrt (* (+ h2 h1) (/ (/ (- h1 h2) (+ (+ h2 h1) (* 2.0 h0))) (+ (+ (+ h2 h1) (* 2.0 h0)) 2.0))))
 (sqrt (* (+ h2 h1) (/ (/ (- h1 h2) (+ (+ h2 h1) (* 2.0 h0))) (+ (+ (+ h2 h1) (* 2.0 h0)) 2.0))))
 (* (+ (pow h2 3) (pow h1 3)) (/ (- h1 h2) (+ (+ h2 h1) (* 2.0 h0))))
 (* (+ (* h2 h2) (- (* h1 h1) (* h2 h1))) (+ (+ (+ h2 h1) (* 2.0 h0)) 2.0))
 (* (- (* h2 h2) (* h1 h1)) (/ (- h1 h2) (+ (+ h2 h1) (* 2.0 h0))))
 (* (- h2 h1) (+ (+ (+ h2 h1) (* 2.0 h0)) 2.0))
 (* (sqrt (+ h2 h1)) (sqrt (/ (/ (- h1 h2) (+ (+ h2 h1) (* 2.0 h0))) (+ (+ (+ h2 h1) (* 2.0 h0)) 2.0))))
 (* (sqrt (+ h2 h1)) (sqrt (/ (/ (- h1 h2) (+ (+ h2 h1) (* 2.0 h0))) (+ (+ (+ h2 h1) (* 2.0 h0)) 2.0))))
 (* (sqrt (+ h2 h1)) (/ (sqrt (/ (- h1 h2) (+ (+ h2 h1) (* 2.0 h0)))) (sqrt (+ (+ (+ h2 h1) (* 2.0 h0)) 2.0))))
 (* (sqrt (+ h2 h1)) (/ (sqrt (/ (- h1 h2) (+ (+ h2 h1) (* 2.0 h0)))) (sqrt (+ (+ (+ h2 h1) (* 2.0 h0)) 2.0))))
 (* (sqrt (+ h2 h1)) (/ (/ (sqrt (- h1 h2)) (sqrt (+ (+ h2 h1) (* 2.0 h0)))) (sqrt (+ (+ (+ h2 h1) (* 2.0 h0)) 2.0))))
 (* (sqrt (+ h2 h1)) (/ (/ (sqrt (- h1 h2)) (sqrt (+ (+ h2 h1) (* 2.0 h0)))) (sqrt (+ (+ (+ h2 h1) (* 2.0 h0)) 2.0))))
 (* (+ h2 h1) (* (cbrt (/ (/ (- h1 h2) (+ (+ h2 h1) (* 2.0 h0))) (+ (+ (+ h2 h1) (* 2.0 h0)) 2.0))) (cbrt (/ (/ (- h1 h2) (+ (+ h2 h1) (* 2.0 h0))) (+ (+ (+ h2 h1) (* 2.0 h0)) 2.0)))))
 (* (+ h2 h1) (sqrt (/ (/ (- h1 h2) (+ (+ h2 h1) (* 2.0 h0))) (+ (+ (+ h2 h1) (* 2.0 h0)) 2.0))))
 (* (+ h2 h1) (/ (* (cbrt (/ (- h1 h2) (+ (+ h2 h1) (* 2.0 h0)))) (cbrt (/ (- h1 h2) (+ (+ h2 h1) (* 2.0 h0))))) (* (cbrt (+ (+ (+ h2 h1) (* 2.0 h0)) 2.0)) (cbrt (+ (+ (+ h2 h1) (* 2.0 h0)) 2.0)))))
 (* (+ h2 h1) (/ (* (cbrt (/ (- h1 h2) (+ (+ h2 h1) (* 2.0 h0)))) (cbrt (/ (- h1 h2) (+ (+ h2 h1) (* 2.0 h0))))) (sqrt (+ (+ (+ h2 h1) (* 2.0 h0)) 2.0))))
 (* (+ h2 h1) (/ (* (cbrt (/ (- h1 h2) (+ (+ h2 h1) (* 2.0 h0)))) (cbrt (/ (- h1 h2) (+ (+ h2 h1) (* 2.0 h0))))) 1))
 (* (+ h2 h1) (/ (* (cbrt (/ (- h1 h2) (+ (+ h2 h1) (* 2.0 h0)))) (cbrt (/ (- h1 h2) (+ (+ h2 h1) (* 2.0 h0))))) 1))
 (* (+ h2 h1) (/ (sqrt (/ (- h1 h2) (+ (+ h2 h1) (* 2.0 h0)))) (* (cbrt (+ (+ (+ h2 h1) (* 2.0 h0)) 2.0)) (cbrt (+ (+ (+ h2 h1) (* 2.0 h0)) 2.0)))))
 (* (+ h2 h1) (/ (sqrt (/ (- h1 h2) (+ (+ h2 h1) (* 2.0 h0)))) (sqrt (+ (+ (+ h2 h1) (* 2.0 h0)) 2.0))))
 (* (+ h2 h1) (/ (sqrt (/ (- h1 h2) (+ (+ h2 h1) (* 2.0 h0)))) 1))
 (* (+ h2 h1) (/ (sqrt (/ (- h1 h2) (+ (+ h2 h1) (* 2.0 h0)))) 1))
 (* (+ h2 h1) (/ (/ (* (cbrt (- h1 h2)) (cbrt (- h1 h2))) (* (cbrt (+ (+ h2 h1) (* 2.0 h0))) (cbrt (+ (+ h2 h1) (* 2.0 h0))))) (* (cbrt (+ (+ (+ h2 h1) (* 2.0 h0)) 2.0)) (cbrt (+ (+ (+ h2 h1) (* 2.0 h0)) 2.0)))))
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 (exp (/ (- h1 h2) (+ (+ h2 h1) (* 2.0 h0))))
 (/ (* (* (- h1 h2) (- h1 h2)) (- h1 h2)) (* (* (+ (+ h2 h1) (* 2.0 h0)) (+ (+ h2 h1) (* 2.0 h0))) (+ (+ h2 h1) (* 2.0 h0))))
 (* (cbrt (/ (- h1 h2) (+ (+ h2 h1) (* 2.0 h0)))) (cbrt (/ (- h1 h2) (+ (+ h2 h1) (* 2.0 h0)))))
 (cbrt (/ (- h1 h2) (+ (+ h2 h1) (* 2.0 h0))))
 (* (* (/ (- h1 h2) (+ (+ h2 h1) (* 2.0 h0))) (/ (- h1 h2) (+ (+ h2 h1) (* 2.0 h0)))) (/ (- h1 h2) (+ (+ h2 h1) (* 2.0 h0))))
 (sqrt (/ (- h1 h2) (+ (+ h2 h1) (* 2.0 h0))))
 (sqrt (/ (- h1 h2) (+ (+ h2 h1) (* 2.0 h0))))
 (- (- h1 h2))
 (- (+ (+ h2 h1) (* 2.0 h0)))
 (/ h1 (+ (+ h2 h1) (* 2.0 h0)))
 (/ h2 (+ (+ h2 h1) (* 2.0 h0)))
 (/ (* (cbrt (- h1 h2)) (cbrt (- h1 h2))) (* (cbrt (+ (+ h2 h1) (* 2.0 h0))) (cbrt (+ (+ h2 h1) (* 2.0 h0)))))
 (/ (cbrt (- h1 h2)) (cbrt (+ (+ h2 h1) (* 2.0 h0))))
 (/ (* (cbrt (- h1 h2)) (cbrt (- h1 h2))) (sqrt (+ (+ h2 h1) (* 2.0 h0))))
 (/ (cbrt (- h1 h2)) (sqrt (+ (+ h2 h1) (* 2.0 h0))))
 (/ (* (cbrt (- h1 h2)) (cbrt (- h1 h2))) 1)
 (/ (cbrt (- h1 h2)) (+ (+ h2 h1) (* 2.0 h0)))
 (/ (sqrt (- h1 h2)) (* (cbrt (+ (+ h2 h1) (* 2.0 h0))) (cbrt (+ (+ h2 h1) (* 2.0 h0)))))
 (/ (sqrt (- h1 h2)) (cbrt (+ (+ h2 h1) (* 2.0 h0))))
 (/ (sqrt (- h1 h2)) (sqrt (+ (+ h2 h1) (* 2.0 h0))))
 (/ (sqrt (- h1 h2)) (sqrt (+ (+ h2 h1) (* 2.0 h0))))
 (/ (sqrt (- h1 h2)) 1)
 (/ (sqrt (- h1 h2)) (+ (+ h2 h1) (* 2.0 h0)))
 (/ 1 (* (cbrt (+ (+ h2 h1) (* 2.0 h0))) (cbrt (+ (+ h2 h1) (* 2.0 h0)))))
 (/ (- h1 h2) (cbrt (+ (+ h2 h1) (* 2.0 h0))))
 (/ 1 (sqrt (+ (+ h2 h1) (* 2.0 h0))))
 (/ (- h1 h2) (sqrt (+ (+ h2 h1) (* 2.0 h0))))
 (/ 1 1)
 (/ (- h1 h2) (+ (+ h2 h1) (* 2.0 h0)))
 (/ (+ (sqrt h1) (sqrt h2)) (* (cbrt (+ (+ h2 h1) (* 2.0 h0))) (cbrt (+ (+ h2 h1) (* 2.0 h0)))))
 (/ (- (sqrt h1) (sqrt h2)) (cbrt (+ (+ h2 h1) (* 2.0 h0))))
 (/ (+ (sqrt h1) (sqrt h2)) (sqrt (+ (+ h2 h1) (* 2.0 h0))))
 (/ (- (sqrt h1) (sqrt h2)) (sqrt (+ (+ h2 h1) (* 2.0 h0))))
 (/ (+ (sqrt h1) (sqrt h2)) 1)
 (/ (- (sqrt h1) (sqrt h2)) (+ (+ h2 h1) (* 2.0 h0)))
 (/ 1 (* (cbrt (+ (+ h2 h1) (* 2.0 h0))) (cbrt (+ (+ h2 h1) (* 2.0 h0)))))
 (/ (- h1 h2) (cbrt (+ (+ h2 h1) (* 2.0 h0))))
 (/ 1 (sqrt (+ (+ h2 h1) (* 2.0 h0))))
 (/ (- h1 h2) (sqrt (+ (+ h2 h1) (* 2.0 h0))))
 (/ 1 1)
 (/ (- h1 h2) (+ (+ h2 h1) (* 2.0 h0)))
 (/ 1 (+ (+ h2 h1) (* 2.0 h0)))
 (/ (+ (+ h2 h1) (* 2.0 h0)) (- h1 h2))
 (/ (- h1 h2) (* (cbrt (+ (+ h2 h1) (* 2.0 h0))) (cbrt (+ (+ h2 h1) (* 2.0 h0)))))
 (/ (- h1 h2) (sqrt (+ (+ h2 h1) (* 2.0 h0))))
 (/ (- h1 h2) 1)
 (/ (+ (+ h2 h1) (* 2.0 h0)) (cbrt (- h1 h2)))
 (/ (+ (+ h2 h1) (* 2.0 h0)) (sqrt (- h1 h2)))
 (/ (+ (+ h2 h1) (* 2.0 h0)) (- h1 h2))
 (/ (+ (+ h2 h1) (* 2.0 h0)) (- (sqrt h1) (sqrt h2)))
 (/ (+ (+ h2 h1) (* 2.0 h0)) (- h1 h2))
 (/ (- h1 h2) (+ (pow (+ h2 h1) 3) (pow (* 2.0 h0) 3)))
 (/ (- h1 h2) (- (* (+ h2 h1) (+ h2 h1)) (* (* 2.0 h0) (* 2.0 h0))))
 (* (+ (+ h2 h1) (* 2.0 h0)) (+ (* h1 h1) (+ (* h2 h2) (* h1 h2))))
 (* (+ (+ h2 h1) (* 2.0 h0)) (+ h1 h2))
 (- (* (/ 1.0 4.0) (pow h2 2)) (+ (* (/ 1.0 8.0) (pow h2 3)) (* (/ 1.0 4.0) (pow h1 2))))
 0
 0
 (- (+ 1.0 (* (/ 1.0 4.0) (pow h2 2))) (* (/ 1.0 4.0) (pow h1 2)))
 (- (+ (* 2.0 (/ 1 h2)) (* 8.0 (/ 1 (pow h2 3)))) (* 4.0 (/ 1 (pow h2 2))))
 (- (+ (* 2.0 (/ 1 h2)) (* 8.0 (/ 1 (pow h2 3)))) (* 4.0 (/ 1 (pow h2 2))))
 (- (+ (* (/ 1.0 4.0) h2) (* (/ 1.0 8.0) (pow h1 2))) (* (/ 1.0 4.0) h1))
 0
 0
 0
 0
 0
4.690 * * * [progress]: adding candidates to table
5.657 * * [progress]: iteration 3 / 4
5.657 * * * [progress]: picking best candidate
5.681 * * * * [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))>
5.681 * * * [progress]: localizing error
5.701 * * * [progress]: generating rewritten candidates
5.701 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 1 1)
6.181 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 1)
6.344 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1 1 2)
6.618 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1)
7.010 * * * [progress]: generating series expansions
7.010 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 1 1)
7.010 * [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)))))
7.011 * [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
7.011 * [taylor]: Taking taylor expansion of (/ (* (+ alpha beta) (- beta alpha)) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta))))) in i
7.011 * [taylor]: Taking taylor expansion of (* (+ alpha beta) (- beta alpha)) in i
7.011 * [taylor]: Taking taylor expansion of (+ alpha beta) in i
7.011 * [taylor]: Taking taylor expansion of alpha in i
7.011 * [backup-simplify]: Simplify alpha into alpha
7.011 * [taylor]: Taking taylor expansion of beta in i
7.011 * [backup-simplify]: Simplify beta into beta
7.011 * [taylor]: Taking taylor expansion of (- beta alpha) in i
7.011 * [taylor]: Taking taylor expansion of beta in i
7.011 * [backup-simplify]: Simplify beta into beta
7.011 * [taylor]: Taking taylor expansion of alpha in i
7.011 * [backup-simplify]: Simplify alpha into alpha
7.011 * [taylor]: Taking taylor expansion of (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta)))) in i
7.011 * [taylor]: Taking taylor expansion of (+ alpha (+ (* 2.0 i) beta)) in i
7.011 * [taylor]: Taking taylor expansion of alpha in i
7.011 * [backup-simplify]: Simplify alpha into alpha
7.011 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in i
7.011 * [taylor]: Taking taylor expansion of (* 2.0 i) in i
7.011 * [taylor]: Taking taylor expansion of 2.0 in i
7.011 * [backup-simplify]: Simplify 2.0 into 2.0
7.011 * [taylor]: Taking taylor expansion of i in i
7.011 * [backup-simplify]: Simplify 0 into 0
7.011 * [backup-simplify]: Simplify 1 into 1
7.011 * [taylor]: Taking taylor expansion of beta in i
7.011 * [backup-simplify]: Simplify beta into beta
7.011 * [taylor]: Taking taylor expansion of (+ alpha (+ 2.0 (+ (* 2.0 i) beta))) in i
7.011 * [taylor]: Taking taylor expansion of alpha in i
7.011 * [backup-simplify]: Simplify alpha into alpha
7.011 * [taylor]: Taking taylor expansion of (+ 2.0 (+ (* 2.0 i) beta)) in i
7.011 * [taylor]: Taking taylor expansion of 2.0 in i
7.011 * [backup-simplify]: Simplify 2.0 into 2.0
7.011 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in i
7.011 * [taylor]: Taking taylor expansion of (* 2.0 i) in i
7.011 * [taylor]: Taking taylor expansion of 2.0 in i
7.011 * [backup-simplify]: Simplify 2.0 into 2.0
7.011 * [taylor]: Taking taylor expansion of i in i
7.011 * [backup-simplify]: Simplify 0 into 0
7.011 * [backup-simplify]: Simplify 1 into 1
7.011 * [taylor]: Taking taylor expansion of beta in i
7.012 * [backup-simplify]: Simplify beta into beta
7.012 * [backup-simplify]: Simplify (+ alpha beta) into (+ alpha beta)
7.012 * [backup-simplify]: Simplify (- alpha) into (- alpha)
7.012 * [backup-simplify]: Simplify (+ beta (- alpha)) into (- beta alpha)
7.012 * [backup-simplify]: Simplify (* (+ alpha beta) (- beta alpha)) into (* (+ alpha beta) (- beta alpha))
7.013 * [backup-simplify]: Simplify (* 2.0 0) into 0
7.013 * [backup-simplify]: Simplify (+ 0 beta) into beta
7.013 * [backup-simplify]: Simplify (+ alpha beta) into (+ alpha beta)
7.013 * [backup-simplify]: Simplify (* 2.0 0) into 0
7.013 * [backup-simplify]: Simplify (+ 0 beta) into beta
7.013 * [backup-simplify]: Simplify (+ 2.0 beta) into (+ beta 2.0)
7.013 * [backup-simplify]: Simplify (+ alpha (+ beta 2.0)) into (+ alpha (+ beta 2.0))
7.013 * [backup-simplify]: Simplify (* (+ alpha beta) (+ alpha (+ beta 2.0))) into (* (+ alpha beta) (+ alpha (+ beta 2.0)))
7.014 * [backup-simplify]: Simplify (/ (* (+ alpha beta) (- beta alpha)) (* (+ alpha beta) (+ alpha (+ beta 2.0)))) into (/ (- beta alpha) (+ alpha (+ beta 2.0)))
7.014 * [taylor]: Taking taylor expansion of (/ (* (+ alpha beta) (- beta alpha)) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta))))) in beta
7.014 * [taylor]: Taking taylor expansion of (* (+ alpha beta) (- beta alpha)) in beta
7.014 * [taylor]: Taking taylor expansion of (+ alpha beta) in beta
7.014 * [taylor]: Taking taylor expansion of alpha in beta
7.014 * [backup-simplify]: Simplify alpha into alpha
7.014 * [taylor]: Taking taylor expansion of beta in beta
7.014 * [backup-simplify]: Simplify 0 into 0
7.014 * [backup-simplify]: Simplify 1 into 1
7.014 * [taylor]: Taking taylor expansion of (- beta alpha) in beta
7.014 * [taylor]: Taking taylor expansion of beta in beta
7.014 * [backup-simplify]: Simplify 0 into 0
7.014 * [backup-simplify]: Simplify 1 into 1
7.014 * [taylor]: Taking taylor expansion of alpha in beta
7.014 * [backup-simplify]: Simplify alpha into alpha
7.014 * [taylor]: Taking taylor expansion of (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta)))) in beta
7.014 * [taylor]: Taking taylor expansion of (+ alpha (+ (* 2.0 i) beta)) in beta
7.014 * [taylor]: Taking taylor expansion of alpha in beta
7.014 * [backup-simplify]: Simplify alpha into alpha
7.014 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
7.014 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
7.014 * [taylor]: Taking taylor expansion of 2.0 in beta
7.014 * [backup-simplify]: Simplify 2.0 into 2.0
7.014 * [taylor]: Taking taylor expansion of i in beta
7.014 * [backup-simplify]: Simplify i into i
7.014 * [taylor]: Taking taylor expansion of beta in beta
7.014 * [backup-simplify]: Simplify 0 into 0
7.014 * [backup-simplify]: Simplify 1 into 1
7.014 * [taylor]: Taking taylor expansion of (+ alpha (+ 2.0 (+ (* 2.0 i) beta))) in beta
7.014 * [taylor]: Taking taylor expansion of alpha in beta
7.014 * [backup-simplify]: Simplify alpha into alpha
7.014 * [taylor]: Taking taylor expansion of (+ 2.0 (+ (* 2.0 i) beta)) in beta
7.014 * [taylor]: Taking taylor expansion of 2.0 in beta
7.014 * [backup-simplify]: Simplify 2.0 into 2.0
7.014 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
7.014 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
7.014 * [taylor]: Taking taylor expansion of 2.0 in beta
7.014 * [backup-simplify]: Simplify 2.0 into 2.0
7.015 * [taylor]: Taking taylor expansion of i in beta
7.015 * [backup-simplify]: Simplify i into i
7.015 * [taylor]: Taking taylor expansion of beta in beta
7.015 * [backup-simplify]: Simplify 0 into 0
7.015 * [backup-simplify]: Simplify 1 into 1
7.015 * [backup-simplify]: Simplify (+ alpha 0) into alpha
7.015 * [backup-simplify]: Simplify (- alpha) into (- alpha)
7.015 * [backup-simplify]: Simplify (+ 0 (- alpha)) into (- alpha)
7.015 * [backup-simplify]: Simplify (* alpha (- alpha)) into (* -1 (pow alpha 2))
7.015 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
7.015 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
7.015 * [backup-simplify]: Simplify (+ alpha (* 2.0 i)) into (+ alpha (* 2.0 i))
7.015 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
7.015 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
7.015 * [backup-simplify]: Simplify (+ 2.0 (* 2.0 i)) into (+ (* 2.0 i) 2.0)
7.015 * [backup-simplify]: Simplify (+ alpha (+ (* 2.0 i) 2.0)) into (+ alpha (+ (* 2.0 i) 2.0))
7.016 * [backup-simplify]: Simplify (* (+ alpha (* 2.0 i)) (+ alpha (+ (* 2.0 i) 2.0))) into (* (+ alpha (+ (* 2.0 i) 2.0)) (+ alpha (* 2.0 i)))
7.016 * [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)))))
7.016 * [taylor]: Taking taylor expansion of (/ (* (+ alpha beta) (- beta alpha)) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta))))) in alpha
7.016 * [taylor]: Taking taylor expansion of (* (+ alpha beta) (- beta alpha)) in alpha
7.016 * [taylor]: Taking taylor expansion of (+ alpha beta) in alpha
7.016 * [taylor]: Taking taylor expansion of alpha in alpha
7.016 * [backup-simplify]: Simplify 0 into 0
7.016 * [backup-simplify]: Simplify 1 into 1
7.016 * [taylor]: Taking taylor expansion of beta in alpha
7.016 * [backup-simplify]: Simplify beta into beta
7.016 * [taylor]: Taking taylor expansion of (- beta alpha) in alpha
7.016 * [taylor]: Taking taylor expansion of beta in alpha
7.016 * [backup-simplify]: Simplify beta into beta
7.016 * [taylor]: Taking taylor expansion of alpha in alpha
7.016 * [backup-simplify]: Simplify 0 into 0
7.016 * [backup-simplify]: Simplify 1 into 1
7.016 * [taylor]: Taking taylor expansion of (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta)))) in alpha
7.016 * [taylor]: Taking taylor expansion of (+ alpha (+ (* 2.0 i) beta)) in alpha
7.016 * [taylor]: Taking taylor expansion of alpha in alpha
7.016 * [backup-simplify]: Simplify 0 into 0
7.016 * [backup-simplify]: Simplify 1 into 1
7.016 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in alpha
7.017 * [taylor]: Taking taylor expansion of (* 2.0 i) in alpha
7.017 * [taylor]: Taking taylor expansion of 2.0 in alpha
7.017 * [backup-simplify]: Simplify 2.0 into 2.0
7.017 * [taylor]: Taking taylor expansion of i in alpha
7.017 * [backup-simplify]: Simplify i into i
7.017 * [taylor]: Taking taylor expansion of beta in alpha
7.017 * [backup-simplify]: Simplify beta into beta
7.017 * [taylor]: Taking taylor expansion of (+ alpha (+ 2.0 (+ (* 2.0 i) beta))) in alpha
7.017 * [taylor]: Taking taylor expansion of alpha in alpha
7.017 * [backup-simplify]: Simplify 0 into 0
7.017 * [backup-simplify]: Simplify 1 into 1
7.017 * [taylor]: Taking taylor expansion of (+ 2.0 (+ (* 2.0 i) beta)) in alpha
7.017 * [taylor]: Taking taylor expansion of 2.0 in alpha
7.017 * [backup-simplify]: Simplify 2.0 into 2.0
7.017 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in alpha
7.017 * [taylor]: Taking taylor expansion of (* 2.0 i) in alpha
7.017 * [taylor]: Taking taylor expansion of 2.0 in alpha
7.017 * [backup-simplify]: Simplify 2.0 into 2.0
7.017 * [taylor]: Taking taylor expansion of i in alpha
7.017 * [backup-simplify]: Simplify i into i
7.017 * [taylor]: Taking taylor expansion of beta in alpha
7.017 * [backup-simplify]: Simplify beta into beta
7.017 * [backup-simplify]: Simplify (+ 0 beta) into beta
7.018 * [backup-simplify]: Simplify (- 0) into 0
7.018 * [backup-simplify]: Simplify (+ beta 0) into beta
7.018 * [backup-simplify]: Simplify (* beta beta) into (pow beta 2)
7.018 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
7.018 * [backup-simplify]: Simplify (+ (* 2.0 i) beta) into (+ (* 2.0 i) beta)
7.018 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 i) beta)) into (+ (* 2.0 i) beta)
7.018 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
7.018 * [backup-simplify]: Simplify (+ (* 2.0 i) beta) into (+ (* 2.0 i) beta)
7.018 * [backup-simplify]: Simplify (+ 2.0 (+ (* 2.0 i) beta)) into (+ (* 2.0 i) (+ beta 2.0))
7.018 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 i) (+ beta 2.0))) into (+ (* 2.0 i) (+ beta 2.0))
7.019 * [backup-simplify]: Simplify (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0))) into (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))
7.019 * [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))))
7.019 * [taylor]: Taking taylor expansion of (/ (* (+ alpha beta) (- beta alpha)) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta))))) in alpha
7.019 * [taylor]: Taking taylor expansion of (* (+ alpha beta) (- beta alpha)) in alpha
7.019 * [taylor]: Taking taylor expansion of (+ alpha beta) in alpha
7.019 * [taylor]: Taking taylor expansion of alpha in alpha
7.019 * [backup-simplify]: Simplify 0 into 0
7.019 * [backup-simplify]: Simplify 1 into 1
7.019 * [taylor]: Taking taylor expansion of beta in alpha
7.019 * [backup-simplify]: Simplify beta into beta
7.019 * [taylor]: Taking taylor expansion of (- beta alpha) in alpha
7.019 * [taylor]: Taking taylor expansion of beta in alpha
7.019 * [backup-simplify]: Simplify beta into beta
7.019 * [taylor]: Taking taylor expansion of alpha in alpha
7.019 * [backup-simplify]: Simplify 0 into 0
7.019 * [backup-simplify]: Simplify 1 into 1
7.019 * [taylor]: Taking taylor expansion of (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta)))) in alpha
7.020 * [taylor]: Taking taylor expansion of (+ alpha (+ (* 2.0 i) beta)) in alpha
7.020 * [taylor]: Taking taylor expansion of alpha in alpha
7.020 * [backup-simplify]: Simplify 0 into 0
7.020 * [backup-simplify]: Simplify 1 into 1
7.020 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in alpha
7.020 * [taylor]: Taking taylor expansion of (* 2.0 i) in alpha
7.020 * [taylor]: Taking taylor expansion of 2.0 in alpha
7.020 * [backup-simplify]: Simplify 2.0 into 2.0
7.020 * [taylor]: Taking taylor expansion of i in alpha
7.020 * [backup-simplify]: Simplify i into i
7.020 * [taylor]: Taking taylor expansion of beta in alpha
7.020 * [backup-simplify]: Simplify beta into beta
7.020 * [taylor]: Taking taylor expansion of (+ alpha (+ 2.0 (+ (* 2.0 i) beta))) in alpha
7.020 * [taylor]: Taking taylor expansion of alpha in alpha
7.020 * [backup-simplify]: Simplify 0 into 0
7.020 * [backup-simplify]: Simplify 1 into 1
7.020 * [taylor]: Taking taylor expansion of (+ 2.0 (+ (* 2.0 i) beta)) in alpha
7.020 * [taylor]: Taking taylor expansion of 2.0 in alpha
7.020 * [backup-simplify]: Simplify 2.0 into 2.0
7.020 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in alpha
7.020 * [taylor]: Taking taylor expansion of (* 2.0 i) in alpha
7.020 * [taylor]: Taking taylor expansion of 2.0 in alpha
7.020 * [backup-simplify]: Simplify 2.0 into 2.0
7.020 * [taylor]: Taking taylor expansion of i in alpha
7.020 * [backup-simplify]: Simplify i into i
7.020 * [taylor]: Taking taylor expansion of beta in alpha
7.020 * [backup-simplify]: Simplify beta into beta
7.020 * [backup-simplify]: Simplify (+ 0 beta) into beta
7.021 * [backup-simplify]: Simplify (- 0) into 0
7.021 * [backup-simplify]: Simplify (+ beta 0) into beta
7.021 * [backup-simplify]: Simplify (* beta beta) into (pow beta 2)
7.021 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
7.021 * [backup-simplify]: Simplify (+ (* 2.0 i) beta) into (+ (* 2.0 i) beta)
7.021 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 i) beta)) into (+ (* 2.0 i) beta)
7.021 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
7.021 * [backup-simplify]: Simplify (+ (* 2.0 i) beta) into (+ (* 2.0 i) beta)
7.021 * [backup-simplify]: Simplify (+ 2.0 (+ (* 2.0 i) beta)) into (+ (* 2.0 i) (+ beta 2.0))
7.022 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 i) (+ beta 2.0))) into (+ (* 2.0 i) (+ beta 2.0))
7.022 * [backup-simplify]: Simplify (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0))) into (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))
7.022 * [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))))
7.022 * [taylor]: Taking taylor expansion of (/ (pow beta 2) (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))) in beta
7.022 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
7.022 * [taylor]: Taking taylor expansion of beta in beta
7.022 * [backup-simplify]: Simplify 0 into 0
7.022 * [backup-simplify]: Simplify 1 into 1
7.022 * [taylor]: Taking taylor expansion of (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0))) in beta
7.022 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
7.022 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
7.023 * [taylor]: Taking taylor expansion of 2.0 in beta
7.023 * [backup-simplify]: Simplify 2.0 into 2.0
7.023 * [taylor]: Taking taylor expansion of i in beta
7.023 * [backup-simplify]: Simplify i into i
7.023 * [taylor]: Taking taylor expansion of beta in beta
7.023 * [backup-simplify]: Simplify 0 into 0
7.023 * [backup-simplify]: Simplify 1 into 1
7.023 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
7.023 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
7.023 * [taylor]: Taking taylor expansion of 2.0 in beta
7.023 * [backup-simplify]: Simplify 2.0 into 2.0
7.023 * [taylor]: Taking taylor expansion of i in beta
7.023 * [backup-simplify]: Simplify i into i
7.023 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
7.023 * [taylor]: Taking taylor expansion of beta in beta
7.023 * [backup-simplify]: Simplify 0 into 0
7.023 * [backup-simplify]: Simplify 1 into 1
7.023 * [taylor]: Taking taylor expansion of 2.0 in beta
7.023 * [backup-simplify]: Simplify 2.0 into 2.0
7.023 * [backup-simplify]: Simplify (* 1 1) into 1
7.023 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
7.024 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
7.024 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
7.024 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
7.024 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
7.024 * [backup-simplify]: Simplify (* (* 2.0 i) (+ (* 2.0 i) 2.0)) into (* 2.0 (* i (+ (* 2.0 i) 2.0)))
7.025 * [backup-simplify]: Simplify (/ 1 (* 2.0 (* i (+ (* 2.0 i) 2.0)))) into (/ 0.5 (* i (+ (* 2.0 i) 2.0)))
7.025 * [backup-simplify]: Simplify (- 1) into -1
7.025 * [backup-simplify]: Simplify (+ 0 -1) into -1
7.026 * [backup-simplify]: Simplify (+ 1 0) into 1
7.026 * [backup-simplify]: Simplify (+ (* beta -1) (* 1 beta)) into 0
7.026 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 i)) into 0
7.027 * [backup-simplify]: Simplify (+ 0 0) into 0
7.027 * [backup-simplify]: Simplify (+ 0 0) into 0
7.027 * [backup-simplify]: Simplify (+ 1 0) into 1
7.028 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 i)) into 0
7.028 * [backup-simplify]: Simplify (+ 0 0) into 0
7.029 * [backup-simplify]: Simplify (+ 1 0) into 1
7.029 * [backup-simplify]: Simplify (+ (* (+ (* 2.0 i) beta) 1) (* 1 (+ (* 2.0 i) (+ beta 2.0)))) into (+ 2.0 (+ (* 4.0 i) (* 2 beta)))
7.030 * [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)))))))
7.031 * [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
7.031 * [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
7.031 * [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
7.031 * [taylor]: Taking taylor expansion of 2.0 in beta
7.031 * [backup-simplify]: Simplify 2.0 into 2.0
7.031 * [taylor]: Taking taylor expansion of (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2))) in beta
7.031 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
7.031 * [taylor]: Taking taylor expansion of beta in beta
7.031 * [backup-simplify]: Simplify 0 into 0
7.031 * [backup-simplify]: Simplify 1 into 1
7.031 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)) in beta
7.031 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 2) in beta
7.031 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
7.031 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
7.031 * [taylor]: Taking taylor expansion of 2.0 in beta
7.031 * [backup-simplify]: Simplify 2.0 into 2.0
7.031 * [taylor]: Taking taylor expansion of i in beta
7.031 * [backup-simplify]: Simplify i into i
7.031 * [taylor]: Taking taylor expansion of beta in beta
7.031 * [backup-simplify]: Simplify 0 into 0
7.031 * [backup-simplify]: Simplify 1 into 1
7.032 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
7.032 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
7.032 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 2) in beta
7.032 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
7.032 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
7.032 * [taylor]: Taking taylor expansion of 2.0 in beta
7.032 * [backup-simplify]: Simplify 2.0 into 2.0
7.032 * [taylor]: Taking taylor expansion of i in beta
7.032 * [backup-simplify]: Simplify i into i
7.032 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
7.032 * [taylor]: Taking taylor expansion of beta in beta
7.032 * [backup-simplify]: Simplify 0 into 0
7.032 * [backup-simplify]: Simplify 1 into 1
7.032 * [taylor]: Taking taylor expansion of 2.0 in beta
7.032 * [backup-simplify]: Simplify 2.0 into 2.0
7.032 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
7.033 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
7.033 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
7.033 * [backup-simplify]: Simplify (* 1 1) into 1
7.033 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
7.033 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
7.034 * [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)))
7.034 * [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)))
7.034 * [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
7.034 * [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
7.034 * [taylor]: Taking taylor expansion of 4.0 in beta
7.034 * [backup-simplify]: Simplify 4.0 into 4.0
7.034 * [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
7.034 * [taylor]: Taking taylor expansion of (* i (pow beta 2)) in beta
7.034 * [taylor]: Taking taylor expansion of i in beta
7.034 * [backup-simplify]: Simplify i into i
7.034 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
7.034 * [taylor]: Taking taylor expansion of beta in beta
7.034 * [backup-simplify]: Simplify 0 into 0
7.034 * [backup-simplify]: Simplify 1 into 1
7.034 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)) in beta
7.034 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 2) in beta
7.034 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
7.034 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
7.034 * [taylor]: Taking taylor expansion of 2.0 in beta
7.035 * [backup-simplify]: Simplify 2.0 into 2.0
7.035 * [taylor]: Taking taylor expansion of i in beta
7.035 * [backup-simplify]: Simplify i into i
7.035 * [taylor]: Taking taylor expansion of beta in beta
7.035 * [backup-simplify]: Simplify 0 into 0
7.035 * [backup-simplify]: Simplify 1 into 1
7.035 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
7.035 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
7.035 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 2) in beta
7.035 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
7.035 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
7.035 * [taylor]: Taking taylor expansion of 2.0 in beta
7.035 * [backup-simplify]: Simplify 2.0 into 2.0
7.035 * [taylor]: Taking taylor expansion of i in beta
7.035 * [backup-simplify]: Simplify i into i
7.035 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
7.035 * [taylor]: Taking taylor expansion of beta in beta
7.035 * [backup-simplify]: Simplify 0 into 0
7.035 * [backup-simplify]: Simplify 1 into 1
7.035 * [taylor]: Taking taylor expansion of 2.0 in beta
7.035 * [backup-simplify]: Simplify 2.0 into 2.0
7.035 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
7.036 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
7.036 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
7.036 * [backup-simplify]: Simplify (* 1 1) into 1
7.036 * [backup-simplify]: Simplify (* i 1) into i
7.036 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
7.036 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
7.037 * [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)))
7.037 * [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)))
7.037 * [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
7.037 * [taylor]: Taking taylor expansion of 2 in beta
7.037 * [backup-simplify]: Simplify 2 into 2
7.037 * [taylor]: Taking taylor expansion of (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2))) in beta
7.037 * [taylor]: Taking taylor expansion of (pow beta 3) in beta
7.037 * [taylor]: Taking taylor expansion of beta in beta
7.037 * [backup-simplify]: Simplify 0 into 0
7.037 * [backup-simplify]: Simplify 1 into 1
7.037 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)) in beta
7.037 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 2) in beta
7.037 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
7.037 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
7.037 * [taylor]: Taking taylor expansion of 2.0 in beta
7.037 * [backup-simplify]: Simplify 2.0 into 2.0
7.037 * [taylor]: Taking taylor expansion of i in beta
7.037 * [backup-simplify]: Simplify i into i
7.037 * [taylor]: Taking taylor expansion of beta in beta
7.038 * [backup-simplify]: Simplify 0 into 0
7.038 * [backup-simplify]: Simplify 1 into 1
7.038 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
7.038 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
7.038 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 2) in beta
7.038 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
7.038 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
7.038 * [taylor]: Taking taylor expansion of 2.0 in beta
7.038 * [backup-simplify]: Simplify 2.0 into 2.0
7.038 * [taylor]: Taking taylor expansion of i in beta
7.038 * [backup-simplify]: Simplify i into i
7.038 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
7.038 * [taylor]: Taking taylor expansion of beta in beta
7.038 * [backup-simplify]: Simplify 0 into 0
7.038 * [backup-simplify]: Simplify 1 into 1
7.038 * [taylor]: Taking taylor expansion of 2.0 in beta
7.038 * [backup-simplify]: Simplify 2.0 into 2.0
7.038 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
7.038 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
7.039 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
7.039 * [backup-simplify]: Simplify (* 1 1) into 1
7.039 * [backup-simplify]: Simplify (* 1 1) into 1
7.039 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
7.040 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
7.040 * [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)))
7.040 * [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)))
7.041 * [backup-simplify]: Simplify (- 0) into 0
7.041 * [backup-simplify]: Simplify (+ 0 0) into 0
7.042 * [backup-simplify]: Simplify (+ 0 0) into 0
7.042 * [backup-simplify]: Simplify (+ (* beta 0) (+ (* 1 -1) (* 0 beta))) into (- 1)
7.043 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 i))) into 0
7.051 * [backup-simplify]: Simplify (+ 0 0) into 0
7.051 * [backup-simplify]: Simplify (+ 0 0) into 0
7.052 * [backup-simplify]: Simplify (+ 0 0) into 0
7.052 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 i))) into 0
7.053 * [backup-simplify]: Simplify (+ 0 0) into 0
7.053 * [backup-simplify]: Simplify (+ 0 0) into 0
7.054 * [backup-simplify]: Simplify (+ (* (+ (* 2.0 i) beta) 0) (+ (* 1 1) (* 0 (+ (* 2.0 i) (+ beta 2.0))))) into 1
7.061 * [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)))))
7.061 * [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
7.061 * [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
7.061 * [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
7.061 * [taylor]: Taking taylor expansion of 8.0 in beta
7.061 * [backup-simplify]: Simplify 8.0 into 8.0
7.061 * [taylor]: Taking taylor expansion of (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3))) in beta
7.061 * [taylor]: Taking taylor expansion of (pow beta 3) in beta
7.061 * [taylor]: Taking taylor expansion of beta in beta
7.061 * [backup-simplify]: Simplify 0 into 0
7.061 * [backup-simplify]: Simplify 1 into 1
7.061 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)) in beta
7.061 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 3) in beta
7.061 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
7.061 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
7.061 * [taylor]: Taking taylor expansion of 2.0 in beta
7.061 * [backup-simplify]: Simplify 2.0 into 2.0
7.061 * [taylor]: Taking taylor expansion of i in beta
7.061 * [backup-simplify]: Simplify i into i
7.061 * [taylor]: Taking taylor expansion of beta in beta
7.061 * [backup-simplify]: Simplify 0 into 0
7.061 * [backup-simplify]: Simplify 1 into 1
7.061 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
7.062 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
7.062 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 3) in beta
7.062 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
7.062 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
7.062 * [taylor]: Taking taylor expansion of 2.0 in beta
7.062 * [backup-simplify]: Simplify 2.0 into 2.0
7.062 * [taylor]: Taking taylor expansion of i in beta
7.062 * [backup-simplify]: Simplify i into i
7.062 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
7.062 * [taylor]: Taking taylor expansion of beta in beta
7.062 * [backup-simplify]: Simplify 0 into 0
7.062 * [backup-simplify]: Simplify 1 into 1
7.062 * [taylor]: Taking taylor expansion of 2.0 in beta
7.062 * [backup-simplify]: Simplify 2.0 into 2.0
7.062 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
7.063 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
7.063 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
7.063 * [backup-simplify]: Simplify (* 1 1) into 1
7.063 * [backup-simplify]: Simplify (* 1 1) into 1
7.063 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
7.064 * [backup-simplify]: Simplify (* (* 2.0 i) (* 4.0 (pow i 2))) into (* 8.0 (pow i 3))
7.064 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
7.064 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (pow (+ (* 2.0 i) 2.0) 2)) into (pow (+ (* 2.0 i) 2.0) 3)
7.064 * [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)))
7.065 * [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)))
7.065 * [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
7.065 * [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
7.065 * [taylor]: Taking taylor expansion of 16.0 in beta
7.065 * [backup-simplify]: Simplify 16.0 into 16.0
7.065 * [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
7.065 * [taylor]: Taking taylor expansion of (* (pow i 2) (pow beta 2)) in beta
7.065 * [taylor]: Taking taylor expansion of (pow i 2) in beta
7.065 * [taylor]: Taking taylor expansion of i in beta
7.065 * [backup-simplify]: Simplify i into i
7.065 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
7.065 * [taylor]: Taking taylor expansion of beta in beta
7.065 * [backup-simplify]: Simplify 0 into 0
7.065 * [backup-simplify]: Simplify 1 into 1
7.065 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)) in beta
7.065 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 3) in beta
7.065 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
7.065 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
7.065 * [taylor]: Taking taylor expansion of 2.0 in beta
7.065 * [backup-simplify]: Simplify 2.0 into 2.0
7.065 * [taylor]: Taking taylor expansion of i in beta
7.065 * [backup-simplify]: Simplify i into i
7.065 * [taylor]: Taking taylor expansion of beta in beta
7.065 * [backup-simplify]: Simplify 0 into 0
7.065 * [backup-simplify]: Simplify 1 into 1
7.065 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
7.065 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
7.065 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 3) in beta
7.065 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
7.066 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
7.066 * [taylor]: Taking taylor expansion of 2.0 in beta
7.066 * [backup-simplify]: Simplify 2.0 into 2.0
7.066 * [taylor]: Taking taylor expansion of i in beta
7.066 * [backup-simplify]: Simplify i into i
7.066 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
7.066 * [taylor]: Taking taylor expansion of beta in beta
7.066 * [backup-simplify]: Simplify 0 into 0
7.066 * [backup-simplify]: Simplify 1 into 1
7.066 * [taylor]: Taking taylor expansion of 2.0 in beta
7.066 * [backup-simplify]: Simplify 2.0 into 2.0
7.066 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
7.066 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
7.066 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
7.066 * [backup-simplify]: Simplify (* i i) into (pow i 2)
7.067 * [backup-simplify]: Simplify (* 1 1) into 1
7.067 * [backup-simplify]: Simplify (* (pow i 2) 1) into (pow i 2)
7.067 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
7.067 * [backup-simplify]: Simplify (* (* 2.0 i) (* 4.0 (pow i 2))) into (* 8.0 (pow i 3))
7.067 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
7.068 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (pow (+ (* 2.0 i) 2.0) 2)) into (pow (+ (* 2.0 i) 2.0) 3)
7.068 * [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)))
7.068 * [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)))
7.068 * [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
7.068 * [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
7.068 * [taylor]: Taking taylor expansion of 4 in beta
7.068 * [backup-simplify]: Simplify 4 into 4
7.068 * [taylor]: Taking taylor expansion of (/ (pow beta 4) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3))) in beta
7.069 * [taylor]: Taking taylor expansion of (pow beta 4) in beta
7.069 * [taylor]: Taking taylor expansion of beta in beta
7.069 * [backup-simplify]: Simplify 0 into 0
7.069 * [backup-simplify]: Simplify 1 into 1
7.069 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)) in beta
7.069 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 3) in beta
7.069 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
7.069 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
7.069 * [taylor]: Taking taylor expansion of 2.0 in beta
7.069 * [backup-simplify]: Simplify 2.0 into 2.0
7.069 * [taylor]: Taking taylor expansion of i in beta
7.069 * [backup-simplify]: Simplify i into i
7.069 * [taylor]: Taking taylor expansion of beta in beta
7.069 * [backup-simplify]: Simplify 0 into 0
7.069 * [backup-simplify]: Simplify 1 into 1
7.069 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
7.069 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
7.069 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 3) in beta
7.069 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
7.069 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
7.069 * [taylor]: Taking taylor expansion of 2.0 in beta
7.069 * [backup-simplify]: Simplify 2.0 into 2.0
7.069 * [taylor]: Taking taylor expansion of i in beta
7.069 * [backup-simplify]: Simplify i into i
7.069 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
7.069 * [taylor]: Taking taylor expansion of beta in beta
7.069 * [backup-simplify]: Simplify 0 into 0
7.069 * [backup-simplify]: Simplify 1 into 1
7.069 * [taylor]: Taking taylor expansion of 2.0 in beta
7.069 * [backup-simplify]: Simplify 2.0 into 2.0
7.069 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
7.070 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
7.070 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
7.070 * [backup-simplify]: Simplify (* 1 1) into 1
7.071 * [backup-simplify]: Simplify (* 1 1) into 1
7.071 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
7.071 * [backup-simplify]: Simplify (* (* 2.0 i) (* 4.0 (pow i 2))) into (* 8.0 (pow i 3))
7.071 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
7.071 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (pow (+ (* 2.0 i) 2.0) 2)) into (pow (+ (* 2.0 i) 2.0) 3)
7.072 * [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)))
7.072 * [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)))
7.072 * [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
7.072 * [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
7.072 * [taylor]: Taking taylor expansion of 16.0 in beta
7.072 * [backup-simplify]: Simplify 16.0 into 16.0
7.072 * [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
7.072 * [taylor]: Taking taylor expansion of (* i (pow beta 3)) in beta
7.072 * [taylor]: Taking taylor expansion of i in beta
7.072 * [backup-simplify]: Simplify i into i
7.072 * [taylor]: Taking taylor expansion of (pow beta 3) in beta
7.072 * [taylor]: Taking taylor expansion of beta in beta
7.072 * [backup-simplify]: Simplify 0 into 0
7.072 * [backup-simplify]: Simplify 1 into 1
7.073 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)) in beta
7.073 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 3) in beta
7.073 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
7.073 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
7.073 * [taylor]: Taking taylor expansion of 2.0 in beta
7.073 * [backup-simplify]: Simplify 2.0 into 2.0
7.073 * [taylor]: Taking taylor expansion of i in beta
7.073 * [backup-simplify]: Simplify i into i
7.073 * [taylor]: Taking taylor expansion of beta in beta
7.073 * [backup-simplify]: Simplify 0 into 0
7.073 * [backup-simplify]: Simplify 1 into 1
7.073 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
7.073 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
7.073 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 3) in beta
7.073 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
7.073 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
7.073 * [taylor]: Taking taylor expansion of 2.0 in beta
7.073 * [backup-simplify]: Simplify 2.0 into 2.0
7.073 * [taylor]: Taking taylor expansion of i in beta
7.073 * [backup-simplify]: Simplify i into i
7.073 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
7.073 * [taylor]: Taking taylor expansion of beta in beta
7.073 * [backup-simplify]: Simplify 0 into 0
7.073 * [backup-simplify]: Simplify 1 into 1
7.073 * [taylor]: Taking taylor expansion of 2.0 in beta
7.073 * [backup-simplify]: Simplify 2.0 into 2.0
7.073 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
7.074 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
7.074 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
7.074 * [backup-simplify]: Simplify (* 1 1) into 1
7.075 * [backup-simplify]: Simplify (* 1 1) into 1
7.075 * [backup-simplify]: Simplify (* i 1) into i
7.075 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
7.075 * [backup-simplify]: Simplify (* (* 2.0 i) (* 4.0 (pow i 2))) into (* 8.0 (pow i 3))
7.075 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
7.075 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (pow (+ (* 2.0 i) 2.0) 2)) into (pow (+ (* 2.0 i) 2.0) 3)
7.076 * [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)))
7.076 * [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)))
7.076 * [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
7.076 * [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
7.076 * [taylor]: Taking taylor expansion of 16.0 in beta
7.076 * [backup-simplify]: Simplify 16.0 into 16.0
7.076 * [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
7.076 * [taylor]: Taking taylor expansion of (* i (pow beta 2)) in beta
7.076 * [taylor]: Taking taylor expansion of i in beta
7.076 * [backup-simplify]: Simplify i into i
7.076 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
7.076 * [taylor]: Taking taylor expansion of beta in beta
7.076 * [backup-simplify]: Simplify 0 into 0
7.077 * [backup-simplify]: Simplify 1 into 1
7.077 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)) in beta
7.077 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 3) in beta
7.077 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
7.077 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
7.077 * [taylor]: Taking taylor expansion of 2.0 in beta
7.077 * [backup-simplify]: Simplify 2.0 into 2.0
7.077 * [taylor]: Taking taylor expansion of i in beta
7.077 * [backup-simplify]: Simplify i into i
7.077 * [taylor]: Taking taylor expansion of beta in beta
7.077 * [backup-simplify]: Simplify 0 into 0
7.077 * [backup-simplify]: Simplify 1 into 1
7.077 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
7.077 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
7.077 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 3) in beta
7.077 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
7.077 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
7.077 * [taylor]: Taking taylor expansion of 2.0 in beta
7.077 * [backup-simplify]: Simplify 2.0 into 2.0
7.077 * [taylor]: Taking taylor expansion of i in beta
7.077 * [backup-simplify]: Simplify i into i
7.077 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
7.077 * [taylor]: Taking taylor expansion of beta in beta
7.077 * [backup-simplify]: Simplify 0 into 0
7.077 * [backup-simplify]: Simplify 1 into 1
7.077 * [taylor]: Taking taylor expansion of 2.0 in beta
7.077 * [backup-simplify]: Simplify 2.0 into 2.0
7.077 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
7.078 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
7.078 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
7.078 * [backup-simplify]: Simplify (* 1 1) into 1
7.078 * [backup-simplify]: Simplify (* i 1) into i
7.078 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
7.079 * [backup-simplify]: Simplify (* (* 2.0 i) (* 4.0 (pow i 2))) into (* 8.0 (pow i 3))
7.079 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
7.079 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (pow (+ (* 2.0 i) 2.0) 2)) into (pow (+ (* 2.0 i) 2.0) 3)
7.079 * [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)))
7.080 * [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)))
7.080 * [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
7.080 * [taylor]: Taking taylor expansion of 4.0 in beta
7.080 * [backup-simplify]: Simplify 4.0 into 4.0
7.080 * [taylor]: Taking taylor expansion of (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3))) in beta
7.080 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
7.080 * [taylor]: Taking taylor expansion of beta in beta
7.080 * [backup-simplify]: Simplify 0 into 0
7.080 * [backup-simplify]: Simplify 1 into 1
7.080 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)) in beta
7.080 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 3) in beta
7.080 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
7.080 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
7.080 * [taylor]: Taking taylor expansion of 2.0 in beta
7.080 * [backup-simplify]: Simplify 2.0 into 2.0
7.080 * [taylor]: Taking taylor expansion of i in beta
7.080 * [backup-simplify]: Simplify i into i
7.080 * [taylor]: Taking taylor expansion of beta in beta
7.080 * [backup-simplify]: Simplify 0 into 0
7.080 * [backup-simplify]: Simplify 1 into 1
7.080 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
7.080 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
7.081 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 3) in beta
7.081 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
7.081 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
7.081 * [taylor]: Taking taylor expansion of 2.0 in beta
7.081 * [backup-simplify]: Simplify 2.0 into 2.0
7.081 * [taylor]: Taking taylor expansion of i in beta
7.081 * [backup-simplify]: Simplify i into i
7.081 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
7.081 * [taylor]: Taking taylor expansion of beta in beta
7.081 * [backup-simplify]: Simplify 0 into 0
7.081 * [backup-simplify]: Simplify 1 into 1
7.081 * [taylor]: Taking taylor expansion of 2.0 in beta
7.081 * [backup-simplify]: Simplify 2.0 into 2.0
7.081 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
7.081 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
7.082 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
7.082 * [backup-simplify]: Simplify (* 1 1) into 1
7.082 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
7.082 * [backup-simplify]: Simplify (* (* 2.0 i) (* 4.0 (pow i 2))) into (* 8.0 (pow i 3))
7.082 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
7.083 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (pow (+ (* 2.0 i) 2.0) 2)) into (pow (+ (* 2.0 i) 2.0) 3)
7.083 * [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)))
7.083 * [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)))
7.083 * [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
7.083 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))) in beta
7.084 * [taylor]: Taking taylor expansion of (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0))) in beta
7.084 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
7.084 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
7.084 * [taylor]: Taking taylor expansion of 2.0 in beta
7.084 * [backup-simplify]: Simplify 2.0 into 2.0
7.084 * [taylor]: Taking taylor expansion of i in beta
7.084 * [backup-simplify]: Simplify i into i
7.084 * [taylor]: Taking taylor expansion of beta in beta
7.084 * [backup-simplify]: Simplify 0 into 0
7.084 * [backup-simplify]: Simplify 1 into 1
7.084 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
7.084 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
7.084 * [taylor]: Taking taylor expansion of 2.0 in beta
7.084 * [backup-simplify]: Simplify 2.0 into 2.0
7.084 * [taylor]: Taking taylor expansion of i in beta
7.084 * [backup-simplify]: Simplify i into i
7.084 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
7.084 * [taylor]: Taking taylor expansion of beta in beta
7.084 * [backup-simplify]: Simplify 0 into 0
7.084 * [backup-simplify]: Simplify 1 into 1
7.084 * [taylor]: Taking taylor expansion of 2.0 in beta
7.084 * [backup-simplify]: Simplify 2.0 into 2.0
7.084 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
7.084 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
7.084 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
7.085 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
7.085 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
7.085 * [backup-simplify]: Simplify (* (* 2.0 i) (+ (* 2.0 i) 2.0)) into (* 2.0 (* i (+ (* 2.0 i) 2.0)))
7.085 * [backup-simplify]: Simplify (/ 1 (* 2.0 (* i (+ (* 2.0 i) 2.0)))) into (/ 0.5 (* i (+ (* 2.0 i) 2.0)))
7.085 * [taylor]: Taking taylor expansion of (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2))) in beta
7.085 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
7.085 * [taylor]: Taking taylor expansion of beta in beta
7.085 * [backup-simplify]: Simplify 0 into 0
7.085 * [backup-simplify]: Simplify 1 into 1
7.085 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)) in beta
7.085 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 2) in beta
7.085 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
7.085 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
7.086 * [taylor]: Taking taylor expansion of 2.0 in beta
7.086 * [backup-simplify]: Simplify 2.0 into 2.0
7.086 * [taylor]: Taking taylor expansion of i in beta
7.086 * [backup-simplify]: Simplify i into i
7.086 * [taylor]: Taking taylor expansion of beta in beta
7.086 * [backup-simplify]: Simplify 0 into 0
7.086 * [backup-simplify]: Simplify 1 into 1
7.086 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
7.086 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
7.086 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 2) in beta
7.086 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
7.086 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
7.086 * [taylor]: Taking taylor expansion of 2.0 in beta
7.086 * [backup-simplify]: Simplify 2.0 into 2.0
7.086 * [taylor]: Taking taylor expansion of i in beta
7.086 * [backup-simplify]: Simplify i into i
7.086 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
7.086 * [taylor]: Taking taylor expansion of beta in beta
7.086 * [backup-simplify]: Simplify 0 into 0
7.086 * [backup-simplify]: Simplify 1 into 1
7.086 * [taylor]: Taking taylor expansion of 2.0 in beta
7.087 * [backup-simplify]: Simplify 2.0 into 2.0
7.087 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
7.087 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
7.087 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
7.088 * [backup-simplify]: Simplify (* 1 1) into 1
7.088 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
7.088 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
7.088 * [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)))
7.089 * [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)))
7.089 * [backup-simplify]: Simplify (+ (/ 0.5 (* i (+ (* 2.0 i) 2.0))) 0) into (* 0.5 (/ 1 (* i (+ (* 2.0 i) 2.0))))
7.089 * [backup-simplify]: Simplify (- (* 0.5 (/ 1 (* i (+ (* 2.0 i) 2.0))))) into (- (* 0.5 (/ 1 (* i (+ (* 2.0 i) 2.0)))))
7.089 * [backup-simplify]: Simplify (+ 0 (- (* 0.5 (/ 1 (* i (+ (* 2.0 i) 2.0)))))) into (- (* 0.5 (/ 1 (* i (+ (* 2.0 i) 2.0)))))
7.089 * [taylor]: Taking taylor expansion of (- (* 0.5 (/ 1 (* i (+ (* 2.0 i) 2.0))))) in i
7.089 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (* i (+ (* 2.0 i) 2.0)))) in i
7.089 * [taylor]: Taking taylor expansion of 0.5 in i
7.089 * [backup-simplify]: Simplify 0.5 into 0.5
7.089 * [taylor]: Taking taylor expansion of (/ 1 (* i (+ (* 2.0 i) 2.0))) in i
7.089 * [taylor]: Taking taylor expansion of (* i (+ (* 2.0 i) 2.0)) in i
7.090 * [taylor]: Taking taylor expansion of i in i
7.090 * [backup-simplify]: Simplify 0 into 0
7.090 * [backup-simplify]: Simplify 1 into 1
7.090 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) 2.0) in i
7.090 * [taylor]: Taking taylor expansion of (* 2.0 i) in i
7.090 * [taylor]: Taking taylor expansion of 2.0 in i
7.090 * [backup-simplify]: Simplify 2.0 into 2.0
7.090 * [taylor]: Taking taylor expansion of i in i
7.090 * [backup-simplify]: Simplify 0 into 0
7.090 * [backup-simplify]: Simplify 1 into 1
7.090 * [taylor]: Taking taylor expansion of 2.0 in i
7.090 * [backup-simplify]: Simplify 2.0 into 2.0
7.090 * [backup-simplify]: Simplify (* 2.0 0) into 0
7.091 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
7.091 * [backup-simplify]: Simplify (* 0 2.0) into 0
7.093 * [backup-simplify]: Simplify (+ (* 2.0 1) (* 0 0)) into 2.0
7.093 * [backup-simplify]: Simplify (+ 2.0 0) into 2.0
7.095 * [backup-simplify]: Simplify (+ (* 0 2.0) (* 1 2.0)) into 2.0
7.095 * [backup-simplify]: Simplify (/ 1 2.0) into 0.5
7.096 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 1) (* 0 0))) into 0
7.096 * [backup-simplify]: Simplify (+ 0 0) into 0
7.099 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 2.0) (* 0 2.0))) into 2.0
7.101 * [backup-simplify]: Simplify (- (+ (* 0.5 (/ 2.0 2.0)))) into (- 0.5)
7.103 * [backup-simplify]: Simplify (+ (* 0.5 (- 0.5)) (* 0 0.5)) into (- 0.25)
7.103 * [backup-simplify]: Simplify (- (- 0.25)) into 0.25
7.103 * [backup-simplify]: Simplify 0.25 into 0.25
7.104 * [taylor]: Taking taylor expansion of (/ 0.5 (* i (+ (* 2.0 i) 2.0))) in i
7.104 * [taylor]: Taking taylor expansion of 0.5 in i
7.104 * [backup-simplify]: Simplify 0.5 into 0.5
7.104 * [taylor]: Taking taylor expansion of (* i (+ (* 2.0 i) 2.0)) in i
7.104 * [taylor]: Taking taylor expansion of i in i
7.104 * [backup-simplify]: Simplify 0 into 0
7.104 * [backup-simplify]: Simplify 1 into 1
7.104 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) 2.0) in i
7.104 * [taylor]: Taking taylor expansion of (* 2.0 i) in i
7.104 * [taylor]: Taking taylor expansion of 2.0 in i
7.104 * [backup-simplify]: Simplify 2.0 into 2.0
7.104 * [taylor]: Taking taylor expansion of i in i
7.104 * [backup-simplify]: Simplify 0 into 0
7.104 * [backup-simplify]: Simplify 1 into 1
7.104 * [taylor]: Taking taylor expansion of 2.0 in i
7.104 * [backup-simplify]: Simplify 2.0 into 2.0
7.104 * [backup-simplify]: Simplify (* 2.0 0) into 0
7.105 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
7.105 * [backup-simplify]: Simplify (* 0 2.0) into 0
7.107 * [backup-simplify]: Simplify (+ (* 2.0 1) (* 0 0)) into 2.0
7.107 * [backup-simplify]: Simplify (+ 2.0 0) into 2.0
7.108 * [backup-simplify]: Simplify (+ (* 0 2.0) (* 1 2.0)) into 2.0
7.109 * [backup-simplify]: Simplify (/ 0.5 2.0) into 0.25
7.110 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 1) (* 0 0))) into 0
7.110 * [backup-simplify]: Simplify (+ 0 0) into 0
7.113 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 2.0) (* 0 2.0))) into 2.0
7.115 * [backup-simplify]: Simplify (- (/ 0 2.0) (+ (* 0.25 (/ 2.0 2.0)))) into (- 0.25)
7.115 * [backup-simplify]: Simplify (- 0.25) into (- 0.25)
7.116 * [backup-simplify]: Simplify (- 0) into 0
7.116 * [backup-simplify]: Simplify (+ 0 0) into 0
7.116 * [backup-simplify]: Simplify (+ 0 0) into 0
7.117 * [backup-simplify]: Simplify (+ (* beta 0) (+ (* 1 0) (+ (* 0 -1) (* 0 beta)))) into 0
7.118 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 i)))) into 0
7.119 * [backup-simplify]: Simplify (+ 0 0) into 0
7.119 * [backup-simplify]: Simplify (+ 0 0) into 0
7.119 * [backup-simplify]: Simplify (+ 0 0) into 0
7.120 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 i)))) into 0
7.121 * [backup-simplify]: Simplify (+ 0 0) into 0
7.121 * [backup-simplify]: Simplify (+ 0 0) into 0
7.122 * [backup-simplify]: Simplify (+ (* (+ (* 2.0 i) beta) 0) (+ (* 1 0) (+ (* 0 1) (* 0 (+ (* 2.0 i) (+ beta 2.0)))))) into 0
7.141 * [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))))))))))))))
7.142 * [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
7.142 * [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
7.142 * [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
7.142 * [taylor]: Taking taylor expansion of 4 in beta
7.142 * [backup-simplify]: Simplify 4 into 4
7.142 * [taylor]: Taking taylor expansion of (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3))) in beta
7.142 * [taylor]: Taking taylor expansion of (pow beta 3) in beta
7.142 * [taylor]: Taking taylor expansion of beta in beta
7.142 * [backup-simplify]: Simplify 0 into 0
7.142 * [backup-simplify]: Simplify 1 into 1
7.142 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)) in beta
7.142 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 3) in beta
7.142 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
7.142 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
7.142 * [taylor]: Taking taylor expansion of 2.0 in beta
7.142 * [backup-simplify]: Simplify 2.0 into 2.0
7.142 * [taylor]: Taking taylor expansion of i in beta
7.142 * [backup-simplify]: Simplify i into i
7.142 * [taylor]: Taking taylor expansion of beta in beta
7.142 * [backup-simplify]: Simplify 0 into 0
7.143 * [backup-simplify]: Simplify 1 into 1
7.143 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
7.143 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
7.143 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 3) in beta
7.143 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
7.143 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
7.143 * [taylor]: Taking taylor expansion of 2.0 in beta
7.143 * [backup-simplify]: Simplify 2.0 into 2.0
7.143 * [taylor]: Taking taylor expansion of i in beta
7.143 * [backup-simplify]: Simplify i into i
7.143 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
7.143 * [taylor]: Taking taylor expansion of beta in beta
7.143 * [backup-simplify]: Simplify 0 into 0
7.143 * [backup-simplify]: Simplify 1 into 1
7.143 * [taylor]: Taking taylor expansion of 2.0 in beta
7.143 * [backup-simplify]: Simplify 2.0 into 2.0
7.143 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
7.144 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
7.144 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
7.144 * [backup-simplify]: Simplify (* 1 1) into 1
7.145 * [backup-simplify]: Simplify (* 1 1) into 1
7.145 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
7.145 * [backup-simplify]: Simplify (* (* 2.0 i) (* 4.0 (pow i 2))) into (* 8.0 (pow i 3))
7.145 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
7.146 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (pow (+ (* 2.0 i) 2.0) 2)) into (pow (+ (* 2.0 i) 2.0) 3)
7.146 * [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)))
7.146 * [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)))
7.146 * [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
7.147 * [taylor]: Taking taylor expansion of (* 4.0 (/ i (* (pow (+ (* 2.0 i) (+ beta 2.0)) 2) (pow (+ (* 2.0 i) beta) 2)))) in beta
7.147 * [taylor]: Taking taylor expansion of 4.0 in beta
7.147 * [backup-simplify]: Simplify 4.0 into 4.0
7.147 * [taylor]: Taking taylor expansion of (/ i (* (pow (+ (* 2.0 i) (+ beta 2.0)) 2) (pow (+ (* 2.0 i) beta) 2))) in beta
7.147 * [taylor]: Taking taylor expansion of i in beta
7.147 * [backup-simplify]: Simplify i into i
7.147 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) (+ beta 2.0)) 2) (pow (+ (* 2.0 i) beta) 2)) in beta
7.147 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 2) in beta
7.147 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
7.147 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
7.147 * [taylor]: Taking taylor expansion of 2.0 in beta
7.147 * [backup-simplify]: Simplify 2.0 into 2.0
7.147 * [taylor]: Taking taylor expansion of i in beta
7.147 * [backup-simplify]: Simplify i into i
7.147 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
7.147 * [taylor]: Taking taylor expansion of beta in beta
7.147 * [backup-simplify]: Simplify 0 into 0
7.147 * [backup-simplify]: Simplify 1 into 1
7.147 * [taylor]: Taking taylor expansion of 2.0 in beta
7.147 * [backup-simplify]: Simplify 2.0 into 2.0
7.147 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
7.148 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
7.148 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
7.148 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 2) in beta
7.148 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
7.148 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
7.148 * [taylor]: Taking taylor expansion of 2.0 in beta
7.148 * [backup-simplify]: Simplify 2.0 into 2.0
7.148 * [taylor]: Taking taylor expansion of i in beta
7.148 * [backup-simplify]: Simplify i into i
7.148 * [taylor]: Taking taylor expansion of beta in beta
7.148 * [backup-simplify]: Simplify 0 into 0
7.148 * [backup-simplify]: Simplify 1 into 1
7.148 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
7.148 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
7.149 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
7.149 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
7.149 * [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)))
7.150 * [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)))
7.150 * [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
7.150 * [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
7.150 * [taylor]: Taking taylor expansion of 8.0 in beta
7.150 * [backup-simplify]: Simplify 8.0 into 8.0
7.150 * [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
7.150 * [taylor]: Taking taylor expansion of (* i (pow beta 2)) in beta
7.150 * [taylor]: Taking taylor expansion of i in beta
7.150 * [backup-simplify]: Simplify i into i
7.150 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
7.150 * [taylor]: Taking taylor expansion of beta in beta
7.150 * [backup-simplify]: Simplify 0 into 0
7.150 * [backup-simplify]: Simplify 1 into 1
7.150 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)) in beta
7.150 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 3) in beta
7.150 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
7.150 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
7.150 * [taylor]: Taking taylor expansion of 2.0 in beta
7.150 * [backup-simplify]: Simplify 2.0 into 2.0
7.150 * [taylor]: Taking taylor expansion of i in beta
7.150 * [backup-simplify]: Simplify i into i
7.150 * [taylor]: Taking taylor expansion of beta in beta
7.150 * [backup-simplify]: Simplify 0 into 0
7.150 * [backup-simplify]: Simplify 1 into 1
7.150 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
7.151 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
7.151 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 3) in beta
7.151 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
7.151 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
7.151 * [taylor]: Taking taylor expansion of 2.0 in beta
7.151 * [backup-simplify]: Simplify 2.0 into 2.0
7.151 * [taylor]: Taking taylor expansion of i in beta
7.151 * [backup-simplify]: Simplify i into i
7.151 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
7.151 * [taylor]: Taking taylor expansion of beta in beta
7.151 * [backup-simplify]: Simplify 0 into 0
7.151 * [backup-simplify]: Simplify 1 into 1
7.151 * [taylor]: Taking taylor expansion of 2.0 in beta
7.151 * [backup-simplify]: Simplify 2.0 into 2.0
7.151 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
7.152 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
7.152 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
7.153 * [backup-simplify]: Simplify (* 1 1) into 1
7.153 * [backup-simplify]: Simplify (* i 1) into i
7.153 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
7.153 * [backup-simplify]: Simplify (* (* 2.0 i) (* 4.0 (pow i 2))) into (* 8.0 (pow i 3))
7.153 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
7.153 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (pow (+ (* 2.0 i) 2.0) 2)) into (pow (+ (* 2.0 i) 2.0) 3)
7.154 * [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)))
7.154 * [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)))
7.154 * [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
7.154 * [taylor]: Taking taylor expansion of (* 2 (/ beta (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) in beta
7.154 * [taylor]: Taking taylor expansion of 2 in beta
7.154 * [backup-simplify]: Simplify 2 into 2
7.154 * [taylor]: Taking taylor expansion of (/ beta (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2))) in beta
7.154 * [taylor]: Taking taylor expansion of beta in beta
7.154 * [backup-simplify]: Simplify 0 into 0
7.154 * [backup-simplify]: Simplify 1 into 1
7.154 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)) in beta
7.154 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 2) in beta
7.154 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
7.154 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
7.155 * [taylor]: Taking taylor expansion of 2.0 in beta
7.155 * [backup-simplify]: Simplify 2.0 into 2.0
7.155 * [taylor]: Taking taylor expansion of i in beta
7.155 * [backup-simplify]: Simplify i into i
7.155 * [taylor]: Taking taylor expansion of beta in beta
7.155 * [backup-simplify]: Simplify 0 into 0
7.155 * [backup-simplify]: Simplify 1 into 1
7.155 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
7.155 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
7.155 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 2) in beta
7.155 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
7.155 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
7.155 * [taylor]: Taking taylor expansion of 2.0 in beta
7.155 * [backup-simplify]: Simplify 2.0 into 2.0
7.155 * [taylor]: Taking taylor expansion of i in beta
7.155 * [backup-simplify]: Simplify i into i
7.155 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
7.155 * [taylor]: Taking taylor expansion of beta in beta
7.155 * [backup-simplify]: Simplify 0 into 0
7.155 * [backup-simplify]: Simplify 1 into 1
7.155 * [taylor]: Taking taylor expansion of 2.0 in beta
7.155 * [backup-simplify]: Simplify 2.0 into 2.0
7.155 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
7.156 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
7.156 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
7.156 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
7.156 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
7.157 * [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)))
7.157 * [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)))
7.157 * [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
7.157 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) in beta
7.157 * [taylor]: Taking taylor expansion of 2.0 in beta
7.157 * [backup-simplify]: Simplify 2.0 into 2.0
7.157 * [taylor]: Taking taylor expansion of (/ 1 (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2))) in beta
7.157 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)) in beta
7.157 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 2) in beta
7.157 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
7.157 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
7.157 * [taylor]: Taking taylor expansion of 2.0 in beta
7.157 * [backup-simplify]: Simplify 2.0 into 2.0
7.158 * [taylor]: Taking taylor expansion of i in beta
7.158 * [backup-simplify]: Simplify i into i
7.158 * [taylor]: Taking taylor expansion of beta in beta
7.158 * [backup-simplify]: Simplify 0 into 0
7.158 * [backup-simplify]: Simplify 1 into 1
7.158 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
7.158 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
7.158 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 2) in beta
7.158 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
7.158 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
7.158 * [taylor]: Taking taylor expansion of 2.0 in beta
7.158 * [backup-simplify]: Simplify 2.0 into 2.0
7.158 * [taylor]: Taking taylor expansion of i in beta
7.158 * [backup-simplify]: Simplify i into i
7.158 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
7.158 * [taylor]: Taking taylor expansion of beta in beta
7.158 * [backup-simplify]: Simplify 0 into 0
7.158 * [backup-simplify]: Simplify 1 into 1
7.158 * [taylor]: Taking taylor expansion of 2.0 in beta
7.158 * [backup-simplify]: Simplify 2.0 into 2.0
7.158 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
7.159 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
7.159 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
7.159 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
7.159 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
7.159 * [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)))
7.160 * [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)))
7.160 * [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
7.160 * [taylor]: Taking taylor expansion of 4.0 in beta
7.160 * [backup-simplify]: Simplify 4.0 into 4.0
7.160 * [taylor]: Taking taylor expansion of (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3))) in beta
7.160 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
7.160 * [taylor]: Taking taylor expansion of beta in beta
7.160 * [backup-simplify]: Simplify 0 into 0
7.160 * [backup-simplify]: Simplify 1 into 1
7.160 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)) in beta
7.160 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 3) in beta
7.160 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
7.160 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
7.160 * [taylor]: Taking taylor expansion of 2.0 in beta
7.160 * [backup-simplify]: Simplify 2.0 into 2.0
7.160 * [taylor]: Taking taylor expansion of i in beta
7.160 * [backup-simplify]: Simplify i into i
7.160 * [taylor]: Taking taylor expansion of beta in beta
7.160 * [backup-simplify]: Simplify 0 into 0
7.160 * [backup-simplify]: Simplify 1 into 1
7.161 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
7.161 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
7.161 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 3) in beta
7.161 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
7.161 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
7.161 * [taylor]: Taking taylor expansion of 2.0 in beta
7.161 * [backup-simplify]: Simplify 2.0 into 2.0
7.161 * [taylor]: Taking taylor expansion of i in beta
7.161 * [backup-simplify]: Simplify i into i
7.161 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
7.161 * [taylor]: Taking taylor expansion of beta in beta
7.161 * [backup-simplify]: Simplify 0 into 0
7.161 * [backup-simplify]: Simplify 1 into 1
7.161 * [taylor]: Taking taylor expansion of 2.0 in beta
7.161 * [backup-simplify]: Simplify 2.0 into 2.0
7.161 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
7.162 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
7.162 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
7.162 * [backup-simplify]: Simplify (* 1 1) into 1
7.162 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
7.163 * [backup-simplify]: Simplify (* (* 2.0 i) (* 4.0 (pow i 2))) into (* 8.0 (pow i 3))
7.163 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
7.163 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (pow (+ (* 2.0 i) 2.0) 2)) into (pow (+ (* 2.0 i) 2.0) 3)
7.163 * [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)))
7.164 * [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)))
7.164 * [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
7.164 * [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
7.164 * [taylor]: Taking taylor expansion of 48.0 in beta
7.164 * [backup-simplify]: Simplify 48.0 into 48.0
7.164 * [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
7.164 * [taylor]: Taking taylor expansion of (* i (pow beta 4)) in beta
7.164 * [taylor]: Taking taylor expansion of i in beta
7.164 * [backup-simplify]: Simplify i into i
7.164 * [taylor]: Taking taylor expansion of (pow beta 4) in beta
7.164 * [taylor]: Taking taylor expansion of beta in beta
7.164 * [backup-simplify]: Simplify 0 into 0
7.164 * [backup-simplify]: Simplify 1 into 1
7.164 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)) in beta
7.164 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 4) in beta
7.164 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
7.164 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
7.164 * [taylor]: Taking taylor expansion of 2.0 in beta
7.164 * [backup-simplify]: Simplify 2.0 into 2.0
7.164 * [taylor]: Taking taylor expansion of i in beta
7.164 * [backup-simplify]: Simplify i into i
7.164 * [taylor]: Taking taylor expansion of beta in beta
7.164 * [backup-simplify]: Simplify 0 into 0
7.164 * [backup-simplify]: Simplify 1 into 1
7.164 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
7.165 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
7.165 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 4) in beta
7.165 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
7.165 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
7.165 * [taylor]: Taking taylor expansion of 2.0 in beta
7.165 * [backup-simplify]: Simplify 2.0 into 2.0
7.165 * [taylor]: Taking taylor expansion of i in beta
7.165 * [backup-simplify]: Simplify i into i
7.165 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
7.165 * [taylor]: Taking taylor expansion of beta in beta
7.165 * [backup-simplify]: Simplify 0 into 0
7.165 * [backup-simplify]: Simplify 1 into 1
7.165 * [taylor]: Taking taylor expansion of 2.0 in beta
7.165 * [backup-simplify]: Simplify 2.0 into 2.0
7.165 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
7.166 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
7.166 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
7.166 * [backup-simplify]: Simplify (* 1 1) into 1
7.167 * [backup-simplify]: Simplify (* 1 1) into 1
7.167 * [backup-simplify]: Simplify (* i 1) into i
7.167 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
7.167 * [backup-simplify]: Simplify (* (* 4.0 (pow i 2)) (* 4.0 (pow i 2))) into (* 16.0 (pow i 4))
7.167 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
7.168 * [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)
7.168 * [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)))
7.168 * [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)))
7.168 * [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
7.168 * [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
7.168 * [taylor]: Taking taylor expansion of 24.0 in beta
7.168 * [backup-simplify]: Simplify 24.0 into 24.0
7.168 * [taylor]: Taking taylor expansion of (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4))) in beta
7.169 * [taylor]: Taking taylor expansion of (pow beta 3) in beta
7.169 * [taylor]: Taking taylor expansion of beta in beta
7.169 * [backup-simplify]: Simplify 0 into 0
7.169 * [backup-simplify]: Simplify 1 into 1
7.169 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)) in beta
7.169 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 4) in beta
7.169 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
7.169 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
7.169 * [taylor]: Taking taylor expansion of 2.0 in beta
7.169 * [backup-simplify]: Simplify 2.0 into 2.0
7.169 * [taylor]: Taking taylor expansion of i in beta
7.169 * [backup-simplify]: Simplify i into i
7.169 * [taylor]: Taking taylor expansion of beta in beta
7.169 * [backup-simplify]: Simplify 0 into 0
7.169 * [backup-simplify]: Simplify 1 into 1
7.169 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
7.169 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
7.169 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 4) in beta
7.169 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
7.169 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
7.169 * [taylor]: Taking taylor expansion of 2.0 in beta
7.169 * [backup-simplify]: Simplify 2.0 into 2.0
7.169 * [taylor]: Taking taylor expansion of i in beta
7.169 * [backup-simplify]: Simplify i into i
7.169 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
7.169 * [taylor]: Taking taylor expansion of beta in beta
7.169 * [backup-simplify]: Simplify 0 into 0
7.169 * [backup-simplify]: Simplify 1 into 1
7.169 * [taylor]: Taking taylor expansion of 2.0 in beta
7.170 * [backup-simplify]: Simplify 2.0 into 2.0
7.170 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
7.170 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
7.170 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
7.171 * [backup-simplify]: Simplify (* 1 1) into 1
7.171 * [backup-simplify]: Simplify (* 1 1) into 1
7.171 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
7.172 * [backup-simplify]: Simplify (* (* 4.0 (pow i 2)) (* 4.0 (pow i 2))) into (* 16.0 (pow i 4))
7.172 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
7.172 * [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)
7.172 * [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)))
7.173 * [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)))
7.173 * [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
7.173 * [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
7.173 * [taylor]: Taking taylor expansion of 96.0 in beta
7.173 * [backup-simplify]: Simplify 96.0 into 96.0
7.173 * [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
7.173 * [taylor]: Taking taylor expansion of (* i (pow beta 3)) in beta
7.173 * [taylor]: Taking taylor expansion of i in beta
7.173 * [backup-simplify]: Simplify i into i
7.173 * [taylor]: Taking taylor expansion of (pow beta 3) in beta
7.173 * [taylor]: Taking taylor expansion of beta in beta
7.173 * [backup-simplify]: Simplify 0 into 0
7.173 * [backup-simplify]: Simplify 1 into 1
7.173 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)) in beta
7.173 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 4) in beta
7.173 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
7.173 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
7.173 * [taylor]: Taking taylor expansion of 2.0 in beta
7.173 * [backup-simplify]: Simplify 2.0 into 2.0
7.173 * [taylor]: Taking taylor expansion of i in beta
7.173 * [backup-simplify]: Simplify i into i
7.174 * [taylor]: Taking taylor expansion of beta in beta
7.174 * [backup-simplify]: Simplify 0 into 0
7.174 * [backup-simplify]: Simplify 1 into 1
7.174 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
7.174 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
7.174 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 4) in beta
7.174 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
7.174 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
7.174 * [taylor]: Taking taylor expansion of 2.0 in beta
7.174 * [backup-simplify]: Simplify 2.0 into 2.0
7.174 * [taylor]: Taking taylor expansion of i in beta
7.174 * [backup-simplify]: Simplify i into i
7.174 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
7.174 * [taylor]: Taking taylor expansion of beta in beta
7.174 * [backup-simplify]: Simplify 0 into 0
7.174 * [backup-simplify]: Simplify 1 into 1
7.174 * [taylor]: Taking taylor expansion of 2.0 in beta
7.174 * [backup-simplify]: Simplify 2.0 into 2.0
7.174 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
7.175 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
7.175 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
7.175 * [backup-simplify]: Simplify (* 1 1) into 1
7.176 * [backup-simplify]: Simplify (* 1 1) into 1
7.176 * [backup-simplify]: Simplify (* i 1) into i
7.176 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
7.176 * [backup-simplify]: Simplify (* (* 4.0 (pow i 2)) (* 4.0 (pow i 2))) into (* 16.0 (pow i 4))
7.176 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
7.177 * [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)
7.177 * [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)))
7.177 * [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)))
7.177 * [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
7.178 * [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
7.178 * [taylor]: Taking taylor expansion of 8 in beta
7.178 * [backup-simplify]: Simplify 8 into 8
7.178 * [taylor]: Taking taylor expansion of (/ (pow beta 5) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4))) in beta
7.178 * [taylor]: Taking taylor expansion of (pow beta 5) in beta
7.178 * [taylor]: Taking taylor expansion of beta in beta
7.178 * [backup-simplify]: Simplify 0 into 0
7.178 * [backup-simplify]: Simplify 1 into 1
7.178 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)) in beta
7.178 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 4) in beta
7.178 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
7.178 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
7.178 * [taylor]: Taking taylor expansion of 2.0 in beta
7.178 * [backup-simplify]: Simplify 2.0 into 2.0
7.178 * [taylor]: Taking taylor expansion of i in beta
7.178 * [backup-simplify]: Simplify i into i
7.178 * [taylor]: Taking taylor expansion of beta in beta
7.178 * [backup-simplify]: Simplify 0 into 0
7.178 * [backup-simplify]: Simplify 1 into 1
7.178 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
7.178 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
7.178 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 4) in beta
7.178 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
7.178 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
7.178 * [taylor]: Taking taylor expansion of 2.0 in beta
7.179 * [backup-simplify]: Simplify 2.0 into 2.0
7.179 * [taylor]: Taking taylor expansion of i in beta
7.179 * [backup-simplify]: Simplify i into i
7.179 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
7.179 * [taylor]: Taking taylor expansion of beta in beta
7.179 * [backup-simplify]: Simplify 0 into 0
7.179 * [backup-simplify]: Simplify 1 into 1
7.179 * [taylor]: Taking taylor expansion of 2.0 in beta
7.179 * [backup-simplify]: Simplify 2.0 into 2.0
7.179 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
7.179 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
7.179 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
7.180 * [backup-simplify]: Simplify (* 1 1) into 1
7.180 * [backup-simplify]: Simplify (* 1 1) into 1
7.181 * [backup-simplify]: Simplify (* 1 1) into 1
7.181 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
7.181 * [backup-simplify]: Simplify (* (* 4.0 (pow i 2)) (* 4.0 (pow i 2))) into (* 16.0 (pow i 4))
7.181 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
7.182 * [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)
7.182 * [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)))
7.182 * [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)))
7.182 * [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
7.182 * [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
7.182 * [taylor]: Taking taylor expansion of 64.0 in beta
7.183 * [backup-simplify]: Simplify 64.0 into 64.0
7.183 * [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
7.183 * [taylor]: Taking taylor expansion of (* (pow i 3) (pow beta 2)) in beta
7.183 * [taylor]: Taking taylor expansion of (pow i 3) in beta
7.183 * [taylor]: Taking taylor expansion of i in beta
7.183 * [backup-simplify]: Simplify i into i
7.183 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
7.183 * [taylor]: Taking taylor expansion of beta in beta
7.183 * [backup-simplify]: Simplify 0 into 0
7.183 * [backup-simplify]: Simplify 1 into 1
7.183 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)) in beta
7.183 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 4) in beta
7.183 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
7.183 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
7.183 * [taylor]: Taking taylor expansion of 2.0 in beta
7.183 * [backup-simplify]: Simplify 2.0 into 2.0
7.183 * [taylor]: Taking taylor expansion of i in beta
7.183 * [backup-simplify]: Simplify i into i
7.183 * [taylor]: Taking taylor expansion of beta in beta
7.183 * [backup-simplify]: Simplify 0 into 0
7.183 * [backup-simplify]: Simplify 1 into 1
7.183 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
7.183 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
7.183 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 4) in beta
7.183 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
7.183 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
7.183 * [taylor]: Taking taylor expansion of 2.0 in beta
7.183 * [backup-simplify]: Simplify 2.0 into 2.0
7.183 * [taylor]: Taking taylor expansion of i in beta
7.184 * [backup-simplify]: Simplify i into i
7.184 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
7.184 * [taylor]: Taking taylor expansion of beta in beta
7.184 * [backup-simplify]: Simplify 0 into 0
7.184 * [backup-simplify]: Simplify 1 into 1
7.184 * [taylor]: Taking taylor expansion of 2.0 in beta
7.184 * [backup-simplify]: Simplify 2.0 into 2.0
7.184 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
7.184 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
7.184 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
7.184 * [backup-simplify]: Simplify (* i i) into (pow i 2)
7.185 * [backup-simplify]: Simplify (* i (pow i 2)) into (pow i 3)
7.185 * [backup-simplify]: Simplify (* 1 1) into 1
7.185 * [backup-simplify]: Simplify (* (pow i 3) 1) into (pow i 3)
7.185 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
7.186 * [backup-simplify]: Simplify (* (* 4.0 (pow i 2)) (* 4.0 (pow i 2))) into (* 16.0 (pow i 4))
7.186 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
7.186 * [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)
7.186 * [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)))
7.187 * [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)))
7.187 * [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
7.187 * [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
7.187 * [taylor]: Taking taylor expansion of 96.0 in beta
7.187 * [backup-simplify]: Simplify 96.0 into 96.0
7.187 * [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
7.187 * [taylor]: Taking taylor expansion of (* (pow i 2) (pow beta 3)) in beta
7.187 * [taylor]: Taking taylor expansion of (pow i 2) in beta
7.187 * [taylor]: Taking taylor expansion of i in beta
7.187 * [backup-simplify]: Simplify i into i
7.187 * [taylor]: Taking taylor expansion of (pow beta 3) in beta
7.187 * [taylor]: Taking taylor expansion of beta in beta
7.187 * [backup-simplify]: Simplify 0 into 0
7.187 * [backup-simplify]: Simplify 1 into 1
7.187 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)) in beta
7.187 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 4) in beta
7.187 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
7.188 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
7.188 * [taylor]: Taking taylor expansion of 2.0 in beta
7.188 * [backup-simplify]: Simplify 2.0 into 2.0
7.188 * [taylor]: Taking taylor expansion of i in beta
7.188 * [backup-simplify]: Simplify i into i
7.188 * [taylor]: Taking taylor expansion of beta in beta
7.188 * [backup-simplify]: Simplify 0 into 0
7.188 * [backup-simplify]: Simplify 1 into 1
7.188 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
7.188 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
7.188 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 4) in beta
7.188 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
7.188 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
7.188 * [taylor]: Taking taylor expansion of 2.0 in beta
7.188 * [backup-simplify]: Simplify 2.0 into 2.0
7.188 * [taylor]: Taking taylor expansion of i in beta
7.188 * [backup-simplify]: Simplify i into i
7.188 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
7.188 * [taylor]: Taking taylor expansion of beta in beta
7.188 * [backup-simplify]: Simplify 0 into 0
7.188 * [backup-simplify]: Simplify 1 into 1
7.188 * [taylor]: Taking taylor expansion of 2.0 in beta
7.188 * [backup-simplify]: Simplify 2.0 into 2.0
7.188 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
7.189 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
7.189 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
7.189 * [backup-simplify]: Simplify (* i i) into (pow i 2)
7.190 * [backup-simplify]: Simplify (* 1 1) into 1
7.190 * [backup-simplify]: Simplify (* 1 1) into 1
7.190 * [backup-simplify]: Simplify (* (pow i 2) 1) into (pow i 2)
7.190 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
7.190 * [backup-simplify]: Simplify (* (* 4.0 (pow i 2)) (* 4.0 (pow i 2))) into (* 16.0 (pow i 4))
7.191 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
7.191 * [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)
7.191 * [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)))
7.192 * [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)))
7.192 * [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
7.192 * [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
7.192 * [taylor]: Taking taylor expansion of 24.0 in beta
7.192 * [backup-simplify]: Simplify 24.0 into 24.0
7.192 * [taylor]: Taking taylor expansion of (/ (pow beta 4) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4))) in beta
7.192 * [taylor]: Taking taylor expansion of (pow beta 4) in beta
7.192 * [taylor]: Taking taylor expansion of beta in beta
7.192 * [backup-simplify]: Simplify 0 into 0
7.192 * [backup-simplify]: Simplify 1 into 1
7.192 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)) in beta
7.192 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 4) in beta
7.192 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
7.192 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
7.192 * [taylor]: Taking taylor expansion of 2.0 in beta
7.192 * [backup-simplify]: Simplify 2.0 into 2.0
7.192 * [taylor]: Taking taylor expansion of i in beta
7.192 * [backup-simplify]: Simplify i into i
7.192 * [taylor]: Taking taylor expansion of beta in beta
7.192 * [backup-simplify]: Simplify 0 into 0
7.192 * [backup-simplify]: Simplify 1 into 1
7.192 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
7.193 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
7.193 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 4) in beta
7.193 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
7.193 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
7.193 * [taylor]: Taking taylor expansion of 2.0 in beta
7.193 * [backup-simplify]: Simplify 2.0 into 2.0
7.193 * [taylor]: Taking taylor expansion of i in beta
7.193 * [backup-simplify]: Simplify i into i
7.193 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
7.193 * [taylor]: Taking taylor expansion of beta in beta
7.193 * [backup-simplify]: Simplify 0 into 0
7.193 * [backup-simplify]: Simplify 1 into 1
7.193 * [taylor]: Taking taylor expansion of 2.0 in beta
7.193 * [backup-simplify]: Simplify 2.0 into 2.0
7.193 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
7.194 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
7.194 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
7.194 * [backup-simplify]: Simplify (* 1 1) into 1
7.195 * [backup-simplify]: Simplify (* 1 1) into 1
7.195 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
7.195 * [backup-simplify]: Simplify (* (* 4.0 (pow i 2)) (* 4.0 (pow i 2))) into (* 16.0 (pow i 4))
7.196 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
7.196 * [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)
7.196 * [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)))
7.197 * [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)))
7.197 * [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
7.197 * [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
7.197 * [taylor]: Taking taylor expansion of 8.0 in beta
7.197 * [backup-simplify]: Simplify 8.0 into 8.0
7.197 * [taylor]: Taking taylor expansion of (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4))) in beta
7.197 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
7.197 * [taylor]: Taking taylor expansion of beta in beta
7.197 * [backup-simplify]: Simplify 0 into 0
7.197 * [backup-simplify]: Simplify 1 into 1
7.197 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)) in beta
7.197 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 4) in beta
7.197 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
7.197 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
7.197 * [taylor]: Taking taylor expansion of 2.0 in beta
7.197 * [backup-simplify]: Simplify 2.0 into 2.0
7.197 * [taylor]: Taking taylor expansion of i in beta
7.197 * [backup-simplify]: Simplify i into i
7.197 * [taylor]: Taking taylor expansion of beta in beta
7.197 * [backup-simplify]: Simplify 0 into 0
7.197 * [backup-simplify]: Simplify 1 into 1
7.197 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
7.197 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
7.197 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 4) in beta
7.197 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
7.198 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
7.198 * [taylor]: Taking taylor expansion of 2.0 in beta
7.198 * [backup-simplify]: Simplify 2.0 into 2.0
7.198 * [taylor]: Taking taylor expansion of i in beta
7.198 * [backup-simplify]: Simplify i into i
7.198 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
7.198 * [taylor]: Taking taylor expansion of beta in beta
7.198 * [backup-simplify]: Simplify 0 into 0
7.198 * [backup-simplify]: Simplify 1 into 1
7.198 * [taylor]: Taking taylor expansion of 2.0 in beta
7.198 * [backup-simplify]: Simplify 2.0 into 2.0
7.198 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
7.198 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
7.199 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
7.199 * [backup-simplify]: Simplify (* 1 1) into 1
7.199 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
7.199 * [backup-simplify]: Simplify (* (* 4.0 (pow i 2)) (* 4.0 (pow i 2))) into (* 16.0 (pow i 4))
7.200 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
7.200 * [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)
7.200 * [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)))
7.201 * [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)))
7.201 * [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
7.201 * [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
7.201 * [taylor]: Taking taylor expansion of 48.0 in beta
7.201 * [backup-simplify]: Simplify 48.0 into 48.0
7.201 * [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
7.201 * [taylor]: Taking taylor expansion of (* i (pow beta 2)) in beta
7.201 * [taylor]: Taking taylor expansion of i in beta
7.201 * [backup-simplify]: Simplify i into i
7.201 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
7.201 * [taylor]: Taking taylor expansion of beta in beta
7.201 * [backup-simplify]: Simplify 0 into 0
7.201 * [backup-simplify]: Simplify 1 into 1
7.201 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)) in beta
7.201 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 4) in beta
7.201 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
7.201 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
7.201 * [taylor]: Taking taylor expansion of 2.0 in beta
7.201 * [backup-simplify]: Simplify 2.0 into 2.0
7.201 * [taylor]: Taking taylor expansion of i in beta
7.201 * [backup-simplify]: Simplify i into i
7.201 * [taylor]: Taking taylor expansion of beta in beta
7.201 * [backup-simplify]: Simplify 0 into 0
7.201 * [backup-simplify]: Simplify 1 into 1
7.202 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
7.202 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
7.202 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 4) in beta
7.202 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
7.202 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
7.202 * [taylor]: Taking taylor expansion of 2.0 in beta
7.202 * [backup-simplify]: Simplify 2.0 into 2.0
7.202 * [taylor]: Taking taylor expansion of i in beta
7.202 * [backup-simplify]: Simplify i into i
7.202 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
7.202 * [taylor]: Taking taylor expansion of beta in beta
7.202 * [backup-simplify]: Simplify 0 into 0
7.202 * [backup-simplify]: Simplify 1 into 1
7.202 * [taylor]: Taking taylor expansion of 2.0 in beta
7.202 * [backup-simplify]: Simplify 2.0 into 2.0
7.202 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
7.203 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
7.203 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
7.203 * [backup-simplify]: Simplify (* 1 1) into 1
7.203 * [backup-simplify]: Simplify (* i 1) into i
7.203 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
7.204 * [backup-simplify]: Simplify (* (* 4.0 (pow i 2)) (* 4.0 (pow i 2))) into (* 16.0 (pow i 4))
7.204 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
7.204 * [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)
7.204 * [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)))
7.205 * [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)))
7.205 * [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
7.205 * [taylor]: Taking taylor expansion of 96.0 in beta
7.205 * [backup-simplify]: Simplify 96.0 into 96.0
7.205 * [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
7.205 * [taylor]: Taking taylor expansion of (* (pow i 2) (pow beta 2)) in beta
7.205 * [taylor]: Taking taylor expansion of (pow i 2) in beta
7.205 * [taylor]: Taking taylor expansion of i in beta
7.205 * [backup-simplify]: Simplify i into i
7.205 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
7.205 * [taylor]: Taking taylor expansion of beta in beta
7.205 * [backup-simplify]: Simplify 0 into 0
7.205 * [backup-simplify]: Simplify 1 into 1
7.205 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)) in beta
7.205 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 4) in beta
7.205 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
7.205 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
7.205 * [taylor]: Taking taylor expansion of 2.0 in beta
7.205 * [backup-simplify]: Simplify 2.0 into 2.0
7.206 * [taylor]: Taking taylor expansion of i in beta
7.206 * [backup-simplify]: Simplify i into i
7.206 * [taylor]: Taking taylor expansion of beta in beta
7.206 * [backup-simplify]: Simplify 0 into 0
7.206 * [backup-simplify]: Simplify 1 into 1
7.206 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
7.206 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
7.206 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 4) in beta
7.206 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
7.206 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
7.206 * [taylor]: Taking taylor expansion of 2.0 in beta
7.206 * [backup-simplify]: Simplify 2.0 into 2.0
7.206 * [taylor]: Taking taylor expansion of i in beta
7.206 * [backup-simplify]: Simplify i into i
7.206 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
7.206 * [taylor]: Taking taylor expansion of beta in beta
7.206 * [backup-simplify]: Simplify 0 into 0
7.206 * [backup-simplify]: Simplify 1 into 1
7.206 * [taylor]: Taking taylor expansion of 2.0 in beta
7.206 * [backup-simplify]: Simplify 2.0 into 2.0
7.206 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
7.207 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
7.207 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
7.207 * [backup-simplify]: Simplify (* i i) into (pow i 2)
7.207 * [backup-simplify]: Simplify (* 1 1) into 1
7.208 * [backup-simplify]: Simplify (* (pow i 2) 1) into (pow i 2)
7.208 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
7.208 * [backup-simplify]: Simplify (* (* 4.0 (pow i 2)) (* 4.0 (pow i 2))) into (* 16.0 (pow i 4))
7.208 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
7.208 * [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)
7.209 * [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)))
7.209 * [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)))
7.209 * [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)))
7.210 * [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)))
7.210 * [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))))
7.211 * [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))))
7.211 * [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))))
7.212 * [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)))))
7.213 * [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)))))
7.214 * [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)))))
7.214 * [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
7.214 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 2)))) in i
7.214 * [taylor]: Taking taylor expansion of 0.5 in i
7.214 * [backup-simplify]: Simplify 0.5 into 0.5
7.214 * [taylor]: Taking taylor expansion of (/ 1 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 2))) in i
7.214 * [taylor]: Taking taylor expansion of (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 2)) in i
7.214 * [taylor]: Taking taylor expansion of (pow i 2) in i
7.214 * [taylor]: Taking taylor expansion of i in i
7.214 * [backup-simplify]: Simplify 0 into 0
7.214 * [backup-simplify]: Simplify 1 into 1
7.214 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) 2.0) 2) in i
7.214 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) 2.0) in i
7.214 * [taylor]: Taking taylor expansion of (* 2.0 i) in i
7.214 * [taylor]: Taking taylor expansion of 2.0 in i
7.214 * [backup-simplify]: Simplify 2.0 into 2.0
7.214 * [taylor]: Taking taylor expansion of i in i
7.215 * [backup-simplify]: Simplify 0 into 0
7.215 * [backup-simplify]: Simplify 1 into 1
7.215 * [taylor]: Taking taylor expansion of 2.0 in i
7.215 * [backup-simplify]: Simplify 2.0 into 2.0
7.215 * [backup-simplify]: Simplify (* 2.0 0) into 0
7.216 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
7.216 * [backup-simplify]: Simplify (* 1 1) into 1
7.217 * [backup-simplify]: Simplify (* 2.0 2.0) into 4.0
7.217 * [backup-simplify]: Simplify (* 1 4.0) into 4.0
7.218 * [backup-simplify]: Simplify (/ 1 4.0) into 0.25
7.218 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (* i (pow (+ (* 2.0 i) 2.0) 2)))) in i
7.218 * [taylor]: Taking taylor expansion of 1.0 in i
7.218 * [backup-simplify]: Simplify 1.0 into 1.0
7.218 * [taylor]: Taking taylor expansion of (/ 1 (* i (pow (+ (* 2.0 i) 2.0) 2))) in i
7.218 * [taylor]: Taking taylor expansion of (* i (pow (+ (* 2.0 i) 2.0) 2)) in i
7.218 * [taylor]: Taking taylor expansion of i in i
7.218 * [backup-simplify]: Simplify 0 into 0
7.218 * [backup-simplify]: Simplify 1 into 1
7.218 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) 2.0) 2) in i
7.218 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) 2.0) in i
7.218 * [taylor]: Taking taylor expansion of (* 2.0 i) in i
7.218 * [taylor]: Taking taylor expansion of 2.0 in i
7.218 * [backup-simplify]: Simplify 2.0 into 2.0
7.218 * [taylor]: Taking taylor expansion of i in i
7.218 * [backup-simplify]: Simplify 0 into 0
7.218 * [backup-simplify]: Simplify 1 into 1
7.218 * [taylor]: Taking taylor expansion of 2.0 in i
7.218 * [backup-simplify]: Simplify 2.0 into 2.0
7.219 * [backup-simplify]: Simplify (* 2.0 0) into 0
7.219 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
7.220 * [backup-simplify]: Simplify (* 2.0 2.0) into 4.0
7.220 * [backup-simplify]: Simplify (* 0 4.0) into 0
7.222 * [backup-simplify]: Simplify (+ (* 2.0 1) (* 0 0)) into 2.0
7.228 * [backup-simplify]: Simplify (+ 2.0 0) into 2.0
7.230 * [backup-simplify]: Simplify (+ (* 2.0 2.0) (* 2.0 2.0)) into 8.0
7.232 * [backup-simplify]: Simplify (+ (* 0 8.0) (* 1 4.0)) into 4.0
7.232 * [backup-simplify]: Simplify (/ 1 4.0) into 0.25
7.233 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 1) (* 0 0))) into 0
7.234 * [backup-simplify]: Simplify (+ 0 0) into 0
7.235 * [backup-simplify]: Simplify (+ (* 2.0 1) (* 0 0)) into 2.0
7.235 * [backup-simplify]: Simplify (+ 2.0 0) into 2.0
7.237 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 2.0 2.0) (* 0 2.0))) into 4.0
7.237 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.238 * [backup-simplify]: Simplify (+ (* 2.0 2.0) (* 2.0 2.0)) into 8.0
7.239 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.240 * [backup-simplify]: Simplify (+ (* 1 4.0) (+ (* 0 8.0) (* 0 4.0))) into 4.0
7.241 * [backup-simplify]: Simplify (+ (* 1 8.0) (* 0 4.0)) into 8.0
7.242 * [backup-simplify]: Simplify (- (+ (* 0.25 (/ 8.0 4.0)))) into (- 0.5)
7.245 * [backup-simplify]: Simplify (- (+ (* 0.25 (/ 4.0 4.0)) (* (- 0.5) (/ 8.0 4.0)))) into 0.75
7.246 * [backup-simplify]: Simplify (+ (* 0.5 0.75) (+ (* 0 (- 0.5)) (* 0 0.25))) into 0.375
7.247 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 1) (* 0 0))) into 0
7.247 * [backup-simplify]: Simplify (+ 0 0) into 0
7.249 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 2.0 2.0) (* 0 2.0))) into 4.0
7.250 * [backup-simplify]: Simplify (+ (* 0 4.0) (+ (* 1 8.0) (* 0 4.0))) into 8.0
7.252 * [backup-simplify]: Simplify (- (+ (* 0.25 (/ 8.0 4.0)))) into (- 0.5)
7.253 * [backup-simplify]: Simplify (+ (* 1.0 (- 0.5)) (* 0 0.25)) into (- 0.5)
7.254 * [backup-simplify]: Simplify (+ 0.375 (- 0.5)) into (- 0.125)
7.254 * [backup-simplify]: Simplify (- 0.125) into (- 0.125)
7.255 * [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))))
7.255 * [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)))))
7.255 * [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
7.256 * [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
7.256 * [taylor]: Taking taylor expansion of (* (+ (/ 1 alpha) (/ 1 beta)) (- (/ 1 beta) (/ 1 alpha))) in i
7.256 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (/ 1 beta)) in i
7.256 * [taylor]: Taking taylor expansion of (/ 1 alpha) in i
7.256 * [taylor]: Taking taylor expansion of alpha in i
7.256 * [backup-simplify]: Simplify alpha into alpha
7.256 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
7.256 * [taylor]: Taking taylor expansion of (/ 1 beta) in i
7.256 * [taylor]: Taking taylor expansion of beta in i
7.256 * [backup-simplify]: Simplify beta into beta
7.256 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
7.256 * [taylor]: Taking taylor expansion of (- (/ 1 beta) (/ 1 alpha)) in i
7.256 * [taylor]: Taking taylor expansion of (/ 1 beta) in i
7.256 * [taylor]: Taking taylor expansion of beta in i
7.256 * [backup-simplify]: Simplify beta into beta
7.256 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
7.256 * [taylor]: Taking taylor expansion of (/ 1 alpha) in i
7.256 * [taylor]: Taking taylor expansion of alpha in i
7.256 * [backup-simplify]: Simplify alpha into alpha
7.256 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
7.256 * [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
7.256 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) in i
7.256 * [taylor]: Taking taylor expansion of (/ 1 alpha) in i
7.256 * [taylor]: Taking taylor expansion of alpha in i
7.256 * [backup-simplify]: Simplify alpha into alpha
7.256 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
7.256 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0)) in i
7.256 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in i
7.256 * [taylor]: Taking taylor expansion of 2.0 in i
7.256 * [backup-simplify]: Simplify 2.0 into 2.0
7.256 * [taylor]: Taking taylor expansion of (/ 1 i) in i
7.256 * [taylor]: Taking taylor expansion of i in i
7.256 * [backup-simplify]: Simplify 0 into 0
7.256 * [backup-simplify]: Simplify 1 into 1
7.256 * [backup-simplify]: Simplify (/ 1 1) into 1
7.257 * [taylor]: Taking taylor expansion of (+ (/ 1 beta) 2.0) in i
7.257 * [taylor]: Taking taylor expansion of (/ 1 beta) in i
7.257 * [taylor]: Taking taylor expansion of beta in i
7.257 * [backup-simplify]: Simplify beta into beta
7.257 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
7.257 * [taylor]: Taking taylor expansion of 2.0 in i
7.257 * [backup-simplify]: Simplify 2.0 into 2.0
7.257 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in i
7.257 * [taylor]: Taking taylor expansion of (/ 1 alpha) in i
7.257 * [taylor]: Taking taylor expansion of alpha in i
7.257 * [backup-simplify]: Simplify alpha into alpha
7.257 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
7.257 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in i
7.257 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in i
7.257 * [taylor]: Taking taylor expansion of 2.0 in i
7.257 * [backup-simplify]: Simplify 2.0 into 2.0
7.257 * [taylor]: Taking taylor expansion of (/ 1 i) in i
7.257 * [taylor]: Taking taylor expansion of i in i
7.257 * [backup-simplify]: Simplify 0 into 0
7.257 * [backup-simplify]: Simplify 1 into 1
7.257 * [backup-simplify]: Simplify (/ 1 1) into 1
7.257 * [taylor]: Taking taylor expansion of (/ 1 beta) in i
7.257 * [taylor]: Taking taylor expansion of beta in i
7.257 * [backup-simplify]: Simplify beta into beta
7.257 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
7.257 * [backup-simplify]: Simplify (+ (/ 1 alpha) (/ 1 beta)) into (+ (/ 1 alpha) (/ 1 beta))
7.257 * [backup-simplify]: Simplify (- (/ 1 alpha)) into (- (/ 1 alpha))
7.257 * [backup-simplify]: Simplify (+ (/ 1 beta) (- (/ 1 alpha))) into (- (/ 1 beta) (/ 1 alpha))
7.258 * [backup-simplify]: Simplify (* (+ (/ 1 alpha) (/ 1 beta)) (- (/ 1 beta) (/ 1 alpha))) into (* (+ (/ 1 alpha) (/ 1 beta)) (- (/ 1 beta) (/ 1 alpha)))
7.258 * [backup-simplify]: Simplify (* 2.0 1) into 2.0
7.258 * [backup-simplify]: Simplify (+ 2.0 0) into 2.0
7.258 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
7.259 * [backup-simplify]: Simplify (* 2.0 1) into 2.0
7.259 * [backup-simplify]: Simplify (+ 2.0 0) into 2.0
7.259 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
7.260 * [backup-simplify]: Simplify (* 2.0 2.0) into 4.0
7.260 * [backup-simplify]: Simplify (/ (* (+ (/ 1 alpha) (/ 1 beta)) (- (/ 1 beta) (/ 1 alpha))) 4.0) into (* 0.25 (* (+ (/ 1 alpha) (/ 1 beta)) (- (/ 1 beta) (/ 1 alpha))))
7.260 * [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
7.260 * [taylor]: Taking taylor expansion of (* (+ (/ 1 alpha) (/ 1 beta)) (- (/ 1 beta) (/ 1 alpha))) in beta
7.260 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (/ 1 beta)) in beta
7.260 * [taylor]: Taking taylor expansion of (/ 1 alpha) in beta
7.260 * [taylor]: Taking taylor expansion of alpha in beta
7.260 * [backup-simplify]: Simplify alpha into alpha
7.260 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
7.260 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
7.260 * [taylor]: Taking taylor expansion of beta in beta
7.260 * [backup-simplify]: Simplify 0 into 0
7.260 * [backup-simplify]: Simplify 1 into 1
7.261 * [backup-simplify]: Simplify (/ 1 1) into 1
7.261 * [taylor]: Taking taylor expansion of (- (/ 1 beta) (/ 1 alpha)) in beta
7.261 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
7.261 * [taylor]: Taking taylor expansion of beta in beta
7.261 * [backup-simplify]: Simplify 0 into 0
7.261 * [backup-simplify]: Simplify 1 into 1
7.261 * [backup-simplify]: Simplify (/ 1 1) into 1
7.261 * [taylor]: Taking taylor expansion of (/ 1 alpha) in beta
7.261 * [taylor]: Taking taylor expansion of alpha in beta
7.261 * [backup-simplify]: Simplify alpha into alpha
7.261 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
7.262 * [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
7.262 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) in beta
7.262 * [taylor]: Taking taylor expansion of (/ 1 alpha) in beta
7.262 * [taylor]: Taking taylor expansion of alpha in beta
7.262 * [backup-simplify]: Simplify alpha into alpha
7.262 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
7.262 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0)) in beta
7.262 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in beta
7.262 * [taylor]: Taking taylor expansion of 2.0 in beta
7.262 * [backup-simplify]: Simplify 2.0 into 2.0
7.262 * [taylor]: Taking taylor expansion of (/ 1 i) in beta
7.262 * [taylor]: Taking taylor expansion of i in beta
7.262 * [backup-simplify]: Simplify i into i
7.262 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
7.262 * [taylor]: Taking taylor expansion of (+ (/ 1 beta) 2.0) in beta
7.262 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
7.262 * [taylor]: Taking taylor expansion of beta in beta
7.262 * [backup-simplify]: Simplify 0 into 0
7.262 * [backup-simplify]: Simplify 1 into 1
7.263 * [backup-simplify]: Simplify (/ 1 1) into 1
7.263 * [taylor]: Taking taylor expansion of 2.0 in beta
7.263 * [backup-simplify]: Simplify 2.0 into 2.0
7.263 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in beta
7.263 * [taylor]: Taking taylor expansion of (/ 1 alpha) in beta
7.263 * [taylor]: Taking taylor expansion of alpha in beta
7.263 * [backup-simplify]: Simplify alpha into alpha
7.263 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
7.263 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in beta
7.263 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in beta
7.263 * [taylor]: Taking taylor expansion of 2.0 in beta
7.263 * [backup-simplify]: Simplify 2.0 into 2.0
7.263 * [taylor]: Taking taylor expansion of (/ 1 i) in beta
7.263 * [taylor]: Taking taylor expansion of i in beta
7.264 * [backup-simplify]: Simplify i into i
7.264 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
7.264 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
7.264 * [taylor]: Taking taylor expansion of beta in beta
7.264 * [backup-simplify]: Simplify 0 into 0
7.264 * [backup-simplify]: Simplify 1 into 1
7.264 * [backup-simplify]: Simplify (/ 1 1) into 1
7.265 * [backup-simplify]: Simplify (+ 0 1) into 1
7.265 * [backup-simplify]: Simplify (+ 1 0) into 1
7.265 * [backup-simplify]: Simplify (* 1 1) into 1
7.266 * [backup-simplify]: Simplify (+ 1 0) into 1
7.266 * [backup-simplify]: Simplify (+ 0 1) into 1
7.267 * [backup-simplify]: Simplify (+ 0 1) into 1
7.267 * [backup-simplify]: Simplify (+ 0 1) into 1
7.268 * [backup-simplify]: Simplify (+ 0 1) into 1
7.268 * [backup-simplify]: Simplify (* 1 1) into 1
7.268 * [backup-simplify]: Simplify (/ 1 1) into 1
7.268 * [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
7.268 * [taylor]: Taking taylor expansion of (* (+ (/ 1 alpha) (/ 1 beta)) (- (/ 1 beta) (/ 1 alpha))) in alpha
7.268 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (/ 1 beta)) in alpha
7.269 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
7.269 * [taylor]: Taking taylor expansion of alpha in alpha
7.269 * [backup-simplify]: Simplify 0 into 0
7.269 * [backup-simplify]: Simplify 1 into 1
7.269 * [backup-simplify]: Simplify (/ 1 1) into 1
7.269 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
7.269 * [taylor]: Taking taylor expansion of beta in alpha
7.269 * [backup-simplify]: Simplify beta into beta
7.269 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
7.269 * [taylor]: Taking taylor expansion of (- (/ 1 beta) (/ 1 alpha)) in alpha
7.269 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
7.269 * [taylor]: Taking taylor expansion of beta in alpha
7.269 * [backup-simplify]: Simplify beta into beta
7.269 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
7.269 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
7.269 * [taylor]: Taking taylor expansion of alpha in alpha
7.269 * [backup-simplify]: Simplify 0 into 0
7.270 * [backup-simplify]: Simplify 1 into 1
7.270 * [backup-simplify]: Simplify (/ 1 1) into 1
7.270 * [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
7.270 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) in alpha
7.270 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
7.270 * [taylor]: Taking taylor expansion of alpha in alpha
7.270 * [backup-simplify]: Simplify 0 into 0
7.270 * [backup-simplify]: Simplify 1 into 1
7.270 * [backup-simplify]: Simplify (/ 1 1) into 1
7.271 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0)) in alpha
7.271 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
7.271 * [taylor]: Taking taylor expansion of 2.0 in alpha
7.271 * [backup-simplify]: Simplify 2.0 into 2.0
7.271 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
7.271 * [taylor]: Taking taylor expansion of i in alpha
7.271 * [backup-simplify]: Simplify i into i
7.271 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
7.271 * [taylor]: Taking taylor expansion of (+ (/ 1 beta) 2.0) in alpha
7.271 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
7.271 * [taylor]: Taking taylor expansion of beta in alpha
7.271 * [backup-simplify]: Simplify beta into beta
7.271 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
7.271 * [taylor]: Taking taylor expansion of 2.0 in alpha
7.271 * [backup-simplify]: Simplify 2.0 into 2.0
7.271 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in alpha
7.271 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
7.271 * [taylor]: Taking taylor expansion of alpha in alpha
7.271 * [backup-simplify]: Simplify 0 into 0
7.271 * [backup-simplify]: Simplify 1 into 1
7.272 * [backup-simplify]: Simplify (/ 1 1) into 1
7.272 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in alpha
7.272 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
7.272 * [taylor]: Taking taylor expansion of 2.0 in alpha
7.272 * [backup-simplify]: Simplify 2.0 into 2.0
7.272 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
7.272 * [taylor]: Taking taylor expansion of i in alpha
7.272 * [backup-simplify]: Simplify i into i
7.272 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
7.272 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
7.272 * [taylor]: Taking taylor expansion of beta in alpha
7.272 * [backup-simplify]: Simplify beta into beta
7.272 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
7.273 * [backup-simplify]: Simplify (+ 1 0) into 1
7.273 * [backup-simplify]: Simplify (- 1) into -1
7.273 * [backup-simplify]: Simplify (+ 0 -1) into -1
7.274 * [backup-simplify]: Simplify (* 1 -1) into -1
7.274 * [backup-simplify]: Simplify (+ 1 0) into 1
7.275 * [backup-simplify]: Simplify (+ 1 0) into 1
7.275 * [backup-simplify]: Simplify (* 1 1) into 1
7.275 * [backup-simplify]: Simplify (/ -1 1) into -1
7.276 * [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
7.276 * [taylor]: Taking taylor expansion of (* (+ (/ 1 alpha) (/ 1 beta)) (- (/ 1 beta) (/ 1 alpha))) in alpha
7.276 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (/ 1 beta)) in alpha
7.276 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
7.276 * [taylor]: Taking taylor expansion of alpha in alpha
7.276 * [backup-simplify]: Simplify 0 into 0
7.276 * [backup-simplify]: Simplify 1 into 1
7.276 * [backup-simplify]: Simplify (/ 1 1) into 1
7.276 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
7.276 * [taylor]: Taking taylor expansion of beta in alpha
7.276 * [backup-simplify]: Simplify beta into beta
7.276 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
7.276 * [taylor]: Taking taylor expansion of (- (/ 1 beta) (/ 1 alpha)) in alpha
7.276 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
7.276 * [taylor]: Taking taylor expansion of beta in alpha
7.276 * [backup-simplify]: Simplify beta into beta
7.276 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
7.277 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
7.277 * [taylor]: Taking taylor expansion of alpha in alpha
7.277 * [backup-simplify]: Simplify 0 into 0
7.277 * [backup-simplify]: Simplify 1 into 1
7.277 * [backup-simplify]: Simplify (/ 1 1) into 1
7.277 * [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
7.277 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) in alpha
7.277 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
7.277 * [taylor]: Taking taylor expansion of alpha in alpha
7.277 * [backup-simplify]: Simplify 0 into 0
7.277 * [backup-simplify]: Simplify 1 into 1
7.278 * [backup-simplify]: Simplify (/ 1 1) into 1
7.278 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0)) in alpha
7.278 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
7.278 * [taylor]: Taking taylor expansion of 2.0 in alpha
7.278 * [backup-simplify]: Simplify 2.0 into 2.0
7.278 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
7.278 * [taylor]: Taking taylor expansion of i in alpha
7.278 * [backup-simplify]: Simplify i into i
7.278 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
7.278 * [taylor]: Taking taylor expansion of (+ (/ 1 beta) 2.0) in alpha
7.278 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
7.278 * [taylor]: Taking taylor expansion of beta in alpha
7.278 * [backup-simplify]: Simplify beta into beta
7.278 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
7.278 * [taylor]: Taking taylor expansion of 2.0 in alpha
7.278 * [backup-simplify]: Simplify 2.0 into 2.0
7.278 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in alpha
7.278 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
7.278 * [taylor]: Taking taylor expansion of alpha in alpha
7.278 * [backup-simplify]: Simplify 0 into 0
7.278 * [backup-simplify]: Simplify 1 into 1
7.279 * [backup-simplify]: Simplify (/ 1 1) into 1
7.279 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in alpha
7.279 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
7.279 * [taylor]: Taking taylor expansion of 2.0 in alpha
7.279 * [backup-simplify]: Simplify 2.0 into 2.0
7.279 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
7.279 * [taylor]: Taking taylor expansion of i in alpha
7.279 * [backup-simplify]: Simplify i into i
7.279 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
7.279 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
7.279 * [taylor]: Taking taylor expansion of beta in alpha
7.279 * [backup-simplify]: Simplify beta into beta
7.279 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
7.280 * [backup-simplify]: Simplify (+ 1 0) into 1
7.280 * [backup-simplify]: Simplify (- 1) into -1
7.280 * [backup-simplify]: Simplify (+ 0 -1) into -1
7.281 * [backup-simplify]: Simplify (* 1 -1) into -1
7.281 * [backup-simplify]: Simplify (+ 1 0) into 1
7.282 * [backup-simplify]: Simplify (+ 1 0) into 1
7.282 * [backup-simplify]: Simplify (* 1 1) into 1
7.283 * [backup-simplify]: Simplify (/ -1 1) into -1
7.283 * [taylor]: Taking taylor expansion of -1 in beta
7.283 * [backup-simplify]: Simplify -1 into -1
7.283 * [taylor]: Taking taylor expansion of -1 in i
7.283 * [backup-simplify]: Simplify -1 into -1
7.283 * [backup-simplify]: Simplify 0 into 0
7.283 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.284 * [backup-simplify]: Simplify (- 0) into 0
7.284 * [backup-simplify]: Simplify (+ (/ 1 beta) 0) into (/ 1 beta)
7.284 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.284 * [backup-simplify]: Simplify (+ 0 (/ 1 beta)) into (/ 1 beta)
7.284 * [backup-simplify]: Simplify (+ (* 1 (/ 1 beta)) (* (/ 1 beta) -1)) into 0
7.285 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.285 * [backup-simplify]: Simplify (* 2.0 (/ 1 i)) into (/ 2.0 i)
7.285 * [backup-simplify]: Simplify (+ (/ 2.0 i) (/ 1 beta)) into (+ (* 2.0 (/ 1 i)) (/ 1 beta))
7.285 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 (/ 1 i)) (/ 1 beta))) into (+ (* 2.0 (/ 1 i)) (/ 1 beta))
7.286 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.286 * [backup-simplify]: Simplify (* 2.0 (/ 1 i)) into (/ 2.0 i)
7.286 * [backup-simplify]: Simplify (+ (/ 1 beta) 2.0) into (+ (/ 1 beta) 2.0)
7.286 * [backup-simplify]: Simplify (+ (/ 2.0 i) (+ (/ 1 beta) 2.0)) into (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))
7.286 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) into (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))
7.286 * [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))
7.287 * [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))
7.287 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 i)) (+ (* 2 (/ 1 beta)) 2.0)) in beta
7.287 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 i)) in beta
7.287 * [taylor]: Taking taylor expansion of 4.0 in beta
7.287 * [backup-simplify]: Simplify 4.0 into 4.0
7.287 * [taylor]: Taking taylor expansion of (/ 1 i) in beta
7.287 * [taylor]: Taking taylor expansion of i in beta
7.287 * [backup-simplify]: Simplify i into i
7.287 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
7.287 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 beta)) 2.0) in beta
7.287 * [taylor]: Taking taylor expansion of (* 2 (/ 1 beta)) in beta
7.287 * [taylor]: Taking taylor expansion of 2 in beta
7.287 * [backup-simplify]: Simplify 2 into 2
7.287 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
7.287 * [taylor]: Taking taylor expansion of beta in beta
7.287 * [backup-simplify]: Simplify 0 into 0
7.287 * [backup-simplify]: Simplify 1 into 1
7.287 * [backup-simplify]: Simplify (/ 1 1) into 1
7.287 * [taylor]: Taking taylor expansion of 2.0 in beta
7.287 * [backup-simplify]: Simplify 2.0 into 2.0
7.287 * [backup-simplify]: Simplify (* 4.0 (/ 1 i)) into (/ 4.0 i)
7.288 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.288 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0
7.288 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
7.289 * [backup-simplify]: Simplify (+ (/ 4.0 i) 2.0) into (+ (* 4.0 (/ 1 i)) 2.0)
7.289 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 i)) 2.0) in i
7.289 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 i)) in i
7.289 * [taylor]: Taking taylor expansion of 4.0 in i
7.289 * [backup-simplify]: Simplify 4.0 into 4.0
7.289 * [taylor]: Taking taylor expansion of (/ 1 i) in i
7.289 * [taylor]: Taking taylor expansion of i in i
7.289 * [backup-simplify]: Simplify 0 into 0
7.289 * [backup-simplify]: Simplify 1 into 1
7.289 * [backup-simplify]: Simplify (/ 1 1) into 1
7.289 * [taylor]: Taking taylor expansion of 2.0 in i
7.289 * [backup-simplify]: Simplify 2.0 into 2.0
7.289 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.290 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.290 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.291 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.291 * [backup-simplify]: Simplify (+ 0 0) into 0
7.291 * [backup-simplify]: Simplify 0 into 0
7.291 * [taylor]: Taking taylor expansion of 0 in i
7.291 * [backup-simplify]: Simplify 0 into 0
7.291 * [backup-simplify]: Simplify 0 into 0
7.291 * [backup-simplify]: Simplify 0 into 0
7.291 * [backup-simplify]: Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
7.292 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.292 * [backup-simplify]: Simplify (- 0) into 0
7.292 * [backup-simplify]: Simplify (+ 0 0) into 0
7.293 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.293 * [backup-simplify]: Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
7.293 * [backup-simplify]: Simplify (+ 0 0) into 0
7.294 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 beta) (/ 1 beta)) (* 0 -1))) into (/ 1 (pow beta 2))
7.294 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.295 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
7.295 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 (/ 1 i))) into 0
7.295 * [backup-simplify]: Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
7.295 * [backup-simplify]: Simplify (+ 0 0) into 0
7.295 * [backup-simplify]: Simplify (+ 0 0) into 0
7.296 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.296 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
7.297 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 (/ 1 i))) into 0
7.297 * [backup-simplify]: Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
7.297 * [backup-simplify]: Simplify (+ 0 0) into 0
7.297 * [backup-simplify]: Simplify (+ 0 0) into 0
7.298 * [backup-simplify]: Simplify (+ 0 0) into 0
7.299 * [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))))))
7.301 * [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))))))
7.302 * [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
7.302 * [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
7.302 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow beta 2))) in beta
7.302 * [taylor]: Taking taylor expansion of 2 in beta
7.302 * [backup-simplify]: Simplify 2 into 2
7.302 * [taylor]: Taking taylor expansion of (/ 1 (pow beta 2)) in beta
7.302 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
7.302 * [taylor]: Taking taylor expansion of beta in beta
7.302 * [backup-simplify]: Simplify 0 into 0
7.302 * [backup-simplify]: Simplify 1 into 1
7.302 * [backup-simplify]: Simplify (* 1 1) into 1
7.303 * [backup-simplify]: Simplify (/ 1 1) into 1
7.303 * [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
7.303 * [taylor]: Taking taylor expansion of (* 12.0 (/ 1 (* i beta))) in beta
7.303 * [taylor]: Taking taylor expansion of 12.0 in beta
7.303 * [backup-simplify]: Simplify 12.0 into 12.0
7.303 * [taylor]: Taking taylor expansion of (/ 1 (* i beta)) in beta
7.303 * [taylor]: Taking taylor expansion of (* i beta) in beta
7.303 * [taylor]: Taking taylor expansion of i in beta
7.303 * [backup-simplify]: Simplify i into i
7.303 * [taylor]: Taking taylor expansion of beta in beta
7.303 * [backup-simplify]: Simplify 0 into 0
7.303 * [backup-simplify]: Simplify 1 into 1
7.303 * [backup-simplify]: Simplify (* i 0) into 0
7.303 * [backup-simplify]: Simplify (+ (* i 1) (* 0 0)) into i
7.304 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
7.304 * [taylor]: Taking taylor expansion of (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 12.0 (/ 1 i)) (+ (* 6.0 (/ 1 beta)) 4.0))) in beta
7.304 * [taylor]: Taking taylor expansion of (* 12.0 (/ 1 (pow i 2))) in beta
7.304 * [taylor]: Taking taylor expansion of 12.0 in beta
7.304 * [backup-simplify]: Simplify 12.0 into 12.0
7.304 * [taylor]: Taking taylor expansion of (/ 1 (pow i 2)) in beta
7.304 * [taylor]: Taking taylor expansion of (pow i 2) in beta
7.304 * [taylor]: Taking taylor expansion of i in beta
7.304 * [backup-simplify]: Simplify i into i
7.304 * [backup-simplify]: Simplify (* i i) into (pow i 2)
7.304 * [backup-simplify]: Simplify (/ 1 (pow i 2)) into (/ 1 (pow i 2))
7.304 * [taylor]: Taking taylor expansion of (+ (* 12.0 (/ 1 i)) (+ (* 6.0 (/ 1 beta)) 4.0)) in beta
7.304 * [taylor]: Taking taylor expansion of (* 12.0 (/ 1 i)) in beta
7.304 * [taylor]: Taking taylor expansion of 12.0 in beta
7.304 * [backup-simplify]: Simplify 12.0 into 12.0
7.304 * [taylor]: Taking taylor expansion of (/ 1 i) in beta
7.304 * [taylor]: Taking taylor expansion of i in beta
7.304 * [backup-simplify]: Simplify i into i
7.304 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
7.304 * [taylor]: Taking taylor expansion of (+ (* 6.0 (/ 1 beta)) 4.0) in beta
7.304 * [taylor]: Taking taylor expansion of (* 6.0 (/ 1 beta)) in beta
7.304 * [taylor]: Taking taylor expansion of 6.0 in beta
7.304 * [backup-simplify]: Simplify 6.0 into 6.0
7.304 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
7.304 * [taylor]: Taking taylor expansion of beta in beta
7.304 * [backup-simplify]: Simplify 0 into 0
7.304 * [backup-simplify]: Simplify 1 into 1
7.305 * [backup-simplify]: Simplify (/ 1 1) into 1
7.305 * [taylor]: Taking taylor expansion of 4.0 in beta
7.305 * [backup-simplify]: Simplify 4.0 into 4.0
7.306 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.306 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.307 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.308 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.309 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0
7.309 * [backup-simplify]: Simplify (+ (* i 0) (+ (* 0 1) (* 0 0))) into 0
7.310 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
7.310 * [backup-simplify]: Simplify (+ (* 12.0 0) (* 0 (/ 1 i))) into 0
7.310 * [backup-simplify]: Simplify (* 12.0 (/ 1 (pow i 2))) into (/ 12.0 (pow i 2))
7.310 * [backup-simplify]: Simplify (* 12.0 (/ 1 i)) into (/ 12.0 i)
7.311 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.312 * [backup-simplify]: Simplify (+ (* 6.0 0) (* 0 1)) into 0
7.312 * [backup-simplify]: Simplify (+ 0 4.0) into 4.0
7.312 * [backup-simplify]: Simplify (+ (/ 12.0 i) 4.0) into (+ (* 12.0 (/ 1 i)) 4.0)
7.313 * [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))
7.313 * [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))
7.313 * [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))
7.314 * [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)))
7.314 * [taylor]: Taking taylor expansion of (- (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 12.0 (/ 1 i)) 4.0))) in i
7.314 * [taylor]: Taking taylor expansion of (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 12.0 (/ 1 i)) 4.0)) in i
7.314 * [taylor]: Taking taylor expansion of (* 12.0 (/ 1 (pow i 2))) in i
7.314 * [taylor]: Taking taylor expansion of 12.0 in i
7.314 * [backup-simplify]: Simplify 12.0 into 12.0
7.314 * [taylor]: Taking taylor expansion of (/ 1 (pow i 2)) in i
7.314 * [taylor]: Taking taylor expansion of (pow i 2) in i
7.314 * [taylor]: Taking taylor expansion of i in i
7.314 * [backup-simplify]: Simplify 0 into 0
7.314 * [backup-simplify]: Simplify 1 into 1
7.314 * [backup-simplify]: Simplify (* 1 1) into 1
7.315 * [backup-simplify]: Simplify (/ 1 1) into 1
7.315 * [taylor]: Taking taylor expansion of (+ (* 12.0 (/ 1 i)) 4.0) in i
7.315 * [taylor]: Taking taylor expansion of (* 12.0 (/ 1 i)) in i
7.315 * [taylor]: Taking taylor expansion of 12.0 in i
7.315 * [backup-simplify]: Simplify 12.0 into 12.0
7.315 * [taylor]: Taking taylor expansion of (/ 1 i) in i
7.315 * [taylor]: Taking taylor expansion of i in i
7.315 * [backup-simplify]: Simplify 0 into 0
7.315 * [backup-simplify]: Simplify 1 into 1
7.315 * [backup-simplify]: Simplify (/ 1 1) into 1
7.315 * [taylor]: Taking taylor expansion of 4.0 in i
7.316 * [backup-simplify]: Simplify 4.0 into 4.0
7.317 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
7.317 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.318 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.319 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.320 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.320 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.321 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.322 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.324 * [backup-simplify]: Simplify (+ (* 12.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
7.324 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.325 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.326 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.327 * [backup-simplify]: Simplify (+ (* 12.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.327 * [backup-simplify]: Simplify (+ 0 0) into 0
7.328 * [backup-simplify]: Simplify (+ 0 0) into 0
7.328 * [backup-simplify]: Simplify (- 0) into 0
7.328 * [backup-simplify]: Simplify 0 into 0
7.328 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
7.329 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 i))) into 0
7.330 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.330 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0
7.331 * [backup-simplify]: Simplify (+ 0 0) into 0
7.331 * [backup-simplify]: Simplify (+ 0 0) into 0
7.331 * [taylor]: Taking taylor expansion of 0 in i
7.331 * [backup-simplify]: Simplify 0 into 0
7.331 * [backup-simplify]: Simplify 0 into 0
7.331 * [backup-simplify]: Simplify 0 into 0
7.332 * [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)))))
7.332 * [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
7.332 * [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
7.333 * [taylor]: Taking taylor expansion of (* (- (/ 1 alpha) (/ 1 beta)) (+ (/ 1 alpha) (/ 1 beta))) in i
7.333 * [taylor]: Taking taylor expansion of (- (/ 1 alpha) (/ 1 beta)) in i
7.333 * [taylor]: Taking taylor expansion of (/ 1 alpha) in i
7.333 * [taylor]: Taking taylor expansion of alpha in i
7.333 * [backup-simplify]: Simplify alpha into alpha
7.333 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
7.333 * [taylor]: Taking taylor expansion of (/ 1 beta) in i
7.333 * [taylor]: Taking taylor expansion of beta in i
7.333 * [backup-simplify]: Simplify beta into beta
7.333 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
7.333 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (/ 1 beta)) in i
7.333 * [taylor]: Taking taylor expansion of (/ 1 alpha) in i
7.333 * [taylor]: Taking taylor expansion of alpha in i
7.333 * [backup-simplify]: Simplify alpha into alpha
7.333 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
7.333 * [taylor]: Taking taylor expansion of (/ 1 beta) in i
7.333 * [taylor]: Taking taylor expansion of beta in i
7.333 * [backup-simplify]: Simplify beta into beta
7.333 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
7.333 * [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
7.333 * [taylor]: Taking taylor expansion of (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) in i
7.333 * [taylor]: Taking taylor expansion of 2.0 in i
7.333 * [backup-simplify]: Simplify 2.0 into 2.0
7.333 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in i
7.333 * [taylor]: Taking taylor expansion of (/ 1 alpha) in i
7.333 * [taylor]: Taking taylor expansion of alpha in i
7.333 * [backup-simplify]: Simplify alpha into alpha
7.333 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
7.334 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in i
7.334 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in i
7.334 * [taylor]: Taking taylor expansion of 2.0 in i
7.334 * [backup-simplify]: Simplify 2.0 into 2.0
7.334 * [taylor]: Taking taylor expansion of (/ 1 i) in i
7.334 * [taylor]: Taking taylor expansion of i in i
7.334 * [backup-simplify]: Simplify 0 into 0
7.334 * [backup-simplify]: Simplify 1 into 1
7.334 * [backup-simplify]: Simplify (/ 1 1) into 1
7.334 * [taylor]: Taking taylor expansion of (/ 1 beta) in i
7.334 * [taylor]: Taking taylor expansion of beta in i
7.334 * [backup-simplify]: Simplify beta into beta
7.334 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
7.334 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in i
7.334 * [taylor]: Taking taylor expansion of (/ 1 alpha) in i
7.334 * [taylor]: Taking taylor expansion of alpha in i
7.334 * [backup-simplify]: Simplify alpha into alpha
7.334 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
7.335 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in i
7.335 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in i
7.335 * [taylor]: Taking taylor expansion of 2.0 in i
7.335 * [backup-simplify]: Simplify 2.0 into 2.0
7.335 * [taylor]: Taking taylor expansion of (/ 1 i) in i
7.335 * [taylor]: Taking taylor expansion of i in i
7.335 * [backup-simplify]: Simplify 0 into 0
7.335 * [backup-simplify]: Simplify 1 into 1
7.335 * [backup-simplify]: Simplify (/ 1 1) into 1
7.335 * [taylor]: Taking taylor expansion of (/ 1 beta) in i
7.335 * [taylor]: Taking taylor expansion of beta in i
7.335 * [backup-simplify]: Simplify beta into beta
7.335 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
7.335 * [backup-simplify]: Simplify (- (/ 1 beta)) into (- (/ 1 beta))
7.335 * [backup-simplify]: Simplify (+ (/ 1 alpha) (- (/ 1 beta))) into (- (/ 1 alpha) (/ 1 beta))
7.336 * [backup-simplify]: Simplify (+ (/ 1 alpha) (/ 1 beta)) into (+ (/ 1 alpha) (/ 1 beta))
7.336 * [backup-simplify]: Simplify (* (- (/ 1 alpha) (/ 1 beta)) (+ (/ 1 alpha) (/ 1 beta))) into (* (- (/ 1 alpha) (/ 1 beta)) (+ (/ 1 alpha) (/ 1 beta)))
7.336 * [backup-simplify]: Simplify (* 2.0 1) into 2.0
7.337 * [backup-simplify]: Simplify (+ 2.0 0) into 2.0
7.337 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
7.337 * [backup-simplify]: Simplify (- 2.0) into (- 2.0)
7.338 * [backup-simplify]: Simplify (+ 0 (- 2.0)) into (- 2.0)
7.339 * [backup-simplify]: Simplify (* 2.0 1) into 2.0
7.339 * [backup-simplify]: Simplify (+ 2.0 0) into 2.0
7.340 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
7.340 * [backup-simplify]: Simplify (* (- 2.0) 2.0) into -4.0
7.341 * [backup-simplify]: Simplify (/ (* (- (/ 1 alpha) (/ 1 beta)) (+ (/ 1 alpha) (/ 1 beta))) -4.0) into (* -0.25 (* (- (/ 1 alpha) (/ 1 beta)) (+ (/ 1 alpha) (/ 1 beta))))
7.341 * [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
7.341 * [taylor]: Taking taylor expansion of (* (- (/ 1 alpha) (/ 1 beta)) (+ (/ 1 alpha) (/ 1 beta))) in beta
7.341 * [taylor]: Taking taylor expansion of (- (/ 1 alpha) (/ 1 beta)) in beta
7.341 * [taylor]: Taking taylor expansion of (/ 1 alpha) in beta
7.341 * [taylor]: Taking taylor expansion of alpha in beta
7.341 * [backup-simplify]: Simplify alpha into alpha
7.341 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
7.341 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
7.341 * [taylor]: Taking taylor expansion of beta in beta
7.341 * [backup-simplify]: Simplify 0 into 0
7.341 * [backup-simplify]: Simplify 1 into 1
7.341 * [backup-simplify]: Simplify (/ 1 1) into 1
7.341 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (/ 1 beta)) in beta
7.341 * [taylor]: Taking taylor expansion of (/ 1 alpha) in beta
7.341 * [taylor]: Taking taylor expansion of alpha in beta
7.341 * [backup-simplify]: Simplify alpha into alpha
7.342 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
7.342 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
7.342 * [taylor]: Taking taylor expansion of beta in beta
7.342 * [backup-simplify]: Simplify 0 into 0
7.342 * [backup-simplify]: Simplify 1 into 1
7.342 * [backup-simplify]: Simplify (/ 1 1) into 1
7.342 * [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
7.342 * [taylor]: Taking taylor expansion of (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) in beta
7.342 * [taylor]: Taking taylor expansion of 2.0 in beta
7.342 * [backup-simplify]: Simplify 2.0 into 2.0
7.342 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in beta
7.342 * [taylor]: Taking taylor expansion of (/ 1 alpha) in beta
7.342 * [taylor]: Taking taylor expansion of alpha in beta
7.342 * [backup-simplify]: Simplify alpha into alpha
7.342 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
7.342 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in beta
7.342 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in beta
7.342 * [taylor]: Taking taylor expansion of 2.0 in beta
7.343 * [backup-simplify]: Simplify 2.0 into 2.0
7.343 * [taylor]: Taking taylor expansion of (/ 1 i) in beta
7.343 * [taylor]: Taking taylor expansion of i in beta
7.343 * [backup-simplify]: Simplify i into i
7.343 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
7.343 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
7.343 * [taylor]: Taking taylor expansion of beta in beta
7.343 * [backup-simplify]: Simplify 0 into 0
7.343 * [backup-simplify]: Simplify 1 into 1
7.343 * [backup-simplify]: Simplify (/ 1 1) into 1
7.343 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in beta
7.343 * [taylor]: Taking taylor expansion of (/ 1 alpha) in beta
7.343 * [taylor]: Taking taylor expansion of alpha in beta
7.343 * [backup-simplify]: Simplify alpha into alpha
7.343 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
7.343 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in beta
7.343 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in beta
7.343 * [taylor]: Taking taylor expansion of 2.0 in beta
7.343 * [backup-simplify]: Simplify 2.0 into 2.0
7.343 * [taylor]: Taking taylor expansion of (/ 1 i) in beta
7.343 * [taylor]: Taking taylor expansion of i in beta
7.344 * [backup-simplify]: Simplify i into i
7.344 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
7.344 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
7.344 * [taylor]: Taking taylor expansion of beta in beta
7.344 * [backup-simplify]: Simplify 0 into 0
7.344 * [backup-simplify]: Simplify 1 into 1
7.344 * [backup-simplify]: Simplify (/ 1 1) into 1
7.345 * [backup-simplify]: Simplify (- 1) into -1
7.345 * [backup-simplify]: Simplify (+ 0 -1) into -1
7.346 * [backup-simplify]: Simplify (+ 0 1) into 1
7.346 * [backup-simplify]: Simplify (* -1 1) into -1
7.347 * [backup-simplify]: Simplify (+ 0 1) into 1
7.347 * [backup-simplify]: Simplify (+ 0 1) into 1
7.347 * [backup-simplify]: Simplify (- 1) into -1
7.348 * [backup-simplify]: Simplify (+ 0 -1) into -1
7.348 * [backup-simplify]: Simplify (+ 0 1) into 1
7.348 * [backup-simplify]: Simplify (+ 0 1) into 1
7.349 * [backup-simplify]: Simplify (* -1 1) into -1
7.349 * [backup-simplify]: Simplify (/ -1 -1) into 1
7.349 * [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
7.349 * [taylor]: Taking taylor expansion of (* (- (/ 1 alpha) (/ 1 beta)) (+ (/ 1 alpha) (/ 1 beta))) in alpha
7.349 * [taylor]: Taking taylor expansion of (- (/ 1 alpha) (/ 1 beta)) in alpha
7.349 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
7.349 * [taylor]: Taking taylor expansion of alpha in alpha
7.349 * [backup-simplify]: Simplify 0 into 0
7.349 * [backup-simplify]: Simplify 1 into 1
7.355 * [backup-simplify]: Simplify (/ 1 1) into 1
7.355 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
7.356 * [taylor]: Taking taylor expansion of beta in alpha
7.356 * [backup-simplify]: Simplify beta into beta
7.356 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
7.356 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (/ 1 beta)) in alpha
7.356 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
7.356 * [taylor]: Taking taylor expansion of alpha in alpha
7.356 * [backup-simplify]: Simplify 0 into 0
7.356 * [backup-simplify]: Simplify 1 into 1
7.356 * [backup-simplify]: Simplify (/ 1 1) into 1
7.356 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
7.357 * [taylor]: Taking taylor expansion of beta in alpha
7.357 * [backup-simplify]: Simplify beta into beta
7.357 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
7.357 * [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
7.357 * [taylor]: Taking taylor expansion of (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) in alpha
7.357 * [taylor]: Taking taylor expansion of 2.0 in alpha
7.357 * [backup-simplify]: Simplify 2.0 into 2.0
7.357 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in alpha
7.357 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
7.357 * [taylor]: Taking taylor expansion of alpha in alpha
7.357 * [backup-simplify]: Simplify 0 into 0
7.357 * [backup-simplify]: Simplify 1 into 1
7.357 * [backup-simplify]: Simplify (/ 1 1) into 1
7.357 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in alpha
7.357 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
7.357 * [taylor]: Taking taylor expansion of 2.0 in alpha
7.357 * [backup-simplify]: Simplify 2.0 into 2.0
7.357 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
7.358 * [taylor]: Taking taylor expansion of i in alpha
7.358 * [backup-simplify]: Simplify i into i
7.358 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
7.358 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
7.358 * [taylor]: Taking taylor expansion of beta in alpha
7.358 * [backup-simplify]: Simplify beta into beta
7.358 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
7.358 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in alpha
7.358 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
7.358 * [taylor]: Taking taylor expansion of alpha in alpha
7.358 * [backup-simplify]: Simplify 0 into 0
7.358 * [backup-simplify]: Simplify 1 into 1
7.358 * [backup-simplify]: Simplify (/ 1 1) into 1
7.358 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in alpha
7.358 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
7.358 * [taylor]: Taking taylor expansion of 2.0 in alpha
7.358 * [backup-simplify]: Simplify 2.0 into 2.0
7.358 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
7.358 * [taylor]: Taking taylor expansion of i in alpha
7.358 * [backup-simplify]: Simplify i into i
7.359 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
7.359 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
7.359 * [taylor]: Taking taylor expansion of beta in alpha
7.359 * [backup-simplify]: Simplify beta into beta
7.359 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
7.359 * [backup-simplify]: Simplify (+ 1 0) into 1
7.360 * [backup-simplify]: Simplify (+ 1 0) into 1
7.360 * [backup-simplify]: Simplify (* 1 1) into 1
7.360 * [backup-simplify]: Simplify (+ 1 0) into 1
7.361 * [backup-simplify]: Simplify (- 1) into -1
7.361 * [backup-simplify]: Simplify (+ 0 -1) into -1
7.361 * [backup-simplify]: Simplify (+ 1 0) into 1
7.362 * [backup-simplify]: Simplify (* -1 1) into -1
7.362 * [backup-simplify]: Simplify (/ 1 -1) into -1
7.362 * [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
7.362 * [taylor]: Taking taylor expansion of (* (- (/ 1 alpha) (/ 1 beta)) (+ (/ 1 alpha) (/ 1 beta))) in alpha
7.362 * [taylor]: Taking taylor expansion of (- (/ 1 alpha) (/ 1 beta)) in alpha
7.362 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
7.362 * [taylor]: Taking taylor expansion of alpha in alpha
7.362 * [backup-simplify]: Simplify 0 into 0
7.362 * [backup-simplify]: Simplify 1 into 1
7.363 * [backup-simplify]: Simplify (/ 1 1) into 1
7.363 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
7.363 * [taylor]: Taking taylor expansion of beta in alpha
7.363 * [backup-simplify]: Simplify beta into beta
7.363 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
7.363 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (/ 1 beta)) in alpha
7.363 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
7.363 * [taylor]: Taking taylor expansion of alpha in alpha
7.363 * [backup-simplify]: Simplify 0 into 0
7.363 * [backup-simplify]: Simplify 1 into 1
7.363 * [backup-simplify]: Simplify (/ 1 1) into 1
7.364 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
7.364 * [taylor]: Taking taylor expansion of beta in alpha
7.364 * [backup-simplify]: Simplify beta into beta
7.364 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
7.364 * [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
7.364 * [taylor]: Taking taylor expansion of (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) in alpha
7.364 * [taylor]: Taking taylor expansion of 2.0 in alpha
7.364 * [backup-simplify]: Simplify 2.0 into 2.0
7.364 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in alpha
7.364 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
7.364 * [taylor]: Taking taylor expansion of alpha in alpha
7.364 * [backup-simplify]: Simplify 0 into 0
7.364 * [backup-simplify]: Simplify 1 into 1
7.364 * [backup-simplify]: Simplify (/ 1 1) into 1
7.364 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in alpha
7.364 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
7.364 * [taylor]: Taking taylor expansion of 2.0 in alpha
7.364 * [backup-simplify]: Simplify 2.0 into 2.0
7.364 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
7.364 * [taylor]: Taking taylor expansion of i in alpha
7.364 * [backup-simplify]: Simplify i into i
7.365 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
7.365 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
7.365 * [taylor]: Taking taylor expansion of beta in alpha
7.365 * [backup-simplify]: Simplify beta into beta
7.365 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
7.365 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in alpha
7.365 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
7.365 * [taylor]: Taking taylor expansion of alpha in alpha
7.365 * [backup-simplify]: Simplify 0 into 0
7.365 * [backup-simplify]: Simplify 1 into 1
7.365 * [backup-simplify]: Simplify (/ 1 1) into 1
7.365 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in alpha
7.365 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
7.365 * [taylor]: Taking taylor expansion of 2.0 in alpha
7.365 * [backup-simplify]: Simplify 2.0 into 2.0
7.365 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
7.365 * [taylor]: Taking taylor expansion of i in alpha
7.365 * [backup-simplify]: Simplify i into i
7.365 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
7.365 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
7.365 * [taylor]: Taking taylor expansion of beta in alpha
7.366 * [backup-simplify]: Simplify beta into beta
7.366 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
7.366 * [backup-simplify]: Simplify (+ 1 0) into 1
7.366 * [backup-simplify]: Simplify (+ 1 0) into 1
7.367 * [backup-simplify]: Simplify (* 1 1) into 1
7.367 * [backup-simplify]: Simplify (+ 1 0) into 1
7.367 * [backup-simplify]: Simplify (- 1) into -1
7.368 * [backup-simplify]: Simplify (+ 0 -1) into -1
7.368 * [backup-simplify]: Simplify (+ 1 0) into 1
7.369 * [backup-simplify]: Simplify (* -1 1) into -1
7.369 * [backup-simplify]: Simplify (/ 1 -1) into -1
7.369 * [taylor]: Taking taylor expansion of -1 in beta
7.369 * [backup-simplify]: Simplify -1 into -1
7.369 * [taylor]: Taking taylor expansion of -1 in i
7.369 * [backup-simplify]: Simplify -1 into -1
7.369 * [backup-simplify]: Simplify 0 into 0
7.370 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.370 * [backup-simplify]: Simplify (+ 0 (/ 1 beta)) into (/ 1 beta)
7.371 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.371 * [backup-simplify]: Simplify (- (/ 1 beta)) into (- (/ 1 beta))
7.371 * [backup-simplify]: Simplify (+ 0 (- (/ 1 beta))) into (- (/ 1 beta))
7.371 * [backup-simplify]: Simplify (+ (* 1 (/ 1 beta)) (* (- (/ 1 beta)) 1)) into 0
7.372 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.372 * [backup-simplify]: Simplify (* 2.0 (/ 1 i)) into (/ 2.0 i)
7.372 * [backup-simplify]: Simplify (+ (/ 2.0 i) (/ 1 beta)) into (+ (* 2.0 (/ 1 i)) (/ 1 beta))
7.373 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 (/ 1 i)) (/ 1 beta))) into (+ (* 2.0 (/ 1 i)) (/ 1 beta))
7.374 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.374 * [backup-simplify]: Simplify (* 2.0 (/ 1 i)) into (/ 2.0 i)
7.374 * [backup-simplify]: Simplify (+ (/ 2.0 i) (/ 1 beta)) into (+ (* 2.0 (/ 1 i)) (/ 1 beta))
7.374 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 (/ 1 i)) (/ 1 beta))) into (+ (* 2.0 (/ 1 i)) (/ 1 beta))
7.374 * [backup-simplify]: Simplify (- (+ (* 2.0 (/ 1 i)) (/ 1 beta))) into (- (+ (* 2.0 (/ 1 i)) (/ 1 beta)))
7.374 * [backup-simplify]: Simplify (+ 2.0 (- (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) into (- 2.0 (+ (* 2.0 (/ 1 i)) (/ 1 beta)))
7.375 * [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))))
7.376 * [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)
7.376 * [taylor]: Taking taylor expansion of (- (+ (* 4.0 (/ 1 i)) (* 2 (/ 1 beta))) 2.0) in beta
7.376 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 i)) (* 2 (/ 1 beta))) in beta
7.376 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 i)) in beta
7.376 * [taylor]: Taking taylor expansion of 4.0 in beta
7.376 * [backup-simplify]: Simplify 4.0 into 4.0
7.376 * [taylor]: Taking taylor expansion of (/ 1 i) in beta
7.376 * [taylor]: Taking taylor expansion of i in beta
7.376 * [backup-simplify]: Simplify i into i
7.376 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
7.376 * [taylor]: Taking taylor expansion of (* 2 (/ 1 beta)) in beta
7.376 * [taylor]: Taking taylor expansion of 2 in beta
7.376 * [backup-simplify]: Simplify 2 into 2
7.376 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
7.376 * [taylor]: Taking taylor expansion of beta in beta
7.376 * [backup-simplify]: Simplify 0 into 0
7.376 * [backup-simplify]: Simplify 1 into 1
7.377 * [backup-simplify]: Simplify (/ 1 1) into 1
7.377 * [taylor]: Taking taylor expansion of 2.0 in beta
7.377 * [backup-simplify]: Simplify 2.0 into 2.0
7.377 * [backup-simplify]: Simplify (* 4.0 (/ 1 i)) into (/ 4.0 i)
7.378 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.378 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0
7.378 * [backup-simplify]: Simplify (+ (/ 4.0 i) 0) into (* 4.0 (/ 1 i))
7.379 * [backup-simplify]: Simplify (- 2.0) into (- 2.0)
7.379 * [backup-simplify]: Simplify (+ (* 4.0 (/ 1 i)) (- 2.0)) into (- (* 4.0 (/ 1 i)) 2.0)
7.379 * [taylor]: Taking taylor expansion of (- (* 4.0 (/ 1 i)) 2.0) in i
7.379 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 i)) in i
7.379 * [taylor]: Taking taylor expansion of 4.0 in i
7.379 * [backup-simplify]: Simplify 4.0 into 4.0
7.379 * [taylor]: Taking taylor expansion of (/ 1 i) in i
7.379 * [taylor]: Taking taylor expansion of i in i
7.379 * [backup-simplify]: Simplify 0 into 0
7.379 * [backup-simplify]: Simplify 1 into 1
7.380 * [backup-simplify]: Simplify (/ 1 1) into 1
7.380 * [taylor]: Taking taylor expansion of 2.0 in i
7.380 * [backup-simplify]: Simplify 2.0 into 2.0
7.381 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.381 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.382 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.383 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.384 * [backup-simplify]: Simplify (- 0) into 0
7.384 * [backup-simplify]: Simplify (+ 0 0) into 0
7.384 * [backup-simplify]: Simplify 0 into 0
7.384 * [taylor]: Taking taylor expansion of 0 in i
7.384 * [backup-simplify]: Simplify 0 into 0
7.384 * [backup-simplify]: Simplify 0 into 0
7.384 * [backup-simplify]: Simplify 0 into 0
7.385 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.385 * [backup-simplify]: Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
7.385 * [backup-simplify]: Simplify (+ 0 0) into 0
7.386 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.386 * [backup-simplify]: Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
7.387 * [backup-simplify]: Simplify (- 0) into 0
7.387 * [backup-simplify]: Simplify (+ 0 0) into 0
7.388 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- (/ 1 beta)) (/ 1 beta)) (* 0 1))) into (- (/ 1 (pow beta 2)))
7.389 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.389 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
7.390 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 (/ 1 i))) into 0
7.390 * [backup-simplify]: Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
7.390 * [backup-simplify]: Simplify (+ 0 0) into 0
7.390 * [backup-simplify]: Simplify (+ 0 0) into 0
7.391 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.391 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
7.392 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 (/ 1 i))) into 0
7.392 * [backup-simplify]: Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
7.392 * [backup-simplify]: Simplify (+ 0 0) into 0
7.393 * [backup-simplify]: Simplify (+ 0 0) into 0
7.393 * [backup-simplify]: Simplify (- 0) into 0
7.393 * [backup-simplify]: Simplify (+ 0 0) into 0
7.395 * [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)))))
7.397 * [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))))
7.397 * [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
7.397 * [taylor]: Taking taylor expansion of (+ (* 6.0 (/ 1 beta)) (* 12.0 (/ 1 i))) in beta
7.397 * [taylor]: Taking taylor expansion of (* 6.0 (/ 1 beta)) in beta
7.397 * [taylor]: Taking taylor expansion of 6.0 in beta
7.397 * [backup-simplify]: Simplify 6.0 into 6.0
7.397 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
7.397 * [taylor]: Taking taylor expansion of beta in beta
7.398 * [backup-simplify]: Simplify 0 into 0
7.398 * [backup-simplify]: Simplify 1 into 1
7.398 * [backup-simplify]: Simplify (/ 1 1) into 1
7.398 * [taylor]: Taking taylor expansion of (* 12.0 (/ 1 i)) in beta
7.398 * [taylor]: Taking taylor expansion of 12.0 in beta
7.398 * [backup-simplify]: Simplify 12.0 into 12.0
7.398 * [taylor]: Taking taylor expansion of (/ 1 i) in beta
7.398 * [taylor]: Taking taylor expansion of i in beta
7.398 * [backup-simplify]: Simplify i into i
7.398 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
7.398 * [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
7.398 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow beta 2))) in beta
7.398 * [taylor]: Taking taylor expansion of 2 in beta
7.398 * [backup-simplify]: Simplify 2 into 2
7.398 * [taylor]: Taking taylor expansion of (/ 1 (pow beta 2)) in beta
7.398 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
7.398 * [taylor]: Taking taylor expansion of beta in beta
7.398 * [backup-simplify]: Simplify 0 into 0
7.398 * [backup-simplify]: Simplify 1 into 1
7.399 * [backup-simplify]: Simplify (* 1 1) into 1
7.399 * [backup-simplify]: Simplify (/ 1 1) into 1
7.399 * [taylor]: Taking taylor expansion of (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 12.0 (/ 1 (* i beta))) 4.0)) in beta
7.399 * [taylor]: Taking taylor expansion of (* 12.0 (/ 1 (pow i 2))) in beta
7.399 * [taylor]: Taking taylor expansion of 12.0 in beta
7.399 * [backup-simplify]: Simplify 12.0 into 12.0
7.399 * [taylor]: Taking taylor expansion of (/ 1 (pow i 2)) in beta
7.399 * [taylor]: Taking taylor expansion of (pow i 2) in beta
7.399 * [taylor]: Taking taylor expansion of i in beta
7.399 * [backup-simplify]: Simplify i into i
7.400 * [backup-simplify]: Simplify (* i i) into (pow i 2)
7.400 * [backup-simplify]: Simplify (/ 1 (pow i 2)) into (/ 1 (pow i 2))
7.400 * [taylor]: Taking taylor expansion of (+ (* 12.0 (/ 1 (* i beta))) 4.0) in beta
7.400 * [taylor]: Taking taylor expansion of (* 12.0 (/ 1 (* i beta))) in beta
7.400 * [taylor]: Taking taylor expansion of 12.0 in beta
7.400 * [backup-simplify]: Simplify 12.0 into 12.0
7.400 * [taylor]: Taking taylor expansion of (/ 1 (* i beta)) in beta
7.400 * [taylor]: Taking taylor expansion of (* i beta) in beta
7.400 * [taylor]: Taking taylor expansion of i in beta
7.400 * [backup-simplify]: Simplify i into i
7.400 * [taylor]: Taking taylor expansion of beta in beta
7.400 * [backup-simplify]: Simplify 0 into 0
7.400 * [backup-simplify]: Simplify 1 into 1
7.400 * [backup-simplify]: Simplify (* i 0) into 0
7.400 * [backup-simplify]: Simplify (+ (* i 1) (* 0 0)) into i
7.401 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
7.401 * [taylor]: Taking taylor expansion of 4.0 in beta
7.401 * [backup-simplify]: Simplify 4.0 into 4.0
7.401 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.402 * [backup-simplify]: Simplify (+ (* 6.0 0) (* 0 1)) into 0
7.402 * [backup-simplify]: Simplify (* 12.0 (/ 1 i)) into (/ 12.0 i)
7.402 * [backup-simplify]: Simplify (+ 0 (/ 12.0 i)) into (* 12.0 (/ 1 i))
7.403 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.404 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.404 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.405 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.406 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0
7.406 * [backup-simplify]: Simplify (* 12.0 (/ 1 (pow i 2))) into (/ 12.0 (pow i 2))
7.407 * [backup-simplify]: Simplify (+ (* i 0) (+ (* 0 1) (* 0 0))) into 0
7.407 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
7.408 * [backup-simplify]: Simplify (+ (* 12.0 0) (* 0 (/ 1 i))) into 0
7.408 * [backup-simplify]: Simplify (+ 0 4.0) into 4.0
7.408 * [backup-simplify]: Simplify (+ (/ 12.0 (pow i 2)) 4.0) into (+ (* 12.0 (/ 1 (pow i 2))) 4.0)
7.409 * [backup-simplify]: Simplify (+ 0 (+ (* 12.0 (/ 1 (pow i 2))) 4.0)) into (+ (* 12.0 (/ 1 (pow i 2))) 4.0)
7.409 * [backup-simplify]: Simplify (- (+ (* 12.0 (/ 1 (pow i 2))) 4.0)) into (- (+ (* 12.0 (/ 1 (pow i 2))) 4.0))
7.409 * [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))
7.409 * [taylor]: Taking taylor expansion of (- (* 12.0 (/ 1 i)) (+ (* 12.0 (/ 1 (pow i 2))) 4.0)) in i
7.409 * [taylor]: Taking taylor expansion of (* 12.0 (/ 1 i)) in i
7.409 * [taylor]: Taking taylor expansion of 12.0 in i
7.409 * [backup-simplify]: Simplify 12.0 into 12.0
7.409 * [taylor]: Taking taylor expansion of (/ 1 i) in i
7.409 * [taylor]: Taking taylor expansion of i in i
7.409 * [backup-simplify]: Simplify 0 into 0
7.409 * [backup-simplify]: Simplify 1 into 1
7.410 * [backup-simplify]: Simplify (/ 1 1) into 1
7.410 * [taylor]: Taking taylor expansion of (+ (* 12.0 (/ 1 (pow i 2))) 4.0) in i
7.410 * [taylor]: Taking taylor expansion of (* 12.0 (/ 1 (pow i 2))) in i
7.410 * [taylor]: Taking taylor expansion of 12.0 in i
7.410 * [backup-simplify]: Simplify 12.0 into 12.0
7.410 * [taylor]: Taking taylor expansion of (/ 1 (pow i 2)) in i
7.410 * [taylor]: Taking taylor expansion of (pow i 2) in i
7.410 * [taylor]: Taking taylor expansion of i in i
7.410 * [backup-simplify]: Simplify 0 into 0
7.410 * [backup-simplify]: Simplify 1 into 1
7.410 * [backup-simplify]: Simplify (* 1 1) into 1
7.411 * [backup-simplify]: Simplify (/ 1 1) into 1
7.411 * [taylor]: Taking taylor expansion of 4.0 in i
7.411 * [backup-simplify]: Simplify 4.0 into 4.0
7.412 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.412 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.413 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.414 * [backup-simplify]: Simplify (+ (* 12.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.416 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
7.416 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.417 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.418 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.419 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.420 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.420 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.421 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.422 * [backup-simplify]: Simplify (+ (* 12.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
7.423 * [backup-simplify]: Simplify (+ 0 0) into 0
7.423 * [backup-simplify]: Simplify (- 0) into 0
7.423 * [backup-simplify]: Simplify (+ 0 0) into 0
7.424 * [backup-simplify]: Simplify 0 into 0
7.424 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
7.424 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 i))) into 0
7.425 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.426 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0
7.426 * [backup-simplify]: Simplify (+ 0 0) into 0
7.427 * [backup-simplify]: Simplify (- 0) into 0
7.427 * [backup-simplify]: Simplify (+ 0 0) into 0
7.427 * [taylor]: Taking taylor expansion of 0 in i
7.427 * [backup-simplify]: Simplify 0 into 0
7.427 * [backup-simplify]: Simplify 0 into 0
7.427 * [backup-simplify]: Simplify 0 into 0
7.427 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 1)
7.428 * [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))))))
7.428 * [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
7.428 * [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
7.428 * [taylor]: Taking taylor expansion of (+ (/ (pow beta 2) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta))))) 1.0) in i
7.428 * [taylor]: Taking taylor expansion of (/ (pow beta 2) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta))))) in i
7.428 * [taylor]: Taking taylor expansion of (pow beta 2) in i
7.428 * [taylor]: Taking taylor expansion of beta in i
7.428 * [backup-simplify]: Simplify beta into beta
7.428 * [taylor]: Taking taylor expansion of (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta)))) in i
7.428 * [taylor]: Taking taylor expansion of (+ alpha (+ (* 2.0 i) beta)) in i
7.428 * [taylor]: Taking taylor expansion of alpha in i
7.428 * [backup-simplify]: Simplify alpha into alpha
7.428 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in i
7.428 * [taylor]: Taking taylor expansion of (* 2.0 i) in i
7.428 * [taylor]: Taking taylor expansion of 2.0 in i
7.428 * [backup-simplify]: Simplify 2.0 into 2.0
7.428 * [taylor]: Taking taylor expansion of i in i
7.428 * [backup-simplify]: Simplify 0 into 0
7.428 * [backup-simplify]: Simplify 1 into 1
7.428 * [taylor]: Taking taylor expansion of beta in i
7.428 * [backup-simplify]: Simplify beta into beta
7.428 * [taylor]: Taking taylor expansion of (+ alpha (+ 2.0 (+ (* 2.0 i) beta))) in i
7.429 * [taylor]: Taking taylor expansion of alpha in i
7.429 * [backup-simplify]: Simplify alpha into alpha
7.429 * [taylor]: Taking taylor expansion of (+ 2.0 (+ (* 2.0 i) beta)) in i
7.429 * [taylor]: Taking taylor expansion of 2.0 in i
7.429 * [backup-simplify]: Simplify 2.0 into 2.0
7.429 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in i
7.429 * [taylor]: Taking taylor expansion of (* 2.0 i) in i
7.429 * [taylor]: Taking taylor expansion of 2.0 in i
7.429 * [backup-simplify]: Simplify 2.0 into 2.0
7.429 * [taylor]: Taking taylor expansion of i in i
7.429 * [backup-simplify]: Simplify 0 into 0
7.429 * [backup-simplify]: Simplify 1 into 1
7.429 * [taylor]: Taking taylor expansion of beta in i
7.429 * [backup-simplify]: Simplify beta into beta
7.429 * [backup-simplify]: Simplify (* beta beta) into (pow beta 2)
7.429 * [backup-simplify]: Simplify (* 2.0 0) into 0
7.429 * [backup-simplify]: Simplify (+ 0 beta) into beta
7.429 * [backup-simplify]: Simplify (+ alpha beta) into (+ alpha beta)
7.430 * [backup-simplify]: Simplify (* 2.0 0) into 0
7.430 * [backup-simplify]: Simplify (+ 0 beta) into beta
7.430 * [backup-simplify]: Simplify (+ 2.0 beta) into (+ beta 2.0)
7.430 * [backup-simplify]: Simplify (+ alpha (+ beta 2.0)) into (+ alpha (+ beta 2.0))
7.430 * [backup-simplify]: Simplify (* (+ alpha beta) (+ alpha (+ beta 2.0))) into (* (+ alpha beta) (+ alpha (+ beta 2.0)))
7.430 * [backup-simplify]: Simplify (/ (pow beta 2) (* (+ alpha beta) (+ alpha (+ beta 2.0)))) into (/ (pow beta 2) (* (+ alpha beta) (+ alpha (+ beta 2.0))))
7.430 * [taylor]: Taking taylor expansion of 1.0 in i
7.430 * [backup-simplify]: Simplify 1.0 into 1.0
7.431 * [taylor]: Taking taylor expansion of (/ (pow alpha 2) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta))))) in i
7.431 * [taylor]: Taking taylor expansion of (pow alpha 2) in i
7.431 * [taylor]: Taking taylor expansion of alpha in i
7.431 * [backup-simplify]: Simplify alpha into alpha
7.431 * [taylor]: Taking taylor expansion of (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta)))) in i
7.431 * [taylor]: Taking taylor expansion of (+ alpha (+ (* 2.0 i) beta)) in i
7.431 * [taylor]: Taking taylor expansion of alpha in i
7.431 * [backup-simplify]: Simplify alpha into alpha
7.431 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in i
7.431 * [taylor]: Taking taylor expansion of (* 2.0 i) in i
7.431 * [taylor]: Taking taylor expansion of 2.0 in i
7.431 * [backup-simplify]: Simplify 2.0 into 2.0
7.431 * [taylor]: Taking taylor expansion of i in i
7.431 * [backup-simplify]: Simplify 0 into 0
7.431 * [backup-simplify]: Simplify 1 into 1
7.431 * [taylor]: Taking taylor expansion of beta in i
7.431 * [backup-simplify]: Simplify beta into beta
7.431 * [taylor]: Taking taylor expansion of (+ alpha (+ 2.0 (+ (* 2.0 i) beta))) in i
7.431 * [taylor]: Taking taylor expansion of alpha in i
7.431 * [backup-simplify]: Simplify alpha into alpha
7.431 * [taylor]: Taking taylor expansion of (+ 2.0 (+ (* 2.0 i) beta)) in i
7.431 * [taylor]: Taking taylor expansion of 2.0 in i
7.431 * [backup-simplify]: Simplify 2.0 into 2.0
7.431 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in i
7.431 * [taylor]: Taking taylor expansion of (* 2.0 i) in i
7.431 * [taylor]: Taking taylor expansion of 2.0 in i
7.431 * [backup-simplify]: Simplify 2.0 into 2.0
7.431 * [taylor]: Taking taylor expansion of i in i
7.431 * [backup-simplify]: Simplify 0 into 0
7.431 * [backup-simplify]: Simplify 1 into 1
7.431 * [taylor]: Taking taylor expansion of beta in i
7.431 * [backup-simplify]: Simplify beta into beta
7.431 * [backup-simplify]: Simplify (* alpha alpha) into (pow alpha 2)
7.432 * [backup-simplify]: Simplify (* 2.0 0) into 0
7.432 * [backup-simplify]: Simplify (+ 0 beta) into beta
7.432 * [backup-simplify]: Simplify (+ alpha beta) into (+ alpha beta)
7.432 * [backup-simplify]: Simplify (* 2.0 0) into 0
7.432 * [backup-simplify]: Simplify (+ 0 beta) into beta
7.432 * [backup-simplify]: Simplify (+ 2.0 beta) into (+ beta 2.0)
7.433 * [backup-simplify]: Simplify (+ alpha (+ beta 2.0)) into (+ alpha (+ beta 2.0))
7.433 * [backup-simplify]: Simplify (* (+ alpha beta) (+ alpha (+ beta 2.0))) into (* (+ alpha beta) (+ alpha (+ beta 2.0)))
7.433 * [backup-simplify]: Simplify (/ (pow alpha 2) (* (+ alpha beta) (+ alpha (+ beta 2.0)))) into (/ (pow alpha 2) (* (+ alpha beta) (+ alpha (+ beta 2.0))))
7.433 * [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
7.433 * [taylor]: Taking taylor expansion of (+ (/ (pow beta 2) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta))))) 1.0) in beta
7.433 * [taylor]: Taking taylor expansion of (/ (pow beta 2) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta))))) in beta
7.433 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
7.433 * [taylor]: Taking taylor expansion of beta in beta
7.433 * [backup-simplify]: Simplify 0 into 0
7.433 * [backup-simplify]: Simplify 1 into 1
7.433 * [taylor]: Taking taylor expansion of (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta)))) in beta
7.433 * [taylor]: Taking taylor expansion of (+ alpha (+ (* 2.0 i) beta)) in beta
7.434 * [taylor]: Taking taylor expansion of alpha in beta
7.434 * [backup-simplify]: Simplify alpha into alpha
7.434 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
7.434 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
7.434 * [taylor]: Taking taylor expansion of 2.0 in beta
7.434 * [backup-simplify]: Simplify 2.0 into 2.0
7.434 * [taylor]: Taking taylor expansion of i in beta
7.434 * [backup-simplify]: Simplify i into i
7.434 * [taylor]: Taking taylor expansion of beta in beta
7.434 * [backup-simplify]: Simplify 0 into 0
7.434 * [backup-simplify]: Simplify 1 into 1
7.434 * [taylor]: Taking taylor expansion of (+ alpha (+ 2.0 (+ (* 2.0 i) beta))) in beta
7.434 * [taylor]: Taking taylor expansion of alpha in beta
7.434 * [backup-simplify]: Simplify alpha into alpha
7.434 * [taylor]: Taking taylor expansion of (+ 2.0 (+ (* 2.0 i) beta)) in beta
7.434 * [taylor]: Taking taylor expansion of 2.0 in beta
7.434 * [backup-simplify]: Simplify 2.0 into 2.0
7.434 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
7.434 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
7.434 * [taylor]: Taking taylor expansion of 2.0 in beta
7.434 * [backup-simplify]: Simplify 2.0 into 2.0
7.434 * [taylor]: Taking taylor expansion of i in beta
7.434 * [backup-simplify]: Simplify i into i
7.434 * [taylor]: Taking taylor expansion of beta in beta
7.434 * [backup-simplify]: Simplify 0 into 0
7.434 * [backup-simplify]: Simplify 1 into 1
7.435 * [backup-simplify]: Simplify (* 1 1) into 1
7.435 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
7.435 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
7.435 * [backup-simplify]: Simplify (+ alpha (* 2.0 i)) into (+ alpha (* 2.0 i))
7.435 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
7.435 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
7.435 * [backup-simplify]: Simplify (+ 2.0 (* 2.0 i)) into (+ (* 2.0 i) 2.0)
7.435 * [backup-simplify]: Simplify (+ alpha (+ (* 2.0 i) 2.0)) into (+ alpha (+ (* 2.0 i) 2.0))
7.436 * [backup-simplify]: Simplify (* (+ alpha (* 2.0 i)) (+ alpha (+ (* 2.0 i) 2.0))) into (* (+ alpha (+ (* 2.0 i) 2.0)) (+ alpha (* 2.0 i)))
7.436 * [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))))
7.436 * [taylor]: Taking taylor expansion of 1.0 in beta
7.436 * [backup-simplify]: Simplify 1.0 into 1.0
7.436 * [taylor]: Taking taylor expansion of (/ (pow alpha 2) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta))))) in beta
7.436 * [taylor]: Taking taylor expansion of (pow alpha 2) in beta
7.436 * [taylor]: Taking taylor expansion of alpha in beta
7.436 * [backup-simplify]: Simplify alpha into alpha
7.436 * [taylor]: Taking taylor expansion of (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta)))) in beta
7.436 * [taylor]: Taking taylor expansion of (+ alpha (+ (* 2.0 i) beta)) in beta
7.436 * [taylor]: Taking taylor expansion of alpha in beta
7.436 * [backup-simplify]: Simplify alpha into alpha
7.436 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
7.436 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
7.436 * [taylor]: Taking taylor expansion of 2.0 in beta
7.436 * [backup-simplify]: Simplify 2.0 into 2.0
7.436 * [taylor]: Taking taylor expansion of i in beta
7.436 * [backup-simplify]: Simplify i into i
7.436 * [taylor]: Taking taylor expansion of beta in beta
7.436 * [backup-simplify]: Simplify 0 into 0
7.436 * [backup-simplify]: Simplify 1 into 1
7.436 * [taylor]: Taking taylor expansion of (+ alpha (+ 2.0 (+ (* 2.0 i) beta))) in beta
7.436 * [taylor]: Taking taylor expansion of alpha in beta
7.436 * [backup-simplify]: Simplify alpha into alpha
7.437 * [taylor]: Taking taylor expansion of (+ 2.0 (+ (* 2.0 i) beta)) in beta
7.437 * [taylor]: Taking taylor expansion of 2.0 in beta
7.437 * [backup-simplify]: Simplify 2.0 into 2.0
7.437 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
7.437 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
7.437 * [taylor]: Taking taylor expansion of 2.0 in beta
7.437 * [backup-simplify]: Simplify 2.0 into 2.0
7.437 * [taylor]: Taking taylor expansion of i in beta
7.437 * [backup-simplify]: Simplify i into i
7.437 * [taylor]: Taking taylor expansion of beta in beta
7.437 * [backup-simplify]: Simplify 0 into 0
7.437 * [backup-simplify]: Simplify 1 into 1
7.437 * [backup-simplify]: Simplify (* alpha alpha) into (pow alpha 2)
7.437 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
7.437 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
7.437 * [backup-simplify]: Simplify (+ alpha (* 2.0 i)) into (+ alpha (* 2.0 i))
7.437 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
7.437 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
7.437 * [backup-simplify]: Simplify (+ 2.0 (* 2.0 i)) into (+ (* 2.0 i) 2.0)
7.437 * [backup-simplify]: Simplify (+ alpha (+ (* 2.0 i) 2.0)) into (+ alpha (+ (* 2.0 i) 2.0))
7.438 * [backup-simplify]: Simplify (* (+ alpha (* 2.0 i)) (+ alpha (+ (* 2.0 i) 2.0))) into (* (+ alpha (+ (* 2.0 i) 2.0)) (+ alpha (* 2.0 i)))
7.438 * [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))))
7.438 * [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
7.438 * [taylor]: Taking taylor expansion of (+ (/ (pow beta 2) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta))))) 1.0) in alpha
7.438 * [taylor]: Taking taylor expansion of (/ (pow beta 2) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta))))) in alpha
7.438 * [taylor]: Taking taylor expansion of (pow beta 2) in alpha
7.438 * [taylor]: Taking taylor expansion of beta in alpha
7.438 * [backup-simplify]: Simplify beta into beta
7.438 * [taylor]: Taking taylor expansion of (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta)))) in alpha
7.438 * [taylor]: Taking taylor expansion of (+ alpha (+ (* 2.0 i) beta)) in alpha
7.438 * [taylor]: Taking taylor expansion of alpha in alpha
7.438 * [backup-simplify]: Simplify 0 into 0
7.438 * [backup-simplify]: Simplify 1 into 1
7.438 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in alpha
7.439 * [taylor]: Taking taylor expansion of (* 2.0 i) in alpha
7.439 * [taylor]: Taking taylor expansion of 2.0 in alpha
7.439 * [backup-simplify]: Simplify 2.0 into 2.0
7.439 * [taylor]: Taking taylor expansion of i in alpha
7.439 * [backup-simplify]: Simplify i into i
7.439 * [taylor]: Taking taylor expansion of beta in alpha
7.439 * [backup-simplify]: Simplify beta into beta
7.439 * [taylor]: Taking taylor expansion of (+ alpha (+ 2.0 (+ (* 2.0 i) beta))) in alpha
7.439 * [taylor]: Taking taylor expansion of alpha in alpha
7.439 * [backup-simplify]: Simplify 0 into 0
7.439 * [backup-simplify]: Simplify 1 into 1
7.439 * [taylor]: Taking taylor expansion of (+ 2.0 (+ (* 2.0 i) beta)) in alpha
7.439 * [taylor]: Taking taylor expansion of 2.0 in alpha
7.439 * [backup-simplify]: Simplify 2.0 into 2.0
7.439 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in alpha
7.439 * [taylor]: Taking taylor expansion of (* 2.0 i) in alpha
7.439 * [taylor]: Taking taylor expansion of 2.0 in alpha
7.439 * [backup-simplify]: Simplify 2.0 into 2.0
7.439 * [taylor]: Taking taylor expansion of i in alpha
7.439 * [backup-simplify]: Simplify i into i
7.439 * [taylor]: Taking taylor expansion of beta in alpha
7.439 * [backup-simplify]: Simplify beta into beta
7.439 * [backup-simplify]: Simplify (* beta beta) into (pow beta 2)
7.439 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
7.439 * [backup-simplify]: Simplify (+ (* 2.0 i) beta) into (+ (* 2.0 i) beta)
7.440 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 i) beta)) into (+ (* 2.0 i) beta)
7.440 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
7.440 * [backup-simplify]: Simplify (+ (* 2.0 i) beta) into (+ (* 2.0 i) beta)
7.440 * [backup-simplify]: Simplify (+ 2.0 (+ (* 2.0 i) beta)) into (+ (* 2.0 i) (+ beta 2.0))
7.440 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 i) (+ beta 2.0))) into (+ (* 2.0 i) (+ beta 2.0))
7.440 * [backup-simplify]: Simplify (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0))) into (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))
7.441 * [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))))
7.441 * [taylor]: Taking taylor expansion of 1.0 in alpha
7.441 * [backup-simplify]: Simplify 1.0 into 1.0
7.441 * [taylor]: Taking taylor expansion of (/ (pow alpha 2) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta))))) in alpha
7.441 * [taylor]: Taking taylor expansion of (pow alpha 2) in alpha
7.441 * [taylor]: Taking taylor expansion of alpha in alpha
7.441 * [backup-simplify]: Simplify 0 into 0
7.441 * [backup-simplify]: Simplify 1 into 1
7.441 * [taylor]: Taking taylor expansion of (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta)))) in alpha
7.441 * [taylor]: Taking taylor expansion of (+ alpha (+ (* 2.0 i) beta)) in alpha
7.441 * [taylor]: Taking taylor expansion of alpha in alpha
7.441 * [backup-simplify]: Simplify 0 into 0
7.441 * [backup-simplify]: Simplify 1 into 1
7.441 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in alpha
7.441 * [taylor]: Taking taylor expansion of (* 2.0 i) in alpha
7.441 * [taylor]: Taking taylor expansion of 2.0 in alpha
7.441 * [backup-simplify]: Simplify 2.0 into 2.0
7.441 * [taylor]: Taking taylor expansion of i in alpha
7.441 * [backup-simplify]: Simplify i into i
7.441 * [taylor]: Taking taylor expansion of beta in alpha
7.441 * [backup-simplify]: Simplify beta into beta
7.441 * [taylor]: Taking taylor expansion of (+ alpha (+ 2.0 (+ (* 2.0 i) beta))) in alpha
7.442 * [taylor]: Taking taylor expansion of alpha in alpha
7.442 * [backup-simplify]: Simplify 0 into 0
7.442 * [backup-simplify]: Simplify 1 into 1
7.442 * [taylor]: Taking taylor expansion of (+ 2.0 (+ (* 2.0 i) beta)) in alpha
7.442 * [taylor]: Taking taylor expansion of 2.0 in alpha
7.442 * [backup-simplify]: Simplify 2.0 into 2.0
7.442 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in alpha
7.442 * [taylor]: Taking taylor expansion of (* 2.0 i) in alpha
7.442 * [taylor]: Taking taylor expansion of 2.0 in alpha
7.442 * [backup-simplify]: Simplify 2.0 into 2.0
7.442 * [taylor]: Taking taylor expansion of i in alpha
7.442 * [backup-simplify]: Simplify i into i
7.442 * [taylor]: Taking taylor expansion of beta in alpha
7.442 * [backup-simplify]: Simplify beta into beta
7.443 * [backup-simplify]: Simplify (* 1 1) into 1
7.443 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
7.443 * [backup-simplify]: Simplify (+ (* 2.0 i) beta) into (+ (* 2.0 i) beta)
7.443 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 i) beta)) into (+ (* 2.0 i) beta)
7.443 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
7.443 * [backup-simplify]: Simplify (+ (* 2.0 i) beta) into (+ (* 2.0 i) beta)
7.443 * [backup-simplify]: Simplify (+ 2.0 (+ (* 2.0 i) beta)) into (+ (* 2.0 i) (+ beta 2.0))
7.443 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 i) (+ beta 2.0))) into (+ (* 2.0 i) (+ beta 2.0))
7.444 * [backup-simplify]: Simplify (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0))) into (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))
7.444 * [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))))
7.444 * [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
7.444 * [taylor]: Taking taylor expansion of (+ (/ (pow beta 2) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta))))) 1.0) in alpha
7.444 * [taylor]: Taking taylor expansion of (/ (pow beta 2) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta))))) in alpha
7.444 * [taylor]: Taking taylor expansion of (pow beta 2) in alpha
7.444 * [taylor]: Taking taylor expansion of beta in alpha
7.444 * [backup-simplify]: Simplify beta into beta
7.444 * [taylor]: Taking taylor expansion of (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta)))) in alpha
7.444 * [taylor]: Taking taylor expansion of (+ alpha (+ (* 2.0 i) beta)) in alpha
7.444 * [taylor]: Taking taylor expansion of alpha in alpha
7.444 * [backup-simplify]: Simplify 0 into 0
7.444 * [backup-simplify]: Simplify 1 into 1
7.444 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in alpha
7.444 * [taylor]: Taking taylor expansion of (* 2.0 i) in alpha
7.444 * [taylor]: Taking taylor expansion of 2.0 in alpha
7.444 * [backup-simplify]: Simplify 2.0 into 2.0
7.444 * [taylor]: Taking taylor expansion of i in alpha
7.444 * [backup-simplify]: Simplify i into i
7.444 * [taylor]: Taking taylor expansion of beta in alpha
7.444 * [backup-simplify]: Simplify beta into beta
7.444 * [taylor]: Taking taylor expansion of (+ alpha (+ 2.0 (+ (* 2.0 i) beta))) in alpha
7.444 * [taylor]: Taking taylor expansion of alpha in alpha
7.445 * [backup-simplify]: Simplify 0 into 0
7.445 * [backup-simplify]: Simplify 1 into 1
7.445 * [taylor]: Taking taylor expansion of (+ 2.0 (+ (* 2.0 i) beta)) in alpha
7.445 * [taylor]: Taking taylor expansion of 2.0 in alpha
7.445 * [backup-simplify]: Simplify 2.0 into 2.0
7.445 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in alpha
7.445 * [taylor]: Taking taylor expansion of (* 2.0 i) in alpha
7.445 * [taylor]: Taking taylor expansion of 2.0 in alpha
7.445 * [backup-simplify]: Simplify 2.0 into 2.0
7.445 * [taylor]: Taking taylor expansion of i in alpha
7.445 * [backup-simplify]: Simplify i into i
7.445 * [taylor]: Taking taylor expansion of beta in alpha
7.445 * [backup-simplify]: Simplify beta into beta
7.445 * [backup-simplify]: Simplify (* beta beta) into (pow beta 2)
7.445 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
7.445 * [backup-simplify]: Simplify (+ (* 2.0 i) beta) into (+ (* 2.0 i) beta)
7.445 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 i) beta)) into (+ (* 2.0 i) beta)
7.445 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
7.445 * [backup-simplify]: Simplify (+ (* 2.0 i) beta) into (+ (* 2.0 i) beta)
7.445 * [backup-simplify]: Simplify (+ 2.0 (+ (* 2.0 i) beta)) into (+ (* 2.0 i) (+ beta 2.0))
7.446 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 i) (+ beta 2.0))) into (+ (* 2.0 i) (+ beta 2.0))
7.446 * [backup-simplify]: Simplify (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0))) into (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))
7.446 * [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))))
7.446 * [taylor]: Taking taylor expansion of 1.0 in alpha
7.446 * [backup-simplify]: Simplify 1.0 into 1.0
7.446 * [taylor]: Taking taylor expansion of (/ (pow alpha 2) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta))))) in alpha
7.446 * [taylor]: Taking taylor expansion of (pow alpha 2) in alpha
7.446 * [taylor]: Taking taylor expansion of alpha in alpha
7.446 * [backup-simplify]: Simplify 0 into 0
7.446 * [backup-simplify]: Simplify 1 into 1
7.446 * [taylor]: Taking taylor expansion of (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta)))) in alpha
7.447 * [taylor]: Taking taylor expansion of (+ alpha (+ (* 2.0 i) beta)) in alpha
7.447 * [taylor]: Taking taylor expansion of alpha in alpha
7.447 * [backup-simplify]: Simplify 0 into 0
7.447 * [backup-simplify]: Simplify 1 into 1
7.447 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in alpha
7.447 * [taylor]: Taking taylor expansion of (* 2.0 i) in alpha
7.447 * [taylor]: Taking taylor expansion of 2.0 in alpha
7.447 * [backup-simplify]: Simplify 2.0 into 2.0
7.447 * [taylor]: Taking taylor expansion of i in alpha
7.447 * [backup-simplify]: Simplify i into i
7.447 * [taylor]: Taking taylor expansion of beta in alpha
7.447 * [backup-simplify]: Simplify beta into beta
7.447 * [taylor]: Taking taylor expansion of (+ alpha (+ 2.0 (+ (* 2.0 i) beta))) in alpha
7.447 * [taylor]: Taking taylor expansion of alpha in alpha
7.447 * [backup-simplify]: Simplify 0 into 0
7.447 * [backup-simplify]: Simplify 1 into 1
7.447 * [taylor]: Taking taylor expansion of (+ 2.0 (+ (* 2.0 i) beta)) in alpha
7.447 * [taylor]: Taking taylor expansion of 2.0 in alpha
7.447 * [backup-simplify]: Simplify 2.0 into 2.0
7.447 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in alpha
7.447 * [taylor]: Taking taylor expansion of (* 2.0 i) in alpha
7.447 * [taylor]: Taking taylor expansion of 2.0 in alpha
7.447 * [backup-simplify]: Simplify 2.0 into 2.0
7.447 * [taylor]: Taking taylor expansion of i in alpha
7.447 * [backup-simplify]: Simplify i into i
7.447 * [taylor]: Taking taylor expansion of beta in alpha
7.447 * [backup-simplify]: Simplify beta into beta
7.448 * [backup-simplify]: Simplify (* 1 1) into 1
7.448 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
7.448 * [backup-simplify]: Simplify (+ (* 2.0 i) beta) into (+ (* 2.0 i) beta)
7.448 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 i) beta)) into (+ (* 2.0 i) beta)
7.448 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
7.448 * [backup-simplify]: Simplify (+ (* 2.0 i) beta) into (+ (* 2.0 i) beta)
7.448 * [backup-simplify]: Simplify (+ 2.0 (+ (* 2.0 i) beta)) into (+ (* 2.0 i) (+ beta 2.0))
7.448 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 i) (+ beta 2.0))) into (+ (* 2.0 i) (+ beta 2.0))
7.449 * [backup-simplify]: Simplify (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0))) into (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))
7.449 * [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))))
7.449 * [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)
7.450 * [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)
7.450 * [taylor]: Taking taylor expansion of (+ (/ (pow beta 2) (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))) 1.0) in beta
7.450 * [taylor]: Taking taylor expansion of (/ (pow beta 2) (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))) in beta
7.450 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
7.450 * [taylor]: Taking taylor expansion of beta in beta
7.450 * [backup-simplify]: Simplify 0 into 0
7.450 * [backup-simplify]: Simplify 1 into 1
7.450 * [taylor]: Taking taylor expansion of (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0))) in beta
7.450 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
7.450 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
7.450 * [taylor]: Taking taylor expansion of 2.0 in beta
7.450 * [backup-simplify]: Simplify 2.0 into 2.0
7.450 * [taylor]: Taking taylor expansion of i in beta
7.450 * [backup-simplify]: Simplify i into i
7.450 * [taylor]: Taking taylor expansion of beta in beta
7.450 * [backup-simplify]: Simplify 0 into 0
7.450 * [backup-simplify]: Simplify 1 into 1
7.450 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
7.451 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
7.451 * [taylor]: Taking taylor expansion of 2.0 in beta
7.451 * [backup-simplify]: Simplify 2.0 into 2.0
7.451 * [taylor]: Taking taylor expansion of i in beta
7.451 * [backup-simplify]: Simplify i into i
7.451 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
7.451 * [taylor]: Taking taylor expansion of beta in beta
7.451 * [backup-simplify]: Simplify 0 into 0
7.451 * [backup-simplify]: Simplify 1 into 1
7.451 * [taylor]: Taking taylor expansion of 2.0 in beta
7.451 * [backup-simplify]: Simplify 2.0 into 2.0
7.451 * [backup-simplify]: Simplify (* 1 1) into 1
7.451 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
7.451 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
7.451 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
7.452 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
7.452 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
7.452 * [backup-simplify]: Simplify (* (* 2.0 i) (+ (* 2.0 i) 2.0)) into (* 2.0 (* i (+ (* 2.0 i) 2.0)))
7.452 * [backup-simplify]: Simplify (/ 1 (* 2.0 (* i (+ (* 2.0 i) 2.0)))) into (/ 0.5 (* i (+ (* 2.0 i) 2.0)))
7.452 * [taylor]: Taking taylor expansion of 1.0 in beta
7.452 * [backup-simplify]: Simplify 1.0 into 1.0
7.453 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0
7.453 * [taylor]: Taking taylor expansion of 1.0 in i
7.453 * [backup-simplify]: Simplify 1.0 into 1.0
7.453 * [backup-simplify]: Simplify 1.0 into 1.0
7.453 * [backup-simplify]: Simplify (+ (* beta 0) (* 0 beta)) into 0
7.454 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 i)) into 0
7.454 * [backup-simplify]: Simplify (+ 0 0) into 0
7.454 * [backup-simplify]: Simplify (+ 0 0) into 0
7.455 * [backup-simplify]: Simplify (+ 1 0) into 1
7.455 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 i)) into 0
7.456 * [backup-simplify]: Simplify (+ 0 0) into 0
7.456 * [backup-simplify]: Simplify (+ 1 0) into 1
7.456 * [backup-simplify]: Simplify (+ (* (+ (* 2.0 i) beta) 1) (* 1 (+ (* 2.0 i) (+ beta 2.0)))) into (+ 2.0 (+ (* 4.0 i) (* 2 beta)))
7.458 * [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)))))))
7.462 * [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)))))))
7.465 * [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)))))))
7.465 * [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
7.465 * [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
7.465 * [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
7.465 * [taylor]: Taking taylor expansion of 4.0 in beta
7.465 * [backup-simplify]: Simplify 4.0 into 4.0
7.465 * [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
7.465 * [taylor]: Taking taylor expansion of (* i (pow beta 2)) in beta
7.465 * [taylor]: Taking taylor expansion of i in beta
7.465 * [backup-simplify]: Simplify i into i
7.465 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
7.466 * [taylor]: Taking taylor expansion of beta in beta
7.466 * [backup-simplify]: Simplify 0 into 0
7.466 * [backup-simplify]: Simplify 1 into 1
7.466 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)) in beta
7.466 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 2) in beta
7.466 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
7.466 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
7.466 * [taylor]: Taking taylor expansion of 2.0 in beta
7.466 * [backup-simplify]: Simplify 2.0 into 2.0
7.466 * [taylor]: Taking taylor expansion of i in beta
7.466 * [backup-simplify]: Simplify i into i
7.466 * [taylor]: Taking taylor expansion of beta in beta
7.466 * [backup-simplify]: Simplify 0 into 0
7.466 * [backup-simplify]: Simplify 1 into 1
7.466 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
7.466 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
7.466 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 2) in beta
7.466 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
7.466 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
7.466 * [taylor]: Taking taylor expansion of 2.0 in beta
7.466 * [backup-simplify]: Simplify 2.0 into 2.0
7.466 * [taylor]: Taking taylor expansion of i in beta
7.466 * [backup-simplify]: Simplify i into i
7.466 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
7.466 * [taylor]: Taking taylor expansion of beta in beta
7.466 * [backup-simplify]: Simplify 0 into 0
7.466 * [backup-simplify]: Simplify 1 into 1
7.466 * [taylor]: Taking taylor expansion of 2.0 in beta
7.466 * [backup-simplify]: Simplify 2.0 into 2.0
7.466 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
7.467 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
7.467 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
7.468 * [backup-simplify]: Simplify (* 1 1) into 1
7.468 * [backup-simplify]: Simplify (* i 1) into i
7.468 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
7.468 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
7.468 * [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)))
7.469 * [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)))
7.469 * [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
7.469 * [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
7.469 * [taylor]: Taking taylor expansion of 2 in beta
7.469 * [backup-simplify]: Simplify 2 into 2
7.469 * [taylor]: Taking taylor expansion of (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2))) in beta
7.469 * [taylor]: Taking taylor expansion of (pow beta 3) in beta
7.469 * [taylor]: Taking taylor expansion of beta in beta
7.469 * [backup-simplify]: Simplify 0 into 0
7.469 * [backup-simplify]: Simplify 1 into 1
7.469 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)) in beta
7.469 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 2) in beta
7.469 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
7.469 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
7.469 * [taylor]: Taking taylor expansion of 2.0 in beta
7.469 * [backup-simplify]: Simplify 2.0 into 2.0
7.469 * [taylor]: Taking taylor expansion of i in beta
7.469 * [backup-simplify]: Simplify i into i
7.469 * [taylor]: Taking taylor expansion of beta in beta
7.469 * [backup-simplify]: Simplify 0 into 0
7.469 * [backup-simplify]: Simplify 1 into 1
7.469 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
7.469 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
7.470 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 2) in beta
7.470 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
7.470 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
7.470 * [taylor]: Taking taylor expansion of 2.0 in beta
7.470 * [backup-simplify]: Simplify 2.0 into 2.0
7.470 * [taylor]: Taking taylor expansion of i in beta
7.470 * [backup-simplify]: Simplify i into i
7.470 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
7.470 * [taylor]: Taking taylor expansion of beta in beta
7.470 * [backup-simplify]: Simplify 0 into 0
7.470 * [backup-simplify]: Simplify 1 into 1
7.470 * [taylor]: Taking taylor expansion of 2.0 in beta
7.470 * [backup-simplify]: Simplify 2.0 into 2.0
7.470 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
7.470 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
7.470 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
7.471 * [backup-simplify]: Simplify (* 1 1) into 1
7.471 * [backup-simplify]: Simplify (* 1 1) into 1
7.471 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
7.472 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
7.472 * [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)))
7.472 * [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)))
7.472 * [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
7.472 * [taylor]: Taking taylor expansion of 2.0 in beta
7.472 * [backup-simplify]: Simplify 2.0 into 2.0
7.472 * [taylor]: Taking taylor expansion of (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2))) in beta
7.473 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
7.473 * [taylor]: Taking taylor expansion of beta in beta
7.473 * [backup-simplify]: Simplify 0 into 0
7.473 * [backup-simplify]: Simplify 1 into 1
7.473 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)) in beta
7.473 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 2) in beta
7.473 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
7.473 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
7.473 * [taylor]: Taking taylor expansion of 2.0 in beta
7.473 * [backup-simplify]: Simplify 2.0 into 2.0
7.473 * [taylor]: Taking taylor expansion of i in beta
7.473 * [backup-simplify]: Simplify i into i
7.473 * [taylor]: Taking taylor expansion of beta in beta
7.473 * [backup-simplify]: Simplify 0 into 0
7.473 * [backup-simplify]: Simplify 1 into 1
7.473 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
7.473 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
7.473 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 2) in beta
7.473 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
7.473 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
7.473 * [taylor]: Taking taylor expansion of 2.0 in beta
7.473 * [backup-simplify]: Simplify 2.0 into 2.0
7.473 * [taylor]: Taking taylor expansion of i in beta
7.473 * [backup-simplify]: Simplify i into i
7.473 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
7.473 * [taylor]: Taking taylor expansion of beta in beta
7.473 * [backup-simplify]: Simplify 0 into 0
7.473 * [backup-simplify]: Simplify 1 into 1
7.473 * [taylor]: Taking taylor expansion of 2.0 in beta
7.473 * [backup-simplify]: Simplify 2.0 into 2.0
7.474 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
7.474 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
7.474 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
7.474 * [backup-simplify]: Simplify (* 1 1) into 1
7.475 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
7.475 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
7.475 * [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)))
7.475 * [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)))
7.476 * [backup-simplify]: Simplify (+ 0 0) into 0
7.476 * [taylor]: Taking taylor expansion of 0 in i
7.476 * [backup-simplify]: Simplify 0 into 0
7.476 * [backup-simplify]: Simplify 0 into 0
7.476 * [backup-simplify]: Simplify 0 into 0
7.477 * [backup-simplify]: Simplify (+ (* beta 0) (+ (* 0 0) (* 0 beta))) into 0
7.477 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 i))) into 0
7.478 * [backup-simplify]: Simplify (+ 0 0) into 0
7.478 * [backup-simplify]: Simplify (+ 0 0) into 0
7.478 * [backup-simplify]: Simplify (+ 0 0) into 0
7.479 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 i))) into 0
7.480 * [backup-simplify]: Simplify (+ 0 0) into 0
7.480 * [backup-simplify]: Simplify (+ 0 0) into 0
7.481 * [backup-simplify]: Simplify (+ (* (+ (* 2.0 i) beta) 0) (+ (* 1 1) (* 0 (+ (* 2.0 i) (+ beta 2.0))))) into 1
7.488 * [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))))
7.497 * [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))))
7.498 * [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)))))
7.507 * [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)))))
7.507 * [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
7.507 * [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
7.507 * [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
7.507 * [taylor]: Taking taylor expansion of 16.0 in beta
7.507 * [backup-simplify]: Simplify 16.0 into 16.0
7.507 * [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
7.507 * [taylor]: Taking taylor expansion of (* (pow i 2) (pow beta 2)) in beta
7.507 * [taylor]: Taking taylor expansion of (pow i 2) in beta
7.507 * [taylor]: Taking taylor expansion of i in beta
7.507 * [backup-simplify]: Simplify i into i
7.507 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
7.507 * [taylor]: Taking taylor expansion of beta in beta
7.507 * [backup-simplify]: Simplify 0 into 0
7.507 * [backup-simplify]: Simplify 1 into 1
7.507 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)) in beta
7.507 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 3) in beta
7.508 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
7.508 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
7.508 * [taylor]: Taking taylor expansion of 2.0 in beta
7.508 * [backup-simplify]: Simplify 2.0 into 2.0
7.508 * [taylor]: Taking taylor expansion of i in beta
7.508 * [backup-simplify]: Simplify i into i
7.508 * [taylor]: Taking taylor expansion of beta in beta
7.508 * [backup-simplify]: Simplify 0 into 0
7.508 * [backup-simplify]: Simplify 1 into 1
7.508 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
7.508 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
7.508 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 3) in beta
7.508 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
7.508 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
7.508 * [taylor]: Taking taylor expansion of 2.0 in beta
7.508 * [backup-simplify]: Simplify 2.0 into 2.0
7.508 * [taylor]: Taking taylor expansion of i in beta
7.508 * [backup-simplify]: Simplify i into i
7.508 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
7.508 * [taylor]: Taking taylor expansion of beta in beta
7.508 * [backup-simplify]: Simplify 0 into 0
7.508 * [backup-simplify]: Simplify 1 into 1
7.508 * [taylor]: Taking taylor expansion of 2.0 in beta
7.508 * [backup-simplify]: Simplify 2.0 into 2.0
7.508 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
7.509 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
7.509 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
7.509 * [backup-simplify]: Simplify (* i i) into (pow i 2)
7.509 * [backup-simplify]: Simplify (* 1 1) into 1
7.510 * [backup-simplify]: Simplify (* (pow i 2) 1) into (pow i 2)
7.510 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
7.510 * [backup-simplify]: Simplify (* (* 2.0 i) (* 4.0 (pow i 2))) into (* 8.0 (pow i 3))
7.510 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
7.510 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (pow (+ (* 2.0 i) 2.0) 2)) into (pow (+ (* 2.0 i) 2.0) 3)
7.511 * [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)))
7.511 * [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)))
7.511 * [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
7.511 * [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
7.511 * [taylor]: Taking taylor expansion of 4 in beta
7.511 * [backup-simplify]: Simplify 4 into 4
7.511 * [taylor]: Taking taylor expansion of (/ (pow beta 4) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3))) in beta
7.511 * [taylor]: Taking taylor expansion of (pow beta 4) in beta
7.511 * [taylor]: Taking taylor expansion of beta in beta
7.511 * [backup-simplify]: Simplify 0 into 0
7.511 * [backup-simplify]: Simplify 1 into 1
7.511 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)) in beta
7.511 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 3) in beta
7.511 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
7.512 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
7.512 * [taylor]: Taking taylor expansion of 2.0 in beta
7.512 * [backup-simplify]: Simplify 2.0 into 2.0
7.512 * [taylor]: Taking taylor expansion of i in beta
7.512 * [backup-simplify]: Simplify i into i
7.512 * [taylor]: Taking taylor expansion of beta in beta
7.512 * [backup-simplify]: Simplify 0 into 0
7.512 * [backup-simplify]: Simplify 1 into 1
7.512 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
7.512 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
7.512 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 3) in beta
7.512 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
7.512 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
7.512 * [taylor]: Taking taylor expansion of 2.0 in beta
7.512 * [backup-simplify]: Simplify 2.0 into 2.0
7.512 * [taylor]: Taking taylor expansion of i in beta
7.512 * [backup-simplify]: Simplify i into i
7.512 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
7.512 * [taylor]: Taking taylor expansion of beta in beta
7.512 * [backup-simplify]: Simplify 0 into 0
7.512 * [backup-simplify]: Simplify 1 into 1
7.512 * [taylor]: Taking taylor expansion of 2.0 in beta
7.512 * [backup-simplify]: Simplify 2.0 into 2.0
7.512 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
7.513 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
7.513 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
7.513 * [backup-simplify]: Simplify (* 1 1) into 1
7.519 * [backup-simplify]: Simplify (* 1 1) into 1
7.519 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
7.519 * [backup-simplify]: Simplify (* (* 2.0 i) (* 4.0 (pow i 2))) into (* 8.0 (pow i 3))
7.519 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
7.520 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (pow (+ (* 2.0 i) 2.0) 2)) into (pow (+ (* 2.0 i) 2.0) 3)
7.520 * [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)))
7.520 * [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)))
7.520 * [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
7.521 * [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
7.521 * [taylor]: Taking taylor expansion of 8.0 in beta
7.521 * [backup-simplify]: Simplify 8.0 into 8.0
7.521 * [taylor]: Taking taylor expansion of (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3))) in beta
7.521 * [taylor]: Taking taylor expansion of (pow beta 3) in beta
7.521 * [taylor]: Taking taylor expansion of beta in beta
7.521 * [backup-simplify]: Simplify 0 into 0
7.521 * [backup-simplify]: Simplify 1 into 1
7.521 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)) in beta
7.521 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 3) in beta
7.521 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
7.521 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
7.521 * [taylor]: Taking taylor expansion of 2.0 in beta
7.521 * [backup-simplify]: Simplify 2.0 into 2.0
7.521 * [taylor]: Taking taylor expansion of i in beta
7.521 * [backup-simplify]: Simplify i into i
7.521 * [taylor]: Taking taylor expansion of beta in beta
7.521 * [backup-simplify]: Simplify 0 into 0
7.521 * [backup-simplify]: Simplify 1 into 1
7.521 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
7.521 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
7.521 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 3) in beta
7.521 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
7.521 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
7.521 * [taylor]: Taking taylor expansion of 2.0 in beta
7.521 * [backup-simplify]: Simplify 2.0 into 2.0
7.521 * [taylor]: Taking taylor expansion of i in beta
7.521 * [backup-simplify]: Simplify i into i
7.521 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
7.521 * [taylor]: Taking taylor expansion of beta in beta
7.522 * [backup-simplify]: Simplify 0 into 0
7.522 * [backup-simplify]: Simplify 1 into 1
7.522 * [taylor]: Taking taylor expansion of 2.0 in beta
7.522 * [backup-simplify]: Simplify 2.0 into 2.0
7.522 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
7.522 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
7.522 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
7.523 * [backup-simplify]: Simplify (* 1 1) into 1
7.523 * [backup-simplify]: Simplify (* 1 1) into 1
7.523 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
7.523 * [backup-simplify]: Simplify (* (* 2.0 i) (* 4.0 (pow i 2))) into (* 8.0 (pow i 3))
7.524 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
7.524 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (pow (+ (* 2.0 i) 2.0) 2)) into (pow (+ (* 2.0 i) 2.0) 3)
7.524 * [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)))
7.525 * [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)))
7.525 * [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
7.525 * [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
7.525 * [taylor]: Taking taylor expansion of 16.0 in beta
7.525 * [backup-simplify]: Simplify 16.0 into 16.0
7.525 * [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
7.525 * [taylor]: Taking taylor expansion of (* i (pow beta 3)) in beta
7.525 * [taylor]: Taking taylor expansion of i in beta
7.525 * [backup-simplify]: Simplify i into i
7.525 * [taylor]: Taking taylor expansion of (pow beta 3) in beta
7.525 * [taylor]: Taking taylor expansion of beta in beta
7.525 * [backup-simplify]: Simplify 0 into 0
7.525 * [backup-simplify]: Simplify 1 into 1
7.525 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)) in beta
7.525 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 3) in beta
7.525 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
7.525 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
7.525 * [taylor]: Taking taylor expansion of 2.0 in beta
7.525 * [backup-simplify]: Simplify 2.0 into 2.0
7.525 * [taylor]: Taking taylor expansion of i in beta
7.525 * [backup-simplify]: Simplify i into i
7.525 * [taylor]: Taking taylor expansion of beta in beta
7.525 * [backup-simplify]: Simplify 0 into 0
7.525 * [backup-simplify]: Simplify 1 into 1
7.525 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
7.525 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
7.525 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 3) in beta
7.525 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
7.525 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
7.526 * [taylor]: Taking taylor expansion of 2.0 in beta
7.526 * [backup-simplify]: Simplify 2.0 into 2.0
7.526 * [taylor]: Taking taylor expansion of i in beta
7.526 * [backup-simplify]: Simplify i into i
7.526 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
7.526 * [taylor]: Taking taylor expansion of beta in beta
7.526 * [backup-simplify]: Simplify 0 into 0
7.526 * [backup-simplify]: Simplify 1 into 1
7.526 * [taylor]: Taking taylor expansion of 2.0 in beta
7.526 * [backup-simplify]: Simplify 2.0 into 2.0
7.526 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
7.526 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
7.526 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
7.527 * [backup-simplify]: Simplify (* 1 1) into 1
7.527 * [backup-simplify]: Simplify (* 1 1) into 1
7.527 * [backup-simplify]: Simplify (* i 1) into i
7.527 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
7.527 * [backup-simplify]: Simplify (* (* 2.0 i) (* 4.0 (pow i 2))) into (* 8.0 (pow i 3))
7.528 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
7.528 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (pow (+ (* 2.0 i) 2.0) 2)) into (pow (+ (* 2.0 i) 2.0) 3)
7.528 * [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)))
7.528 * [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)))
7.529 * [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
7.529 * [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
7.529 * [taylor]: Taking taylor expansion of 16.0 in beta
7.529 * [backup-simplify]: Simplify 16.0 into 16.0
7.529 * [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
7.529 * [taylor]: Taking taylor expansion of (* i (pow beta 2)) in beta
7.529 * [taylor]: Taking taylor expansion of i in beta
7.529 * [backup-simplify]: Simplify i into i
7.529 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
7.529 * [taylor]: Taking taylor expansion of beta in beta
7.529 * [backup-simplify]: Simplify 0 into 0
7.529 * [backup-simplify]: Simplify 1 into 1
7.529 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)) in beta
7.529 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 3) in beta
7.529 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
7.529 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
7.529 * [taylor]: Taking taylor expansion of 2.0 in beta
7.529 * [backup-simplify]: Simplify 2.0 into 2.0
7.529 * [taylor]: Taking taylor expansion of i in beta
7.529 * [backup-simplify]: Simplify i into i
7.529 * [taylor]: Taking taylor expansion of beta in beta
7.529 * [backup-simplify]: Simplify 0 into 0
7.529 * [backup-simplify]: Simplify 1 into 1
7.529 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
7.529 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
7.529 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 3) in beta
7.529 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
7.529 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
7.529 * [taylor]: Taking taylor expansion of 2.0 in beta
7.529 * [backup-simplify]: Simplify 2.0 into 2.0
7.529 * [taylor]: Taking taylor expansion of i in beta
7.530 * [backup-simplify]: Simplify i into i
7.530 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
7.530 * [taylor]: Taking taylor expansion of beta in beta
7.530 * [backup-simplify]: Simplify 0 into 0
7.530 * [backup-simplify]: Simplify 1 into 1
7.530 * [taylor]: Taking taylor expansion of 2.0 in beta
7.530 * [backup-simplify]: Simplify 2.0 into 2.0
7.530 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
7.530 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
7.530 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
7.531 * [backup-simplify]: Simplify (* 1 1) into 1
7.531 * [backup-simplify]: Simplify (* i 1) into i
7.531 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
7.531 * [backup-simplify]: Simplify (* (* 2.0 i) (* 4.0 (pow i 2))) into (* 8.0 (pow i 3))
7.531 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
7.531 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (pow (+ (* 2.0 i) 2.0) 2)) into (pow (+ (* 2.0 i) 2.0) 3)
7.532 * [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)))
7.532 * [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)))
7.532 * [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
7.532 * [taylor]: Taking taylor expansion of 4.0 in beta
7.532 * [backup-simplify]: Simplify 4.0 into 4.0
7.532 * [taylor]: Taking taylor expansion of (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3))) in beta
7.532 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
7.532 * [taylor]: Taking taylor expansion of beta in beta
7.532 * [backup-simplify]: Simplify 0 into 0
7.532 * [backup-simplify]: Simplify 1 into 1
7.532 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)) in beta
7.532 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 3) in beta
7.532 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
7.532 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
7.532 * [taylor]: Taking taylor expansion of 2.0 in beta
7.532 * [backup-simplify]: Simplify 2.0 into 2.0
7.533 * [taylor]: Taking taylor expansion of i in beta
7.533 * [backup-simplify]: Simplify i into i
7.533 * [taylor]: Taking taylor expansion of beta in beta
7.533 * [backup-simplify]: Simplify 0 into 0
7.533 * [backup-simplify]: Simplify 1 into 1
7.533 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
7.533 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
7.533 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 3) in beta
7.533 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
7.533 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
7.533 * [taylor]: Taking taylor expansion of 2.0 in beta
7.533 * [backup-simplify]: Simplify 2.0 into 2.0
7.533 * [taylor]: Taking taylor expansion of i in beta
7.533 * [backup-simplify]: Simplify i into i
7.533 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
7.533 * [taylor]: Taking taylor expansion of beta in beta
7.533 * [backup-simplify]: Simplify 0 into 0
7.533 * [backup-simplify]: Simplify 1 into 1
7.533 * [taylor]: Taking taylor expansion of 2.0 in beta
7.533 * [backup-simplify]: Simplify 2.0 into 2.0
7.533 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
7.534 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
7.534 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
7.534 * [backup-simplify]: Simplify (* 1 1) into 1
7.534 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
7.534 * [backup-simplify]: Simplify (* (* 2.0 i) (* 4.0 (pow i 2))) into (* 8.0 (pow i 3))
7.535 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
7.535 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (pow (+ (* 2.0 i) 2.0) 2)) into (pow (+ (* 2.0 i) 2.0) 3)
7.535 * [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)))
7.535 * [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)))
7.535 * [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
7.536 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))) in beta
7.536 * [taylor]: Taking taylor expansion of (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0))) in beta
7.536 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
7.536 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
7.536 * [taylor]: Taking taylor expansion of 2.0 in beta
7.536 * [backup-simplify]: Simplify 2.0 into 2.0
7.536 * [taylor]: Taking taylor expansion of i in beta
7.536 * [backup-simplify]: Simplify i into i
7.536 * [taylor]: Taking taylor expansion of beta in beta
7.536 * [backup-simplify]: Simplify 0 into 0
7.536 * [backup-simplify]: Simplify 1 into 1
7.536 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
7.536 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
7.536 * [taylor]: Taking taylor expansion of 2.0 in beta
7.536 * [backup-simplify]: Simplify 2.0 into 2.0
7.536 * [taylor]: Taking taylor expansion of i in beta
7.536 * [backup-simplify]: Simplify i into i
7.536 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
7.536 * [taylor]: Taking taylor expansion of beta in beta
7.536 * [backup-simplify]: Simplify 0 into 0
7.536 * [backup-simplify]: Simplify 1 into 1
7.536 * [taylor]: Taking taylor expansion of 2.0 in beta
7.536 * [backup-simplify]: Simplify 2.0 into 2.0
7.536 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
7.536 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
7.536 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
7.537 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
7.537 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
7.537 * [backup-simplify]: Simplify (* (* 2.0 i) (+ (* 2.0 i) 2.0)) into (* 2.0 (* i (+ (* 2.0 i) 2.0)))
7.537 * [backup-simplify]: Simplify (/ 1 (* 2.0 (* i (+ (* 2.0 i) 2.0)))) into (/ 0.5 (* i (+ (* 2.0 i) 2.0)))
7.537 * [taylor]: Taking taylor expansion of (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2))) in beta
7.537 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
7.537 * [taylor]: Taking taylor expansion of beta in beta
7.537 * [backup-simplify]: Simplify 0 into 0
7.537 * [backup-simplify]: Simplify 1 into 1
7.537 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)) in beta
7.537 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 2) in beta
7.537 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
7.538 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
7.538 * [taylor]: Taking taylor expansion of 2.0 in beta
7.538 * [backup-simplify]: Simplify 2.0 into 2.0
7.538 * [taylor]: Taking taylor expansion of i in beta
7.538 * [backup-simplify]: Simplify i into i
7.538 * [taylor]: Taking taylor expansion of beta in beta
7.538 * [backup-simplify]: Simplify 0 into 0
7.538 * [backup-simplify]: Simplify 1 into 1
7.538 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
7.538 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
7.538 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 2) in beta
7.538 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
7.538 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
7.538 * [taylor]: Taking taylor expansion of 2.0 in beta
7.538 * [backup-simplify]: Simplify 2.0 into 2.0
7.538 * [taylor]: Taking taylor expansion of i in beta
7.538 * [backup-simplify]: Simplify i into i
7.538 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
7.538 * [taylor]: Taking taylor expansion of beta in beta
7.538 * [backup-simplify]: Simplify 0 into 0
7.538 * [backup-simplify]: Simplify 1 into 1
7.538 * [taylor]: Taking taylor expansion of 2.0 in beta
7.538 * [backup-simplify]: Simplify 2.0 into 2.0
7.538 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
7.539 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
7.539 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
7.539 * [backup-simplify]: Simplify (* 1 1) into 1
7.539 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
7.539 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
7.540 * [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)))
7.540 * [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)))
7.540 * [backup-simplify]: Simplify (+ (/ 0.5 (* i (+ (* 2.0 i) 2.0))) 0) into (* 0.5 (/ 1 (* i (+ (* 2.0 i) 2.0))))
7.541 * [backup-simplify]: Simplify (- (* 0.5 (/ 1 (* i (+ (* 2.0 i) 2.0))))) into (- (* 0.5 (/ 1 (* i (+ (* 2.0 i) 2.0)))))
7.541 * [backup-simplify]: Simplify (+ 0 (- (* 0.5 (/ 1 (* i (+ (* 2.0 i) 2.0)))))) into (- (* 0.5 (/ 1 (* i (+ (* 2.0 i) 2.0)))))
7.541 * [taylor]: Taking taylor expansion of (- (* 0.5 (/ 1 (* i (+ (* 2.0 i) 2.0))))) in i
7.541 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (* i (+ (* 2.0 i) 2.0)))) in i
7.541 * [taylor]: Taking taylor expansion of 0.5 in i
7.541 * [backup-simplify]: Simplify 0.5 into 0.5
7.541 * [taylor]: Taking taylor expansion of (/ 1 (* i (+ (* 2.0 i) 2.0))) in i
7.541 * [taylor]: Taking taylor expansion of (* i (+ (* 2.0 i) 2.0)) in i
7.541 * [taylor]: Taking taylor expansion of i in i
7.541 * [backup-simplify]: Simplify 0 into 0
7.541 * [backup-simplify]: Simplify 1 into 1
7.541 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) 2.0) in i
7.541 * [taylor]: Taking taylor expansion of (* 2.0 i) in i
7.541 * [taylor]: Taking taylor expansion of 2.0 in i
7.541 * [backup-simplify]: Simplify 2.0 into 2.0
7.541 * [taylor]: Taking taylor expansion of i in i
7.541 * [backup-simplify]: Simplify 0 into 0
7.541 * [backup-simplify]: Simplify 1 into 1
7.541 * [taylor]: Taking taylor expansion of 2.0 in i
7.542 * [backup-simplify]: Simplify 2.0 into 2.0
7.542 * [backup-simplify]: Simplify (* 2.0 0) into 0
7.543 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
7.543 * [backup-simplify]: Simplify (* 0 2.0) into 0
7.545 * [backup-simplify]: Simplify (+ (* 2.0 1) (* 0 0)) into 2.0
7.545 * [backup-simplify]: Simplify (+ 2.0 0) into 2.0
7.546 * [backup-simplify]: Simplify (+ (* 0 2.0) (* 1 2.0)) into 2.0
7.547 * [backup-simplify]: Simplify (/ 1 2.0) into 0.5
7.548 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 1) (* 0 0))) into 0
7.548 * [backup-simplify]: Simplify (+ 0 0) into 0
7.551 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 2.0) (* 0 2.0))) into 2.0
7.552 * [backup-simplify]: Simplify (- (+ (* 0.5 (/ 2.0 2.0)))) into (- 0.5)
7.554 * [backup-simplify]: Simplify (+ (* 0.5 (- 0.5)) (* 0 0.5)) into (- 0.25)
7.554 * [backup-simplify]: Simplify (- (- 0.25)) into 0.25
7.554 * [backup-simplify]: Simplify 0.25 into 0.25
7.554 * [backup-simplify]: Simplify (+ (/ 0.5 (* i (+ (* 2.0 i) 2.0))) 0) into (* 0.5 (/ 1 (* i (+ (* 2.0 i) 2.0))))
7.554 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (* i (+ (* 2.0 i) 2.0)))) in i
7.554 * [taylor]: Taking taylor expansion of 0.5 in i
7.554 * [backup-simplify]: Simplify 0.5 into 0.5
7.554 * [taylor]: Taking taylor expansion of (/ 1 (* i (+ (* 2.0 i) 2.0))) in i
7.555 * [taylor]: Taking taylor expansion of (* i (+ (* 2.0 i) 2.0)) in i
7.555 * [taylor]: Taking taylor expansion of i in i
7.555 * [backup-simplify]: Simplify 0 into 0
7.555 * [backup-simplify]: Simplify 1 into 1
7.555 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) 2.0) in i
7.555 * [taylor]: Taking taylor expansion of (* 2.0 i) in i
7.555 * [taylor]: Taking taylor expansion of 2.0 in i
7.555 * [backup-simplify]: Simplify 2.0 into 2.0
7.555 * [taylor]: Taking taylor expansion of i in i
7.555 * [backup-simplify]: Simplify 0 into 0
7.555 * [backup-simplify]: Simplify 1 into 1
7.555 * [taylor]: Taking taylor expansion of 2.0 in i
7.555 * [backup-simplify]: Simplify 2.0 into 2.0
7.555 * [backup-simplify]: Simplify (* 2.0 0) into 0
7.555 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
7.556 * [backup-simplify]: Simplify (* 0 2.0) into 0
7.556 * [backup-simplify]: Simplify (+ (* 2.0 1) (* 0 0)) into 2.0
7.557 * [backup-simplify]: Simplify (+ 2.0 0) into 2.0
7.558 * [backup-simplify]: Simplify (+ (* 0 2.0) (* 1 2.0)) into 2.0
7.558 * [backup-simplify]: Simplify (/ 1 2.0) into 0.5
7.558 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 1) (* 0 0))) into 0
7.559 * [backup-simplify]: Simplify (+ 0 0) into 0
7.560 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 2.0) (* 0 2.0))) into 2.0
7.562 * [backup-simplify]: Simplify (- (+ (* 0.5 (/ 2.0 2.0)))) into (- 0.5)
7.563 * [backup-simplify]: Simplify (+ (* 0.5 (- 0.5)) (* 0 0.5)) into (- 0.25)
7.563 * [backup-simplify]: Simplify (- 0.25) into (- 0.25)
7.564 * [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)))
7.564 * [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)))))))
7.564 * [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
7.564 * [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
7.564 * [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
7.565 * [taylor]: Taking taylor expansion of 1.0 in i
7.565 * [backup-simplify]: Simplify 1.0 into 1.0
7.565 * [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
7.565 * [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
7.565 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) in i
7.565 * [taylor]: Taking taylor expansion of (/ 1 alpha) in i
7.565 * [taylor]: Taking taylor expansion of alpha in i
7.565 * [backup-simplify]: Simplify alpha into alpha
7.565 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
7.565 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0)) in i
7.565 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in i
7.565 * [taylor]: Taking taylor expansion of 2.0 in i
7.565 * [backup-simplify]: Simplify 2.0 into 2.0
7.565 * [taylor]: Taking taylor expansion of (/ 1 i) in i
7.565 * [taylor]: Taking taylor expansion of i in i
7.565 * [backup-simplify]: Simplify 0 into 0
7.565 * [backup-simplify]: Simplify 1 into 1
7.565 * [backup-simplify]: Simplify (/ 1 1) into 1
7.565 * [taylor]: Taking taylor expansion of (+ (/ 1 beta) 2.0) in i
7.565 * [taylor]: Taking taylor expansion of (/ 1 beta) in i
7.565 * [taylor]: Taking taylor expansion of beta in i
7.565 * [backup-simplify]: Simplify beta into beta
7.565 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
7.565 * [taylor]: Taking taylor expansion of 2.0 in i
7.565 * [backup-simplify]: Simplify 2.0 into 2.0
7.565 * [taylor]: Taking taylor expansion of (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2)) in i
7.565 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in i
7.565 * [taylor]: Taking taylor expansion of (/ 1 alpha) in i
7.565 * [taylor]: Taking taylor expansion of alpha in i
7.565 * [backup-simplify]: Simplify alpha into alpha
7.565 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
7.565 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in i
7.565 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in i
7.565 * [taylor]: Taking taylor expansion of 2.0 in i
7.565 * [backup-simplify]: Simplify 2.0 into 2.0
7.565 * [taylor]: Taking taylor expansion of (/ 1 i) in i
7.565 * [taylor]: Taking taylor expansion of i in i
7.566 * [backup-simplify]: Simplify 0 into 0
7.566 * [backup-simplify]: Simplify 1 into 1
7.566 * [backup-simplify]: Simplify (/ 1 1) into 1
7.566 * [taylor]: Taking taylor expansion of (/ 1 beta) in i
7.566 * [taylor]: Taking taylor expansion of beta in i
7.566 * [backup-simplify]: Simplify beta into beta
7.566 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
7.566 * [taylor]: Taking taylor expansion of (pow beta 2) in i
7.566 * [taylor]: Taking taylor expansion of beta in i
7.566 * [backup-simplify]: Simplify beta into beta
7.566 * [backup-simplify]: Simplify (* 2.0 1) into 2.0
7.566 * [backup-simplify]: Simplify (+ 2.0 0) into 2.0
7.567 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
7.567 * [backup-simplify]: Simplify (* 2.0 1) into 2.0
7.567 * [backup-simplify]: Simplify (+ 2.0 0) into 2.0
7.568 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
7.568 * [backup-simplify]: Simplify (* beta beta) into (pow beta 2)
7.568 * [backup-simplify]: Simplify (* 2.0 (pow beta 2)) into (* 2.0 (pow beta 2))
7.568 * [backup-simplify]: Simplify (* 2.0 (* 2.0 (pow beta 2))) into (* 4.0 (pow beta 2))
7.568 * [backup-simplify]: Simplify (/ 1 (* 4.0 (pow beta 2))) into (/ 0.25 (pow beta 2))
7.568 * [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
7.568 * [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
7.568 * [taylor]: Taking taylor expansion of (pow alpha 2) in i
7.568 * [taylor]: Taking taylor expansion of alpha in i
7.568 * [backup-simplify]: Simplify alpha into alpha
7.568 * [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
7.568 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in i
7.568 * [taylor]: Taking taylor expansion of (/ 1 alpha) in i
7.568 * [taylor]: Taking taylor expansion of alpha in i
7.568 * [backup-simplify]: Simplify alpha into alpha
7.568 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
7.568 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in i
7.568 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in i
7.568 * [taylor]: Taking taylor expansion of 2.0 in i
7.568 * [backup-simplify]: Simplify 2.0 into 2.0
7.568 * [taylor]: Taking taylor expansion of (/ 1 i) in i
7.568 * [taylor]: Taking taylor expansion of i in i
7.568 * [backup-simplify]: Simplify 0 into 0
7.568 * [backup-simplify]: Simplify 1 into 1
7.569 * [backup-simplify]: Simplify (/ 1 1) into 1
7.569 * [taylor]: Taking taylor expansion of (/ 1 beta) in i
7.569 * [taylor]: Taking taylor expansion of beta in i
7.569 * [backup-simplify]: Simplify beta into beta
7.569 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
7.569 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) in i
7.569 * [taylor]: Taking taylor expansion of (/ 1 alpha) in i
7.569 * [taylor]: Taking taylor expansion of alpha in i
7.569 * [backup-simplify]: Simplify alpha into alpha
7.569 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
7.569 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0)) in i
7.569 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in i
7.569 * [taylor]: Taking taylor expansion of 2.0 in i
7.569 * [backup-simplify]: Simplify 2.0 into 2.0
7.569 * [taylor]: Taking taylor expansion of (/ 1 i) in i
7.569 * [taylor]: Taking taylor expansion of i in i
7.569 * [backup-simplify]: Simplify 0 into 0
7.569 * [backup-simplify]: Simplify 1 into 1
7.569 * [backup-simplify]: Simplify (/ 1 1) into 1
7.569 * [taylor]: Taking taylor expansion of (+ (/ 1 beta) 2.0) in i
7.569 * [taylor]: Taking taylor expansion of (/ 1 beta) in i
7.569 * [taylor]: Taking taylor expansion of beta in i
7.569 * [backup-simplify]: Simplify beta into beta
7.569 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
7.569 * [taylor]: Taking taylor expansion of 2.0 in i
7.569 * [backup-simplify]: Simplify 2.0 into 2.0
7.569 * [backup-simplify]: Simplify (* alpha alpha) into (pow alpha 2)
7.570 * [backup-simplify]: Simplify (* 2.0 1) into 2.0
7.570 * [backup-simplify]: Simplify (+ 2.0 0) into 2.0
7.570 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
7.571 * [backup-simplify]: Simplify (* 2.0 1) into 2.0
7.571 * [backup-simplify]: Simplify (+ 2.0 0) into 2.0
7.571 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
7.571 * [backup-simplify]: Simplify (* 2.0 2.0) into 4.0
7.572 * [backup-simplify]: Simplify (* (pow alpha 2) 4.0) into (* 4.0 (pow alpha 2))
7.572 * [backup-simplify]: Simplify (/ 1 (* 4.0 (pow alpha 2))) into (/ 0.25 (pow alpha 2))
7.572 * [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
7.572 * [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
7.572 * [taylor]: Taking taylor expansion of 1.0 in beta
7.572 * [backup-simplify]: Simplify 1.0 into 1.0
7.572 * [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
7.572 * [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
7.572 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) in beta
7.572 * [taylor]: Taking taylor expansion of (/ 1 alpha) in beta
7.572 * [taylor]: Taking taylor expansion of alpha in beta
7.572 * [backup-simplify]: Simplify alpha into alpha
7.572 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
7.572 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0)) in beta
7.572 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in beta
7.572 * [taylor]: Taking taylor expansion of 2.0 in beta
7.572 * [backup-simplify]: Simplify 2.0 into 2.0
7.572 * [taylor]: Taking taylor expansion of (/ 1 i) in beta
7.572 * [taylor]: Taking taylor expansion of i in beta
7.572 * [backup-simplify]: Simplify i into i
7.572 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
7.573 * [taylor]: Taking taylor expansion of (+ (/ 1 beta) 2.0) in beta
7.573 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
7.573 * [taylor]: Taking taylor expansion of beta in beta
7.573 * [backup-simplify]: Simplify 0 into 0
7.573 * [backup-simplify]: Simplify 1 into 1
7.573 * [backup-simplify]: Simplify (/ 1 1) into 1
7.573 * [taylor]: Taking taylor expansion of 2.0 in beta
7.573 * [backup-simplify]: Simplify 2.0 into 2.0
7.573 * [taylor]: Taking taylor expansion of (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2)) in beta
7.573 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in beta
7.573 * [taylor]: Taking taylor expansion of (/ 1 alpha) in beta
7.573 * [taylor]: Taking taylor expansion of alpha in beta
7.573 * [backup-simplify]: Simplify alpha into alpha
7.573 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
7.573 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in beta
7.573 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in beta
7.573 * [taylor]: Taking taylor expansion of 2.0 in beta
7.573 * [backup-simplify]: Simplify 2.0 into 2.0
7.574 * [taylor]: Taking taylor expansion of (/ 1 i) in beta
7.574 * [taylor]: Taking taylor expansion of i in beta
7.574 * [backup-simplify]: Simplify i into i
7.574 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
7.574 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
7.574 * [taylor]: Taking taylor expansion of beta in beta
7.574 * [backup-simplify]: Simplify 0 into 0
7.574 * [backup-simplify]: Simplify 1 into 1
7.574 * [backup-simplify]: Simplify (/ 1 1) into 1
7.574 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
7.574 * [taylor]: Taking taylor expansion of beta in beta
7.574 * [backup-simplify]: Simplify 0 into 0
7.574 * [backup-simplify]: Simplify 1 into 1
7.575 * [backup-simplify]: Simplify (+ 1 0) into 1
7.575 * [backup-simplify]: Simplify (+ 0 1) into 1
7.576 * [backup-simplify]: Simplify (+ 0 1) into 1
7.576 * [backup-simplify]: Simplify (+ 0 1) into 1
7.576 * [backup-simplify]: Simplify (+ 0 1) into 1
7.577 * [backup-simplify]: Simplify (* 1 1) into 1
7.577 * [backup-simplify]: Simplify (* 1 1) into 1
7.578 * [backup-simplify]: Simplify (* 1 1) into 1
7.578 * [backup-simplify]: Simplify (/ 1 1) into 1
7.578 * [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
7.578 * [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
7.578 * [taylor]: Taking taylor expansion of (pow alpha 2) in beta
7.578 * [taylor]: Taking taylor expansion of alpha in beta
7.578 * [backup-simplify]: Simplify alpha into alpha
7.578 * [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
7.578 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in beta
7.578 * [taylor]: Taking taylor expansion of (/ 1 alpha) in beta
7.578 * [taylor]: Taking taylor expansion of alpha in beta
7.578 * [backup-simplify]: Simplify alpha into alpha
7.578 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
7.578 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in beta
7.578 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in beta
7.578 * [taylor]: Taking taylor expansion of 2.0 in beta
7.578 * [backup-simplify]: Simplify 2.0 into 2.0
7.579 * [taylor]: Taking taylor expansion of (/ 1 i) in beta
7.579 * [taylor]: Taking taylor expansion of i in beta
7.579 * [backup-simplify]: Simplify i into i
7.579 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
7.579 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
7.579 * [taylor]: Taking taylor expansion of beta in beta
7.579 * [backup-simplify]: Simplify 0 into 0
7.579 * [backup-simplify]: Simplify 1 into 1
7.579 * [backup-simplify]: Simplify (/ 1 1) into 1
7.579 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) in beta
7.579 * [taylor]: Taking taylor expansion of (/ 1 alpha) in beta
7.579 * [taylor]: Taking taylor expansion of alpha in beta
7.579 * [backup-simplify]: Simplify alpha into alpha
7.579 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
7.579 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0)) in beta
7.579 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in beta
7.579 * [taylor]: Taking taylor expansion of 2.0 in beta
7.580 * [backup-simplify]: Simplify 2.0 into 2.0
7.580 * [taylor]: Taking taylor expansion of (/ 1 i) in beta
7.580 * [taylor]: Taking taylor expansion of i in beta
7.580 * [backup-simplify]: Simplify i into i
7.580 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
7.580 * [taylor]: Taking taylor expansion of (+ (/ 1 beta) 2.0) in beta
7.580 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
7.580 * [taylor]: Taking taylor expansion of beta in beta
7.580 * [backup-simplify]: Simplify 0 into 0
7.580 * [backup-simplify]: Simplify 1 into 1
7.580 * [backup-simplify]: Simplify (/ 1 1) into 1
7.580 * [taylor]: Taking taylor expansion of 2.0 in beta
7.580 * [backup-simplify]: Simplify 2.0 into 2.0
7.580 * [backup-simplify]: Simplify (* alpha alpha) into (pow alpha 2)
7.581 * [backup-simplify]: Simplify (+ 0 1) into 1
7.581 * [backup-simplify]: Simplify (+ 0 1) into 1
7.582 * [backup-simplify]: Simplify (+ 1 0) into 1
7.582 * [backup-simplify]: Simplify (+ 0 1) into 1
7.582 * [backup-simplify]: Simplify (+ 0 1) into 1
7.583 * [backup-simplify]: Simplify (* 1 1) into 1
7.583 * [backup-simplify]: Simplify (* (pow alpha 2) 1) into (pow alpha 2)
7.583 * [backup-simplify]: Simplify (/ 1 (pow alpha 2)) into (/ 1 (pow alpha 2))
7.583 * [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
7.583 * [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
7.584 * [taylor]: Taking taylor expansion of 1.0 in alpha
7.584 * [backup-simplify]: Simplify 1.0 into 1.0
7.584 * [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
7.584 * [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
7.584 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) in alpha
7.584 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
7.584 * [taylor]: Taking taylor expansion of alpha in alpha
7.584 * [backup-simplify]: Simplify 0 into 0
7.584 * [backup-simplify]: Simplify 1 into 1
7.584 * [backup-simplify]: Simplify (/ 1 1) into 1
7.584 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0)) in alpha
7.584 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
7.584 * [taylor]: Taking taylor expansion of 2.0 in alpha
7.584 * [backup-simplify]: Simplify 2.0 into 2.0
7.584 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
7.584 * [taylor]: Taking taylor expansion of i in alpha
7.584 * [backup-simplify]: Simplify i into i
7.584 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
7.585 * [taylor]: Taking taylor expansion of (+ (/ 1 beta) 2.0) in alpha
7.585 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
7.585 * [taylor]: Taking taylor expansion of beta in alpha
7.585 * [backup-simplify]: Simplify beta into beta
7.585 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
7.585 * [taylor]: Taking taylor expansion of 2.0 in alpha
7.585 * [backup-simplify]: Simplify 2.0 into 2.0
7.585 * [taylor]: Taking taylor expansion of (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2)) in alpha
7.585 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in alpha
7.585 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
7.585 * [taylor]: Taking taylor expansion of alpha in alpha
7.585 * [backup-simplify]: Simplify 0 into 0
7.585 * [backup-simplify]: Simplify 1 into 1
7.585 * [backup-simplify]: Simplify (/ 1 1) into 1
7.585 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in alpha
7.585 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
7.585 * [taylor]: Taking taylor expansion of 2.0 in alpha
7.585 * [backup-simplify]: Simplify 2.0 into 2.0
7.586 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
7.586 * [taylor]: Taking taylor expansion of i in alpha
7.586 * [backup-simplify]: Simplify i into i
7.586 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
7.586 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
7.586 * [taylor]: Taking taylor expansion of beta in alpha
7.586 * [backup-simplify]: Simplify beta into beta
7.586 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
7.586 * [taylor]: Taking taylor expansion of (pow beta 2) in alpha
7.586 * [taylor]: Taking taylor expansion of beta in alpha
7.586 * [backup-simplify]: Simplify beta into beta
7.586 * [backup-simplify]: Simplify (+ 1 0) into 1
7.587 * [backup-simplify]: Simplify (+ 1 0) into 1
7.587 * [backup-simplify]: Simplify (* beta beta) into (pow beta 2)
7.587 * [backup-simplify]: Simplify (* 1 (pow beta 2)) into (pow beta 2)
7.587 * [backup-simplify]: Simplify (* 1 (pow beta 2)) into (pow beta 2)
7.587 * [backup-simplify]: Simplify (/ 1 (pow beta 2)) into (/ 1 (pow beta 2))
7.587 * [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
7.587 * [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
7.587 * [taylor]: Taking taylor expansion of (pow alpha 2) in alpha
7.587 * [taylor]: Taking taylor expansion of alpha in alpha
7.588 * [backup-simplify]: Simplify 0 into 0
7.588 * [backup-simplify]: Simplify 1 into 1
7.588 * [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
7.588 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in alpha
7.588 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
7.588 * [taylor]: Taking taylor expansion of alpha in alpha
7.588 * [backup-simplify]: Simplify 0 into 0
7.588 * [backup-simplify]: Simplify 1 into 1
7.588 * [backup-simplify]: Simplify (/ 1 1) into 1
7.588 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in alpha
7.588 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
7.588 * [taylor]: Taking taylor expansion of 2.0 in alpha
7.588 * [backup-simplify]: Simplify 2.0 into 2.0
7.588 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
7.588 * [taylor]: Taking taylor expansion of i in alpha
7.588 * [backup-simplify]: Simplify i into i
7.588 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
7.588 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
7.588 * [taylor]: Taking taylor expansion of beta in alpha
7.589 * [backup-simplify]: Simplify beta into beta
7.589 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
7.589 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) in alpha
7.589 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
7.589 * [taylor]: Taking taylor expansion of alpha in alpha
7.589 * [backup-simplify]: Simplify 0 into 0
7.589 * [backup-simplify]: Simplify 1 into 1
7.589 * [backup-simplify]: Simplify (/ 1 1) into 1
7.589 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0)) in alpha
7.589 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
7.589 * [taylor]: Taking taylor expansion of 2.0 in alpha
7.589 * [backup-simplify]: Simplify 2.0 into 2.0
7.589 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
7.589 * [taylor]: Taking taylor expansion of i in alpha
7.589 * [backup-simplify]: Simplify i into i
7.589 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
7.589 * [taylor]: Taking taylor expansion of (+ (/ 1 beta) 2.0) in alpha
7.590 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
7.590 * [taylor]: Taking taylor expansion of beta in alpha
7.590 * [backup-simplify]: Simplify beta into beta
7.590 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
7.590 * [taylor]: Taking taylor expansion of 2.0 in alpha
7.590 * [backup-simplify]: Simplify 2.0 into 2.0
7.590 * [backup-simplify]: Simplify (* 1 1) into 1
7.591 * [backup-simplify]: Simplify (+ 1 0) into 1
7.591 * [backup-simplify]: Simplify (+ 1 0) into 1
7.591 * [backup-simplify]: Simplify (* 1 1) into 1
7.592 * [backup-simplify]: Simplify (* 1 1) into 1
7.592 * [backup-simplify]: Simplify (/ 1 1) into 1
7.592 * [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
7.592 * [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
7.592 * [taylor]: Taking taylor expansion of 1.0 in alpha
7.592 * [backup-simplify]: Simplify 1.0 into 1.0
7.592 * [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
7.592 * [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
7.592 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) in alpha
7.592 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
7.592 * [taylor]: Taking taylor expansion of alpha in alpha
7.593 * [backup-simplify]: Simplify 0 into 0
7.593 * [backup-simplify]: Simplify 1 into 1
7.593 * [backup-simplify]: Simplify (/ 1 1) into 1
7.593 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0)) in alpha
7.593 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
7.593 * [taylor]: Taking taylor expansion of 2.0 in alpha
7.593 * [backup-simplify]: Simplify 2.0 into 2.0
7.593 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
7.593 * [taylor]: Taking taylor expansion of i in alpha
7.593 * [backup-simplify]: Simplify i into i
7.593 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
7.593 * [taylor]: Taking taylor expansion of (+ (/ 1 beta) 2.0) in alpha
7.593 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
7.593 * [taylor]: Taking taylor expansion of beta in alpha
7.593 * [backup-simplify]: Simplify beta into beta
7.593 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
7.593 * [taylor]: Taking taylor expansion of 2.0 in alpha
7.593 * [backup-simplify]: Simplify 2.0 into 2.0
7.594 * [taylor]: Taking taylor expansion of (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2)) in alpha
7.594 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in alpha
7.594 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
7.594 * [taylor]: Taking taylor expansion of alpha in alpha
7.594 * [backup-simplify]: Simplify 0 into 0
7.594 * [backup-simplify]: Simplify 1 into 1
7.594 * [backup-simplify]: Simplify (/ 1 1) into 1
7.594 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in alpha
7.594 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
7.594 * [taylor]: Taking taylor expansion of 2.0 in alpha
7.594 * [backup-simplify]: Simplify 2.0 into 2.0
7.594 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
7.594 * [taylor]: Taking taylor expansion of i in alpha
7.594 * [backup-simplify]: Simplify i into i
7.594 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
7.594 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
7.594 * [taylor]: Taking taylor expansion of beta in alpha
7.594 * [backup-simplify]: Simplify beta into beta
7.595 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
7.595 * [taylor]: Taking taylor expansion of (pow beta 2) in alpha
7.595 * [taylor]: Taking taylor expansion of beta in alpha
7.595 * [backup-simplify]: Simplify beta into beta
7.595 * [backup-simplify]: Simplify (+ 1 0) into 1
7.596 * [backup-simplify]: Simplify (+ 1 0) into 1
7.596 * [backup-simplify]: Simplify (* beta beta) into (pow beta 2)
7.596 * [backup-simplify]: Simplify (* 1 (pow beta 2)) into (pow beta 2)
7.596 * [backup-simplify]: Simplify (* 1 (pow beta 2)) into (pow beta 2)
7.596 * [backup-simplify]: Simplify (/ 1 (pow beta 2)) into (/ 1 (pow beta 2))
7.596 * [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
7.596 * [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
7.596 * [taylor]: Taking taylor expansion of (pow alpha 2) in alpha
7.596 * [taylor]: Taking taylor expansion of alpha in alpha
7.596 * [backup-simplify]: Simplify 0 into 0
7.596 * [backup-simplify]: Simplify 1 into 1
7.596 * [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
7.596 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in alpha
7.596 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
7.596 * [taylor]: Taking taylor expansion of alpha in alpha
7.596 * [backup-simplify]: Simplify 0 into 0
7.596 * [backup-simplify]: Simplify 1 into 1
7.597 * [backup-simplify]: Simplify (/ 1 1) into 1
7.597 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in alpha
7.597 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
7.597 * [taylor]: Taking taylor expansion of 2.0 in alpha
7.597 * [backup-simplify]: Simplify 2.0 into 2.0
7.597 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
7.597 * [taylor]: Taking taylor expansion of i in alpha
7.597 * [backup-simplify]: Simplify i into i
7.597 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
7.597 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
7.597 * [taylor]: Taking taylor expansion of beta in alpha
7.597 * [backup-simplify]: Simplify beta into beta
7.597 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
7.597 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) in alpha
7.597 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
7.597 * [taylor]: Taking taylor expansion of alpha in alpha
7.597 * [backup-simplify]: Simplify 0 into 0
7.598 * [backup-simplify]: Simplify 1 into 1
7.598 * [backup-simplify]: Simplify (/ 1 1) into 1
7.598 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0)) in alpha
7.598 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
7.598 * [taylor]: Taking taylor expansion of 2.0 in alpha
7.598 * [backup-simplify]: Simplify 2.0 into 2.0
7.598 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
7.598 * [taylor]: Taking taylor expansion of i in alpha
7.598 * [backup-simplify]: Simplify i into i
7.598 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
7.598 * [taylor]: Taking taylor expansion of (+ (/ 1 beta) 2.0) in alpha
7.598 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
7.598 * [taylor]: Taking taylor expansion of beta in alpha
7.598 * [backup-simplify]: Simplify beta into beta
7.598 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
7.598 * [taylor]: Taking taylor expansion of 2.0 in alpha
7.598 * [backup-simplify]: Simplify 2.0 into 2.0
7.599 * [backup-simplify]: Simplify (* 1 1) into 1
7.599 * [backup-simplify]: Simplify (+ 1 0) into 1
7.600 * [backup-simplify]: Simplify (+ 1 0) into 1
7.600 * [backup-simplify]: Simplify (* 1 1) into 1
7.601 * [backup-simplify]: Simplify (* 1 1) into 1
7.601 * [backup-simplify]: Simplify (/ 1 1) into 1
7.602 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0
7.602 * [backup-simplify]: Simplify (- 1) into -1
7.602 * [backup-simplify]: Simplify (+ 1.0 -1) into 0
7.602 * [taylor]: Taking taylor expansion of 0 in beta
7.602 * [backup-simplify]: Simplify 0 into 0
7.602 * [taylor]: Taking taylor expansion of 0 in i
7.602 * [backup-simplify]: Simplify 0 into 0
7.603 * [backup-simplify]: Simplify 0 into 0
7.603 * [backup-simplify]: Simplify (+ 0 0) into 0
7.604 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.604 * [backup-simplify]: Simplify (* 2.0 (/ 1 i)) into (/ 2.0 i)
7.604 * [backup-simplify]: Simplify (+ (/ 1 beta) 2.0) into (+ (/ 1 beta) 2.0)
7.604 * [backup-simplify]: Simplify (+ (/ 2.0 i) (+ (/ 1 beta) 2.0)) into (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))
7.605 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) into (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))
7.605 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.606 * [backup-simplify]: Simplify (* 2.0 (/ 1 i)) into (/ 2.0 i)
7.606 * [backup-simplify]: Simplify (+ (/ 2.0 i) (/ 1 beta)) into (+ (* 2.0 (/ 1 i)) (/ 1 beta))
7.606 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 (/ 1 i)) (/ 1 beta))) into (+ (* 2.0 (/ 1 i)) (/ 1 beta))
7.606 * [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))
7.607 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.608 * [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))
7.608 * [backup-simplify]: Simplify (- (+ (* 1 (/ (+ (* 4.0 (/ 1 i)) (+ (* 2 (/ 1 beta)) 2.0)) 1)))) into (- (+ (* 4.0 (/ 1 i)) (+ (* 2 (/ 1 beta)) 2.0)))
7.608 * [backup-simplify]: Simplify (- (- (+ (* 4.0 (/ 1 i)) (+ (* 2 (/ 1 beta)) 2.0)))) into (+ (* 4.0 (/ 1 i)) (+ (* 2 (/ 1 beta)) 2.0))
7.608 * [backup-simplify]: Simplify (+ 0 (+ (* 4.0 (/ 1 i)) (+ (* 2 (/ 1 beta)) 2.0))) into (+ (* 4.0 (/ 1 i)) (+ (* 2 (/ 1 beta)) 2.0))
7.608 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 i)) (+ (* 2 (/ 1 beta)) 2.0)) in beta
7.608 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 i)) in beta
7.608 * [taylor]: Taking taylor expansion of 4.0 in beta
7.608 * [backup-simplify]: Simplify 4.0 into 4.0
7.608 * [taylor]: Taking taylor expansion of (/ 1 i) in beta
7.608 * [taylor]: Taking taylor expansion of i in beta
7.608 * [backup-simplify]: Simplify i into i
7.608 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
7.608 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 beta)) 2.0) in beta
7.608 * [taylor]: Taking taylor expansion of (* 2 (/ 1 beta)) in beta
7.608 * [taylor]: Taking taylor expansion of 2 in beta
7.608 * [backup-simplify]: Simplify 2 into 2
7.608 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
7.608 * [taylor]: Taking taylor expansion of beta in beta
7.609 * [backup-simplify]: Simplify 0 into 0
7.609 * [backup-simplify]: Simplify 1 into 1
7.609 * [backup-simplify]: Simplify (/ 1 1) into 1
7.609 * [taylor]: Taking taylor expansion of 2.0 in beta
7.609 * [backup-simplify]: Simplify 2.0 into 2.0
7.609 * [backup-simplify]: Simplify (* 4.0 (/ 1 i)) into (/ 4.0 i)
7.609 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.610 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0
7.610 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
7.610 * [backup-simplify]: Simplify (+ (/ 4.0 i) 2.0) into (+ (* 4.0 (/ 1 i)) 2.0)
7.610 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 i)) 2.0) in i
7.610 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 i)) in i
7.610 * [taylor]: Taking taylor expansion of 4.0 in i
7.610 * [backup-simplify]: Simplify 4.0 into 4.0
7.610 * [taylor]: Taking taylor expansion of (/ 1 i) in i
7.610 * [taylor]: Taking taylor expansion of i in i
7.610 * [backup-simplify]: Simplify 0 into 0
7.610 * [backup-simplify]: Simplify 1 into 1
7.611 * [backup-simplify]: Simplify (/ 1 1) into 1
7.611 * [taylor]: Taking taylor expansion of 2.0 in i
7.611 * [backup-simplify]: Simplify 2.0 into 2.0
7.611 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.611 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 1)) into 0
7.612 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
7.612 * [backup-simplify]: Simplify 2.0 into 2.0
7.612 * [taylor]: Taking taylor expansion of 0 in i
7.612 * [backup-simplify]: Simplify 0 into 0
7.612 * [backup-simplify]: Simplify 0 into 0
7.612 * [backup-simplify]: Simplify 0 into 0
7.612 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow beta 2))) into (/ 1 (pow beta 2))
7.613 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.613 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
7.613 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 (/ 1 i))) into 0
7.613 * [backup-simplify]: Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
7.613 * [backup-simplify]: Simplify (+ 0 0) into 0
7.614 * [backup-simplify]: Simplify (+ 0 0) into 0
7.614 * [backup-simplify]: Simplify (+ 0 0) into 0
7.614 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.614 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
7.615 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 (/ 1 i))) into 0
7.615 * [backup-simplify]: Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
7.615 * [backup-simplify]: Simplify (+ 0 0) into 0
7.615 * [backup-simplify]: Simplify (+ 0 0) into 0
7.616 * [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))))))
7.617 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.618 * [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))))))
7.619 * [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)))))
7.620 * [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))))))
7.621 * [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))))))
7.621 * [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
7.621 * [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
7.621 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow beta 2))) in beta
7.621 * [taylor]: Taking taylor expansion of 2 in beta
7.621 * [backup-simplify]: Simplify 2 into 2
7.621 * [taylor]: Taking taylor expansion of (/ 1 (pow beta 2)) in beta
7.621 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
7.621 * [taylor]: Taking taylor expansion of beta in beta
7.621 * [backup-simplify]: Simplify 0 into 0
7.621 * [backup-simplify]: Simplify 1 into 1
7.621 * [backup-simplify]: Simplify (* 1 1) into 1
7.621 * [backup-simplify]: Simplify (/ 1 1) into 1
7.621 * [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
7.621 * [taylor]: Taking taylor expansion of (* 12.0 (/ 1 (pow i 2))) in beta
7.621 * [taylor]: Taking taylor expansion of 12.0 in beta
7.621 * [backup-simplify]: Simplify 12.0 into 12.0
7.621 * [taylor]: Taking taylor expansion of (/ 1 (pow i 2)) in beta
7.621 * [taylor]: Taking taylor expansion of (pow i 2) in beta
7.622 * [taylor]: Taking taylor expansion of i in beta
7.622 * [backup-simplify]: Simplify i into i
7.622 * [backup-simplify]: Simplify (* i i) into (pow i 2)
7.622 * [backup-simplify]: Simplify (/ 1 (pow i 2)) into (/ 1 (pow i 2))
7.622 * [taylor]: Taking taylor expansion of (+ (* 6.0 (/ 1 beta)) (+ (* 12.0 (/ 1 i)) (+ (* 12.0 (/ 1 (* i beta))) 4.0))) in beta
7.622 * [taylor]: Taking taylor expansion of (* 6.0 (/ 1 beta)) in beta
7.622 * [taylor]: Taking taylor expansion of 6.0 in beta
7.622 * [backup-simplify]: Simplify 6.0 into 6.0
7.622 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
7.622 * [taylor]: Taking taylor expansion of beta in beta
7.622 * [backup-simplify]: Simplify 0 into 0
7.622 * [backup-simplify]: Simplify 1 into 1
7.622 * [backup-simplify]: Simplify (/ 1 1) into 1
7.622 * [taylor]: Taking taylor expansion of (+ (* 12.0 (/ 1 i)) (+ (* 12.0 (/ 1 (* i beta))) 4.0)) in beta
7.622 * [taylor]: Taking taylor expansion of (* 12.0 (/ 1 i)) in beta
7.622 * [taylor]: Taking taylor expansion of 12.0 in beta
7.622 * [backup-simplify]: Simplify 12.0 into 12.0
7.622 * [taylor]: Taking taylor expansion of (/ 1 i) in beta
7.622 * [taylor]: Taking taylor expansion of i in beta
7.622 * [backup-simplify]: Simplify i into i
7.622 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
7.622 * [taylor]: Taking taylor expansion of (+ (* 12.0 (/ 1 (* i beta))) 4.0) in beta
7.622 * [taylor]: Taking taylor expansion of (* 12.0 (/ 1 (* i beta))) in beta
7.622 * [taylor]: Taking taylor expansion of 12.0 in beta
7.622 * [backup-simplify]: Simplify 12.0 into 12.0
7.622 * [taylor]: Taking taylor expansion of (/ 1 (* i beta)) in beta
7.622 * [taylor]: Taking taylor expansion of (* i beta) in beta
7.622 * [taylor]: Taking taylor expansion of i in beta
7.622 * [backup-simplify]: Simplify i into i
7.622 * [taylor]: Taking taylor expansion of beta in beta
7.622 * [backup-simplify]: Simplify 0 into 0
7.622 * [backup-simplify]: Simplify 1 into 1
7.622 * [backup-simplify]: Simplify (* i 0) into 0
7.623 * [backup-simplify]: Simplify (+ (* i 1) (* 0 0)) into i
7.623 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
7.623 * [taylor]: Taking taylor expansion of 4.0 in beta
7.623 * [backup-simplify]: Simplify 4.0 into 4.0
7.623 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.624 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.624 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.625 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.625 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0
7.625 * [backup-simplify]: Simplify (* 12.0 (/ 1 (pow i 2))) into (/ 12.0 (pow i 2))
7.626 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.626 * [backup-simplify]: Simplify (+ (* 6.0 0) (* 0 1)) into 0
7.626 * [backup-simplify]: Simplify (* 12.0 (/ 1 i)) into (/ 12.0 i)
7.627 * [backup-simplify]: Simplify (+ (* i 0) (+ (* 0 1) (* 0 0))) into 0
7.627 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
7.627 * [backup-simplify]: Simplify (+ (* 12.0 0) (* 0 (/ 1 i))) into 0
7.627 * [backup-simplify]: Simplify (+ 0 4.0) into 4.0
7.628 * [backup-simplify]: Simplify (+ (/ 12.0 i) 4.0) into (+ (* 12.0 (/ 1 i)) 4.0)
7.628 * [backup-simplify]: Simplify (+ 0 (+ (* 12.0 (/ 1 i)) 4.0)) into (+ (* 12.0 (/ 1 i)) 4.0)
7.628 * [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))
7.628 * [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))
7.628 * [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)))
7.628 * [taylor]: Taking taylor expansion of (- (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 12.0 (/ 1 i)) 4.0))) in i
7.628 * [taylor]: Taking taylor expansion of (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 12.0 (/ 1 i)) 4.0)) in i
7.628 * [taylor]: Taking taylor expansion of (* 12.0 (/ 1 (pow i 2))) in i
7.628 * [taylor]: Taking taylor expansion of 12.0 in i
7.628 * [backup-simplify]: Simplify 12.0 into 12.0
7.628 * [taylor]: Taking taylor expansion of (/ 1 (pow i 2)) in i
7.628 * [taylor]: Taking taylor expansion of (pow i 2) in i
7.628 * [taylor]: Taking taylor expansion of i in i
7.629 * [backup-simplify]: Simplify 0 into 0
7.629 * [backup-simplify]: Simplify 1 into 1
7.629 * [backup-simplify]: Simplify (* 1 1) into 1
7.629 * [backup-simplify]: Simplify (/ 1 1) into 1
7.629 * [taylor]: Taking taylor expansion of (+ (* 12.0 (/ 1 i)) 4.0) in i
7.629 * [taylor]: Taking taylor expansion of (* 12.0 (/ 1 i)) in i
7.629 * [taylor]: Taking taylor expansion of 12.0 in i
7.629 * [backup-simplify]: Simplify 12.0 into 12.0
7.629 * [taylor]: Taking taylor expansion of (/ 1 i) in i
7.629 * [taylor]: Taking taylor expansion of i in i
7.629 * [backup-simplify]: Simplify 0 into 0
7.629 * [backup-simplify]: Simplify 1 into 1
7.629 * [backup-simplify]: Simplify (/ 1 1) into 1
7.629 * [taylor]: Taking taylor expansion of 4.0 in i
7.629 * [backup-simplify]: Simplify 4.0 into 4.0
7.630 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.630 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.631 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.631 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.632 * [backup-simplify]: Simplify (+ (* 12.0 0) (+ (* 0 0) (* 0 1))) into 0
7.632 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.633 * [backup-simplify]: Simplify (+ (* 12.0 0) (* 0 1)) into 0
7.633 * [backup-simplify]: Simplify (+ 0 4.0) into 4.0
7.633 * [backup-simplify]: Simplify (+ 0 4.0) into 4.0
7.634 * [backup-simplify]: Simplify (- 4.0) into (- 4.0)
7.634 * [backup-simplify]: Simplify (- 4.0) into (- 4.0)
7.634 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
7.634 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 i))) into 0
7.635 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.635 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0
7.636 * [backup-simplify]: Simplify (+ 0 0) into 0
7.636 * [backup-simplify]: Simplify (+ 0 0) into 0
7.636 * [taylor]: Taking taylor expansion of 0 in i
7.636 * [backup-simplify]: Simplify 0 into 0
7.636 * [backup-simplify]: Simplify 0 into 0
7.636 * [taylor]: Taking taylor expansion of 0 in i
7.636 * [backup-simplify]: Simplify 0 into 0
7.636 * [backup-simplify]: Simplify 0 into 0
7.636 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.637 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 1))) into 0
7.637 * [backup-simplify]: Simplify (+ 0 0) into 0
7.637 * [backup-simplify]: Simplify 0 into 0
7.637 * [backup-simplify]: Simplify 0 into 0
7.637 * [backup-simplify]: Simplify 0 into 0
7.637 * [backup-simplify]: Simplify (+ (* beta 0) (* 0 beta)) into 0
7.638 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.638 * [backup-simplify]: Simplify (* 2.0 (/ 1 i)) into (/ 2.0 i)
7.638 * [backup-simplify]: Simplify (+ (/ 2.0 i) (/ 1 beta)) into (+ (* 2.0 (/ 1 i)) (/ 1 beta))
7.638 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 (/ 1 i)) (/ 1 beta))) into (+ (* 2.0 (/ 1 i)) (/ 1 beta))
7.639 * [backup-simplify]: Simplify (+ (* 1 0) (* (+ (* 2.0 (/ 1 i)) (/ 1 beta)) (pow beta 2))) into (+ (* 2.0 (/ (pow beta 2) i)) beta)
7.639 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.639 * [backup-simplify]: Simplify (* 2.0 (/ 1 i)) into (/ 2.0 i)
7.639 * [backup-simplify]: Simplify (+ (/ 1 beta) 2.0) into (+ (/ 1 beta) 2.0)
7.639 * [backup-simplify]: Simplify (+ (/ 2.0 i) (+ (/ 1 beta) 2.0)) into (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))
7.640 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) into (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))
7.640 * [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)))
7.642 * [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))))))
7.643 * [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))))))
7.648 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.648 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)) (* 0 (/ 0 i)))) into 0
7.649 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 (/ 1 i)))) into 0
7.649 * [backup-simplify]: Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
7.649 * [backup-simplify]: Simplify (+ 0 0) into 0
7.650 * [backup-simplify]: Simplify (+ 0 0) into 0
7.650 * [backup-simplify]: Simplify (+ 0 0) into 0
7.650 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.650 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)) (* 0 (/ 0 i)))) into 0
7.651 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 (/ 1 i)))) into 0
7.651 * [backup-simplify]: Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
7.651 * [backup-simplify]: Simplify (+ 0 0) into 0
7.652 * [backup-simplify]: Simplify (+ 0 0) into 0
7.652 * [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
7.653 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.654 * [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
7.657 * [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)))))))))))))
7.659 * [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)))))))))
7.662 * [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))))))))))))
7.662 * [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
7.662 * [taylor]: Taking taylor expansion of (* 20.0 (/ 1 (* i (pow beta 2)))) in beta
7.662 * [taylor]: Taking taylor expansion of 20.0 in beta
7.662 * [backup-simplify]: Simplify 20.0 into 20.0
7.662 * [taylor]: Taking taylor expansion of (/ 1 (* i (pow beta 2))) in beta
7.662 * [taylor]: Taking taylor expansion of (* i (pow beta 2)) in beta
7.662 * [taylor]: Taking taylor expansion of i in beta
7.662 * [backup-simplify]: Simplify i into i
7.662 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
7.662 * [taylor]: Taking taylor expansion of beta in beta
7.662 * [backup-simplify]: Simplify 0 into 0
7.662 * [backup-simplify]: Simplify 1 into 1
7.663 * [backup-simplify]: Simplify (* 1 1) into 1
7.663 * [backup-simplify]: Simplify (* i 1) into i
7.663 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
7.663 * [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
7.663 * [taylor]: Taking taylor expansion of (* 48.0 (/ 1 (pow i 2))) in beta
7.663 * [taylor]: Taking taylor expansion of 48.0 in beta
7.663 * [backup-simplify]: Simplify 48.0 into 48.0
7.663 * [taylor]: Taking taylor expansion of (/ 1 (pow i 2)) in beta
7.663 * [taylor]: Taking taylor expansion of (pow i 2) in beta
7.663 * [taylor]: Taking taylor expansion of i in beta
7.663 * [backup-simplify]: Simplify i into i
7.663 * [backup-simplify]: Simplify (* i i) into (pow i 2)
7.663 * [backup-simplify]: Simplify (/ 1 (pow i 2)) into (/ 1 (pow i 2))
7.663 * [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
7.663 * [taylor]: Taking taylor expansion of 8.0 in beta
7.664 * [backup-simplify]: Simplify 8.0 into 8.0
7.664 * [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
7.664 * [taylor]: Taking taylor expansion of (* 10.0 (/ 1 (pow beta 2))) in beta
7.664 * [taylor]: Taking taylor expansion of 10.0 in beta
7.664 * [backup-simplify]: Simplify 10.0 into 10.0
7.664 * [taylor]: Taking taylor expansion of (/ 1 (pow beta 2)) in beta
7.664 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
7.664 * [taylor]: Taking taylor expansion of beta in beta
7.664 * [backup-simplify]: Simplify 0 into 0
7.664 * [backup-simplify]: Simplify 1 into 1
7.664 * [backup-simplify]: Simplify (* 1 1) into 1
7.664 * [backup-simplify]: Simplify (/ 1 1) into 1
7.664 * [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
7.664 * [taylor]: Taking taylor expansion of (* 48.0 (/ 1 (* i beta))) in beta
7.664 * [taylor]: Taking taylor expansion of 48.0 in beta
7.664 * [backup-simplify]: Simplify 48.0 into 48.0
7.664 * [taylor]: Taking taylor expansion of (/ 1 (* i beta)) in beta
7.664 * [taylor]: Taking taylor expansion of (* i beta) in beta
7.664 * [taylor]: Taking taylor expansion of i in beta
7.664 * [backup-simplify]: Simplify i into i
7.664 * [taylor]: Taking taylor expansion of beta in beta
7.664 * [backup-simplify]: Simplify 0 into 0
7.664 * [backup-simplify]: Simplify 1 into 1
7.665 * [backup-simplify]: Simplify (* i 0) into 0
7.665 * [backup-simplify]: Simplify (+ (* i 1) (* 0 0)) into i
7.665 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
7.665 * [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
7.665 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow beta 3))) in beta
7.665 * [taylor]: Taking taylor expansion of 2 in beta
7.665 * [backup-simplify]: Simplify 2 into 2
7.665 * [taylor]: Taking taylor expansion of (/ 1 (pow beta 3)) in beta
7.665 * [taylor]: Taking taylor expansion of (pow beta 3) in beta
7.665 * [taylor]: Taking taylor expansion of beta in beta
7.665 * [backup-simplify]: Simplify 0 into 0
7.665 * [backup-simplify]: Simplify 1 into 1
7.665 * [backup-simplify]: Simplify (* 1 1) into 1
7.666 * [backup-simplify]: Simplify (* 1 1) into 1
7.666 * [backup-simplify]: Simplify (/ 1 1) into 1
7.666 * [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
7.666 * [taylor]: Taking taylor expansion of (* 48.0 (/ 1 (* (pow i 2) beta))) in beta
7.666 * [taylor]: Taking taylor expansion of 48.0 in beta
7.666 * [backup-simplify]: Simplify 48.0 into 48.0
7.666 * [taylor]: Taking taylor expansion of (/ 1 (* (pow i 2) beta)) in beta
7.666 * [taylor]: Taking taylor expansion of (* (pow i 2) beta) in beta
7.666 * [taylor]: Taking taylor expansion of (pow i 2) in beta
7.666 * [taylor]: Taking taylor expansion of i in beta
7.666 * [backup-simplify]: Simplify i into i
7.666 * [taylor]: Taking taylor expansion of beta in beta
7.666 * [backup-simplify]: Simplify 0 into 0
7.666 * [backup-simplify]: Simplify 1 into 1
7.666 * [backup-simplify]: Simplify (* i i) into (pow i 2)
7.666 * [backup-simplify]: Simplify (* (pow i 2) 0) into 0
7.666 * [backup-simplify]: Simplify (+ (* i 0) (* 0 i)) into 0
7.667 * [backup-simplify]: Simplify (+ (* (pow i 2) 1) (* 0 0)) into (pow i 2)
7.667 * [backup-simplify]: Simplify (/ 1 (pow i 2)) into (/ 1 (pow i 2))
7.667 * [taylor]: Taking taylor expansion of (+ (* 32.0 (/ 1 i)) (+ (* 16.0 (/ 1 beta)) (* 32.0 (/ 1 (pow i 3))))) in beta
7.667 * [taylor]: Taking taylor expansion of (* 32.0 (/ 1 i)) in beta
7.667 * [taylor]: Taking taylor expansion of 32.0 in beta
7.667 * [backup-simplify]: Simplify 32.0 into 32.0
7.667 * [taylor]: Taking taylor expansion of (/ 1 i) in beta
7.667 * [taylor]: Taking taylor expansion of i in beta
7.667 * [backup-simplify]: Simplify i into i
7.667 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
7.667 * [taylor]: Taking taylor expansion of (+ (* 16.0 (/ 1 beta)) (* 32.0 (/ 1 (pow i 3)))) in beta
7.667 * [taylor]: Taking taylor expansion of (* 16.0 (/ 1 beta)) in beta
7.667 * [taylor]: Taking taylor expansion of 16.0 in beta
7.667 * [backup-simplify]: Simplify 16.0 into 16.0
7.667 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
7.667 * [taylor]: Taking taylor expansion of beta in beta
7.667 * [backup-simplify]: Simplify 0 into 0
7.667 * [backup-simplify]: Simplify 1 into 1
7.667 * [backup-simplify]: Simplify (/ 1 1) into 1
7.667 * [taylor]: Taking taylor expansion of (* 32.0 (/ 1 (pow i 3))) in beta
7.667 * [taylor]: Taking taylor expansion of 32.0 in beta
7.667 * [backup-simplify]: Simplify 32.0 into 32.0
7.667 * [taylor]: Taking taylor expansion of (/ 1 (pow i 3)) in beta
7.667 * [taylor]: Taking taylor expansion of (pow i 3) in beta
7.667 * [taylor]: Taking taylor expansion of i in beta
7.667 * [backup-simplify]: Simplify i into i
7.667 * [backup-simplify]: Simplify (* i i) into (pow i 2)
7.668 * [backup-simplify]: Simplify (* i (pow i 2)) into (pow i 3)
7.668 * [backup-simplify]: Simplify (/ 1 (pow i 3)) into (/ 1 (pow i 3))
7.668 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.669 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.669 * [backup-simplify]: Simplify (+ (* i 0) (+ (* 0 0) (* 0 1))) into 0
7.669 * [backup-simplify]: Simplify (+ (* i 0) (* 0 1)) into 0
7.669 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
7.669 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)) (* 0 (/ 0 i)))) into 0
7.670 * [backup-simplify]: Simplify (+ (* 20.0 0) (+ (* 0 0) (* 0 (/ 1 i)))) into 0
7.670 * [backup-simplify]: Simplify (* 48.0 (/ 1 (pow i 2))) into (/ 48.0 (pow i 2))
7.671 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.671 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.672 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.672 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.673 * [backup-simplify]: Simplify (+ (* 10.0 0) (+ (* 0 0) (* 0 1))) into 0
7.673 * [backup-simplify]: Simplify (+ (* i 0) (+ (* 0 1) (* 0 0))) into 0
7.673 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
7.673 * [backup-simplify]: Simplify (+ (* 48.0 0) (* 0 (/ 1 i))) into 0
7.674 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.675 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.675 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.676 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.676 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.676 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.677 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.678 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.678 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.679 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.679 * [backup-simplify]: Simplify (+ (* i 0) (+ (* 0 0) (* 0 i))) into 0
7.680 * [backup-simplify]: Simplify (+ (* (pow i 2) 0) (+ (* 0 1) (* 0 0))) into 0
7.680 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow i 2)) (/ 0 (pow i 2))))) into 0
7.680 * [backup-simplify]: Simplify (+ (* 48.0 0) (* 0 (/ 1 (pow i 2)))) into 0
7.680 * [backup-simplify]: Simplify (* 32.0 (/ 1 i)) into (/ 32.0 i)
7.681 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.681 * [backup-simplify]: Simplify (+ (* 16.0 0) (* 0 1)) into 0
7.681 * [backup-simplify]: Simplify (* 32.0 (/ 1 (pow i 3))) into (/ 32.0 (pow i 3))
7.682 * [backup-simplify]: Simplify (+ 0 (/ 32.0 (pow i 3))) into (* 32.0 (/ 1 (pow i 3)))
7.682 * [backup-simplify]: Simplify (+ (/ 32.0 i) (* 32.0 (/ 1 (pow i 3)))) into (+ (* 32.0 (/ 1 i)) (* 32.0 (/ 1 (pow i 3))))
7.682 * [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)))
7.682 * [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)))
7.682 * [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)))
7.683 * [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)))
7.683 * [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))
7.683 * [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)))
7.683 * [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)))
7.684 * [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
7.684 * [taylor]: Taking taylor expansion of (* 48.0 (/ 1 (pow i 2))) in i
7.684 * [taylor]: Taking taylor expansion of 48.0 in i
7.684 * [backup-simplify]: Simplify 48.0 into 48.0
7.684 * [taylor]: Taking taylor expansion of (/ 1 (pow i 2)) in i
7.684 * [taylor]: Taking taylor expansion of (pow i 2) in i
7.684 * [taylor]: Taking taylor expansion of i in i
7.684 * [backup-simplify]: Simplify 0 into 0
7.684 * [backup-simplify]: Simplify 1 into 1
7.684 * [backup-simplify]: Simplify (* 1 1) into 1
7.684 * [backup-simplify]: Simplify (/ 1 1) into 1
7.684 * [taylor]: Taking taylor expansion of (+ (* 32.0 (/ 1 (pow i 3))) (+ (* 32.0 (/ 1 i)) 8.0)) in i
7.684 * [taylor]: Taking taylor expansion of (* 32.0 (/ 1 (pow i 3))) in i
7.684 * [taylor]: Taking taylor expansion of 32.0 in i
7.684 * [backup-simplify]: Simplify 32.0 into 32.0
7.684 * [taylor]: Taking taylor expansion of (/ 1 (pow i 3)) in i
7.684 * [taylor]: Taking taylor expansion of (pow i 3) in i
7.684 * [taylor]: Taking taylor expansion of i in i
7.684 * [backup-simplify]: Simplify 0 into 0
7.684 * [backup-simplify]: Simplify 1 into 1
7.685 * [backup-simplify]: Simplify (* 1 1) into 1
7.685 * [backup-simplify]: Simplify (* 1 1) into 1
7.685 * [backup-simplify]: Simplify (/ 1 1) into 1
7.685 * [taylor]: Taking taylor expansion of (+ (* 32.0 (/ 1 i)) 8.0) in i
7.685 * [taylor]: Taking taylor expansion of (* 32.0 (/ 1 i)) in i
7.685 * [taylor]: Taking taylor expansion of 32.0 in i
7.685 * [backup-simplify]: Simplify 32.0 into 32.0
7.685 * [taylor]: Taking taylor expansion of (/ 1 i) in i
7.685 * [taylor]: Taking taylor expansion of i in i
7.685 * [backup-simplify]: Simplify 0 into 0
7.685 * [backup-simplify]: Simplify 1 into 1
7.686 * [backup-simplify]: Simplify (/ 1 1) into 1
7.686 * [taylor]: Taking taylor expansion of 8.0 in i
7.686 * [backup-simplify]: Simplify 8.0 into 8.0
7.686 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.686 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.687 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.687 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.688 * [backup-simplify]: Simplify (+ (* 48.0 0) (+ (* 0 0) (* 0 1))) into 0
7.689 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.690 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.691 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.692 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.692 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.693 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.693 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.694 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.694 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.695 * [backup-simplify]: Simplify (+ (* 32.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.695 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.696 * [backup-simplify]: Simplify (+ (* 32.0 0) (* 0 1)) into 0
7.696 * [backup-simplify]: Simplify (+ 0 8.0) into 8.0
7.696 * [backup-simplify]: Simplify (+ 0 8.0) into 8.0
7.697 * [backup-simplify]: Simplify (+ 0 8.0) into 8.0
7.697 * [backup-simplify]: Simplify 8.0 into 8.0
7.697 * [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))))
7.698 * [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)))))
7.698 * [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
7.698 * [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
7.698 * [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
7.698 * [taylor]: Taking taylor expansion of 1.0 in i
7.698 * [backup-simplify]: Simplify 1.0 into 1.0
7.698 * [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
7.698 * [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
7.698 * [taylor]: Taking taylor expansion of (pow alpha 2) in i
7.698 * [taylor]: Taking taylor expansion of alpha in i
7.698 * [backup-simplify]: Simplify alpha into alpha
7.698 * [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
7.698 * [taylor]: Taking taylor expansion of (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) in i
7.698 * [taylor]: Taking taylor expansion of 2.0 in i
7.698 * [backup-simplify]: Simplify 2.0 into 2.0
7.698 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in i
7.698 * [taylor]: Taking taylor expansion of (/ 1 alpha) in i
7.698 * [taylor]: Taking taylor expansion of alpha in i
7.698 * [backup-simplify]: Simplify alpha into alpha
7.699 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
7.699 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in i
7.699 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in i
7.699 * [taylor]: Taking taylor expansion of 2.0 in i
7.699 * [backup-simplify]: Simplify 2.0 into 2.0
7.699 * [taylor]: Taking taylor expansion of (/ 1 i) in i
7.699 * [taylor]: Taking taylor expansion of i in i
7.699 * [backup-simplify]: Simplify 0 into 0
7.699 * [backup-simplify]: Simplify 1 into 1
7.699 * [backup-simplify]: Simplify (/ 1 1) into 1
7.699 * [taylor]: Taking taylor expansion of (/ 1 beta) in i
7.699 * [taylor]: Taking taylor expansion of beta in i
7.699 * [backup-simplify]: Simplify beta into beta
7.699 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
7.699 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in i
7.699 * [taylor]: Taking taylor expansion of (/ 1 alpha) in i
7.699 * [taylor]: Taking taylor expansion of alpha in i
7.699 * [backup-simplify]: Simplify alpha into alpha
7.699 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
7.699 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in i
7.699 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in i
7.699 * [taylor]: Taking taylor expansion of 2.0 in i
7.699 * [backup-simplify]: Simplify 2.0 into 2.0
7.699 * [taylor]: Taking taylor expansion of (/ 1 i) in i
7.699 * [taylor]: Taking taylor expansion of i in i
7.699 * [backup-simplify]: Simplify 0 into 0
7.699 * [backup-simplify]: Simplify 1 into 1
7.700 * [backup-simplify]: Simplify (/ 1 1) into 1
7.700 * [taylor]: Taking taylor expansion of (/ 1 beta) in i
7.700 * [taylor]: Taking taylor expansion of beta in i
7.700 * [backup-simplify]: Simplify beta into beta
7.700 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
7.700 * [backup-simplify]: Simplify (* alpha alpha) into (pow alpha 2)
7.700 * [backup-simplify]: Simplify (* 2.0 1) into 2.0
7.700 * [backup-simplify]: Simplify (+ 2.0 0) into 2.0
7.701 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
7.701 * [backup-simplify]: Simplify (- 2.0) into (- 2.0)
7.701 * [backup-simplify]: Simplify (+ 0 (- 2.0)) into (- 2.0)
7.702 * [backup-simplify]: Simplify (* 2.0 1) into 2.0
7.702 * [backup-simplify]: Simplify (+ 2.0 0) into 2.0
7.702 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
7.703 * [backup-simplify]: Simplify (* (- 2.0) 2.0) into -4.0
7.703 * [backup-simplify]: Simplify (* (pow alpha 2) -4.0) into (* -4.0 (pow alpha 2))
7.703 * [backup-simplify]: Simplify (/ 1 (* -4.0 (pow alpha 2))) into (/ -0.25 (pow alpha 2))
7.703 * [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
7.703 * [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
7.703 * [taylor]: Taking taylor expansion of (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) in i
7.703 * [taylor]: Taking taylor expansion of 2.0 in i
7.703 * [backup-simplify]: Simplify 2.0 into 2.0
7.703 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in i
7.703 * [taylor]: Taking taylor expansion of (/ 1 alpha) in i
7.703 * [taylor]: Taking taylor expansion of alpha in i
7.703 * [backup-simplify]: Simplify alpha into alpha
7.703 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
7.703 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in i
7.703 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in i
7.703 * [taylor]: Taking taylor expansion of 2.0 in i
7.703 * [backup-simplify]: Simplify 2.0 into 2.0
7.703 * [taylor]: Taking taylor expansion of (/ 1 i) in i
7.703 * [taylor]: Taking taylor expansion of i in i
7.703 * [backup-simplify]: Simplify 0 into 0
7.703 * [backup-simplify]: Simplify 1 into 1
7.704 * [backup-simplify]: Simplify (/ 1 1) into 1
7.704 * [taylor]: Taking taylor expansion of (/ 1 beta) in i
7.704 * [taylor]: Taking taylor expansion of beta in i
7.704 * [backup-simplify]: Simplify beta into beta
7.704 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
7.704 * [taylor]: Taking taylor expansion of (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2)) in i
7.704 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in i
7.704 * [taylor]: Taking taylor expansion of (/ 1 alpha) in i
7.704 * [taylor]: Taking taylor expansion of alpha in i
7.704 * [backup-simplify]: Simplify alpha into alpha
7.704 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
7.704 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in i
7.704 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in i
7.704 * [taylor]: Taking taylor expansion of 2.0 in i
7.704 * [backup-simplify]: Simplify 2.0 into 2.0
7.704 * [taylor]: Taking taylor expansion of (/ 1 i) in i
7.704 * [taylor]: Taking taylor expansion of i in i
7.704 * [backup-simplify]: Simplify 0 into 0
7.704 * [backup-simplify]: Simplify 1 into 1
7.704 * [backup-simplify]: Simplify (/ 1 1) into 1
7.704 * [taylor]: Taking taylor expansion of (/ 1 beta) in i
7.704 * [taylor]: Taking taylor expansion of beta in i
7.704 * [backup-simplify]: Simplify beta into beta
7.704 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
7.704 * [taylor]: Taking taylor expansion of (pow beta 2) in i
7.704 * [taylor]: Taking taylor expansion of beta in i
7.704 * [backup-simplify]: Simplify beta into beta
7.705 * [backup-simplify]: Simplify (* 2.0 1) into 2.0
7.705 * [backup-simplify]: Simplify (+ 2.0 0) into 2.0
7.705 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
7.706 * [backup-simplify]: Simplify (- 2.0) into (- 2.0)
7.706 * [backup-simplify]: Simplify (+ 0 (- 2.0)) into (- 2.0)
7.706 * [backup-simplify]: Simplify (* 2.0 1) into 2.0
7.707 * [backup-simplify]: Simplify (+ 2.0 0) into 2.0
7.707 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
7.707 * [backup-simplify]: Simplify (* beta beta) into (pow beta 2)
7.707 * [backup-simplify]: Simplify (* 2.0 (pow beta 2)) into (* 2.0 (pow beta 2))
7.707 * [backup-simplify]: Simplify (* (- 2.0) (* 2.0 (pow beta 2))) into (* -4.0 (pow beta 2))
7.708 * [backup-simplify]: Simplify (/ 1 (* -4.0 (pow beta 2))) into (/ -0.25 (pow beta 2))
7.708 * [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
7.708 * [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
7.708 * [taylor]: Taking taylor expansion of 1.0 in beta
7.708 * [backup-simplify]: Simplify 1.0 into 1.0
7.708 * [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
7.708 * [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
7.708 * [taylor]: Taking taylor expansion of (pow alpha 2) in beta
7.708 * [taylor]: Taking taylor expansion of alpha in beta
7.708 * [backup-simplify]: Simplify alpha into alpha
7.708 * [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
7.708 * [taylor]: Taking taylor expansion of (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) in beta
7.708 * [taylor]: Taking taylor expansion of 2.0 in beta
7.708 * [backup-simplify]: Simplify 2.0 into 2.0
7.708 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in beta
7.708 * [taylor]: Taking taylor expansion of (/ 1 alpha) in beta
7.708 * [taylor]: Taking taylor expansion of alpha in beta
7.708 * [backup-simplify]: Simplify alpha into alpha
7.708 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
7.708 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in beta
7.708 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in beta
7.708 * [taylor]: Taking taylor expansion of 2.0 in beta
7.708 * [backup-simplify]: Simplify 2.0 into 2.0
7.708 * [taylor]: Taking taylor expansion of (/ 1 i) in beta
7.708 * [taylor]: Taking taylor expansion of i in beta
7.708 * [backup-simplify]: Simplify i into i
7.708 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
7.708 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
7.708 * [taylor]: Taking taylor expansion of beta in beta
7.708 * [backup-simplify]: Simplify 0 into 0
7.708 * [backup-simplify]: Simplify 1 into 1
7.708 * [backup-simplify]: Simplify (/ 1 1) into 1
7.708 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in beta
7.709 * [taylor]: Taking taylor expansion of (/ 1 alpha) in beta
7.709 * [taylor]: Taking taylor expansion of alpha in beta
7.709 * [backup-simplify]: Simplify alpha into alpha
7.709 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
7.709 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in beta
7.709 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in beta
7.709 * [taylor]: Taking taylor expansion of 2.0 in beta
7.709 * [backup-simplify]: Simplify 2.0 into 2.0
7.709 * [taylor]: Taking taylor expansion of (/ 1 i) in beta
7.709 * [taylor]: Taking taylor expansion of i in beta
7.709 * [backup-simplify]: Simplify i into i
7.709 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
7.709 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
7.709 * [taylor]: Taking taylor expansion of beta in beta
7.709 * [backup-simplify]: Simplify 0 into 0
7.709 * [backup-simplify]: Simplify 1 into 1
7.709 * [backup-simplify]: Simplify (/ 1 1) into 1
7.709 * [backup-simplify]: Simplify (* alpha alpha) into (pow alpha 2)
7.709 * [backup-simplify]: Simplify (+ 0 1) into 1
7.710 * [backup-simplify]: Simplify (+ 0 1) into 1
7.710 * [backup-simplify]: Simplify (- 1) into -1
7.710 * [backup-simplify]: Simplify (+ 0 -1) into -1
7.710 * [backup-simplify]: Simplify (+ 0 1) into 1
7.711 * [backup-simplify]: Simplify (+ 0 1) into 1
7.711 * [backup-simplify]: Simplify (* -1 1) into -1
7.711 * [backup-simplify]: Simplify (* (pow alpha 2) -1) into (* -1 (pow alpha 2))
7.711 * [backup-simplify]: Simplify (/ 1 (* -1 (pow alpha 2))) into (/ -1 (pow alpha 2))
7.711 * [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
7.711 * [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
7.711 * [taylor]: Taking taylor expansion of (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) in beta
7.711 * [taylor]: Taking taylor expansion of 2.0 in beta
7.711 * [backup-simplify]: Simplify 2.0 into 2.0
7.711 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in beta
7.711 * [taylor]: Taking taylor expansion of (/ 1 alpha) in beta
7.711 * [taylor]: Taking taylor expansion of alpha in beta
7.711 * [backup-simplify]: Simplify alpha into alpha
7.711 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
7.711 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in beta
7.711 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in beta
7.711 * [taylor]: Taking taylor expansion of 2.0 in beta
7.711 * [backup-simplify]: Simplify 2.0 into 2.0
7.711 * [taylor]: Taking taylor expansion of (/ 1 i) in beta
7.711 * [taylor]: Taking taylor expansion of i in beta
7.712 * [backup-simplify]: Simplify i into i
7.712 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
7.712 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
7.712 * [taylor]: Taking taylor expansion of beta in beta
7.712 * [backup-simplify]: Simplify 0 into 0
7.712 * [backup-simplify]: Simplify 1 into 1
7.712 * [backup-simplify]: Simplify (/ 1 1) into 1
7.712 * [taylor]: Taking taylor expansion of (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2)) in beta
7.712 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in beta
7.712 * [taylor]: Taking taylor expansion of (/ 1 alpha) in beta
7.712 * [taylor]: Taking taylor expansion of alpha in beta
7.712 * [backup-simplify]: Simplify alpha into alpha
7.712 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
7.712 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in beta
7.712 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in beta
7.712 * [taylor]: Taking taylor expansion of 2.0 in beta
7.712 * [backup-simplify]: Simplify 2.0 into 2.0
7.712 * [taylor]: Taking taylor expansion of (/ 1 i) in beta
7.712 * [taylor]: Taking taylor expansion of i in beta
7.712 * [backup-simplify]: Simplify i into i
7.712 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
7.712 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
7.712 * [taylor]: Taking taylor expansion of beta in beta
7.712 * [backup-simplify]: Simplify 0 into 0
7.712 * [backup-simplify]: Simplify 1 into 1
7.712 * [backup-simplify]: Simplify (/ 1 1) into 1
7.712 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
7.713 * [taylor]: Taking taylor expansion of beta in beta
7.713 * [backup-simplify]: Simplify 0 into 0
7.713 * [backup-simplify]: Simplify 1 into 1
7.713 * [backup-simplify]: Simplify (+ 0 1) into 1
7.713 * [backup-simplify]: Simplify (+ 0 1) into 1
7.713 * [backup-simplify]: Simplify (- 1) into -1
7.714 * [backup-simplify]: Simplify (+ 0 -1) into -1
7.714 * [backup-simplify]: Simplify (+ 0 1) into 1
7.714 * [backup-simplify]: Simplify (+ 0 1) into 1
7.714 * [backup-simplify]: Simplify (* 1 1) into 1
7.715 * [backup-simplify]: Simplify (* 1 1) into 1
7.715 * [backup-simplify]: Simplify (* -1 1) into -1
7.715 * [backup-simplify]: Simplify (/ 1 -1) into -1
7.715 * [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
7.715 * [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
7.715 * [taylor]: Taking taylor expansion of 1.0 in alpha
7.715 * [backup-simplify]: Simplify 1.0 into 1.0
7.715 * [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
7.715 * [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
7.715 * [taylor]: Taking taylor expansion of (pow alpha 2) in alpha
7.715 * [taylor]: Taking taylor expansion of alpha in alpha
7.715 * [backup-simplify]: Simplify 0 into 0
7.715 * [backup-simplify]: Simplify 1 into 1
7.715 * [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
7.715 * [taylor]: Taking taylor expansion of (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) in alpha
7.715 * [taylor]: Taking taylor expansion of 2.0 in alpha
7.715 * [backup-simplify]: Simplify 2.0 into 2.0
7.715 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in alpha
7.715 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
7.715 * [taylor]: Taking taylor expansion of alpha in alpha
7.715 * [backup-simplify]: Simplify 0 into 0
7.715 * [backup-simplify]: Simplify 1 into 1
7.716 * [backup-simplify]: Simplify (/ 1 1) into 1
7.716 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in alpha
7.716 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
7.716 * [taylor]: Taking taylor expansion of 2.0 in alpha
7.716 * [backup-simplify]: Simplify 2.0 into 2.0
7.716 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
7.716 * [taylor]: Taking taylor expansion of i in alpha
7.716 * [backup-simplify]: Simplify i into i
7.716 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
7.716 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
7.716 * [taylor]: Taking taylor expansion of beta in alpha
7.716 * [backup-simplify]: Simplify beta into beta
7.716 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
7.716 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in alpha
7.716 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
7.716 * [taylor]: Taking taylor expansion of alpha in alpha
7.716 * [backup-simplify]: Simplify 0 into 0
7.716 * [backup-simplify]: Simplify 1 into 1
7.716 * [backup-simplify]: Simplify (/ 1 1) into 1
7.716 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in alpha
7.716 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
7.716 * [taylor]: Taking taylor expansion of 2.0 in alpha
7.716 * [backup-simplify]: Simplify 2.0 into 2.0
7.716 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
7.716 * [taylor]: Taking taylor expansion of i in alpha
7.716 * [backup-simplify]: Simplify i into i
7.716 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
7.717 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
7.717 * [taylor]: Taking taylor expansion of beta in alpha
7.717 * [backup-simplify]: Simplify beta into beta
7.717 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
7.717 * [backup-simplify]: Simplify (* 1 1) into 1
7.717 * [backup-simplify]: Simplify (+ 1 0) into 1
7.717 * [backup-simplify]: Simplify (- 1) into -1
7.718 * [backup-simplify]: Simplify (+ 0 -1) into -1
7.718 * [backup-simplify]: Simplify (+ 1 0) into 1
7.718 * [backup-simplify]: Simplify (* -1 1) into -1
7.718 * [backup-simplify]: Simplify (* 1 -1) into -1
7.719 * [backup-simplify]: Simplify (/ 1 -1) into -1
7.719 * [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
7.719 * [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
7.719 * [taylor]: Taking taylor expansion of (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) in alpha
7.719 * [taylor]: Taking taylor expansion of 2.0 in alpha
7.719 * [backup-simplify]: Simplify 2.0 into 2.0
7.719 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in alpha
7.719 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
7.719 * [taylor]: Taking taylor expansion of alpha in alpha
7.719 * [backup-simplify]: Simplify 0 into 0
7.719 * [backup-simplify]: Simplify 1 into 1
7.719 * [backup-simplify]: Simplify (/ 1 1) into 1
7.719 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in alpha
7.719 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
7.719 * [taylor]: Taking taylor expansion of 2.0 in alpha
7.719 * [backup-simplify]: Simplify 2.0 into 2.0
7.719 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
7.719 * [taylor]: Taking taylor expansion of i in alpha
7.719 * [backup-simplify]: Simplify i into i
7.719 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
7.719 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
7.719 * [taylor]: Taking taylor expansion of beta in alpha
7.719 * [backup-simplify]: Simplify beta into beta
7.719 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
7.719 * [taylor]: Taking taylor expansion of (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2)) in alpha
7.719 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in alpha
7.719 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
7.719 * [taylor]: Taking taylor expansion of alpha in alpha
7.719 * [backup-simplify]: Simplify 0 into 0
7.719 * [backup-simplify]: Simplify 1 into 1
7.720 * [backup-simplify]: Simplify (/ 1 1) into 1
7.720 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in alpha
7.720 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
7.720 * [taylor]: Taking taylor expansion of 2.0 in alpha
7.720 * [backup-simplify]: Simplify 2.0 into 2.0
7.720 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
7.720 * [taylor]: Taking taylor expansion of i in alpha
7.720 * [backup-simplify]: Simplify i into i
7.720 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
7.720 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
7.720 * [taylor]: Taking taylor expansion of beta in alpha
7.720 * [backup-simplify]: Simplify beta into beta
7.720 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
7.720 * [taylor]: Taking taylor expansion of (pow beta 2) in alpha
7.720 * [taylor]: Taking taylor expansion of beta in alpha
7.720 * [backup-simplify]: Simplify beta into beta
7.720 * [backup-simplify]: Simplify (+ 1 0) into 1
7.720 * [backup-simplify]: Simplify (- 1) into -1
7.721 * [backup-simplify]: Simplify (+ 0 -1) into -1
7.721 * [backup-simplify]: Simplify (+ 1 0) into 1
7.721 * [backup-simplify]: Simplify (* beta beta) into (pow beta 2)
7.721 * [backup-simplify]: Simplify (* 1 (pow beta 2)) into (pow beta 2)
7.721 * [backup-simplify]: Simplify (* -1 (pow beta 2)) into (* -1 (pow beta 2))
7.721 * [backup-simplify]: Simplify (/ 1 (* -1 (pow beta 2))) into (/ -1 (pow beta 2))
7.721 * [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
7.721 * [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
7.721 * [taylor]: Taking taylor expansion of 1.0 in alpha
7.722 * [backup-simplify]: Simplify 1.0 into 1.0
7.722 * [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
7.722 * [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
7.722 * [taylor]: Taking taylor expansion of (pow alpha 2) in alpha
7.722 * [taylor]: Taking taylor expansion of alpha in alpha
7.722 * [backup-simplify]: Simplify 0 into 0
7.722 * [backup-simplify]: Simplify 1 into 1
7.722 * [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
7.722 * [taylor]: Taking taylor expansion of (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) in alpha
7.722 * [taylor]: Taking taylor expansion of 2.0 in alpha
7.722 * [backup-simplify]: Simplify 2.0 into 2.0
7.722 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in alpha
7.722 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
7.722 * [taylor]: Taking taylor expansion of alpha in alpha
7.722 * [backup-simplify]: Simplify 0 into 0
7.722 * [backup-simplify]: Simplify 1 into 1
7.722 * [backup-simplify]: Simplify (/ 1 1) into 1
7.722 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in alpha
7.722 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
7.722 * [taylor]: Taking taylor expansion of 2.0 in alpha
7.722 * [backup-simplify]: Simplify 2.0 into 2.0
7.722 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
7.722 * [taylor]: Taking taylor expansion of i in alpha
7.722 * [backup-simplify]: Simplify i into i
7.722 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
7.722 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
7.722 * [taylor]: Taking taylor expansion of beta in alpha
7.722 * [backup-simplify]: Simplify beta into beta
7.722 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
7.722 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in alpha
7.722 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
7.722 * [taylor]: Taking taylor expansion of alpha in alpha
7.722 * [backup-simplify]: Simplify 0 into 0
7.722 * [backup-simplify]: Simplify 1 into 1
7.723 * [backup-simplify]: Simplify (/ 1 1) into 1
7.723 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in alpha
7.723 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
7.723 * [taylor]: Taking taylor expansion of 2.0 in alpha
7.723 * [backup-simplify]: Simplify 2.0 into 2.0
7.723 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
7.723 * [taylor]: Taking taylor expansion of i in alpha
7.723 * [backup-simplify]: Simplify i into i
7.723 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
7.723 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
7.723 * [taylor]: Taking taylor expansion of beta in alpha
7.723 * [backup-simplify]: Simplify beta into beta
7.723 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
7.723 * [backup-simplify]: Simplify (* 1 1) into 1
7.723 * [backup-simplify]: Simplify (+ 1 0) into 1
7.724 * [backup-simplify]: Simplify (- 1) into -1
7.724 * [backup-simplify]: Simplify (+ 0 -1) into -1
7.724 * [backup-simplify]: Simplify (+ 1 0) into 1
7.724 * [backup-simplify]: Simplify (* -1 1) into -1
7.725 * [backup-simplify]: Simplify (* 1 -1) into -1
7.725 * [backup-simplify]: Simplify (/ 1 -1) into -1
7.725 * [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
7.725 * [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
7.725 * [taylor]: Taking taylor expansion of (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) in alpha
7.725 * [taylor]: Taking taylor expansion of 2.0 in alpha
7.725 * [backup-simplify]: Simplify 2.0 into 2.0
7.725 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in alpha
7.725 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
7.725 * [taylor]: Taking taylor expansion of alpha in alpha
7.725 * [backup-simplify]: Simplify 0 into 0
7.725 * [backup-simplify]: Simplify 1 into 1
7.725 * [backup-simplify]: Simplify (/ 1 1) into 1
7.725 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in alpha
7.725 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
7.725 * [taylor]: Taking taylor expansion of 2.0 in alpha
7.725 * [backup-simplify]: Simplify 2.0 into 2.0
7.725 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
7.725 * [taylor]: Taking taylor expansion of i in alpha
7.726 * [backup-simplify]: Simplify i into i
7.726 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
7.726 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
7.726 * [taylor]: Taking taylor expansion of beta in alpha
7.726 * [backup-simplify]: Simplify beta into beta
7.726 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
7.726 * [taylor]: Taking taylor expansion of (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2)) in alpha
7.726 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in alpha
7.726 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
7.726 * [taylor]: Taking taylor expansion of alpha in alpha
7.726 * [backup-simplify]: Simplify 0 into 0
7.726 * [backup-simplify]: Simplify 1 into 1
7.726 * [backup-simplify]: Simplify (/ 1 1) into 1
7.726 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in alpha
7.726 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
7.726 * [taylor]: Taking taylor expansion of 2.0 in alpha
7.726 * [backup-simplify]: Simplify 2.0 into 2.0
7.726 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
7.726 * [taylor]: Taking taylor expansion of i in alpha
7.726 * [backup-simplify]: Simplify i into i
7.726 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
7.726 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
7.726 * [taylor]: Taking taylor expansion of beta in alpha
7.726 * [backup-simplify]: Simplify beta into beta
7.726 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
7.726 * [taylor]: Taking taylor expansion of (pow beta 2) in alpha
7.726 * [taylor]: Taking taylor expansion of beta in alpha
7.726 * [backup-simplify]: Simplify beta into beta
7.727 * [backup-simplify]: Simplify (+ 1 0) into 1
7.727 * [backup-simplify]: Simplify (- 1) into -1
7.727 * [backup-simplify]: Simplify (+ 0 -1) into -1
7.727 * [backup-simplify]: Simplify (+ 1 0) into 1
7.728 * [backup-simplify]: Simplify (* beta beta) into (pow beta 2)
7.728 * [backup-simplify]: Simplify (* 1 (pow beta 2)) into (pow beta 2)
7.728 * [backup-simplify]: Simplify (* -1 (pow beta 2)) into (* -1 (pow beta 2))
7.728 * [backup-simplify]: Simplify (/ 1 (* -1 (pow beta 2))) into (/ -1 (pow beta 2))
7.728 * [backup-simplify]: Simplify (+ 1.0 -1) into 0
7.728 * [backup-simplify]: Simplify (+ 0 0) into 0
7.728 * [taylor]: Taking taylor expansion of 0 in beta
7.728 * [backup-simplify]: Simplify 0 into 0
7.728 * [taylor]: Taking taylor expansion of 0 in i
7.729 * [backup-simplify]: Simplify 0 into 0
7.729 * [backup-simplify]: Simplify 0 into 0
7.729 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.729 * [backup-simplify]: Simplify (* 2.0 (/ 1 i)) into (/ 2.0 i)
7.729 * [backup-simplify]: Simplify (+ (/ 2.0 i) (/ 1 beta)) into (+ (* 2.0 (/ 1 i)) (/ 1 beta))
7.729 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 (/ 1 i)) (/ 1 beta))) into (+ (* 2.0 (/ 1 i)) (/ 1 beta))
7.730 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.730 * [backup-simplify]: Simplify (* 2.0 (/ 1 i)) into (/ 2.0 i)
7.730 * [backup-simplify]: Simplify (+ (/ 2.0 i) (/ 1 beta)) into (+ (* 2.0 (/ 1 i)) (/ 1 beta))
7.730 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 (/ 1 i)) (/ 1 beta))) into (+ (* 2.0 (/ 1 i)) (/ 1 beta))
7.730 * [backup-simplify]: Simplify (- (+ (* 2.0 (/ 1 i)) (/ 1 beta))) into (- (+ (* 2.0 (/ 1 i)) (/ 1 beta)))
7.730 * [backup-simplify]: Simplify (+ 2.0 (- (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) into (- 2.0 (+ (* 2.0 (/ 1 i)) (/ 1 beta)))
7.731 * [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))))
7.731 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.731 * [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))))
7.732 * [backup-simplify]: Simplify (- (+ (* -1 (/ (- 2.0 (+ (* 4.0 (/ 1 i)) (* 2 (/ 1 beta)))) -1)))) into (- (+ (* 4.0 (/ 1 i)) (* 2 (/ 1 beta))) 2.0)
7.732 * [backup-simplify]: Simplify (+ 0 (- (+ (* 4.0 (/ 1 i)) (* 2 (/ 1 beta))) 2.0)) into (- (+ (* 4.0 (/ 1 i)) (* 2 (/ 1 beta))) 2.0)
7.732 * [backup-simplify]: Simplify (+ (- (+ (* 4.0 (/ 1 i)) (* 2 (/ 1 beta))) 2.0) 0) into (- (+ (* 4.0 (/ 1 i)) (* 2 (/ 1 beta))) 2.0)
7.732 * [taylor]: Taking taylor expansion of (- (+ (* 4.0 (/ 1 i)) (* 2 (/ 1 beta))) 2.0) in beta
7.732 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 i)) (* 2 (/ 1 beta))) in beta
7.732 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 i)) in beta
7.732 * [taylor]: Taking taylor expansion of 4.0 in beta
7.732 * [backup-simplify]: Simplify 4.0 into 4.0
7.732 * [taylor]: Taking taylor expansion of (/ 1 i) in beta
7.732 * [taylor]: Taking taylor expansion of i in beta
7.732 * [backup-simplify]: Simplify i into i
7.732 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
7.732 * [taylor]: Taking taylor expansion of (* 2 (/ 1 beta)) in beta
7.732 * [taylor]: Taking taylor expansion of 2 in beta
7.732 * [backup-simplify]: Simplify 2 into 2
7.732 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
7.732 * [taylor]: Taking taylor expansion of beta in beta
7.732 * [backup-simplify]: Simplify 0 into 0
7.732 * [backup-simplify]: Simplify 1 into 1
7.733 * [backup-simplify]: Simplify (/ 1 1) into 1
7.733 * [taylor]: Taking taylor expansion of 2.0 in beta
7.733 * [backup-simplify]: Simplify 2.0 into 2.0
7.733 * [backup-simplify]: Simplify (* 4.0 (/ 1 i)) into (/ 4.0 i)
7.733 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.734 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0
7.734 * [backup-simplify]: Simplify (+ (/ 4.0 i) 0) into (* 4.0 (/ 1 i))
7.734 * [backup-simplify]: Simplify (- 2.0) into (- 2.0)
7.734 * [backup-simplify]: Simplify (+ (* 4.0 (/ 1 i)) (- 2.0)) into (- (* 4.0 (/ 1 i)) 2.0)
7.734 * [taylor]: Taking taylor expansion of (- (* 4.0 (/ 1 i)) 2.0) in i
7.734 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 i)) in i
7.734 * [taylor]: Taking taylor expansion of 4.0 in i
7.734 * [backup-simplify]: Simplify 4.0 into 4.0
7.734 * [taylor]: Taking taylor expansion of (/ 1 i) in i
7.734 * [taylor]: Taking taylor expansion of i in i
7.734 * [backup-simplify]: Simplify 0 into 0
7.734 * [backup-simplify]: Simplify 1 into 1
7.735 * [backup-simplify]: Simplify (/ 1 1) into 1
7.735 * [taylor]: Taking taylor expansion of 2.0 in i
7.735 * [backup-simplify]: Simplify 2.0 into 2.0
7.735 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.735 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 1)) into 0
7.736 * [backup-simplify]: Simplify (- 2.0) into (- 2.0)
7.736 * [backup-simplify]: Simplify (+ 0 (- 2.0)) into (- 2.0)
7.737 * [backup-simplify]: Simplify (- 2.0) into (- 2.0)
7.737 * [taylor]: Taking taylor expansion of 0 in i
7.737 * [backup-simplify]: Simplify 0 into 0
7.737 * [backup-simplify]: Simplify 0 into 0
7.737 * [backup-simplify]: Simplify 0 into 0
7.737 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.737 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
7.738 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 (/ 1 i))) into 0
7.738 * [backup-simplify]: Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
7.738 * [backup-simplify]: Simplify (+ 0 0) into 0
7.738 * [backup-simplify]: Simplify (+ 0 0) into 0
7.739 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.739 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
7.739 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 (/ 1 i))) into 0
7.739 * [backup-simplify]: Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
7.739 * [backup-simplify]: Simplify (+ 0 0) into 0
7.740 * [backup-simplify]: Simplify (+ 0 0) into 0
7.740 * [backup-simplify]: Simplify (- 0) into 0
7.740 * [backup-simplify]: Simplify (+ 0 0) into 0
7.741 * [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)))))
7.742 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.743 * [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)))))
7.744 * [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))))
7.745 * [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))))
7.745 * [backup-simplify]: Simplify (- (/ -1 (pow beta 2))) into (/ 1 (pow beta 2))
7.745 * [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))))
7.745 * [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
7.745 * [taylor]: Taking taylor expansion of (+ (* 12.0 (/ 1 i)) (* 6.0 (/ 1 beta))) in beta
7.746 * [taylor]: Taking taylor expansion of (* 12.0 (/ 1 i)) in beta
7.746 * [taylor]: Taking taylor expansion of 12.0 in beta
7.746 * [backup-simplify]: Simplify 12.0 into 12.0
7.746 * [taylor]: Taking taylor expansion of (/ 1 i) in beta
7.746 * [taylor]: Taking taylor expansion of i in beta
7.746 * [backup-simplify]: Simplify i into i
7.746 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
7.746 * [taylor]: Taking taylor expansion of (* 6.0 (/ 1 beta)) in beta
7.746 * [taylor]: Taking taylor expansion of 6.0 in beta
7.746 * [backup-simplify]: Simplify 6.0 into 6.0
7.746 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
7.746 * [taylor]: Taking taylor expansion of beta in beta
7.746 * [backup-simplify]: Simplify 0 into 0
7.746 * [backup-simplify]: Simplify 1 into 1
7.750 * [backup-simplify]: Simplify (/ 1 1) into 1
7.750 * [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
7.750 * [taylor]: Taking taylor expansion of (* 12.0 (/ 1 (pow i 2))) in beta
7.750 * [taylor]: Taking taylor expansion of 12.0 in beta
7.750 * [backup-simplify]: Simplify 12.0 into 12.0
7.751 * [taylor]: Taking taylor expansion of (/ 1 (pow i 2)) in beta
7.751 * [taylor]: Taking taylor expansion of (pow i 2) in beta
7.751 * [taylor]: Taking taylor expansion of i in beta
7.751 * [backup-simplify]: Simplify i into i
7.751 * [backup-simplify]: Simplify (* i i) into (pow i 2)
7.751 * [backup-simplify]: Simplify (/ 1 (pow i 2)) into (/ 1 (pow i 2))
7.751 * [taylor]: Taking taylor expansion of (+ (* 12.0 (/ 1 (* i beta))) (+ (* 2 (/ 1 (pow beta 2))) 4.0)) in beta
7.751 * [taylor]: Taking taylor expansion of (* 12.0 (/ 1 (* i beta))) in beta
7.751 * [taylor]: Taking taylor expansion of 12.0 in beta
7.751 * [backup-simplify]: Simplify 12.0 into 12.0
7.751 * [taylor]: Taking taylor expansion of (/ 1 (* i beta)) in beta
7.751 * [taylor]: Taking taylor expansion of (* i beta) in beta
7.751 * [taylor]: Taking taylor expansion of i in beta
7.751 * [backup-simplify]: Simplify i into i
7.751 * [taylor]: Taking taylor expansion of beta in beta
7.751 * [backup-simplify]: Simplify 0 into 0
7.751 * [backup-simplify]: Simplify 1 into 1
7.751 * [backup-simplify]: Simplify (* i 0) into 0
7.751 * [backup-simplify]: Simplify (+ (* i 1) (* 0 0)) into i
7.752 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
7.752 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (pow beta 2))) 4.0) in beta
7.752 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow beta 2))) in beta
7.752 * [taylor]: Taking taylor expansion of 2 in beta
7.752 * [backup-simplify]: Simplify 2 into 2
7.752 * [taylor]: Taking taylor expansion of (/ 1 (pow beta 2)) in beta
7.752 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
7.752 * [taylor]: Taking taylor expansion of beta in beta
7.752 * [backup-simplify]: Simplify 0 into 0
7.752 * [backup-simplify]: Simplify 1 into 1
7.752 * [backup-simplify]: Simplify (* 1 1) into 1
7.752 * [backup-simplify]: Simplify (/ 1 1) into 1
7.752 * [taylor]: Taking taylor expansion of 4.0 in beta
7.752 * [backup-simplify]: Simplify 4.0 into 4.0
7.752 * [backup-simplify]: Simplify (* 12.0 (/ 1 i)) into (/ 12.0 i)
7.753 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.753 * [backup-simplify]: Simplify (+ (* 6.0 0) (* 0 1)) into 0
7.753 * [backup-simplify]: Simplify (+ (/ 12.0 i) 0) into (* 12.0 (/ 1 i))
7.753 * [backup-simplify]: Simplify (* 12.0 (/ 1 (pow i 2))) into (/ 12.0 (pow i 2))
7.754 * [backup-simplify]: Simplify (+ (* i 0) (+ (* 0 1) (* 0 0))) into 0
7.754 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
7.754 * [backup-simplify]: Simplify (+ (* 12.0 0) (* 0 (/ 1 i))) into 0
7.756 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.756 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.757 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.758 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.759 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0
7.759 * [backup-simplify]: Simplify (+ 0 4.0) into 4.0
7.759 * [backup-simplify]: Simplify (+ 0 4.0) into 4.0
7.760 * [backup-simplify]: Simplify (+ (/ 12.0 (pow i 2)) 4.0) into (+ (* 12.0 (/ 1 (pow i 2))) 4.0)
7.760 * [backup-simplify]: Simplify (- (+ (* 12.0 (/ 1 (pow i 2))) 4.0)) into (- (+ (* 12.0 (/ 1 (pow i 2))) 4.0))
7.760 * [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))
7.760 * [taylor]: Taking taylor expansion of (- (* 12.0 (/ 1 i)) (+ (* 12.0 (/ 1 (pow i 2))) 4.0)) in i
7.761 * [taylor]: Taking taylor expansion of (* 12.0 (/ 1 i)) in i
7.761 * [taylor]: Taking taylor expansion of 12.0 in i
7.761 * [backup-simplify]: Simplify 12.0 into 12.0
7.761 * [taylor]: Taking taylor expansion of (/ 1 i) in i
7.761 * [taylor]: Taking taylor expansion of i in i
7.761 * [backup-simplify]: Simplify 0 into 0
7.761 * [backup-simplify]: Simplify 1 into 1
7.761 * [backup-simplify]: Simplify (/ 1 1) into 1
7.761 * [taylor]: Taking taylor expansion of (+ (* 12.0 (/ 1 (pow i 2))) 4.0) in i
7.761 * [taylor]: Taking taylor expansion of (* 12.0 (/ 1 (pow i 2))) in i
7.761 * [taylor]: Taking taylor expansion of 12.0 in i
7.761 * [backup-simplify]: Simplify 12.0 into 12.0
7.761 * [taylor]: Taking taylor expansion of (/ 1 (pow i 2)) in i
7.761 * [taylor]: Taking taylor expansion of (pow i 2) in i
7.761 * [taylor]: Taking taylor expansion of i in i
7.761 * [backup-simplify]: Simplify 0 into 0
7.761 * [backup-simplify]: Simplify 1 into 1
7.762 * [backup-simplify]: Simplify (* 1 1) into 1
7.762 * [backup-simplify]: Simplify (/ 1 1) into 1
7.762 * [taylor]: Taking taylor expansion of 4.0 in i
7.762 * [backup-simplify]: Simplify 4.0 into 4.0
7.763 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.764 * [backup-simplify]: Simplify (+ (* 12.0 0) (* 0 1)) into 0
7.765 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.765 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.766 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.767 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.768 * [backup-simplify]: Simplify (+ (* 12.0 0) (+ (* 0 0) (* 0 1))) into 0
7.768 * [backup-simplify]: Simplify (+ 0 4.0) into 4.0
7.768 * [backup-simplify]: Simplify (- 4.0) into (- 4.0)
7.769 * [backup-simplify]: Simplify (+ 0 (- 4.0)) into (- 4.0)
7.770 * [backup-simplify]: Simplify (- 4.0) into (- 4.0)
7.770 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
7.770 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 i))) into 0
7.771 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.772 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0
7.772 * [backup-simplify]: Simplify (+ 0 0) into 0
7.773 * [backup-simplify]: Simplify (- 0) into 0
7.773 * [backup-simplify]: Simplify (+ 0 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 * [taylor]: Taking taylor expansion of 0 in i
7.773 * [backup-simplify]: Simplify 0 into 0
7.773 * [backup-simplify]: Simplify 0 into 0
7.774 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.775 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 1))) into 0
7.775 * [backup-simplify]: Simplify (- 0) into 0
7.776 * [backup-simplify]: Simplify (+ 0 0) into 0
7.776 * [backup-simplify]: Simplify 0 into 0
7.776 * [backup-simplify]: Simplify 0 into 0
7.776 * [backup-simplify]: Simplify 0 into 0
7.776 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.776 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)) (* 0 (/ 0 i)))) into 0
7.777 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 (/ 1 i)))) into 0
7.777 * [backup-simplify]: Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
7.777 * [backup-simplify]: Simplify (+ 0 0) into 0
7.777 * [backup-simplify]: Simplify (+ 0 0) into 0
7.778 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.778 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)) (* 0 (/ 0 i)))) into 0
7.779 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 (/ 1 i)))) into 0
7.779 * [backup-simplify]: Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
7.779 * [backup-simplify]: Simplify (+ 0 0) into 0
7.779 * [backup-simplify]: Simplify (+ 0 0) into 0
7.779 * [backup-simplify]: Simplify (- 0) into 0
7.780 * [backup-simplify]: Simplify (+ 0 0) into 0
7.780 * [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
7.781 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.782 * [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
7.785 * [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))))
7.787 * [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))))
7.787 * [backup-simplify]: Simplify (+ (* beta 0) (* 0 beta)) into 0
7.787 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.787 * [backup-simplify]: Simplify (* 2.0 (/ 1 i)) into (/ 2.0 i)
7.788 * [backup-simplify]: Simplify (+ (/ 2.0 i) (/ 1 beta)) into (+ (* 2.0 (/ 1 i)) (/ 1 beta))
7.788 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 (/ 1 i)) (/ 1 beta))) into (+ (* 2.0 (/ 1 i)) (/ 1 beta))
7.788 * [backup-simplify]: Simplify (+ (* 1 0) (* (+ (* 2.0 (/ 1 i)) (/ 1 beta)) (pow beta 2))) into (+ (* 2.0 (/ (pow beta 2) i)) beta)
7.789 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.789 * [backup-simplify]: Simplify (* 2.0 (/ 1 i)) into (/ 2.0 i)
7.789 * [backup-simplify]: Simplify (+ (/ 2.0 i) (/ 1 beta)) into (+ (* 2.0 (/ 1 i)) (/ 1 beta))
7.789 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 (/ 1 i)) (/ 1 beta))) into (+ (* 2.0 (/ 1 i)) (/ 1 beta))
7.789 * [backup-simplify]: Simplify (- (+ (* 2.0 (/ 1 i)) (/ 1 beta))) into (- (+ (* 2.0 (/ 1 i)) (/ 1 beta)))
7.789 * [backup-simplify]: Simplify (+ 2.0 (- (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) into (- 2.0 (+ (* 2.0 (/ 1 i)) (/ 1 beta)))
7.790 * [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)))
7.790 * [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))))
7.791 * [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)))))
7.793 * [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)))))))
7.793 * [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
7.793 * [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
7.793 * [taylor]: Taking taylor expansion of (* 20.0 (/ 1 (* i (pow beta 2)))) in beta
7.793 * [taylor]: Taking taylor expansion of 20.0 in beta
7.793 * [backup-simplify]: Simplify 20.0 into 20.0
7.793 * [taylor]: Taking taylor expansion of (/ 1 (* i (pow beta 2))) in beta
7.793 * [taylor]: Taking taylor expansion of (* i (pow beta 2)) in beta
7.793 * [taylor]: Taking taylor expansion of i in beta
7.793 * [backup-simplify]: Simplify i into i
7.793 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
7.793 * [taylor]: Taking taylor expansion of beta in beta
7.793 * [backup-simplify]: Simplify 0 into 0
7.793 * [backup-simplify]: Simplify 1 into 1
7.794 * [backup-simplify]: Simplify (* 1 1) into 1
7.794 * [backup-simplify]: Simplify (* i 1) into i
7.794 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
7.794 * [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
7.794 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow beta 3))) in beta
7.794 * [taylor]: Taking taylor expansion of 2 in beta
7.794 * [backup-simplify]: Simplify 2 into 2
7.794 * [taylor]: Taking taylor expansion of (/ 1 (pow beta 3)) in beta
7.794 * [taylor]: Taking taylor expansion of (pow beta 3) in beta
7.794 * [taylor]: Taking taylor expansion of beta in beta
7.794 * [backup-simplify]: Simplify 0 into 0
7.794 * [backup-simplify]: Simplify 1 into 1
7.794 * [backup-simplify]: Simplify (* 1 1) into 1
7.795 * [backup-simplify]: Simplify (* 1 1) into 1
7.795 * [backup-simplify]: Simplify (/ 1 1) into 1
7.795 * [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
7.795 * [taylor]: Taking taylor expansion of (* 48.0 (/ 1 (* (pow i 2) beta))) in beta
7.795 * [taylor]: Taking taylor expansion of 48.0 in beta
7.795 * [backup-simplify]: Simplify 48.0 into 48.0
7.795 * [taylor]: Taking taylor expansion of (/ 1 (* (pow i 2) beta)) in beta
7.795 * [taylor]: Taking taylor expansion of (* (pow i 2) beta) in beta
7.795 * [taylor]: Taking taylor expansion of (pow i 2) in beta
7.795 * [taylor]: Taking taylor expansion of i in beta
7.795 * [backup-simplify]: Simplify i into i
7.795 * [taylor]: Taking taylor expansion of beta in beta
7.795 * [backup-simplify]: Simplify 0 into 0
7.795 * [backup-simplify]: Simplify 1 into 1
7.795 * [backup-simplify]: Simplify (* i i) into (pow i 2)
7.795 * [backup-simplify]: Simplify (* (pow i 2) 0) into 0
7.795 * [backup-simplify]: Simplify (+ (* i 0) (* 0 i)) into 0
7.796 * [backup-simplify]: Simplify (+ (* (pow i 2) 1) (* 0 0)) into (pow i 2)
7.796 * [backup-simplify]: Simplify (/ 1 (pow i 2)) into (/ 1 (pow i 2))
7.796 * [taylor]: Taking taylor expansion of (+ (* 32.0 (/ 1 i)) (+ (* 16.0 (/ 1 beta)) (* 32.0 (/ 1 (pow i 3))))) in beta
7.796 * [taylor]: Taking taylor expansion of (* 32.0 (/ 1 i)) in beta
7.796 * [taylor]: Taking taylor expansion of 32.0 in beta
7.796 * [backup-simplify]: Simplify 32.0 into 32.0
7.796 * [taylor]: Taking taylor expansion of (/ 1 i) in beta
7.796 * [taylor]: Taking taylor expansion of i in beta
7.796 * [backup-simplify]: Simplify i into i
7.796 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
7.796 * [taylor]: Taking taylor expansion of (+ (* 16.0 (/ 1 beta)) (* 32.0 (/ 1 (pow i 3)))) in beta
7.796 * [taylor]: Taking taylor expansion of (* 16.0 (/ 1 beta)) in beta
7.796 * [taylor]: Taking taylor expansion of 16.0 in beta
7.796 * [backup-simplify]: Simplify 16.0 into 16.0
7.796 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
7.796 * [taylor]: Taking taylor expansion of beta in beta
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
7.796 * [taylor]: Taking taylor expansion of (* 32.0 (/ 1 (pow i 3))) in beta
7.796 * [taylor]: Taking taylor expansion of 32.0 in beta
7.797 * [backup-simplify]: Simplify 32.0 into 32.0
7.797 * [taylor]: Taking taylor expansion of (/ 1 (pow i 3)) in beta
7.797 * [taylor]: Taking taylor expansion of (pow i 3) in beta
7.797 * [taylor]: Taking taylor expansion of i in beta
7.797 * [backup-simplify]: Simplify i into i
7.797 * [backup-simplify]: Simplify (* i i) into (pow i 2)
7.797 * [backup-simplify]: Simplify (* i (pow i 2)) into (pow i 3)
7.797 * [backup-simplify]: Simplify (/ 1 (pow i 3)) into (/ 1 (pow i 3))
7.797 * [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
7.797 * [taylor]: Taking taylor expansion of (* 10.0 (/ 1 (pow beta 2))) in beta
7.797 * [taylor]: Taking taylor expansion of 10.0 in beta
7.797 * [backup-simplify]: Simplify 10.0 into 10.0
7.797 * [taylor]: Taking taylor expansion of (/ 1 (pow beta 2)) in beta
7.797 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
7.797 * [taylor]: Taking taylor expansion of beta in beta
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 * [backup-simplify]: Simplify (/ 1 1) into 1
7.797 * [taylor]: Taking taylor expansion of (+ 8.0 (+ (* 48.0 (/ 1 (pow i 2))) (* 48.0 (/ 1 (* i beta))))) in beta
7.798 * [taylor]: Taking taylor expansion of 8.0 in beta
7.798 * [backup-simplify]: Simplify 8.0 into 8.0
7.798 * [taylor]: Taking taylor expansion of (+ (* 48.0 (/ 1 (pow i 2))) (* 48.0 (/ 1 (* i beta)))) in beta
7.798 * [taylor]: Taking taylor expansion of (* 48.0 (/ 1 (pow i 2))) in beta
7.798 * [taylor]: Taking taylor expansion of 48.0 in beta
7.798 * [backup-simplify]: Simplify 48.0 into 48.0
7.798 * [taylor]: Taking taylor expansion of (/ 1 (pow i 2)) in beta
7.798 * [taylor]: Taking taylor expansion of (pow i 2) in beta
7.798 * [taylor]: Taking taylor expansion of i in beta
7.798 * [backup-simplify]: Simplify i into i
7.798 * [backup-simplify]: Simplify (* i i) into (pow i 2)
7.798 * [backup-simplify]: Simplify (/ 1 (pow i 2)) into (/ 1 (pow i 2))
7.798 * [taylor]: Taking taylor expansion of (* 48.0 (/ 1 (* i beta))) in beta
7.798 * [taylor]: Taking taylor expansion of 48.0 in beta
7.798 * [backup-simplify]: Simplify 48.0 into 48.0
7.798 * [taylor]: Taking taylor expansion of (/ 1 (* i beta)) in beta
7.798 * [taylor]: Taking taylor expansion of (* i beta) in beta
7.798 * [taylor]: Taking taylor expansion of i in beta
7.798 * [backup-simplify]: Simplify i into i
7.798 * [taylor]: Taking taylor expansion of beta in beta
7.798 * [backup-simplify]: Simplify 0 into 0
7.798 * [backup-simplify]: Simplify 1 into 1
7.798 * [backup-simplify]: Simplify (* i 0) into 0
7.798 * [backup-simplify]: Simplify (+ (* i 1) (* 0 0)) into i
7.798 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
7.799 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.799 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.800 * [backup-simplify]: Simplify (+ (* i 0) (+ (* 0 0) (* 0 1))) into 0
7.800 * [backup-simplify]: Simplify (+ (* i 0) (* 0 1)) into 0
7.800 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
7.800 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)) (* 0 (/ 0 i)))) into 0
7.801 * [backup-simplify]: Simplify (+ (* 20.0 0) (+ (* 0 0) (* 0 (/ 1 i)))) into 0
7.801 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.802 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.802 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.803 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.803 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.804 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.804 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.805 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.805 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.806 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.806 * [backup-simplify]: Simplify (+ (* i 0) (+ (* 0 0) (* 0 i))) into 0
7.807 * [backup-simplify]: Simplify (+ (* (pow i 2) 0) (+ (* 0 1) (* 0 0))) into 0
7.807 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow i 2)) (/ 0 (pow i 2))))) into 0
7.808 * [backup-simplify]: Simplify (+ (* 48.0 0) (* 0 (/ 1 (pow i 2)))) into 0
7.808 * [backup-simplify]: Simplify (* 32.0 (/ 1 i)) into (/ 32.0 i)
7.809 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.809 * [backup-simplify]: Simplify (+ (* 16.0 0) (* 0 1)) into 0
7.809 * [backup-simplify]: Simplify (* 32.0 (/ 1 (pow i 3))) into (/ 32.0 (pow i 3))
7.810 * [backup-simplify]: Simplify (+ 0 (/ 32.0 (pow i 3))) into (* 32.0 (/ 1 (pow i 3)))
7.810 * [backup-simplify]: Simplify (+ (/ 32.0 i) (* 32.0 (/ 1 (pow i 3)))) into (+ (* 32.0 (/ 1 i)) (* 32.0 (/ 1 (pow i 3))))
7.810 * [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)))
7.811 * [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)))
7.811 * [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)))
7.812 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.812 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.813 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.814 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.815 * [backup-simplify]: Simplify (+ (* 10.0 0) (+ (* 0 0) (* 0 1))) into 0
7.815 * [backup-simplify]: Simplify (* 48.0 (/ 1 (pow i 2))) into (/ 48.0 (pow i 2))
7.816 * [backup-simplify]: Simplify (+ (* i 0) (+ (* 0 1) (* 0 0))) into 0
7.816 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
7.816 * [backup-simplify]: Simplify (+ (* 48.0 0) (* 0 (/ 1 i))) into 0
7.816 * [backup-simplify]: Simplify (+ (/ 48.0 (pow i 2)) 0) into (* 48.0 (/ 1 (pow i 2)))
7.817 * [backup-simplify]: Simplify (+ 8.0 (* 48.0 (/ 1 (pow i 2)))) into (+ (* 48.0 (/ 1 (pow i 2))) 8.0)
7.817 * [backup-simplify]: Simplify (+ 0 (+ (* 48.0 (/ 1 (pow i 2))) 8.0)) into (+ (* 48.0 (/ 1 (pow i 2))) 8.0)
7.817 * [backup-simplify]: Simplify (- (+ (* 48.0 (/ 1 (pow i 2))) 8.0)) into (- (+ (* 48.0 (/ 1 (pow i 2))) 8.0))
7.817 * [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)))))
7.817 * [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
7.817 * [taylor]: Taking taylor expansion of (+ (* 32.0 (/ 1 i)) (* 32.0 (/ 1 (pow i 3)))) in i
7.817 * [taylor]: Taking taylor expansion of (* 32.0 (/ 1 i)) in i
7.817 * [taylor]: Taking taylor expansion of 32.0 in i
7.817 * [backup-simplify]: Simplify 32.0 into 32.0
7.817 * [taylor]: Taking taylor expansion of (/ 1 i) in i
7.817 * [taylor]: Taking taylor expansion of i in i
7.817 * [backup-simplify]: Simplify 0 into 0
7.817 * [backup-simplify]: Simplify 1 into 1
7.818 * [backup-simplify]: Simplify (/ 1 1) into 1
7.818 * [taylor]: Taking taylor expansion of (* 32.0 (/ 1 (pow i 3))) in i
7.818 * [taylor]: Taking taylor expansion of 32.0 in i
7.818 * [backup-simplify]: Simplify 32.0 into 32.0
7.818 * [taylor]: Taking taylor expansion of (/ 1 (pow i 3)) in i
7.818 * [taylor]: Taking taylor expansion of (pow i 3) in i
7.818 * [taylor]: Taking taylor expansion of i in i
7.818 * [backup-simplify]: Simplify 0 into 0
7.818 * [backup-simplify]: Simplify 1 into 1
7.818 * [backup-simplify]: Simplify (* 1 1) into 1
7.818 * [backup-simplify]: Simplify (* 1 1) into 1
7.819 * [backup-simplify]: Simplify (/ 1 1) into 1
7.819 * [taylor]: Taking taylor expansion of (+ 8.0 (* 48.0 (/ 1 (pow i 2)))) in i
7.819 * [taylor]: Taking taylor expansion of 8.0 in i
7.819 * [backup-simplify]: Simplify 8.0 into 8.0
7.819 * [taylor]: Taking taylor expansion of (* 48.0 (/ 1 (pow i 2))) in i
7.819 * [taylor]: Taking taylor expansion of 48.0 in i
7.819 * [backup-simplify]: Simplify 48.0 into 48.0
7.819 * [taylor]: Taking taylor expansion of (/ 1 (pow i 2)) in i
7.819 * [taylor]: Taking taylor expansion of (pow i 2) in i
7.819 * [taylor]: Taking taylor expansion of i in i
7.819 * [backup-simplify]: Simplify 0 into 0
7.819 * [backup-simplify]: Simplify 1 into 1
7.819 * [backup-simplify]: Simplify (* 1 1) into 1
7.819 * [backup-simplify]: Simplify (/ 1 1) into 1
7.820 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.820 * [backup-simplify]: Simplify (+ (* 32.0 0) (* 0 1)) into 0
7.821 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.821 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.822 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.822 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.823 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.823 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.824 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.824 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.825 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.825 * [backup-simplify]: Simplify (+ (* 32.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.825 * [backup-simplify]: Simplify (+ 0 0) into 0
7.826 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.826 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.827 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.827 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.828 * [backup-simplify]: Simplify (+ (* 48.0 0) (+ (* 0 0) (* 0 1))) into 0
7.828 * [backup-simplify]: Simplify (+ 8.0 0) into 8.0
7.828 * [backup-simplify]: Simplify (- 8.0) into (- 8.0)
7.829 * [backup-simplify]: Simplify (+ 0 (- 8.0)) into (- 8.0)
7.829 * [backup-simplify]: Simplify (- 8.0) into (- 8.0)
7.830 * [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))))
7.830 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1 1 2)
7.831 * [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)))))
7.831 * [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
7.831 * [taylor]: Taking taylor expansion of (/ (- beta alpha) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta))))) in i
7.831 * [taylor]: Taking taylor expansion of (- beta alpha) in i
7.831 * [taylor]: Taking taylor expansion of beta in i
7.831 * [backup-simplify]: Simplify beta into beta
7.831 * [taylor]: Taking taylor expansion of alpha in i
7.831 * [backup-simplify]: Simplify alpha into alpha
7.831 * [taylor]: Taking taylor expansion of (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta)))) in i
7.831 * [taylor]: Taking taylor expansion of (+ alpha (+ (* 2.0 i) beta)) in i
7.831 * [taylor]: Taking taylor expansion of alpha in i
7.831 * [backup-simplify]: Simplify alpha into alpha
7.831 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in i
7.831 * [taylor]: Taking taylor expansion of (* 2.0 i) in i
7.831 * [taylor]: Taking taylor expansion of 2.0 in i
7.831 * [backup-simplify]: Simplify 2.0 into 2.0
7.831 * [taylor]: Taking taylor expansion of i in i
7.831 * [backup-simplify]: Simplify 0 into 0
7.831 * [backup-simplify]: Simplify 1 into 1
7.831 * [taylor]: Taking taylor expansion of beta in i
7.831 * [backup-simplify]: Simplify beta into beta
7.831 * [taylor]: Taking taylor expansion of (+ alpha (+ 2.0 (+ (* 2.0 i) beta))) in i
7.831 * [taylor]: Taking taylor expansion of alpha in i
7.831 * [backup-simplify]: Simplify alpha into alpha
7.831 * [taylor]: Taking taylor expansion of (+ 2.0 (+ (* 2.0 i) beta)) in i
7.831 * [taylor]: Taking taylor expansion of 2.0 in i
7.831 * [backup-simplify]: Simplify 2.0 into 2.0
7.831 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in i
7.831 * [taylor]: Taking taylor expansion of (* 2.0 i) in i
7.831 * [taylor]: Taking taylor expansion of 2.0 in i
7.831 * [backup-simplify]: Simplify 2.0 into 2.0
7.831 * [taylor]: Taking taylor expansion of i in i
7.831 * [backup-simplify]: Simplify 0 into 0
7.831 * [backup-simplify]: Simplify 1 into 1
7.831 * [taylor]: Taking taylor expansion of beta in i
7.831 * [backup-simplify]: Simplify beta into beta
7.831 * [backup-simplify]: Simplify (- alpha) into (- alpha)
7.831 * [backup-simplify]: Simplify (+ beta (- alpha)) into (- beta alpha)
7.832 * [backup-simplify]: Simplify (* 2.0 0) into 0
7.832 * [backup-simplify]: Simplify (+ 0 beta) into beta
7.832 * [backup-simplify]: Simplify (+ alpha beta) into (+ alpha beta)
7.832 * [backup-simplify]: Simplify (* 2.0 0) into 0
7.832 * [backup-simplify]: Simplify (+ 0 beta) into beta
7.832 * [backup-simplify]: Simplify (+ 2.0 beta) into (+ beta 2.0)
7.832 * [backup-simplify]: Simplify (+ alpha (+ beta 2.0)) into (+ alpha (+ beta 2.0))
7.832 * [backup-simplify]: Simplify (* (+ alpha beta) (+ alpha (+ beta 2.0))) into (* (+ alpha beta) (+ alpha (+ beta 2.0)))
7.832 * [backup-simplify]: Simplify (/ (- beta alpha) (* (+ alpha beta) (+ alpha (+ beta 2.0)))) into (/ (- beta alpha) (* (+ alpha beta) (+ alpha (+ beta 2.0))))
7.832 * [taylor]: Taking taylor expansion of (/ (- beta alpha) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta))))) in alpha
7.832 * [taylor]: Taking taylor expansion of (- beta alpha) in alpha
7.832 * [taylor]: Taking taylor expansion of beta in alpha
7.832 * [backup-simplify]: Simplify beta into beta
7.832 * [taylor]: Taking taylor expansion of alpha in alpha
7.832 * [backup-simplify]: Simplify 0 into 0
7.832 * [backup-simplify]: Simplify 1 into 1
7.832 * [taylor]: Taking taylor expansion of (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta)))) in alpha
7.832 * [taylor]: Taking taylor expansion of (+ alpha (+ (* 2.0 i) beta)) in alpha
7.832 * [taylor]: Taking taylor expansion of alpha in alpha
7.832 * [backup-simplify]: Simplify 0 into 0
7.832 * [backup-simplify]: Simplify 1 into 1
7.832 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in alpha
7.833 * [taylor]: Taking taylor expansion of (* 2.0 i) in alpha
7.833 * [taylor]: Taking taylor expansion of 2.0 in alpha
7.833 * [backup-simplify]: Simplify 2.0 into 2.0
7.833 * [taylor]: Taking taylor expansion of i in alpha
7.833 * [backup-simplify]: Simplify i into i
7.833 * [taylor]: Taking taylor expansion of beta in alpha
7.833 * [backup-simplify]: Simplify beta into beta
7.833 * [taylor]: Taking taylor expansion of (+ alpha (+ 2.0 (+ (* 2.0 i) beta))) in alpha
7.833 * [taylor]: Taking taylor expansion of alpha in alpha
7.833 * [backup-simplify]: Simplify 0 into 0
7.833 * [backup-simplify]: Simplify 1 into 1
7.833 * [taylor]: Taking taylor expansion of (+ 2.0 (+ (* 2.0 i) beta)) in alpha
7.833 * [taylor]: Taking taylor expansion of 2.0 in alpha
7.833 * [backup-simplify]: Simplify 2.0 into 2.0
7.833 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in alpha
7.833 * [taylor]: Taking taylor expansion of (* 2.0 i) in alpha
7.833 * [taylor]: Taking taylor expansion of 2.0 in alpha
7.833 * [backup-simplify]: Simplify 2.0 into 2.0
7.833 * [taylor]: Taking taylor expansion of i in alpha
7.833 * [backup-simplify]: Simplify i into i
7.833 * [taylor]: Taking taylor expansion of beta in alpha
7.833 * [backup-simplify]: Simplify beta into beta
7.833 * [backup-simplify]: Simplify (- 0) into 0
7.833 * [backup-simplify]: Simplify (+ beta 0) into beta
7.833 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
7.833 * [backup-simplify]: Simplify (+ (* 2.0 i) beta) into (+ (* 2.0 i) beta)
7.833 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 i) beta)) into (+ (* 2.0 i) beta)
7.833 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
7.833 * [backup-simplify]: Simplify (+ (* 2.0 i) beta) into (+ (* 2.0 i) beta)
7.833 * [backup-simplify]: Simplify (+ 2.0 (+ (* 2.0 i) beta)) into (+ (* 2.0 i) (+ beta 2.0))
7.834 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 i) (+ beta 2.0))) into (+ (* 2.0 i) (+ beta 2.0))
7.834 * [backup-simplify]: Simplify (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0))) into (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))
7.834 * [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))))
7.834 * [taylor]: Taking taylor expansion of (/ (- beta alpha) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta))))) in beta
7.834 * [taylor]: Taking taylor expansion of (- beta alpha) in beta
7.834 * [taylor]: Taking taylor expansion of beta in beta
7.834 * [backup-simplify]: Simplify 0 into 0
7.834 * [backup-simplify]: Simplify 1 into 1
7.834 * [taylor]: Taking taylor expansion of alpha in beta
7.834 * [backup-simplify]: Simplify alpha into alpha
7.834 * [taylor]: Taking taylor expansion of (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta)))) in beta
7.834 * [taylor]: Taking taylor expansion of (+ alpha (+ (* 2.0 i) beta)) in beta
7.834 * [taylor]: Taking taylor expansion of alpha in beta
7.834 * [backup-simplify]: Simplify alpha into alpha
7.834 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
7.834 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
7.834 * [taylor]: Taking taylor expansion of 2.0 in beta
7.834 * [backup-simplify]: Simplify 2.0 into 2.0
7.834 * [taylor]: Taking taylor expansion of i in beta
7.834 * [backup-simplify]: Simplify i into i
7.834 * [taylor]: Taking taylor expansion of beta in beta
7.834 * [backup-simplify]: Simplify 0 into 0
7.834 * [backup-simplify]: Simplify 1 into 1
7.834 * [taylor]: Taking taylor expansion of (+ alpha (+ 2.0 (+ (* 2.0 i) beta))) in beta
7.834 * [taylor]: Taking taylor expansion of alpha in beta
7.834 * [backup-simplify]: Simplify alpha into alpha
7.834 * [taylor]: Taking taylor expansion of (+ 2.0 (+ (* 2.0 i) beta)) in beta
7.834 * [taylor]: Taking taylor expansion of 2.0 in beta
7.834 * [backup-simplify]: Simplify 2.0 into 2.0
7.834 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
7.834 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
7.834 * [taylor]: Taking taylor expansion of 2.0 in beta
7.834 * [backup-simplify]: Simplify 2.0 into 2.0
7.834 * [taylor]: Taking taylor expansion of i in beta
7.834 * [backup-simplify]: Simplify i into i
7.834 * [taylor]: Taking taylor expansion of beta in beta
7.834 * [backup-simplify]: Simplify 0 into 0
7.834 * [backup-simplify]: Simplify 1 into 1
7.835 * [backup-simplify]: Simplify (- alpha) into (- alpha)
7.835 * [backup-simplify]: Simplify (+ 0 (- alpha)) into (- alpha)
7.835 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
7.835 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
7.835 * [backup-simplify]: Simplify (+ alpha (* 2.0 i)) into (+ alpha (* 2.0 i))
7.835 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
7.835 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
7.835 * [backup-simplify]: Simplify (+ 2.0 (* 2.0 i)) into (+ (* 2.0 i) 2.0)
7.835 * [backup-simplify]: Simplify (+ alpha (+ (* 2.0 i) 2.0)) into (+ alpha (+ (* 2.0 i) 2.0))
7.835 * [backup-simplify]: Simplify (* (+ alpha (* 2.0 i)) (+ alpha (+ (* 2.0 i) 2.0))) into (* (+ alpha (+ (* 2.0 i) 2.0)) (+ alpha (* 2.0 i)))
7.835 * [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)))))
7.836 * [taylor]: Taking taylor expansion of (/ (- beta alpha) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta))))) in beta
7.836 * [taylor]: Taking taylor expansion of (- beta alpha) in beta
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 * [taylor]: Taking taylor expansion of alpha in beta
7.836 * [backup-simplify]: Simplify alpha into alpha
7.836 * [taylor]: Taking taylor expansion of (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta)))) in beta
7.836 * [taylor]: Taking taylor expansion of (+ alpha (+ (* 2.0 i) beta)) in beta
7.836 * [taylor]: Taking taylor expansion of alpha in beta
7.836 * [backup-simplify]: Simplify alpha into alpha
7.836 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
7.836 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
7.836 * [taylor]: Taking taylor expansion of 2.0 in beta
7.836 * [backup-simplify]: Simplify 2.0 into 2.0
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 * [taylor]: Taking taylor expansion of (+ alpha (+ 2.0 (+ (* 2.0 i) beta))) in beta
7.836 * [taylor]: Taking taylor expansion of alpha in beta
7.836 * [backup-simplify]: Simplify alpha into alpha
7.836 * [taylor]: Taking taylor expansion of (+ 2.0 (+ (* 2.0 i) beta)) in beta
7.836 * [taylor]: Taking taylor expansion of 2.0 in beta
7.836 * [backup-simplify]: Simplify 2.0 into 2.0
7.836 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
7.836 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
7.836 * [taylor]: Taking taylor expansion of 2.0 in beta
7.836 * [backup-simplify]: Simplify 2.0 into 2.0
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 (- alpha) into (- alpha)
7.836 * [backup-simplify]: Simplify (+ 0 (- alpha)) into (- alpha)
7.836 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
7.836 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
7.836 * [backup-simplify]: Simplify (+ alpha (* 2.0 i)) into (+ alpha (* 2.0 i))
7.836 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
7.837 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
7.837 * [backup-simplify]: Simplify (+ 2.0 (* 2.0 i)) into (+ (* 2.0 i) 2.0)
7.837 * [backup-simplify]: Simplify (+ alpha (+ (* 2.0 i) 2.0)) into (+ alpha (+ (* 2.0 i) 2.0))
7.837 * [backup-simplify]: Simplify (* (+ alpha (* 2.0 i)) (+ alpha (+ (* 2.0 i) 2.0))) into (* (+ alpha (+ (* 2.0 i) 2.0)) (+ alpha (* 2.0 i)))
7.837 * [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)))))
7.837 * [taylor]: Taking taylor expansion of (* -1 (/ alpha (* (+ alpha (* 2.0 i)) (+ alpha (+ (* 2.0 i) 2.0))))) in alpha
7.837 * [taylor]: Taking taylor expansion of -1 in alpha
7.837 * [backup-simplify]: Simplify -1 into -1
7.837 * [taylor]: Taking taylor expansion of (/ alpha (* (+ alpha (* 2.0 i)) (+ alpha (+ (* 2.0 i) 2.0)))) in alpha
7.837 * [taylor]: Taking taylor expansion of alpha in alpha
7.837 * [backup-simplify]: Simplify 0 into 0
7.837 * [backup-simplify]: Simplify 1 into 1
7.837 * [taylor]: Taking taylor expansion of (* (+ alpha (* 2.0 i)) (+ alpha (+ (* 2.0 i) 2.0))) in alpha
7.837 * [taylor]: Taking taylor expansion of (+ alpha (* 2.0 i)) in alpha
7.837 * [taylor]: Taking taylor expansion of alpha in alpha
7.837 * [backup-simplify]: Simplify 0 into 0
7.837 * [backup-simplify]: Simplify 1 into 1
7.837 * [taylor]: Taking taylor expansion of (* 2.0 i) in alpha
7.837 * [taylor]: Taking taylor expansion of 2.0 in alpha
7.837 * [backup-simplify]: Simplify 2.0 into 2.0
7.837 * [taylor]: Taking taylor expansion of i in alpha
7.837 * [backup-simplify]: Simplify i into i
7.837 * [taylor]: Taking taylor expansion of (+ alpha (+ (* 2.0 i) 2.0)) in alpha
7.837 * [taylor]: Taking taylor expansion of alpha in alpha
7.837 * [backup-simplify]: Simplify 0 into 0
7.837 * [backup-simplify]: Simplify 1 into 1
7.837 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) 2.0) in alpha
7.837 * [taylor]: Taking taylor expansion of (* 2.0 i) in alpha
7.837 * [taylor]: Taking taylor expansion of 2.0 in alpha
7.837 * [backup-simplify]: Simplify 2.0 into 2.0
7.837 * [taylor]: Taking taylor expansion of i in alpha
7.837 * [backup-simplify]: Simplify i into i
7.837 * [taylor]: Taking taylor expansion of 2.0 in alpha
7.837 * [backup-simplify]: Simplify 2.0 into 2.0
7.837 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
7.838 * [backup-simplify]: Simplify (+ 0 (* 2.0 i)) into (* 2.0 i)
7.838 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
7.838 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
7.838 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 i) 2.0)) into (+ (* 2.0 i) 2.0)
7.838 * [backup-simplify]: Simplify (* (* 2.0 i) (+ (* 2.0 i) 2.0)) into (* 2.0 (* i (+ (* 2.0 i) 2.0)))
7.838 * [backup-simplify]: Simplify (/ 1 (* 2.0 (* i (+ (* 2.0 i) 2.0)))) into (/ 0.5 (* i (+ (* 2.0 i) 2.0)))
7.838 * [backup-simplify]: Simplify (- 0) into 0
7.839 * [backup-simplify]: Simplify (+ 1 0) into 1
7.839 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 i)) into 0
7.839 * [backup-simplify]: Simplify (+ 0 1) into 1
7.839 * [backup-simplify]: Simplify (+ 0 1) into 1
7.840 * [backup-simplify]: Simplify (+ 0 1) into 1
7.840 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 i)) into 0
7.840 * [backup-simplify]: Simplify (+ 0 1) into 1
7.841 * [backup-simplify]: Simplify (+ 0 1) into 1
7.841 * [backup-simplify]: Simplify (+ (* (+ alpha (* 2.0 i)) 1) (* 1 (+ alpha (+ (* 2.0 i) 2.0)))) into (+ (* 2 alpha) (+ (* 4.0 i) 2.0))
7.842 * [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)))))))
7.842 * [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
7.842 * [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
7.842 * [taylor]: Taking taylor expansion of 4.0 in alpha
7.842 * [backup-simplify]: Simplify 4.0 into 4.0
7.842 * [taylor]: Taking taylor expansion of (/ (* alpha i) (* (pow (+ alpha (* 2.0 i)) 2) (pow (+ alpha (+ (* 2.0 i) 2.0)) 2))) in alpha
7.842 * [taylor]: Taking taylor expansion of (* alpha i) in alpha
7.842 * [taylor]: Taking taylor expansion of alpha in alpha
7.842 * [backup-simplify]: Simplify 0 into 0
7.842 * [backup-simplify]: Simplify 1 into 1
7.842 * [taylor]: Taking taylor expansion of i in alpha
7.842 * [backup-simplify]: Simplify i into i
7.842 * [taylor]: Taking taylor expansion of (* (pow (+ alpha (* 2.0 i)) 2) (pow (+ alpha (+ (* 2.0 i) 2.0)) 2)) in alpha
7.842 * [taylor]: Taking taylor expansion of (pow (+ alpha (* 2.0 i)) 2) in alpha
7.842 * [taylor]: Taking taylor expansion of (+ alpha (* 2.0 i)) in alpha
7.842 * [taylor]: Taking taylor expansion of alpha in alpha
7.842 * [backup-simplify]: Simplify 0 into 0
7.842 * [backup-simplify]: Simplify 1 into 1
7.842 * [taylor]: Taking taylor expansion of (* 2.0 i) in alpha
7.842 * [taylor]: Taking taylor expansion of 2.0 in alpha
7.842 * [backup-simplify]: Simplify 2.0 into 2.0
7.842 * [taylor]: Taking taylor expansion of i in alpha
7.842 * [backup-simplify]: Simplify i into i
7.842 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
7.842 * [backup-simplify]: Simplify (+ 0 (* 2.0 i)) into (* 2.0 i)
7.842 * [taylor]: Taking taylor expansion of (pow (+ alpha (+ (* 2.0 i) 2.0)) 2) in alpha
7.842 * [taylor]: Taking taylor expansion of (+ alpha (+ (* 2.0 i) 2.0)) in alpha
7.842 * [taylor]: Taking taylor expansion of alpha in alpha
7.842 * [backup-simplify]: Simplify 0 into 0
7.842 * [backup-simplify]: Simplify 1 into 1
7.842 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) 2.0) in alpha
7.842 * [taylor]: Taking taylor expansion of (* 2.0 i) in alpha
7.842 * [taylor]: Taking taylor expansion of 2.0 in alpha
7.842 * [backup-simplify]: Simplify 2.0 into 2.0
7.842 * [taylor]: Taking taylor expansion of i in alpha
7.842 * [backup-simplify]: Simplify i into i
7.842 * [taylor]: Taking taylor expansion of 2.0 in alpha
7.842 * [backup-simplify]: Simplify 2.0 into 2.0
7.842 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
7.842 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
7.842 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 i) 2.0)) into (+ (* 2.0 i) 2.0)
7.843 * [backup-simplify]: Simplify (* 0 i) into 0
7.843 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 i)) into i
7.843 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
7.843 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
7.843 * [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)))
7.844 * [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)))
7.844 * [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
7.844 * [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
7.844 * [taylor]: Taking taylor expansion of 2 in alpha
7.844 * [backup-simplify]: Simplify 2 into 2
7.844 * [taylor]: Taking taylor expansion of (/ (pow alpha 2) (* (pow (+ alpha (* 2.0 i)) 2) (pow (+ alpha (+ (* 2.0 i) 2.0)) 2))) in alpha
7.844 * [taylor]: Taking taylor expansion of (pow alpha 2) in alpha
7.844 * [taylor]: Taking taylor expansion of alpha in alpha
7.844 * [backup-simplify]: Simplify 0 into 0
7.844 * [backup-simplify]: Simplify 1 into 1
7.844 * [taylor]: Taking taylor expansion of (* (pow (+ alpha (* 2.0 i)) 2) (pow (+ alpha (+ (* 2.0 i) 2.0)) 2)) in alpha
7.844 * [taylor]: Taking taylor expansion of (pow (+ alpha (* 2.0 i)) 2) in alpha
7.844 * [taylor]: Taking taylor expansion of (+ alpha (* 2.0 i)) in alpha
7.844 * [taylor]: Taking taylor expansion of alpha in alpha
7.844 * [backup-simplify]: Simplify 0 into 0
7.844 * [backup-simplify]: Simplify 1 into 1
7.844 * [taylor]: Taking taylor expansion of (* 2.0 i) in alpha
7.844 * [taylor]: Taking taylor expansion of 2.0 in alpha
7.844 * [backup-simplify]: Simplify 2.0 into 2.0
7.844 * [taylor]: Taking taylor expansion of i in alpha
7.844 * [backup-simplify]: Simplify i into i
7.844 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
7.844 * [backup-simplify]: Simplify (+ 0 (* 2.0 i)) into (* 2.0 i)
7.844 * [taylor]: Taking taylor expansion of (pow (+ alpha (+ (* 2.0 i) 2.0)) 2) in alpha
7.844 * [taylor]: Taking taylor expansion of (+ alpha (+ (* 2.0 i) 2.0)) in alpha
7.844 * [taylor]: Taking taylor expansion of alpha in alpha
7.844 * [backup-simplify]: Simplify 0 into 0
7.845 * [backup-simplify]: Simplify 1 into 1
7.845 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) 2.0) in alpha
7.845 * [taylor]: Taking taylor expansion of (* 2.0 i) in alpha
7.845 * [taylor]: Taking taylor expansion of 2.0 in alpha
7.845 * [backup-simplify]: Simplify 2.0 into 2.0
7.845 * [taylor]: Taking taylor expansion of i in alpha
7.845 * [backup-simplify]: Simplify i into i
7.845 * [taylor]: Taking taylor expansion of 2.0 in alpha
7.845 * [backup-simplify]: Simplify 2.0 into 2.0
7.845 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
7.845 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
7.845 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 i) 2.0)) into (+ (* 2.0 i) 2.0)
7.845 * [backup-simplify]: Simplify (* 1 1) into 1
7.845 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
7.846 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
7.846 * [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)))
7.846 * [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)))
7.846 * [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
7.846 * [taylor]: Taking taylor expansion of (* 2.0 (/ alpha (* (pow (+ alpha (* 2.0 i)) 2) (pow (+ alpha (+ (* 2.0 i) 2.0)) 2)))) in alpha
7.846 * [taylor]: Taking taylor expansion of 2.0 in alpha
7.846 * [backup-simplify]: Simplify 2.0 into 2.0
7.846 * [taylor]: Taking taylor expansion of (/ alpha (* (pow (+ alpha (* 2.0 i)) 2) (pow (+ alpha (+ (* 2.0 i) 2.0)) 2))) in alpha
7.847 * [taylor]: Taking taylor expansion of alpha in alpha
7.847 * [backup-simplify]: Simplify 0 into 0
7.847 * [backup-simplify]: Simplify 1 into 1
7.847 * [taylor]: Taking taylor expansion of (* (pow (+ alpha (* 2.0 i)) 2) (pow (+ alpha (+ (* 2.0 i) 2.0)) 2)) in alpha
7.847 * [taylor]: Taking taylor expansion of (pow (+ alpha (* 2.0 i)) 2) in alpha
7.847 * [taylor]: Taking taylor expansion of (+ alpha (* 2.0 i)) in alpha
7.847 * [taylor]: Taking taylor expansion of alpha in alpha
7.847 * [backup-simplify]: Simplify 0 into 0
7.847 * [backup-simplify]: Simplify 1 into 1
7.847 * [taylor]: Taking taylor expansion of (* 2.0 i) in alpha
7.847 * [taylor]: Taking taylor expansion of 2.0 in alpha
7.847 * [backup-simplify]: Simplify 2.0 into 2.0
7.847 * [taylor]: Taking taylor expansion of i in alpha
7.847 * [backup-simplify]: Simplify i into i
7.847 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
7.847 * [backup-simplify]: Simplify (+ 0 (* 2.0 i)) into (* 2.0 i)
7.847 * [taylor]: Taking taylor expansion of (pow (+ alpha (+ (* 2.0 i) 2.0)) 2) in alpha
7.847 * [taylor]: Taking taylor expansion of (+ alpha (+ (* 2.0 i) 2.0)) in alpha
7.847 * [taylor]: Taking taylor expansion of alpha in alpha
7.847 * [backup-simplify]: Simplify 0 into 0
7.847 * [backup-simplify]: Simplify 1 into 1
7.847 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) 2.0) in alpha
7.847 * [taylor]: Taking taylor expansion of (* 2.0 i) in alpha
7.847 * [taylor]: Taking taylor expansion of 2.0 in alpha
7.847 * [backup-simplify]: Simplify 2.0 into 2.0
7.847 * [taylor]: Taking taylor expansion of i in alpha
7.847 * [backup-simplify]: Simplify i into i
7.847 * [taylor]: Taking taylor expansion of 2.0 in alpha
7.847 * [backup-simplify]: Simplify 2.0 into 2.0
7.847 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
7.848 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
7.848 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 i) 2.0)) into (+ (* 2.0 i) 2.0)
7.848 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
7.848 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
7.848 * [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)))
7.849 * [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)))
7.849 * [taylor]: Taking taylor expansion of (/ 1 (* (+ alpha (+ (* 2.0 i) 2.0)) (+ alpha (* 2.0 i)))) in alpha
7.849 * [taylor]: Taking taylor expansion of (* (+ alpha (+ (* 2.0 i) 2.0)) (+ alpha (* 2.0 i))) in alpha
7.849 * [taylor]: Taking taylor expansion of (+ alpha (+ (* 2.0 i) 2.0)) in alpha
7.849 * [taylor]: Taking taylor expansion of alpha in alpha
7.849 * [backup-simplify]: Simplify 0 into 0
7.849 * [backup-simplify]: Simplify 1 into 1
7.849 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) 2.0) in alpha
7.849 * [taylor]: Taking taylor expansion of (* 2.0 i) in alpha
7.849 * [taylor]: Taking taylor expansion of 2.0 in alpha
7.849 * [backup-simplify]: Simplify 2.0 into 2.0
7.849 * [taylor]: Taking taylor expansion of i in alpha
7.849 * [backup-simplify]: Simplify i into i
7.849 * [taylor]: Taking taylor expansion of 2.0 in alpha
7.849 * [backup-simplify]: Simplify 2.0 into 2.0
7.849 * [taylor]: Taking taylor expansion of (+ alpha (* 2.0 i)) in alpha
7.849 * [taylor]: Taking taylor expansion of alpha in alpha
7.849 * [backup-simplify]: Simplify 0 into 0
7.849 * [backup-simplify]: Simplify 1 into 1
7.849 * [taylor]: Taking taylor expansion of (* 2.0 i) in alpha
7.849 * [taylor]: Taking taylor expansion of 2.0 in alpha
7.849 * [backup-simplify]: Simplify 2.0 into 2.0
7.849 * [taylor]: Taking taylor expansion of i in alpha
7.849 * [backup-simplify]: Simplify i into i
7.849 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
7.849 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
7.849 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 i) 2.0)) into (+ (* 2.0 i) 2.0)
7.850 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
7.850 * [backup-simplify]: Simplify (+ 0 (* 2.0 i)) into (* 2.0 i)
7.850 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (* 2.0 i)) into (* 2.0 (* (+ (* 2.0 i) 2.0) i))
7.850 * [backup-simplify]: Simplify (/ 1 (* 2.0 (* (+ (* 2.0 i) 2.0) i))) into (/ 0.5 (* (+ (* 2.0 i) 2.0) i))
7.850 * [backup-simplify]: Simplify (+ 0 (/ 0.5 (* (+ (* 2.0 i) 2.0) i))) into (* 0.5 (/ 1 (* (+ (* 2.0 i) 2.0) i)))
7.850 * [backup-simplify]: Simplify (+ 0 (* 0.5 (/ 1 (* (+ (* 2.0 i) 2.0) i)))) into (* 0.5 (/ 1 (* (+ (* 2.0 i) 2.0) i)))
7.850 * [backup-simplify]: Simplify (+ 0 (* 0.5 (/ 1 (* (+ (* 2.0 i) 2.0) i)))) into (* 0.5 (/ 1 (* (+ (* 2.0 i) 2.0) i)))
7.851 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (* (+ (* 2.0 i) 2.0) i))) in i
7.851 * [taylor]: Taking taylor expansion of 0.5 in i
7.851 * [backup-simplify]: Simplify 0.5 into 0.5
7.851 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (* 2.0 i) 2.0) i)) in i
7.851 * [taylor]: Taking taylor expansion of (* (+ (* 2.0 i) 2.0) i) in i
7.851 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) 2.0) in i
7.851 * [taylor]: Taking taylor expansion of (* 2.0 i) in i
7.851 * [taylor]: Taking taylor expansion of 2.0 in i
7.851 * [backup-simplify]: Simplify 2.0 into 2.0
7.851 * [taylor]: Taking taylor expansion of i in i
7.851 * [backup-simplify]: Simplify 0 into 0
7.851 * [backup-simplify]: Simplify 1 into 1
7.851 * [taylor]: Taking taylor expansion of 2.0 in i
7.851 * [backup-simplify]: Simplify 2.0 into 2.0
7.851 * [taylor]: Taking taylor expansion of i in i
7.851 * [backup-simplify]: Simplify 0 into 0
7.851 * [backup-simplify]: Simplify 1 into 1
7.852 * [backup-simplify]: Simplify (* 2.0 0) into 0
7.852 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
7.852 * [backup-simplify]: Simplify (* 2.0 0) into 0
7.854 * [backup-simplify]: Simplify (+ (* 2.0 1) (* 0 0)) into 2.0
7.854 * [backup-simplify]: Simplify (+ 2.0 0) into 2.0
7.856 * [backup-simplify]: Simplify (+ (* 2.0 1) (* 2.0 0)) into 2.0
7.856 * [backup-simplify]: Simplify (/ 1 2.0) into 0.5
7.857 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 1) (* 0 0))) into 0
7.857 * [backup-simplify]: Simplify (+ 0 0) into 0
7.860 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 2.0 1) (* 0 0))) into 2.0
7.862 * [backup-simplify]: Simplify (- (+ (* 0.5 (/ 2.0 2.0)))) into (- 0.5)
7.870 * [backup-simplify]: Simplify (+ (* 0.5 (- 0.5)) (* 0 0.5)) into (- 0.25)
7.871 * [backup-simplify]: Simplify (- 0.25) into (- 0.25)
7.871 * [backup-simplify]: Simplify (* -1 (/ 0.5 (* i (+ (* 2.0 i) 2.0)))) into (/ -0.5 (* i (+ (* 2.0 i) 2.0)))
7.871 * [taylor]: Taking taylor expansion of (/ -0.5 (* i (+ (* 2.0 i) 2.0))) in i
7.871 * [taylor]: Taking taylor expansion of -0.5 in i
7.871 * [backup-simplify]: Simplify -0.5 into -0.5
7.871 * [taylor]: Taking taylor expansion of (* i (+ (* 2.0 i) 2.0)) 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 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) 2.0) in i
7.871 * [taylor]: Taking taylor expansion of (* 2.0 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 i in i
7.871 * [backup-simplify]: Simplify 0 into 0
7.871 * [backup-simplify]: Simplify 1 into 1
7.871 * [taylor]: Taking taylor expansion of 2.0 in i
7.871 * [backup-simplify]: Simplify 2.0 into 2.0
7.872 * [backup-simplify]: Simplify (* 2.0 0) into 0
7.873 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
7.873 * [backup-simplify]: Simplify (* 0 2.0) into 0
7.875 * [backup-simplify]: Simplify (+ (* 2.0 1) (* 0 0)) into 2.0
7.875 * [backup-simplify]: Simplify (+ 2.0 0) into 2.0
7.877 * [backup-simplify]: Simplify (+ (* 0 2.0) (* 1 2.0)) into 2.0
7.877 * [backup-simplify]: Simplify (/ -0.5 2.0) into -0.25
7.878 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 1) (* 0 0))) into 0
7.879 * [backup-simplify]: Simplify (+ 0 0) into 0
7.881 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 2.0) (* 0 2.0))) into 2.0
7.884 * [backup-simplify]: Simplify (- (/ 0 2.0) (+ (* -0.25 (/ 2.0 2.0)))) into 0.25
7.884 * [backup-simplify]: Simplify 0.25 into 0.25
7.885 * [backup-simplify]: Simplify (- 0) into 0
7.885 * [backup-simplify]: Simplify (+ 0 0) into 0
7.886 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 i))) into 0
7.887 * [backup-simplify]: Simplify (+ 0 0) into 0
7.887 * [backup-simplify]: Simplify (+ 0 0) into 0
7.887 * [backup-simplify]: Simplify (+ 0 0) into 0
7.888 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 i))) into 0
7.889 * [backup-simplify]: Simplify (+ 0 0) into 0
7.889 * [backup-simplify]: Simplify (+ 0 0) into 0
7.889 * [backup-simplify]: Simplify (+ (* (+ alpha (* 2.0 i)) 0) (+ (* 1 1) (* 0 (+ alpha (+ (* 2.0 i) 2.0))))) into 1
7.897 * [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)))))))))))))
7.897 * [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
7.897 * [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
7.897 * [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
7.897 * [taylor]: Taking taylor expansion of 16.0 in alpha
7.897 * [backup-simplify]: Simplify 16.0 into 16.0
7.897 * [taylor]: Taking taylor expansion of (/ (* alpha i) (* (pow (+ alpha (* 2.0 i)) 3) (pow (+ alpha (+ (* 2.0 i) 2.0)) 3))) in alpha
7.897 * [taylor]: Taking taylor expansion of (* alpha i) in alpha
7.897 * [taylor]: Taking taylor expansion of alpha in alpha
7.897 * [backup-simplify]: Simplify 0 into 0
7.897 * [backup-simplify]: Simplify 1 into 1
7.897 * [taylor]: Taking taylor expansion of i in alpha
7.897 * [backup-simplify]: Simplify i into i
7.897 * [taylor]: Taking taylor expansion of (* (pow (+ alpha (* 2.0 i)) 3) (pow (+ alpha (+ (* 2.0 i) 2.0)) 3)) in alpha
7.898 * [taylor]: Taking taylor expansion of (pow (+ alpha (* 2.0 i)) 3) in alpha
7.898 * [taylor]: Taking taylor expansion of (+ alpha (* 2.0 i)) in alpha
7.898 * [taylor]: Taking taylor expansion of alpha in alpha
7.898 * [backup-simplify]: Simplify 0 into 0
7.898 * [backup-simplify]: Simplify 1 into 1
7.898 * [taylor]: Taking taylor expansion of (* 2.0 i) in alpha
7.898 * [taylor]: Taking taylor expansion of 2.0 in alpha
7.898 * [backup-simplify]: Simplify 2.0 into 2.0
7.898 * [taylor]: Taking taylor expansion of i in alpha
7.898 * [backup-simplify]: Simplify i into i
7.898 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
7.898 * [backup-simplify]: Simplify (+ 0 (* 2.0 i)) into (* 2.0 i)
7.898 * [taylor]: Taking taylor expansion of (pow (+ alpha (+ (* 2.0 i) 2.0)) 3) in alpha
7.898 * [taylor]: Taking taylor expansion of (+ alpha (+ (* 2.0 i) 2.0)) in alpha
7.898 * [taylor]: Taking taylor expansion of alpha in alpha
7.898 * [backup-simplify]: Simplify 0 into 0
7.898 * [backup-simplify]: Simplify 1 into 1
7.898 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) 2.0) in alpha
7.898 * [taylor]: Taking taylor expansion of (* 2.0 i) in alpha
7.898 * [taylor]: Taking taylor expansion of 2.0 in alpha
7.898 * [backup-simplify]: Simplify 2.0 into 2.0
7.898 * [taylor]: Taking taylor expansion of i in alpha
7.898 * [backup-simplify]: Simplify i into i
7.898 * [taylor]: Taking taylor expansion of 2.0 in alpha
7.898 * [backup-simplify]: Simplify 2.0 into 2.0
7.898 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
7.899 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
7.899 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 i) 2.0)) into (+ (* 2.0 i) 2.0)
7.899 * [backup-simplify]: Simplify (* 0 i) into 0
7.899 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 i)) into i
7.900 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
7.900 * [backup-simplify]: Simplify (* (* 2.0 i) (* 4.0 (pow i 2))) into (* 8.0 (pow i 3))
7.900 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
7.900 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (pow (+ (* 2.0 i) 2.0) 2)) into (pow (+ (* 2.0 i) 2.0) 3)
7.901 * [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)))
7.901 * [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)))
7.901 * [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
7.901 * [taylor]: Taking taylor expansion of (* 4.0 (/ i (* (pow (+ alpha (+ (* 2.0 i) 2.0)) 2) (pow (+ alpha (* 2.0 i)) 2)))) in alpha
7.901 * [taylor]: Taking taylor expansion of 4.0 in alpha
7.901 * [backup-simplify]: Simplify 4.0 into 4.0
7.901 * [taylor]: Taking taylor expansion of (/ i (* (pow (+ alpha (+ (* 2.0 i) 2.0)) 2) (pow (+ alpha (* 2.0 i)) 2))) in alpha
7.901 * [taylor]: Taking taylor expansion of i in alpha
7.901 * [backup-simplify]: Simplify i into i
7.901 * [taylor]: Taking taylor expansion of (* (pow (+ alpha (+ (* 2.0 i) 2.0)) 2) (pow (+ alpha (* 2.0 i)) 2)) in alpha
7.901 * [taylor]: Taking taylor expansion of (pow (+ alpha (+ (* 2.0 i) 2.0)) 2) in alpha
7.901 * [taylor]: Taking taylor expansion of (+ alpha (+ (* 2.0 i) 2.0)) in alpha
7.902 * [taylor]: Taking taylor expansion of alpha in alpha
7.902 * [backup-simplify]: Simplify 0 into 0
7.902 * [backup-simplify]: Simplify 1 into 1
7.902 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) 2.0) in alpha
7.902 * [taylor]: Taking taylor expansion of (* 2.0 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 i in alpha
7.902 * [backup-simplify]: Simplify i into i
7.902 * [taylor]: Taking taylor expansion of 2.0 in alpha
7.902 * [backup-simplify]: Simplify 2.0 into 2.0
7.902 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
7.902 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
7.902 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 i) 2.0)) into (+ (* 2.0 i) 2.0)
7.902 * [taylor]: Taking taylor expansion of (pow (+ alpha (* 2.0 i)) 2) in alpha
7.902 * [taylor]: Taking taylor expansion of (+ alpha (* 2.0 i)) in alpha
7.902 * [taylor]: Taking taylor expansion of alpha in alpha
7.902 * [backup-simplify]: Simplify 0 into 0
7.902 * [backup-simplify]: Simplify 1 into 1
7.902 * [taylor]: Taking taylor expansion of (* 2.0 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 i in alpha
7.902 * [backup-simplify]: Simplify i into i
7.903 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
7.903 * [backup-simplify]: Simplify (+ 0 (* 2.0 i)) into (* 2.0 i)
7.903 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
7.903 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
7.903 * [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)))
7.904 * [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)))
7.904 * [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
7.904 * [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
7.904 * [taylor]: Taking taylor expansion of 4 in alpha
7.904 * [backup-simplify]: Simplify 4 into 4
7.904 * [taylor]: Taking taylor expansion of (/ (pow alpha 3) (* (pow (+ alpha (* 2.0 i)) 3) (pow (+ alpha (+ (* 2.0 i) 2.0)) 3))) in alpha
7.904 * [taylor]: Taking taylor expansion of (pow alpha 3) in alpha
7.904 * [taylor]: Taking taylor expansion of alpha in alpha
7.904 * [backup-simplify]: Simplify 0 into 0
7.904 * [backup-simplify]: Simplify 1 into 1
7.904 * [taylor]: Taking taylor expansion of (* (pow (+ alpha (* 2.0 i)) 3) (pow (+ alpha (+ (* 2.0 i) 2.0)) 3)) in alpha
7.904 * [taylor]: Taking taylor expansion of (pow (+ alpha (* 2.0 i)) 3) in alpha
7.904 * [taylor]: Taking taylor expansion of (+ alpha (* 2.0 i)) in alpha
7.905 * [taylor]: Taking taylor expansion of alpha in alpha
7.905 * [backup-simplify]: Simplify 0 into 0
7.905 * [backup-simplify]: Simplify 1 into 1
7.905 * [taylor]: Taking taylor expansion of (* 2.0 i) in alpha
7.905 * [taylor]: Taking taylor expansion of 2.0 in alpha
7.905 * [backup-simplify]: Simplify 2.0 into 2.0
7.905 * [taylor]: Taking taylor expansion of i in alpha
7.905 * [backup-simplify]: Simplify i into i
7.905 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
7.905 * [backup-simplify]: Simplify (+ 0 (* 2.0 i)) into (* 2.0 i)
7.905 * [taylor]: Taking taylor expansion of (pow (+ alpha (+ (* 2.0 i) 2.0)) 3) in alpha
7.905 * [taylor]: Taking taylor expansion of (+ alpha (+ (* 2.0 i) 2.0)) in alpha
7.905 * [taylor]: Taking taylor expansion of alpha in alpha
7.905 * [backup-simplify]: Simplify 0 into 0
7.905 * [backup-simplify]: Simplify 1 into 1
7.905 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) 2.0) in alpha
7.905 * [taylor]: Taking taylor expansion of (* 2.0 i) in alpha
7.905 * [taylor]: Taking taylor expansion of 2.0 in alpha
7.905 * [backup-simplify]: Simplify 2.0 into 2.0
7.905 * [taylor]: Taking taylor expansion of i in alpha
7.905 * [backup-simplify]: Simplify i into i
7.905 * [taylor]: Taking taylor expansion of 2.0 in alpha
7.905 * [backup-simplify]: Simplify 2.0 into 2.0
7.905 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
7.906 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
7.906 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 i) 2.0)) into (+ (* 2.0 i) 2.0)
7.906 * [backup-simplify]: Simplify (* 1 1) into 1
7.907 * [backup-simplify]: Simplify (* 1 1) into 1
7.907 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
7.907 * [backup-simplify]: Simplify (* (* 2.0 i) (* 4.0 (pow i 2))) into (* 8.0 (pow i 3))
7.907 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
7.908 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (pow (+ (* 2.0 i) 2.0) 2)) into (pow (+ (* 2.0 i) 2.0) 3)
7.908 * [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)))
7.908 * [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)))
7.908 * [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
7.909 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* (pow (+ alpha (+ (* 2.0 i) 2.0)) 2) (pow (+ alpha (* 2.0 i)) 2)))) in alpha
7.909 * [taylor]: Taking taylor expansion of 2.0 in alpha
7.909 * [backup-simplify]: Simplify 2.0 into 2.0
7.909 * [taylor]: Taking taylor expansion of (/ 1 (* (pow (+ alpha (+ (* 2.0 i) 2.0)) 2) (pow (+ alpha (* 2.0 i)) 2))) in alpha
7.909 * [taylor]: Taking taylor expansion of (* (pow (+ alpha (+ (* 2.0 i) 2.0)) 2) (pow (+ alpha (* 2.0 i)) 2)) in alpha
7.909 * [taylor]: Taking taylor expansion of (pow (+ alpha (+ (* 2.0 i) 2.0)) 2) in alpha
7.909 * [taylor]: Taking taylor expansion of (+ alpha (+ (* 2.0 i) 2.0)) in alpha
7.909 * [taylor]: Taking taylor expansion of alpha in alpha
7.909 * [backup-simplify]: Simplify 0 into 0
7.909 * [backup-simplify]: Simplify 1 into 1
7.909 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) 2.0) in alpha
7.909 * [taylor]: Taking taylor expansion of (* 2.0 i) in alpha
7.909 * [taylor]: Taking taylor expansion of 2.0 in alpha
7.909 * [backup-simplify]: Simplify 2.0 into 2.0
7.909 * [taylor]: Taking taylor expansion of i in alpha
7.909 * [backup-simplify]: Simplify i into i
7.909 * [taylor]: Taking taylor expansion of 2.0 in alpha
7.909 * [backup-simplify]: Simplify 2.0 into 2.0
7.909 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
7.909 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
7.909 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 i) 2.0)) into (+ (* 2.0 i) 2.0)
7.910 * [taylor]: Taking taylor expansion of (pow (+ alpha (* 2.0 i)) 2) in alpha
7.910 * [taylor]: Taking taylor expansion of (+ alpha (* 2.0 i)) in alpha
7.910 * [taylor]: Taking taylor expansion of alpha in alpha
7.910 * [backup-simplify]: Simplify 0 into 0
7.910 * [backup-simplify]: Simplify 1 into 1
7.910 * [taylor]: Taking taylor expansion of (* 2.0 i) in alpha
7.910 * [taylor]: Taking taylor expansion of 2.0 in alpha
7.910 * [backup-simplify]: Simplify 2.0 into 2.0
7.910 * [taylor]: Taking taylor expansion of i in alpha
7.910 * [backup-simplify]: Simplify i into i
7.910 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
7.910 * [backup-simplify]: Simplify (+ 0 (* 2.0 i)) into (* 2.0 i)
7.910 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
7.910 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
7.911 * [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)))
7.911 * [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)))
7.911 * [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
7.911 * [taylor]: Taking taylor expansion of (* 4.0 (/ alpha (* (pow (+ alpha (* 2.0 i)) 3) (pow (+ alpha (+ (* 2.0 i) 2.0)) 3)))) in alpha
7.911 * [taylor]: Taking taylor expansion of 4.0 in alpha
7.911 * [backup-simplify]: Simplify 4.0 into 4.0
7.911 * [taylor]: Taking taylor expansion of (/ alpha (* (pow (+ alpha (* 2.0 i)) 3) (pow (+ alpha (+ (* 2.0 i) 2.0)) 3))) in alpha
7.911 * [taylor]: Taking taylor expansion of alpha in alpha
7.912 * [backup-simplify]: Simplify 0 into 0
7.912 * [backup-simplify]: Simplify 1 into 1
7.912 * [taylor]: Taking taylor expansion of (* (pow (+ alpha (* 2.0 i)) 3) (pow (+ alpha (+ (* 2.0 i) 2.0)) 3)) in alpha
7.912 * [taylor]: Taking taylor expansion of (pow (+ alpha (* 2.0 i)) 3) in alpha
7.912 * [taylor]: Taking taylor expansion of (+ alpha (* 2.0 i)) in alpha
7.912 * [taylor]: Taking taylor expansion of alpha in alpha
7.912 * [backup-simplify]: Simplify 0 into 0
7.912 * [backup-simplify]: Simplify 1 into 1
7.912 * [taylor]: Taking taylor expansion of (* 2.0 i) in alpha
7.912 * [taylor]: Taking taylor expansion of 2.0 in alpha
7.912 * [backup-simplify]: Simplify 2.0 into 2.0
7.912 * [taylor]: Taking taylor expansion of i in alpha
7.912 * [backup-simplify]: Simplify i into i
7.912 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
7.912 * [backup-simplify]: Simplify (+ 0 (* 2.0 i)) into (* 2.0 i)
7.912 * [taylor]: Taking taylor expansion of (pow (+ alpha (+ (* 2.0 i) 2.0)) 3) in alpha
7.912 * [taylor]: Taking taylor expansion of (+ alpha (+ (* 2.0 i) 2.0)) in alpha
7.912 * [taylor]: Taking taylor expansion of alpha in alpha
7.912 * [backup-simplify]: Simplify 0 into 0
7.912 * [backup-simplify]: Simplify 1 into 1
7.912 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) 2.0) in alpha
7.912 * [taylor]: Taking taylor expansion of (* 2.0 i) in alpha
7.912 * [taylor]: Taking taylor expansion of 2.0 in alpha
7.913 * [backup-simplify]: Simplify 2.0 into 2.0
7.913 * [taylor]: Taking taylor expansion of i in alpha
7.913 * [backup-simplify]: Simplify i into i
7.913 * [taylor]: Taking taylor expansion of 2.0 in alpha
7.913 * [backup-simplify]: Simplify 2.0 into 2.0
7.913 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
7.913 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
7.913 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 i) 2.0)) into (+ (* 2.0 i) 2.0)
7.913 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
7.914 * [backup-simplify]: Simplify (* (* 2.0 i) (* 4.0 (pow i 2))) into (* 8.0 (pow i 3))
7.914 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
7.914 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (pow (+ (* 2.0 i) 2.0) 2)) into (pow (+ (* 2.0 i) 2.0) 3)
7.914 * [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)))
7.915 * [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)))
7.915 * [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
7.915 * [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
7.915 * [taylor]: Taking taylor expansion of 8.0 in alpha
7.915 * [backup-simplify]: Simplify 8.0 into 8.0
7.915 * [taylor]: Taking taylor expansion of (/ (pow alpha 2) (* (pow (+ alpha (* 2.0 i)) 3) (pow (+ alpha (+ (* 2.0 i) 2.0)) 3))) in alpha
7.915 * [taylor]: Taking taylor expansion of (pow alpha 2) in alpha
7.915 * [taylor]: Taking taylor expansion of alpha in alpha
7.915 * [backup-simplify]: Simplify 0 into 0
7.915 * [backup-simplify]: Simplify 1 into 1
7.915 * [taylor]: Taking taylor expansion of (* (pow (+ alpha (* 2.0 i)) 3) (pow (+ alpha (+ (* 2.0 i) 2.0)) 3)) in alpha
7.915 * [taylor]: Taking taylor expansion of (pow (+ alpha (* 2.0 i)) 3) in alpha
7.915 * [taylor]: Taking taylor expansion of (+ alpha (* 2.0 i)) in alpha
7.915 * [taylor]: Taking taylor expansion of alpha in alpha
7.916 * [backup-simplify]: Simplify 0 into 0
7.916 * [backup-simplify]: Simplify 1 into 1
7.916 * [taylor]: Taking taylor expansion of (* 2.0 i) in alpha
7.916 * [taylor]: Taking taylor expansion of 2.0 in alpha
7.916 * [backup-simplify]: Simplify 2.0 into 2.0
7.916 * [taylor]: Taking taylor expansion of i in alpha
7.916 * [backup-simplify]: Simplify i into i
7.916 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
7.916 * [backup-simplify]: Simplify (+ 0 (* 2.0 i)) into (* 2.0 i)
7.916 * [taylor]: Taking taylor expansion of (pow (+ alpha (+ (* 2.0 i) 2.0)) 3) in alpha
7.916 * [taylor]: Taking taylor expansion of (+ alpha (+ (* 2.0 i) 2.0)) in alpha
7.916 * [taylor]: Taking taylor expansion of alpha in alpha
7.916 * [backup-simplify]: Simplify 0 into 0
7.916 * [backup-simplify]: Simplify 1 into 1
7.916 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) 2.0) in alpha
7.916 * [taylor]: Taking taylor expansion of (* 2.0 i) in alpha
7.916 * [taylor]: Taking taylor expansion of 2.0 in alpha
7.916 * [backup-simplify]: Simplify 2.0 into 2.0
7.916 * [taylor]: Taking taylor expansion of i in alpha
7.916 * [backup-simplify]: Simplify i into i
7.916 * [taylor]: Taking taylor expansion of 2.0 in alpha
7.916 * [backup-simplify]: Simplify 2.0 into 2.0
7.916 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
7.916 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
7.917 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 i) 2.0)) into (+ (* 2.0 i) 2.0)
7.917 * [backup-simplify]: Simplify (* 1 1) into 1
7.917 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
7.918 * [backup-simplify]: Simplify (* (* 2.0 i) (* 4.0 (pow i 2))) into (* 8.0 (pow i 3))
7.918 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
7.918 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (pow (+ (* 2.0 i) 2.0) 2)) into (pow (+ (* 2.0 i) 2.0) 3)
7.918 * [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)))
7.919 * [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)))
7.919 * [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
7.919 * [taylor]: Taking taylor expansion of (/ alpha (* (pow (+ alpha (* 2.0 i)) 2) (pow (+ alpha (+ (* 2.0 i) 2.0)) 2))) in alpha
7.919 * [taylor]: Taking taylor expansion of alpha in alpha
7.919 * [backup-simplify]: Simplify 0 into 0
7.919 * [backup-simplify]: Simplify 1 into 1
7.919 * [taylor]: Taking taylor expansion of (* (pow (+ alpha (* 2.0 i)) 2) (pow (+ alpha (+ (* 2.0 i) 2.0)) 2)) in alpha
7.919 * [taylor]: Taking taylor expansion of (pow (+ alpha (* 2.0 i)) 2) in alpha
7.919 * [taylor]: Taking taylor expansion of (+ alpha (* 2.0 i)) in alpha
7.919 * [taylor]: Taking taylor expansion of alpha in alpha
7.919 * [backup-simplify]: Simplify 0 into 0
7.919 * [backup-simplify]: Simplify 1 into 1
7.919 * [taylor]: Taking taylor expansion of (* 2.0 i) in alpha
7.919 * [taylor]: Taking taylor expansion of 2.0 in alpha
7.919 * [backup-simplify]: Simplify 2.0 into 2.0
7.919 * [taylor]: Taking taylor expansion of i in alpha
7.919 * [backup-simplify]: Simplify i into i
7.919 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
7.920 * [backup-simplify]: Simplify (+ 0 (* 2.0 i)) into (* 2.0 i)
7.920 * [taylor]: Taking taylor expansion of (pow (+ alpha (+ (* 2.0 i) 2.0)) 2) in alpha
7.920 * [taylor]: Taking taylor expansion of (+ alpha (+ (* 2.0 i) 2.0)) in alpha
7.920 * [taylor]: Taking taylor expansion of alpha in alpha
7.920 * [backup-simplify]: Simplify 0 into 0
7.920 * [backup-simplify]: Simplify 1 into 1
7.920 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) 2.0) in alpha
7.920 * [taylor]: Taking taylor expansion of (* 2.0 i) in alpha
7.920 * [taylor]: Taking taylor expansion of 2.0 in alpha
7.920 * [backup-simplify]: Simplify 2.0 into 2.0
7.920 * [taylor]: Taking taylor expansion of i in alpha
7.920 * [backup-simplify]: Simplify i into i
7.920 * [taylor]: Taking taylor expansion of 2.0 in alpha
7.920 * [backup-simplify]: Simplify 2.0 into 2.0
7.920 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
7.920 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
7.920 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 i) 2.0)) into (+ (* 2.0 i) 2.0)
7.920 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
7.921 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
7.921 * [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)))
7.921 * [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)))
7.921 * [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
7.921 * [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
7.922 * [taylor]: Taking taylor expansion of 16.0 in alpha
7.922 * [backup-simplify]: Simplify 16.0 into 16.0
7.922 * [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
7.922 * [taylor]: Taking taylor expansion of (* alpha (pow i 2)) in alpha
7.922 * [taylor]: Taking taylor expansion of alpha in alpha
7.922 * [backup-simplify]: Simplify 0 into 0
7.922 * [backup-simplify]: Simplify 1 into 1
7.922 * [taylor]: Taking taylor expansion of (pow i 2) in alpha
7.922 * [taylor]: Taking taylor expansion of i in alpha
7.922 * [backup-simplify]: Simplify i into i
7.922 * [taylor]: Taking taylor expansion of (* (pow (+ alpha (* 2.0 i)) 3) (pow (+ alpha (+ (* 2.0 i) 2.0)) 3)) in alpha
7.922 * [taylor]: Taking taylor expansion of (pow (+ alpha (* 2.0 i)) 3) in alpha
7.922 * [taylor]: Taking taylor expansion of (+ alpha (* 2.0 i)) in alpha
7.922 * [taylor]: Taking taylor expansion of alpha in alpha
7.922 * [backup-simplify]: Simplify 0 into 0
7.922 * [backup-simplify]: Simplify 1 into 1
7.922 * [taylor]: Taking taylor expansion of (* 2.0 i) in alpha
7.922 * [taylor]: Taking taylor expansion of 2.0 in alpha
7.922 * [backup-simplify]: Simplify 2.0 into 2.0
7.922 * [taylor]: Taking taylor expansion of i in alpha
7.922 * [backup-simplify]: Simplify i into i
7.922 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
7.922 * [backup-simplify]: Simplify (+ 0 (* 2.0 i)) into (* 2.0 i)
7.922 * [taylor]: Taking taylor expansion of (pow (+ alpha (+ (* 2.0 i) 2.0)) 3) in alpha
7.922 * [taylor]: Taking taylor expansion of (+ alpha (+ (* 2.0 i) 2.0)) in alpha
7.922 * [taylor]: Taking taylor expansion of alpha in alpha
7.922 * [backup-simplify]: Simplify 0 into 0
7.922 * [backup-simplify]: Simplify 1 into 1
7.923 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) 2.0) in alpha
7.923 * [taylor]: Taking taylor expansion of (* 2.0 i) in alpha
7.923 * [taylor]: Taking taylor expansion of 2.0 in alpha
7.923 * [backup-simplify]: Simplify 2.0 into 2.0
7.923 * [taylor]: Taking taylor expansion of i in alpha
7.923 * [backup-simplify]: Simplify i into i
7.923 * [taylor]: Taking taylor expansion of 2.0 in alpha
7.923 * [backup-simplify]: Simplify 2.0 into 2.0
7.923 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
7.923 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
7.923 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 i) 2.0)) into (+ (* 2.0 i) 2.0)
7.923 * [backup-simplify]: Simplify (* i i) into (pow i 2)
7.923 * [backup-simplify]: Simplify (* 0 (pow i 2)) into 0
7.923 * [backup-simplify]: Simplify (+ (* i 0) (* 0 i)) into 0
7.924 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (pow i 2))) into (pow i 2)
7.924 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
7.924 * [backup-simplify]: Simplify (* (* 2.0 i) (* 4.0 (pow i 2))) into (* 8.0 (pow i 3))
7.925 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
7.925 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (pow (+ (* 2.0 i) 2.0) 2)) into (pow (+ (* 2.0 i) 2.0) 3)
7.925 * [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)))
7.926 * [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)))
7.926 * [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
7.926 * [taylor]: Taking taylor expansion of 16.0 in alpha
7.926 * [backup-simplify]: Simplify 16.0 into 16.0
7.926 * [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
7.926 * [taylor]: Taking taylor expansion of (* (pow alpha 2) i) in alpha
7.926 * [taylor]: Taking taylor expansion of (pow alpha 2) in alpha
7.926 * [taylor]: Taking taylor expansion of alpha in alpha
7.926 * [backup-simplify]: Simplify 0 into 0
7.926 * [backup-simplify]: Simplify 1 into 1
7.926 * [taylor]: Taking taylor expansion of i in alpha
7.926 * [backup-simplify]: Simplify i into i
7.926 * [taylor]: Taking taylor expansion of (* (pow (+ alpha (* 2.0 i)) 3) (pow (+ alpha (+ (* 2.0 i) 2.0)) 3)) in alpha
7.926 * [taylor]: Taking taylor expansion of (pow (+ alpha (* 2.0 i)) 3) in alpha
7.926 * [taylor]: Taking taylor expansion of (+ alpha (* 2.0 i)) in alpha
7.926 * [taylor]: Taking taylor expansion of alpha in alpha
7.926 * [backup-simplify]: Simplify 0 into 0
7.926 * [backup-simplify]: Simplify 1 into 1
7.927 * [taylor]: Taking taylor expansion of (* 2.0 i) in alpha
7.927 * [taylor]: Taking taylor expansion of 2.0 in alpha
7.927 * [backup-simplify]: Simplify 2.0 into 2.0
7.927 * [taylor]: Taking taylor expansion of i in alpha
7.927 * [backup-simplify]: Simplify i into i
7.927 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
7.927 * [backup-simplify]: Simplify (+ 0 (* 2.0 i)) into (* 2.0 i)
7.927 * [taylor]: Taking taylor expansion of (pow (+ alpha (+ (* 2.0 i) 2.0)) 3) in alpha
7.927 * [taylor]: Taking taylor expansion of (+ alpha (+ (* 2.0 i) 2.0)) in alpha
7.927 * [taylor]: Taking taylor expansion of alpha in alpha
7.927 * [backup-simplify]: Simplify 0 into 0
7.927 * [backup-simplify]: Simplify 1 into 1
7.927 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) 2.0) in alpha
7.927 * [taylor]: Taking taylor expansion of (* 2.0 i) in alpha
7.927 * [taylor]: Taking taylor expansion of 2.0 in alpha
7.927 * [backup-simplify]: Simplify 2.0 into 2.0
7.927 * [taylor]: Taking taylor expansion of i in alpha
7.927 * [backup-simplify]: Simplify i into i
7.927 * [taylor]: Taking taylor expansion of 2.0 in alpha
7.927 * [backup-simplify]: Simplify 2.0 into 2.0
7.927 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
7.927 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
7.927 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 i) 2.0)) into (+ (* 2.0 i) 2.0)
7.928 * [backup-simplify]: Simplify (* 1 1) into 1
7.928 * [backup-simplify]: Simplify (* 1 i) into i
7.928 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
7.928 * [backup-simplify]: Simplify (* (* 2.0 i) (* 4.0 (pow i 2))) into (* 8.0 (pow i 3))
7.928 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
7.929 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (pow (+ (* 2.0 i) 2.0) 2)) into (pow (+ (* 2.0 i) 2.0) 3)
7.929 * [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)))
7.929 * [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)))
7.930 * [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)))
7.930 * [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)))
7.930 * [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))))
7.931 * [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))))
7.931 * [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)))))
7.932 * [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)))))
7.933 * [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))))))
7.933 * [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
7.933 * [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
7.933 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (* i (pow (+ (* 2.0 i) 2.0) 2)))) in i
7.933 * [taylor]: Taking taylor expansion of 1.0 in i
7.933 * [backup-simplify]: Simplify 1.0 into 1.0
7.933 * [taylor]: Taking taylor expansion of (/ 1 (* i (pow (+ (* 2.0 i) 2.0) 2))) in i
7.933 * [taylor]: Taking taylor expansion of (* i (pow (+ (* 2.0 i) 2.0) 2)) in i
7.933 * [taylor]: Taking taylor expansion of i in i
7.933 * [backup-simplify]: Simplify 0 into 0
7.933 * [backup-simplify]: Simplify 1 into 1
7.933 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) 2.0) 2) in i
7.933 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) 2.0) in i
7.933 * [taylor]: Taking taylor expansion of (* 2.0 i) in i
7.933 * [taylor]: Taking taylor expansion of 2.0 in i
7.933 * [backup-simplify]: Simplify 2.0 into 2.0
7.933 * [taylor]: Taking taylor expansion of i in i
7.933 * [backup-simplify]: Simplify 0 into 0
7.933 * [backup-simplify]: Simplify 1 into 1
7.933 * [taylor]: Taking taylor expansion of 2.0 in i
7.933 * [backup-simplify]: Simplify 2.0 into 2.0
7.934 * [backup-simplify]: Simplify (* 2.0 0) into 0
7.935 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
7.935 * [backup-simplify]: Simplify (* 2.0 2.0) into 4.0
7.935 * [backup-simplify]: Simplify (* 0 4.0) into 0
7.937 * [backup-simplify]: Simplify (+ (* 2.0 1) (* 0 0)) into 2.0
7.937 * [backup-simplify]: Simplify (+ 2.0 0) into 2.0
7.938 * [backup-simplify]: Simplify (+ (* 2.0 2.0) (* 2.0 2.0)) into 8.0
7.940 * [backup-simplify]: Simplify (+ (* 0 8.0) (* 1 4.0)) into 4.0
7.941 * [backup-simplify]: Simplify (/ 1 4.0) into 0.25
7.941 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (* (pow (+ (* 2.0 i) 2.0) 2) (pow i 2)))) in i
7.941 * [taylor]: Taking taylor expansion of 0.5 in i
7.941 * [backup-simplify]: Simplify 0.5 into 0.5
7.941 * [taylor]: Taking taylor expansion of (/ 1 (* (pow (+ (* 2.0 i) 2.0) 2) (pow i 2))) in i
7.941 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) 2.0) 2) (pow i 2)) in i
7.941 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) 2.0) 2) in i
7.941 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) 2.0) in i
7.941 * [taylor]: Taking taylor expansion of (* 2.0 i) in i
7.941 * [taylor]: Taking taylor expansion of 2.0 in i
7.941 * [backup-simplify]: Simplify 2.0 into 2.0
7.941 * [taylor]: Taking taylor expansion of i in i
7.941 * [backup-simplify]: Simplify 0 into 0
7.941 * [backup-simplify]: Simplify 1 into 1
7.941 * [taylor]: Taking taylor expansion of 2.0 in i
7.941 * [backup-simplify]: Simplify 2.0 into 2.0
7.941 * [backup-simplify]: Simplify (* 2.0 0) into 0
7.942 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
7.942 * [taylor]: Taking taylor expansion of (pow i 2) in i
7.942 * [taylor]: Taking taylor expansion of i in i
7.942 * [backup-simplify]: Simplify 0 into 0
7.942 * [backup-simplify]: Simplify 1 into 1
7.942 * [backup-simplify]: Simplify (* 2.0 2.0) into 4.0
7.943 * [backup-simplify]: Simplify (* 1 1) into 1
7.943 * [backup-simplify]: Simplify (* 4.0 1) into 4.0
7.943 * [backup-simplify]: Simplify (/ 1 4.0) into 0.25
7.944 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 1) (* 0 0))) into 0
7.945 * [backup-simplify]: Simplify (+ 0 0) into 0
7.947 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 2.0 2.0) (* 0 2.0))) into 4.0
7.950 * [backup-simplify]: Simplify (+ (* 0 4.0) (+ (* 1 8.0) (* 0 4.0))) into 8.0
7.952 * [backup-simplify]: Simplify (- (+ (* 0.25 (/ 8.0 4.0)))) into (- 0.5)
7.954 * [backup-simplify]: Simplify (+ (* 1.0 (- 0.5)) (* 0 0.25)) into (- 0.5)
7.955 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.956 * [backup-simplify]: Simplify (+ (* 2.0 1) (* 0 0)) into 2.0
7.957 * [backup-simplify]: Simplify (+ 2.0 0) into 2.0
7.958 * [backup-simplify]: Simplify (+ (* 2.0 2.0) (* 2.0 2.0)) into 8.0
7.959 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.959 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 1) (* 0 0))) into 0
7.960 * [backup-simplify]: Simplify (+ 0 0) into 0
7.962 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 2.0 2.0) (* 0 2.0))) into 4.0
7.965 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 8.0 0) (* 4.0 1))) into 4.0
7.966 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 8.0 1)) into 8.0
7.968 * [backup-simplify]: Simplify (- (+ (* 0.25 (/ 8.0 4.0)))) into (- 0.5)
7.973 * [backup-simplify]: Simplify (- (+ (* 0.25 (/ 4.0 4.0)) (* (- 0.5) (/ 8.0 4.0)))) into 0.75
7.975 * [backup-simplify]: Simplify (+ (* 0.5 0.75) (+ (* 0 (- 0.5)) (* 0 0.25))) into 0.375
7.976 * [backup-simplify]: Simplify (+ (- 0.5) 0.375) into (- 0.125)
7.977 * [backup-simplify]: Simplify (- (- 0.125)) into 0.125
7.977 * [backup-simplify]: Simplify 0.125 into 0.125
7.978 * [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))
7.978 * [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)))))
7.978 * [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
7.978 * [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
7.979 * [taylor]: Taking taylor expansion of (- (/ 1 beta) (/ 1 alpha)) in i
7.979 * [taylor]: Taking taylor expansion of (/ 1 beta) in i
7.979 * [taylor]: Taking taylor expansion of beta in i
7.979 * [backup-simplify]: Simplify beta into beta
7.979 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
7.979 * [taylor]: Taking taylor expansion of (/ 1 alpha) in i
7.979 * [taylor]: Taking taylor expansion of alpha in i
7.979 * [backup-simplify]: Simplify alpha into alpha
7.979 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
7.979 * [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
7.979 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) in i
7.979 * [taylor]: Taking taylor expansion of (/ 1 alpha) in i
7.979 * [taylor]: Taking taylor expansion of alpha in i
7.979 * [backup-simplify]: Simplify alpha into alpha
7.979 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
7.979 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0)) in i
7.979 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in i
7.979 * [taylor]: Taking taylor expansion of 2.0 in i
7.979 * [backup-simplify]: Simplify 2.0 into 2.0
7.979 * [taylor]: Taking taylor expansion of (/ 1 i) in i
7.979 * [taylor]: Taking taylor expansion of i in i
7.979 * [backup-simplify]: Simplify 0 into 0
7.979 * [backup-simplify]: Simplify 1 into 1
7.980 * [backup-simplify]: Simplify (/ 1 1) into 1
7.980 * [taylor]: Taking taylor expansion of (+ (/ 1 beta) 2.0) in i
7.980 * [taylor]: Taking taylor expansion of (/ 1 beta) in i
7.980 * [taylor]: Taking taylor expansion of beta in i
7.980 * [backup-simplify]: Simplify beta into beta
7.980 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
7.980 * [taylor]: Taking taylor expansion of 2.0 in i
7.980 * [backup-simplify]: Simplify 2.0 into 2.0
7.980 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in i
7.980 * [taylor]: Taking taylor expansion of (/ 1 alpha) in i
7.980 * [taylor]: Taking taylor expansion of alpha in i
7.980 * [backup-simplify]: Simplify alpha into alpha
7.980 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
7.980 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in i
7.980 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in i
7.980 * [taylor]: Taking taylor expansion of 2.0 in i
7.980 * [backup-simplify]: Simplify 2.0 into 2.0
7.980 * [taylor]: Taking taylor expansion of (/ 1 i) in i
7.980 * [taylor]: Taking taylor expansion of i in i
7.980 * [backup-simplify]: Simplify 0 into 0
7.980 * [backup-simplify]: Simplify 1 into 1
7.981 * [backup-simplify]: Simplify (/ 1 1) into 1
7.981 * [taylor]: Taking taylor expansion of (/ 1 beta) in i
7.981 * [taylor]: Taking taylor expansion of beta in i
7.981 * [backup-simplify]: Simplify beta into beta
7.981 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
7.981 * [backup-simplify]: Simplify (- (/ 1 alpha)) into (- (/ 1 alpha))
7.981 * [backup-simplify]: Simplify (+ (/ 1 beta) (- (/ 1 alpha))) into (- (/ 1 beta) (/ 1 alpha))
7.981 * [backup-simplify]: Simplify (* 2.0 1) into 2.0
7.982 * [backup-simplify]: Simplify (+ 2.0 0) into 2.0
7.982 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
7.983 * [backup-simplify]: Simplify (* 2.0 1) into 2.0
7.983 * [backup-simplify]: Simplify (+ 2.0 0) into 2.0
7.984 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
7.984 * [backup-simplify]: Simplify (* 2.0 2.0) into 4.0
7.984 * [backup-simplify]: Simplify (/ (- (/ 1 beta) (/ 1 alpha)) 4.0) into (* 0.25 (- (/ 1 beta) (/ 1 alpha)))
7.984 * [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
7.984 * [taylor]: Taking taylor expansion of (- (/ 1 beta) (/ 1 alpha)) in alpha
7.984 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
7.984 * [taylor]: Taking taylor expansion of beta in alpha
7.984 * [backup-simplify]: Simplify beta into beta
7.985 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
7.985 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
7.985 * [taylor]: Taking taylor expansion of alpha in alpha
7.985 * [backup-simplify]: Simplify 0 into 0
7.985 * [backup-simplify]: Simplify 1 into 1
7.985 * [backup-simplify]: Simplify (/ 1 1) into 1
7.985 * [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
7.985 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) in alpha
7.985 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
7.985 * [taylor]: Taking taylor expansion of alpha in alpha
7.985 * [backup-simplify]: Simplify 0 into 0
7.985 * [backup-simplify]: Simplify 1 into 1
7.986 * [backup-simplify]: Simplify (/ 1 1) into 1
7.986 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0)) in alpha
7.986 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
7.986 * [taylor]: Taking taylor expansion of 2.0 in alpha
7.986 * [backup-simplify]: Simplify 2.0 into 2.0
7.986 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
7.986 * [taylor]: Taking taylor expansion of i in alpha
7.986 * [backup-simplify]: Simplify i into i
7.986 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
7.986 * [taylor]: Taking taylor expansion of (+ (/ 1 beta) 2.0) in alpha
7.986 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
7.986 * [taylor]: Taking taylor expansion of beta in alpha
7.986 * [backup-simplify]: Simplify beta into beta
7.986 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
7.986 * [taylor]: Taking taylor expansion of 2.0 in alpha
7.986 * [backup-simplify]: Simplify 2.0 into 2.0
7.986 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in alpha
7.986 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
7.986 * [taylor]: Taking taylor expansion of alpha in alpha
7.986 * [backup-simplify]: Simplify 0 into 0
7.986 * [backup-simplify]: Simplify 1 into 1
7.987 * [backup-simplify]: Simplify (/ 1 1) into 1
7.987 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in alpha
7.987 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
7.987 * [taylor]: Taking taylor expansion of 2.0 in alpha
7.987 * [backup-simplify]: Simplify 2.0 into 2.0
7.987 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
7.987 * [taylor]: Taking taylor expansion of i in alpha
7.987 * [backup-simplify]: Simplify i into i
7.987 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
7.987 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
7.987 * [taylor]: Taking taylor expansion of beta in alpha
7.987 * [backup-simplify]: Simplify beta into beta
7.987 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
7.988 * [backup-simplify]: Simplify (- 1) into -1
7.988 * [backup-simplify]: Simplify (+ 0 -1) into -1
7.989 * [backup-simplify]: Simplify (+ 1 0) into 1
7.989 * [backup-simplify]: Simplify (+ 1 0) into 1
7.990 * [backup-simplify]: Simplify (* 1 1) into 1
7.990 * [backup-simplify]: Simplify (/ -1 1) into -1
7.990 * [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
7.990 * [taylor]: Taking taylor expansion of (- (/ 1 beta) (/ 1 alpha)) in beta
7.990 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
7.990 * [taylor]: Taking taylor expansion of beta in beta
7.990 * [backup-simplify]: Simplify 0 into 0
7.990 * [backup-simplify]: Simplify 1 into 1
7.991 * [backup-simplify]: Simplify (/ 1 1) into 1
7.991 * [taylor]: Taking taylor expansion of (/ 1 alpha) in beta
7.991 * [taylor]: Taking taylor expansion of alpha in beta
7.991 * [backup-simplify]: Simplify alpha into alpha
7.991 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
7.991 * [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
7.991 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) in beta
7.991 * [taylor]: Taking taylor expansion of (/ 1 alpha) in beta
7.991 * [taylor]: Taking taylor expansion of alpha in beta
7.991 * [backup-simplify]: Simplify alpha into alpha
7.991 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
7.991 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0)) in beta
7.991 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in beta
7.991 * [taylor]: Taking taylor expansion of 2.0 in beta
7.991 * [backup-simplify]: Simplify 2.0 into 2.0
7.991 * [taylor]: Taking taylor expansion of (/ 1 i) in beta
7.991 * [taylor]: Taking taylor expansion of i in beta
7.991 * [backup-simplify]: Simplify i into i
7.991 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
7.991 * [taylor]: Taking taylor expansion of (+ (/ 1 beta) 2.0) in beta
7.991 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
7.991 * [taylor]: Taking taylor expansion of beta in beta
7.991 * [backup-simplify]: Simplify 0 into 0
7.991 * [backup-simplify]: Simplify 1 into 1
7.992 * [backup-simplify]: Simplify (/ 1 1) into 1
7.992 * [taylor]: Taking taylor expansion of 2.0 in beta
7.992 * [backup-simplify]: Simplify 2.0 into 2.0
7.992 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in beta
7.992 * [taylor]: Taking taylor expansion of (/ 1 alpha) in beta
7.992 * [taylor]: Taking taylor expansion of alpha in beta
7.992 * [backup-simplify]: Simplify alpha into alpha
7.992 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
7.992 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in beta
7.992 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in beta
7.992 * [taylor]: Taking taylor expansion of 2.0 in beta
7.992 * [backup-simplify]: Simplify 2.0 into 2.0
7.992 * [taylor]: Taking taylor expansion of (/ 1 i) in beta
7.992 * [taylor]: Taking taylor expansion of i in beta
7.992 * [backup-simplify]: Simplify i into i
7.992 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
7.992 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
7.992 * [taylor]: Taking taylor expansion of beta in beta
7.992 * [backup-simplify]: Simplify 0 into 0
7.992 * [backup-simplify]: Simplify 1 into 1
7.993 * [backup-simplify]: Simplify (/ 1 1) into 1
7.993 * [backup-simplify]: Simplify (+ 1 0) into 1
7.994 * [backup-simplify]: Simplify (+ 1 0) into 1
7.994 * [backup-simplify]: Simplify (+ 0 1) into 1
7.994 * [backup-simplify]: Simplify (+ 0 1) into 1
7.995 * [backup-simplify]: Simplify (+ 0 1) into 1
7.995 * [backup-simplify]: Simplify (+ 0 1) into 1
7.996 * [backup-simplify]: Simplify (* 1 1) into 1
7.996 * [backup-simplify]: Simplify (/ 1 1) into 1
7.996 * [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
7.996 * [taylor]: Taking taylor expansion of (- (/ 1 beta) (/ 1 alpha)) in beta
7.996 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
7.996 * [taylor]: Taking taylor expansion of beta in beta
7.996 * [backup-simplify]: Simplify 0 into 0
7.996 * [backup-simplify]: Simplify 1 into 1
7.997 * [backup-simplify]: Simplify (/ 1 1) into 1
7.997 * [taylor]: Taking taylor expansion of (/ 1 alpha) in beta
7.997 * [taylor]: Taking taylor expansion of alpha in beta
7.997 * [backup-simplify]: Simplify alpha into alpha
7.997 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
7.997 * [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
7.997 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) in beta
7.997 * [taylor]: Taking taylor expansion of (/ 1 alpha) in beta
7.997 * [taylor]: Taking taylor expansion of alpha in beta
7.997 * [backup-simplify]: Simplify alpha into alpha
7.997 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
7.997 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0)) in beta
7.997 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in beta
7.997 * [taylor]: Taking taylor expansion of 2.0 in beta
7.997 * [backup-simplify]: Simplify 2.0 into 2.0
7.997 * [taylor]: Taking taylor expansion of (/ 1 i) in beta
7.997 * [taylor]: Taking taylor expansion of i in beta
7.997 * [backup-simplify]: Simplify i into i
7.997 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
7.997 * [taylor]: Taking taylor expansion of (+ (/ 1 beta) 2.0) in beta
7.997 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
7.997 * [taylor]: Taking taylor expansion of beta in beta
7.997 * [backup-simplify]: Simplify 0 into 0
7.997 * [backup-simplify]: Simplify 1 into 1
7.998 * [backup-simplify]: Simplify (/ 1 1) into 1
7.998 * [taylor]: Taking taylor expansion of 2.0 in beta
7.998 * [backup-simplify]: Simplify 2.0 into 2.0
7.998 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in beta
7.998 * [taylor]: Taking taylor expansion of (/ 1 alpha) in beta
7.998 * [taylor]: Taking taylor expansion of alpha in beta
7.998 * [backup-simplify]: Simplify alpha into alpha
7.998 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
7.998 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in beta
7.998 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in beta
7.998 * [taylor]: Taking taylor expansion of 2.0 in beta
7.998 * [backup-simplify]: Simplify 2.0 into 2.0
7.998 * [taylor]: Taking taylor expansion of (/ 1 i) in beta
7.998 * [taylor]: Taking taylor expansion of i in beta
7.998 * [backup-simplify]: Simplify i into i
7.998 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
7.998 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
7.998 * [taylor]: Taking taylor expansion of beta in beta
7.998 * [backup-simplify]: Simplify 0 into 0
7.998 * [backup-simplify]: Simplify 1 into 1
7.999 * [backup-simplify]: Simplify (/ 1 1) into 1
7.999 * [backup-simplify]: Simplify (+ 1 0) into 1
8.000 * [backup-simplify]: Simplify (+ 1 0) into 1
8.000 * [backup-simplify]: Simplify (+ 0 1) into 1
8.000 * [backup-simplify]: Simplify (+ 0 1) into 1
8.001 * [backup-simplify]: Simplify (+ 0 1) into 1
8.001 * [backup-simplify]: Simplify (+ 0 1) into 1
8.001 * [backup-simplify]: Simplify (* 1 1) into 1
8.002 * [backup-simplify]: Simplify (/ 1 1) into 1
8.002 * [taylor]: Taking taylor expansion of 1 in alpha
8.002 * [backup-simplify]: Simplify 1 into 1
8.002 * [taylor]: Taking taylor expansion of 0 in i
8.002 * [backup-simplify]: Simplify 0 into 0
8.002 * [backup-simplify]: Simplify 0 into 0
8.003 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.003 * [backup-simplify]: Simplify (- (/ 1 alpha)) into (- (/ 1 alpha))
8.003 * [backup-simplify]: Simplify (+ 0 (- (/ 1 alpha))) into (- (/ 1 alpha))
8.003 * [backup-simplify]: Simplify (* 2.0 (/ 1 i)) into (/ 2.0 i)
8.004 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.004 * [backup-simplify]: Simplify (+ (/ 2.0 i) 0) into (* 2.0 (/ 1 i))
8.004 * [backup-simplify]: Simplify (+ (/ 1 alpha) (* 2.0 (/ 1 i))) into (+ (/ 1 alpha) (* 2.0 (/ 1 i)))
8.004 * [backup-simplify]: Simplify (* 2.0 (/ 1 i)) into (/ 2.0 i)
8.005 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.005 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
8.006 * [backup-simplify]: Simplify (+ (/ 2.0 i) 2.0) into (+ (* 2.0 (/ 1 i)) 2.0)
8.006 * [backup-simplify]: Simplify (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) 2.0)) into (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) 2.0))
8.006 * [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))
8.007 * [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)))
8.007 * [taylor]: Taking taylor expansion of (- (+ (* 3 (/ 1 alpha)) (+ (* 4.0 (/ 1 i)) 2.0))) in alpha
8.007 * [taylor]: Taking taylor expansion of (+ (* 3 (/ 1 alpha)) (+ (* 4.0 (/ 1 i)) 2.0)) in alpha
8.007 * [taylor]: Taking taylor expansion of (* 3 (/ 1 alpha)) in alpha
8.007 * [taylor]: Taking taylor expansion of 3 in alpha
8.007 * [backup-simplify]: Simplify 3 into 3
8.007 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
8.007 * [taylor]: Taking taylor expansion of alpha in alpha
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 (+ (* 4.0 (/ 1 i)) 2.0) in alpha
8.007 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 i)) in alpha
8.007 * [taylor]: Taking taylor expansion of 4.0 in alpha
8.007 * [backup-simplify]: Simplify 4.0 into 4.0
8.007 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
8.007 * [taylor]: Taking taylor expansion of i in alpha
8.007 * [backup-simplify]: Simplify i into i
8.007 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
8.008 * [taylor]: Taking taylor expansion of 2.0 in alpha
8.008 * [backup-simplify]: Simplify 2.0 into 2.0
8.008 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.009 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.010 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 1))) into 0
8.010 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
8.011 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 i))) into 0
8.011 * [backup-simplify]: Simplify (+ 0 0) into 0
8.011 * [backup-simplify]: Simplify (+ 0 0) into 0
8.012 * [backup-simplify]: Simplify (- 0) into 0
8.012 * [taylor]: Taking taylor expansion of 0 in i
8.012 * [backup-simplify]: Simplify 0 into 0
8.012 * [backup-simplify]: Simplify 0 into 0
8.012 * [taylor]: Taking taylor expansion of 0 in i
8.012 * [backup-simplify]: Simplify 0 into 0
8.012 * [backup-simplify]: Simplify 0 into 0
8.012 * [backup-simplify]: Simplify 0 into 0
8.013 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.013 * [backup-simplify]: Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)))) into 0
8.013 * [backup-simplify]: Simplify (- 0) into 0
8.014 * [backup-simplify]: Simplify (+ 0 0) into 0
8.014 * [backup-simplify]: Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)))) into 0
8.014 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
8.014 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 (/ 1 i))) into 0
8.015 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.016 * [backup-simplify]: Simplify (+ 0 0) into 0
8.016 * [backup-simplify]: Simplify (+ 0 0) into 0
8.017 * [backup-simplify]: Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)))) into 0
8.017 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
8.017 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 (/ 1 i))) into 0
8.018 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.018 * [backup-simplify]: Simplify (+ 0 0) into 0
8.019 * [backup-simplify]: Simplify (+ 0 0) into 0
8.019 * [backup-simplify]: Simplify (+ 0 0) into 0
8.020 * [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))))))
8.023 * [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)))))
8.023 * [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
8.023 * [taylor]: Taking taylor expansion of (* 8.0 (/ 1 alpha)) in alpha
8.023 * [taylor]: Taking taylor expansion of 8.0 in alpha
8.023 * [backup-simplify]: Simplify 8.0 into 8.0
8.023 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
8.023 * [taylor]: Taking taylor expansion of alpha in alpha
8.023 * [backup-simplify]: Simplify 0 into 0
8.023 * [backup-simplify]: Simplify 1 into 1
8.032 * [backup-simplify]: Simplify (/ 1 1) into 1
8.032 * [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
8.032 * [taylor]: Taking taylor expansion of (* 16.0 (/ 1 (* alpha i))) in alpha
8.032 * [taylor]: Taking taylor expansion of 16.0 in alpha
8.032 * [backup-simplify]: Simplify 16.0 into 16.0
8.032 * [taylor]: Taking taylor expansion of (/ 1 (* alpha i)) in alpha
8.032 * [taylor]: Taking taylor expansion of (* alpha i) in alpha
8.032 * [taylor]: Taking taylor expansion of alpha in alpha
8.032 * [backup-simplify]: Simplify 0 into 0
8.032 * [backup-simplify]: Simplify 1 into 1
8.032 * [taylor]: Taking taylor expansion of i in alpha
8.033 * [backup-simplify]: Simplify i into i
8.033 * [backup-simplify]: Simplify (* 0 i) into 0
8.033 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 i)) into i
8.033 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
8.033 * [taylor]: Taking taylor expansion of (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 12.0 (/ 1 i)) (+ (* 5 (/ 1 (pow alpha 2))) 4.0))) in alpha
8.033 * [taylor]: Taking taylor expansion of (* 12.0 (/ 1 (pow i 2))) in alpha
8.033 * [taylor]: Taking taylor expansion of 12.0 in alpha
8.033 * [backup-simplify]: Simplify 12.0 into 12.0
8.033 * [taylor]: Taking taylor expansion of (/ 1 (pow i 2)) in alpha
8.033 * [taylor]: Taking taylor expansion of (pow i 2) in alpha
8.034 * [taylor]: Taking taylor expansion of i in alpha
8.034 * [backup-simplify]: Simplify i into i
8.034 * [backup-simplify]: Simplify (* i i) into (pow i 2)
8.034 * [backup-simplify]: Simplify (/ 1 (pow i 2)) into (/ 1 (pow i 2))
8.034 * [taylor]: Taking taylor expansion of (+ (* 12.0 (/ 1 i)) (+ (* 5 (/ 1 (pow alpha 2))) 4.0)) in alpha
8.034 * [taylor]: Taking taylor expansion of (* 12.0 (/ 1 i)) in alpha
8.034 * [taylor]: Taking taylor expansion of 12.0 in alpha
8.034 * [backup-simplify]: Simplify 12.0 into 12.0
8.034 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
8.034 * [taylor]: Taking taylor expansion of i in alpha
8.034 * [backup-simplify]: Simplify i into i
8.034 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
8.034 * [taylor]: Taking taylor expansion of (+ (* 5 (/ 1 (pow alpha 2))) 4.0) in alpha
8.034 * [taylor]: Taking taylor expansion of (* 5 (/ 1 (pow alpha 2))) in alpha
8.034 * [taylor]: Taking taylor expansion of 5 in alpha
8.034 * [backup-simplify]: Simplify 5 into 5
8.034 * [taylor]: Taking taylor expansion of (/ 1 (pow alpha 2)) in alpha
8.034 * [taylor]: Taking taylor expansion of (pow alpha 2) in alpha
8.034 * [taylor]: Taking taylor expansion of alpha in alpha
8.034 * [backup-simplify]: Simplify 0 into 0
8.034 * [backup-simplify]: Simplify 1 into 1
8.035 * [backup-simplify]: Simplify (* 1 1) into 1
8.035 * [backup-simplify]: Simplify (/ 1 1) into 1
8.035 * [taylor]: Taking taylor expansion of 4.0 in alpha
8.035 * [backup-simplify]: Simplify 4.0 into 4.0
8.036 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.037 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.037 * [backup-simplify]: Simplify (+ (* 8.0 0) (+ (* 0 0) (* 0 1))) into 0
8.039 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 i)))) into 0
8.039 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 i))) into 0
8.039 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
8.040 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)) (* 0 (/ 0 i)))) into 0
8.040 * [backup-simplify]: Simplify (+ (* 16.0 0) (+ (* 0 0) (* 0 (/ 1 i)))) into 0
8.040 * [backup-simplify]: Simplify (+ (* i 0) (* 0 i)) into 0
8.041 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow i 2)) (/ 0 (pow i 2))))) into 0
8.041 * [backup-simplify]: Simplify (+ (* 12.0 0) (* 0 (/ 1 (pow i 2)))) into 0
8.042 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
8.042 * [backup-simplify]: Simplify (+ (* 12.0 0) (* 0 (/ 1 i))) into 0
8.043 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
8.044 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.044 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.045 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.046 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.047 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.048 * [backup-simplify]: Simplify (+ (* 5 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
8.048 * [backup-simplify]: Simplify (+ 0 0) into 0
8.049 * [backup-simplify]: Simplify (+ 0 0) into 0
8.049 * [backup-simplify]: Simplify (+ 0 0) into 0
8.049 * [backup-simplify]: Simplify (+ 0 0) into 0
8.050 * [backup-simplify]: Simplify (+ 0 0) into 0
8.050 * [taylor]: Taking taylor expansion of 0 in i
8.050 * [backup-simplify]: Simplify 0 into 0
8.050 * [backup-simplify]: Simplify 0 into 0
8.051 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.052 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
8.052 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)) (* 0 (/ 0 i)))) into 0
8.053 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 (/ 1 i)))) into 0
8.053 * [backup-simplify]: Simplify (+ 0 0) into 0
8.053 * [backup-simplify]: Simplify (+ 0 0) into 0
8.054 * [backup-simplify]: Simplify (- 0) into 0
8.054 * [taylor]: Taking taylor expansion of 0 in i
8.054 * [backup-simplify]: Simplify 0 into 0
8.054 * [backup-simplify]: Simplify 0 into 0
8.054 * [backup-simplify]: Simplify 0 into 0
8.055 * [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))))))
8.055 * [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
8.055 * [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
8.055 * [taylor]: Taking taylor expansion of -1 in i
8.055 * [backup-simplify]: Simplify -1 into -1
8.055 * [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
8.055 * [taylor]: Taking taylor expansion of (- (/ 1 alpha) (/ 1 beta)) in i
8.055 * [taylor]: Taking taylor expansion of (/ 1 alpha) in i
8.055 * [taylor]: Taking taylor expansion of alpha in i
8.055 * [backup-simplify]: Simplify alpha into alpha
8.055 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
8.055 * [taylor]: Taking taylor expansion of (/ 1 beta) in i
8.055 * [taylor]: Taking taylor expansion of beta in i
8.055 * [backup-simplify]: Simplify beta into beta
8.055 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
8.055 * [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
8.055 * [taylor]: Taking taylor expansion of (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) in i
8.055 * [taylor]: Taking taylor expansion of 2.0 in i
8.055 * [backup-simplify]: Simplify 2.0 into 2.0
8.055 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in i
8.055 * [taylor]: Taking taylor expansion of (/ 1 alpha) in i
8.055 * [taylor]: Taking taylor expansion of alpha in i
8.055 * [backup-simplify]: Simplify alpha into alpha
8.055 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
8.055 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in i
8.055 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in i
8.056 * [taylor]: Taking taylor expansion of 2.0 in i
8.056 * [backup-simplify]: Simplify 2.0 into 2.0
8.056 * [taylor]: Taking taylor expansion of (/ 1 i) in i
8.056 * [taylor]: Taking taylor expansion of i in i
8.056 * [backup-simplify]: Simplify 0 into 0
8.056 * [backup-simplify]: Simplify 1 into 1
8.056 * [backup-simplify]: Simplify (/ 1 1) into 1
8.056 * [taylor]: Taking taylor expansion of (/ 1 beta) in i
8.056 * [taylor]: Taking taylor expansion of beta in i
8.056 * [backup-simplify]: Simplify beta into beta
8.056 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
8.056 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in i
8.056 * [taylor]: Taking taylor expansion of (/ 1 alpha) in i
8.056 * [taylor]: Taking taylor expansion of alpha in i
8.056 * [backup-simplify]: Simplify alpha into alpha
8.056 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
8.056 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in i
8.056 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in i
8.056 * [taylor]: Taking taylor expansion of 2.0 in i
8.056 * [backup-simplify]: Simplify 2.0 into 2.0
8.056 * [taylor]: Taking taylor expansion of (/ 1 i) in i
8.057 * [taylor]: Taking taylor expansion of i in i
8.057 * [backup-simplify]: Simplify 0 into 0
8.057 * [backup-simplify]: Simplify 1 into 1
8.057 * [backup-simplify]: Simplify (/ 1 1) into 1
8.057 * [taylor]: Taking taylor expansion of (/ 1 beta) in i
8.057 * [taylor]: Taking taylor expansion of beta in i
8.057 * [backup-simplify]: Simplify beta into beta
8.057 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
8.057 * [backup-simplify]: Simplify (- (/ 1 beta)) into (- (/ 1 beta))
8.057 * [backup-simplify]: Simplify (+ (/ 1 alpha) (- (/ 1 beta))) into (- (/ 1 alpha) (/ 1 beta))
8.058 * [backup-simplify]: Simplify (* 2.0 1) into 2.0
8.058 * [backup-simplify]: Simplify (+ 2.0 0) into 2.0
8.059 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
8.059 * [backup-simplify]: Simplify (- 2.0) into (- 2.0)
8.060 * [backup-simplify]: Simplify (+ 0 (- 2.0)) into (- 2.0)
8.060 * [backup-simplify]: Simplify (* 2.0 1) into 2.0
8.060 * [backup-simplify]: Simplify (+ 2.0 0) into 2.0
8.061 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
8.062 * [backup-simplify]: Simplify (* (- 2.0) 2.0) into -4.0
8.062 * [backup-simplify]: Simplify (/ (- (/ 1 alpha) (/ 1 beta)) -4.0) into (* -0.25 (- (/ 1 alpha) (/ 1 beta)))
8.062 * [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
8.062 * [taylor]: Taking taylor expansion of -1 in alpha
8.062 * [backup-simplify]: Simplify -1 into -1
8.062 * [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
8.062 * [taylor]: Taking taylor expansion of (- (/ 1 alpha) (/ 1 beta)) in alpha
8.062 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
8.062 * [taylor]: Taking taylor expansion of alpha in alpha
8.062 * [backup-simplify]: Simplify 0 into 0
8.062 * [backup-simplify]: Simplify 1 into 1
8.062 * [backup-simplify]: Simplify (/ 1 1) into 1
8.062 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
8.062 * [taylor]: Taking taylor expansion of beta in alpha
8.062 * [backup-simplify]: Simplify beta into beta
8.063 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
8.063 * [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
8.063 * [taylor]: Taking taylor expansion of (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) in alpha
8.063 * [taylor]: Taking taylor expansion of 2.0 in alpha
8.063 * [backup-simplify]: Simplify 2.0 into 2.0
8.063 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in alpha
8.063 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
8.063 * [taylor]: Taking taylor expansion of alpha in alpha
8.063 * [backup-simplify]: Simplify 0 into 0
8.063 * [backup-simplify]: Simplify 1 into 1
8.063 * [backup-simplify]: Simplify (/ 1 1) into 1
8.063 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in alpha
8.063 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
8.063 * [taylor]: Taking taylor expansion of 2.0 in alpha
8.063 * [backup-simplify]: Simplify 2.0 into 2.0
8.063 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
8.063 * [taylor]: Taking taylor expansion of i in alpha
8.063 * [backup-simplify]: Simplify i into i
8.063 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
8.063 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
8.064 * [taylor]: Taking taylor expansion of beta in alpha
8.064 * [backup-simplify]: Simplify beta into beta
8.064 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
8.064 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in alpha
8.064 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
8.064 * [taylor]: Taking taylor expansion of alpha in alpha
8.064 * [backup-simplify]: Simplify 0 into 0
8.064 * [backup-simplify]: Simplify 1 into 1
8.064 * [backup-simplify]: Simplify (/ 1 1) into 1
8.064 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in alpha
8.064 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
8.064 * [taylor]: Taking taylor expansion of 2.0 in alpha
8.064 * [backup-simplify]: Simplify 2.0 into 2.0
8.064 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
8.064 * [taylor]: Taking taylor expansion of i in alpha
8.064 * [backup-simplify]: Simplify i into i
8.064 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
8.064 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
8.064 * [taylor]: Taking taylor expansion of beta in alpha
8.064 * [backup-simplify]: Simplify beta into beta
8.065 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
8.065 * [backup-simplify]: Simplify (+ 1 0) into 1
8.065 * [backup-simplify]: Simplify (+ 1 0) into 1
8.066 * [backup-simplify]: Simplify (- 1) into -1
8.066 * [backup-simplify]: Simplify (+ 0 -1) into -1
8.067 * [backup-simplify]: Simplify (+ 1 0) into 1
8.067 * [backup-simplify]: Simplify (* -1 1) into -1
8.067 * [backup-simplify]: Simplify (/ 1 -1) into -1
8.067 * [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
8.067 * [taylor]: Taking taylor expansion of -1 in beta
8.067 * [backup-simplify]: Simplify -1 into -1
8.067 * [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
8.068 * [taylor]: Taking taylor expansion of (- (/ 1 alpha) (/ 1 beta)) in beta
8.068 * [taylor]: Taking taylor expansion of (/ 1 alpha) in beta
8.068 * [taylor]: Taking taylor expansion of alpha in beta
8.068 * [backup-simplify]: Simplify alpha into alpha
8.068 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
8.068 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
8.068 * [taylor]: Taking taylor expansion of beta in beta
8.068 * [backup-simplify]: Simplify 0 into 0
8.068 * [backup-simplify]: Simplify 1 into 1
8.068 * [backup-simplify]: Simplify (/ 1 1) into 1
8.068 * [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
8.068 * [taylor]: Taking taylor expansion of (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) in beta
8.068 * [taylor]: Taking taylor expansion of 2.0 in beta
8.068 * [backup-simplify]: Simplify 2.0 into 2.0
8.068 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in beta
8.068 * [taylor]: Taking taylor expansion of (/ 1 alpha) in beta
8.068 * [taylor]: Taking taylor expansion of alpha in beta
8.068 * [backup-simplify]: Simplify alpha into alpha
8.069 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
8.069 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in beta
8.069 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in beta
8.069 * [taylor]: Taking taylor expansion of 2.0 in beta
8.069 * [backup-simplify]: Simplify 2.0 into 2.0
8.069 * [taylor]: Taking taylor expansion of (/ 1 i) in beta
8.069 * [taylor]: Taking taylor expansion of i in beta
8.069 * [backup-simplify]: Simplify i into i
8.069 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
8.069 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
8.069 * [taylor]: Taking taylor expansion of beta in beta
8.069 * [backup-simplify]: Simplify 0 into 0
8.069 * [backup-simplify]: Simplify 1 into 1
8.069 * [backup-simplify]: Simplify (/ 1 1) into 1
8.069 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in beta
8.069 * [taylor]: Taking taylor expansion of (/ 1 alpha) in beta
8.069 * [taylor]: Taking taylor expansion of alpha in beta
8.069 * [backup-simplify]: Simplify alpha into alpha
8.070 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
8.070 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in beta
8.070 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in beta
8.070 * [taylor]: Taking taylor expansion of 2.0 in beta
8.070 * [backup-simplify]: Simplify 2.0 into 2.0
8.070 * [taylor]: Taking taylor expansion of (/ 1 i) in beta
8.070 * [taylor]: Taking taylor expansion of i in beta
8.070 * [backup-simplify]: Simplify i into i
8.070 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
8.070 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
8.070 * [taylor]: Taking taylor expansion of beta in beta
8.070 * [backup-simplify]: Simplify 0 into 0
8.070 * [backup-simplify]: Simplify 1 into 1
8.070 * [backup-simplify]: Simplify (/ 1 1) into 1
8.071 * [backup-simplify]: Simplify (- 1) into -1
8.071 * [backup-simplify]: Simplify (+ 0 -1) into -1
8.071 * [backup-simplify]: Simplify (+ 0 1) into 1
8.072 * [backup-simplify]: Simplify (+ 0 1) into 1
8.072 * [backup-simplify]: Simplify (- 1) into -1
8.073 * [backup-simplify]: Simplify (+ 0 -1) into -1
8.073 * [backup-simplify]: Simplify (+ 0 1) into 1
8.074 * [backup-simplify]: Simplify (+ 0 1) into 1
8.074 * [backup-simplify]: Simplify (* -1 1) into -1
8.075 * [backup-simplify]: Simplify (/ -1 -1) into 1
8.075 * [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
8.075 * [taylor]: Taking taylor expansion of -1 in beta
8.075 * [backup-simplify]: Simplify -1 into -1
8.075 * [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
8.075 * [taylor]: Taking taylor expansion of (- (/ 1 alpha) (/ 1 beta)) in beta
8.075 * [taylor]: Taking taylor expansion of (/ 1 alpha) in beta
8.075 * [taylor]: Taking taylor expansion of alpha in beta
8.075 * [backup-simplify]: Simplify alpha into alpha
8.075 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
8.075 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
8.075 * [taylor]: Taking taylor expansion of beta in beta
8.075 * [backup-simplify]: Simplify 0 into 0
8.075 * [backup-simplify]: Simplify 1 into 1
8.075 * [backup-simplify]: Simplify (/ 1 1) into 1
8.075 * [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
8.075 * [taylor]: Taking taylor expansion of (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) in beta
8.075 * [taylor]: Taking taylor expansion of 2.0 in beta
8.075 * [backup-simplify]: Simplify 2.0 into 2.0
8.076 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in beta
8.076 * [taylor]: Taking taylor expansion of (/ 1 alpha) in beta
8.076 * [taylor]: Taking taylor expansion of alpha in beta
8.076 * [backup-simplify]: Simplify alpha into alpha
8.076 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
8.076 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in beta
8.076 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in beta
8.076 * [taylor]: Taking taylor expansion of 2.0 in beta
8.076 * [backup-simplify]: Simplify 2.0 into 2.0
8.076 * [taylor]: Taking taylor expansion of (/ 1 i) in beta
8.076 * [taylor]: Taking taylor expansion of i in beta
8.076 * [backup-simplify]: Simplify i into i
8.076 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
8.076 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
8.076 * [taylor]: Taking taylor expansion of beta in beta
8.076 * [backup-simplify]: Simplify 0 into 0
8.076 * [backup-simplify]: Simplify 1 into 1
8.076 * [backup-simplify]: Simplify (/ 1 1) into 1
8.076 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in beta
8.076 * [taylor]: Taking taylor expansion of (/ 1 alpha) in beta
8.076 * [taylor]: Taking taylor expansion of alpha in beta
8.077 * [backup-simplify]: Simplify alpha into alpha
8.077 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
8.077 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in beta
8.077 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in beta
8.077 * [taylor]: Taking taylor expansion of 2.0 in beta
8.077 * [backup-simplify]: Simplify 2.0 into 2.0
8.077 * [taylor]: Taking taylor expansion of (/ 1 i) in beta
8.077 * [taylor]: Taking taylor expansion of i in beta
8.077 * [backup-simplify]: Simplify i into i
8.077 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
8.077 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
8.077 * [taylor]: Taking taylor expansion of beta in beta
8.077 * [backup-simplify]: Simplify 0 into 0
8.077 * [backup-simplify]: Simplify 1 into 1
8.077 * [backup-simplify]: Simplify (/ 1 1) into 1
8.078 * [backup-simplify]: Simplify (- 1) into -1
8.078 * [backup-simplify]: Simplify (+ 0 -1) into -1
8.078 * [backup-simplify]: Simplify (+ 0 1) into 1
8.079 * [backup-simplify]: Simplify (+ 0 1) into 1
8.079 * [backup-simplify]: Simplify (- 1) into -1
8.080 * [backup-simplify]: Simplify (+ 0 -1) into -1
8.080 * [backup-simplify]: Simplify (+ 0 1) into 1
8.080 * [backup-simplify]: Simplify (+ 0 1) into 1
8.080 * [backup-simplify]: Simplify (* -1 1) into -1
8.081 * [backup-simplify]: Simplify (/ -1 -1) into 1
8.081 * [backup-simplify]: Simplify (* -1 1) into -1
8.081 * [taylor]: Taking taylor expansion of -1 in alpha
8.081 * [backup-simplify]: Simplify -1 into -1
8.081 * [taylor]: Taking taylor expansion of 0 in i
8.081 * [backup-simplify]: Simplify 0 into 0
8.081 * [backup-simplify]: Simplify 0 into 0
8.081 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.082 * [backup-simplify]: Simplify (- 0) into 0
8.082 * [backup-simplify]: Simplify (+ (/ 1 alpha) 0) into (/ 1 alpha)
8.082 * [backup-simplify]: Simplify (* 2.0 (/ 1 i)) into (/ 2.0 i)
8.082 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.082 * [backup-simplify]: Simplify (+ (/ 2.0 i) 0) into (* 2.0 (/ 1 i))
8.082 * [backup-simplify]: Simplify (+ (/ 1 alpha) (* 2.0 (/ 1 i))) into (+ (/ 1 alpha) (* 2.0 (/ 1 i)))
8.083 * [backup-simplify]: Simplify (* 2.0 (/ 1 i)) into (/ 2.0 i)
8.083 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.083 * [backup-simplify]: Simplify (+ (/ 2.0 i) 0) into (* 2.0 (/ 1 i))
8.083 * [backup-simplify]: Simplify (+ (/ 1 alpha) (* 2.0 (/ 1 i))) into (+ (/ 1 alpha) (* 2.0 (/ 1 i)))
8.083 * [backup-simplify]: Simplify (- (+ (/ 1 alpha) (* 2.0 (/ 1 i)))) into (- (+ (/ 1 alpha) (* 2.0 (/ 1 i))))
8.083 * [backup-simplify]: Simplify (+ 2.0 (- (+ (/ 1 alpha) (* 2.0 (/ 1 i))))) into (- 2.0 (+ (/ 1 alpha) (* 2.0 (/ 1 i))))
8.084 * [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))))
8.084 * [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))))
8.084 * [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)
8.084 * [taylor]: Taking taylor expansion of (- (+ (* 3 (/ 1 alpha)) (* 4.0 (/ 1 i))) 2.0) in alpha
8.085 * [taylor]: Taking taylor expansion of (+ (* 3 (/ 1 alpha)) (* 4.0 (/ 1 i))) in alpha
8.085 * [taylor]: Taking taylor expansion of (* 3 (/ 1 alpha)) in alpha
8.085 * [taylor]: Taking taylor expansion of 3 in alpha
8.085 * [backup-simplify]: Simplify 3 into 3
8.085 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
8.085 * [taylor]: Taking taylor expansion of alpha in alpha
8.085 * [backup-simplify]: Simplify 0 into 0
8.085 * [backup-simplify]: Simplify 1 into 1
8.085 * [backup-simplify]: Simplify (/ 1 1) into 1
8.085 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 i)) in alpha
8.085 * [taylor]: Taking taylor expansion of 4.0 in alpha
8.085 * [backup-simplify]: Simplify 4.0 into 4.0
8.085 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
8.085 * [taylor]: Taking taylor expansion of i in alpha
8.085 * [backup-simplify]: Simplify i into i
8.085 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
8.085 * [taylor]: Taking taylor expansion of 2.0 in alpha
8.085 * [backup-simplify]: Simplify 2.0 into 2.0
8.086 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.086 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.087 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 1))) into 0
8.087 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
8.087 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 i))) into 0
8.087 * [backup-simplify]: Simplify (+ 0 0) into 0
8.088 * [backup-simplify]: Simplify (- 0) into 0
8.088 * [backup-simplify]: Simplify (+ 0 0) into 0
8.088 * [taylor]: Taking taylor expansion of 0 in i
8.088 * [backup-simplify]: Simplify 0 into 0
8.088 * [backup-simplify]: Simplify 0 into 0
8.088 * [taylor]: Taking taylor expansion of 0 in i
8.088 * [backup-simplify]: Simplify 0 into 0
8.088 * [backup-simplify]: Simplify 0 into 0
8.088 * [backup-simplify]: Simplify 0 into 0
8.088 * [backup-simplify]: Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)))) into 0
8.089 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.089 * [backup-simplify]: Simplify (- 0) into 0
8.089 * [backup-simplify]: Simplify (+ 0 0) into 0
8.089 * [backup-simplify]: Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)))) into 0
8.089 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
8.089 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 (/ 1 i))) into 0
8.090 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.090 * [backup-simplify]: Simplify (+ 0 0) into 0
8.090 * [backup-simplify]: Simplify (+ 0 0) into 0
8.091 * [backup-simplify]: Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)))) into 0
8.091 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
8.091 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 (/ 1 i))) into 0
8.091 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.092 * [backup-simplify]: Simplify (+ 0 0) into 0
8.092 * [backup-simplify]: Simplify (+ 0 0) into 0
8.092 * [backup-simplify]: Simplify (- 0) into 0
8.092 * [backup-simplify]: Simplify (+ 0 0) into 0
8.093 * [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)))))
8.095 * [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))))
8.096 * [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))))
8.096 * [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
8.096 * [taylor]: Taking taylor expansion of (+ (* 8.0 (/ 1 alpha)) (* 12.0 (/ 1 i))) in alpha
8.096 * [taylor]: Taking taylor expansion of (* 8.0 (/ 1 alpha)) in alpha
8.096 * [taylor]: Taking taylor expansion of 8.0 in alpha
8.096 * [backup-simplify]: Simplify 8.0 into 8.0
8.096 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
8.096 * [taylor]: Taking taylor expansion of alpha in alpha
8.096 * [backup-simplify]: Simplify 0 into 0
8.096 * [backup-simplify]: Simplify 1 into 1
8.097 * [backup-simplify]: Simplify (/ 1 1) into 1
8.097 * [taylor]: Taking taylor expansion of (* 12.0 (/ 1 i)) in alpha
8.097 * [taylor]: Taking taylor expansion of 12.0 in alpha
8.097 * [backup-simplify]: Simplify 12.0 into 12.0
8.097 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
8.097 * [taylor]: Taking taylor expansion of i in alpha
8.097 * [backup-simplify]: Simplify i into i
8.097 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
8.097 * [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
8.097 * [taylor]: Taking taylor expansion of (* 16.0 (/ 1 (* alpha i))) in alpha
8.097 * [taylor]: Taking taylor expansion of 16.0 in alpha
8.097 * [backup-simplify]: Simplify 16.0 into 16.0
8.097 * [taylor]: Taking taylor expansion of (/ 1 (* alpha i)) in alpha
8.097 * [taylor]: Taking taylor expansion of (* alpha i) in alpha
8.097 * [taylor]: Taking taylor expansion of alpha in alpha
8.097 * [backup-simplify]: Simplify 0 into 0
8.097 * [backup-simplify]: Simplify 1 into 1
8.097 * [taylor]: Taking taylor expansion of i in alpha
8.097 * [backup-simplify]: Simplify i into i
8.097 * [backup-simplify]: Simplify (* 0 i) into 0
8.098 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 i)) into i
8.098 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
8.098 * [taylor]: Taking taylor expansion of (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 5 (/ 1 (pow alpha 2))) 4.0)) in alpha
8.098 * [taylor]: Taking taylor expansion of (* 12.0 (/ 1 (pow i 2))) in alpha
8.098 * [taylor]: Taking taylor expansion of 12.0 in alpha
8.098 * [backup-simplify]: Simplify 12.0 into 12.0
8.098 * [taylor]: Taking taylor expansion of (/ 1 (pow i 2)) in alpha
8.098 * [taylor]: Taking taylor expansion of (pow i 2) in alpha
8.098 * [taylor]: Taking taylor expansion of i in alpha
8.098 * [backup-simplify]: Simplify i into i
8.098 * [backup-simplify]: Simplify (* i i) into (pow i 2)
8.098 * [backup-simplify]: Simplify (/ 1 (pow i 2)) into (/ 1 (pow i 2))
8.098 * [taylor]: Taking taylor expansion of (+ (* 5 (/ 1 (pow alpha 2))) 4.0) in alpha
8.098 * [taylor]: Taking taylor expansion of (* 5 (/ 1 (pow alpha 2))) in alpha
8.098 * [taylor]: Taking taylor expansion of 5 in alpha
8.098 * [backup-simplify]: Simplify 5 into 5
8.098 * [taylor]: Taking taylor expansion of (/ 1 (pow alpha 2)) in alpha
8.098 * [taylor]: Taking taylor expansion of (pow alpha 2) in alpha
8.098 * [taylor]: Taking taylor expansion of alpha in alpha
8.098 * [backup-simplify]: Simplify 0 into 0
8.098 * [backup-simplify]: Simplify 1 into 1
8.098 * [backup-simplify]: Simplify (* 1 1) into 1
8.099 * [backup-simplify]: Simplify (/ 1 1) into 1
8.099 * [taylor]: Taking taylor expansion of 4.0 in alpha
8.099 * [backup-simplify]: Simplify 4.0 into 4.0
8.099 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.100 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.100 * [backup-simplify]: Simplify (+ (* 8.0 0) (+ (* 0 0) (* 0 1))) into 0
8.100 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
8.101 * [backup-simplify]: Simplify (+ (* 12.0 0) (* 0 (/ 1 i))) into 0
8.101 * [backup-simplify]: Simplify (+ 0 0) into 0
8.102 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 i)))) into 0
8.102 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 i))) into 0
8.102 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
8.103 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)) (* 0 (/ 0 i)))) into 0
8.103 * [backup-simplify]: Simplify (+ (* 16.0 0) (+ (* 0 0) (* 0 (/ 1 i)))) into 0
8.103 * [backup-simplify]: Simplify (+ (* i 0) (* 0 i)) into 0
8.103 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow i 2)) (/ 0 (pow i 2))))) into 0
8.104 * [backup-simplify]: Simplify (+ (* 12.0 0) (* 0 (/ 1 (pow i 2)))) into 0
8.104 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
8.105 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.105 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.106 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.106 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.107 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.107 * [backup-simplify]: Simplify (+ (* 5 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
8.108 * [backup-simplify]: Simplify (+ 0 0) into 0
8.108 * [backup-simplify]: Simplify (+ 0 0) into 0
8.108 * [backup-simplify]: Simplify (+ 0 0) into 0
8.108 * [backup-simplify]: Simplify (- 0) into 0
8.109 * [backup-simplify]: Simplify (+ 0 0) into 0
8.109 * [taylor]: Taking taylor expansion of 0 in i
8.109 * [backup-simplify]: Simplify 0 into 0
8.109 * [backup-simplify]: Simplify 0 into 0
8.109 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.110 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
8.110 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)) (* 0 (/ 0 i)))) into 0
8.110 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 (/ 1 i)))) into 0
8.111 * [backup-simplify]: Simplify (+ 0 0) into 0
8.111 * [backup-simplify]: Simplify (- 0) into 0
8.111 * [backup-simplify]: Simplify (+ 0 0) into 0
8.111 * [taylor]: Taking taylor expansion of 0 in i
8.111 * [backup-simplify]: Simplify 0 into 0
8.111 * [backup-simplify]: Simplify 0 into 0
8.111 * [backup-simplify]: Simplify 0 into 0
8.111 * * * * [progress]: [ 4 / 4 ] generating series at (2 1)
8.112 * [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))))))
8.112 * [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
8.112 * [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
8.112 * [taylor]: Taking taylor expansion of (+ (/ (pow beta 2) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta))))) 1.0) in i
8.112 * [taylor]: Taking taylor expansion of (/ (pow beta 2) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta))))) in i
8.112 * [taylor]: Taking taylor expansion of (pow beta 2) in i
8.112 * [taylor]: Taking taylor expansion of beta in i
8.112 * [backup-simplify]: Simplify beta into beta
8.112 * [taylor]: Taking taylor expansion of (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta)))) in i
8.112 * [taylor]: Taking taylor expansion of (+ alpha (+ (* 2.0 i) beta)) in i
8.112 * [taylor]: Taking taylor expansion of alpha in i
8.112 * [backup-simplify]: Simplify alpha into alpha
8.112 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in i
8.112 * [taylor]: Taking taylor expansion of (* 2.0 i) in i
8.112 * [taylor]: Taking taylor expansion of 2.0 in i
8.112 * [backup-simplify]: Simplify 2.0 into 2.0
8.112 * [taylor]: Taking taylor expansion of i in i
8.112 * [backup-simplify]: Simplify 0 into 0
8.112 * [backup-simplify]: Simplify 1 into 1
8.112 * [taylor]: Taking taylor expansion of beta in i
8.112 * [backup-simplify]: Simplify beta into beta
8.112 * [taylor]: Taking taylor expansion of (+ alpha (+ 2.0 (+ (* 2.0 i) beta))) in i
8.112 * [taylor]: Taking taylor expansion of alpha in i
8.112 * [backup-simplify]: Simplify alpha into alpha
8.112 * [taylor]: Taking taylor expansion of (+ 2.0 (+ (* 2.0 i) beta)) in i
8.112 * [taylor]: Taking taylor expansion of 2.0 in i
8.112 * [backup-simplify]: Simplify 2.0 into 2.0
8.112 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in i
8.112 * [taylor]: Taking taylor expansion of (* 2.0 i) in i
8.112 * [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 beta in i
8.113 * [backup-simplify]: Simplify beta into beta
8.113 * [backup-simplify]: Simplify (* beta beta) into (pow beta 2)
8.113 * [backup-simplify]: Simplify (* 2.0 0) into 0
8.113 * [backup-simplify]: Simplify (+ 0 beta) into beta
8.113 * [backup-simplify]: Simplify (+ alpha beta) into (+ alpha beta)
8.113 * [backup-simplify]: Simplify (* 2.0 0) into 0
8.113 * [backup-simplify]: Simplify (+ 0 beta) into beta
8.113 * [backup-simplify]: Simplify (+ 2.0 beta) into (+ beta 2.0)
8.113 * [backup-simplify]: Simplify (+ alpha (+ beta 2.0)) into (+ alpha (+ beta 2.0))
8.113 * [backup-simplify]: Simplify (* (+ alpha beta) (+ alpha (+ beta 2.0))) into (* (+ alpha beta) (+ alpha (+ beta 2.0)))
8.114 * [backup-simplify]: Simplify (/ (pow beta 2) (* (+ alpha beta) (+ alpha (+ beta 2.0)))) into (/ (pow beta 2) (* (+ alpha beta) (+ alpha (+ beta 2.0))))
8.114 * [taylor]: Taking taylor expansion of 1.0 in i
8.114 * [backup-simplify]: Simplify 1.0 into 1.0
8.114 * [taylor]: Taking taylor expansion of (/ (pow alpha 2) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta))))) in i
8.114 * [taylor]: Taking taylor expansion of (pow alpha 2) in i
8.114 * [taylor]: Taking taylor expansion of alpha in i
8.114 * [backup-simplify]: Simplify alpha into alpha
8.114 * [taylor]: Taking taylor expansion of (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta)))) in i
8.114 * [taylor]: Taking taylor expansion of (+ alpha (+ (* 2.0 i) beta)) in i
8.114 * [taylor]: Taking taylor expansion of alpha in i
8.114 * [backup-simplify]: Simplify alpha into alpha
8.114 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in i
8.114 * [taylor]: Taking taylor expansion of (* 2.0 i) in i
8.114 * [taylor]: Taking taylor expansion of 2.0 in i
8.114 * [backup-simplify]: Simplify 2.0 into 2.0
8.114 * [taylor]: Taking taylor expansion of i in i
8.114 * [backup-simplify]: Simplify 0 into 0
8.114 * [backup-simplify]: Simplify 1 into 1
8.114 * [taylor]: Taking taylor expansion of beta in i
8.114 * [backup-simplify]: Simplify beta into beta
8.114 * [taylor]: Taking taylor expansion of (+ alpha (+ 2.0 (+ (* 2.0 i) beta))) in i
8.114 * [taylor]: Taking taylor expansion of alpha in i
8.114 * [backup-simplify]: Simplify alpha into alpha
8.114 * [taylor]: Taking taylor expansion of (+ 2.0 (+ (* 2.0 i) beta)) in i
8.114 * [taylor]: Taking taylor expansion of 2.0 in i
8.114 * [backup-simplify]: Simplify 2.0 into 2.0
8.114 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in i
8.114 * [taylor]: Taking taylor expansion of (* 2.0 i) in i
8.114 * [taylor]: Taking taylor expansion of 2.0 in i
8.114 * [backup-simplify]: Simplify 2.0 into 2.0
8.114 * [taylor]: Taking taylor expansion of i in i
8.114 * [backup-simplify]: Simplify 0 into 0
8.114 * [backup-simplify]: Simplify 1 into 1
8.114 * [taylor]: Taking taylor expansion of beta in i
8.114 * [backup-simplify]: Simplify beta into beta
8.114 * [backup-simplify]: Simplify (* alpha alpha) into (pow alpha 2)
8.115 * [backup-simplify]: Simplify (* 2.0 0) into 0
8.115 * [backup-simplify]: Simplify (+ 0 beta) into beta
8.115 * [backup-simplify]: Simplify (+ alpha beta) into (+ alpha beta)
8.115 * [backup-simplify]: Simplify (* 2.0 0) into 0
8.115 * [backup-simplify]: Simplify (+ 0 beta) into beta
8.115 * [backup-simplify]: Simplify (+ 2.0 beta) into (+ beta 2.0)
8.115 * [backup-simplify]: Simplify (+ alpha (+ beta 2.0)) into (+ alpha (+ beta 2.0))
8.115 * [backup-simplify]: Simplify (* (+ alpha beta) (+ alpha (+ beta 2.0))) into (* (+ alpha beta) (+ alpha (+ beta 2.0)))
8.115 * [backup-simplify]: Simplify (/ (pow alpha 2) (* (+ alpha beta) (+ alpha (+ beta 2.0)))) into (/ (pow alpha 2) (* (+ alpha beta) (+ alpha (+ beta 2.0))))
8.115 * [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
8.115 * [taylor]: Taking taylor expansion of (+ (/ (pow beta 2) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta))))) 1.0) in beta
8.115 * [taylor]: Taking taylor expansion of (/ (pow beta 2) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta))))) in beta
8.115 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
8.115 * [taylor]: Taking taylor expansion of beta in beta
8.115 * [backup-simplify]: Simplify 0 into 0
8.115 * [backup-simplify]: Simplify 1 into 1
8.115 * [taylor]: Taking taylor expansion of (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta)))) in beta
8.115 * [taylor]: Taking taylor expansion of (+ alpha (+ (* 2.0 i) beta)) in beta
8.115 * [taylor]: Taking taylor expansion of alpha in beta
8.115 * [backup-simplify]: Simplify alpha into alpha
8.115 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
8.115 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
8.116 * [taylor]: Taking taylor expansion of 2.0 in beta
8.116 * [backup-simplify]: Simplify 2.0 into 2.0
8.116 * [taylor]: Taking taylor expansion of i in beta
8.116 * [backup-simplify]: Simplify i into i
8.116 * [taylor]: Taking taylor expansion of beta in beta
8.116 * [backup-simplify]: Simplify 0 into 0
8.116 * [backup-simplify]: Simplify 1 into 1
8.116 * [taylor]: Taking taylor expansion of (+ alpha (+ 2.0 (+ (* 2.0 i) beta))) in beta
8.116 * [taylor]: Taking taylor expansion of alpha in beta
8.116 * [backup-simplify]: Simplify alpha into alpha
8.116 * [taylor]: Taking taylor expansion of (+ 2.0 (+ (* 2.0 i) beta)) in beta
8.116 * [taylor]: Taking taylor expansion of 2.0 in beta
8.116 * [backup-simplify]: Simplify 2.0 into 2.0
8.116 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
8.116 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
8.116 * [taylor]: Taking taylor expansion of 2.0 in beta
8.116 * [backup-simplify]: Simplify 2.0 into 2.0
8.116 * [taylor]: Taking taylor expansion of i in beta
8.116 * [backup-simplify]: Simplify i into i
8.116 * [taylor]: Taking taylor expansion of beta in beta
8.116 * [backup-simplify]: Simplify 0 into 0
8.116 * [backup-simplify]: Simplify 1 into 1
8.116 * [backup-simplify]: Simplify (* 1 1) into 1
8.116 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
8.116 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
8.116 * [backup-simplify]: Simplify (+ alpha (* 2.0 i)) into (+ alpha (* 2.0 i))
8.116 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
8.116 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
8.116 * [backup-simplify]: Simplify (+ 2.0 (* 2.0 i)) into (+ (* 2.0 i) 2.0)
8.116 * [backup-simplify]: Simplify (+ alpha (+ (* 2.0 i) 2.0)) into (+ alpha (+ (* 2.0 i) 2.0))
8.117 * [backup-simplify]: Simplify (* (+ alpha (* 2.0 i)) (+ alpha (+ (* 2.0 i) 2.0))) into (* (+ alpha (+ (* 2.0 i) 2.0)) (+ alpha (* 2.0 i)))
8.117 * [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))))
8.117 * [taylor]: Taking taylor expansion of 1.0 in beta
8.117 * [backup-simplify]: Simplify 1.0 into 1.0
8.117 * [taylor]: Taking taylor expansion of (/ (pow alpha 2) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta))))) in beta
8.117 * [taylor]: Taking taylor expansion of (pow alpha 2) in beta
8.117 * [taylor]: Taking taylor expansion of alpha in beta
8.117 * [backup-simplify]: Simplify alpha into alpha
8.117 * [taylor]: Taking taylor expansion of (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta)))) in beta
8.117 * [taylor]: Taking taylor expansion of (+ alpha (+ (* 2.0 i) beta)) in beta
8.117 * [taylor]: Taking taylor expansion of alpha in beta
8.117 * [backup-simplify]: Simplify alpha into alpha
8.117 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
8.117 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
8.117 * [taylor]: Taking taylor expansion of 2.0 in beta
8.117 * [backup-simplify]: Simplify 2.0 into 2.0
8.117 * [taylor]: Taking taylor expansion of i in beta
8.117 * [backup-simplify]: Simplify i into i
8.117 * [taylor]: Taking taylor expansion of beta in beta
8.117 * [backup-simplify]: Simplify 0 into 0
8.117 * [backup-simplify]: Simplify 1 into 1
8.117 * [taylor]: Taking taylor expansion of (+ alpha (+ 2.0 (+ (* 2.0 i) beta))) in beta
8.117 * [taylor]: Taking taylor expansion of alpha in beta
8.117 * [backup-simplify]: Simplify alpha into alpha
8.117 * [taylor]: Taking taylor expansion of (+ 2.0 (+ (* 2.0 i) beta)) in beta
8.117 * [taylor]: Taking taylor expansion of 2.0 in beta
8.117 * [backup-simplify]: Simplify 2.0 into 2.0
8.117 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
8.117 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
8.117 * [taylor]: Taking taylor expansion of 2.0 in beta
8.117 * [backup-simplify]: Simplify 2.0 into 2.0
8.117 * [taylor]: Taking taylor expansion of i in beta
8.117 * [backup-simplify]: Simplify i into i
8.117 * [taylor]: Taking taylor expansion of beta in beta
8.117 * [backup-simplify]: Simplify 0 into 0
8.117 * [backup-simplify]: Simplify 1 into 1
8.117 * [backup-simplify]: Simplify (* alpha alpha) into (pow alpha 2)
8.117 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
8.117 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
8.117 * [backup-simplify]: Simplify (+ alpha (* 2.0 i)) into (+ alpha (* 2.0 i))
8.117 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
8.118 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
8.118 * [backup-simplify]: Simplify (+ 2.0 (* 2.0 i)) into (+ (* 2.0 i) 2.0)
8.118 * [backup-simplify]: Simplify (+ alpha (+ (* 2.0 i) 2.0)) into (+ alpha (+ (* 2.0 i) 2.0))
8.118 * [backup-simplify]: Simplify (* (+ alpha (* 2.0 i)) (+ alpha (+ (* 2.0 i) 2.0))) into (* (+ alpha (+ (* 2.0 i) 2.0)) (+ alpha (* 2.0 i)))
8.118 * [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))))
8.118 * [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
8.118 * [taylor]: Taking taylor expansion of (+ (/ (pow beta 2) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta))))) 1.0) in alpha
8.118 * [taylor]: Taking taylor expansion of (/ (pow beta 2) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta))))) in alpha
8.118 * [taylor]: Taking taylor expansion of (pow beta 2) in alpha
8.118 * [taylor]: Taking taylor expansion of beta in alpha
8.118 * [backup-simplify]: Simplify beta into beta
8.118 * [taylor]: Taking taylor expansion of (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta)))) in alpha
8.118 * [taylor]: Taking taylor expansion of (+ alpha (+ (* 2.0 i) beta)) in alpha
8.118 * [taylor]: Taking taylor expansion of alpha in alpha
8.118 * [backup-simplify]: Simplify 0 into 0
8.118 * [backup-simplify]: Simplify 1 into 1
8.118 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in alpha
8.118 * [taylor]: Taking taylor expansion of (* 2.0 i) in alpha
8.118 * [taylor]: Taking taylor expansion of 2.0 in alpha
8.118 * [backup-simplify]: Simplify 2.0 into 2.0
8.118 * [taylor]: Taking taylor expansion of i in alpha
8.118 * [backup-simplify]: Simplify i into i
8.118 * [taylor]: Taking taylor expansion of beta in alpha
8.118 * [backup-simplify]: Simplify beta into beta
8.118 * [taylor]: Taking taylor expansion of (+ alpha (+ 2.0 (+ (* 2.0 i) beta))) in alpha
8.118 * [taylor]: Taking taylor expansion of alpha in alpha
8.118 * [backup-simplify]: Simplify 0 into 0
8.118 * [backup-simplify]: Simplify 1 into 1
8.118 * [taylor]: Taking taylor expansion of (+ 2.0 (+ (* 2.0 i) beta)) in alpha
8.118 * [taylor]: Taking taylor expansion of 2.0 in alpha
8.118 * [backup-simplify]: Simplify 2.0 into 2.0
8.118 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in alpha
8.118 * [taylor]: Taking taylor expansion of (* 2.0 i) in alpha
8.118 * [taylor]: Taking taylor expansion of 2.0 in alpha
8.118 * [backup-simplify]: Simplify 2.0 into 2.0
8.119 * [taylor]: Taking taylor expansion of i in alpha
8.119 * [backup-simplify]: Simplify i into i
8.119 * [taylor]: Taking taylor expansion of beta in alpha
8.119 * [backup-simplify]: Simplify beta into beta
8.119 * [backup-simplify]: Simplify (* beta beta) into (pow beta 2)
8.119 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
8.119 * [backup-simplify]: Simplify (+ (* 2.0 i) beta) into (+ (* 2.0 i) beta)
8.119 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 i) beta)) into (+ (* 2.0 i) beta)
8.119 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
8.119 * [backup-simplify]: Simplify (+ (* 2.0 i) beta) into (+ (* 2.0 i) beta)
8.119 * [backup-simplify]: Simplify (+ 2.0 (+ (* 2.0 i) beta)) into (+ (* 2.0 i) (+ beta 2.0))
8.119 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 i) (+ beta 2.0))) into (+ (* 2.0 i) (+ beta 2.0))
8.119 * [backup-simplify]: Simplify (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0))) into (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))
8.119 * [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))))
8.119 * [taylor]: Taking taylor expansion of 1.0 in alpha
8.119 * [backup-simplify]: Simplify 1.0 into 1.0
8.119 * [taylor]: Taking taylor expansion of (/ (pow alpha 2) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta))))) in alpha
8.119 * [taylor]: Taking taylor expansion of (pow alpha 2) in alpha
8.119 * [taylor]: Taking taylor expansion of alpha in alpha
8.119 * [backup-simplify]: Simplify 0 into 0
8.119 * [backup-simplify]: Simplify 1 into 1
8.119 * [taylor]: Taking taylor expansion of (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta)))) in alpha
8.119 * [taylor]: Taking taylor expansion of (+ alpha (+ (* 2.0 i) beta)) in alpha
8.120 * [taylor]: Taking taylor expansion of alpha in alpha
8.120 * [backup-simplify]: Simplify 0 into 0
8.120 * [backup-simplify]: Simplify 1 into 1
8.120 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in alpha
8.120 * [taylor]: Taking taylor expansion of (* 2.0 i) in alpha
8.120 * [taylor]: Taking taylor expansion of 2.0 in alpha
8.120 * [backup-simplify]: Simplify 2.0 into 2.0
8.120 * [taylor]: Taking taylor expansion of i in alpha
8.120 * [backup-simplify]: Simplify i into i
8.120 * [taylor]: Taking taylor expansion of beta in alpha
8.120 * [backup-simplify]: Simplify beta into beta
8.120 * [taylor]: Taking taylor expansion of (+ alpha (+ 2.0 (+ (* 2.0 i) beta))) in alpha
8.120 * [taylor]: Taking taylor expansion of alpha in alpha
8.120 * [backup-simplify]: Simplify 0 into 0
8.120 * [backup-simplify]: Simplify 1 into 1
8.120 * [taylor]: Taking taylor expansion of (+ 2.0 (+ (* 2.0 i) beta)) in alpha
8.120 * [taylor]: Taking taylor expansion of 2.0 in alpha
8.120 * [backup-simplify]: Simplify 2.0 into 2.0
8.120 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in alpha
8.120 * [taylor]: Taking taylor expansion of (* 2.0 i) in alpha
8.120 * [taylor]: Taking taylor expansion of 2.0 in alpha
8.120 * [backup-simplify]: Simplify 2.0 into 2.0
8.120 * [taylor]: Taking taylor expansion of i in alpha
8.120 * [backup-simplify]: Simplify i into i
8.120 * [taylor]: Taking taylor expansion of beta in alpha
8.120 * [backup-simplify]: Simplify beta into beta
8.120 * [backup-simplify]: Simplify (* 1 1) into 1
8.120 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
8.120 * [backup-simplify]: Simplify (+ (* 2.0 i) beta) into (+ (* 2.0 i) beta)
8.120 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 i) beta)) into (+ (* 2.0 i) beta)
8.120 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
8.120 * [backup-simplify]: Simplify (+ (* 2.0 i) beta) into (+ (* 2.0 i) beta)
8.121 * [backup-simplify]: Simplify (+ 2.0 (+ (* 2.0 i) beta)) into (+ (* 2.0 i) (+ beta 2.0))
8.121 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 i) (+ beta 2.0))) into (+ (* 2.0 i) (+ beta 2.0))
8.121 * [backup-simplify]: Simplify (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0))) into (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))
8.121 * [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))))
8.121 * [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
8.121 * [taylor]: Taking taylor expansion of (+ (/ (pow beta 2) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta))))) 1.0) in alpha
8.121 * [taylor]: Taking taylor expansion of (/ (pow beta 2) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta))))) in alpha
8.121 * [taylor]: Taking taylor expansion of (pow beta 2) in alpha
8.121 * [taylor]: Taking taylor expansion of beta in alpha
8.121 * [backup-simplify]: Simplify beta into beta
8.121 * [taylor]: Taking taylor expansion of (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta)))) in alpha
8.121 * [taylor]: Taking taylor expansion of (+ alpha (+ (* 2.0 i) beta)) in alpha
8.121 * [taylor]: Taking taylor expansion of alpha in alpha
8.121 * [backup-simplify]: Simplify 0 into 0
8.121 * [backup-simplify]: Simplify 1 into 1
8.121 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in alpha
8.121 * [taylor]: Taking taylor expansion of (* 2.0 i) in alpha
8.121 * [taylor]: Taking taylor expansion of 2.0 in alpha
8.121 * [backup-simplify]: Simplify 2.0 into 2.0
8.121 * [taylor]: Taking taylor expansion of i in alpha
8.121 * [backup-simplify]: Simplify i into i
8.121 * [taylor]: Taking taylor expansion of beta in alpha
8.121 * [backup-simplify]: Simplify beta into beta
8.121 * [taylor]: Taking taylor expansion of (+ alpha (+ 2.0 (+ (* 2.0 i) beta))) in alpha
8.121 * [taylor]: Taking taylor expansion of alpha in alpha
8.121 * [backup-simplify]: Simplify 0 into 0
8.121 * [backup-simplify]: Simplify 1 into 1
8.121 * [taylor]: Taking taylor expansion of (+ 2.0 (+ (* 2.0 i) beta)) in alpha
8.121 * [taylor]: Taking taylor expansion of 2.0 in alpha
8.121 * [backup-simplify]: Simplify 2.0 into 2.0
8.121 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in alpha
8.121 * [taylor]: Taking taylor expansion of (* 2.0 i) in alpha
8.121 * [taylor]: Taking taylor expansion of 2.0 in alpha
8.121 * [backup-simplify]: Simplify 2.0 into 2.0
8.121 * [taylor]: Taking taylor expansion of i in alpha
8.121 * [backup-simplify]: Simplify i into i
8.121 * [taylor]: Taking taylor expansion of beta in alpha
8.121 * [backup-simplify]: Simplify beta into beta
8.121 * [backup-simplify]: Simplify (* beta beta) into (pow beta 2)
8.122 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
8.122 * [backup-simplify]: Simplify (+ (* 2.0 i) beta) into (+ (* 2.0 i) beta)
8.122 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 i) beta)) into (+ (* 2.0 i) beta)
8.122 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
8.122 * [backup-simplify]: Simplify (+ (* 2.0 i) beta) into (+ (* 2.0 i) beta)
8.122 * [backup-simplify]: Simplify (+ 2.0 (+ (* 2.0 i) beta)) into (+ (* 2.0 i) (+ beta 2.0))
8.122 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 i) (+ beta 2.0))) into (+ (* 2.0 i) (+ beta 2.0))
8.122 * [backup-simplify]: Simplify (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0))) into (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))
8.122 * [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))))
8.122 * [taylor]: Taking taylor expansion of 1.0 in alpha
8.122 * [backup-simplify]: Simplify 1.0 into 1.0
8.122 * [taylor]: Taking taylor expansion of (/ (pow alpha 2) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta))))) in alpha
8.122 * [taylor]: Taking taylor expansion of (pow alpha 2) in alpha
8.122 * [taylor]: Taking taylor expansion of alpha in alpha
8.122 * [backup-simplify]: Simplify 0 into 0
8.122 * [backup-simplify]: Simplify 1 into 1
8.122 * [taylor]: Taking taylor expansion of (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta)))) in alpha
8.122 * [taylor]: Taking taylor expansion of (+ alpha (+ (* 2.0 i) beta)) in alpha
8.122 * [taylor]: Taking taylor expansion of alpha in alpha
8.122 * [backup-simplify]: Simplify 0 into 0
8.122 * [backup-simplify]: Simplify 1 into 1
8.122 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in alpha
8.122 * [taylor]: Taking taylor expansion of (* 2.0 i) in alpha
8.122 * [taylor]: Taking taylor expansion of 2.0 in alpha
8.123 * [backup-simplify]: Simplify 2.0 into 2.0
8.123 * [taylor]: Taking taylor expansion of i in alpha
8.123 * [backup-simplify]: Simplify i into i
8.123 * [taylor]: Taking taylor expansion of beta in alpha
8.123 * [backup-simplify]: Simplify beta into beta
8.123 * [taylor]: Taking taylor expansion of (+ alpha (+ 2.0 (+ (* 2.0 i) beta))) in alpha
8.123 * [taylor]: Taking taylor expansion of alpha in alpha
8.123 * [backup-simplify]: Simplify 0 into 0
8.123 * [backup-simplify]: Simplify 1 into 1
8.123 * [taylor]: Taking taylor expansion of (+ 2.0 (+ (* 2.0 i) beta)) in alpha
8.123 * [taylor]: Taking taylor expansion of 2.0 in alpha
8.123 * [backup-simplify]: Simplify 2.0 into 2.0
8.123 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in alpha
8.123 * [taylor]: Taking taylor expansion of (* 2.0 i) in alpha
8.123 * [taylor]: Taking taylor expansion of 2.0 in alpha
8.123 * [backup-simplify]: Simplify 2.0 into 2.0
8.123 * [taylor]: Taking taylor expansion of i in alpha
8.123 * [backup-simplify]: Simplify i into i
8.123 * [taylor]: Taking taylor expansion of beta in alpha
8.123 * [backup-simplify]: Simplify beta into beta
8.123 * [backup-simplify]: Simplify (* 1 1) into 1
8.123 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
8.123 * [backup-simplify]: Simplify (+ (* 2.0 i) beta) into (+ (* 2.0 i) beta)
8.123 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 i) beta)) into (+ (* 2.0 i) beta)
8.123 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
8.123 * [backup-simplify]: Simplify (+ (* 2.0 i) beta) into (+ (* 2.0 i) beta)
8.123 * [backup-simplify]: Simplify (+ 2.0 (+ (* 2.0 i) beta)) into (+ (* 2.0 i) (+ beta 2.0))
8.124 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 i) (+ beta 2.0))) into (+ (* 2.0 i) (+ beta 2.0))
8.124 * [backup-simplify]: Simplify (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0))) into (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))
8.124 * [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))))
8.124 * [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)
8.124 * [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)
8.124 * [taylor]: Taking taylor expansion of (+ (/ (pow beta 2) (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))) 1.0) in beta
8.124 * [taylor]: Taking taylor expansion of (/ (pow beta 2) (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))) in beta
8.124 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
8.124 * [taylor]: Taking taylor expansion of beta in beta
8.124 * [backup-simplify]: Simplify 0 into 0
8.125 * [backup-simplify]: Simplify 1 into 1
8.125 * [taylor]: Taking taylor expansion of (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0))) in beta
8.125 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
8.125 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
8.125 * [taylor]: Taking taylor expansion of 2.0 in beta
8.125 * [backup-simplify]: Simplify 2.0 into 2.0
8.125 * [taylor]: Taking taylor expansion of i in beta
8.125 * [backup-simplify]: Simplify i into i
8.125 * [taylor]: Taking taylor expansion of beta in beta
8.125 * [backup-simplify]: Simplify 0 into 0
8.125 * [backup-simplify]: Simplify 1 into 1
8.125 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
8.125 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
8.125 * [taylor]: Taking taylor expansion of 2.0 in beta
8.125 * [backup-simplify]: Simplify 2.0 into 2.0
8.125 * [taylor]: Taking taylor expansion of i in beta
8.125 * [backup-simplify]: Simplify i into i
8.125 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
8.125 * [taylor]: Taking taylor expansion of beta in beta
8.125 * [backup-simplify]: Simplify 0 into 0
8.125 * [backup-simplify]: Simplify 1 into 1
8.125 * [taylor]: Taking taylor expansion of 2.0 in beta
8.125 * [backup-simplify]: Simplify 2.0 into 2.0
8.125 * [backup-simplify]: Simplify (* 1 1) into 1
8.125 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
8.125 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
8.125 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
8.126 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
8.126 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
8.126 * [backup-simplify]: Simplify (* (* 2.0 i) (+ (* 2.0 i) 2.0)) into (* 2.0 (* i (+ (* 2.0 i) 2.0)))
8.126 * [backup-simplify]: Simplify (/ 1 (* 2.0 (* i (+ (* 2.0 i) 2.0)))) into (/ 0.5 (* i (+ (* 2.0 i) 2.0)))
8.126 * [taylor]: Taking taylor expansion of 1.0 in beta
8.126 * [backup-simplify]: Simplify 1.0 into 1.0
8.126 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0
8.126 * [taylor]: Taking taylor expansion of 1.0 in i
8.126 * [backup-simplify]: Simplify 1.0 into 1.0
8.126 * [backup-simplify]: Simplify 1.0 into 1.0
8.126 * [backup-simplify]: Simplify (+ (* beta 0) (* 0 beta)) into 0
8.127 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 i)) into 0
8.127 * [backup-simplify]: Simplify (+ 0 0) into 0
8.127 * [backup-simplify]: Simplify (+ 0 0) into 0
8.127 * [backup-simplify]: Simplify (+ 1 0) into 1
8.128 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 i)) into 0
8.128 * [backup-simplify]: Simplify (+ 0 0) into 0
8.128 * [backup-simplify]: Simplify (+ 1 0) into 1
8.128 * [backup-simplify]: Simplify (+ (* (+ (* 2.0 i) beta) 1) (* 1 (+ (* 2.0 i) (+ beta 2.0)))) into (+ 2.0 (+ (* 4.0 i) (* 2 beta)))
8.129 * [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)))))))
8.131 * [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)))))))
8.135 * [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)))))))
8.135 * [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
8.135 * [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
8.135 * [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
8.135 * [taylor]: Taking taylor expansion of 4.0 in beta
8.135 * [backup-simplify]: Simplify 4.0 into 4.0
8.135 * [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
8.135 * [taylor]: Taking taylor expansion of (* i (pow beta 2)) in beta
8.135 * [taylor]: Taking taylor expansion of i in beta
8.135 * [backup-simplify]: Simplify i into i
8.135 * [taylor]: Taking taylor expansion of (pow beta 2) 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 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)) in beta
8.135 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 2) in beta
8.135 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
8.135 * [taylor]: Taking taylor expansion of (* 2.0 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 i in beta
8.135 * [backup-simplify]: Simplify i into i
8.135 * [taylor]: Taking taylor expansion of beta in beta
8.136 * [backup-simplify]: Simplify 0 into 0
8.136 * [backup-simplify]: Simplify 1 into 1
8.136 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
8.136 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
8.136 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 2) in beta
8.136 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
8.136 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
8.136 * [taylor]: Taking taylor expansion of 2.0 in beta
8.136 * [backup-simplify]: Simplify 2.0 into 2.0
8.136 * [taylor]: Taking taylor expansion of i in beta
8.136 * [backup-simplify]: Simplify i into i
8.136 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
8.136 * [taylor]: Taking taylor expansion of beta in beta
8.136 * [backup-simplify]: Simplify 0 into 0
8.136 * [backup-simplify]: Simplify 1 into 1
8.136 * [taylor]: Taking taylor expansion of 2.0 in beta
8.136 * [backup-simplify]: Simplify 2.0 into 2.0
8.136 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
8.137 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
8.137 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
8.137 * [backup-simplify]: Simplify (* 1 1) into 1
8.137 * [backup-simplify]: Simplify (* i 1) into i
8.137 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
8.138 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
8.138 * [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)))
8.138 * [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)))
8.139 * [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
8.139 * [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
8.139 * [taylor]: Taking taylor expansion of 2 in beta
8.139 * [backup-simplify]: Simplify 2 into 2
8.139 * [taylor]: Taking taylor expansion of (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2))) in beta
8.139 * [taylor]: Taking taylor expansion of (pow beta 3) in beta
8.139 * [taylor]: Taking taylor expansion of beta in beta
8.139 * [backup-simplify]: Simplify 0 into 0
8.139 * [backup-simplify]: Simplify 1 into 1
8.139 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)) in beta
8.139 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 2) in beta
8.139 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
8.139 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
8.139 * [taylor]: Taking taylor expansion of 2.0 in beta
8.139 * [backup-simplify]: Simplify 2.0 into 2.0
8.139 * [taylor]: Taking taylor expansion of i in beta
8.139 * [backup-simplify]: Simplify i into i
8.139 * [taylor]: Taking taylor expansion of beta in beta
8.139 * [backup-simplify]: Simplify 0 into 0
8.139 * [backup-simplify]: Simplify 1 into 1
8.139 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
8.139 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
8.139 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 2) in beta
8.139 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
8.139 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
8.139 * [taylor]: Taking taylor expansion of 2.0 in beta
8.139 * [backup-simplify]: Simplify 2.0 into 2.0
8.139 * [taylor]: Taking taylor expansion of i in beta
8.139 * [backup-simplify]: Simplify i into i
8.139 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
8.140 * [taylor]: Taking taylor expansion of beta in beta
8.140 * [backup-simplify]: Simplify 0 into 0
8.140 * [backup-simplify]: Simplify 1 into 1
8.140 * [taylor]: Taking taylor expansion of 2.0 in beta
8.140 * [backup-simplify]: Simplify 2.0 into 2.0
8.140 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
8.140 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
8.140 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
8.141 * [backup-simplify]: Simplify (* 1 1) into 1
8.141 * [backup-simplify]: Simplify (* 1 1) into 1
8.141 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
8.141 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
8.142 * [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)))
8.142 * [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)))
8.142 * [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
8.142 * [taylor]: Taking taylor expansion of 2.0 in beta
8.142 * [backup-simplify]: Simplify 2.0 into 2.0
8.142 * [taylor]: Taking taylor expansion of (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2))) in beta
8.142 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
8.142 * [taylor]: Taking taylor expansion of beta in beta
8.142 * [backup-simplify]: Simplify 0 into 0
8.142 * [backup-simplify]: Simplify 1 into 1
8.142 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)) in beta
8.143 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 2) in beta
8.143 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
8.143 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
8.143 * [taylor]: Taking taylor expansion of 2.0 in beta
8.143 * [backup-simplify]: Simplify 2.0 into 2.0
8.143 * [taylor]: Taking taylor expansion of i in beta
8.143 * [backup-simplify]: Simplify i into i
8.143 * [taylor]: Taking taylor expansion of beta in beta
8.143 * [backup-simplify]: Simplify 0 into 0
8.143 * [backup-simplify]: Simplify 1 into 1
8.143 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
8.143 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
8.143 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 2) in beta
8.143 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
8.143 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
8.143 * [taylor]: Taking taylor expansion of 2.0 in beta
8.143 * [backup-simplify]: Simplify 2.0 into 2.0
8.143 * [taylor]: Taking taylor expansion of i in beta
8.143 * [backup-simplify]: Simplify i into i
8.143 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
8.143 * [taylor]: Taking taylor expansion of beta in beta
8.143 * [backup-simplify]: Simplify 0 into 0
8.143 * [backup-simplify]: Simplify 1 into 1
8.143 * [taylor]: Taking taylor expansion of 2.0 in beta
8.143 * [backup-simplify]: Simplify 2.0 into 2.0
8.143 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
8.144 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
8.144 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
8.144 * [backup-simplify]: Simplify (* 1 1) into 1
8.145 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
8.145 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
8.145 * [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)))
8.145 * [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)))
8.146 * [backup-simplify]: Simplify (+ 0 0) into 0
8.146 * [taylor]: Taking taylor expansion of 0 in i
8.146 * [backup-simplify]: Simplify 0 into 0
8.146 * [backup-simplify]: Simplify 0 into 0
8.146 * [backup-simplify]: Simplify 0 into 0
8.147 * [backup-simplify]: Simplify (+ (* beta 0) (+ (* 0 0) (* 0 beta))) into 0
8.148 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 i))) into 0
8.148 * [backup-simplify]: Simplify (+ 0 0) into 0
8.149 * [backup-simplify]: Simplify (+ 0 0) into 0
8.149 * [backup-simplify]: Simplify (+ 0 0) into 0
8.150 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 i))) into 0
8.150 * [backup-simplify]: Simplify (+ 0 0) into 0
8.151 * [backup-simplify]: Simplify (+ 0 0) into 0
8.151 * [backup-simplify]: Simplify (+ (* (+ (* 2.0 i) beta) 0) (+ (* 1 1) (* 0 (+ (* 2.0 i) (+ beta 2.0))))) into 1
8.159 * [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))))
8.174 * [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))))
8.174 * [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)))))
8.182 * [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)))))
8.183 * [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
8.183 * [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
8.183 * [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
8.183 * [taylor]: Taking taylor expansion of 16.0 in beta
8.183 * [backup-simplify]: Simplify 16.0 into 16.0
8.183 * [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
8.183 * [taylor]: Taking taylor expansion of (* (pow i 2) (pow beta 2)) in beta
8.183 * [taylor]: Taking taylor expansion of (pow i 2) in beta
8.183 * [taylor]: Taking taylor expansion of i in beta
8.183 * [backup-simplify]: Simplify i into i
8.183 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
8.183 * [taylor]: Taking taylor expansion of beta in beta
8.183 * [backup-simplify]: Simplify 0 into 0
8.183 * [backup-simplify]: Simplify 1 into 1
8.183 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)) in beta
8.183 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 3) in beta
8.183 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
8.183 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
8.183 * [taylor]: Taking taylor expansion of 2.0 in beta
8.183 * [backup-simplify]: Simplify 2.0 into 2.0
8.183 * [taylor]: Taking taylor expansion of i in beta
8.183 * [backup-simplify]: Simplify i into i
8.183 * [taylor]: Taking taylor expansion of beta in beta
8.183 * [backup-simplify]: Simplify 0 into 0
8.183 * [backup-simplify]: Simplify 1 into 1
8.183 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
8.183 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
8.183 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 3) in beta
8.183 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
8.184 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
8.184 * [taylor]: Taking taylor expansion of 2.0 in beta
8.184 * [backup-simplify]: Simplify 2.0 into 2.0
8.184 * [taylor]: Taking taylor expansion of i in beta
8.184 * [backup-simplify]: Simplify i into i
8.184 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
8.184 * [taylor]: Taking taylor expansion of beta in beta
8.184 * [backup-simplify]: Simplify 0 into 0
8.184 * [backup-simplify]: Simplify 1 into 1
8.184 * [taylor]: Taking taylor expansion of 2.0 in beta
8.184 * [backup-simplify]: Simplify 2.0 into 2.0
8.184 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
8.185 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
8.185 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
8.185 * [backup-simplify]: Simplify (* i i) into (pow i 2)
8.185 * [backup-simplify]: Simplify (* 1 1) into 1
8.185 * [backup-simplify]: Simplify (* (pow i 2) 1) into (pow i 2)
8.185 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
8.186 * [backup-simplify]: Simplify (* (* 2.0 i) (* 4.0 (pow i 2))) into (* 8.0 (pow i 3))
8.186 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
8.186 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (pow (+ (* 2.0 i) 2.0) 2)) into (pow (+ (* 2.0 i) 2.0) 3)
8.186 * [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)))
8.187 * [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)))
8.187 * [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
8.187 * [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
8.187 * [taylor]: Taking taylor expansion of 4 in beta
8.187 * [backup-simplify]: Simplify 4 into 4
8.187 * [taylor]: Taking taylor expansion of (/ (pow beta 4) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3))) in beta
8.187 * [taylor]: Taking taylor expansion of (pow beta 4) 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 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)) in beta
8.187 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 3) in beta
8.187 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
8.187 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
8.187 * [taylor]: Taking taylor expansion of 2.0 in beta
8.187 * [backup-simplify]: Simplify 2.0 into 2.0
8.187 * [taylor]: Taking taylor expansion of i in beta
8.187 * [backup-simplify]: Simplify i into i
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 (* 2.0 i) into (* 2.0 i)
8.187 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
8.187 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 3) in beta
8.187 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
8.187 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
8.188 * [taylor]: Taking taylor expansion of 2.0 in beta
8.188 * [backup-simplify]: Simplify 2.0 into 2.0
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 2.0) in beta
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 * [taylor]: Taking taylor expansion of 2.0 in beta
8.188 * [backup-simplify]: Simplify 2.0 into 2.0
8.188 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
8.188 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
8.188 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
8.189 * [backup-simplify]: Simplify (* 1 1) into 1
8.189 * [backup-simplify]: Simplify (* 1 1) into 1
8.189 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
8.189 * [backup-simplify]: Simplify (* (* 2.0 i) (* 4.0 (pow i 2))) into (* 8.0 (pow i 3))
8.189 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
8.190 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (pow (+ (* 2.0 i) 2.0) 2)) into (pow (+ (* 2.0 i) 2.0) 3)
8.190 * [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)))
8.190 * [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)))
8.190 * [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
8.190 * [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
8.190 * [taylor]: Taking taylor expansion of 8.0 in beta
8.190 * [backup-simplify]: Simplify 8.0 into 8.0
8.190 * [taylor]: Taking taylor expansion of (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3))) in beta
8.191 * [taylor]: Taking taylor expansion of (pow beta 3) in beta
8.191 * [taylor]: Taking taylor expansion of beta in beta
8.191 * [backup-simplify]: Simplify 0 into 0
8.191 * [backup-simplify]: Simplify 1 into 1
8.191 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)) in beta
8.191 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 3) in beta
8.191 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
8.191 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
8.191 * [taylor]: Taking taylor expansion of 2.0 in beta
8.191 * [backup-simplify]: Simplify 2.0 into 2.0
8.191 * [taylor]: Taking taylor expansion of i in beta
8.191 * [backup-simplify]: Simplify i into i
8.191 * [taylor]: Taking taylor expansion of beta in beta
8.191 * [backup-simplify]: Simplify 0 into 0
8.191 * [backup-simplify]: Simplify 1 into 1
8.191 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
8.191 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
8.191 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 3) in beta
8.191 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
8.191 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
8.191 * [taylor]: Taking taylor expansion of 2.0 in beta
8.191 * [backup-simplify]: Simplify 2.0 into 2.0
8.191 * [taylor]: Taking taylor expansion of i in beta
8.191 * [backup-simplify]: Simplify i into i
8.191 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
8.191 * [taylor]: Taking taylor expansion of beta in beta
8.191 * [backup-simplify]: Simplify 0 into 0
8.191 * [backup-simplify]: Simplify 1 into 1
8.191 * [taylor]: Taking taylor expansion of 2.0 in beta
8.191 * [backup-simplify]: Simplify 2.0 into 2.0
8.191 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
8.192 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
8.192 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
8.192 * [backup-simplify]: Simplify (* 1 1) into 1
8.193 * [backup-simplify]: Simplify (* 1 1) into 1
8.193 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
8.193 * [backup-simplify]: Simplify (* (* 2.0 i) (* 4.0 (pow i 2))) into (* 8.0 (pow i 3))
8.193 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
8.193 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (pow (+ (* 2.0 i) 2.0) 2)) into (pow (+ (* 2.0 i) 2.0) 3)
8.194 * [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)))
8.194 * [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)))
8.194 * [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
8.194 * [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
8.194 * [taylor]: Taking taylor expansion of 16.0 in beta
8.194 * [backup-simplify]: Simplify 16.0 into 16.0
8.194 * [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
8.194 * [taylor]: Taking taylor expansion of (* i (pow beta 3)) in beta
8.194 * [taylor]: Taking taylor expansion of i in beta
8.194 * [backup-simplify]: Simplify i into i
8.194 * [taylor]: Taking taylor expansion of (pow beta 3) in beta
8.194 * [taylor]: Taking taylor expansion of beta in beta
8.194 * [backup-simplify]: Simplify 0 into 0
8.194 * [backup-simplify]: Simplify 1 into 1
8.194 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)) in beta
8.194 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 3) in beta
8.194 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
8.194 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
8.194 * [taylor]: Taking taylor expansion of 2.0 in beta
8.194 * [backup-simplify]: Simplify 2.0 into 2.0
8.194 * [taylor]: Taking taylor expansion of i in beta
8.194 * [backup-simplify]: Simplify i into i
8.194 * [taylor]: Taking taylor expansion of beta in beta
8.194 * [backup-simplify]: Simplify 0 into 0
8.194 * [backup-simplify]: Simplify 1 into 1
8.195 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
8.195 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
8.195 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 3) in beta
8.195 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
8.195 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
8.195 * [taylor]: Taking taylor expansion of 2.0 in beta
8.195 * [backup-simplify]: Simplify 2.0 into 2.0
8.195 * [taylor]: Taking taylor expansion of i in beta
8.195 * [backup-simplify]: Simplify i into i
8.195 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
8.195 * [taylor]: Taking taylor expansion of beta in beta
8.195 * [backup-simplify]: Simplify 0 into 0
8.195 * [backup-simplify]: Simplify 1 into 1
8.195 * [taylor]: Taking taylor expansion of 2.0 in beta
8.195 * [backup-simplify]: Simplify 2.0 into 2.0
8.195 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
8.195 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
8.195 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
8.196 * [backup-simplify]: Simplify (* 1 1) into 1
8.196 * [backup-simplify]: Simplify (* 1 1) into 1
8.196 * [backup-simplify]: Simplify (* i 1) into i
8.196 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
8.196 * [backup-simplify]: Simplify (* (* 2.0 i) (* 4.0 (pow i 2))) into (* 8.0 (pow i 3))
8.197 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
8.197 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (pow (+ (* 2.0 i) 2.0) 2)) into (pow (+ (* 2.0 i) 2.0) 3)
8.197 * [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)))
8.197 * [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)))
8.197 * [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
8.198 * [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
8.198 * [taylor]: Taking taylor expansion of 16.0 in beta
8.198 * [backup-simplify]: Simplify 16.0 into 16.0
8.198 * [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
8.198 * [taylor]: Taking taylor expansion of (* i (pow beta 2)) in beta
8.198 * [taylor]: Taking taylor expansion of i in beta
8.198 * [backup-simplify]: Simplify i into i
8.198 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
8.198 * [taylor]: Taking taylor expansion of beta in beta
8.198 * [backup-simplify]: Simplify 0 into 0
8.198 * [backup-simplify]: Simplify 1 into 1
8.198 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)) in beta
8.198 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 3) in beta
8.198 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
8.198 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
8.198 * [taylor]: Taking taylor expansion of 2.0 in beta
8.198 * [backup-simplify]: Simplify 2.0 into 2.0
8.198 * [taylor]: Taking taylor expansion of i in beta
8.198 * [backup-simplify]: Simplify i into i
8.198 * [taylor]: Taking taylor expansion of beta in beta
8.198 * [backup-simplify]: Simplify 0 into 0
8.198 * [backup-simplify]: Simplify 1 into 1
8.198 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
8.198 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
8.198 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 3) in beta
8.198 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
8.198 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
8.198 * [taylor]: Taking taylor expansion of 2.0 in beta
8.198 * [backup-simplify]: Simplify 2.0 into 2.0
8.198 * [taylor]: Taking taylor expansion of i in beta
8.198 * [backup-simplify]: Simplify i into i
8.198 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
8.198 * [taylor]: Taking taylor expansion of beta in beta
8.198 * [backup-simplify]: Simplify 0 into 0
8.198 * [backup-simplify]: Simplify 1 into 1
8.198 * [taylor]: Taking taylor expansion of 2.0 in beta
8.199 * [backup-simplify]: Simplify 2.0 into 2.0
8.199 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
8.199 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
8.199 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
8.199 * [backup-simplify]: Simplify (* 1 1) into 1
8.199 * [backup-simplify]: Simplify (* i 1) into i
8.200 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
8.200 * [backup-simplify]: Simplify (* (* 2.0 i) (* 4.0 (pow i 2))) into (* 8.0 (pow i 3))
8.200 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
8.200 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (pow (+ (* 2.0 i) 2.0) 2)) into (pow (+ (* 2.0 i) 2.0) 3)
8.200 * [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)))
8.201 * [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)))
8.201 * [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
8.201 * [taylor]: Taking taylor expansion of 4.0 in beta
8.201 * [backup-simplify]: Simplify 4.0 into 4.0
8.201 * [taylor]: Taking taylor expansion of (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3))) in beta
8.201 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
8.201 * [taylor]: Taking taylor expansion of beta in beta
8.201 * [backup-simplify]: Simplify 0 into 0
8.201 * [backup-simplify]: Simplify 1 into 1
8.201 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)) in beta
8.201 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 3) in beta
8.201 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
8.201 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
8.201 * [taylor]: Taking taylor expansion of 2.0 in beta
8.201 * [backup-simplify]: Simplify 2.0 into 2.0
8.201 * [taylor]: Taking taylor expansion of i in beta
8.201 * [backup-simplify]: Simplify i into i
8.201 * [taylor]: Taking taylor expansion of beta in beta
8.201 * [backup-simplify]: Simplify 0 into 0
8.201 * [backup-simplify]: Simplify 1 into 1
8.201 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
8.201 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
8.201 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 3) in beta
8.201 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
8.201 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
8.201 * [taylor]: Taking taylor expansion of 2.0 in beta
8.201 * [backup-simplify]: Simplify 2.0 into 2.0
8.201 * [taylor]: Taking taylor expansion of i in beta
8.201 * [backup-simplify]: Simplify i into i
8.201 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
8.202 * [taylor]: Taking taylor expansion of beta in beta
8.202 * [backup-simplify]: Simplify 0 into 0
8.202 * [backup-simplify]: Simplify 1 into 1
8.202 * [taylor]: Taking taylor expansion of 2.0 in beta
8.202 * [backup-simplify]: Simplify 2.0 into 2.0
8.202 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
8.202 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
8.202 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
8.202 * [backup-simplify]: Simplify (* 1 1) into 1
8.203 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
8.203 * [backup-simplify]: Simplify (* (* 2.0 i) (* 4.0 (pow i 2))) into (* 8.0 (pow i 3))
8.203 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
8.203 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (pow (+ (* 2.0 i) 2.0) 2)) into (pow (+ (* 2.0 i) 2.0) 3)
8.203 * [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)))
8.204 * [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)))
8.204 * [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
8.204 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))) in beta
8.204 * [taylor]: Taking taylor expansion of (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0))) in beta
8.204 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
8.204 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
8.204 * [taylor]: Taking taylor expansion of 2.0 in beta
8.204 * [backup-simplify]: Simplify 2.0 into 2.0
8.204 * [taylor]: Taking taylor expansion of i in beta
8.204 * [backup-simplify]: Simplify i into i
8.204 * [taylor]: Taking taylor expansion of beta in beta
8.204 * [backup-simplify]: Simplify 0 into 0
8.204 * [backup-simplify]: Simplify 1 into 1
8.204 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
8.204 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
8.204 * [taylor]: Taking taylor expansion of 2.0 in beta
8.204 * [backup-simplify]: Simplify 2.0 into 2.0
8.204 * [taylor]: Taking taylor expansion of i in beta
8.204 * [backup-simplify]: Simplify i into i
8.204 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
8.204 * [taylor]: Taking taylor expansion of beta in beta
8.204 * [backup-simplify]: Simplify 0 into 0
8.204 * [backup-simplify]: Simplify 1 into 1
8.204 * [taylor]: Taking taylor expansion of 2.0 in beta
8.204 * [backup-simplify]: Simplify 2.0 into 2.0
8.204 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
8.204 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
8.204 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
8.205 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
8.205 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
8.205 * [backup-simplify]: Simplify (* (* 2.0 i) (+ (* 2.0 i) 2.0)) into (* 2.0 (* i (+ (* 2.0 i) 2.0)))
8.205 * [backup-simplify]: Simplify (/ 1 (* 2.0 (* i (+ (* 2.0 i) 2.0)))) into (/ 0.5 (* i (+ (* 2.0 i) 2.0)))
8.205 * [taylor]: Taking taylor expansion of (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2))) in beta
8.205 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
8.205 * [taylor]: Taking taylor expansion of beta in beta
8.205 * [backup-simplify]: Simplify 0 into 0
8.205 * [backup-simplify]: Simplify 1 into 1
8.205 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)) in beta
8.205 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 2) in beta
8.206 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
8.206 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
8.206 * [taylor]: Taking taylor expansion of 2.0 in beta
8.206 * [backup-simplify]: Simplify 2.0 into 2.0
8.206 * [taylor]: Taking taylor expansion of i in beta
8.206 * [backup-simplify]: Simplify i into i
8.206 * [taylor]: Taking taylor expansion of beta in beta
8.206 * [backup-simplify]: Simplify 0 into 0
8.206 * [backup-simplify]: Simplify 1 into 1
8.206 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
8.206 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
8.206 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 2) in beta
8.206 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
8.206 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
8.206 * [taylor]: Taking taylor expansion of 2.0 in beta
8.206 * [backup-simplify]: Simplify 2.0 into 2.0
8.206 * [taylor]: Taking taylor expansion of i in beta
8.206 * [backup-simplify]: Simplify i into i
8.206 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
8.206 * [taylor]: Taking taylor expansion of beta in beta
8.206 * [backup-simplify]: Simplify 0 into 0
8.206 * [backup-simplify]: Simplify 1 into 1
8.206 * [taylor]: Taking taylor expansion of 2.0 in beta
8.206 * [backup-simplify]: Simplify 2.0 into 2.0
8.206 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
8.207 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
8.207 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
8.207 * [backup-simplify]: Simplify (* 1 1) into 1
8.207 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
8.207 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
8.208 * [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)))
8.208 * [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)))
8.208 * [backup-simplify]: Simplify (+ (/ 0.5 (* i (+ (* 2.0 i) 2.0))) 0) into (* 0.5 (/ 1 (* i (+ (* 2.0 i) 2.0))))
8.209 * [backup-simplify]: Simplify (- (* 0.5 (/ 1 (* i (+ (* 2.0 i) 2.0))))) into (- (* 0.5 (/ 1 (* i (+ (* 2.0 i) 2.0)))))
8.209 * [backup-simplify]: Simplify (+ 0 (- (* 0.5 (/ 1 (* i (+ (* 2.0 i) 2.0)))))) into (- (* 0.5 (/ 1 (* i (+ (* 2.0 i) 2.0)))))
8.209 * [taylor]: Taking taylor expansion of (- (* 0.5 (/ 1 (* i (+ (* 2.0 i) 2.0))))) in i
8.209 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (* i (+ (* 2.0 i) 2.0)))) in i
8.209 * [taylor]: Taking taylor expansion of 0.5 in i
8.209 * [backup-simplify]: Simplify 0.5 into 0.5
8.209 * [taylor]: Taking taylor expansion of (/ 1 (* i (+ (* 2.0 i) 2.0))) in i
8.209 * [taylor]: Taking taylor expansion of (* i (+ (* 2.0 i) 2.0)) in i
8.209 * [taylor]: Taking taylor expansion of i in i
8.209 * [backup-simplify]: Simplify 0 into 0
8.209 * [backup-simplify]: Simplify 1 into 1
8.209 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) 2.0) in i
8.209 * [taylor]: Taking taylor expansion of (* 2.0 i) in i
8.209 * [taylor]: Taking taylor expansion of 2.0 in i
8.209 * [backup-simplify]: Simplify 2.0 into 2.0
8.209 * [taylor]: Taking taylor expansion of i in i
8.209 * [backup-simplify]: Simplify 0 into 0
8.209 * [backup-simplify]: Simplify 1 into 1
8.209 * [taylor]: Taking taylor expansion of 2.0 in i
8.209 * [backup-simplify]: Simplify 2.0 into 2.0
8.210 * [backup-simplify]: Simplify (* 2.0 0) into 0
8.210 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
8.210 * [backup-simplify]: Simplify (* 0 2.0) into 0
8.212 * [backup-simplify]: Simplify (+ (* 2.0 1) (* 0 0)) into 2.0
8.212 * [backup-simplify]: Simplify (+ 2.0 0) into 2.0
8.213 * [backup-simplify]: Simplify (+ (* 0 2.0) (* 1 2.0)) into 2.0
8.214 * [backup-simplify]: Simplify (/ 1 2.0) into 0.5
8.215 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 1) (* 0 0))) into 0
8.215 * [backup-simplify]: Simplify (+ 0 0) into 0
8.217 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 2.0) (* 0 2.0))) into 2.0
8.219 * [backup-simplify]: Simplify (- (+ (* 0.5 (/ 2.0 2.0)))) into (- 0.5)
8.221 * [backup-simplify]: Simplify (+ (* 0.5 (- 0.5)) (* 0 0.5)) into (- 0.25)
8.222 * [backup-simplify]: Simplify (- (- 0.25)) into 0.25
8.222 * [backup-simplify]: Simplify 0.25 into 0.25
8.222 * [backup-simplify]: Simplify (+ (/ 0.5 (* i (+ (* 2.0 i) 2.0))) 0) into (* 0.5 (/ 1 (* i (+ (* 2.0 i) 2.0))))
8.222 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (* i (+ (* 2.0 i) 2.0)))) in i
8.222 * [taylor]: Taking taylor expansion of 0.5 in i
8.222 * [backup-simplify]: Simplify 0.5 into 0.5
8.222 * [taylor]: Taking taylor expansion of (/ 1 (* i (+ (* 2.0 i) 2.0))) in i
8.222 * [taylor]: Taking taylor expansion of (* i (+ (* 2.0 i) 2.0)) in i
8.222 * [taylor]: Taking taylor expansion of i in i
8.222 * [backup-simplify]: Simplify 0 into 0
8.222 * [backup-simplify]: Simplify 1 into 1
8.222 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) 2.0) in i
8.222 * [taylor]: Taking taylor expansion of (* 2.0 i) in i
8.222 * [taylor]: Taking taylor expansion of 2.0 in i
8.222 * [backup-simplify]: Simplify 2.0 into 2.0
8.222 * [taylor]: Taking taylor expansion of i in i
8.222 * [backup-simplify]: Simplify 0 into 0
8.222 * [backup-simplify]: Simplify 1 into 1
8.222 * [taylor]: Taking taylor expansion of 2.0 in i
8.222 * [backup-simplify]: Simplify 2.0 into 2.0
8.223 * [backup-simplify]: Simplify (* 2.0 0) into 0
8.223 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
8.223 * [backup-simplify]: Simplify (* 0 2.0) into 0
8.225 * [backup-simplify]: Simplify (+ (* 2.0 1) (* 0 0)) into 2.0
8.225 * [backup-simplify]: Simplify (+ 2.0 0) into 2.0
8.226 * [backup-simplify]: Simplify (+ (* 0 2.0) (* 1 2.0)) into 2.0
8.227 * [backup-simplify]: Simplify (/ 1 2.0) into 0.5
8.228 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 1) (* 0 0))) into 0
8.228 * [backup-simplify]: Simplify (+ 0 0) into 0
8.230 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 2.0) (* 0 2.0))) into 2.0
8.233 * [backup-simplify]: Simplify (- (+ (* 0.5 (/ 2.0 2.0)))) into (- 0.5)
8.234 * [backup-simplify]: Simplify (+ (* 0.5 (- 0.5)) (* 0 0.5)) into (- 0.25)
8.235 * [backup-simplify]: Simplify (- 0.25) into (- 0.25)
8.236 * [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)))
8.237 * [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)))))))
8.238 * [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
8.238 * [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
8.238 * [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
8.238 * [taylor]: Taking taylor expansion of 1.0 in i
8.238 * [backup-simplify]: Simplify 1.0 into 1.0
8.238 * [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
8.238 * [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
8.238 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) in i
8.238 * [taylor]: Taking taylor expansion of (/ 1 alpha) in i
8.238 * [taylor]: Taking taylor expansion of alpha in i
8.238 * [backup-simplify]: Simplify alpha into alpha
8.238 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
8.238 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0)) in i
8.238 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in i
8.238 * [taylor]: Taking taylor expansion of 2.0 in i
8.238 * [backup-simplify]: Simplify 2.0 into 2.0
8.238 * [taylor]: Taking taylor expansion of (/ 1 i) in i
8.238 * [taylor]: Taking taylor expansion of i in i
8.238 * [backup-simplify]: Simplify 0 into 0
8.238 * [backup-simplify]: Simplify 1 into 1
8.239 * [backup-simplify]: Simplify (/ 1 1) into 1
8.239 * [taylor]: Taking taylor expansion of (+ (/ 1 beta) 2.0) in i
8.239 * [taylor]: Taking taylor expansion of (/ 1 beta) in i
8.239 * [taylor]: Taking taylor expansion of beta in i
8.239 * [backup-simplify]: Simplify beta into beta
8.239 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
8.239 * [taylor]: Taking taylor expansion of 2.0 in i
8.239 * [backup-simplify]: Simplify 2.0 into 2.0
8.239 * [taylor]: Taking taylor expansion of (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2)) in i
8.239 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in i
8.239 * [taylor]: Taking taylor expansion of (/ 1 alpha) in i
8.239 * [taylor]: Taking taylor expansion of alpha in i
8.239 * [backup-simplify]: Simplify alpha into alpha
8.239 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
8.239 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in i
8.239 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in i
8.239 * [taylor]: Taking taylor expansion of 2.0 in i
8.239 * [backup-simplify]: Simplify 2.0 into 2.0
8.239 * [taylor]: Taking taylor expansion of (/ 1 i) in i
8.239 * [taylor]: Taking taylor expansion of i in i
8.240 * [backup-simplify]: Simplify 0 into 0
8.240 * [backup-simplify]: Simplify 1 into 1
8.240 * [backup-simplify]: Simplify (/ 1 1) into 1
8.240 * [taylor]: Taking taylor expansion of (/ 1 beta) in i
8.240 * [taylor]: Taking taylor expansion of beta in i
8.240 * [backup-simplify]: Simplify beta into beta
8.240 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
8.240 * [taylor]: Taking taylor expansion of (pow beta 2) in i
8.240 * [taylor]: Taking taylor expansion of beta in i
8.240 * [backup-simplify]: Simplify beta into beta
8.241 * [backup-simplify]: Simplify (* 2.0 1) into 2.0
8.241 * [backup-simplify]: Simplify (+ 2.0 0) into 2.0
8.242 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
8.242 * [backup-simplify]: Simplify (* 2.0 1) into 2.0
8.243 * [backup-simplify]: Simplify (+ 2.0 0) into 2.0
8.243 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
8.243 * [backup-simplify]: Simplify (* beta beta) into (pow beta 2)
8.243 * [backup-simplify]: Simplify (* 2.0 (pow beta 2)) into (* 2.0 (pow beta 2))
8.244 * [backup-simplify]: Simplify (* 2.0 (* 2.0 (pow beta 2))) into (* 4.0 (pow beta 2))
8.244 * [backup-simplify]: Simplify (/ 1 (* 4.0 (pow beta 2))) into (/ 0.25 (pow beta 2))
8.244 * [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
8.244 * [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
8.244 * [taylor]: Taking taylor expansion of (pow alpha 2) in i
8.244 * [taylor]: Taking taylor expansion of alpha in i
8.244 * [backup-simplify]: Simplify alpha into alpha
8.244 * [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
8.244 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in i
8.244 * [taylor]: Taking taylor expansion of (/ 1 alpha) in i
8.244 * [taylor]: Taking taylor expansion of alpha in i
8.244 * [backup-simplify]: Simplify alpha into alpha
8.244 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
8.244 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in i
8.244 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in i
8.244 * [taylor]: Taking taylor expansion of 2.0 in i
8.244 * [backup-simplify]: Simplify 2.0 into 2.0
8.244 * [taylor]: Taking taylor expansion of (/ 1 i) in i
8.244 * [taylor]: Taking taylor expansion of i in i
8.244 * [backup-simplify]: Simplify 0 into 0
8.244 * [backup-simplify]: Simplify 1 into 1
8.245 * [backup-simplify]: Simplify (/ 1 1) into 1
8.245 * [taylor]: Taking taylor expansion of (/ 1 beta) in i
8.245 * [taylor]: Taking taylor expansion of beta in i
8.245 * [backup-simplify]: Simplify beta into beta
8.245 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
8.245 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) in i
8.245 * [taylor]: Taking taylor expansion of (/ 1 alpha) in i
8.245 * [taylor]: Taking taylor expansion of alpha in i
8.245 * [backup-simplify]: Simplify alpha into alpha
8.245 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
8.245 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0)) in i
8.245 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in i
8.245 * [taylor]: Taking taylor expansion of 2.0 in i
8.245 * [backup-simplify]: Simplify 2.0 into 2.0
8.245 * [taylor]: Taking taylor expansion of (/ 1 i) in i
8.245 * [taylor]: Taking taylor expansion of i in i
8.245 * [backup-simplify]: Simplify 0 into 0
8.245 * [backup-simplify]: Simplify 1 into 1
8.246 * [backup-simplify]: Simplify (/ 1 1) into 1
8.246 * [taylor]: Taking taylor expansion of (+ (/ 1 beta) 2.0) in i
8.246 * [taylor]: Taking taylor expansion of (/ 1 beta) in i
8.246 * [taylor]: Taking taylor expansion of beta in i
8.246 * [backup-simplify]: Simplify beta into beta
8.246 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
8.246 * [taylor]: Taking taylor expansion of 2.0 in i
8.246 * [backup-simplify]: Simplify 2.0 into 2.0
8.246 * [backup-simplify]: Simplify (* alpha alpha) into (pow alpha 2)
8.247 * [backup-simplify]: Simplify (* 2.0 1) into 2.0
8.247 * [backup-simplify]: Simplify (+ 2.0 0) into 2.0
8.248 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
8.248 * [backup-simplify]: Simplify (* 2.0 1) into 2.0
8.248 * [backup-simplify]: Simplify (+ 2.0 0) into 2.0
8.249 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
8.249 * [backup-simplify]: Simplify (* 2.0 2.0) into 4.0
8.250 * [backup-simplify]: Simplify (* (pow alpha 2) 4.0) into (* 4.0 (pow alpha 2))
8.250 * [backup-simplify]: Simplify (/ 1 (* 4.0 (pow alpha 2))) into (/ 0.25 (pow alpha 2))
8.250 * [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
8.250 * [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
8.250 * [taylor]: Taking taylor expansion of 1.0 in beta
8.250 * [backup-simplify]: Simplify 1.0 into 1.0
8.250 * [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
8.250 * [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
8.250 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) in beta
8.250 * [taylor]: Taking taylor expansion of (/ 1 alpha) in beta
8.250 * [taylor]: Taking taylor expansion of alpha in beta
8.250 * [backup-simplify]: Simplify alpha into alpha
8.250 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
8.250 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0)) in beta
8.250 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in beta
8.250 * [taylor]: Taking taylor expansion of 2.0 in beta
8.250 * [backup-simplify]: Simplify 2.0 into 2.0
8.250 * [taylor]: Taking taylor expansion of (/ 1 i) in beta
8.250 * [taylor]: Taking taylor expansion of i in beta
8.250 * [backup-simplify]: Simplify i into i
8.251 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
8.251 * [taylor]: Taking taylor expansion of (+ (/ 1 beta) 2.0) in beta
8.251 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
8.251 * [taylor]: Taking taylor expansion of beta in beta
8.251 * [backup-simplify]: Simplify 0 into 0
8.251 * [backup-simplify]: Simplify 1 into 1
8.251 * [backup-simplify]: Simplify (/ 1 1) into 1
8.251 * [taylor]: Taking taylor expansion of 2.0 in beta
8.251 * [backup-simplify]: Simplify 2.0 into 2.0
8.251 * [taylor]: Taking taylor expansion of (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2)) in beta
8.251 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in beta
8.251 * [taylor]: Taking taylor expansion of (/ 1 alpha) in beta
8.251 * [taylor]: Taking taylor expansion of alpha in beta
8.251 * [backup-simplify]: Simplify alpha into alpha
8.251 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
8.251 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in beta
8.251 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in beta
8.251 * [taylor]: Taking taylor expansion of 2.0 in beta
8.251 * [backup-simplify]: Simplify 2.0 into 2.0
8.252 * [taylor]: Taking taylor expansion of (/ 1 i) in beta
8.252 * [taylor]: Taking taylor expansion of i in beta
8.252 * [backup-simplify]: Simplify i into i
8.252 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
8.252 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
8.252 * [taylor]: Taking taylor expansion of beta in beta
8.252 * [backup-simplify]: Simplify 0 into 0
8.252 * [backup-simplify]: Simplify 1 into 1
8.252 * [backup-simplify]: Simplify (/ 1 1) into 1
8.252 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
8.252 * [taylor]: Taking taylor expansion of beta in beta
8.252 * [backup-simplify]: Simplify 0 into 0
8.252 * [backup-simplify]: Simplify 1 into 1
8.253 * [backup-simplify]: Simplify (+ 1 0) into 1
8.253 * [backup-simplify]: Simplify (+ 0 1) into 1
8.254 * [backup-simplify]: Simplify (+ 0 1) into 1
8.254 * [backup-simplify]: Simplify (+ 0 1) into 1
8.254 * [backup-simplify]: Simplify (+ 0 1) into 1
8.255 * [backup-simplify]: Simplify (* 1 1) into 1
8.255 * [backup-simplify]: Simplify (* 1 1) into 1
8.256 * [backup-simplify]: Simplify (* 1 1) into 1
8.256 * [backup-simplify]: Simplify (/ 1 1) into 1
8.256 * [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
8.256 * [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
8.256 * [taylor]: Taking taylor expansion of (pow alpha 2) in beta
8.256 * [taylor]: Taking taylor expansion of alpha in beta
8.256 * [backup-simplify]: Simplify alpha into alpha
8.256 * [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
8.256 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in beta
8.256 * [taylor]: Taking taylor expansion of (/ 1 alpha) in beta
8.256 * [taylor]: Taking taylor expansion of alpha in beta
8.256 * [backup-simplify]: Simplify alpha into alpha
8.256 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
8.256 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in beta
8.256 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in beta
8.256 * [taylor]: Taking taylor expansion of 2.0 in beta
8.257 * [backup-simplify]: Simplify 2.0 into 2.0
8.257 * [taylor]: Taking taylor expansion of (/ 1 i) in beta
8.257 * [taylor]: Taking taylor expansion of i in beta
8.257 * [backup-simplify]: Simplify i into i
8.257 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
8.257 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
8.257 * [taylor]: Taking taylor expansion of beta in beta
8.257 * [backup-simplify]: Simplify 0 into 0
8.257 * [backup-simplify]: Simplify 1 into 1
8.257 * [backup-simplify]: Simplify (/ 1 1) into 1
8.257 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) in beta
8.257 * [taylor]: Taking taylor expansion of (/ 1 alpha) in beta
8.257 * [taylor]: Taking taylor expansion of alpha in beta
8.257 * [backup-simplify]: Simplify alpha into alpha
8.257 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
8.257 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0)) in beta
8.257 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in beta
8.258 * [taylor]: Taking taylor expansion of 2.0 in beta
8.258 * [backup-simplify]: Simplify 2.0 into 2.0
8.258 * [taylor]: Taking taylor expansion of (/ 1 i) in beta
8.258 * [taylor]: Taking taylor expansion of i in beta
8.258 * [backup-simplify]: Simplify i into i
8.258 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
8.258 * [taylor]: Taking taylor expansion of (+ (/ 1 beta) 2.0) in beta
8.258 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
8.258 * [taylor]: Taking taylor expansion of beta in beta
8.258 * [backup-simplify]: Simplify 0 into 0
8.258 * [backup-simplify]: Simplify 1 into 1
8.258 * [backup-simplify]: Simplify (/ 1 1) into 1
8.258 * [taylor]: Taking taylor expansion of 2.0 in beta
8.258 * [backup-simplify]: Simplify 2.0 into 2.0
8.258 * [backup-simplify]: Simplify (* alpha alpha) into (pow alpha 2)
8.259 * [backup-simplify]: Simplify (+ 0 1) into 1
8.259 * [backup-simplify]: Simplify (+ 0 1) into 1
8.260 * [backup-simplify]: Simplify (+ 1 0) into 1
8.260 * [backup-simplify]: Simplify (+ 0 1) into 1
8.261 * [backup-simplify]: Simplify (+ 0 1) into 1
8.261 * [backup-simplify]: Simplify (* 1 1) into 1
8.261 * [backup-simplify]: Simplify (* (pow alpha 2) 1) into (pow alpha 2)
8.261 * [backup-simplify]: Simplify (/ 1 (pow alpha 2)) into (/ 1 (pow alpha 2))
8.261 * [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
8.261 * [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
8.261 * [taylor]: Taking taylor expansion of 1.0 in alpha
8.262 * [backup-simplify]: Simplify 1.0 into 1.0
8.262 * [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
8.262 * [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
8.262 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) in alpha
8.262 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
8.262 * [taylor]: Taking taylor expansion of alpha in alpha
8.262 * [backup-simplify]: Simplify 0 into 0
8.262 * [backup-simplify]: Simplify 1 into 1
8.262 * [backup-simplify]: Simplify (/ 1 1) into 1
8.262 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0)) in alpha
8.262 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
8.262 * [taylor]: Taking taylor expansion of 2.0 in alpha
8.262 * [backup-simplify]: Simplify 2.0 into 2.0
8.262 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
8.262 * [taylor]: Taking taylor expansion of i in alpha
8.262 * [backup-simplify]: Simplify i into i
8.262 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
8.262 * [taylor]: Taking taylor expansion of (+ (/ 1 beta) 2.0) in alpha
8.263 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
8.263 * [taylor]: Taking taylor expansion of beta in alpha
8.263 * [backup-simplify]: Simplify beta into beta
8.263 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
8.263 * [taylor]: Taking taylor expansion of 2.0 in alpha
8.263 * [backup-simplify]: Simplify 2.0 into 2.0
8.263 * [taylor]: Taking taylor expansion of (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2)) in alpha
8.263 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in alpha
8.263 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
8.263 * [taylor]: Taking taylor expansion of alpha in alpha
8.263 * [backup-simplify]: Simplify 0 into 0
8.263 * [backup-simplify]: Simplify 1 into 1
8.263 * [backup-simplify]: Simplify (/ 1 1) into 1
8.263 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in alpha
8.263 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
8.263 * [taylor]: Taking taylor expansion of 2.0 in alpha
8.263 * [backup-simplify]: Simplify 2.0 into 2.0
8.263 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
8.264 * [taylor]: Taking taylor expansion of i in alpha
8.264 * [backup-simplify]: Simplify i into i
8.264 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
8.264 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
8.264 * [taylor]: Taking taylor expansion of beta in alpha
8.264 * [backup-simplify]: Simplify beta into beta
8.264 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
8.264 * [taylor]: Taking taylor expansion of (pow beta 2) in alpha
8.264 * [taylor]: Taking taylor expansion of beta in alpha
8.264 * [backup-simplify]: Simplify beta into beta
8.264 * [backup-simplify]: Simplify (+ 1 0) into 1
8.265 * [backup-simplify]: Simplify (+ 1 0) into 1
8.265 * [backup-simplify]: Simplify (* beta beta) into (pow beta 2)
8.265 * [backup-simplify]: Simplify (* 1 (pow beta 2)) into (pow beta 2)
8.265 * [backup-simplify]: Simplify (* 1 (pow beta 2)) into (pow beta 2)
8.265 * [backup-simplify]: Simplify (/ 1 (pow beta 2)) into (/ 1 (pow beta 2))
8.265 * [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
8.265 * [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
8.265 * [taylor]: Taking taylor expansion of (pow alpha 2) in alpha
8.265 * [taylor]: Taking taylor expansion of alpha in alpha
8.265 * [backup-simplify]: Simplify 0 into 0
8.265 * [backup-simplify]: Simplify 1 into 1
8.265 * [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
8.265 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in alpha
8.266 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
8.266 * [taylor]: Taking taylor expansion of alpha in alpha
8.266 * [backup-simplify]: Simplify 0 into 0
8.266 * [backup-simplify]: Simplify 1 into 1
8.266 * [backup-simplify]: Simplify (/ 1 1) into 1
8.266 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in alpha
8.266 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
8.266 * [taylor]: Taking taylor expansion of 2.0 in alpha
8.266 * [backup-simplify]: Simplify 2.0 into 2.0
8.266 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
8.266 * [taylor]: Taking taylor expansion of i in alpha
8.266 * [backup-simplify]: Simplify i into i
8.266 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
8.266 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
8.266 * [taylor]: Taking taylor expansion of beta in alpha
8.266 * [backup-simplify]: Simplify beta into beta
8.266 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
8.266 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) in alpha
8.266 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
8.266 * [taylor]: Taking taylor expansion of alpha in alpha
8.266 * [backup-simplify]: Simplify 0 into 0
8.266 * [backup-simplify]: Simplify 1 into 1
8.267 * [backup-simplify]: Simplify (/ 1 1) into 1
8.267 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0)) in alpha
8.267 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
8.267 * [taylor]: Taking taylor expansion of 2.0 in alpha
8.267 * [backup-simplify]: Simplify 2.0 into 2.0
8.267 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
8.267 * [taylor]: Taking taylor expansion of i in alpha
8.267 * [backup-simplify]: Simplify i into i
8.267 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
8.267 * [taylor]: Taking taylor expansion of (+ (/ 1 beta) 2.0) in alpha
8.267 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
8.267 * [taylor]: Taking taylor expansion of beta in alpha
8.267 * [backup-simplify]: Simplify beta into beta
8.267 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
8.267 * [taylor]: Taking taylor expansion of 2.0 in alpha
8.267 * [backup-simplify]: Simplify 2.0 into 2.0
8.268 * [backup-simplify]: Simplify (* 1 1) into 1
8.268 * [backup-simplify]: Simplify (+ 1 0) into 1
8.269 * [backup-simplify]: Simplify (+ 1 0) into 1
8.269 * [backup-simplify]: Simplify (* 1 1) into 1
8.269 * [backup-simplify]: Simplify (* 1 1) into 1
8.270 * [backup-simplify]: Simplify (/ 1 1) into 1
8.270 * [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
8.270 * [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
8.270 * [taylor]: Taking taylor expansion of 1.0 in alpha
8.270 * [backup-simplify]: Simplify 1.0 into 1.0
8.270 * [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
8.270 * [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
8.270 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) in alpha
8.270 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
8.270 * [taylor]: Taking taylor expansion of alpha in alpha
8.270 * [backup-simplify]: Simplify 0 into 0
8.270 * [backup-simplify]: Simplify 1 into 1
8.270 * [backup-simplify]: Simplify (/ 1 1) into 1
8.270 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0)) in alpha
8.270 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
8.270 * [taylor]: Taking taylor expansion of 2.0 in alpha
8.270 * [backup-simplify]: Simplify 2.0 into 2.0
8.270 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
8.270 * [taylor]: Taking taylor expansion of i in alpha
8.270 * [backup-simplify]: Simplify i into i
8.271 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
8.271 * [taylor]: Taking taylor expansion of (+ (/ 1 beta) 2.0) in alpha
8.271 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
8.271 * [taylor]: Taking taylor expansion of beta in alpha
8.271 * [backup-simplify]: Simplify beta into beta
8.271 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
8.271 * [taylor]: Taking taylor expansion of 2.0 in alpha
8.271 * [backup-simplify]: Simplify 2.0 into 2.0
8.271 * [taylor]: Taking taylor expansion of (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2)) in alpha
8.271 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in alpha
8.271 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
8.271 * [taylor]: Taking taylor expansion of alpha in alpha
8.271 * [backup-simplify]: Simplify 0 into 0
8.271 * [backup-simplify]: Simplify 1 into 1
8.271 * [backup-simplify]: Simplify (/ 1 1) into 1
8.271 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in alpha
8.271 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
8.271 * [taylor]: Taking taylor expansion of 2.0 in alpha
8.271 * [backup-simplify]: Simplify 2.0 into 2.0
8.271 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
8.271 * [taylor]: Taking taylor expansion of i in alpha
8.271 * [backup-simplify]: Simplify i into i
8.271 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
8.271 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
8.272 * [taylor]: Taking taylor expansion of beta in alpha
8.272 * [backup-simplify]: Simplify beta into beta
8.272 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
8.272 * [taylor]: Taking taylor expansion of (pow beta 2) in alpha
8.272 * [taylor]: Taking taylor expansion of beta in alpha
8.272 * [backup-simplify]: Simplify beta into beta
8.272 * [backup-simplify]: Simplify (+ 1 0) into 1
8.272 * [backup-simplify]: Simplify (+ 1 0) into 1
8.272 * [backup-simplify]: Simplify (* beta beta) into (pow beta 2)
8.273 * [backup-simplify]: Simplify (* 1 (pow beta 2)) into (pow beta 2)
8.273 * [backup-simplify]: Simplify (* 1 (pow beta 2)) into (pow beta 2)
8.273 * [backup-simplify]: Simplify (/ 1 (pow beta 2)) into (/ 1 (pow beta 2))
8.273 * [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
8.273 * [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
8.273 * [taylor]: Taking taylor expansion of (pow alpha 2) in alpha
8.273 * [taylor]: Taking taylor expansion of alpha in alpha
8.273 * [backup-simplify]: Simplify 0 into 0
8.273 * [backup-simplify]: Simplify 1 into 1
8.273 * [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
8.273 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in alpha
8.273 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
8.273 * [taylor]: Taking taylor expansion of alpha in alpha
8.273 * [backup-simplify]: Simplify 0 into 0
8.273 * [backup-simplify]: Simplify 1 into 1
8.274 * [backup-simplify]: Simplify (/ 1 1) into 1
8.274 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in alpha
8.274 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
8.274 * [taylor]: Taking taylor expansion of 2.0 in alpha
8.274 * [backup-simplify]: Simplify 2.0 into 2.0
8.274 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
8.274 * [taylor]: Taking taylor expansion of i in alpha
8.274 * [backup-simplify]: Simplify i into i
8.274 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
8.274 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
8.274 * [taylor]: Taking taylor expansion of beta in alpha
8.274 * [backup-simplify]: Simplify beta into beta
8.274 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
8.274 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) in alpha
8.274 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
8.274 * [taylor]: Taking taylor expansion of alpha in alpha
8.274 * [backup-simplify]: Simplify 0 into 0
8.274 * [backup-simplify]: Simplify 1 into 1
8.274 * [backup-simplify]: Simplify (/ 1 1) into 1
8.274 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0)) in alpha
8.274 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
8.275 * [taylor]: Taking taylor expansion of 2.0 in alpha
8.275 * [backup-simplify]: Simplify 2.0 into 2.0
8.275 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
8.275 * [taylor]: Taking taylor expansion of i in alpha
8.275 * [backup-simplify]: Simplify i into i
8.275 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
8.275 * [taylor]: Taking taylor expansion of (+ (/ 1 beta) 2.0) in alpha
8.275 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
8.275 * [taylor]: Taking taylor expansion of beta in alpha
8.275 * [backup-simplify]: Simplify beta into beta
8.275 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
8.275 * [taylor]: Taking taylor expansion of 2.0 in alpha
8.275 * [backup-simplify]: Simplify 2.0 into 2.0
8.275 * [backup-simplify]: Simplify (* 1 1) into 1
8.276 * [backup-simplify]: Simplify (+ 1 0) into 1
8.276 * [backup-simplify]: Simplify (+ 1 0) into 1
8.276 * [backup-simplify]: Simplify (* 1 1) into 1
8.277 * [backup-simplify]: Simplify (* 1 1) into 1
8.277 * [backup-simplify]: Simplify (/ 1 1) into 1
8.277 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0
8.278 * [backup-simplify]: Simplify (- 1) into -1
8.278 * [backup-simplify]: Simplify (+ 1.0 -1) into 0
8.278 * [taylor]: Taking taylor expansion of 0 in beta
8.278 * [backup-simplify]: Simplify 0 into 0
8.278 * [taylor]: Taking taylor expansion of 0 in i
8.278 * [backup-simplify]: Simplify 0 into 0
8.278 * [backup-simplify]: Simplify 0 into 0
8.279 * [backup-simplify]: Simplify (+ 0 0) into 0
8.279 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.279 * [backup-simplify]: Simplify (* 2.0 (/ 1 i)) into (/ 2.0 i)
8.279 * [backup-simplify]: Simplify (+ (/ 1 beta) 2.0) into (+ (/ 1 beta) 2.0)
8.280 * [backup-simplify]: Simplify (+ (/ 2.0 i) (+ (/ 1 beta) 2.0)) into (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))
8.280 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) into (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))
8.280 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.281 * [backup-simplify]: Simplify (* 2.0 (/ 1 i)) into (/ 2.0 i)
8.281 * [backup-simplify]: Simplify (+ (/ 2.0 i) (/ 1 beta)) into (+ (* 2.0 (/ 1 i)) (/ 1 beta))
8.281 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 (/ 1 i)) (/ 1 beta))) into (+ (* 2.0 (/ 1 i)) (/ 1 beta))
8.281 * [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))
8.282 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.282 * [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))
8.283 * [backup-simplify]: Simplify (- (+ (* 1 (/ (+ (* 4.0 (/ 1 i)) (+ (* 2 (/ 1 beta)) 2.0)) 1)))) into (- (+ (* 4.0 (/ 1 i)) (+ (* 2 (/ 1 beta)) 2.0)))
8.283 * [backup-simplify]: Simplify (- (- (+ (* 4.0 (/ 1 i)) (+ (* 2 (/ 1 beta)) 2.0)))) into (+ (* 4.0 (/ 1 i)) (+ (* 2 (/ 1 beta)) 2.0))
8.283 * [backup-simplify]: Simplify (+ 0 (+ (* 4.0 (/ 1 i)) (+ (* 2 (/ 1 beta)) 2.0))) into (+ (* 4.0 (/ 1 i)) (+ (* 2 (/ 1 beta)) 2.0))
8.283 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 i)) (+ (* 2 (/ 1 beta)) 2.0)) in beta
8.283 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 i)) in beta
8.283 * [taylor]: Taking taylor expansion of 4.0 in beta
8.283 * [backup-simplify]: Simplify 4.0 into 4.0
8.283 * [taylor]: Taking taylor expansion of (/ 1 i) in beta
8.283 * [taylor]: Taking taylor expansion of i in beta
8.284 * [backup-simplify]: Simplify i into i
8.284 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
8.284 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 beta)) 2.0) in beta
8.284 * [taylor]: Taking taylor expansion of (* 2 (/ 1 beta)) in beta
8.284 * [taylor]: Taking taylor expansion of 2 in beta
8.284 * [backup-simplify]: Simplify 2 into 2
8.284 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
8.284 * [taylor]: Taking taylor expansion of beta in beta
8.284 * [backup-simplify]: Simplify 0 into 0
8.284 * [backup-simplify]: Simplify 1 into 1
8.284 * [backup-simplify]: Simplify (/ 1 1) into 1
8.284 * [taylor]: Taking taylor expansion of 2.0 in beta
8.284 * [backup-simplify]: Simplify 2.0 into 2.0
8.284 * [backup-simplify]: Simplify (* 4.0 (/ 1 i)) into (/ 4.0 i)
8.285 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.285 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0
8.286 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
8.286 * [backup-simplify]: Simplify (+ (/ 4.0 i) 2.0) into (+ (* 4.0 (/ 1 i)) 2.0)
8.286 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 i)) 2.0) in i
8.286 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 i)) in i
8.286 * [taylor]: Taking taylor expansion of 4.0 in i
8.286 * [backup-simplify]: Simplify 4.0 into 4.0
8.286 * [taylor]: Taking taylor expansion of (/ 1 i) in i
8.286 * [taylor]: Taking taylor expansion of i in i
8.286 * [backup-simplify]: Simplify 0 into 0
8.286 * [backup-simplify]: Simplify 1 into 1
8.286 * [backup-simplify]: Simplify (/ 1 1) into 1
8.287 * [taylor]: Taking taylor expansion of 2.0 in i
8.287 * [backup-simplify]: Simplify 2.0 into 2.0
8.287 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.288 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 1)) into 0
8.288 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
8.288 * [backup-simplify]: Simplify 2.0 into 2.0
8.288 * [taylor]: Taking taylor expansion of 0 in i
8.288 * [backup-simplify]: Simplify 0 into 0
8.288 * [backup-simplify]: Simplify 0 into 0
8.288 * [backup-simplify]: Simplify 0 into 0
8.289 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow beta 2))) into (/ 1 (pow beta 2))
8.289 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.290 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
8.290 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 (/ 1 i))) into 0
8.290 * [backup-simplify]: Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
8.290 * [backup-simplify]: Simplify (+ 0 0) into 0
8.291 * [backup-simplify]: Simplify (+ 0 0) into 0
8.291 * [backup-simplify]: Simplify (+ 0 0) into 0
8.292 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.292 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
8.293 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 (/ 1 i))) into 0
8.293 * [backup-simplify]: Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
8.293 * [backup-simplify]: Simplify (+ 0 0) into 0
8.294 * [backup-simplify]: Simplify (+ 0 0) into 0
8.295 * [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))))))
8.296 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.298 * [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))))))
8.301 * [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)))))
8.302 * [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))))))
8.304 * [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))))))
8.304 * [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
8.304 * [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
8.304 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow beta 2))) in beta
8.304 * [taylor]: Taking taylor expansion of 2 in beta
8.304 * [backup-simplify]: Simplify 2 into 2
8.305 * [taylor]: Taking taylor expansion of (/ 1 (pow beta 2)) in beta
8.305 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
8.305 * [taylor]: Taking taylor expansion of beta in beta
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
8.306 * [backup-simplify]: Simplify (/ 1 1) into 1
8.306 * [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
8.306 * [taylor]: Taking taylor expansion of (* 12.0 (/ 1 (pow i 2))) in beta
8.306 * [taylor]: Taking taylor expansion of 12.0 in beta
8.306 * [backup-simplify]: Simplify 12.0 into 12.0
8.306 * [taylor]: Taking taylor expansion of (/ 1 (pow i 2)) in beta
8.306 * [taylor]: Taking taylor expansion of (pow i 2) in beta
8.306 * [taylor]: Taking taylor expansion of i in beta
8.306 * [backup-simplify]: Simplify i into i
8.306 * [backup-simplify]: Simplify (* i i) into (pow i 2)
8.306 * [backup-simplify]: Simplify (/ 1 (pow i 2)) into (/ 1 (pow i 2))
8.306 * [taylor]: Taking taylor expansion of (+ (* 6.0 (/ 1 beta)) (+ (* 12.0 (/ 1 i)) (+ (* 12.0 (/ 1 (* i beta))) 4.0))) in beta
8.306 * [taylor]: Taking taylor expansion of (* 6.0 (/ 1 beta)) in beta
8.306 * [taylor]: Taking taylor expansion of 6.0 in beta
8.306 * [backup-simplify]: Simplify 6.0 into 6.0
8.306 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
8.306 * [taylor]: Taking taylor expansion of beta in beta
8.307 * [backup-simplify]: Simplify 0 into 0
8.307 * [backup-simplify]: Simplify 1 into 1
8.307 * [backup-simplify]: Simplify (/ 1 1) into 1
8.307 * [taylor]: Taking taylor expansion of (+ (* 12.0 (/ 1 i)) (+ (* 12.0 (/ 1 (* i beta))) 4.0)) in beta
8.307 * [taylor]: Taking taylor expansion of (* 12.0 (/ 1 i)) in beta
8.307 * [taylor]: Taking taylor expansion of 12.0 in beta
8.307 * [backup-simplify]: Simplify 12.0 into 12.0
8.307 * [taylor]: Taking taylor expansion of (/ 1 i) in beta
8.307 * [taylor]: Taking taylor expansion of i in beta
8.307 * [backup-simplify]: Simplify i into i
8.307 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
8.307 * [taylor]: Taking taylor expansion of (+ (* 12.0 (/ 1 (* i beta))) 4.0) in beta
8.307 * [taylor]: Taking taylor expansion of (* 12.0 (/ 1 (* i beta))) in beta
8.307 * [taylor]: Taking taylor expansion of 12.0 in beta
8.307 * [backup-simplify]: Simplify 12.0 into 12.0
8.307 * [taylor]: Taking taylor expansion of (/ 1 (* i beta)) in beta
8.308 * [taylor]: Taking taylor expansion of (* i beta) in beta
8.308 * [taylor]: Taking taylor expansion of i in beta
8.308 * [backup-simplify]: Simplify i into i
8.308 * [taylor]: Taking taylor expansion of beta in beta
8.308 * [backup-simplify]: Simplify 0 into 0
8.308 * [backup-simplify]: Simplify 1 into 1
8.308 * [backup-simplify]: Simplify (* i 0) into 0
8.308 * [backup-simplify]: Simplify (+ (* i 1) (* 0 0)) into i
8.308 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
8.308 * [taylor]: Taking taylor expansion of 4.0 in beta
8.308 * [backup-simplify]: Simplify 4.0 into 4.0
8.309 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.310 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.311 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.312 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.313 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0
8.313 * [backup-simplify]: Simplify (* 12.0 (/ 1 (pow i 2))) into (/ 12.0 (pow i 2))
8.314 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.314 * [backup-simplify]: Simplify (+ (* 6.0 0) (* 0 1)) into 0
8.315 * [backup-simplify]: Simplify (* 12.0 (/ 1 i)) into (/ 12.0 i)
8.315 * [backup-simplify]: Simplify (+ (* i 0) (+ (* 0 1) (* 0 0))) into 0
8.315 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
8.316 * [backup-simplify]: Simplify (+ (* 12.0 0) (* 0 (/ 1 i))) into 0
8.316 * [backup-simplify]: Simplify (+ 0 4.0) into 4.0
8.316 * [backup-simplify]: Simplify (+ (/ 12.0 i) 4.0) into (+ (* 12.0 (/ 1 i)) 4.0)
8.317 * [backup-simplify]: Simplify (+ 0 (+ (* 12.0 (/ 1 i)) 4.0)) into (+ (* 12.0 (/ 1 i)) 4.0)
8.317 * [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))
8.317 * [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))
8.318 * [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)))
8.318 * [taylor]: Taking taylor expansion of (- (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 12.0 (/ 1 i)) 4.0))) in i
8.318 * [taylor]: Taking taylor expansion of (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 12.0 (/ 1 i)) 4.0)) in i
8.318 * [taylor]: Taking taylor expansion of (* 12.0 (/ 1 (pow i 2))) in i
8.318 * [taylor]: Taking taylor expansion of 12.0 in i
8.318 * [backup-simplify]: Simplify 12.0 into 12.0
8.318 * [taylor]: Taking taylor expansion of (/ 1 (pow i 2)) in i
8.318 * [taylor]: Taking taylor expansion of (pow i 2) in i
8.318 * [taylor]: Taking taylor expansion of i in i
8.318 * [backup-simplify]: Simplify 0 into 0
8.318 * [backup-simplify]: Simplify 1 into 1
8.319 * [backup-simplify]: Simplify (* 1 1) into 1
8.319 * [backup-simplify]: Simplify (/ 1 1) into 1
8.319 * [taylor]: Taking taylor expansion of (+ (* 12.0 (/ 1 i)) 4.0) in i
8.320 * [taylor]: Taking taylor expansion of (* 12.0 (/ 1 i)) in i
8.320 * [taylor]: Taking taylor expansion of 12.0 in i
8.320 * [backup-simplify]: Simplify 12.0 into 12.0
8.320 * [taylor]: Taking taylor expansion of (/ 1 i) in i
8.320 * [taylor]: Taking taylor expansion of i in i
8.320 * [backup-simplify]: Simplify 0 into 0
8.320 * [backup-simplify]: Simplify 1 into 1
8.320 * [backup-simplify]: Simplify (/ 1 1) into 1
8.320 * [taylor]: Taking taylor expansion of 4.0 in i
8.320 * [backup-simplify]: Simplify 4.0 into 4.0
8.321 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.322 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.323 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.324 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.325 * [backup-simplify]: Simplify (+ (* 12.0 0) (+ (* 0 0) (* 0 1))) into 0
8.326 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.326 * [backup-simplify]: Simplify (+ (* 12.0 0) (* 0 1)) into 0
8.327 * [backup-simplify]: Simplify (+ 0 4.0) into 4.0
8.333 * [backup-simplify]: Simplify (+ 0 4.0) into 4.0
8.334 * [backup-simplify]: Simplify (- 4.0) into (- 4.0)
8.335 * [backup-simplify]: Simplify (- 4.0) into (- 4.0)
8.335 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
8.335 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 i))) into 0
8.336 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.338 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0
8.338 * [backup-simplify]: Simplify (+ 0 0) into 0
8.338 * [backup-simplify]: Simplify (+ 0 0) into 0
8.338 * [taylor]: Taking taylor expansion of 0 in i
8.338 * [backup-simplify]: Simplify 0 into 0
8.338 * [backup-simplify]: Simplify 0 into 0
8.338 * [taylor]: Taking taylor expansion of 0 in i
8.339 * [backup-simplify]: Simplify 0 into 0
8.339 * [backup-simplify]: Simplify 0 into 0
8.339 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.340 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 1))) into 0
8.340 * [backup-simplify]: Simplify (+ 0 0) into 0
8.340 * [backup-simplify]: Simplify 0 into 0
8.340 * [backup-simplify]: Simplify 0 into 0
8.340 * [backup-simplify]: Simplify 0 into 0
8.340 * [backup-simplify]: Simplify (+ (* beta 0) (* 0 beta)) into 0
8.341 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.341 * [backup-simplify]: Simplify (* 2.0 (/ 1 i)) into (/ 2.0 i)
8.341 * [backup-simplify]: Simplify (+ (/ 2.0 i) (/ 1 beta)) into (+ (* 2.0 (/ 1 i)) (/ 1 beta))
8.341 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 (/ 1 i)) (/ 1 beta))) into (+ (* 2.0 (/ 1 i)) (/ 1 beta))
8.342 * [backup-simplify]: Simplify (+ (* 1 0) (* (+ (* 2.0 (/ 1 i)) (/ 1 beta)) (pow beta 2))) into (+ (* 2.0 (/ (pow beta 2) i)) beta)
8.342 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.342 * [backup-simplify]: Simplify (* 2.0 (/ 1 i)) into (/ 2.0 i)
8.342 * [backup-simplify]: Simplify (+ (/ 1 beta) 2.0) into (+ (/ 1 beta) 2.0)
8.342 * [backup-simplify]: Simplify (+ (/ 2.0 i) (+ (/ 1 beta) 2.0)) into (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))
8.342 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) into (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))
8.343 * [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)))
8.344 * [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))))))
8.344 * [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))))))
8.345 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.345 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)) (* 0 (/ 0 i)))) into 0
8.345 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 (/ 1 i)))) into 0
8.346 * [backup-simplify]: Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
8.346 * [backup-simplify]: Simplify (+ 0 0) into 0
8.346 * [backup-simplify]: Simplify (+ 0 0) into 0
8.346 * [backup-simplify]: Simplify (+ 0 0) into 0
8.347 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.347 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)) (* 0 (/ 0 i)))) into 0
8.347 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 (/ 1 i)))) into 0
8.347 * [backup-simplify]: Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
8.348 * [backup-simplify]: Simplify (+ 0 0) into 0
8.348 * [backup-simplify]: Simplify (+ 0 0) into 0
8.349 * [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
8.349 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
8.350 * [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
8.353 * [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)))))))))))))
8.355 * [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)))))))))
8.358 * [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))))))))))))
8.358 * [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
8.358 * [taylor]: Taking taylor expansion of (* 20.0 (/ 1 (* i (pow beta 2)))) in beta
8.358 * [taylor]: Taking taylor expansion of 20.0 in beta
8.358 * [backup-simplify]: Simplify 20.0 into 20.0
8.358 * [taylor]: Taking taylor expansion of (/ 1 (* i (pow beta 2))) in beta
8.358 * [taylor]: Taking taylor expansion of (* i (pow beta 2)) in beta
8.358 * [taylor]: Taking taylor expansion of i in beta
8.358 * [backup-simplify]: Simplify i into i
8.358 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
8.358 * [taylor]: Taking taylor expansion of beta in beta
8.358 * [backup-simplify]: Simplify 0 into 0
8.358 * [backup-simplify]: Simplify 1 into 1
8.358 * [backup-simplify]: Simplify (* 1 1) into 1
8.358 * [backup-simplify]: Simplify (* i 1) into i
8.358 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
8.358 * [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
8.358 * [taylor]: Taking taylor expansion of (* 48.0 (/ 1 (pow i 2))) in beta
8.358 * [taylor]: Taking taylor expansion of 48.0 in beta
8.358 * [backup-simplify]: Simplify 48.0 into 48.0
8.358 * [taylor]: Taking taylor expansion of (/ 1 (pow i 2)) in beta
8.358 * [taylor]: Taking taylor expansion of (pow i 2) in beta
8.359 * [taylor]: Taking taylor expansion of i in beta
8.359 * [backup-simplify]: Simplify i into i
8.359 * [backup-simplify]: Simplify (* i i) into (pow i 2)
8.359 * [backup-simplify]: Simplify (/ 1 (pow i 2)) into (/ 1 (pow i 2))
8.359 * [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
8.359 * [taylor]: Taking taylor expansion of 8.0 in beta
8.359 * [backup-simplify]: Simplify 8.0 into 8.0
8.359 * [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
8.359 * [taylor]: Taking taylor expansion of (* 10.0 (/ 1 (pow beta 2))) in beta
8.359 * [taylor]: Taking taylor expansion of 10.0 in beta
8.359 * [backup-simplify]: Simplify 10.0 into 10.0
8.359 * [taylor]: Taking taylor expansion of (/ 1 (pow beta 2)) in beta
8.359 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
8.359 * [taylor]: Taking taylor expansion of beta in beta
8.359 * [backup-simplify]: Simplify 0 into 0
8.359 * [backup-simplify]: Simplify 1 into 1
8.359 * [backup-simplify]: Simplify (* 1 1) into 1
8.359 * [backup-simplify]: Simplify (/ 1 1) into 1
8.359 * [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
8.359 * [taylor]: Taking taylor expansion of (* 48.0 (/ 1 (* i beta))) in beta
8.359 * [taylor]: Taking taylor expansion of 48.0 in beta
8.360 * [backup-simplify]: Simplify 48.0 into 48.0
8.360 * [taylor]: Taking taylor expansion of (/ 1 (* i beta)) in beta
8.360 * [taylor]: Taking taylor expansion of (* i beta) in beta
8.360 * [taylor]: Taking taylor expansion of i in beta
8.360 * [backup-simplify]: Simplify i into i
8.360 * [taylor]: Taking taylor expansion of beta in beta
8.360 * [backup-simplify]: Simplify 0 into 0
8.360 * [backup-simplify]: Simplify 1 into 1
8.360 * [backup-simplify]: Simplify (* i 0) into 0
8.360 * [backup-simplify]: Simplify (+ (* i 1) (* 0 0)) into i
8.360 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
8.360 * [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
8.360 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow beta 3))) in beta
8.360 * [taylor]: Taking taylor expansion of 2 in beta
8.360 * [backup-simplify]: Simplify 2 into 2
8.360 * [taylor]: Taking taylor expansion of (/ 1 (pow beta 3)) in beta
8.360 * [taylor]: Taking taylor expansion of (pow beta 3) in beta
8.360 * [taylor]: Taking taylor expansion of beta in beta
8.360 * [backup-simplify]: Simplify 0 into 0
8.360 * [backup-simplify]: Simplify 1 into 1
8.360 * [backup-simplify]: Simplify (* 1 1) into 1
8.361 * [backup-simplify]: Simplify (* 1 1) into 1
8.361 * [backup-simplify]: Simplify (/ 1 1) into 1
8.361 * [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
8.361 * [taylor]: Taking taylor expansion of (* 48.0 (/ 1 (* (pow i 2) beta))) in beta
8.361 * [taylor]: Taking taylor expansion of 48.0 in beta
8.361 * [backup-simplify]: Simplify 48.0 into 48.0
8.361 * [taylor]: Taking taylor expansion of (/ 1 (* (pow i 2) beta)) in beta
8.361 * [taylor]: Taking taylor expansion of (* (pow i 2) beta) in beta
8.361 * [taylor]: Taking taylor expansion of (pow i 2) in beta
8.361 * [taylor]: Taking taylor expansion of i in beta
8.361 * [backup-simplify]: Simplify i into i
8.361 * [taylor]: Taking taylor expansion of beta in beta
8.361 * [backup-simplify]: Simplify 0 into 0
8.361 * [backup-simplify]: Simplify 1 into 1
8.361 * [backup-simplify]: Simplify (* i i) into (pow i 2)
8.361 * [backup-simplify]: Simplify (* (pow i 2) 0) into 0
8.361 * [backup-simplify]: Simplify (+ (* i 0) (* 0 i)) into 0
8.362 * [backup-simplify]: Simplify (+ (* (pow i 2) 1) (* 0 0)) into (pow i 2)
8.362 * [backup-simplify]: Simplify (/ 1 (pow i 2)) into (/ 1 (pow i 2))
8.362 * [taylor]: Taking taylor expansion of (+ (* 32.0 (/ 1 i)) (+ (* 16.0 (/ 1 beta)) (* 32.0 (/ 1 (pow i 3))))) in beta
8.362 * [taylor]: Taking taylor expansion of (* 32.0 (/ 1 i)) in beta
8.362 * [taylor]: Taking taylor expansion of 32.0 in beta
8.362 * [backup-simplify]: Simplify 32.0 into 32.0
8.362 * [taylor]: Taking taylor expansion of (/ 1 i) in beta
8.362 * [taylor]: Taking taylor expansion of i in beta
8.362 * [backup-simplify]: Simplify i into i
8.362 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
8.362 * [taylor]: Taking taylor expansion of (+ (* 16.0 (/ 1 beta)) (* 32.0 (/ 1 (pow i 3)))) in beta
8.362 * [taylor]: Taking taylor expansion of (* 16.0 (/ 1 beta)) in beta
8.362 * [taylor]: Taking taylor expansion of 16.0 in beta
8.362 * [backup-simplify]: Simplify 16.0 into 16.0
8.362 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
8.362 * [taylor]: Taking taylor expansion of beta in beta
8.362 * [backup-simplify]: Simplify 0 into 0
8.362 * [backup-simplify]: Simplify 1 into 1
8.362 * [backup-simplify]: Simplify (/ 1 1) into 1
8.362 * [taylor]: Taking taylor expansion of (* 32.0 (/ 1 (pow i 3))) in beta
8.362 * [taylor]: Taking taylor expansion of 32.0 in beta
8.362 * [backup-simplify]: Simplify 32.0 into 32.0
8.362 * [taylor]: Taking taylor expansion of (/ 1 (pow i 3)) in beta
8.362 * [taylor]: Taking taylor expansion of (pow i 3) in beta
8.362 * [taylor]: Taking taylor expansion of i in beta
8.362 * [backup-simplify]: Simplify i into i
8.362 * [backup-simplify]: Simplify (* i i) into (pow i 2)
8.362 * [backup-simplify]: Simplify (* i (pow i 2)) into (pow i 3)
8.363 * [backup-simplify]: Simplify (/ 1 (pow i 3)) into (/ 1 (pow i 3))
8.363 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.363 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.364 * [backup-simplify]: Simplify (+ (* i 0) (+ (* 0 0) (* 0 1))) into 0
8.364 * [backup-simplify]: Simplify (+ (* i 0) (* 0 1)) into 0
8.364 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
8.364 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)) (* 0 (/ 0 i)))) into 0
8.365 * [backup-simplify]: Simplify (+ (* 20.0 0) (+ (* 0 0) (* 0 (/ 1 i)))) into 0
8.365 * [backup-simplify]: Simplify (* 48.0 (/ 1 (pow i 2))) into (/ 48.0 (pow i 2))
8.366 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.366 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.366 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.367 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.367 * [backup-simplify]: Simplify (+ (* 10.0 0) (+ (* 0 0) (* 0 1))) into 0
8.368 * [backup-simplify]: Simplify (+ (* i 0) (+ (* 0 1) (* 0 0))) into 0
8.368 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
8.368 * [backup-simplify]: Simplify (+ (* 48.0 0) (* 0 (/ 1 i))) into 0
8.369 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
8.369 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.370 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.370 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
8.371 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.371 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.372 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.372 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.373 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.373 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
8.373 * [backup-simplify]: Simplify (+ (* i 0) (+ (* 0 0) (* 0 i))) into 0
8.374 * [backup-simplify]: Simplify (+ (* (pow i 2) 0) (+ (* 0 1) (* 0 0))) into 0
8.374 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow i 2)) (/ 0 (pow i 2))))) into 0
8.375 * [backup-simplify]: Simplify (+ (* 48.0 0) (* 0 (/ 1 (pow i 2)))) into 0
8.375 * [backup-simplify]: Simplify (* 32.0 (/ 1 i)) into (/ 32.0 i)
8.375 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.375 * [backup-simplify]: Simplify (+ (* 16.0 0) (* 0 1)) into 0
8.376 * [backup-simplify]: Simplify (* 32.0 (/ 1 (pow i 3))) into (/ 32.0 (pow i 3))
8.376 * [backup-simplify]: Simplify (+ 0 (/ 32.0 (pow i 3))) into (* 32.0 (/ 1 (pow i 3)))
8.376 * [backup-simplify]: Simplify (+ (/ 32.0 i) (* 32.0 (/ 1 (pow i 3)))) into (+ (* 32.0 (/ 1 i)) (* 32.0 (/ 1 (pow i 3))))
8.376 * [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)))
8.376 * [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)))
8.376 * [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)))
8.377 * [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)))
8.377 * [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))
8.377 * [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)))
8.378 * [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)))
8.378 * [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
8.378 * [taylor]: Taking taylor expansion of (* 48.0 (/ 1 (pow i 2))) in i
8.378 * [taylor]: Taking taylor expansion of 48.0 in i
8.378 * [backup-simplify]: Simplify 48.0 into 48.0
8.378 * [taylor]: Taking taylor expansion of (/ 1 (pow i 2)) in i
8.378 * [taylor]: Taking taylor expansion of (pow i 2) in i
8.378 * [taylor]: Taking taylor expansion of i in i
8.378 * [backup-simplify]: Simplify 0 into 0
8.378 * [backup-simplify]: Simplify 1 into 1
8.378 * [backup-simplify]: Simplify (* 1 1) into 1
8.378 * [backup-simplify]: Simplify (/ 1 1) into 1
8.378 * [taylor]: Taking taylor expansion of (+ (* 32.0 (/ 1 (pow i 3))) (+ (* 32.0 (/ 1 i)) 8.0)) in i
8.378 * [taylor]: Taking taylor expansion of (* 32.0 (/ 1 (pow i 3))) in i
8.378 * [taylor]: Taking taylor expansion of 32.0 in i
8.378 * [backup-simplify]: Simplify 32.0 into 32.0
8.378 * [taylor]: Taking taylor expansion of (/ 1 (pow i 3)) in i
8.378 * [taylor]: Taking taylor expansion of (pow i 3) in i
8.378 * [taylor]: Taking taylor expansion of i in i
8.378 * [backup-simplify]: Simplify 0 into 0
8.378 * [backup-simplify]: Simplify 1 into 1
8.379 * [backup-simplify]: Simplify (* 1 1) into 1
8.379 * [backup-simplify]: Simplify (* 1 1) into 1
8.379 * [backup-simplify]: Simplify (/ 1 1) into 1
8.380 * [taylor]: Taking taylor expansion of (+ (* 32.0 (/ 1 i)) 8.0) in i
8.380 * [taylor]: Taking taylor expansion of (* 32.0 (/ 1 i)) in i
8.380 * [taylor]: Taking taylor expansion of 32.0 in i
8.380 * [backup-simplify]: Simplify 32.0 into 32.0
8.380 * [taylor]: Taking taylor expansion of (/ 1 i) in i
8.380 * [taylor]: Taking taylor expansion of i in i
8.380 * [backup-simplify]: Simplify 0 into 0
8.380 * [backup-simplify]: Simplify 1 into 1
8.380 * [backup-simplify]: Simplify (/ 1 1) into 1
8.380 * [taylor]: Taking taylor expansion of 8.0 in i
8.380 * [backup-simplify]: Simplify 8.0 into 8.0
8.381 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.382 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.382 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.383 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.384 * [backup-simplify]: Simplify (+ (* 48.0 0) (+ (* 0 0) (* 0 1))) into 0
8.385 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
8.386 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.387 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.388 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
8.388 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.389 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.390 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.391 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.392 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.393 * [backup-simplify]: Simplify (+ (* 32.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
8.394 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.394 * [backup-simplify]: Simplify (+ (* 32.0 0) (* 0 1)) into 0
8.395 * [backup-simplify]: Simplify (+ 0 8.0) into 8.0
8.395 * [backup-simplify]: Simplify (+ 0 8.0) into 8.0
8.396 * [backup-simplify]: Simplify (+ 0 8.0) into 8.0
8.396 * [backup-simplify]: Simplify 8.0 into 8.0
8.397 * [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))))
8.399 * [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)))))
8.399 * [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
8.399 * [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
8.399 * [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
8.399 * [taylor]: Taking taylor expansion of 1.0 in i
8.399 * [backup-simplify]: Simplify 1.0 into 1.0
8.399 * [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
8.399 * [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
8.399 * [taylor]: Taking taylor expansion of (pow alpha 2) in i
8.399 * [taylor]: Taking taylor expansion of alpha in i
8.399 * [backup-simplify]: Simplify alpha into alpha
8.399 * [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
8.399 * [taylor]: Taking taylor expansion of (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) in i
8.399 * [taylor]: Taking taylor expansion of 2.0 in i
8.399 * [backup-simplify]: Simplify 2.0 into 2.0
8.399 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in i
8.399 * [taylor]: Taking taylor expansion of (/ 1 alpha) in i
8.399 * [taylor]: Taking taylor expansion of alpha in i
8.399 * [backup-simplify]: Simplify alpha into alpha
8.399 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
8.399 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in i
8.399 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in i
8.399 * [taylor]: Taking taylor expansion of 2.0 in i
8.399 * [backup-simplify]: Simplify 2.0 into 2.0
8.400 * [taylor]: Taking taylor expansion of (/ 1 i) in i
8.400 * [taylor]: Taking taylor expansion of i in i
8.400 * [backup-simplify]: Simplify 0 into 0
8.400 * [backup-simplify]: Simplify 1 into 1
8.400 * [backup-simplify]: Simplify (/ 1 1) into 1
8.400 * [taylor]: Taking taylor expansion of (/ 1 beta) in i
8.400 * [taylor]: Taking taylor expansion of beta in i
8.400 * [backup-simplify]: Simplify beta into beta
8.400 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
8.400 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in i
8.400 * [taylor]: Taking taylor expansion of (/ 1 alpha) in i
8.400 * [taylor]: Taking taylor expansion of alpha in i
8.400 * [backup-simplify]: Simplify alpha into alpha
8.400 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
8.400 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in i
8.401 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in i
8.401 * [taylor]: Taking taylor expansion of 2.0 in i
8.401 * [backup-simplify]: Simplify 2.0 into 2.0
8.401 * [taylor]: Taking taylor expansion of (/ 1 i) in i
8.401 * [taylor]: Taking taylor expansion of i in i
8.401 * [backup-simplify]: Simplify 0 into 0
8.401 * [backup-simplify]: Simplify 1 into 1
8.401 * [backup-simplify]: Simplify (/ 1 1) into 1
8.401 * [taylor]: Taking taylor expansion of (/ 1 beta) in i
8.401 * [taylor]: Taking taylor expansion of beta in i
8.401 * [backup-simplify]: Simplify beta into beta
8.401 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
8.401 * [backup-simplify]: Simplify (* alpha alpha) into (pow alpha 2)
8.402 * [backup-simplify]: Simplify (* 2.0 1) into 2.0
8.402 * [backup-simplify]: Simplify (+ 2.0 0) into 2.0
8.403 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
8.403 * [backup-simplify]: Simplify (- 2.0) into (- 2.0)
8.404 * [backup-simplify]: Simplify (+ 0 (- 2.0)) into (- 2.0)
8.404 * [backup-simplify]: Simplify (* 2.0 1) into 2.0
8.405 * [backup-simplify]: Simplify (+ 2.0 0) into 2.0
8.405 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
8.406 * [backup-simplify]: Simplify (* (- 2.0) 2.0) into -4.0
8.406 * [backup-simplify]: Simplify (* (pow alpha 2) -4.0) into (* -4.0 (pow alpha 2))
8.407 * [backup-simplify]: Simplify (/ 1 (* -4.0 (pow alpha 2))) into (/ -0.25 (pow alpha 2))
8.407 * [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
8.407 * [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
8.407 * [taylor]: Taking taylor expansion of (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) in i
8.407 * [taylor]: Taking taylor expansion of 2.0 in i
8.407 * [backup-simplify]: Simplify 2.0 into 2.0
8.407 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in i
8.407 * [taylor]: Taking taylor expansion of (/ 1 alpha) in i
8.407 * [taylor]: Taking taylor expansion of alpha in i
8.407 * [backup-simplify]: Simplify alpha into alpha
8.407 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
8.407 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in i
8.407 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in i
8.407 * [taylor]: Taking taylor expansion of 2.0 in i
8.407 * [backup-simplify]: Simplify 2.0 into 2.0
8.407 * [taylor]: Taking taylor expansion of (/ 1 i) in i
8.407 * [taylor]: Taking taylor expansion of i in i
8.407 * [backup-simplify]: Simplify 0 into 0
8.407 * [backup-simplify]: Simplify 1 into 1
8.408 * [backup-simplify]: Simplify (/ 1 1) into 1
8.408 * [taylor]: Taking taylor expansion of (/ 1 beta) in i
8.408 * [taylor]: Taking taylor expansion of beta in i
8.408 * [backup-simplify]: Simplify beta into beta
8.408 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
8.408 * [taylor]: Taking taylor expansion of (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2)) in i
8.408 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in i
8.408 * [taylor]: Taking taylor expansion of (/ 1 alpha) in i
8.408 * [taylor]: Taking taylor expansion of alpha in i
8.408 * [backup-simplify]: Simplify alpha into alpha
8.408 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
8.408 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in i
8.408 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in i
8.408 * [taylor]: Taking taylor expansion of 2.0 in i
8.408 * [backup-simplify]: Simplify 2.0 into 2.0
8.408 * [taylor]: Taking taylor expansion of (/ 1 i) in i
8.408 * [taylor]: Taking taylor expansion of i in i
8.408 * [backup-simplify]: Simplify 0 into 0
8.408 * [backup-simplify]: Simplify 1 into 1
8.409 * [backup-simplify]: Simplify (/ 1 1) into 1
8.409 * [taylor]: Taking taylor expansion of (/ 1 beta) in i
8.409 * [taylor]: Taking taylor expansion of beta in i
8.409 * [backup-simplify]: Simplify beta into beta
8.409 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
8.409 * [taylor]: Taking taylor expansion of (pow beta 2) in i
8.409 * [taylor]: Taking taylor expansion of beta in i
8.409 * [backup-simplify]: Simplify beta into beta
8.410 * [backup-simplify]: Simplify (* 2.0 1) into 2.0
8.410 * [backup-simplify]: Simplify (+ 2.0 0) into 2.0
8.411 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
8.411 * [backup-simplify]: Simplify (- 2.0) into (- 2.0)
8.412 * [backup-simplify]: Simplify (+ 0 (- 2.0)) into (- 2.0)
8.412 * [backup-simplify]: Simplify (* 2.0 1) into 2.0
8.413 * [backup-simplify]: Simplify (+ 2.0 0) into 2.0
8.413 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
8.413 * [backup-simplify]: Simplify (* beta beta) into (pow beta 2)
8.414 * [backup-simplify]: Simplify (* 2.0 (pow beta 2)) into (* 2.0 (pow beta 2))
8.414 * [backup-simplify]: Simplify (* (- 2.0) (* 2.0 (pow beta 2))) into (* -4.0 (pow beta 2))
8.414 * [backup-simplify]: Simplify (/ 1 (* -4.0 (pow beta 2))) into (/ -0.25 (pow beta 2))
8.414 * [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
8.414 * [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
8.414 * [taylor]: Taking taylor expansion of 1.0 in beta
8.415 * [backup-simplify]: Simplify 1.0 into 1.0
8.415 * [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
8.415 * [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
8.415 * [taylor]: Taking taylor expansion of (pow alpha 2) in beta
8.415 * [taylor]: Taking taylor expansion of alpha in beta
8.415 * [backup-simplify]: Simplify alpha into alpha
8.415 * [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
8.415 * [taylor]: Taking taylor expansion of (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) in beta
8.415 * [taylor]: Taking taylor expansion of 2.0 in beta
8.415 * [backup-simplify]: Simplify 2.0 into 2.0
8.415 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in beta
8.415 * [taylor]: Taking taylor expansion of (/ 1 alpha) in beta
8.415 * [taylor]: Taking taylor expansion of alpha in beta
8.415 * [backup-simplify]: Simplify alpha into alpha
8.415 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
8.415 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in beta
8.415 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in beta
8.415 * [taylor]: Taking taylor expansion of 2.0 in beta
8.415 * [backup-simplify]: Simplify 2.0 into 2.0
8.415 * [taylor]: Taking taylor expansion of (/ 1 i) in beta
8.415 * [taylor]: Taking taylor expansion of i in beta
8.415 * [backup-simplify]: Simplify i into i
8.415 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
8.415 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
8.415 * [taylor]: Taking taylor expansion of beta in beta
8.415 * [backup-simplify]: Simplify 0 into 0
8.415 * [backup-simplify]: Simplify 1 into 1
8.416 * [backup-simplify]: Simplify (/ 1 1) into 1
8.416 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in beta
8.416 * [taylor]: Taking taylor expansion of (/ 1 alpha) in beta
8.416 * [taylor]: Taking taylor expansion of alpha in beta
8.416 * [backup-simplify]: Simplify alpha into alpha
8.416 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
8.416 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in beta
8.416 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in beta
8.416 * [taylor]: Taking taylor expansion of 2.0 in beta
8.416 * [backup-simplify]: Simplify 2.0 into 2.0
8.416 * [taylor]: Taking taylor expansion of (/ 1 i) in beta
8.416 * [taylor]: Taking taylor expansion of i in beta
8.416 * [backup-simplify]: Simplify i into i
8.416 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
8.416 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
8.416 * [taylor]: Taking taylor expansion of beta in beta
8.416 * [backup-simplify]: Simplify 0 into 0
8.416 * [backup-simplify]: Simplify 1 into 1
8.417 * [backup-simplify]: Simplify (/ 1 1) into 1
8.417 * [backup-simplify]: Simplify (* alpha alpha) into (pow alpha 2)
8.417 * [backup-simplify]: Simplify (+ 0 1) into 1
8.418 * [backup-simplify]: Simplify (+ 0 1) into 1
8.418 * [backup-simplify]: Simplify (- 1) into -1
8.419 * [backup-simplify]: Simplify (+ 0 -1) into -1
8.419 * [backup-simplify]: Simplify (+ 0 1) into 1
8.419 * [backup-simplify]: Simplify (+ 0 1) into 1
8.420 * [backup-simplify]: Simplify (* -1 1) into -1
8.420 * [backup-simplify]: Simplify (* (pow alpha 2) -1) into (* -1 (pow alpha 2))
8.420 * [backup-simplify]: Simplify (/ 1 (* -1 (pow alpha 2))) into (/ -1 (pow alpha 2))
8.420 * [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
8.420 * [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
8.420 * [taylor]: Taking taylor expansion of (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) in beta
8.420 * [taylor]: Taking taylor expansion of 2.0 in beta
8.420 * [backup-simplify]: Simplify 2.0 into 2.0
8.420 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in beta
8.420 * [taylor]: Taking taylor expansion of (/ 1 alpha) in beta
8.421 * [taylor]: Taking taylor expansion of alpha in beta
8.421 * [backup-simplify]: Simplify alpha into alpha
8.421 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
8.421 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in beta
8.421 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in beta
8.421 * [taylor]: Taking taylor expansion of 2.0 in beta
8.421 * [backup-simplify]: Simplify 2.0 into 2.0
8.421 * [taylor]: Taking taylor expansion of (/ 1 i) in beta
8.421 * [taylor]: Taking taylor expansion of i in beta
8.421 * [backup-simplify]: Simplify i into i
8.421 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
8.421 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
8.421 * [taylor]: Taking taylor expansion of beta in beta
8.421 * [backup-simplify]: Simplify 0 into 0
8.421 * [backup-simplify]: Simplify 1 into 1
8.421 * [backup-simplify]: Simplify (/ 1 1) into 1
8.421 * [taylor]: Taking taylor expansion of (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2)) in beta
8.422 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in beta
8.422 * [taylor]: Taking taylor expansion of (/ 1 alpha) in beta
8.422 * [taylor]: Taking taylor expansion of alpha in beta
8.422 * [backup-simplify]: Simplify alpha into alpha
8.422 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
8.422 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in beta
8.422 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in beta
8.422 * [taylor]: Taking taylor expansion of 2.0 in beta
8.422 * [backup-simplify]: Simplify 2.0 into 2.0
8.422 * [taylor]: Taking taylor expansion of (/ 1 i) in beta
8.422 * [taylor]: Taking taylor expansion of i in beta
8.422 * [backup-simplify]: Simplify i into i
8.422 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
8.422 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
8.422 * [taylor]: Taking taylor expansion of beta in beta
8.422 * [backup-simplify]: Simplify 0 into 0
8.422 * [backup-simplify]: Simplify 1 into 1
8.423 * [backup-simplify]: Simplify (/ 1 1) into 1
8.423 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
8.423 * [taylor]: Taking taylor expansion of beta in beta
8.423 * [backup-simplify]: Simplify 0 into 0
8.423 * [backup-simplify]: Simplify 1 into 1
8.423 * [backup-simplify]: Simplify (+ 0 1) into 1
8.423 * [backup-simplify]: Simplify (+ 0 1) into 1
8.424 * [backup-simplify]: Simplify (- 1) into -1
8.424 * [backup-simplify]: Simplify (+ 0 -1) into -1
8.425 * [backup-simplify]: Simplify (+ 0 1) into 1
8.425 * [backup-simplify]: Simplify (+ 0 1) into 1
8.425 * [backup-simplify]: Simplify (* 1 1) into 1
8.426 * [backup-simplify]: Simplify (* 1 1) into 1
8.426 * [backup-simplify]: Simplify (* -1 1) into -1
8.427 * [backup-simplify]: Simplify (/ 1 -1) into -1
8.427 * [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
8.427 * [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
8.427 * [taylor]: Taking taylor expansion of 1.0 in alpha
8.427 * [backup-simplify]: Simplify 1.0 into 1.0
8.427 * [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
8.427 * [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
8.427 * [taylor]: Taking taylor expansion of (pow alpha 2) in alpha
8.427 * [taylor]: Taking taylor expansion of alpha in alpha
8.427 * [backup-simplify]: Simplify 0 into 0
8.427 * [backup-simplify]: Simplify 1 into 1
8.427 * [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
8.427 * [taylor]: Taking taylor expansion of (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) in alpha
8.427 * [taylor]: Taking taylor expansion of 2.0 in alpha
8.427 * [backup-simplify]: Simplify 2.0 into 2.0
8.427 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in alpha
8.427 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
8.427 * [taylor]: Taking taylor expansion of alpha in alpha
8.427 * [backup-simplify]: Simplify 0 into 0
8.427 * [backup-simplify]: Simplify 1 into 1
8.428 * [backup-simplify]: Simplify (/ 1 1) into 1
8.428 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in alpha
8.428 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
8.428 * [taylor]: Taking taylor expansion of 2.0 in alpha
8.428 * [backup-simplify]: Simplify 2.0 into 2.0
8.428 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
8.428 * [taylor]: Taking taylor expansion of i in alpha
8.428 * [backup-simplify]: Simplify i into i
8.428 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
8.428 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
8.428 * [taylor]: Taking taylor expansion of beta in alpha
8.428 * [backup-simplify]: Simplify beta into beta
8.428 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
8.428 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in alpha
8.428 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
8.428 * [taylor]: Taking taylor expansion of alpha in alpha
8.428 * [backup-simplify]: Simplify 0 into 0
8.428 * [backup-simplify]: Simplify 1 into 1
8.429 * [backup-simplify]: Simplify (/ 1 1) into 1
8.429 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in alpha
8.429 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
8.429 * [taylor]: Taking taylor expansion of 2.0 in alpha
8.429 * [backup-simplify]: Simplify 2.0 into 2.0
8.429 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
8.429 * [taylor]: Taking taylor expansion of i in alpha
8.429 * [backup-simplify]: Simplify i into i
8.429 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
8.429 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
8.430 * [taylor]: Taking taylor expansion of beta in alpha
8.430 * [backup-simplify]: Simplify beta into beta
8.430 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
8.430 * [backup-simplify]: Simplify (* 1 1) into 1
8.430 * [backup-simplify]: Simplify (+ 1 0) into 1
8.431 * [backup-simplify]: Simplify (- 1) into -1
8.431 * [backup-simplify]: Simplify (+ 0 -1) into -1
8.432 * [backup-simplify]: Simplify (+ 1 0) into 1
8.432 * [backup-simplify]: Simplify (* -1 1) into -1
8.432 * [backup-simplify]: Simplify (* 1 -1) into -1
8.433 * [backup-simplify]: Simplify (/ 1 -1) into -1
8.433 * [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
8.433 * [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
8.433 * [taylor]: Taking taylor expansion of (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) in alpha
8.433 * [taylor]: Taking taylor expansion of 2.0 in alpha
8.433 * [backup-simplify]: Simplify 2.0 into 2.0
8.433 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in alpha
8.433 * [taylor]: Taking taylor expansion of (/ 1 alpha) 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
8.434 * [backup-simplify]: Simplify (/ 1 1) into 1
8.434 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in alpha
8.434 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 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 (/ 1 i) in alpha
8.434 * [taylor]: Taking taylor expansion of i in alpha
8.434 * [backup-simplify]: Simplify i into i
8.434 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
8.434 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
8.434 * [taylor]: Taking taylor expansion of beta in alpha
8.434 * [backup-simplify]: Simplify beta into beta
8.434 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
8.434 * [taylor]: Taking taylor expansion of (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2)) in alpha
8.434 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in alpha
8.434 * [taylor]: Taking taylor expansion of (/ 1 alpha) 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
8.435 * [backup-simplify]: Simplify (/ 1 1) into 1
8.435 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in alpha
8.435 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
8.435 * [taylor]: Taking taylor expansion of 2.0 in alpha
8.435 * [backup-simplify]: Simplify 2.0 into 2.0
8.435 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
8.435 * [taylor]: Taking taylor expansion of i in alpha
8.435 * [backup-simplify]: Simplify i into i
8.435 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
8.435 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
8.435 * [taylor]: Taking taylor expansion of beta in alpha
8.435 * [backup-simplify]: Simplify beta into beta
8.435 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
8.435 * [taylor]: Taking taylor expansion of (pow beta 2) in alpha
8.435 * [taylor]: Taking taylor expansion of beta in alpha
8.435 * [backup-simplify]: Simplify beta into beta
8.436 * [backup-simplify]: Simplify (+ 1 0) into 1
8.436 * [backup-simplify]: Simplify (- 1) into -1
8.437 * [backup-simplify]: Simplify (+ 0 -1) into -1
8.437 * [backup-simplify]: Simplify (+ 1 0) into 1
8.437 * [backup-simplify]: Simplify (* beta beta) into (pow beta 2)
8.437 * [backup-simplify]: Simplify (* 1 (pow beta 2)) into (pow beta 2)
8.438 * [backup-simplify]: Simplify (* -1 (pow beta 2)) into (* -1 (pow beta 2))
8.438 * [backup-simplify]: Simplify (/ 1 (* -1 (pow beta 2))) into (/ -1 (pow beta 2))
8.438 * [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
8.438 * [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
8.438 * [taylor]: Taking taylor expansion of 1.0 in alpha
8.438 * [backup-simplify]: Simplify 1.0 into 1.0
8.438 * [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
8.438 * [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
8.438 * [taylor]: Taking taylor expansion of (pow alpha 2) in alpha
8.438 * [taylor]: Taking taylor expansion of alpha in alpha
8.438 * [backup-simplify]: Simplify 0 into 0
8.438 * [backup-simplify]: Simplify 1 into 1
8.438 * [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
8.438 * [taylor]: Taking taylor expansion of (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) in alpha
8.438 * [taylor]: Taking taylor expansion of 2.0 in alpha
8.438 * [backup-simplify]: Simplify 2.0 into 2.0
8.438 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in alpha
8.438 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
8.438 * [taylor]: Taking taylor expansion of alpha in alpha
8.438 * [backup-simplify]: Simplify 0 into 0
8.438 * [backup-simplify]: Simplify 1 into 1
8.439 * [backup-simplify]: Simplify (/ 1 1) into 1
8.439 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in alpha
8.439 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
8.439 * [taylor]: Taking taylor expansion of 2.0 in alpha
8.439 * [backup-simplify]: Simplify 2.0 into 2.0
8.439 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
8.439 * [taylor]: Taking taylor expansion of i in alpha
8.439 * [backup-simplify]: Simplify i into i
8.439 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
8.439 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
8.439 * [taylor]: Taking taylor expansion of beta in alpha
8.439 * [backup-simplify]: Simplify beta into beta
8.439 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
8.439 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in alpha
8.439 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
8.439 * [taylor]: Taking taylor expansion of alpha in alpha
8.439 * [backup-simplify]: Simplify 0 into 0
8.439 * [backup-simplify]: Simplify 1 into 1
8.440 * [backup-simplify]: Simplify (/ 1 1) into 1
8.440 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in alpha
8.440 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
8.440 * [taylor]: Taking taylor expansion of 2.0 in alpha
8.440 * [backup-simplify]: Simplify 2.0 into 2.0
8.440 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
8.440 * [taylor]: Taking taylor expansion of i in alpha
8.440 * [backup-simplify]: Simplify i into i
8.440 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
8.440 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
8.440 * [taylor]: Taking taylor expansion of beta in alpha
8.440 * [backup-simplify]: Simplify beta into beta
8.440 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
8.440 * [backup-simplify]: Simplify (* 1 1) into 1
8.441 * [backup-simplify]: Simplify (+ 1 0) into 1
8.441 * [backup-simplify]: Simplify (- 1) into -1
8.442 * [backup-simplify]: Simplify (+ 0 -1) into -1
8.442 * [backup-simplify]: Simplify (+ 1 0) into 1
8.442 * [backup-simplify]: Simplify (* -1 1) into -1
8.443 * [backup-simplify]: Simplify (* 1 -1) into -1
8.443 * [backup-simplify]: Simplify (/ 1 -1) into -1
8.443 * [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
8.443 * [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
8.443 * [taylor]: Taking taylor expansion of (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) in alpha
8.443 * [taylor]: Taking taylor expansion of 2.0 in alpha
8.443 * [backup-simplify]: Simplify 2.0 into 2.0
8.443 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in alpha
8.443 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
8.443 * [taylor]: Taking taylor expansion of alpha in alpha
8.443 * [backup-simplify]: Simplify 0 into 0
8.443 * [backup-simplify]: Simplify 1 into 1
8.444 * [backup-simplify]: Simplify (/ 1 1) into 1
8.444 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in alpha
8.444 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
8.444 * [taylor]: Taking taylor expansion of 2.0 in alpha
8.444 * [backup-simplify]: Simplify 2.0 into 2.0
8.444 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
8.444 * [taylor]: Taking taylor expansion of i in alpha
8.444 * [backup-simplify]: Simplify i into i
8.444 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
8.444 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
8.444 * [taylor]: Taking taylor expansion of beta in alpha
8.444 * [backup-simplify]: Simplify beta into beta
8.444 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
8.444 * [taylor]: Taking taylor expansion of (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2)) in alpha
8.444 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in alpha
8.444 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
8.444 * [taylor]: Taking taylor expansion of alpha in alpha
8.444 * [backup-simplify]: Simplify 0 into 0
8.444 * [backup-simplify]: Simplify 1 into 1
8.445 * [backup-simplify]: Simplify (/ 1 1) into 1
8.445 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in alpha
8.445 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
8.445 * [taylor]: Taking taylor expansion of 2.0 in alpha
8.445 * [backup-simplify]: Simplify 2.0 into 2.0
8.445 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
8.445 * [taylor]: Taking taylor expansion of i in alpha
8.445 * [backup-simplify]: Simplify i into i
8.445 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
8.445 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
8.445 * [taylor]: Taking taylor expansion of beta in alpha
8.445 * [backup-simplify]: Simplify beta into beta
8.445 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
8.445 * [taylor]: Taking taylor expansion of (pow beta 2) in alpha
8.445 * [taylor]: Taking taylor expansion of beta in alpha
8.445 * [backup-simplify]: Simplify beta into beta
8.445 * [backup-simplify]: Simplify (+ 1 0) into 1
8.446 * [backup-simplify]: Simplify (- 1) into -1
8.446 * [backup-simplify]: Simplify (+ 0 -1) into -1
8.447 * [backup-simplify]: Simplify (+ 1 0) into 1
8.447 * [backup-simplify]: Simplify (* beta beta) into (pow beta 2)
8.447 * [backup-simplify]: Simplify (* 1 (pow beta 2)) into (pow beta 2)
8.447 * [backup-simplify]: Simplify (* -1 (pow beta 2)) into (* -1 (pow beta 2))
8.447 * [backup-simplify]: Simplify (/ 1 (* -1 (pow beta 2))) into (/ -1 (pow beta 2))
8.448 * [backup-simplify]: Simplify (+ 1.0 -1) into 0
8.448 * [backup-simplify]: Simplify (+ 0 0) into 0
8.448 * [taylor]: Taking taylor expansion of 0 in beta
8.448 * [backup-simplify]: Simplify 0 into 0
8.448 * [taylor]: Taking taylor expansion of 0 in i
8.448 * [backup-simplify]: Simplify 0 into 0
8.448 * [backup-simplify]: Simplify 0 into 0
8.449 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.449 * [backup-simplify]: Simplify (* 2.0 (/ 1 i)) into (/ 2.0 i)
8.449 * [backup-simplify]: Simplify (+ (/ 2.0 i) (/ 1 beta)) into (+ (* 2.0 (/ 1 i)) (/ 1 beta))
8.449 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 (/ 1 i)) (/ 1 beta))) into (+ (* 2.0 (/ 1 i)) (/ 1 beta))
8.450 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.450 * [backup-simplify]: Simplify (* 2.0 (/ 1 i)) into (/ 2.0 i)
8.450 * [backup-simplify]: Simplify (+ (/ 2.0 i) (/ 1 beta)) into (+ (* 2.0 (/ 1 i)) (/ 1 beta))
8.450 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 (/ 1 i)) (/ 1 beta))) into (+ (* 2.0 (/ 1 i)) (/ 1 beta))
8.451 * [backup-simplify]: Simplify (- (+ (* 2.0 (/ 1 i)) (/ 1 beta))) into (- (+ (* 2.0 (/ 1 i)) (/ 1 beta)))
8.451 * [backup-simplify]: Simplify (+ 2.0 (- (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) into (- 2.0 (+ (* 2.0 (/ 1 i)) (/ 1 beta)))
8.451 * [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))))
8.452 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.453 * [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))))
8.453 * [backup-simplify]: Simplify (- (+ (* -1 (/ (- 2.0 (+ (* 4.0 (/ 1 i)) (* 2 (/ 1 beta)))) -1)))) into (- (+ (* 4.0 (/ 1 i)) (* 2 (/ 1 beta))) 2.0)
8.453 * [backup-simplify]: Simplify (+ 0 (- (+ (* 4.0 (/ 1 i)) (* 2 (/ 1 beta))) 2.0)) into (- (+ (* 4.0 (/ 1 i)) (* 2 (/ 1 beta))) 2.0)
8.454 * [backup-simplify]: Simplify (+ (- (+ (* 4.0 (/ 1 i)) (* 2 (/ 1 beta))) 2.0) 0) into (- (+ (* 4.0 (/ 1 i)) (* 2 (/ 1 beta))) 2.0)
8.454 * [taylor]: Taking taylor expansion of (- (+ (* 4.0 (/ 1 i)) (* 2 (/ 1 beta))) 2.0) in beta
8.454 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 i)) (* 2 (/ 1 beta))) in beta
8.454 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 i)) in beta
8.454 * [taylor]: Taking taylor expansion of 4.0 in beta
8.454 * [backup-simplify]: Simplify 4.0 into 4.0
8.454 * [taylor]: Taking taylor expansion of (/ 1 i) in beta
8.454 * [taylor]: Taking taylor expansion of i in beta
8.454 * [backup-simplify]: Simplify i into i
8.454 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
8.454 * [taylor]: Taking taylor expansion of (* 2 (/ 1 beta)) in beta
8.454 * [taylor]: Taking taylor expansion of 2 in beta
8.454 * [backup-simplify]: Simplify 2 into 2
8.454 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
8.454 * [taylor]: Taking taylor expansion of beta in beta
8.454 * [backup-simplify]: Simplify 0 into 0
8.454 * [backup-simplify]: Simplify 1 into 1
8.454 * [backup-simplify]: Simplify (/ 1 1) into 1
8.454 * [taylor]: Taking taylor expansion of 2.0 in beta
8.455 * [backup-simplify]: Simplify 2.0 into 2.0
8.455 * [backup-simplify]: Simplify (* 4.0 (/ 1 i)) into (/ 4.0 i)
8.455 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.456 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0
8.456 * [backup-simplify]: Simplify (+ (/ 4.0 i) 0) into (* 4.0 (/ 1 i))
8.456 * [backup-simplify]: Simplify (- 2.0) into (- 2.0)
8.457 * [backup-simplify]: Simplify (+ (* 4.0 (/ 1 i)) (- 2.0)) into (- (* 4.0 (/ 1 i)) 2.0)
8.457 * [taylor]: Taking taylor expansion of (- (* 4.0 (/ 1 i)) 2.0) in i
8.457 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 i)) in i
8.457 * [taylor]: Taking taylor expansion of 4.0 in i
8.457 * [backup-simplify]: Simplify 4.0 into 4.0
8.457 * [taylor]: Taking taylor expansion of (/ 1 i) in i
8.457 * [taylor]: Taking taylor expansion of i in i
8.457 * [backup-simplify]: Simplify 0 into 0
8.457 * [backup-simplify]: Simplify 1 into 1
8.457 * [backup-simplify]: Simplify (/ 1 1) into 1
8.457 * [taylor]: Taking taylor expansion of 2.0 in i
8.457 * [backup-simplify]: Simplify 2.0 into 2.0
8.458 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.459 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 1)) into 0
8.459 * [backup-simplify]: Simplify (- 2.0) into (- 2.0)
8.464 * [backup-simplify]: Simplify (+ 0 (- 2.0)) into (- 2.0)
8.465 * [backup-simplify]: Simplify (- 2.0) into (- 2.0)
8.465 * [taylor]: Taking taylor expansion of 0 in i
8.465 * [backup-simplify]: Simplify 0 into 0
8.465 * [backup-simplify]: Simplify 0 into 0
8.465 * [backup-simplify]: Simplify 0 into 0
8.465 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.465 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
8.466 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 (/ 1 i))) into 0
8.466 * [backup-simplify]: Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
8.466 * [backup-simplify]: Simplify (+ 0 0) into 0
8.466 * [backup-simplify]: Simplify (+ 0 0) into 0
8.467 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.467 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
8.467 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 (/ 1 i))) into 0
8.467 * [backup-simplify]: Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
8.468 * [backup-simplify]: Simplify (+ 0 0) into 0
8.468 * [backup-simplify]: Simplify (+ 0 0) into 0
8.468 * [backup-simplify]: Simplify (- 0) into 0
8.468 * [backup-simplify]: Simplify (+ 0 0) into 0
8.469 * [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)))))
8.470 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.471 * [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)))))
8.472 * [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))))
8.473 * [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))))
8.473 * [backup-simplify]: Simplify (- (/ -1 (pow beta 2))) into (/ 1 (pow beta 2))
8.474 * [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))))
8.474 * [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
8.474 * [taylor]: Taking taylor expansion of (+ (* 12.0 (/ 1 i)) (* 6.0 (/ 1 beta))) in beta
8.474 * [taylor]: Taking taylor expansion of (* 12.0 (/ 1 i)) in beta
8.474 * [taylor]: Taking taylor expansion of 12.0 in beta
8.474 * [backup-simplify]: Simplify 12.0 into 12.0
8.474 * [taylor]: Taking taylor expansion of (/ 1 i) in beta
8.474 * [taylor]: Taking taylor expansion of i in beta
8.474 * [backup-simplify]: Simplify i into i
8.474 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
8.474 * [taylor]: Taking taylor expansion of (* 6.0 (/ 1 beta)) in beta
8.474 * [taylor]: Taking taylor expansion of 6.0 in beta
8.474 * [backup-simplify]: Simplify 6.0 into 6.0
8.474 * [taylor]: Taking taylor expansion of (/ 1 beta) 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 * [backup-simplify]: Simplify (/ 1 1) into 1
8.474 * [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
8.474 * [taylor]: Taking taylor expansion of (* 12.0 (/ 1 (pow i 2))) in beta
8.474 * [taylor]: Taking taylor expansion of 12.0 in beta
8.474 * [backup-simplify]: Simplify 12.0 into 12.0
8.474 * [taylor]: Taking taylor expansion of (/ 1 (pow i 2)) in beta
8.474 * [taylor]: Taking taylor expansion of (pow i 2) in beta
8.474 * [taylor]: Taking taylor expansion of i in beta
8.474 * [backup-simplify]: Simplify i into i
8.474 * [backup-simplify]: Simplify (* i i) into (pow i 2)
8.474 * [backup-simplify]: Simplify (/ 1 (pow i 2)) into (/ 1 (pow i 2))
8.474 * [taylor]: Taking taylor expansion of (+ (* 12.0 (/ 1 (* i beta))) (+ (* 2 (/ 1 (pow beta 2))) 4.0)) in beta
8.475 * [taylor]: Taking taylor expansion of (* 12.0 (/ 1 (* i beta))) in beta
8.475 * [taylor]: Taking taylor expansion of 12.0 in beta
8.475 * [backup-simplify]: Simplify 12.0 into 12.0
8.475 * [taylor]: Taking taylor expansion of (/ 1 (* i beta)) in beta
8.475 * [taylor]: Taking taylor expansion of (* i beta) in beta
8.475 * [taylor]: Taking taylor expansion of i in beta
8.475 * [backup-simplify]: Simplify i into i
8.475 * [taylor]: Taking taylor expansion of beta in beta
8.475 * [backup-simplify]: Simplify 0 into 0
8.475 * [backup-simplify]: Simplify 1 into 1
8.475 * [backup-simplify]: Simplify (* i 0) into 0
8.475 * [backup-simplify]: Simplify (+ (* i 1) (* 0 0)) into i
8.475 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
8.475 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (pow beta 2))) 4.0) in beta
8.475 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow beta 2))) in beta
8.475 * [taylor]: Taking taylor expansion of 2 in beta
8.475 * [backup-simplify]: Simplify 2 into 2
8.475 * [taylor]: Taking taylor expansion of (/ 1 (pow beta 2)) in beta
8.475 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
8.475 * [taylor]: Taking taylor expansion of beta in beta
8.475 * [backup-simplify]: Simplify 0 into 0
8.475 * [backup-simplify]: Simplify 1 into 1
8.475 * [backup-simplify]: Simplify (* 1 1) into 1
8.476 * [backup-simplify]: Simplify (/ 1 1) into 1
8.476 * [taylor]: Taking taylor expansion of 4.0 in beta
8.476 * [backup-simplify]: Simplify 4.0 into 4.0
8.476 * [backup-simplify]: Simplify (* 12.0 (/ 1 i)) into (/ 12.0 i)
8.476 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.477 * [backup-simplify]: Simplify (+ (* 6.0 0) (* 0 1)) into 0
8.477 * [backup-simplify]: Simplify (+ (/ 12.0 i) 0) into (* 12.0 (/ 1 i))
8.477 * [backup-simplify]: Simplify (* 12.0 (/ 1 (pow i 2))) into (/ 12.0 (pow i 2))
8.477 * [backup-simplify]: Simplify (+ (* i 0) (+ (* 0 1) (* 0 0))) into 0
8.477 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
8.478 * [backup-simplify]: Simplify (+ (* 12.0 0) (* 0 (/ 1 i))) into 0
8.478 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.479 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.479 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.480 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.480 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0
8.481 * [backup-simplify]: Simplify (+ 0 4.0) into 4.0
8.481 * [backup-simplify]: Simplify (+ 0 4.0) into 4.0
8.481 * [backup-simplify]: Simplify (+ (/ 12.0 (pow i 2)) 4.0) into (+ (* 12.0 (/ 1 (pow i 2))) 4.0)
8.481 * [backup-simplify]: Simplify (- (+ (* 12.0 (/ 1 (pow i 2))) 4.0)) into (- (+ (* 12.0 (/ 1 (pow i 2))) 4.0))
8.482 * [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))
8.482 * [taylor]: Taking taylor expansion of (- (* 12.0 (/ 1 i)) (+ (* 12.0 (/ 1 (pow i 2))) 4.0)) in i
8.482 * [taylor]: Taking taylor expansion of (* 12.0 (/ 1 i)) in i
8.482 * [taylor]: Taking taylor expansion of 12.0 in i
8.482 * [backup-simplify]: Simplify 12.0 into 12.0
8.482 * [taylor]: Taking taylor expansion of (/ 1 i) in i
8.482 * [taylor]: Taking taylor expansion of i in i
8.482 * [backup-simplify]: Simplify 0 into 0
8.482 * [backup-simplify]: Simplify 1 into 1
8.482 * [backup-simplify]: Simplify (/ 1 1) into 1
8.482 * [taylor]: Taking taylor expansion of (+ (* 12.0 (/ 1 (pow i 2))) 4.0) in i
8.482 * [taylor]: Taking taylor expansion of (* 12.0 (/ 1 (pow i 2))) in i
8.482 * [taylor]: Taking taylor expansion of 12.0 in i
8.482 * [backup-simplify]: Simplify 12.0 into 12.0
8.482 * [taylor]: Taking taylor expansion of (/ 1 (pow i 2)) in i
8.482 * [taylor]: Taking taylor expansion of (pow i 2) in i
8.482 * [taylor]: Taking taylor expansion of i in i
8.482 * [backup-simplify]: Simplify 0 into 0
8.482 * [backup-simplify]: Simplify 1 into 1
8.482 * [backup-simplify]: Simplify (* 1 1) into 1
8.483 * [backup-simplify]: Simplify (/ 1 1) into 1
8.483 * [taylor]: Taking taylor expansion of 4.0 in i
8.483 * [backup-simplify]: Simplify 4.0 into 4.0
8.483 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.484 * [backup-simplify]: Simplify (+ (* 12.0 0) (* 0 1)) into 0
8.484 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.484 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.485 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.485 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.486 * [backup-simplify]: Simplify (+ (* 12.0 0) (+ (* 0 0) (* 0 1))) into 0
8.486 * [backup-simplify]: Simplify (+ 0 4.0) into 4.0
8.487 * [backup-simplify]: Simplify (- 4.0) into (- 4.0)
8.487 * [backup-simplify]: Simplify (+ 0 (- 4.0)) into (- 4.0)
8.487 * [backup-simplify]: Simplify (- 4.0) into (- 4.0)
8.487 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
8.488 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 i))) into 0
8.488 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.489 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0
8.489 * [backup-simplify]: Simplify (+ 0 0) into 0
8.489 * [backup-simplify]: Simplify (- 0) into 0
8.490 * [backup-simplify]: Simplify (+ 0 0) into 0
8.490 * [taylor]: Taking taylor expansion of 0 in i
8.490 * [backup-simplify]: Simplify 0 into 0
8.490 * [backup-simplify]: Simplify 0 into 0
8.490 * [taylor]: Taking taylor expansion of 0 in i
8.490 * [backup-simplify]: Simplify 0 into 0
8.490 * [backup-simplify]: Simplify 0 into 0
8.490 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.491 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 1))) into 0
8.491 * [backup-simplify]: Simplify (- 0) into 0
8.491 * [backup-simplify]: Simplify (+ 0 0) into 0
8.491 * [backup-simplify]: Simplify 0 into 0
8.492 * [backup-simplify]: Simplify 0 into 0
8.492 * [backup-simplify]: Simplify 0 into 0
8.492 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.493 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)) (* 0 (/ 0 i)))) into 0
8.493 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 (/ 1 i)))) into 0
8.494 * [backup-simplify]: Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
8.494 * [backup-simplify]: Simplify (+ 0 0) into 0
8.494 * [backup-simplify]: Simplify (+ 0 0) into 0
8.495 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.496 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)) (* 0 (/ 0 i)))) into 0
8.496 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 (/ 1 i)))) into 0
8.497 * [backup-simplify]: Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
8.497 * [backup-simplify]: Simplify (+ 0 0) into 0
8.497 * [backup-simplify]: Simplify (+ 0 0) into 0
8.498 * [backup-simplify]: Simplify (- 0) into 0
8.498 * [backup-simplify]: Simplify (+ 0 0) into 0
8.499 * [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
8.501 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
8.503 * [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
8.508 * [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))))
8.511 * [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))))
8.512 * [backup-simplify]: Simplify (+ (* beta 0) (* 0 beta)) into 0
8.512 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.513 * [backup-simplify]: Simplify (* 2.0 (/ 1 i)) into (/ 2.0 i)
8.513 * [backup-simplify]: Simplify (+ (/ 2.0 i) (/ 1 beta)) into (+ (* 2.0 (/ 1 i)) (/ 1 beta))
8.513 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 (/ 1 i)) (/ 1 beta))) into (+ (* 2.0 (/ 1 i)) (/ 1 beta))
8.514 * [backup-simplify]: Simplify (+ (* 1 0) (* (+ (* 2.0 (/ 1 i)) (/ 1 beta)) (pow beta 2))) into (+ (* 2.0 (/ (pow beta 2) i)) beta)
8.515 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.515 * [backup-simplify]: Simplify (* 2.0 (/ 1 i)) into (/ 2.0 i)
8.515 * [backup-simplify]: Simplify (+ (/ 2.0 i) (/ 1 beta)) into (+ (* 2.0 (/ 1 i)) (/ 1 beta))
8.515 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 (/ 1 i)) (/ 1 beta))) into (+ (* 2.0 (/ 1 i)) (/ 1 beta))
8.515 * [backup-simplify]: Simplify (- (+ (* 2.0 (/ 1 i)) (/ 1 beta))) into (- (+ (* 2.0 (/ 1 i)) (/ 1 beta)))
8.516 * [backup-simplify]: Simplify (+ 2.0 (- (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) into (- 2.0 (+ (* 2.0 (/ 1 i)) (/ 1 beta)))
8.516 * [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)))
8.518 * [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))))
8.519 * [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)))))
8.523 * [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)))))))
8.523 * [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
8.523 * [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
8.523 * [taylor]: Taking taylor expansion of (* 20.0 (/ 1 (* i (pow beta 2)))) in beta
8.523 * [taylor]: Taking taylor expansion of 20.0 in beta
8.523 * [backup-simplify]: Simplify 20.0 into 20.0
8.523 * [taylor]: Taking taylor expansion of (/ 1 (* i (pow beta 2))) in beta
8.523 * [taylor]: Taking taylor expansion of (* i (pow beta 2)) in beta
8.523 * [taylor]: Taking taylor expansion of i in beta
8.523 * [backup-simplify]: Simplify i into i
8.523 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
8.523 * [taylor]: Taking taylor expansion of beta in beta
8.523 * [backup-simplify]: Simplify 0 into 0
8.523 * [backup-simplify]: Simplify 1 into 1
8.524 * [backup-simplify]: Simplify (* 1 1) into 1
8.524 * [backup-simplify]: Simplify (* i 1) into i
8.524 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
8.524 * [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
8.524 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow beta 3))) in beta
8.524 * [taylor]: Taking taylor expansion of 2 in beta
8.524 * [backup-simplify]: Simplify 2 into 2
8.524 * [taylor]: Taking taylor expansion of (/ 1 (pow beta 3)) in beta
8.524 * [taylor]: Taking taylor expansion of (pow beta 3) in beta
8.524 * [taylor]: Taking taylor expansion of beta in beta
8.524 * [backup-simplify]: Simplify 0 into 0
8.524 * [backup-simplify]: Simplify 1 into 1
8.525 * [backup-simplify]: Simplify (* 1 1) into 1
8.525 * [backup-simplify]: Simplify (* 1 1) into 1
8.525 * [backup-simplify]: Simplify (/ 1 1) into 1
8.525 * [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
8.525 * [taylor]: Taking taylor expansion of (* 48.0 (/ 1 (* (pow i 2) beta))) in beta
8.525 * [taylor]: Taking taylor expansion of 48.0 in beta
8.525 * [backup-simplify]: Simplify 48.0 into 48.0
8.525 * [taylor]: Taking taylor expansion of (/ 1 (* (pow i 2) beta)) in beta
8.526 * [taylor]: Taking taylor expansion of (* (pow i 2) beta) in beta
8.526 * [taylor]: Taking taylor expansion of (pow i 2) in beta
8.526 * [taylor]: Taking taylor expansion of i in beta
8.526 * [backup-simplify]: Simplify i into i
8.526 * [taylor]: Taking taylor expansion of beta in beta
8.526 * [backup-simplify]: Simplify 0 into 0
8.526 * [backup-simplify]: Simplify 1 into 1
8.526 * [backup-simplify]: Simplify (* i i) into (pow i 2)
8.526 * [backup-simplify]: Simplify (* (pow i 2) 0) into 0
8.526 * [backup-simplify]: Simplify (+ (* i 0) (* 0 i)) into 0
8.527 * [backup-simplify]: Simplify (+ (* (pow i 2) 1) (* 0 0)) into (pow i 2)
8.527 * [backup-simplify]: Simplify (/ 1 (pow i 2)) into (/ 1 (pow i 2))
8.527 * [taylor]: Taking taylor expansion of (+ (* 32.0 (/ 1 i)) (+ (* 16.0 (/ 1 beta)) (* 32.0 (/ 1 (pow i 3))))) in beta
8.527 * [taylor]: Taking taylor expansion of (* 32.0 (/ 1 i)) in beta
8.527 * [taylor]: Taking taylor expansion of 32.0 in beta
8.527 * [backup-simplify]: Simplify 32.0 into 32.0
8.527 * [taylor]: Taking taylor expansion of (/ 1 i) in beta
8.527 * [taylor]: Taking taylor expansion of i in beta
8.527 * [backup-simplify]: Simplify i into i
8.527 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
8.527 * [taylor]: Taking taylor expansion of (+ (* 16.0 (/ 1 beta)) (* 32.0 (/ 1 (pow i 3)))) in beta
8.527 * [taylor]: Taking taylor expansion of (* 16.0 (/ 1 beta)) in beta
8.527 * [taylor]: Taking taylor expansion of 16.0 in beta
8.527 * [backup-simplify]: Simplify 16.0 into 16.0
8.527 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
8.527 * [taylor]: Taking taylor expansion of beta in beta
8.527 * [backup-simplify]: Simplify 0 into 0
8.527 * [backup-simplify]: Simplify 1 into 1
8.528 * [backup-simplify]: Simplify (/ 1 1) into 1
8.528 * [taylor]: Taking taylor expansion of (* 32.0 (/ 1 (pow i 3))) in beta
8.528 * [taylor]: Taking taylor expansion of 32.0 in beta
8.528 * [backup-simplify]: Simplify 32.0 into 32.0
8.528 * [taylor]: Taking taylor expansion of (/ 1 (pow i 3)) in beta
8.528 * [taylor]: Taking taylor expansion of (pow i 3) in beta
8.528 * [taylor]: Taking taylor expansion of i in beta
8.528 * [backup-simplify]: Simplify i into i
8.528 * [backup-simplify]: Simplify (* i i) into (pow i 2)
8.528 * [backup-simplify]: Simplify (* i (pow i 2)) into (pow i 3)
8.528 * [backup-simplify]: Simplify (/ 1 (pow i 3)) into (/ 1 (pow i 3))
8.528 * [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
8.528 * [taylor]: Taking taylor expansion of (* 10.0 (/ 1 (pow beta 2))) in beta
8.528 * [taylor]: Taking taylor expansion of 10.0 in beta
8.529 * [backup-simplify]: Simplify 10.0 into 10.0
8.529 * [taylor]: Taking taylor expansion of (/ 1 (pow beta 2)) in beta
8.529 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
8.529 * [taylor]: Taking taylor expansion of beta in beta
8.529 * [backup-simplify]: Simplify 0 into 0
8.529 * [backup-simplify]: Simplify 1 into 1
8.529 * [backup-simplify]: Simplify (* 1 1) into 1
8.529 * [backup-simplify]: Simplify (/ 1 1) into 1
8.529 * [taylor]: Taking taylor expansion of (+ 8.0 (+ (* 48.0 (/ 1 (pow i 2))) (* 48.0 (/ 1 (* i beta))))) in beta
8.530 * [taylor]: Taking taylor expansion of 8.0 in beta
8.530 * [backup-simplify]: Simplify 8.0 into 8.0
8.530 * [taylor]: Taking taylor expansion of (+ (* 48.0 (/ 1 (pow i 2))) (* 48.0 (/ 1 (* i beta)))) in beta
8.530 * [taylor]: Taking taylor expansion of (* 48.0 (/ 1 (pow i 2))) in beta
8.530 * [taylor]: Taking taylor expansion of 48.0 in beta
8.530 * [backup-simplify]: Simplify 48.0 into 48.0
8.530 * [taylor]: Taking taylor expansion of (/ 1 (pow i 2)) in beta
8.530 * [taylor]: Taking taylor expansion of (pow i 2) in beta
8.530 * [taylor]: Taking taylor expansion of i in beta
8.530 * [backup-simplify]: Simplify i into i
8.530 * [backup-simplify]: Simplify (* i i) into (pow i 2)
8.530 * [backup-simplify]: Simplify (/ 1 (pow i 2)) into (/ 1 (pow i 2))
8.530 * [taylor]: Taking taylor expansion of (* 48.0 (/ 1 (* i beta))) in beta
8.530 * [taylor]: Taking taylor expansion of 48.0 in beta
8.530 * [backup-simplify]: Simplify 48.0 into 48.0
8.530 * [taylor]: Taking taylor expansion of (/ 1 (* i beta)) in beta
8.530 * [taylor]: Taking taylor expansion of (* i beta) in beta
8.531 * [taylor]: Taking taylor expansion of i in beta
8.531 * [backup-simplify]: Simplify i into i
8.531 * [taylor]: Taking taylor expansion of beta in beta
8.531 * [backup-simplify]: Simplify 0 into 0
8.531 * [backup-simplify]: Simplify 1 into 1
8.531 * [backup-simplify]: Simplify (* i 0) into 0
8.531 * [backup-simplify]: Simplify (+ (* i 1) (* 0 0)) into i
8.531 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
8.532 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.533 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.533 * [backup-simplify]: Simplify (+ (* i 0) (+ (* 0 0) (* 0 1))) into 0
8.534 * [backup-simplify]: Simplify (+ (* i 0) (* 0 1)) into 0
8.534 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
8.534 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)) (* 0 (/ 0 i)))) into 0
8.535 * [backup-simplify]: Simplify (+ (* 20.0 0) (+ (* 0 0) (* 0 (/ 1 i)))) into 0
8.536 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
8.537 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.538 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.539 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
8.540 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.540 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.541 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.542 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.543 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.544 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
8.545 * [backup-simplify]: Simplify (+ (* i 0) (+ (* 0 0) (* 0 i))) into 0
8.545 * [backup-simplify]: Simplify (+ (* (pow i 2) 0) (+ (* 0 1) (* 0 0))) into 0
8.546 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow i 2)) (/ 0 (pow i 2))))) into 0
8.546 * [backup-simplify]: Simplify (+ (* 48.0 0) (* 0 (/ 1 (pow i 2)))) into 0
8.546 * [backup-simplify]: Simplify (* 32.0 (/ 1 i)) into (/ 32.0 i)
8.547 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.548 * [backup-simplify]: Simplify (+ (* 16.0 0) (* 0 1)) into 0
8.548 * [backup-simplify]: Simplify (* 32.0 (/ 1 (pow i 3))) into (/ 32.0 (pow i 3))
8.548 * [backup-simplify]: Simplify (+ 0 (/ 32.0 (pow i 3))) into (* 32.0 (/ 1 (pow i 3)))
8.549 * [backup-simplify]: Simplify (+ (/ 32.0 i) (* 32.0 (/ 1 (pow i 3)))) into (+ (* 32.0 (/ 1 i)) (* 32.0 (/ 1 (pow i 3))))
8.549 * [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)))
8.549 * [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)))
8.550 * [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)))
8.551 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.551 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.552 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.553 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.554 * [backup-simplify]: Simplify (+ (* 10.0 0) (+ (* 0 0) (* 0 1))) into 0
8.554 * [backup-simplify]: Simplify (* 48.0 (/ 1 (pow i 2))) into (/ 48.0 (pow i 2))
8.555 * [backup-simplify]: Simplify (+ (* i 0) (+ (* 0 1) (* 0 0))) into 0
8.555 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
8.556 * [backup-simplify]: Simplify (+ (* 48.0 0) (* 0 (/ 1 i))) into 0
8.556 * [backup-simplify]: Simplify (+ (/ 48.0 (pow i 2)) 0) into (* 48.0 (/ 1 (pow i 2)))
8.556 * [backup-simplify]: Simplify (+ 8.0 (* 48.0 (/ 1 (pow i 2)))) into (+ (* 48.0 (/ 1 (pow i 2))) 8.0)
8.556 * [backup-simplify]: Simplify (+ 0 (+ (* 48.0 (/ 1 (pow i 2))) 8.0)) into (+ (* 48.0 (/ 1 (pow i 2))) 8.0)
8.557 * [backup-simplify]: Simplify (- (+ (* 48.0 (/ 1 (pow i 2))) 8.0)) into (- (+ (* 48.0 (/ 1 (pow i 2))) 8.0))
8.557 * [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)))))
8.557 * [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
8.557 * [taylor]: Taking taylor expansion of (+ (* 32.0 (/ 1 i)) (* 32.0 (/ 1 (pow i 3)))) in i
8.557 * [taylor]: Taking taylor expansion of (* 32.0 (/ 1 i)) in i
8.558 * [taylor]: Taking taylor expansion of 32.0 in i
8.558 * [backup-simplify]: Simplify 32.0 into 32.0
8.558 * [taylor]: Taking taylor expansion of (/ 1 i) in i
8.558 * [taylor]: Taking taylor expansion of i in i
8.558 * [backup-simplify]: Simplify 0 into 0
8.558 * [backup-simplify]: Simplify 1 into 1
8.558 * [backup-simplify]: Simplify (/ 1 1) into 1
8.558 * [taylor]: Taking taylor expansion of (* 32.0 (/ 1 (pow i 3))) in i
8.558 * [taylor]: Taking taylor expansion of 32.0 in i
8.558 * [backup-simplify]: Simplify 32.0 into 32.0
8.558 * [taylor]: Taking taylor expansion of (/ 1 (pow i 3)) in i
8.558 * [taylor]: Taking taylor expansion of (pow i 3) in i
8.558 * [taylor]: Taking taylor expansion of i in i
8.558 * [backup-simplify]: Simplify 0 into 0
8.558 * [backup-simplify]: Simplify 1 into 1
8.559 * [backup-simplify]: Simplify (* 1 1) into 1
8.559 * [backup-simplify]: Simplify (* 1 1) into 1
8.560 * [backup-simplify]: Simplify (/ 1 1) into 1
8.560 * [taylor]: Taking taylor expansion of (+ 8.0 (* 48.0 (/ 1 (pow i 2)))) in i
8.560 * [taylor]: Taking taylor expansion of 8.0 in i
8.560 * [backup-simplify]: Simplify 8.0 into 8.0
8.560 * [taylor]: Taking taylor expansion of (* 48.0 (/ 1 (pow i 2))) in i
8.560 * [taylor]: Taking taylor expansion of 48.0 in i
8.560 * [backup-simplify]: Simplify 48.0 into 48.0
8.560 * [taylor]: Taking taylor expansion of (/ 1 (pow i 2)) in i
8.560 * [taylor]: Taking taylor expansion of (pow i 2) in i
8.560 * [taylor]: Taking taylor expansion of i in i
8.560 * [backup-simplify]: Simplify 0 into 0
8.560 * [backup-simplify]: Simplify 1 into 1
8.560 * [backup-simplify]: Simplify (* 1 1) into 1
8.561 * [backup-simplify]: Simplify (/ 1 1) into 1
8.562 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.562 * [backup-simplify]: Simplify (+ (* 32.0 0) (* 0 1)) into 0
8.563 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
8.565 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.565 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.566 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
8.567 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.568 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.569 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.570 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.571 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.572 * [backup-simplify]: Simplify (+ (* 32.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
8.572 * [backup-simplify]: Simplify (+ 0 0) into 0
8.573 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.574 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.575 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.576 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.577 * [backup-simplify]: Simplify (+ (* 48.0 0) (+ (* 0 0) (* 0 1))) into 0
8.577 * [backup-simplify]: Simplify (+ 8.0 0) into 8.0
8.578 * [backup-simplify]: Simplify (- 8.0) into (- 8.0)
8.579 * [backup-simplify]: Simplify (+ 0 (- 8.0)) into (- 8.0)
8.579 * [backup-simplify]: Simplify (- 8.0) into (- 8.0)
8.582 * [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))))
8.582 * * * [progress]: simplifying candidates
8.594 * [simplify]: Simplifying:
  (* (+ 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))
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  (/ (/ (- (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)))
  (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)))
  (- (* 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
  (- (+ 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))))
8.607 * [simplify]: Sending expressions to egg_math:
 (* (+ h2 h1) (/ (/ (- h1 h2) (+ (+ h2 h1) (* 2.0 h0))) (+ (+ (+ h2 h1) (* 2.0 h0)) 2.0)))
 (+ (log (+ h2 h1)) (- (- (log (- h1 h2)) (log (+ (+ h2 h1) (* 2.0 h0)))) (log (+ (+ (+ h2 h1) (* 2.0 h0)) 2.0))))
 (+ (log (+ h2 h1)) (- (log (/ (- h1 h2) (+ (+ h2 h1) (* 2.0 h0)))) (log (+ (+ (+ h2 h1) (* 2.0 h0)) 2.0))))
 (+ (log (+ h2 h1)) (log (/ (/ (- h1 h2) (+ (+ h2 h1) (* 2.0 h0))) (+ (+ (+ h2 h1) (* 2.0 h0)) 2.0))))
 (log (* (+ h2 h1) (/ (/ (- h1 h2) (+ (+ h2 h1) (* 2.0 h0))) (+ (+ (+ h2 h1) (* 2.0 h0)) 2.0))))
 (exp (* (+ h2 h1) (/ (/ (- h1 h2) (+ (+ h2 h1) (* 2.0 h0))) (+ (+ (+ h2 h1) (* 2.0 h0)) 2.0))))
 (* (* (* (+ h2 h1) (+ h2 h1)) (+ h2 h1)) (/ (/ (* (* (- h1 h2) (- h1 h2)) (- h1 h2)) (* (* (+ (+ h2 h1) (* 2.0 h0)) (+ (+ h2 h1) (* 2.0 h0))) (+ (+ h2 h1) (* 2.0 h0)))) (* (* (+ (+ (+ h2 h1) (* 2.0 h0)) 2.0) (+ (+ (+ h2 h1) (* 2.0 h0)) 2.0)) (+ (+ (+ h2 h1) (* 2.0 h0)) 2.0))))
 (* (* (* (+ h2 h1) (+ h2 h1)) (+ h2 h1)) (/ (* (* (/ (- h1 h2) (+ (+ h2 h1) (* 2.0 h0))) (/ (- h1 h2) (+ (+ h2 h1) (* 2.0 h0)))) (/ (- h1 h2) (+ (+ h2 h1) (* 2.0 h0)))) (* (* (+ (+ (+ h2 h1) (* 2.0 h0)) 2.0) (+ (+ (+ h2 h1) (* 2.0 h0)) 2.0)) (+ (+ (+ h2 h1) (* 2.0 h0)) 2.0))))
 (* (* (* (+ h2 h1) (+ h2 h1)) (+ h2 h1)) (* (* (/ (/ (- h1 h2) (+ (+ h2 h1) (* 2.0 h0))) (+ (+ (+ h2 h1) (* 2.0 h0)) 2.0)) (/ (/ (- h1 h2) (+ (+ h2 h1) (* 2.0 h0))) (+ (+ (+ h2 h1) (* 2.0 h0)) 2.0))) (/ (/ (- h1 h2) (+ (+ h2 h1) (* 2.0 h0))) (+ (+ (+ h2 h1) (* 2.0 h0)) 2.0))))
 (* (cbrt (* (+ h2 h1) (/ (/ (- h1 h2) (+ (+ h2 h1) (* 2.0 h0))) (+ (+ (+ h2 h1) (* 2.0 h0)) 2.0)))) (cbrt (* (+ h2 h1) (/ (/ (- h1 h2) (+ (+ h2 h1) (* 2.0 h0))) (+ (+ (+ h2 h1) (* 2.0 h0)) 2.0)))))
 (cbrt (* (+ h2 h1) (/ (/ (- h1 h2) (+ (+ h2 h1) (* 2.0 h0))) (+ (+ (+ h2 h1) (* 2.0 h0)) 2.0))))
 (* (* (* (+ h2 h1) (/ (/ (- h1 h2) (+ (+ h2 h1) (* 2.0 h0))) (+ (+ (+ h2 h1) (* 2.0 h0)) 2.0))) (* (+ h2 h1) (/ (/ (- h1 h2) (+ (+ h2 h1) (* 2.0 h0))) (+ (+ (+ h2 h1) (* 2.0 h0)) 2.0)))) (* (+ h2 h1) (/ (/ (- h1 h2) (+ (+ h2 h1) (* 2.0 h0))) (+ (+ (+ h2 h1) (* 2.0 h0)) 2.0))))
 (sqrt (* (+ h2 h1) (/ (/ (- h1 h2) (+ (+ h2 h1) (* 2.0 h0))) (+ (+ (+ h2 h1) (* 2.0 h0)) 2.0))))
 (sqrt (* (+ h2 h1) (/ (/ (- h1 h2) (+ (+ h2 h1) (* 2.0 h0))) (+ (+ (+ h2 h1) (* 2.0 h0)) 2.0))))
 (* (+ (pow h2 3) (pow h1 3)) (/ (- h1 h2) (+ (+ h2 h1) (* 2.0 h0))))
 (* (+ (* h2 h2) (- (* h1 h1) (* h2 h1))) (+ (+ (+ h2 h1) (* 2.0 h0)) 2.0))
 (* (- (* h2 h2) (* h1 h1)) (/ (- h1 h2) (+ (+ h2 h1) (* 2.0 h0))))
 (* (- h2 h1) (+ (+ (+ h2 h1) (* 2.0 h0)) 2.0))
 (* (sqrt (+ h2 h1)) (sqrt (/ (/ (- h1 h2) (+ (+ h2 h1) (* 2.0 h0))) (+ (+ (+ h2 h1) (* 2.0 h0)) 2.0))))
 (* (sqrt (+ h2 h1)) (sqrt (/ (/ (- h1 h2) (+ (+ h2 h1) (* 2.0 h0))) (+ (+ (+ h2 h1) (* 2.0 h0)) 2.0))))
 (* (sqrt (+ h2 h1)) (/ (sqrt (/ (- h1 h2) (+ (+ h2 h1) (* 2.0 h0)))) (sqrt (+ (+ (+ h2 h1) (* 2.0 h0)) 2.0))))
 (* (sqrt (+ h2 h1)) (/ (sqrt (/ (- h1 h2) (+ (+ h2 h1) (* 2.0 h0)))) (sqrt (+ (+ (+ h2 h1) (* 2.0 h0)) 2.0))))
 (* (sqrt (+ h2 h1)) (/ (/ (sqrt (- h1 h2)) (sqrt (+ (+ h2 h1) (* 2.0 h0)))) (sqrt (+ (+ (+ h2 h1) (* 2.0 h0)) 2.0))))
 (* (sqrt (+ h2 h1)) (/ (/ (sqrt (- h1 h2)) (sqrt (+ (+ h2 h1) (* 2.0 h0)))) (sqrt (+ (+ (+ h2 h1) (* 2.0 h0)) 2.0))))
 (* (+ h2 h1) (* (cbrt (/ (/ (- h1 h2) (+ (+ h2 h1) (* 2.0 h0))) (+ (+ (+ h2 h1) (* 2.0 h0)) 2.0))) (cbrt (/ (/ (- h1 h2) (+ (+ h2 h1) (* 2.0 h0))) (+ (+ (+ h2 h1) (* 2.0 h0)) 2.0)))))
 (* (+ h2 h1) (sqrt (/ (/ (- h1 h2) (+ (+ h2 h1) (* 2.0 h0))) (+ (+ (+ h2 h1) (* 2.0 h0)) 2.0))))
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 (/ (+ (+ (+ h2 h1) (* 2.0 h0)) 2.0) (/ (- (sqrt h1) (sqrt h2)) (cbrt (+ (+ h2 h1) (* 2.0 h0)))))
 (/ (+ (+ (+ h2 h1) (* 2.0 h0)) 2.0) (/ (- (sqrt h1) (sqrt h2)) (sqrt (+ (+ h2 h1) (* 2.0 h0)))))
 (/ (+ (+ (+ h2 h1) (* 2.0 h0)) 2.0) (/ (- (sqrt h1) (sqrt h2)) (+ (+ h2 h1) (* 2.0 h0))))
 (/ (+ (+ (+ h2 h1) (* 2.0 h0)) 2.0) (/ (- h1 h2) (cbrt (+ (+ h2 h1) (* 2.0 h0)))))
 (/ (+ (+ (+ h2 h1) (* 2.0 h0)) 2.0) (/ (- h1 h2) (sqrt (+ (+ h2 h1) (* 2.0 h0)))))
 (/ (+ (+ (+ h2 h1) (* 2.0 h0)) 2.0) (/ (- h1 h2) (+ (+ h2 h1) (* 2.0 h0))))
 (/ (+ (+ (+ h2 h1) (* 2.0 h0)) 2.0) (/ (- h1 h2) (+ (+ h2 h1) (* 2.0 h0))))
 (/ (+ (+ (+ h2 h1) (* 2.0 h0)) 2.0) (/ 1 (+ (+ h2 h1) (* 2.0 h0))))
 (/ (+ (+ (+ h2 h1) (* 2.0 h0)) 2.0) (+ (* (+ h2 h1) (+ h2 h1)) (- (* (* 2.0 h0) (* 2.0 h0)) (* (+ h2 h1) (* 2.0 h0)))))
 (/ (+ (+ (+ h2 h1) (* 2.0 h0)) 2.0) (- (+ h2 h1) (* 2.0 h0)))
 (/ (/ (- h1 h2) (+ (+ h2 h1) (* 2.0 h0))) (+ (pow (+ (+ h2 h1) (* 2.0 h0)) 3) (pow 2.0 3)))
 (/ (/ (- h1 h2) (+ (+ h2 h1) (* 2.0 h0))) (- (* (+ (+ h2 h1) (* 2.0 h0)) (+ (+ h2 h1) (* 2.0 h0))) (* 2.0 2.0)))
 (* (+ (+ (+ h2 h1) (* 2.0 h0)) 2.0) (+ (+ h2 h1) (* 2.0 h0)))
 (log (cbrt (pow (+ (* (+ h2 h1) (/ (/ (- h1 h2) (+ (+ h2 h1) (* 2.0 h0))) (+ (+ (+ h2 h1) (* 2.0 h0)) 2.0))) 1.0) 3)))
 (exp (cbrt (pow (+ (* (+ h2 h1) (/ (/ (- h1 h2) (+ (+ h2 h1) (* 2.0 h0))) (+ (+ (+ h2 h1) (* 2.0 h0)) 2.0))) 1.0) 3)))
 (cbrt (pow (* (cbrt (+ (* (+ h2 h1) (/ (/ (- h1 h2) (+ (+ h2 h1) (* 2.0 h0))) (+ (+ (+ h2 h1) (* 2.0 h0)) 2.0))) 1.0)) (cbrt (+ (* (+ h2 h1) (/ (/ (- h1 h2) (+ (+ h2 h1) (* 2.0 h0))) (+ (+ (+ h2 h1) (* 2.0 h0)) 2.0))) 1.0))) 3))
 (cbrt (pow (cbrt (+ (* (+ h2 h1) (/ (/ (- h1 h2) (+ (+ h2 h1) (* 2.0 h0))) (+ (+ (+ h2 h1) (* 2.0 h0)) 2.0))) 1.0)) 3))
 (cbrt (pow (sqrt (+ (* (+ h2 h1) (/ (/ (- h1 h2) (+ (+ h2 h1) (* 2.0 h0))) (+ (+ (+ h2 h1) (* 2.0 h0)) 2.0))) 1.0)) 3))
 (cbrt (pow (sqrt (+ (* (+ h2 h1) (/ (/ (- h1 h2) (+ (+ h2 h1) (* 2.0 h0))) (+ (+ (+ h2 h1) (* 2.0 h0)) 2.0))) 1.0)) 3))
 (cbrt (pow 1 3))
 (cbrt (pow (+ (* (+ h2 h1) (/ (/ (- h1 h2) (+ (+ h2 h1) (* 2.0 h0))) (+ (+ (+ h2 h1) (* 2.0 h0)) 2.0))) 1.0) 3))
 (cbrt (* (+ (* (+ h2 h1) (/ (/ (- h1 h2) (+ (+ h2 h1) (* 2.0 h0))) (+ (+ (+ h2 h1) (* 2.0 h0)) 2.0))) 1.0) (+ (* (+ h2 h1) (/ (/ (- h1 h2) (+ (+ h2 h1) (* 2.0 h0))) (+ (+ (+ h2 h1) (* 2.0 h0)) 2.0))) 1.0)))
 (cbrt (+ (* (+ h2 h1) (/ (/ (- h1 h2) (+ (+ h2 h1) (* 2.0 h0))) (+ (+ (+ h2 h1) (* 2.0 h0)) 2.0))) 1.0))
 (cbrt (* (cbrt (pow (+ (* (+ h2 h1) (/ (/ (- h1 h2) (+ (+ h2 h1) (* 2.0 h0))) (+ (+ (+ h2 h1) (* 2.0 h0)) 2.0))) 1.0) 3)) (cbrt (pow (+ (* (+ h2 h1) (/ (/ (- h1 h2) (+ (+ h2 h1) (* 2.0 h0))) (+ (+ (+ h2 h1) (* 2.0 h0)) 2.0))) 1.0) 3))))
 (cbrt (cbrt (pow (+ (* (+ h2 h1) (/ (/ (- h1 h2) (+ (+ h2 h1) (* 2.0 h0))) (+ (+ (+ h2 h1) (* 2.0 h0)) 2.0))) 1.0) 3)))
 (cbrt (pow (* (cbrt (+ (* (+ h2 h1) (/ (/ (- h1 h2) (+ (+ h2 h1) (* 2.0 h0))) (+ (+ (+ h2 h1) (* 2.0 h0)) 2.0))) 1.0)) (cbrt (+ (* (+ h2 h1) (/ (/ (- h1 h2) (+ (+ h2 h1) (* 2.0 h0))) (+ (+ (+ h2 h1) (* 2.0 h0)) 2.0))) 1.0))) 3))
 (cbrt (pow (cbrt (+ (* (+ h2 h1) (/ (/ (- h1 h2) (+ (+ h2 h1) (* 2.0 h0))) (+ (+ (+ h2 h1) (* 2.0 h0)) 2.0))) 1.0)) 3))
 (cbrt (pow (sqrt (+ (* (+ h2 h1) (/ (/ (- h1 h2) (+ (+ h2 h1) (* 2.0 h0))) (+ (+ (+ h2 h1) (* 2.0 h0)) 2.0))) 1.0)) 3))
 (cbrt (pow (sqrt (+ (* (+ h2 h1) (/ (/ (- h1 h2) (+ (+ h2 h1) (* 2.0 h0))) (+ (+ (+ h2 h1) (* 2.0 h0)) 2.0))) 1.0)) 3))
 (cbrt (pow 1 3))
 (cbrt (pow (+ (* (+ h2 h1) (/ (/ (- h1 h2) (+ (+ h2 h1) (* 2.0 h0))) (+ (+ (+ h2 h1) (* 2.0 h0)) 2.0))) 1.0) 3))
 (cbrt (+ (* (+ h2 h1) (/ (/ (- h1 h2) (+ (+ h2 h1) (* 2.0 h0))) (+ (+ (+ h2 h1) (* 2.0 h0)) 2.0))) 1.0))
 (cbrt (* (+ (* (+ h2 h1) (/ (/ (- h1 h2) (+ (+ h2 h1) (* 2.0 h0))) (+ (+ (+ h2 h1) (* 2.0 h0)) 2.0))) 1.0) (+ (* (+ h2 h1) (/ (/ (- h1 h2) (+ (+ h2 h1) (* 2.0 h0))) (+ (+ (+ h2 h1) (* 2.0 h0)) 2.0))) 1.0)))
 (cbrt (sqrt (pow (+ (* (+ h2 h1) (/ (/ (- h1 h2) (+ (+ h2 h1) (* 2.0 h0))) (+ (+ (+ h2 h1) (* 2.0 h0)) 2.0))) 1.0) 3)))
 (cbrt (sqrt (pow (+ (* (+ h2 h1) (/ (/ (- h1 h2) (+ (+ h2 h1) (* 2.0 h0))) (+ (+ (+ h2 h1) (* 2.0 h0)) 2.0))) 1.0) 3)))
 (cbrt 1)
 (cbrt (pow (+ (* (+ h2 h1) (/ (/ (- h1 h2) (+ (+ h2 h1) (* 2.0 h0))) (+ (+ (+ h2 h1) (* 2.0 h0)) 2.0))) 1.0) 3))
 (cbrt (pow (+ (* (+ h2 h1) (/ (/ (- h1 h2) (+ (+ h2 h1) (* 2.0 h0))) (+ (+ (+ h2 h1) (* 2.0 h0)) 2.0))) 1.0) (/ 3 2)))
 (cbrt (pow (+ (* (+ h2 h1) (/ (/ (- h1 h2) (+ (+ h2 h1) (* 2.0 h0))) (+ (+ (+ h2 h1) (* 2.0 h0)) 2.0))) 1.0) (/ 3 2)))
 (cbrt (pow (+ (pow (* (+ h2 h1) (/ (/ (- h1 h2) (+ (+ h2 h1) (* 2.0 h0))) (+ (+ (+ h2 h1) (* 2.0 h0)) 2.0))) 3) (pow 1.0 3)) 3))
 (cbrt (pow (+ (* (* (+ h2 h1) (/ (/ (- h1 h2) (+ (+ h2 h1) (* 2.0 h0))) (+ (+ (+ h2 h1) (* 2.0 h0)) 2.0))) (* (+ h2 h1) (/ (/ (- h1 h2) (+ (+ h2 h1) (* 2.0 h0))) (+ (+ (+ h2 h1) (* 2.0 h0)) 2.0)))) (- (* 1.0 1.0) (* (* (+ h2 h1) (/ (/ (- h1 h2) (+ (+ h2 h1) (* 2.0 h0))) (+ (+ (+ h2 h1) (* 2.0 h0)) 2.0))) 1.0))) 3))
 (cbrt (pow (- (* (* (+ h2 h1) (/ (/ (- h1 h2) (+ (+ h2 h1) (* 2.0 h0))) (+ (+ (+ h2 h1) (* 2.0 h0)) 2.0))) (* (+ h2 h1) (/ (/ (- h1 h2) (+ (+ h2 h1) (* 2.0 h0))) (+ (+ (+ h2 h1) (* 2.0 h0)) 2.0)))) (* 1.0 1.0)) 3))
 (cbrt (pow (- (* (+ h2 h1) (/ (/ (- h1 h2) (+ (+ h2 h1) (* 2.0 h0))) (+ (+ (+ h2 h1) (* 2.0 h0)) 2.0))) 1.0) 3))
 (* (cbrt (cbrt (pow (+ (* (+ h2 h1) (/ (/ (- h1 h2) (+ (+ h2 h1) (* 2.0 h0))) (+ (+ (+ h2 h1) (* 2.0 h0)) 2.0))) 1.0) 3))) (cbrt (cbrt (pow (+ (* (+ h2 h1) (/ (/ (- h1 h2) (+ (+ h2 h1) (* 2.0 h0))) (+ (+ (+ h2 h1) (* 2.0 h0)) 2.0))) 1.0) 3))))
 (cbrt (cbrt (pow (+ (* (+ h2 h1) (/ (/ (- h1 h2) (+ (+ h2 h1) (* 2.0 h0))) (+ (+ (+ h2 h1) (* 2.0 h0)) 2.0))) 1.0) 3)))
 (* (* (cbrt (pow (+ (* (+ h2 h1) (/ (/ (- h1 h2) (+ (+ h2 h1) (* 2.0 h0))) (+ (+ (+ h2 h1) (* 2.0 h0)) 2.0))) 1.0) 3)) (cbrt (pow (+ (* (+ h2 h1) (/ (/ (- h1 h2) (+ (+ h2 h1) (* 2.0 h0))) (+ (+ (+ h2 h1) (* 2.0 h0)) 2.0))) 1.0) 3))) (cbrt (pow (+ (* (+ h2 h1) (/ (/ (- h1 h2) (+ (+ h2 h1) (* 2.0 h0))) (+ (+ (+ h2 h1) (* 2.0 h0)) 2.0))) 1.0) 3)))
 (sqrt (cbrt (pow (+ (* (+ h2 h1) (/ (/ (- h1 h2) (+ (+ h2 h1) (* 2.0 h0))) (+ (+ (+ h2 h1) (* 2.0 h0)) 2.0))) 1.0) 3)))
 (sqrt (cbrt (pow (+ (* (+ h2 h1) (/ (/ (- h1 h2) (+ (+ h2 h1) (* 2.0 h0))) (+ (+ (+ h2 h1) (* 2.0 h0)) 2.0))) 1.0) 3)))
 (- (* (/ 1.0 4.0) (pow h2 2)) (+ (* (/ 1.0 8.0) (pow h2 3)) (* (/ 1.0 4.0) (pow h1 2))))
 0
 0
 (- (+ 1.0 (* (/ 1.0 4.0) (pow h2 2))) (* (/ 1.0 4.0) (pow h1 2)))
 (- (+ (* 2.0 (/ 1 h2)) (* 8.0 (/ 1 (pow h2 3)))) (* 4.0 (/ 1 (pow h2 2))))
 (- (+ (* 2.0 (/ 1 h2)) (* 8.0 (/ 1 (pow h2 3)))) (* 4.0 (/ 1 (pow h2 2))))
 (- (+ (* (/ 1.0 4.0) h2) (* (/ 1.0 8.0) (pow h1 2))) (* (/ 1.0 4.0) h1))
 0
 0
 (- (+ 1.0 (* (/ 1.0 4.0) (pow h2 2))) (* (/ 1.0 4.0) (pow h1 2)))
 (- (+ (* 2.0 (/ 1 h2)) (* 8.0 (/ 1 (pow h2 3)))) (* 4.0 (/ 1 (pow h2 2))))
 (- (+ (* 2.0 (/ 1 h2)) (* 8.0 (/ 1 (pow h2 3)))) (* 4.0 (/ 1 (pow h2 2))))
8.681 * * * [progress]: adding candidates to table
10.087 * * [progress]: iteration 4 / 4
10.087 * * * [progress]: picking best candidate
10.122 * * * * [pick]: Picked  #<alt (λ (alpha beta i) (/ (* 1 (+ (* (+ alpha beta) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) 1.0)) 2.0))>
10.123 * * * [progress]: localizing error
10.153 * * * [progress]: generating rewritten candidates
10.153 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 2 1)
10.757 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2)
10.901 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2 1 2)
11.202 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2 1 2 1)
11.286 * * * [progress]: generating series expansions
11.286 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 2 1)
11.287 * [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)))))
11.287 * [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
11.287 * [taylor]: Taking taylor expansion of (/ (* (+ alpha beta) (- beta alpha)) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta))))) in i
11.287 * [taylor]: Taking taylor expansion of (* (+ alpha beta) (- beta alpha)) in i
11.287 * [taylor]: Taking taylor expansion of (+ alpha beta) in i
11.287 * [taylor]: Taking taylor expansion of alpha in i
11.287 * [backup-simplify]: Simplify alpha into alpha
11.287 * [taylor]: Taking taylor expansion of beta in i
11.287 * [backup-simplify]: Simplify beta into beta
11.287 * [taylor]: Taking taylor expansion of (- beta alpha) in i
11.287 * [taylor]: Taking taylor expansion of beta in i
11.287 * [backup-simplify]: Simplify beta into beta
11.287 * [taylor]: Taking taylor expansion of alpha in i
11.287 * [backup-simplify]: Simplify alpha into alpha
11.287 * [taylor]: Taking taylor expansion of (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta)))) in i
11.287 * [taylor]: Taking taylor expansion of (+ alpha (+ (* 2.0 i) beta)) in i
11.287 * [taylor]: Taking taylor expansion of alpha in i
11.287 * [backup-simplify]: Simplify alpha into alpha
11.287 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in i
11.287 * [taylor]: Taking taylor expansion of (* 2.0 i) in i
11.287 * [taylor]: Taking taylor expansion of 2.0 in i
11.287 * [backup-simplify]: Simplify 2.0 into 2.0
11.287 * [taylor]: Taking taylor expansion of i in i
11.287 * [backup-simplify]: Simplify 0 into 0
11.287 * [backup-simplify]: Simplify 1 into 1
11.287 * [taylor]: Taking taylor expansion of beta in i
11.287 * [backup-simplify]: Simplify beta into beta
11.287 * [taylor]: Taking taylor expansion of (+ alpha (+ 2.0 (+ (* 2.0 i) beta))) in i
11.287 * [taylor]: Taking taylor expansion of alpha in i
11.287 * [backup-simplify]: Simplify alpha into alpha
11.287 * [taylor]: Taking taylor expansion of (+ 2.0 (+ (* 2.0 i) beta)) in i
11.287 * [taylor]: Taking taylor expansion of 2.0 in i
11.287 * [backup-simplify]: Simplify 2.0 into 2.0
11.287 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in i
11.287 * [taylor]: Taking taylor expansion of (* 2.0 i) in i
11.287 * [taylor]: Taking taylor expansion of 2.0 in i
11.287 * [backup-simplify]: Simplify 2.0 into 2.0
11.287 * [taylor]: Taking taylor expansion of i in i
11.287 * [backup-simplify]: Simplify 0 into 0
11.287 * [backup-simplify]: Simplify 1 into 1
11.287 * [taylor]: Taking taylor expansion of beta in i
11.287 * [backup-simplify]: Simplify beta into beta
11.287 * [backup-simplify]: Simplify (+ alpha beta) into (+ alpha beta)
11.287 * [backup-simplify]: Simplify (- alpha) into (- alpha)
11.287 * [backup-simplify]: Simplify (+ beta (- alpha)) into (- beta alpha)
11.287 * [backup-simplify]: Simplify (* (+ alpha beta) (- beta alpha)) into (* (+ alpha beta) (- beta alpha))
11.288 * [backup-simplify]: Simplify (* 2.0 0) into 0
11.288 * [backup-simplify]: Simplify (+ 0 beta) into beta
11.288 * [backup-simplify]: Simplify (+ alpha beta) into (+ alpha beta)
11.288 * [backup-simplify]: Simplify (* 2.0 0) into 0
11.288 * [backup-simplify]: Simplify (+ 0 beta) into beta
11.288 * [backup-simplify]: Simplify (+ 2.0 beta) into (+ beta 2.0)
11.288 * [backup-simplify]: Simplify (+ alpha (+ beta 2.0)) into (+ alpha (+ beta 2.0))
11.289 * [backup-simplify]: Simplify (* (+ alpha beta) (+ alpha (+ beta 2.0))) into (* (+ alpha beta) (+ alpha (+ beta 2.0)))
11.289 * [backup-simplify]: Simplify (/ (* (+ alpha beta) (- beta alpha)) (* (+ alpha beta) (+ alpha (+ beta 2.0)))) into (/ (- beta alpha) (+ alpha (+ beta 2.0)))
11.289 * [taylor]: Taking taylor expansion of (/ (* (+ alpha beta) (- beta alpha)) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta))))) in beta
11.289 * [taylor]: Taking taylor expansion of (* (+ alpha beta) (- beta alpha)) in beta
11.289 * [taylor]: Taking taylor expansion of (+ alpha beta) in beta
11.289 * [taylor]: Taking taylor expansion of alpha in beta
11.289 * [backup-simplify]: Simplify alpha into alpha
11.289 * [taylor]: Taking taylor expansion of beta in beta
11.289 * [backup-simplify]: Simplify 0 into 0
11.289 * [backup-simplify]: Simplify 1 into 1
11.289 * [taylor]: Taking taylor expansion of (- beta alpha) in beta
11.289 * [taylor]: Taking taylor expansion of beta in beta
11.289 * [backup-simplify]: Simplify 0 into 0
11.289 * [backup-simplify]: Simplify 1 into 1
11.289 * [taylor]: Taking taylor expansion of alpha in beta
11.289 * [backup-simplify]: Simplify alpha into alpha
11.289 * [taylor]: Taking taylor expansion of (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta)))) in beta
11.289 * [taylor]: Taking taylor expansion of (+ alpha (+ (* 2.0 i) beta)) in beta
11.289 * [taylor]: Taking taylor expansion of alpha in beta
11.289 * [backup-simplify]: Simplify alpha into alpha
11.289 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
11.289 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
11.289 * [taylor]: Taking taylor expansion of 2.0 in beta
11.289 * [backup-simplify]: Simplify 2.0 into 2.0
11.289 * [taylor]: Taking taylor expansion of i in beta
11.289 * [backup-simplify]: Simplify i into i
11.289 * [taylor]: Taking taylor expansion of beta in beta
11.289 * [backup-simplify]: Simplify 0 into 0
11.289 * [backup-simplify]: Simplify 1 into 1
11.289 * [taylor]: Taking taylor expansion of (+ alpha (+ 2.0 (+ (* 2.0 i) beta))) in beta
11.289 * [taylor]: Taking taylor expansion of alpha in beta
11.289 * [backup-simplify]: Simplify alpha into alpha
11.289 * [taylor]: Taking taylor expansion of (+ 2.0 (+ (* 2.0 i) beta)) in beta
11.289 * [taylor]: Taking taylor expansion of 2.0 in beta
11.289 * [backup-simplify]: Simplify 2.0 into 2.0
11.289 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
11.289 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
11.289 * [taylor]: Taking taylor expansion of 2.0 in beta
11.289 * [backup-simplify]: Simplify 2.0 into 2.0
11.289 * [taylor]: Taking taylor expansion of i in beta
11.289 * [backup-simplify]: Simplify i into i
11.289 * [taylor]: Taking taylor expansion of beta in beta
11.289 * [backup-simplify]: Simplify 0 into 0
11.289 * [backup-simplify]: Simplify 1 into 1
11.289 * [backup-simplify]: Simplify (+ alpha 0) into alpha
11.289 * [backup-simplify]: Simplify (- alpha) into (- alpha)
11.289 * [backup-simplify]: Simplify (+ 0 (- alpha)) into (- alpha)
11.289 * [backup-simplify]: Simplify (* alpha (- alpha)) into (* -1 (pow alpha 2))
11.290 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
11.290 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
11.290 * [backup-simplify]: Simplify (+ alpha (* 2.0 i)) into (+ alpha (* 2.0 i))
11.290 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
11.290 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
11.290 * [backup-simplify]: Simplify (+ 2.0 (* 2.0 i)) into (+ (* 2.0 i) 2.0)
11.290 * [backup-simplify]: Simplify (+ alpha (+ (* 2.0 i) 2.0)) into (+ alpha (+ (* 2.0 i) 2.0))
11.290 * [backup-simplify]: Simplify (* (+ alpha (* 2.0 i)) (+ alpha (+ (* 2.0 i) 2.0))) into (* (+ alpha (+ (* 2.0 i) 2.0)) (+ alpha (* 2.0 i)))
11.290 * [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)))))
11.290 * [taylor]: Taking taylor expansion of (/ (* (+ alpha beta) (- beta alpha)) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta))))) in alpha
11.290 * [taylor]: Taking taylor expansion of (* (+ alpha beta) (- beta alpha)) in alpha
11.290 * [taylor]: Taking taylor expansion of (+ alpha beta) in alpha
11.290 * [taylor]: Taking taylor expansion of alpha in alpha
11.290 * [backup-simplify]: Simplify 0 into 0
11.290 * [backup-simplify]: Simplify 1 into 1
11.290 * [taylor]: Taking taylor expansion of beta in alpha
11.290 * [backup-simplify]: Simplify beta into beta
11.290 * [taylor]: Taking taylor expansion of (- beta alpha) in alpha
11.290 * [taylor]: Taking taylor expansion of beta in alpha
11.290 * [backup-simplify]: Simplify beta into beta
11.290 * [taylor]: Taking taylor expansion of alpha in alpha
11.290 * [backup-simplify]: Simplify 0 into 0
11.290 * [backup-simplify]: Simplify 1 into 1
11.290 * [taylor]: Taking taylor expansion of (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta)))) in alpha
11.290 * [taylor]: Taking taylor expansion of (+ alpha (+ (* 2.0 i) beta)) in alpha
11.290 * [taylor]: Taking taylor expansion of alpha in alpha
11.291 * [backup-simplify]: Simplify 0 into 0
11.291 * [backup-simplify]: Simplify 1 into 1
11.291 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in alpha
11.291 * [taylor]: Taking taylor expansion of (* 2.0 i) in alpha
11.291 * [taylor]: Taking taylor expansion of 2.0 in alpha
11.291 * [backup-simplify]: Simplify 2.0 into 2.0
11.291 * [taylor]: Taking taylor expansion of i in alpha
11.291 * [backup-simplify]: Simplify i into i
11.291 * [taylor]: Taking taylor expansion of beta in alpha
11.291 * [backup-simplify]: Simplify beta into beta
11.291 * [taylor]: Taking taylor expansion of (+ alpha (+ 2.0 (+ (* 2.0 i) beta))) in alpha
11.291 * [taylor]: Taking taylor expansion of alpha in alpha
11.291 * [backup-simplify]: Simplify 0 into 0
11.291 * [backup-simplify]: Simplify 1 into 1
11.291 * [taylor]: Taking taylor expansion of (+ 2.0 (+ (* 2.0 i) beta)) in alpha
11.291 * [taylor]: Taking taylor expansion of 2.0 in alpha
11.291 * [backup-simplify]: Simplify 2.0 into 2.0
11.291 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in alpha
11.291 * [taylor]: Taking taylor expansion of (* 2.0 i) in alpha
11.291 * [taylor]: Taking taylor expansion of 2.0 in alpha
11.291 * [backup-simplify]: Simplify 2.0 into 2.0
11.291 * [taylor]: Taking taylor expansion of i in alpha
11.291 * [backup-simplify]: Simplify i into i
11.291 * [taylor]: Taking taylor expansion of beta in alpha
11.291 * [backup-simplify]: Simplify beta into beta
11.291 * [backup-simplify]: Simplify (+ 0 beta) into beta
11.291 * [backup-simplify]: Simplify (- 0) into 0
11.291 * [backup-simplify]: Simplify (+ beta 0) into beta
11.291 * [backup-simplify]: Simplify (* beta beta) into (pow beta 2)
11.291 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
11.291 * [backup-simplify]: Simplify (+ (* 2.0 i) beta) into (+ (* 2.0 i) beta)
11.291 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 i) beta)) into (+ (* 2.0 i) beta)
11.291 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
11.292 * [backup-simplify]: Simplify (+ (* 2.0 i) beta) into (+ (* 2.0 i) beta)
11.292 * [backup-simplify]: Simplify (+ 2.0 (+ (* 2.0 i) beta)) into (+ (* 2.0 i) (+ beta 2.0))
11.292 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 i) (+ beta 2.0))) into (+ (* 2.0 i) (+ beta 2.0))
11.292 * [backup-simplify]: Simplify (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0))) into (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))
11.292 * [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))))
11.292 * [taylor]: Taking taylor expansion of (/ (* (+ alpha beta) (- beta alpha)) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta))))) in alpha
11.292 * [taylor]: Taking taylor expansion of (* (+ alpha beta) (- beta alpha)) in alpha
11.292 * [taylor]: Taking taylor expansion of (+ alpha beta) in alpha
11.292 * [taylor]: Taking taylor expansion of alpha in alpha
11.292 * [backup-simplify]: Simplify 0 into 0
11.292 * [backup-simplify]: Simplify 1 into 1
11.292 * [taylor]: Taking taylor expansion of beta in alpha
11.292 * [backup-simplify]: Simplify beta into beta
11.292 * [taylor]: Taking taylor expansion of (- beta alpha) in alpha
11.292 * [taylor]: Taking taylor expansion of beta in alpha
11.292 * [backup-simplify]: Simplify beta into beta
11.292 * [taylor]: Taking taylor expansion of alpha in alpha
11.292 * [backup-simplify]: Simplify 0 into 0
11.292 * [backup-simplify]: Simplify 1 into 1
11.292 * [taylor]: Taking taylor expansion of (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta)))) in alpha
11.292 * [taylor]: Taking taylor expansion of (+ alpha (+ (* 2.0 i) beta)) in alpha
11.292 * [taylor]: Taking taylor expansion of alpha in alpha
11.292 * [backup-simplify]: Simplify 0 into 0
11.292 * [backup-simplify]: Simplify 1 into 1
11.292 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in alpha
11.292 * [taylor]: Taking taylor expansion of (* 2.0 i) in alpha
11.292 * [taylor]: Taking taylor expansion of 2.0 in alpha
11.292 * [backup-simplify]: Simplify 2.0 into 2.0
11.292 * [taylor]: Taking taylor expansion of i in alpha
11.292 * [backup-simplify]: Simplify i into i
11.292 * [taylor]: Taking taylor expansion of beta in alpha
11.292 * [backup-simplify]: Simplify beta into beta
11.292 * [taylor]: Taking taylor expansion of (+ alpha (+ 2.0 (+ (* 2.0 i) beta))) in alpha
11.292 * [taylor]: Taking taylor expansion of alpha in alpha
11.292 * [backup-simplify]: Simplify 0 into 0
11.293 * [backup-simplify]: Simplify 1 into 1
11.293 * [taylor]: Taking taylor expansion of (+ 2.0 (+ (* 2.0 i) beta)) in alpha
11.293 * [taylor]: Taking taylor expansion of 2.0 in alpha
11.293 * [backup-simplify]: Simplify 2.0 into 2.0
11.293 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in alpha
11.293 * [taylor]: Taking taylor expansion of (* 2.0 i) in alpha
11.293 * [taylor]: Taking taylor expansion of 2.0 in alpha
11.293 * [backup-simplify]: Simplify 2.0 into 2.0
11.293 * [taylor]: Taking taylor expansion of i in alpha
11.293 * [backup-simplify]: Simplify i into i
11.293 * [taylor]: Taking taylor expansion of beta in alpha
11.293 * [backup-simplify]: Simplify beta into beta
11.293 * [backup-simplify]: Simplify (+ 0 beta) into beta
11.293 * [backup-simplify]: Simplify (- 0) into 0
11.293 * [backup-simplify]: Simplify (+ beta 0) into beta
11.293 * [backup-simplify]: Simplify (* beta beta) into (pow beta 2)
11.293 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
11.293 * [backup-simplify]: Simplify (+ (* 2.0 i) beta) into (+ (* 2.0 i) beta)
11.293 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 i) beta)) into (+ (* 2.0 i) beta)
11.293 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
11.293 * [backup-simplify]: Simplify (+ (* 2.0 i) beta) into (+ (* 2.0 i) beta)
11.293 * [backup-simplify]: Simplify (+ 2.0 (+ (* 2.0 i) beta)) into (+ (* 2.0 i) (+ beta 2.0))
11.293 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 i) (+ beta 2.0))) into (+ (* 2.0 i) (+ beta 2.0))
11.294 * [backup-simplify]: Simplify (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0))) into (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))
11.294 * [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))))
11.294 * [taylor]: Taking taylor expansion of (/ (pow beta 2) (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))) in beta
11.294 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
11.294 * [taylor]: Taking taylor expansion of beta in beta
11.294 * [backup-simplify]: Simplify 0 into 0
11.294 * [backup-simplify]: Simplify 1 into 1
11.294 * [taylor]: Taking taylor expansion of (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0))) in beta
11.294 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
11.294 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
11.294 * [taylor]: Taking taylor expansion of 2.0 in beta
11.294 * [backup-simplify]: Simplify 2.0 into 2.0
11.294 * [taylor]: Taking taylor expansion of i in beta
11.294 * [backup-simplify]: Simplify i into i
11.294 * [taylor]: Taking taylor expansion of beta in beta
11.294 * [backup-simplify]: Simplify 0 into 0
11.294 * [backup-simplify]: Simplify 1 into 1
11.294 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
11.294 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
11.294 * [taylor]: Taking taylor expansion of 2.0 in beta
11.294 * [backup-simplify]: Simplify 2.0 into 2.0
11.294 * [taylor]: Taking taylor expansion of i in beta
11.294 * [backup-simplify]: Simplify i into i
11.294 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
11.294 * [taylor]: Taking taylor expansion of beta in beta
11.294 * [backup-simplify]: Simplify 0 into 0
11.294 * [backup-simplify]: Simplify 1 into 1
11.294 * [taylor]: Taking taylor expansion of 2.0 in beta
11.294 * [backup-simplify]: Simplify 2.0 into 2.0
11.295 * [backup-simplify]: Simplify (* 1 1) into 1
11.295 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
11.295 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
11.295 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
11.295 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
11.295 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
11.295 * [backup-simplify]: Simplify (* (* 2.0 i) (+ (* 2.0 i) 2.0)) into (* 2.0 (* i (+ (* 2.0 i) 2.0)))
11.295 * [backup-simplify]: Simplify (/ 1 (* 2.0 (* i (+ (* 2.0 i) 2.0)))) into (/ 0.5 (* i (+ (* 2.0 i) 2.0)))
11.296 * [backup-simplify]: Simplify (- 1) into -1
11.296 * [backup-simplify]: Simplify (+ 0 -1) into -1
11.296 * [backup-simplify]: Simplify (+ 1 0) into 1
11.296 * [backup-simplify]: Simplify (+ (* beta -1) (* 1 beta)) into 0
11.297 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 i)) into 0
11.297 * [backup-simplify]: Simplify (+ 0 0) into 0
11.297 * [backup-simplify]: Simplify (+ 0 0) into 0
11.297 * [backup-simplify]: Simplify (+ 1 0) into 1
11.298 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 i)) into 0
11.298 * [backup-simplify]: Simplify (+ 0 0) into 0
11.298 * [backup-simplify]: Simplify (+ 1 0) into 1
11.298 * [backup-simplify]: Simplify (+ (* (+ (* 2.0 i) beta) 1) (* 1 (+ (* 2.0 i) (+ beta 2.0)))) into (+ 2.0 (+ (* 4.0 i) (* 2 beta)))
11.299 * [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)))))))
11.299 * [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
11.299 * [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
11.299 * [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
11.299 * [taylor]: Taking taylor expansion of 2.0 in beta
11.299 * [backup-simplify]: Simplify 2.0 into 2.0
11.299 * [taylor]: Taking taylor expansion of (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2))) in beta
11.300 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
11.300 * [taylor]: Taking taylor expansion of beta in beta
11.300 * [backup-simplify]: Simplify 0 into 0
11.300 * [backup-simplify]: Simplify 1 into 1
11.300 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)) in beta
11.300 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 2) in beta
11.300 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
11.300 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
11.300 * [taylor]: Taking taylor expansion of 2.0 in beta
11.300 * [backup-simplify]: Simplify 2.0 into 2.0
11.300 * [taylor]: Taking taylor expansion of i in beta
11.300 * [backup-simplify]: Simplify i into i
11.300 * [taylor]: Taking taylor expansion of beta in beta
11.300 * [backup-simplify]: Simplify 0 into 0
11.300 * [backup-simplify]: Simplify 1 into 1
11.300 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
11.300 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
11.300 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 2) in beta
11.300 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
11.300 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
11.300 * [taylor]: Taking taylor expansion of 2.0 in beta
11.300 * [backup-simplify]: Simplify 2.0 into 2.0
11.300 * [taylor]: Taking taylor expansion of i in beta
11.300 * [backup-simplify]: Simplify i into i
11.300 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
11.300 * [taylor]: Taking taylor expansion of beta in beta
11.300 * [backup-simplify]: Simplify 0 into 0
11.300 * [backup-simplify]: Simplify 1 into 1
11.300 * [taylor]: Taking taylor expansion of 2.0 in beta
11.301 * [backup-simplify]: Simplify 2.0 into 2.0
11.301 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
11.301 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
11.301 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
11.302 * [backup-simplify]: Simplify (* 1 1) into 1
11.302 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
11.302 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
11.302 * [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)))
11.303 * [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)))
11.303 * [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
11.303 * [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
11.303 * [taylor]: Taking taylor expansion of 4.0 in beta
11.303 * [backup-simplify]: Simplify 4.0 into 4.0
11.303 * [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
11.303 * [taylor]: Taking taylor expansion of (* i (pow beta 2)) in beta
11.303 * [taylor]: Taking taylor expansion of i in beta
11.303 * [backup-simplify]: Simplify i into i
11.303 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
11.303 * [taylor]: Taking taylor expansion of beta in beta
11.303 * [backup-simplify]: Simplify 0 into 0
11.303 * [backup-simplify]: Simplify 1 into 1
11.303 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)) in beta
11.303 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 2) in beta
11.303 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
11.303 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
11.303 * [taylor]: Taking taylor expansion of 2.0 in beta
11.303 * [backup-simplify]: Simplify 2.0 into 2.0
11.303 * [taylor]: Taking taylor expansion of i in beta
11.303 * [backup-simplify]: Simplify i into i
11.303 * [taylor]: Taking taylor expansion of beta in beta
11.303 * [backup-simplify]: Simplify 0 into 0
11.303 * [backup-simplify]: Simplify 1 into 1
11.304 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
11.304 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
11.304 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 2) in beta
11.304 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
11.304 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
11.304 * [taylor]: Taking taylor expansion of 2.0 in beta
11.304 * [backup-simplify]: Simplify 2.0 into 2.0
11.304 * [taylor]: Taking taylor expansion of i in beta
11.304 * [backup-simplify]: Simplify i into i
11.304 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
11.304 * [taylor]: Taking taylor expansion of beta in beta
11.304 * [backup-simplify]: Simplify 0 into 0
11.304 * [backup-simplify]: Simplify 1 into 1
11.304 * [taylor]: Taking taylor expansion of 2.0 in beta
11.304 * [backup-simplify]: Simplify 2.0 into 2.0
11.304 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
11.305 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
11.305 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
11.305 * [backup-simplify]: Simplify (* 1 1) into 1
11.306 * [backup-simplify]: Simplify (* i 1) into i
11.306 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
11.306 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
11.306 * [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)))
11.307 * [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)))
11.307 * [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
11.307 * [taylor]: Taking taylor expansion of 2 in beta
11.307 * [backup-simplify]: Simplify 2 into 2
11.307 * [taylor]: Taking taylor expansion of (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2))) in beta
11.307 * [taylor]: Taking taylor expansion of (pow beta 3) in beta
11.307 * [taylor]: Taking taylor expansion of beta in beta
11.307 * [backup-simplify]: Simplify 0 into 0
11.307 * [backup-simplify]: Simplify 1 into 1
11.307 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)) in beta
11.307 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 2) in beta
11.307 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
11.307 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
11.307 * [taylor]: Taking taylor expansion of 2.0 in beta
11.307 * [backup-simplify]: Simplify 2.0 into 2.0
11.307 * [taylor]: Taking taylor expansion of i in beta
11.307 * [backup-simplify]: Simplify i into i
11.307 * [taylor]: Taking taylor expansion of beta in beta
11.307 * [backup-simplify]: Simplify 0 into 0
11.307 * [backup-simplify]: Simplify 1 into 1
11.307 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
11.307 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
11.307 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 2) in beta
11.307 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
11.307 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
11.308 * [taylor]: Taking taylor expansion of 2.0 in beta
11.308 * [backup-simplify]: Simplify 2.0 into 2.0
11.308 * [taylor]: Taking taylor expansion of i in beta
11.308 * [backup-simplify]: Simplify i into i
11.308 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
11.308 * [taylor]: Taking taylor expansion of beta in beta
11.308 * [backup-simplify]: Simplify 0 into 0
11.308 * [backup-simplify]: Simplify 1 into 1
11.308 * [taylor]: Taking taylor expansion of 2.0 in beta
11.308 * [backup-simplify]: Simplify 2.0 into 2.0
11.308 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
11.308 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
11.308 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
11.309 * [backup-simplify]: Simplify (* 1 1) into 1
11.309 * [backup-simplify]: Simplify (* 1 1) into 1
11.309 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
11.309 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
11.310 * [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)))
11.310 * [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)))
11.311 * [backup-simplify]: Simplify (- 0) into 0
11.311 * [backup-simplify]: Simplify (+ 0 0) into 0
11.311 * [backup-simplify]: Simplify (+ 0 0) into 0
11.312 * [backup-simplify]: Simplify (+ (* beta 0) (+ (* 1 -1) (* 0 beta))) into (- 1)
11.313 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 i))) into 0
11.313 * [backup-simplify]: Simplify (+ 0 0) into 0
11.314 * [backup-simplify]: Simplify (+ 0 0) into 0
11.314 * [backup-simplify]: Simplify (+ 0 0) into 0
11.315 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 i))) into 0
11.315 * [backup-simplify]: Simplify (+ 0 0) into 0
11.316 * [backup-simplify]: Simplify (+ 0 0) into 0
11.316 * [backup-simplify]: Simplify (+ (* (+ (* 2.0 i) beta) 0) (+ (* 1 1) (* 0 (+ (* 2.0 i) (+ beta 2.0))))) into 1
11.324 * [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)))))
11.324 * [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
11.324 * [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
11.324 * [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
11.324 * [taylor]: Taking taylor expansion of 8.0 in beta
11.324 * [backup-simplify]: Simplify 8.0 into 8.0
11.325 * [taylor]: Taking taylor expansion of (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3))) in beta
11.325 * [taylor]: Taking taylor expansion of (pow beta 3) in beta
11.325 * [taylor]: Taking taylor expansion of beta in beta
11.325 * [backup-simplify]: Simplify 0 into 0
11.325 * [backup-simplify]: Simplify 1 into 1
11.325 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)) in beta
11.325 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 3) in beta
11.325 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
11.325 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
11.325 * [taylor]: Taking taylor expansion of 2.0 in beta
11.325 * [backup-simplify]: Simplify 2.0 into 2.0
11.325 * [taylor]: Taking taylor expansion of i in beta
11.325 * [backup-simplify]: Simplify i into i
11.325 * [taylor]: Taking taylor expansion of beta in beta
11.325 * [backup-simplify]: Simplify 0 into 0
11.325 * [backup-simplify]: Simplify 1 into 1
11.325 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
11.325 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
11.325 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 3) in beta
11.325 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
11.325 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
11.325 * [taylor]: Taking taylor expansion of 2.0 in beta
11.325 * [backup-simplify]: Simplify 2.0 into 2.0
11.325 * [taylor]: Taking taylor expansion of i in beta
11.325 * [backup-simplify]: Simplify i into i
11.325 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
11.326 * [taylor]: Taking taylor expansion of beta in beta
11.326 * [backup-simplify]: Simplify 0 into 0
11.326 * [backup-simplify]: Simplify 1 into 1
11.326 * [taylor]: Taking taylor expansion of 2.0 in beta
11.326 * [backup-simplify]: Simplify 2.0 into 2.0
11.326 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
11.326 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
11.326 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
11.327 * [backup-simplify]: Simplify (* 1 1) into 1
11.328 * [backup-simplify]: Simplify (* 1 1) into 1
11.328 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
11.328 * [backup-simplify]: Simplify (* (* 2.0 i) (* 4.0 (pow i 2))) into (* 8.0 (pow i 3))
11.328 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
11.328 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (pow (+ (* 2.0 i) 2.0) 2)) into (pow (+ (* 2.0 i) 2.0) 3)
11.329 * [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)))
11.329 * [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)))
11.329 * [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
11.329 * [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
11.329 * [taylor]: Taking taylor expansion of 16.0 in beta
11.329 * [backup-simplify]: Simplify 16.0 into 16.0
11.329 * [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
11.330 * [taylor]: Taking taylor expansion of (* (pow i 2) (pow beta 2)) in beta
11.330 * [taylor]: Taking taylor expansion of (pow i 2) in beta
11.330 * [taylor]: Taking taylor expansion of i in beta
11.330 * [backup-simplify]: Simplify i into i
11.330 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
11.330 * [taylor]: Taking taylor expansion of beta in beta
11.330 * [backup-simplify]: Simplify 0 into 0
11.330 * [backup-simplify]: Simplify 1 into 1
11.330 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)) in beta
11.330 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 3) in beta
11.330 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
11.330 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
11.330 * [taylor]: Taking taylor expansion of 2.0 in beta
11.330 * [backup-simplify]: Simplify 2.0 into 2.0
11.330 * [taylor]: Taking taylor expansion of i in beta
11.330 * [backup-simplify]: Simplify i into i
11.330 * [taylor]: Taking taylor expansion of beta in beta
11.330 * [backup-simplify]: Simplify 0 into 0
11.330 * [backup-simplify]: Simplify 1 into 1
11.330 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
11.330 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
11.330 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 3) in beta
11.330 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
11.330 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
11.330 * [taylor]: Taking taylor expansion of 2.0 in beta
11.330 * [backup-simplify]: Simplify 2.0 into 2.0
11.330 * [taylor]: Taking taylor expansion of i in beta
11.330 * [backup-simplify]: Simplify i into i
11.330 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
11.331 * [taylor]: Taking taylor expansion of beta in beta
11.331 * [backup-simplify]: Simplify 0 into 0
11.331 * [backup-simplify]: Simplify 1 into 1
11.331 * [taylor]: Taking taylor expansion of 2.0 in beta
11.331 * [backup-simplify]: Simplify 2.0 into 2.0
11.331 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
11.331 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
11.331 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
11.331 * [backup-simplify]: Simplify (* i i) into (pow i 2)
11.332 * [backup-simplify]: Simplify (* 1 1) into 1
11.332 * [backup-simplify]: Simplify (* (pow i 2) 1) into (pow i 2)
11.332 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
11.332 * [backup-simplify]: Simplify (* (* 2.0 i) (* 4.0 (pow i 2))) into (* 8.0 (pow i 3))
11.332 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
11.333 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (pow (+ (* 2.0 i) 2.0) 2)) into (pow (+ (* 2.0 i) 2.0) 3)
11.333 * [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)))
11.333 * [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)))
11.334 * [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
11.334 * [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
11.334 * [taylor]: Taking taylor expansion of 4 in beta
11.334 * [backup-simplify]: Simplify 4 into 4
11.334 * [taylor]: Taking taylor expansion of (/ (pow beta 4) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3))) in beta
11.334 * [taylor]: Taking taylor expansion of (pow beta 4) in beta
11.334 * [taylor]: Taking taylor expansion of beta in beta
11.334 * [backup-simplify]: Simplify 0 into 0
11.334 * [backup-simplify]: Simplify 1 into 1
11.334 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)) in beta
11.334 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 3) in beta
11.334 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
11.334 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
11.334 * [taylor]: Taking taylor expansion of 2.0 in beta
11.334 * [backup-simplify]: Simplify 2.0 into 2.0
11.334 * [taylor]: Taking taylor expansion of i in beta
11.334 * [backup-simplify]: Simplify i into i
11.334 * [taylor]: Taking taylor expansion of beta in beta
11.334 * [backup-simplify]: Simplify 0 into 0
11.334 * [backup-simplify]: Simplify 1 into 1
11.334 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
11.334 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
11.334 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 3) in beta
11.334 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
11.334 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
11.334 * [taylor]: Taking taylor expansion of 2.0 in beta
11.334 * [backup-simplify]: Simplify 2.0 into 2.0
11.335 * [taylor]: Taking taylor expansion of i in beta
11.335 * [backup-simplify]: Simplify i into i
11.335 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
11.335 * [taylor]: Taking taylor expansion of beta in beta
11.335 * [backup-simplify]: Simplify 0 into 0
11.335 * [backup-simplify]: Simplify 1 into 1
11.335 * [taylor]: Taking taylor expansion of 2.0 in beta
11.335 * [backup-simplify]: Simplify 2.0 into 2.0
11.335 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
11.335 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
11.335 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
11.336 * [backup-simplify]: Simplify (* 1 1) into 1
11.336 * [backup-simplify]: Simplify (* 1 1) into 1
11.336 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
11.337 * [backup-simplify]: Simplify (* (* 2.0 i) (* 4.0 (pow i 2))) into (* 8.0 (pow i 3))
11.337 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
11.337 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (pow (+ (* 2.0 i) 2.0) 2)) into (pow (+ (* 2.0 i) 2.0) 3)
11.337 * [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)))
11.338 * [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)))
11.338 * [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
11.338 * [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
11.338 * [taylor]: Taking taylor expansion of 16.0 in beta
11.338 * [backup-simplify]: Simplify 16.0 into 16.0
11.338 * [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
11.338 * [taylor]: Taking taylor expansion of (* i (pow beta 3)) in beta
11.338 * [taylor]: Taking taylor expansion of i in beta
11.338 * [backup-simplify]: Simplify i into i
11.338 * [taylor]: Taking taylor expansion of (pow beta 3) in beta
11.338 * [taylor]: Taking taylor expansion of beta in beta
11.338 * [backup-simplify]: Simplify 0 into 0
11.338 * [backup-simplify]: Simplify 1 into 1
11.338 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)) in beta
11.338 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 3) in beta
11.338 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
11.338 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
11.338 * [taylor]: Taking taylor expansion of 2.0 in beta
11.338 * [backup-simplify]: Simplify 2.0 into 2.0
11.338 * [taylor]: Taking taylor expansion of i in beta
11.338 * [backup-simplify]: Simplify i into i
11.338 * [taylor]: Taking taylor expansion of beta in beta
11.338 * [backup-simplify]: Simplify 0 into 0
11.338 * [backup-simplify]: Simplify 1 into 1
11.338 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
11.339 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
11.339 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 3) in beta
11.339 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
11.339 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
11.339 * [taylor]: Taking taylor expansion of 2.0 in beta
11.339 * [backup-simplify]: Simplify 2.0 into 2.0
11.339 * [taylor]: Taking taylor expansion of i in beta
11.339 * [backup-simplify]: Simplify i into i
11.339 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
11.339 * [taylor]: Taking taylor expansion of beta in beta
11.339 * [backup-simplify]: Simplify 0 into 0
11.339 * [backup-simplify]: Simplify 1 into 1
11.339 * [taylor]: Taking taylor expansion of 2.0 in beta
11.339 * [backup-simplify]: Simplify 2.0 into 2.0
11.339 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
11.340 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
11.340 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
11.340 * [backup-simplify]: Simplify (* 1 1) into 1
11.340 * [backup-simplify]: Simplify (* 1 1) into 1
11.340 * [backup-simplify]: Simplify (* i 1) into i
11.341 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
11.341 * [backup-simplify]: Simplify (* (* 2.0 i) (* 4.0 (pow i 2))) into (* 8.0 (pow i 3))
11.341 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
11.341 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (pow (+ (* 2.0 i) 2.0) 2)) into (pow (+ (* 2.0 i) 2.0) 3)
11.342 * [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)))
11.342 * [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)))
11.342 * [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
11.342 * [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
11.342 * [taylor]: Taking taylor expansion of 16.0 in beta
11.342 * [backup-simplify]: Simplify 16.0 into 16.0
11.342 * [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
11.342 * [taylor]: Taking taylor expansion of (* i (pow beta 2)) in beta
11.342 * [taylor]: Taking taylor expansion of i in beta
11.342 * [backup-simplify]: Simplify i into i
11.342 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
11.342 * [taylor]: Taking taylor expansion of beta in beta
11.342 * [backup-simplify]: Simplify 0 into 0
11.342 * [backup-simplify]: Simplify 1 into 1
11.342 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)) in beta
11.342 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 3) in beta
11.342 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
11.343 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
11.343 * [taylor]: Taking taylor expansion of 2.0 in beta
11.343 * [backup-simplify]: Simplify 2.0 into 2.0
11.343 * [taylor]: Taking taylor expansion of i in beta
11.343 * [backup-simplify]: Simplify i into i
11.343 * [taylor]: Taking taylor expansion of beta in beta
11.343 * [backup-simplify]: Simplify 0 into 0
11.343 * [backup-simplify]: Simplify 1 into 1
11.343 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
11.343 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
11.343 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 3) in beta
11.343 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
11.343 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
11.343 * [taylor]: Taking taylor expansion of 2.0 in beta
11.343 * [backup-simplify]: Simplify 2.0 into 2.0
11.343 * [taylor]: Taking taylor expansion of i in beta
11.343 * [backup-simplify]: Simplify i into i
11.343 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
11.343 * [taylor]: Taking taylor expansion of beta in beta
11.343 * [backup-simplify]: Simplify 0 into 0
11.343 * [backup-simplify]: Simplify 1 into 1
11.343 * [taylor]: Taking taylor expansion of 2.0 in beta
11.343 * [backup-simplify]: Simplify 2.0 into 2.0
11.343 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
11.344 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
11.344 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
11.344 * [backup-simplify]: Simplify (* 1 1) into 1
11.344 * [backup-simplify]: Simplify (* i 1) into i
11.344 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
11.344 * [backup-simplify]: Simplify (* (* 2.0 i) (* 4.0 (pow i 2))) into (* 8.0 (pow i 3))
11.344 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
11.345 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (pow (+ (* 2.0 i) 2.0) 2)) into (pow (+ (* 2.0 i) 2.0) 3)
11.345 * [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)))
11.345 * [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)))
11.345 * [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
11.345 * [taylor]: Taking taylor expansion of 4.0 in beta
11.345 * [backup-simplify]: Simplify 4.0 into 4.0
11.345 * [taylor]: Taking taylor expansion of (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3))) in beta
11.345 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
11.345 * [taylor]: Taking taylor expansion of beta in beta
11.345 * [backup-simplify]: Simplify 0 into 0
11.345 * [backup-simplify]: Simplify 1 into 1
11.345 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)) in beta
11.345 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 3) in beta
11.345 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
11.345 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
11.345 * [taylor]: Taking taylor expansion of 2.0 in beta
11.345 * [backup-simplify]: Simplify 2.0 into 2.0
11.345 * [taylor]: Taking taylor expansion of i in beta
11.345 * [backup-simplify]: Simplify i into i
11.345 * [taylor]: Taking taylor expansion of beta in beta
11.345 * [backup-simplify]: Simplify 0 into 0
11.345 * [backup-simplify]: Simplify 1 into 1
11.345 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
11.345 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
11.345 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 3) in beta
11.345 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
11.345 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
11.345 * [taylor]: Taking taylor expansion of 2.0 in beta
11.345 * [backup-simplify]: Simplify 2.0 into 2.0
11.345 * [taylor]: Taking taylor expansion of i in beta
11.345 * [backup-simplify]: Simplify i into i
11.345 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
11.346 * [taylor]: Taking taylor expansion of beta in beta
11.346 * [backup-simplify]: Simplify 0 into 0
11.346 * [backup-simplify]: Simplify 1 into 1
11.346 * [taylor]: Taking taylor expansion of 2.0 in beta
11.346 * [backup-simplify]: Simplify 2.0 into 2.0
11.346 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
11.346 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
11.346 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
11.346 * [backup-simplify]: Simplify (* 1 1) into 1
11.346 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
11.346 * [backup-simplify]: Simplify (* (* 2.0 i) (* 4.0 (pow i 2))) into (* 8.0 (pow i 3))
11.347 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
11.347 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (pow (+ (* 2.0 i) 2.0) 2)) into (pow (+ (* 2.0 i) 2.0) 3)
11.347 * [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)))
11.347 * [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)))
11.347 * [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
11.347 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))) in beta
11.347 * [taylor]: Taking taylor expansion of (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0))) in beta
11.347 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
11.347 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
11.347 * [taylor]: Taking taylor expansion of 2.0 in beta
11.347 * [backup-simplify]: Simplify 2.0 into 2.0
11.347 * [taylor]: Taking taylor expansion of i in beta
11.347 * [backup-simplify]: Simplify i into i
11.347 * [taylor]: Taking taylor expansion of beta in beta
11.347 * [backup-simplify]: Simplify 0 into 0
11.347 * [backup-simplify]: Simplify 1 into 1
11.347 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
11.347 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
11.347 * [taylor]: Taking taylor expansion of 2.0 in beta
11.347 * [backup-simplify]: Simplify 2.0 into 2.0
11.347 * [taylor]: Taking taylor expansion of i in beta
11.347 * [backup-simplify]: Simplify i into i
11.347 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
11.347 * [taylor]: Taking taylor expansion of beta in beta
11.347 * [backup-simplify]: Simplify 0 into 0
11.347 * [backup-simplify]: Simplify 1 into 1
11.347 * [taylor]: Taking taylor expansion of 2.0 in beta
11.347 * [backup-simplify]: Simplify 2.0 into 2.0
11.348 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
11.348 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
11.348 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
11.348 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
11.348 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
11.348 * [backup-simplify]: Simplify (* (* 2.0 i) (+ (* 2.0 i) 2.0)) into (* 2.0 (* i (+ (* 2.0 i) 2.0)))
11.348 * [backup-simplify]: Simplify (/ 1 (* 2.0 (* i (+ (* 2.0 i) 2.0)))) into (/ 0.5 (* i (+ (* 2.0 i) 2.0)))
11.348 * [taylor]: Taking taylor expansion of (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2))) in beta
11.348 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
11.348 * [taylor]: Taking taylor expansion of beta in beta
11.348 * [backup-simplify]: Simplify 0 into 0
11.348 * [backup-simplify]: Simplify 1 into 1
11.348 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)) in beta
11.348 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 2) in beta
11.348 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
11.348 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
11.348 * [taylor]: Taking taylor expansion of 2.0 in beta
11.348 * [backup-simplify]: Simplify 2.0 into 2.0
11.348 * [taylor]: Taking taylor expansion of i in beta
11.348 * [backup-simplify]: Simplify i into i
11.348 * [taylor]: Taking taylor expansion of beta in beta
11.348 * [backup-simplify]: Simplify 0 into 0
11.348 * [backup-simplify]: Simplify 1 into 1
11.348 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
11.349 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
11.349 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 2) in beta
11.349 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
11.349 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
11.349 * [taylor]: Taking taylor expansion of 2.0 in beta
11.349 * [backup-simplify]: Simplify 2.0 into 2.0
11.349 * [taylor]: Taking taylor expansion of i in beta
11.349 * [backup-simplify]: Simplify i into i
11.349 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
11.349 * [taylor]: Taking taylor expansion of beta in beta
11.349 * [backup-simplify]: Simplify 0 into 0
11.349 * [backup-simplify]: Simplify 1 into 1
11.349 * [taylor]: Taking taylor expansion of 2.0 in beta
11.349 * [backup-simplify]: Simplify 2.0 into 2.0
11.349 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
11.349 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
11.349 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
11.349 * [backup-simplify]: Simplify (* 1 1) into 1
11.349 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
11.350 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
11.350 * [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)))
11.350 * [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)))
11.350 * [backup-simplify]: Simplify (+ (/ 0.5 (* i (+ (* 2.0 i) 2.0))) 0) into (* 0.5 (/ 1 (* i (+ (* 2.0 i) 2.0))))
11.350 * [backup-simplify]: Simplify (- (* 0.5 (/ 1 (* i (+ (* 2.0 i) 2.0))))) into (- (* 0.5 (/ 1 (* i (+ (* 2.0 i) 2.0)))))
11.350 * [backup-simplify]: Simplify (+ 0 (- (* 0.5 (/ 1 (* i (+ (* 2.0 i) 2.0)))))) into (- (* 0.5 (/ 1 (* i (+ (* 2.0 i) 2.0)))))
11.350 * [taylor]: Taking taylor expansion of (- (* 0.5 (/ 1 (* i (+ (* 2.0 i) 2.0))))) in i
11.350 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (* i (+ (* 2.0 i) 2.0)))) in i
11.350 * [taylor]: Taking taylor expansion of 0.5 in i
11.350 * [backup-simplify]: Simplify 0.5 into 0.5
11.350 * [taylor]: Taking taylor expansion of (/ 1 (* i (+ (* 2.0 i) 2.0))) in i
11.350 * [taylor]: Taking taylor expansion of (* i (+ (* 2.0 i) 2.0)) in i
11.351 * [taylor]: Taking taylor expansion of i in i
11.351 * [backup-simplify]: Simplify 0 into 0
11.351 * [backup-simplify]: Simplify 1 into 1
11.351 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) 2.0) in i
11.351 * [taylor]: Taking taylor expansion of (* 2.0 i) in i
11.351 * [taylor]: Taking taylor expansion of 2.0 in i
11.351 * [backup-simplify]: Simplify 2.0 into 2.0
11.351 * [taylor]: Taking taylor expansion of i in i
11.351 * [backup-simplify]: Simplify 0 into 0
11.351 * [backup-simplify]: Simplify 1 into 1
11.351 * [taylor]: Taking taylor expansion of 2.0 in i
11.351 * [backup-simplify]: Simplify 2.0 into 2.0
11.351 * [backup-simplify]: Simplify (* 2.0 0) into 0
11.351 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
11.351 * [backup-simplify]: Simplify (* 0 2.0) into 0
11.352 * [backup-simplify]: Simplify (+ (* 2.0 1) (* 0 0)) into 2.0
11.353 * [backup-simplify]: Simplify (+ 2.0 0) into 2.0
11.354 * [backup-simplify]: Simplify (+ (* 0 2.0) (* 1 2.0)) into 2.0
11.354 * [backup-simplify]: Simplify (/ 1 2.0) into 0.5
11.354 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 1) (* 0 0))) into 0
11.355 * [backup-simplify]: Simplify (+ 0 0) into 0
11.356 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 2.0) (* 0 2.0))) into 2.0
11.358 * [backup-simplify]: Simplify (- (+ (* 0.5 (/ 2.0 2.0)))) into (- 0.5)
11.359 * [backup-simplify]: Simplify (+ (* 0.5 (- 0.5)) (* 0 0.5)) into (- 0.25)
11.359 * [backup-simplify]: Simplify (- (- 0.25)) into 0.25
11.359 * [backup-simplify]: Simplify 0.25 into 0.25
11.359 * [taylor]: Taking taylor expansion of (/ 0.5 (* i (+ (* 2.0 i) 2.0))) in i
11.359 * [taylor]: Taking taylor expansion of 0.5 in i
11.359 * [backup-simplify]: Simplify 0.5 into 0.5
11.359 * [taylor]: Taking taylor expansion of (* i (+ (* 2.0 i) 2.0)) in i
11.359 * [taylor]: Taking taylor expansion of i in i
11.359 * [backup-simplify]: Simplify 0 into 0
11.359 * [backup-simplify]: Simplify 1 into 1
11.359 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) 2.0) in i
11.359 * [taylor]: Taking taylor expansion of (* 2.0 i) in i
11.359 * [taylor]: Taking taylor expansion of 2.0 in i
11.360 * [backup-simplify]: Simplify 2.0 into 2.0
11.360 * [taylor]: Taking taylor expansion of i in i
11.360 * [backup-simplify]: Simplify 0 into 0
11.360 * [backup-simplify]: Simplify 1 into 1
11.360 * [taylor]: Taking taylor expansion of 2.0 in i
11.360 * [backup-simplify]: Simplify 2.0 into 2.0
11.360 * [backup-simplify]: Simplify (* 2.0 0) into 0
11.360 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
11.360 * [backup-simplify]: Simplify (* 0 2.0) into 0
11.361 * [backup-simplify]: Simplify (+ (* 2.0 1) (* 0 0)) into 2.0
11.362 * [backup-simplify]: Simplify (+ 2.0 0) into 2.0
11.362 * [backup-simplify]: Simplify (+ (* 0 2.0) (* 1 2.0)) into 2.0
11.363 * [backup-simplify]: Simplify (/ 0.5 2.0) into 0.25
11.363 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 1) (* 0 0))) into 0
11.363 * [backup-simplify]: Simplify (+ 0 0) into 0
11.365 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 2.0) (* 0 2.0))) into 2.0
11.367 * [backup-simplify]: Simplify (- (/ 0 2.0) (+ (* 0.25 (/ 2.0 2.0)))) into (- 0.25)
11.368 * [backup-simplify]: Simplify (- 0.25) into (- 0.25)
11.368 * [backup-simplify]: Simplify (- 0) into 0
11.368 * [backup-simplify]: Simplify (+ 0 0) into 0
11.369 * [backup-simplify]: Simplify (+ 0 0) into 0
11.369 * [backup-simplify]: Simplify (+ (* beta 0) (+ (* 1 0) (+ (* 0 -1) (* 0 beta)))) into 0
11.370 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 i)))) into 0
11.370 * [backup-simplify]: Simplify (+ 0 0) into 0
11.370 * [backup-simplify]: Simplify (+ 0 0) into 0
11.370 * [backup-simplify]: Simplify (+ 0 0) into 0
11.371 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 i)))) into 0
11.371 * [backup-simplify]: Simplify (+ 0 0) into 0
11.372 * [backup-simplify]: Simplify (+ 0 0) into 0
11.372 * [backup-simplify]: Simplify (+ (* (+ (* 2.0 i) beta) 0) (+ (* 1 0) (+ (* 0 1) (* 0 (+ (* 2.0 i) (+ beta 2.0)))))) into 0
11.387 * [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))))))))))))))
11.387 * [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
11.387 * [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
11.388 * [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
11.388 * [taylor]: Taking taylor expansion of 4 in beta
11.388 * [backup-simplify]: Simplify 4 into 4
11.388 * [taylor]: Taking taylor expansion of (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3))) in beta
11.388 * [taylor]: Taking taylor expansion of (pow beta 3) in beta
11.388 * [taylor]: Taking taylor expansion of beta in beta
11.388 * [backup-simplify]: Simplify 0 into 0
11.388 * [backup-simplify]: Simplify 1 into 1
11.388 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)) in beta
11.388 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 3) in beta
11.388 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
11.388 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
11.388 * [taylor]: Taking taylor expansion of 2.0 in beta
11.388 * [backup-simplify]: Simplify 2.0 into 2.0
11.388 * [taylor]: Taking taylor expansion of i in beta
11.388 * [backup-simplify]: Simplify i into i
11.388 * [taylor]: Taking taylor expansion of beta in beta
11.388 * [backup-simplify]: Simplify 0 into 0
11.388 * [backup-simplify]: Simplify 1 into 1
11.388 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
11.388 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
11.388 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 3) in beta
11.388 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
11.388 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
11.388 * [taylor]: Taking taylor expansion of 2.0 in beta
11.388 * [backup-simplify]: Simplify 2.0 into 2.0
11.389 * [taylor]: Taking taylor expansion of i in beta
11.389 * [backup-simplify]: Simplify i into i
11.389 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
11.389 * [taylor]: Taking taylor expansion of beta in beta
11.389 * [backup-simplify]: Simplify 0 into 0
11.389 * [backup-simplify]: Simplify 1 into 1
11.389 * [taylor]: Taking taylor expansion of 2.0 in beta
11.389 * [backup-simplify]: Simplify 2.0 into 2.0
11.389 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
11.398 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
11.398 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
11.399 * [backup-simplify]: Simplify (* 1 1) into 1
11.399 * [backup-simplify]: Simplify (* 1 1) into 1
11.399 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
11.400 * [backup-simplify]: Simplify (* (* 2.0 i) (* 4.0 (pow i 2))) into (* 8.0 (pow i 3))
11.400 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
11.400 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (pow (+ (* 2.0 i) 2.0) 2)) into (pow (+ (* 2.0 i) 2.0) 3)
11.400 * [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)))
11.400 * [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)))
11.400 * [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
11.400 * [taylor]: Taking taylor expansion of (* 4.0 (/ i (* (pow (+ (* 2.0 i) (+ beta 2.0)) 2) (pow (+ (* 2.0 i) beta) 2)))) in beta
11.400 * [taylor]: Taking taylor expansion of 4.0 in beta
11.400 * [backup-simplify]: Simplify 4.0 into 4.0
11.400 * [taylor]: Taking taylor expansion of (/ i (* (pow (+ (* 2.0 i) (+ beta 2.0)) 2) (pow (+ (* 2.0 i) beta) 2))) in beta
11.400 * [taylor]: Taking taylor expansion of i in beta
11.400 * [backup-simplify]: Simplify i into i
11.401 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) (+ beta 2.0)) 2) (pow (+ (* 2.0 i) beta) 2)) in beta
11.401 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 2) in beta
11.401 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
11.401 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
11.401 * [taylor]: Taking taylor expansion of 2.0 in beta
11.401 * [backup-simplify]: Simplify 2.0 into 2.0
11.401 * [taylor]: Taking taylor expansion of i in beta
11.401 * [backup-simplify]: Simplify i into i
11.401 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
11.401 * [taylor]: Taking taylor expansion of beta in beta
11.401 * [backup-simplify]: Simplify 0 into 0
11.401 * [backup-simplify]: Simplify 1 into 1
11.401 * [taylor]: Taking taylor expansion of 2.0 in beta
11.401 * [backup-simplify]: Simplify 2.0 into 2.0
11.401 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
11.401 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
11.401 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
11.401 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 2) in beta
11.401 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
11.401 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
11.401 * [taylor]: Taking taylor expansion of 2.0 in beta
11.401 * [backup-simplify]: Simplify 2.0 into 2.0
11.401 * [taylor]: Taking taylor expansion of i in beta
11.401 * [backup-simplify]: Simplify i into i
11.401 * [taylor]: Taking taylor expansion of beta in beta
11.401 * [backup-simplify]: Simplify 0 into 0
11.401 * [backup-simplify]: Simplify 1 into 1
11.401 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
11.401 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
11.402 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
11.402 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
11.402 * [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)))
11.402 * [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)))
11.402 * [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
11.402 * [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
11.402 * [taylor]: Taking taylor expansion of 8.0 in beta
11.402 * [backup-simplify]: Simplify 8.0 into 8.0
11.402 * [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
11.402 * [taylor]: Taking taylor expansion of (* i (pow beta 2)) in beta
11.402 * [taylor]: Taking taylor expansion of i in beta
11.402 * [backup-simplify]: Simplify i into i
11.402 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
11.402 * [taylor]: Taking taylor expansion of beta in beta
11.402 * [backup-simplify]: Simplify 0 into 0
11.402 * [backup-simplify]: Simplify 1 into 1
11.402 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)) in beta
11.402 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 3) in beta
11.402 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
11.402 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
11.402 * [taylor]: Taking taylor expansion of 2.0 in beta
11.402 * [backup-simplify]: Simplify 2.0 into 2.0
11.402 * [taylor]: Taking taylor expansion of i in beta
11.402 * [backup-simplify]: Simplify i into i
11.402 * [taylor]: Taking taylor expansion of beta in beta
11.402 * [backup-simplify]: Simplify 0 into 0
11.402 * [backup-simplify]: Simplify 1 into 1
11.402 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
11.402 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
11.402 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 3) in beta
11.403 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
11.403 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
11.403 * [taylor]: Taking taylor expansion of 2.0 in beta
11.403 * [backup-simplify]: Simplify 2.0 into 2.0
11.403 * [taylor]: Taking taylor expansion of i in beta
11.403 * [backup-simplify]: Simplify i into i
11.403 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
11.403 * [taylor]: Taking taylor expansion of beta in beta
11.403 * [backup-simplify]: Simplify 0 into 0
11.403 * [backup-simplify]: Simplify 1 into 1
11.403 * [taylor]: Taking taylor expansion of 2.0 in beta
11.403 * [backup-simplify]: Simplify 2.0 into 2.0
11.403 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
11.403 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
11.403 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
11.403 * [backup-simplify]: Simplify (* 1 1) into 1
11.403 * [backup-simplify]: Simplify (* i 1) into i
11.404 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
11.404 * [backup-simplify]: Simplify (* (* 2.0 i) (* 4.0 (pow i 2))) into (* 8.0 (pow i 3))
11.404 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
11.404 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (pow (+ (* 2.0 i) 2.0) 2)) into (pow (+ (* 2.0 i) 2.0) 3)
11.404 * [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)))
11.404 * [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)))
11.404 * [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
11.404 * [taylor]: Taking taylor expansion of (* 2 (/ beta (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) in beta
11.404 * [taylor]: Taking taylor expansion of 2 in beta
11.404 * [backup-simplify]: Simplify 2 into 2
11.404 * [taylor]: Taking taylor expansion of (/ beta (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2))) in beta
11.404 * [taylor]: Taking taylor expansion of beta in beta
11.404 * [backup-simplify]: Simplify 0 into 0
11.404 * [backup-simplify]: Simplify 1 into 1
11.404 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)) in beta
11.405 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 2) in beta
11.405 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
11.405 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
11.405 * [taylor]: Taking taylor expansion of 2.0 in beta
11.405 * [backup-simplify]: Simplify 2.0 into 2.0
11.405 * [taylor]: Taking taylor expansion of i in beta
11.405 * [backup-simplify]: Simplify i into i
11.405 * [taylor]: Taking taylor expansion of beta in beta
11.405 * [backup-simplify]: Simplify 0 into 0
11.405 * [backup-simplify]: Simplify 1 into 1
11.405 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
11.405 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
11.405 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 2) in beta
11.405 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
11.405 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
11.405 * [taylor]: Taking taylor expansion of 2.0 in beta
11.405 * [backup-simplify]: Simplify 2.0 into 2.0
11.405 * [taylor]: Taking taylor expansion of i in beta
11.405 * [backup-simplify]: Simplify i into i
11.405 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
11.405 * [taylor]: Taking taylor expansion of beta in beta
11.405 * [backup-simplify]: Simplify 0 into 0
11.405 * [backup-simplify]: Simplify 1 into 1
11.405 * [taylor]: Taking taylor expansion of 2.0 in beta
11.405 * [backup-simplify]: Simplify 2.0 into 2.0
11.405 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
11.405 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
11.405 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
11.405 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
11.406 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
11.406 * [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)))
11.406 * [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)))
11.406 * [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
11.406 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) in beta
11.406 * [taylor]: Taking taylor expansion of 2.0 in beta
11.406 * [backup-simplify]: Simplify 2.0 into 2.0
11.406 * [taylor]: Taking taylor expansion of (/ 1 (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2))) in beta
11.406 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)) in beta
11.406 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 2) in beta
11.406 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
11.406 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
11.406 * [taylor]: Taking taylor expansion of 2.0 in beta
11.406 * [backup-simplify]: Simplify 2.0 into 2.0
11.406 * [taylor]: Taking taylor expansion of i in beta
11.406 * [backup-simplify]: Simplify i into i
11.406 * [taylor]: Taking taylor expansion of beta in beta
11.406 * [backup-simplify]: Simplify 0 into 0
11.406 * [backup-simplify]: Simplify 1 into 1
11.406 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
11.406 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
11.406 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 2) in beta
11.406 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
11.406 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
11.406 * [taylor]: Taking taylor expansion of 2.0 in beta
11.406 * [backup-simplify]: Simplify 2.0 into 2.0
11.406 * [taylor]: Taking taylor expansion of i in beta
11.406 * [backup-simplify]: Simplify i into i
11.406 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
11.407 * [taylor]: Taking taylor expansion of beta in beta
11.407 * [backup-simplify]: Simplify 0 into 0
11.407 * [backup-simplify]: Simplify 1 into 1
11.407 * [taylor]: Taking taylor expansion of 2.0 in beta
11.407 * [backup-simplify]: Simplify 2.0 into 2.0
11.407 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
11.407 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
11.407 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
11.407 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
11.407 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
11.407 * [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)))
11.408 * [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)))
11.408 * [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
11.408 * [taylor]: Taking taylor expansion of 4.0 in beta
11.408 * [backup-simplify]: Simplify 4.0 into 4.0
11.408 * [taylor]: Taking taylor expansion of (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3))) in beta
11.408 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
11.408 * [taylor]: Taking taylor expansion of beta in beta
11.408 * [backup-simplify]: Simplify 0 into 0
11.408 * [backup-simplify]: Simplify 1 into 1
11.408 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)) in beta
11.408 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 3) in beta
11.408 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
11.408 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
11.408 * [taylor]: Taking taylor expansion of 2.0 in beta
11.408 * [backup-simplify]: Simplify 2.0 into 2.0
11.408 * [taylor]: Taking taylor expansion of i in beta
11.408 * [backup-simplify]: Simplify i into i
11.408 * [taylor]: Taking taylor expansion of beta in beta
11.408 * [backup-simplify]: Simplify 0 into 0
11.408 * [backup-simplify]: Simplify 1 into 1
11.408 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
11.408 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
11.408 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 3) in beta
11.408 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
11.408 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
11.408 * [taylor]: Taking taylor expansion of 2.0 in beta
11.408 * [backup-simplify]: Simplify 2.0 into 2.0
11.408 * [taylor]: Taking taylor expansion of i in beta
11.408 * [backup-simplify]: Simplify i into i
11.408 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
11.408 * [taylor]: Taking taylor expansion of beta in beta
11.408 * [backup-simplify]: Simplify 0 into 0
11.408 * [backup-simplify]: Simplify 1 into 1
11.408 * [taylor]: Taking taylor expansion of 2.0 in beta
11.408 * [backup-simplify]: Simplify 2.0 into 2.0
11.408 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
11.409 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
11.409 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
11.409 * [backup-simplify]: Simplify (* 1 1) into 1
11.409 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
11.409 * [backup-simplify]: Simplify (* (* 2.0 i) (* 4.0 (pow i 2))) into (* 8.0 (pow i 3))
11.409 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
11.409 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (pow (+ (* 2.0 i) 2.0) 2)) into (pow (+ (* 2.0 i) 2.0) 3)
11.409 * [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)))
11.410 * [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)))
11.410 * [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
11.410 * [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
11.410 * [taylor]: Taking taylor expansion of 48.0 in beta
11.410 * [backup-simplify]: Simplify 48.0 into 48.0
11.410 * [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
11.410 * [taylor]: Taking taylor expansion of (* i (pow beta 4)) in beta
11.410 * [taylor]: Taking taylor expansion of i in beta
11.410 * [backup-simplify]: Simplify i into i
11.410 * [taylor]: Taking taylor expansion of (pow beta 4) in beta
11.410 * [taylor]: Taking taylor expansion of beta in beta
11.410 * [backup-simplify]: Simplify 0 into 0
11.410 * [backup-simplify]: Simplify 1 into 1
11.410 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)) in beta
11.410 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 4) in beta
11.410 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
11.410 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
11.410 * [taylor]: Taking taylor expansion of 2.0 in beta
11.410 * [backup-simplify]: Simplify 2.0 into 2.0
11.410 * [taylor]: Taking taylor expansion of i in beta
11.410 * [backup-simplify]: Simplify i into i
11.410 * [taylor]: Taking taylor expansion of beta in beta
11.410 * [backup-simplify]: Simplify 0 into 0
11.410 * [backup-simplify]: Simplify 1 into 1
11.410 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
11.410 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
11.410 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 4) in beta
11.410 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
11.410 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
11.410 * [taylor]: Taking taylor expansion of 2.0 in beta
11.410 * [backup-simplify]: Simplify 2.0 into 2.0
11.410 * [taylor]: Taking taylor expansion of i in beta
11.410 * [backup-simplify]: Simplify i into i
11.410 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
11.410 * [taylor]: Taking taylor expansion of beta in beta
11.410 * [backup-simplify]: Simplify 0 into 0
11.410 * [backup-simplify]: Simplify 1 into 1
11.410 * [taylor]: Taking taylor expansion of 2.0 in beta
11.410 * [backup-simplify]: Simplify 2.0 into 2.0
11.411 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
11.411 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
11.411 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
11.411 * [backup-simplify]: Simplify (* 1 1) into 1
11.411 * [backup-simplify]: Simplify (* 1 1) into 1
11.411 * [backup-simplify]: Simplify (* i 1) into i
11.412 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
11.412 * [backup-simplify]: Simplify (* (* 4.0 (pow i 2)) (* 4.0 (pow i 2))) into (* 16.0 (pow i 4))
11.412 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
11.412 * [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)
11.412 * [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)))
11.412 * [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)))
11.412 * [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
11.413 * [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
11.413 * [taylor]: Taking taylor expansion of 24.0 in beta
11.413 * [backup-simplify]: Simplify 24.0 into 24.0
11.413 * [taylor]: Taking taylor expansion of (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4))) in beta
11.413 * [taylor]: Taking taylor expansion of (pow beta 3) in beta
11.413 * [taylor]: Taking taylor expansion of beta in beta
11.413 * [backup-simplify]: Simplify 0 into 0
11.413 * [backup-simplify]: Simplify 1 into 1
11.413 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)) in beta
11.413 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 4) in beta
11.413 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
11.413 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
11.413 * [taylor]: Taking taylor expansion of 2.0 in beta
11.413 * [backup-simplify]: Simplify 2.0 into 2.0
11.413 * [taylor]: Taking taylor expansion of i in beta
11.413 * [backup-simplify]: Simplify i into i
11.413 * [taylor]: Taking taylor expansion of beta in beta
11.413 * [backup-simplify]: Simplify 0 into 0
11.413 * [backup-simplify]: Simplify 1 into 1
11.413 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
11.413 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
11.413 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 4) in beta
11.413 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
11.413 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
11.413 * [taylor]: Taking taylor expansion of 2.0 in beta
11.413 * [backup-simplify]: Simplify 2.0 into 2.0
11.413 * [taylor]: Taking taylor expansion of i in beta
11.413 * [backup-simplify]: Simplify i into i
11.413 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
11.413 * [taylor]: Taking taylor expansion of beta in beta
11.413 * [backup-simplify]: Simplify 0 into 0
11.413 * [backup-simplify]: Simplify 1 into 1
11.413 * [taylor]: Taking taylor expansion of 2.0 in beta
11.413 * [backup-simplify]: Simplify 2.0 into 2.0
11.413 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
11.413 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
11.414 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
11.414 * [backup-simplify]: Simplify (* 1 1) into 1
11.414 * [backup-simplify]: Simplify (* 1 1) into 1
11.414 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
11.415 * [backup-simplify]: Simplify (* (* 4.0 (pow i 2)) (* 4.0 (pow i 2))) into (* 16.0 (pow i 4))
11.415 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
11.415 * [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)
11.415 * [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)))
11.415 * [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)))
11.415 * [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
11.416 * [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
11.416 * [taylor]: Taking taylor expansion of 96.0 in beta
11.416 * [backup-simplify]: Simplify 96.0 into 96.0
11.416 * [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
11.416 * [taylor]: Taking taylor expansion of (* i (pow beta 3)) in beta
11.416 * [taylor]: Taking taylor expansion of i in beta
11.416 * [backup-simplify]: Simplify i into i
11.416 * [taylor]: Taking taylor expansion of (pow beta 3) in beta
11.416 * [taylor]: Taking taylor expansion of beta in beta
11.416 * [backup-simplify]: Simplify 0 into 0
11.416 * [backup-simplify]: Simplify 1 into 1
11.416 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)) in beta
11.416 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 4) in beta
11.416 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
11.416 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
11.416 * [taylor]: Taking taylor expansion of 2.0 in beta
11.416 * [backup-simplify]: Simplify 2.0 into 2.0
11.416 * [taylor]: Taking taylor expansion of i in beta
11.416 * [backup-simplify]: Simplify i into i
11.416 * [taylor]: Taking taylor expansion of beta in beta
11.416 * [backup-simplify]: Simplify 0 into 0
11.416 * [backup-simplify]: Simplify 1 into 1
11.416 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
11.416 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
11.416 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 4) in beta
11.416 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
11.416 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
11.416 * [taylor]: Taking taylor expansion of 2.0 in beta
11.416 * [backup-simplify]: Simplify 2.0 into 2.0
11.416 * [taylor]: Taking taylor expansion of i in beta
11.416 * [backup-simplify]: Simplify i into i
11.416 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
11.416 * [taylor]: Taking taylor expansion of beta in beta
11.416 * [backup-simplify]: Simplify 0 into 0
11.416 * [backup-simplify]: Simplify 1 into 1
11.416 * [taylor]: Taking taylor expansion of 2.0 in beta
11.416 * [backup-simplify]: Simplify 2.0 into 2.0
11.416 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
11.417 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
11.417 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
11.417 * [backup-simplify]: Simplify (* 1 1) into 1
11.417 * [backup-simplify]: Simplify (* 1 1) into 1
11.417 * [backup-simplify]: Simplify (* i 1) into i
11.417 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
11.417 * [backup-simplify]: Simplify (* (* 4.0 (pow i 2)) (* 4.0 (pow i 2))) into (* 16.0 (pow i 4))
11.417 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
11.418 * [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)
11.418 * [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)))
11.418 * [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)))
11.418 * [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
11.418 * [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
11.418 * [taylor]: Taking taylor expansion of 8 in beta
11.418 * [backup-simplify]: Simplify 8 into 8
11.418 * [taylor]: Taking taylor expansion of (/ (pow beta 5) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4))) in beta
11.418 * [taylor]: Taking taylor expansion of (pow beta 5) in beta
11.418 * [taylor]: Taking taylor expansion of beta in beta
11.418 * [backup-simplify]: Simplify 0 into 0
11.418 * [backup-simplify]: Simplify 1 into 1
11.418 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)) in beta
11.418 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 4) in beta
11.418 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
11.418 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
11.418 * [taylor]: Taking taylor expansion of 2.0 in beta
11.418 * [backup-simplify]: Simplify 2.0 into 2.0
11.418 * [taylor]: Taking taylor expansion of i in beta
11.418 * [backup-simplify]: Simplify i into i
11.418 * [taylor]: Taking taylor expansion of beta in beta
11.418 * [backup-simplify]: Simplify 0 into 0
11.418 * [backup-simplify]: Simplify 1 into 1
11.418 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
11.419 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
11.419 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 4) in beta
11.419 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
11.419 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
11.419 * [taylor]: Taking taylor expansion of 2.0 in beta
11.419 * [backup-simplify]: Simplify 2.0 into 2.0
11.419 * [taylor]: Taking taylor expansion of i in beta
11.419 * [backup-simplify]: Simplify i into i
11.419 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
11.419 * [taylor]: Taking taylor expansion of beta in beta
11.419 * [backup-simplify]: Simplify 0 into 0
11.419 * [backup-simplify]: Simplify 1 into 1
11.419 * [taylor]: Taking taylor expansion of 2.0 in beta
11.419 * [backup-simplify]: Simplify 2.0 into 2.0
11.419 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
11.419 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
11.419 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
11.419 * [backup-simplify]: Simplify (* 1 1) into 1
11.420 * [backup-simplify]: Simplify (* 1 1) into 1
11.420 * [backup-simplify]: Simplify (* 1 1) into 1
11.420 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
11.420 * [backup-simplify]: Simplify (* (* 4.0 (pow i 2)) (* 4.0 (pow i 2))) into (* 16.0 (pow i 4))
11.420 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
11.420 * [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)
11.421 * [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)))
11.421 * [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)))
11.421 * [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
11.421 * [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
11.421 * [taylor]: Taking taylor expansion of 64.0 in beta
11.421 * [backup-simplify]: Simplify 64.0 into 64.0
11.421 * [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
11.421 * [taylor]: Taking taylor expansion of (* (pow i 3) (pow beta 2)) in beta
11.421 * [taylor]: Taking taylor expansion of (pow i 3) in beta
11.421 * [taylor]: Taking taylor expansion of i in beta
11.421 * [backup-simplify]: Simplify i into i
11.421 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
11.421 * [taylor]: Taking taylor expansion of beta in beta
11.421 * [backup-simplify]: Simplify 0 into 0
11.421 * [backup-simplify]: Simplify 1 into 1
11.421 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)) in beta
11.421 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 4) in beta
11.421 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
11.421 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
11.421 * [taylor]: Taking taylor expansion of 2.0 in beta
11.421 * [backup-simplify]: Simplify 2.0 into 2.0
11.421 * [taylor]: Taking taylor expansion of i in beta
11.421 * [backup-simplify]: Simplify i into i
11.421 * [taylor]: Taking taylor expansion of beta in beta
11.421 * [backup-simplify]: Simplify 0 into 0
11.421 * [backup-simplify]: Simplify 1 into 1
11.421 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
11.421 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
11.421 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 4) in beta
11.421 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
11.421 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
11.421 * [taylor]: Taking taylor expansion of 2.0 in beta
11.421 * [backup-simplify]: Simplify 2.0 into 2.0
11.421 * [taylor]: Taking taylor expansion of i in beta
11.422 * [backup-simplify]: Simplify i into i
11.422 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
11.422 * [taylor]: Taking taylor expansion of beta in beta
11.422 * [backup-simplify]: Simplify 0 into 0
11.422 * [backup-simplify]: Simplify 1 into 1
11.422 * [taylor]: Taking taylor expansion of 2.0 in beta
11.422 * [backup-simplify]: Simplify 2.0 into 2.0
11.422 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
11.422 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
11.422 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
11.422 * [backup-simplify]: Simplify (* i i) into (pow i 2)
11.422 * [backup-simplify]: Simplify (* i (pow i 2)) into (pow i 3)
11.422 * [backup-simplify]: Simplify (* 1 1) into 1
11.422 * [backup-simplify]: Simplify (* (pow i 3) 1) into (pow i 3)
11.423 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
11.423 * [backup-simplify]: Simplify (* (* 4.0 (pow i 2)) (* 4.0 (pow i 2))) into (* 16.0 (pow i 4))
11.423 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
11.423 * [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)
11.423 * [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)))
11.423 * [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)))
11.424 * [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
11.424 * [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
11.424 * [taylor]: Taking taylor expansion of 96.0 in beta
11.424 * [backup-simplify]: Simplify 96.0 into 96.0
11.424 * [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
11.424 * [taylor]: Taking taylor expansion of (* (pow i 2) (pow beta 3)) in beta
11.424 * [taylor]: Taking taylor expansion of (pow i 2) in beta
11.424 * [taylor]: Taking taylor expansion of i in beta
11.424 * [backup-simplify]: Simplify i into i
11.424 * [taylor]: Taking taylor expansion of (pow beta 3) in beta
11.424 * [taylor]: Taking taylor expansion of beta in beta
11.424 * [backup-simplify]: Simplify 0 into 0
11.424 * [backup-simplify]: Simplify 1 into 1
11.424 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)) in beta
11.424 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 4) in beta
11.424 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
11.424 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
11.424 * [taylor]: Taking taylor expansion of 2.0 in beta
11.424 * [backup-simplify]: Simplify 2.0 into 2.0
11.424 * [taylor]: Taking taylor expansion of i in beta
11.424 * [backup-simplify]: Simplify i into i
11.424 * [taylor]: Taking taylor expansion of beta in beta
11.424 * [backup-simplify]: Simplify 0 into 0
11.424 * [backup-simplify]: Simplify 1 into 1
11.424 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
11.424 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
11.425 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 4) in beta
11.425 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
11.425 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
11.425 * [taylor]: Taking taylor expansion of 2.0 in beta
11.425 * [backup-simplify]: Simplify 2.0 into 2.0
11.425 * [taylor]: Taking taylor expansion of i in beta
11.425 * [backup-simplify]: Simplify i into i
11.425 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
11.425 * [taylor]: Taking taylor expansion of beta in beta
11.425 * [backup-simplify]: Simplify 0 into 0
11.425 * [backup-simplify]: Simplify 1 into 1
11.425 * [taylor]: Taking taylor expansion of 2.0 in beta
11.425 * [backup-simplify]: Simplify 2.0 into 2.0
11.425 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
11.426 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
11.426 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
11.426 * [backup-simplify]: Simplify (* i i) into (pow i 2)
11.426 * [backup-simplify]: Simplify (* 1 1) into 1
11.426 * [backup-simplify]: Simplify (* 1 1) into 1
11.427 * [backup-simplify]: Simplify (* (pow i 2) 1) into (pow i 2)
11.427 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
11.427 * [backup-simplify]: Simplify (* (* 4.0 (pow i 2)) (* 4.0 (pow i 2))) into (* 16.0 (pow i 4))
11.427 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
11.428 * [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)
11.428 * [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)))
11.428 * [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)))
11.428 * [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
11.428 * [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
11.428 * [taylor]: Taking taylor expansion of 24.0 in beta
11.429 * [backup-simplify]: Simplify 24.0 into 24.0
11.429 * [taylor]: Taking taylor expansion of (/ (pow beta 4) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4))) in beta
11.429 * [taylor]: Taking taylor expansion of (pow beta 4) in beta
11.429 * [taylor]: Taking taylor expansion of beta in beta
11.429 * [backup-simplify]: Simplify 0 into 0
11.429 * [backup-simplify]: Simplify 1 into 1
11.429 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)) in beta
11.429 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 4) in beta
11.429 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
11.429 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
11.429 * [taylor]: Taking taylor expansion of 2.0 in beta
11.429 * [backup-simplify]: Simplify 2.0 into 2.0
11.429 * [taylor]: Taking taylor expansion of i in beta
11.429 * [backup-simplify]: Simplify i into i
11.429 * [taylor]: Taking taylor expansion of beta in beta
11.429 * [backup-simplify]: Simplify 0 into 0
11.429 * [backup-simplify]: Simplify 1 into 1
11.429 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
11.429 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
11.429 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 4) in beta
11.429 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
11.429 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
11.429 * [taylor]: Taking taylor expansion of 2.0 in beta
11.429 * [backup-simplify]: Simplify 2.0 into 2.0
11.429 * [taylor]: Taking taylor expansion of i in beta
11.429 * [backup-simplify]: Simplify i into i
11.429 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
11.429 * [taylor]: Taking taylor expansion of beta in beta
11.430 * [backup-simplify]: Simplify 0 into 0
11.430 * [backup-simplify]: Simplify 1 into 1
11.430 * [taylor]: Taking taylor expansion of 2.0 in beta
11.430 * [backup-simplify]: Simplify 2.0 into 2.0
11.430 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
11.430 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
11.430 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
11.431 * [backup-simplify]: Simplify (* 1 1) into 1
11.431 * [backup-simplify]: Simplify (* 1 1) into 1
11.431 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
11.432 * [backup-simplify]: Simplify (* (* 4.0 (pow i 2)) (* 4.0 (pow i 2))) into (* 16.0 (pow i 4))
11.432 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
11.432 * [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)
11.432 * [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)))
11.433 * [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)))
11.433 * [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
11.433 * [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
11.433 * [taylor]: Taking taylor expansion of 8.0 in beta
11.433 * [backup-simplify]: Simplify 8.0 into 8.0
11.433 * [taylor]: Taking taylor expansion of (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4))) in beta
11.433 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
11.433 * [taylor]: Taking taylor expansion of beta in beta
11.433 * [backup-simplify]: Simplify 0 into 0
11.433 * [backup-simplify]: Simplify 1 into 1
11.433 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)) in beta
11.433 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 4) in beta
11.433 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
11.433 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
11.433 * [taylor]: Taking taylor expansion of 2.0 in beta
11.433 * [backup-simplify]: Simplify 2.0 into 2.0
11.433 * [taylor]: Taking taylor expansion of i in beta
11.433 * [backup-simplify]: Simplify i into i
11.433 * [taylor]: Taking taylor expansion of beta in beta
11.434 * [backup-simplify]: Simplify 0 into 0
11.434 * [backup-simplify]: Simplify 1 into 1
11.434 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
11.434 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
11.434 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 4) in beta
11.434 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
11.434 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
11.434 * [taylor]: Taking taylor expansion of 2.0 in beta
11.434 * [backup-simplify]: Simplify 2.0 into 2.0
11.434 * [taylor]: Taking taylor expansion of i in beta
11.434 * [backup-simplify]: Simplify i into i
11.434 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
11.434 * [taylor]: Taking taylor expansion of beta in beta
11.434 * [backup-simplify]: Simplify 0 into 0
11.434 * [backup-simplify]: Simplify 1 into 1
11.434 * [taylor]: Taking taylor expansion of 2.0 in beta
11.434 * [backup-simplify]: Simplify 2.0 into 2.0
11.434 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
11.435 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
11.435 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
11.435 * [backup-simplify]: Simplify (* 1 1) into 1
11.435 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
11.436 * [backup-simplify]: Simplify (* (* 4.0 (pow i 2)) (* 4.0 (pow i 2))) into (* 16.0 (pow i 4))
11.436 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
11.436 * [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)
11.437 * [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)))
11.437 * [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)))
11.437 * [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
11.437 * [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
11.437 * [taylor]: Taking taylor expansion of 48.0 in beta
11.437 * [backup-simplify]: Simplify 48.0 into 48.0
11.437 * [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
11.437 * [taylor]: Taking taylor expansion of (* i (pow beta 2)) in beta
11.437 * [taylor]: Taking taylor expansion of i in beta
11.437 * [backup-simplify]: Simplify i into i
11.437 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
11.437 * [taylor]: Taking taylor expansion of beta in beta
11.437 * [backup-simplify]: Simplify 0 into 0
11.437 * [backup-simplify]: Simplify 1 into 1
11.437 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)) in beta
11.437 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 4) in beta
11.437 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
11.437 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
11.437 * [taylor]: Taking taylor expansion of 2.0 in beta
11.438 * [backup-simplify]: Simplify 2.0 into 2.0
11.438 * [taylor]: Taking taylor expansion of i in beta
11.438 * [backup-simplify]: Simplify i into i
11.438 * [taylor]: Taking taylor expansion of beta in beta
11.438 * [backup-simplify]: Simplify 0 into 0
11.438 * [backup-simplify]: Simplify 1 into 1
11.438 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
11.438 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
11.438 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 4) in beta
11.438 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
11.438 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
11.438 * [taylor]: Taking taylor expansion of 2.0 in beta
11.438 * [backup-simplify]: Simplify 2.0 into 2.0
11.438 * [taylor]: Taking taylor expansion of i in beta
11.438 * [backup-simplify]: Simplify i into i
11.438 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
11.438 * [taylor]: Taking taylor expansion of beta in beta
11.438 * [backup-simplify]: Simplify 0 into 0
11.438 * [backup-simplify]: Simplify 1 into 1
11.438 * [taylor]: Taking taylor expansion of 2.0 in beta
11.438 * [backup-simplify]: Simplify 2.0 into 2.0
11.438 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
11.439 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
11.439 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
11.439 * [backup-simplify]: Simplify (* 1 1) into 1
11.439 * [backup-simplify]: Simplify (* i 1) into i
11.439 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
11.440 * [backup-simplify]: Simplify (* (* 4.0 (pow i 2)) (* 4.0 (pow i 2))) into (* 16.0 (pow i 4))
11.440 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
11.440 * [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)
11.441 * [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)))
11.441 * [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)))
11.441 * [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
11.441 * [taylor]: Taking taylor expansion of 96.0 in beta
11.441 * [backup-simplify]: Simplify 96.0 into 96.0
11.441 * [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
11.441 * [taylor]: Taking taylor expansion of (* (pow i 2) (pow beta 2)) in beta
11.441 * [taylor]: Taking taylor expansion of (pow i 2) in beta
11.441 * [taylor]: Taking taylor expansion of i in beta
11.441 * [backup-simplify]: Simplify i into i
11.441 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
11.441 * [taylor]: Taking taylor expansion of beta in beta
11.441 * [backup-simplify]: Simplify 0 into 0
11.441 * [backup-simplify]: Simplify 1 into 1
11.441 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)) in beta
11.441 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 4) in beta
11.441 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
11.441 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
11.441 * [taylor]: Taking taylor expansion of 2.0 in beta
11.442 * [backup-simplify]: Simplify 2.0 into 2.0
11.442 * [taylor]: Taking taylor expansion of i in beta
11.442 * [backup-simplify]: Simplify i into i
11.442 * [taylor]: Taking taylor expansion of beta in beta
11.442 * [backup-simplify]: Simplify 0 into 0
11.442 * [backup-simplify]: Simplify 1 into 1
11.442 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
11.442 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
11.442 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 4) in beta
11.442 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
11.442 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
11.442 * [taylor]: Taking taylor expansion of 2.0 in beta
11.442 * [backup-simplify]: Simplify 2.0 into 2.0
11.442 * [taylor]: Taking taylor expansion of i in beta
11.442 * [backup-simplify]: Simplify i into i
11.442 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
11.442 * [taylor]: Taking taylor expansion of beta in beta
11.442 * [backup-simplify]: Simplify 0 into 0
11.442 * [backup-simplify]: Simplify 1 into 1
11.442 * [taylor]: Taking taylor expansion of 2.0 in beta
11.442 * [backup-simplify]: Simplify 2.0 into 2.0
11.442 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
11.443 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
11.443 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
11.443 * [backup-simplify]: Simplify (* i i) into (pow i 2)
11.443 * [backup-simplify]: Simplify (* 1 1) into 1
11.443 * [backup-simplify]: Simplify (* (pow i 2) 1) into (pow i 2)
11.444 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
11.444 * [backup-simplify]: Simplify (* (* 4.0 (pow i 2)) (* 4.0 (pow i 2))) into (* 16.0 (pow i 4))
11.444 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
11.444 * [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)
11.445 * [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)))
11.445 * [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)))
11.445 * [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)))
11.446 * [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)))
11.446 * [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))))
11.447 * [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))))
11.447 * [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))))
11.448 * [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)))))
11.449 * [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)))))
11.450 * [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)))))
11.450 * [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
11.450 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 2)))) in i
11.450 * [taylor]: Taking taylor expansion of 0.5 in i
11.450 * [backup-simplify]: Simplify 0.5 into 0.5
11.450 * [taylor]: Taking taylor expansion of (/ 1 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 2))) in i
11.450 * [taylor]: Taking taylor expansion of (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 2)) in i
11.450 * [taylor]: Taking taylor expansion of (pow i 2) in i
11.450 * [taylor]: Taking taylor expansion of i in i
11.450 * [backup-simplify]: Simplify 0 into 0
11.450 * [backup-simplify]: Simplify 1 into 1
11.450 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) 2.0) 2) in i
11.450 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) 2.0) in i
11.450 * [taylor]: Taking taylor expansion of (* 2.0 i) in i
11.450 * [taylor]: Taking taylor expansion of 2.0 in i
11.450 * [backup-simplify]: Simplify 2.0 into 2.0
11.450 * [taylor]: Taking taylor expansion of i in i
11.450 * [backup-simplify]: Simplify 0 into 0
11.450 * [backup-simplify]: Simplify 1 into 1
11.450 * [taylor]: Taking taylor expansion of 2.0 in i
11.450 * [backup-simplify]: Simplify 2.0 into 2.0
11.451 * [backup-simplify]: Simplify (* 2.0 0) into 0
11.452 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
11.452 * [backup-simplify]: Simplify (* 1 1) into 1
11.453 * [backup-simplify]: Simplify (* 2.0 2.0) into 4.0
11.453 * [backup-simplify]: Simplify (* 1 4.0) into 4.0
11.454 * [backup-simplify]: Simplify (/ 1 4.0) into 0.25
11.454 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (* i (pow (+ (* 2.0 i) 2.0) 2)))) in i
11.454 * [taylor]: Taking taylor expansion of 1.0 in i
11.454 * [backup-simplify]: Simplify 1.0 into 1.0
11.454 * [taylor]: Taking taylor expansion of (/ 1 (* i (pow (+ (* 2.0 i) 2.0) 2))) in i
11.454 * [taylor]: Taking taylor expansion of (* i (pow (+ (* 2.0 i) 2.0) 2)) in i
11.454 * [taylor]: Taking taylor expansion of i in i
11.454 * [backup-simplify]: Simplify 0 into 0
11.454 * [backup-simplify]: Simplify 1 into 1
11.454 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) 2.0) 2) in i
11.454 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) 2.0) in i
11.454 * [taylor]: Taking taylor expansion of (* 2.0 i) in i
11.454 * [taylor]: Taking taylor expansion of 2.0 in i
11.454 * [backup-simplify]: Simplify 2.0 into 2.0
11.454 * [taylor]: Taking taylor expansion of i in i
11.454 * [backup-simplify]: Simplify 0 into 0
11.454 * [backup-simplify]: Simplify 1 into 1
11.454 * [taylor]: Taking taylor expansion of 2.0 in i
11.454 * [backup-simplify]: Simplify 2.0 into 2.0
11.454 * [backup-simplify]: Simplify (* 2.0 0) into 0
11.455 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
11.455 * [backup-simplify]: Simplify (* 2.0 2.0) into 4.0
11.456 * [backup-simplify]: Simplify (* 0 4.0) into 0
11.457 * [backup-simplify]: Simplify (+ (* 2.0 1) (* 0 0)) into 2.0
11.458 * [backup-simplify]: Simplify (+ 2.0 0) into 2.0
11.459 * [backup-simplify]: Simplify (+ (* 2.0 2.0) (* 2.0 2.0)) into 8.0
11.460 * [backup-simplify]: Simplify (+ (* 0 8.0) (* 1 4.0)) into 4.0
11.461 * [backup-simplify]: Simplify (/ 1 4.0) into 0.25
11.462 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 1) (* 0 0))) into 0
11.462 * [backup-simplify]: Simplify (+ 0 0) into 0
11.464 * [backup-simplify]: Simplify (+ (* 2.0 1) (* 0 0)) into 2.0
11.464 * [backup-simplify]: Simplify (+ 2.0 0) into 2.0
11.467 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 2.0 2.0) (* 0 2.0))) into 4.0
11.467 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.468 * [backup-simplify]: Simplify (+ (* 2.0 2.0) (* 2.0 2.0)) into 8.0
11.469 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
11.471 * [backup-simplify]: Simplify (+ (* 1 4.0) (+ (* 0 8.0) (* 0 4.0))) into 4.0
11.473 * [backup-simplify]: Simplify (+ (* 1 8.0) (* 0 4.0)) into 8.0
11.475 * [backup-simplify]: Simplify (- (+ (* 0.25 (/ 8.0 4.0)))) into (- 0.5)
11.480 * [backup-simplify]: Simplify (- (+ (* 0.25 (/ 4.0 4.0)) (* (- 0.5) (/ 8.0 4.0)))) into 0.75
11.482 * [backup-simplify]: Simplify (+ (* 0.5 0.75) (+ (* 0 (- 0.5)) (* 0 0.25))) into 0.375
11.483 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 1) (* 0 0))) into 0
11.483 * [backup-simplify]: Simplify (+ 0 0) into 0
11.485 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 2.0 2.0) (* 0 2.0))) into 4.0
11.488 * [backup-simplify]: Simplify (+ (* 0 4.0) (+ (* 1 8.0) (* 0 4.0))) into 8.0
11.489 * [backup-simplify]: Simplify (- (+ (* 0.25 (/ 8.0 4.0)))) into (- 0.5)
11.491 * [backup-simplify]: Simplify (+ (* 1.0 (- 0.5)) (* 0 0.25)) into (- 0.5)
11.491 * [backup-simplify]: Simplify (+ 0.375 (- 0.5)) into (- 0.125)
11.491 * [backup-simplify]: Simplify (- 0.125) into (- 0.125)
11.492 * [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))))
11.493 * [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)))))
11.493 * [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
11.493 * [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
11.493 * [taylor]: Taking taylor expansion of (* (+ (/ 1 alpha) (/ 1 beta)) (- (/ 1 beta) (/ 1 alpha))) in i
11.493 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (/ 1 beta)) in i
11.493 * [taylor]: Taking taylor expansion of (/ 1 alpha) in i
11.493 * [taylor]: Taking taylor expansion of alpha in i
11.493 * [backup-simplify]: Simplify alpha into alpha
11.493 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
11.493 * [taylor]: Taking taylor expansion of (/ 1 beta) in i
11.493 * [taylor]: Taking taylor expansion of beta in i
11.493 * [backup-simplify]: Simplify beta into beta
11.493 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
11.493 * [taylor]: Taking taylor expansion of (- (/ 1 beta) (/ 1 alpha)) in i
11.493 * [taylor]: Taking taylor expansion of (/ 1 beta) in i
11.493 * [taylor]: Taking taylor expansion of beta in i
11.493 * [backup-simplify]: Simplify beta into beta
11.493 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
11.493 * [taylor]: Taking taylor expansion of (/ 1 alpha) in i
11.493 * [taylor]: Taking taylor expansion of alpha in i
11.493 * [backup-simplify]: Simplify alpha into alpha
11.494 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
11.494 * [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
11.494 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) in i
11.494 * [taylor]: Taking taylor expansion of (/ 1 alpha) in i
11.494 * [taylor]: Taking taylor expansion of alpha in i
11.494 * [backup-simplify]: Simplify alpha into alpha
11.494 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
11.494 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0)) in i
11.494 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in i
11.494 * [taylor]: Taking taylor expansion of 2.0 in i
11.494 * [backup-simplify]: Simplify 2.0 into 2.0
11.494 * [taylor]: Taking taylor expansion of (/ 1 i) in i
11.494 * [taylor]: Taking taylor expansion of i in i
11.494 * [backup-simplify]: Simplify 0 into 0
11.494 * [backup-simplify]: Simplify 1 into 1
11.494 * [backup-simplify]: Simplify (/ 1 1) into 1
11.494 * [taylor]: Taking taylor expansion of (+ (/ 1 beta) 2.0) in i
11.494 * [taylor]: Taking taylor expansion of (/ 1 beta) in i
11.494 * [taylor]: Taking taylor expansion of beta in i
11.494 * [backup-simplify]: Simplify beta into beta
11.494 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
11.494 * [taylor]: Taking taylor expansion of 2.0 in i
11.494 * [backup-simplify]: Simplify 2.0 into 2.0
11.494 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in i
11.494 * [taylor]: Taking taylor expansion of (/ 1 alpha) in i
11.494 * [taylor]: Taking taylor expansion of alpha in i
11.494 * [backup-simplify]: Simplify alpha into alpha
11.494 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
11.494 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in i
11.494 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in i
11.494 * [taylor]: Taking taylor expansion of 2.0 in i
11.494 * [backup-simplify]: Simplify 2.0 into 2.0
11.494 * [taylor]: Taking taylor expansion of (/ 1 i) in i
11.494 * [taylor]: Taking taylor expansion of i in i
11.494 * [backup-simplify]: Simplify 0 into 0
11.494 * [backup-simplify]: Simplify 1 into 1
11.495 * [backup-simplify]: Simplify (/ 1 1) into 1
11.495 * [taylor]: Taking taylor expansion of (/ 1 beta) in i
11.495 * [taylor]: Taking taylor expansion of beta in i
11.495 * [backup-simplify]: Simplify beta into beta
11.495 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
11.495 * [backup-simplify]: Simplify (+ (/ 1 alpha) (/ 1 beta)) into (+ (/ 1 alpha) (/ 1 beta))
11.495 * [backup-simplify]: Simplify (- (/ 1 alpha)) into (- (/ 1 alpha))
11.495 * [backup-simplify]: Simplify (+ (/ 1 beta) (- (/ 1 alpha))) into (- (/ 1 beta) (/ 1 alpha))
11.495 * [backup-simplify]: Simplify (* (+ (/ 1 alpha) (/ 1 beta)) (- (/ 1 beta) (/ 1 alpha))) into (* (+ (/ 1 alpha) (/ 1 beta)) (- (/ 1 beta) (/ 1 alpha)))
11.495 * [backup-simplify]: Simplify (* 2.0 1) into 2.0
11.496 * [backup-simplify]: Simplify (+ 2.0 0) into 2.0
11.496 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
11.496 * [backup-simplify]: Simplify (* 2.0 1) into 2.0
11.497 * [backup-simplify]: Simplify (+ 2.0 0) into 2.0
11.497 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
11.497 * [backup-simplify]: Simplify (* 2.0 2.0) into 4.0
11.497 * [backup-simplify]: Simplify (/ (* (+ (/ 1 alpha) (/ 1 beta)) (- (/ 1 beta) (/ 1 alpha))) 4.0) into (* 0.25 (* (+ (/ 1 alpha) (/ 1 beta)) (- (/ 1 beta) (/ 1 alpha))))
11.497 * [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
11.497 * [taylor]: Taking taylor expansion of (* (+ (/ 1 alpha) (/ 1 beta)) (- (/ 1 beta) (/ 1 alpha))) in beta
11.497 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (/ 1 beta)) in beta
11.497 * [taylor]: Taking taylor expansion of (/ 1 alpha) in beta
11.497 * [taylor]: Taking taylor expansion of alpha in beta
11.497 * [backup-simplify]: Simplify alpha into alpha
11.497 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
11.498 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
11.498 * [taylor]: Taking taylor expansion of beta in beta
11.498 * [backup-simplify]: Simplify 0 into 0
11.498 * [backup-simplify]: Simplify 1 into 1
11.498 * [backup-simplify]: Simplify (/ 1 1) into 1
11.498 * [taylor]: Taking taylor expansion of (- (/ 1 beta) (/ 1 alpha)) in beta
11.498 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
11.498 * [taylor]: Taking taylor expansion of beta in beta
11.498 * [backup-simplify]: Simplify 0 into 0
11.498 * [backup-simplify]: Simplify 1 into 1
11.498 * [backup-simplify]: Simplify (/ 1 1) into 1
11.498 * [taylor]: Taking taylor expansion of (/ 1 alpha) in beta
11.498 * [taylor]: Taking taylor expansion of alpha in beta
11.498 * [backup-simplify]: Simplify alpha into alpha
11.498 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
11.498 * [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
11.498 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) in beta
11.498 * [taylor]: Taking taylor expansion of (/ 1 alpha) in beta
11.498 * [taylor]: Taking taylor expansion of alpha in beta
11.498 * [backup-simplify]: Simplify alpha into alpha
11.498 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
11.498 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0)) in beta
11.498 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in beta
11.498 * [taylor]: Taking taylor expansion of 2.0 in beta
11.498 * [backup-simplify]: Simplify 2.0 into 2.0
11.498 * [taylor]: Taking taylor expansion of (/ 1 i) in beta
11.498 * [taylor]: Taking taylor expansion of i in beta
11.498 * [backup-simplify]: Simplify i into i
11.499 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
11.499 * [taylor]: Taking taylor expansion of (+ (/ 1 beta) 2.0) in beta
11.499 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
11.499 * [taylor]: Taking taylor expansion of beta in beta
11.499 * [backup-simplify]: Simplify 0 into 0
11.499 * [backup-simplify]: Simplify 1 into 1
11.499 * [backup-simplify]: Simplify (/ 1 1) into 1
11.499 * [taylor]: Taking taylor expansion of 2.0 in beta
11.499 * [backup-simplify]: Simplify 2.0 into 2.0
11.499 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in beta
11.499 * [taylor]: Taking taylor expansion of (/ 1 alpha) in beta
11.499 * [taylor]: Taking taylor expansion of alpha in beta
11.499 * [backup-simplify]: Simplify alpha into alpha
11.499 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
11.499 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in beta
11.499 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in beta
11.499 * [taylor]: Taking taylor expansion of 2.0 in beta
11.499 * [backup-simplify]: Simplify 2.0 into 2.0
11.499 * [taylor]: Taking taylor expansion of (/ 1 i) in beta
11.499 * [taylor]: Taking taylor expansion of i in beta
11.499 * [backup-simplify]: Simplify i into i
11.499 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
11.499 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
11.499 * [taylor]: Taking taylor expansion of beta in beta
11.499 * [backup-simplify]: Simplify 0 into 0
11.499 * [backup-simplify]: Simplify 1 into 1
11.499 * [backup-simplify]: Simplify (/ 1 1) into 1
11.500 * [backup-simplify]: Simplify (+ 0 1) into 1
11.500 * [backup-simplify]: Simplify (+ 1 0) into 1
11.501 * [backup-simplify]: Simplify (* 1 1) into 1
11.501 * [backup-simplify]: Simplify (+ 1 0) into 1
11.501 * [backup-simplify]: Simplify (+ 0 1) into 1
11.502 * [backup-simplify]: Simplify (+ 0 1) into 1
11.503 * [backup-simplify]: Simplify (+ 0 1) into 1
11.503 * [backup-simplify]: Simplify (+ 0 1) into 1
11.503 * [backup-simplify]: Simplify (* 1 1) into 1
11.503 * [backup-simplify]: Simplify (/ 1 1) into 1
11.503 * [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
11.503 * [taylor]: Taking taylor expansion of (* (+ (/ 1 alpha) (/ 1 beta)) (- (/ 1 beta) (/ 1 alpha))) in alpha
11.503 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (/ 1 beta)) in alpha
11.503 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
11.504 * [taylor]: Taking taylor expansion of alpha in alpha
11.504 * [backup-simplify]: Simplify 0 into 0
11.504 * [backup-simplify]: Simplify 1 into 1
11.504 * [backup-simplify]: Simplify (/ 1 1) into 1
11.504 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
11.504 * [taylor]: Taking taylor expansion of beta in alpha
11.504 * [backup-simplify]: Simplify beta into beta
11.504 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
11.504 * [taylor]: Taking taylor expansion of (- (/ 1 beta) (/ 1 alpha)) in alpha
11.504 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
11.504 * [taylor]: Taking taylor expansion of beta in alpha
11.504 * [backup-simplify]: Simplify beta into beta
11.504 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
11.504 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
11.504 * [taylor]: Taking taylor expansion of alpha in alpha
11.504 * [backup-simplify]: Simplify 0 into 0
11.504 * [backup-simplify]: Simplify 1 into 1
11.504 * [backup-simplify]: Simplify (/ 1 1) into 1
11.504 * [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
11.504 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) in alpha
11.504 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
11.504 * [taylor]: Taking taylor expansion of alpha in alpha
11.504 * [backup-simplify]: Simplify 0 into 0
11.504 * [backup-simplify]: Simplify 1 into 1
11.505 * [backup-simplify]: Simplify (/ 1 1) into 1
11.505 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0)) in alpha
11.505 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
11.505 * [taylor]: Taking taylor expansion of 2.0 in alpha
11.505 * [backup-simplify]: Simplify 2.0 into 2.0
11.505 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
11.505 * [taylor]: Taking taylor expansion of i in alpha
11.505 * [backup-simplify]: Simplify i into i
11.505 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
11.505 * [taylor]: Taking taylor expansion of (+ (/ 1 beta) 2.0) in alpha
11.505 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
11.505 * [taylor]: Taking taylor expansion of beta in alpha
11.505 * [backup-simplify]: Simplify beta into beta
11.505 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
11.505 * [taylor]: Taking taylor expansion of 2.0 in alpha
11.505 * [backup-simplify]: Simplify 2.0 into 2.0
11.505 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in alpha
11.505 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
11.505 * [taylor]: Taking taylor expansion of alpha in alpha
11.505 * [backup-simplify]: Simplify 0 into 0
11.505 * [backup-simplify]: Simplify 1 into 1
11.505 * [backup-simplify]: Simplify (/ 1 1) into 1
11.505 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in alpha
11.506 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
11.506 * [taylor]: Taking taylor expansion of 2.0 in alpha
11.506 * [backup-simplify]: Simplify 2.0 into 2.0
11.506 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
11.506 * [taylor]: Taking taylor expansion of i in alpha
11.506 * [backup-simplify]: Simplify i into i
11.506 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
11.506 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
11.506 * [taylor]: Taking taylor expansion of beta in alpha
11.506 * [backup-simplify]: Simplify beta into beta
11.506 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
11.506 * [backup-simplify]: Simplify (+ 1 0) into 1
11.506 * [backup-simplify]: Simplify (- 1) into -1
11.507 * [backup-simplify]: Simplify (+ 0 -1) into -1
11.507 * [backup-simplify]: Simplify (* 1 -1) into -1
11.507 * [backup-simplify]: Simplify (+ 1 0) into 1
11.507 * [backup-simplify]: Simplify (+ 1 0) into 1
11.508 * [backup-simplify]: Simplify (* 1 1) into 1
11.508 * [backup-simplify]: Simplify (/ -1 1) into -1
11.508 * [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
11.508 * [taylor]: Taking taylor expansion of (* (+ (/ 1 alpha) (/ 1 beta)) (- (/ 1 beta) (/ 1 alpha))) in alpha
11.508 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (/ 1 beta)) in alpha
11.508 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
11.508 * [taylor]: Taking taylor expansion of alpha in alpha
11.508 * [backup-simplify]: Simplify 0 into 0
11.508 * [backup-simplify]: Simplify 1 into 1
11.508 * [backup-simplify]: Simplify (/ 1 1) into 1
11.508 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
11.508 * [taylor]: Taking taylor expansion of beta in alpha
11.509 * [backup-simplify]: Simplify beta into beta
11.509 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
11.509 * [taylor]: Taking taylor expansion of (- (/ 1 beta) (/ 1 alpha)) in alpha
11.509 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
11.509 * [taylor]: Taking taylor expansion of beta in alpha
11.509 * [backup-simplify]: Simplify beta into beta
11.509 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
11.509 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
11.509 * [taylor]: Taking taylor expansion of alpha in alpha
11.509 * [backup-simplify]: Simplify 0 into 0
11.509 * [backup-simplify]: Simplify 1 into 1
11.509 * [backup-simplify]: Simplify (/ 1 1) into 1
11.509 * [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
11.509 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) in alpha
11.509 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
11.509 * [taylor]: Taking taylor expansion of alpha in alpha
11.509 * [backup-simplify]: Simplify 0 into 0
11.509 * [backup-simplify]: Simplify 1 into 1
11.509 * [backup-simplify]: Simplify (/ 1 1) into 1
11.509 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0)) in alpha
11.509 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
11.509 * [taylor]: Taking taylor expansion of 2.0 in alpha
11.509 * [backup-simplify]: Simplify 2.0 into 2.0
11.509 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
11.509 * [taylor]: Taking taylor expansion of i in alpha
11.509 * [backup-simplify]: Simplify i into i
11.509 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
11.510 * [taylor]: Taking taylor expansion of (+ (/ 1 beta) 2.0) in alpha
11.510 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
11.510 * [taylor]: Taking taylor expansion of beta in alpha
11.510 * [backup-simplify]: Simplify beta into beta
11.510 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
11.510 * [taylor]: Taking taylor expansion of 2.0 in alpha
11.510 * [backup-simplify]: Simplify 2.0 into 2.0
11.510 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in alpha
11.510 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
11.510 * [taylor]: Taking taylor expansion of alpha in alpha
11.510 * [backup-simplify]: Simplify 0 into 0
11.510 * [backup-simplify]: Simplify 1 into 1
11.510 * [backup-simplify]: Simplify (/ 1 1) into 1
11.510 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in alpha
11.510 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
11.510 * [taylor]: Taking taylor expansion of 2.0 in alpha
11.510 * [backup-simplify]: Simplify 2.0 into 2.0
11.510 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
11.510 * [taylor]: Taking taylor expansion of i in alpha
11.510 * [backup-simplify]: Simplify i into i
11.510 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
11.510 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
11.510 * [taylor]: Taking taylor expansion of beta in alpha
11.510 * [backup-simplify]: Simplify beta into beta
11.510 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
11.510 * [backup-simplify]: Simplify (+ 1 0) into 1
11.511 * [backup-simplify]: Simplify (- 1) into -1
11.511 * [backup-simplify]: Simplify (+ 0 -1) into -1
11.511 * [backup-simplify]: Simplify (* 1 -1) into -1
11.512 * [backup-simplify]: Simplify (+ 1 0) into 1
11.512 * [backup-simplify]: Simplify (+ 1 0) into 1
11.512 * [backup-simplify]: Simplify (* 1 1) into 1
11.512 * [backup-simplify]: Simplify (/ -1 1) into -1
11.512 * [taylor]: Taking taylor expansion of -1 in beta
11.512 * [backup-simplify]: Simplify -1 into -1
11.512 * [taylor]: Taking taylor expansion of -1 in i
11.512 * [backup-simplify]: Simplify -1 into -1
11.512 * [backup-simplify]: Simplify 0 into 0
11.513 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.513 * [backup-simplify]: Simplify (- 0) into 0
11.513 * [backup-simplify]: Simplify (+ (/ 1 beta) 0) into (/ 1 beta)
11.514 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.514 * [backup-simplify]: Simplify (+ 0 (/ 1 beta)) into (/ 1 beta)
11.514 * [backup-simplify]: Simplify (+ (* 1 (/ 1 beta)) (* (/ 1 beta) -1)) into 0
11.514 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.514 * [backup-simplify]: Simplify (* 2.0 (/ 1 i)) into (/ 2.0 i)
11.514 * [backup-simplify]: Simplify (+ (/ 2.0 i) (/ 1 beta)) into (+ (* 2.0 (/ 1 i)) (/ 1 beta))
11.515 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 (/ 1 i)) (/ 1 beta))) into (+ (* 2.0 (/ 1 i)) (/ 1 beta))
11.515 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.515 * [backup-simplify]: Simplify (* 2.0 (/ 1 i)) into (/ 2.0 i)
11.515 * [backup-simplify]: Simplify (+ (/ 1 beta) 2.0) into (+ (/ 1 beta) 2.0)
11.515 * [backup-simplify]: Simplify (+ (/ 2.0 i) (+ (/ 1 beta) 2.0)) into (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))
11.516 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) into (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))
11.516 * [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))
11.516 * [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))
11.516 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 i)) (+ (* 2 (/ 1 beta)) 2.0)) in beta
11.516 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 i)) in beta
11.516 * [taylor]: Taking taylor expansion of 4.0 in beta
11.516 * [backup-simplify]: Simplify 4.0 into 4.0
11.516 * [taylor]: Taking taylor expansion of (/ 1 i) in beta
11.516 * [taylor]: Taking taylor expansion of i in beta
11.517 * [backup-simplify]: Simplify i into i
11.517 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
11.517 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 beta)) 2.0) in beta
11.517 * [taylor]: Taking taylor expansion of (* 2 (/ 1 beta)) in beta
11.517 * [taylor]: Taking taylor expansion of 2 in beta
11.517 * [backup-simplify]: Simplify 2 into 2
11.517 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
11.517 * [taylor]: Taking taylor expansion of beta in beta
11.517 * [backup-simplify]: Simplify 0 into 0
11.517 * [backup-simplify]: Simplify 1 into 1
11.517 * [backup-simplify]: Simplify (/ 1 1) into 1
11.517 * [taylor]: Taking taylor expansion of 2.0 in beta
11.517 * [backup-simplify]: Simplify 2.0 into 2.0
11.517 * [backup-simplify]: Simplify (* 4.0 (/ 1 i)) into (/ 4.0 i)
11.517 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.518 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0
11.518 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
11.518 * [backup-simplify]: Simplify (+ (/ 4.0 i) 2.0) into (+ (* 4.0 (/ 1 i)) 2.0)
11.518 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 i)) 2.0) in i
11.518 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 i)) in i
11.518 * [taylor]: Taking taylor expansion of 4.0 in i
11.518 * [backup-simplify]: Simplify 4.0 into 4.0
11.518 * [taylor]: Taking taylor expansion of (/ 1 i) in i
11.518 * [taylor]: Taking taylor expansion of i in i
11.518 * [backup-simplify]: Simplify 0 into 0
11.518 * [backup-simplify]: Simplify 1 into 1
11.519 * [backup-simplify]: Simplify (/ 1 1) into 1
11.519 * [taylor]: Taking taylor expansion of 2.0 in i
11.519 * [backup-simplify]: Simplify 2.0 into 2.0
11.519 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.520 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.521 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.522 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
11.523 * [backup-simplify]: Simplify (+ 0 0) into 0
11.523 * [backup-simplify]: Simplify 0 into 0
11.523 * [taylor]: Taking taylor expansion of 0 in i
11.523 * [backup-simplify]: Simplify 0 into 0
11.523 * [backup-simplify]: Simplify 0 into 0
11.523 * [backup-simplify]: Simplify 0 into 0
11.523 * [backup-simplify]: Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
11.524 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.524 * [backup-simplify]: Simplify (- 0) into 0
11.525 * [backup-simplify]: Simplify (+ 0 0) into 0
11.526 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.526 * [backup-simplify]: Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
11.526 * [backup-simplify]: Simplify (+ 0 0) into 0
11.527 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 beta) (/ 1 beta)) (* 0 -1))) into (/ 1 (pow beta 2))
11.528 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.528 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
11.529 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 (/ 1 i))) into 0
11.529 * [backup-simplify]: Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
11.536 * [backup-simplify]: Simplify (+ 0 0) into 0
11.537 * [backup-simplify]: Simplify (+ 0 0) into 0
11.538 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.538 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
11.539 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 (/ 1 i))) into 0
11.539 * [backup-simplify]: Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
11.540 * [backup-simplify]: Simplify (+ 0 0) into 0
11.540 * [backup-simplify]: Simplify (+ 0 0) into 0
11.540 * [backup-simplify]: Simplify (+ 0 0) into 0
11.542 * [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))))))
11.545 * [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))))))
11.545 * [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
11.545 * [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
11.545 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow beta 2))) in beta
11.545 * [taylor]: Taking taylor expansion of 2 in beta
11.545 * [backup-simplify]: Simplify 2 into 2
11.545 * [taylor]: Taking taylor expansion of (/ 1 (pow beta 2)) in beta
11.545 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
11.545 * [taylor]: Taking taylor expansion of beta in beta
11.545 * [backup-simplify]: Simplify 0 into 0
11.545 * [backup-simplify]: Simplify 1 into 1
11.546 * [backup-simplify]: Simplify (* 1 1) into 1
11.546 * [backup-simplify]: Simplify (/ 1 1) into 1
11.546 * [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
11.546 * [taylor]: Taking taylor expansion of (* 12.0 (/ 1 (* i beta))) in beta
11.546 * [taylor]: Taking taylor expansion of 12.0 in beta
11.546 * [backup-simplify]: Simplify 12.0 into 12.0
11.546 * [taylor]: Taking taylor expansion of (/ 1 (* i beta)) in beta
11.546 * [taylor]: Taking taylor expansion of (* i beta) in beta
11.546 * [taylor]: Taking taylor expansion of i in beta
11.546 * [backup-simplify]: Simplify i into i
11.546 * [taylor]: Taking taylor expansion of beta in beta
11.546 * [backup-simplify]: Simplify 0 into 0
11.546 * [backup-simplify]: Simplify 1 into 1
11.546 * [backup-simplify]: Simplify (* i 0) into 0
11.547 * [backup-simplify]: Simplify (+ (* i 1) (* 0 0)) into i
11.547 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
11.547 * [taylor]: Taking taylor expansion of (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 12.0 (/ 1 i)) (+ (* 6.0 (/ 1 beta)) 4.0))) in beta
11.547 * [taylor]: Taking taylor expansion of (* 12.0 (/ 1 (pow i 2))) in beta
11.547 * [taylor]: Taking taylor expansion of 12.0 in beta
11.547 * [backup-simplify]: Simplify 12.0 into 12.0
11.547 * [taylor]: Taking taylor expansion of (/ 1 (pow i 2)) in beta
11.547 * [taylor]: Taking taylor expansion of (pow i 2) in beta
11.547 * [taylor]: Taking taylor expansion of i in beta
11.547 * [backup-simplify]: Simplify i into i
11.547 * [backup-simplify]: Simplify (* i i) into (pow i 2)
11.548 * [backup-simplify]: Simplify (/ 1 (pow i 2)) into (/ 1 (pow i 2))
11.548 * [taylor]: Taking taylor expansion of (+ (* 12.0 (/ 1 i)) (+ (* 6.0 (/ 1 beta)) 4.0)) in beta
11.548 * [taylor]: Taking taylor expansion of (* 12.0 (/ 1 i)) in beta
11.548 * [taylor]: Taking taylor expansion of 12.0 in beta
11.548 * [backup-simplify]: Simplify 12.0 into 12.0
11.548 * [taylor]: Taking taylor expansion of (/ 1 i) in beta
11.548 * [taylor]: Taking taylor expansion of i in beta
11.548 * [backup-simplify]: Simplify i into i
11.548 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
11.548 * [taylor]: Taking taylor expansion of (+ (* 6.0 (/ 1 beta)) 4.0) in beta
11.548 * [taylor]: Taking taylor expansion of (* 6.0 (/ 1 beta)) in beta
11.548 * [taylor]: Taking taylor expansion of 6.0 in beta
11.548 * [backup-simplify]: Simplify 6.0 into 6.0
11.548 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
11.548 * [taylor]: Taking taylor expansion of beta in beta
11.548 * [backup-simplify]: Simplify 0 into 0
11.548 * [backup-simplify]: Simplify 1 into 1
11.548 * [backup-simplify]: Simplify (/ 1 1) into 1
11.548 * [taylor]: Taking taylor expansion of 4.0 in beta
11.549 * [backup-simplify]: Simplify 4.0 into 4.0
11.549 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
11.550 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.551 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.552 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.553 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0
11.553 * [backup-simplify]: Simplify (+ (* i 0) (+ (* 0 1) (* 0 0))) into 0
11.554 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
11.554 * [backup-simplify]: Simplify (+ (* 12.0 0) (* 0 (/ 1 i))) into 0
11.554 * [backup-simplify]: Simplify (* 12.0 (/ 1 (pow i 2))) into (/ 12.0 (pow i 2))
11.554 * [backup-simplify]: Simplify (* 12.0 (/ 1 i)) into (/ 12.0 i)
11.555 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.556 * [backup-simplify]: Simplify (+ (* 6.0 0) (* 0 1)) into 0
11.556 * [backup-simplify]: Simplify (+ 0 4.0) into 4.0
11.557 * [backup-simplify]: Simplify (+ (/ 12.0 i) 4.0) into (+ (* 12.0 (/ 1 i)) 4.0)
11.557 * [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))
11.557 * [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))
11.558 * [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))
11.558 * [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)))
11.558 * [taylor]: Taking taylor expansion of (- (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 12.0 (/ 1 i)) 4.0))) in i
11.558 * [taylor]: Taking taylor expansion of (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 12.0 (/ 1 i)) 4.0)) in i
11.558 * [taylor]: Taking taylor expansion of (* 12.0 (/ 1 (pow i 2))) in i
11.558 * [taylor]: Taking taylor expansion of 12.0 in i
11.558 * [backup-simplify]: Simplify 12.0 into 12.0
11.558 * [taylor]: Taking taylor expansion of (/ 1 (pow i 2)) in i
11.558 * [taylor]: Taking taylor expansion of (pow i 2) in i
11.558 * [taylor]: Taking taylor expansion of i in i
11.558 * [backup-simplify]: Simplify 0 into 0
11.558 * [backup-simplify]: Simplify 1 into 1
11.559 * [backup-simplify]: Simplify (* 1 1) into 1
11.559 * [backup-simplify]: Simplify (/ 1 1) into 1
11.559 * [taylor]: Taking taylor expansion of (+ (* 12.0 (/ 1 i)) 4.0) in i
11.559 * [taylor]: Taking taylor expansion of (* 12.0 (/ 1 i)) in i
11.559 * [taylor]: Taking taylor expansion of 12.0 in i
11.559 * [backup-simplify]: Simplify 12.0 into 12.0
11.559 * [taylor]: Taking taylor expansion of (/ 1 i) in i
11.559 * [taylor]: Taking taylor expansion of i in i
11.559 * [backup-simplify]: Simplify 0 into 0
11.559 * [backup-simplify]: Simplify 1 into 1
11.560 * [backup-simplify]: Simplify (/ 1 1) into 1
11.560 * [taylor]: Taking taylor expansion of 4.0 in i
11.560 * [backup-simplify]: Simplify 4.0 into 4.0
11.561 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
11.562 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.562 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.563 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
11.564 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
11.566 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.567 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.567 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.569 * [backup-simplify]: Simplify (+ (* 12.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
11.570 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.570 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.571 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.572 * [backup-simplify]: Simplify (+ (* 12.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
11.573 * [backup-simplify]: Simplify (+ 0 0) into 0
11.573 * [backup-simplify]: Simplify (+ 0 0) into 0
11.574 * [backup-simplify]: Simplify (- 0) into 0
11.574 * [backup-simplify]: Simplify 0 into 0
11.574 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
11.574 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 i))) into 0
11.575 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.576 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0
11.577 * [backup-simplify]: Simplify (+ 0 0) into 0
11.577 * [backup-simplify]: Simplify (+ 0 0) into 0
11.577 * [taylor]: Taking taylor expansion of 0 in i
11.577 * [backup-simplify]: Simplify 0 into 0
11.577 * [backup-simplify]: Simplify 0 into 0
11.577 * [backup-simplify]: Simplify 0 into 0
11.578 * [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)))))
11.578 * [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
11.578 * [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
11.578 * [taylor]: Taking taylor expansion of (* (- (/ 1 alpha) (/ 1 beta)) (+ (/ 1 alpha) (/ 1 beta))) in i
11.578 * [taylor]: Taking taylor expansion of (- (/ 1 alpha) (/ 1 beta)) in i
11.579 * [taylor]: Taking taylor expansion of (/ 1 alpha) in i
11.579 * [taylor]: Taking taylor expansion of alpha in i
11.579 * [backup-simplify]: Simplify alpha into alpha
11.579 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
11.579 * [taylor]: Taking taylor expansion of (/ 1 beta) in i
11.579 * [taylor]: Taking taylor expansion of beta in i
11.579 * [backup-simplify]: Simplify beta into beta
11.579 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
11.579 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (/ 1 beta)) in i
11.579 * [taylor]: Taking taylor expansion of (/ 1 alpha) in i
11.579 * [taylor]: Taking taylor expansion of alpha in i
11.579 * [backup-simplify]: Simplify alpha into alpha
11.579 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
11.579 * [taylor]: Taking taylor expansion of (/ 1 beta) in i
11.579 * [taylor]: Taking taylor expansion of beta in i
11.579 * [backup-simplify]: Simplify beta into beta
11.579 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
11.579 * [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
11.579 * [taylor]: Taking taylor expansion of (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) in i
11.579 * [taylor]: Taking taylor expansion of 2.0 in i
11.579 * [backup-simplify]: Simplify 2.0 into 2.0
11.579 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in i
11.579 * [taylor]: Taking taylor expansion of (/ 1 alpha) in i
11.579 * [taylor]: Taking taylor expansion of alpha in i
11.579 * [backup-simplify]: Simplify alpha into alpha
11.580 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
11.580 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in i
11.580 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in i
11.580 * [taylor]: Taking taylor expansion of 2.0 in i
11.580 * [backup-simplify]: Simplify 2.0 into 2.0
11.580 * [taylor]: Taking taylor expansion of (/ 1 i) in i
11.580 * [taylor]: Taking taylor expansion of i in i
11.580 * [backup-simplify]: Simplify 0 into 0
11.580 * [backup-simplify]: Simplify 1 into 1
11.580 * [backup-simplify]: Simplify (/ 1 1) into 1
11.580 * [taylor]: Taking taylor expansion of (/ 1 beta) in i
11.581 * [taylor]: Taking taylor expansion of beta in i
11.581 * [backup-simplify]: Simplify beta into beta
11.581 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
11.581 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in i
11.581 * [taylor]: Taking taylor expansion of (/ 1 alpha) in i
11.581 * [taylor]: Taking taylor expansion of alpha in i
11.581 * [backup-simplify]: Simplify alpha into alpha
11.581 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
11.581 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in i
11.581 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in i
11.581 * [taylor]: Taking taylor expansion of 2.0 in i
11.581 * [backup-simplify]: Simplify 2.0 into 2.0
11.581 * [taylor]: Taking taylor expansion of (/ 1 i) in i
11.581 * [taylor]: Taking taylor expansion of i in i
11.581 * [backup-simplify]: Simplify 0 into 0
11.581 * [backup-simplify]: Simplify 1 into 1
11.581 * [backup-simplify]: Simplify (/ 1 1) into 1
11.581 * [taylor]: Taking taylor expansion of (/ 1 beta) in i
11.581 * [taylor]: Taking taylor expansion of beta in i
11.582 * [backup-simplify]: Simplify beta into beta
11.582 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
11.582 * [backup-simplify]: Simplify (- (/ 1 beta)) into (- (/ 1 beta))
11.582 * [backup-simplify]: Simplify (+ (/ 1 alpha) (- (/ 1 beta))) into (- (/ 1 alpha) (/ 1 beta))
11.582 * [backup-simplify]: Simplify (+ (/ 1 alpha) (/ 1 beta)) into (+ (/ 1 alpha) (/ 1 beta))
11.582 * [backup-simplify]: Simplify (* (- (/ 1 alpha) (/ 1 beta)) (+ (/ 1 alpha) (/ 1 beta))) into (* (- (/ 1 alpha) (/ 1 beta)) (+ (/ 1 alpha) (/ 1 beta)))
11.583 * [backup-simplify]: Simplify (* 2.0 1) into 2.0
11.583 * [backup-simplify]: Simplify (+ 2.0 0) into 2.0
11.584 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
11.584 * [backup-simplify]: Simplify (- 2.0) into (- 2.0)
11.585 * [backup-simplify]: Simplify (+ 0 (- 2.0)) into (- 2.0)
11.585 * [backup-simplify]: Simplify (* 2.0 1) into 2.0
11.586 * [backup-simplify]: Simplify (+ 2.0 0) into 2.0
11.586 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
11.587 * [backup-simplify]: Simplify (* (- 2.0) 2.0) into -4.0
11.587 * [backup-simplify]: Simplify (/ (* (- (/ 1 alpha) (/ 1 beta)) (+ (/ 1 alpha) (/ 1 beta))) -4.0) into (* -0.25 (* (- (/ 1 alpha) (/ 1 beta)) (+ (/ 1 alpha) (/ 1 beta))))
11.587 * [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
11.587 * [taylor]: Taking taylor expansion of (* (- (/ 1 alpha) (/ 1 beta)) (+ (/ 1 alpha) (/ 1 beta))) in beta
11.587 * [taylor]: Taking taylor expansion of (- (/ 1 alpha) (/ 1 beta)) in beta
11.587 * [taylor]: Taking taylor expansion of (/ 1 alpha) in beta
11.587 * [taylor]: Taking taylor expansion of alpha in beta
11.588 * [backup-simplify]: Simplify alpha into alpha
11.588 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
11.588 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
11.588 * [taylor]: Taking taylor expansion of beta in beta
11.588 * [backup-simplify]: Simplify 0 into 0
11.588 * [backup-simplify]: Simplify 1 into 1
11.588 * [backup-simplify]: Simplify (/ 1 1) into 1
11.588 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (/ 1 beta)) in beta
11.588 * [taylor]: Taking taylor expansion of (/ 1 alpha) in beta
11.588 * [taylor]: Taking taylor expansion of alpha in beta
11.588 * [backup-simplify]: Simplify alpha into alpha
11.588 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
11.588 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
11.588 * [taylor]: Taking taylor expansion of beta in beta
11.588 * [backup-simplify]: Simplify 0 into 0
11.588 * [backup-simplify]: Simplify 1 into 1
11.589 * [backup-simplify]: Simplify (/ 1 1) into 1
11.589 * [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
11.589 * [taylor]: Taking taylor expansion of (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) in beta
11.589 * [taylor]: Taking taylor expansion of 2.0 in beta
11.589 * [backup-simplify]: Simplify 2.0 into 2.0
11.589 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in beta
11.589 * [taylor]: Taking taylor expansion of (/ 1 alpha) in beta
11.589 * [taylor]: Taking taylor expansion of alpha in beta
11.589 * [backup-simplify]: Simplify alpha into alpha
11.589 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
11.589 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in beta
11.589 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in beta
11.589 * [taylor]: Taking taylor expansion of 2.0 in beta
11.589 * [backup-simplify]: Simplify 2.0 into 2.0
11.589 * [taylor]: Taking taylor expansion of (/ 1 i) in beta
11.589 * [taylor]: Taking taylor expansion of i in beta
11.589 * [backup-simplify]: Simplify i into i
11.589 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
11.589 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
11.589 * [taylor]: Taking taylor expansion of beta in beta
11.590 * [backup-simplify]: Simplify 0 into 0
11.590 * [backup-simplify]: Simplify 1 into 1
11.590 * [backup-simplify]: Simplify (/ 1 1) into 1
11.590 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in beta
11.590 * [taylor]: Taking taylor expansion of (/ 1 alpha) in beta
11.590 * [taylor]: Taking taylor expansion of alpha in beta
11.590 * [backup-simplify]: Simplify alpha into alpha
11.590 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
11.590 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in beta
11.590 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in beta
11.590 * [taylor]: Taking taylor expansion of 2.0 in beta
11.590 * [backup-simplify]: Simplify 2.0 into 2.0
11.590 * [taylor]: Taking taylor expansion of (/ 1 i) in beta
11.590 * [taylor]: Taking taylor expansion of i in beta
11.590 * [backup-simplify]: Simplify i into i
11.590 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
11.590 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
11.590 * [taylor]: Taking taylor expansion of beta in beta
11.590 * [backup-simplify]: Simplify 0 into 0
11.590 * [backup-simplify]: Simplify 1 into 1
11.591 * [backup-simplify]: Simplify (/ 1 1) into 1
11.591 * [backup-simplify]: Simplify (- 1) into -1
11.592 * [backup-simplify]: Simplify (+ 0 -1) into -1
11.592 * [backup-simplify]: Simplify (+ 0 1) into 1
11.592 * [backup-simplify]: Simplify (* -1 1) into -1
11.593 * [backup-simplify]: Simplify (+ 0 1) into 1
11.593 * [backup-simplify]: Simplify (+ 0 1) into 1
11.594 * [backup-simplify]: Simplify (- 1) into -1
11.594 * [backup-simplify]: Simplify (+ 0 -1) into -1
11.594 * [backup-simplify]: Simplify (+ 0 1) into 1
11.595 * [backup-simplify]: Simplify (+ 0 1) into 1
11.595 * [backup-simplify]: Simplify (* -1 1) into -1
11.596 * [backup-simplify]: Simplify (/ -1 -1) into 1
11.596 * [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
11.596 * [taylor]: Taking taylor expansion of (* (- (/ 1 alpha) (/ 1 beta)) (+ (/ 1 alpha) (/ 1 beta))) in alpha
11.596 * [taylor]: Taking taylor expansion of (- (/ 1 alpha) (/ 1 beta)) in alpha
11.596 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
11.596 * [taylor]: Taking taylor expansion of alpha in alpha
11.596 * [backup-simplify]: Simplify 0 into 0
11.596 * [backup-simplify]: Simplify 1 into 1
11.596 * [backup-simplify]: Simplify (/ 1 1) into 1
11.596 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
11.596 * [taylor]: Taking taylor expansion of beta in alpha
11.596 * [backup-simplify]: Simplify beta into beta
11.596 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
11.596 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (/ 1 beta)) in alpha
11.596 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
11.597 * [taylor]: Taking taylor expansion of alpha in alpha
11.597 * [backup-simplify]: Simplify 0 into 0
11.597 * [backup-simplify]: Simplify 1 into 1
11.597 * [backup-simplify]: Simplify (/ 1 1) into 1
11.597 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
11.597 * [taylor]: Taking taylor expansion of beta in alpha
11.597 * [backup-simplify]: Simplify beta into beta
11.597 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
11.597 * [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
11.597 * [taylor]: Taking taylor expansion of (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) in alpha
11.597 * [taylor]: Taking taylor expansion of 2.0 in alpha
11.597 * [backup-simplify]: Simplify 2.0 into 2.0
11.597 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in alpha
11.597 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
11.597 * [taylor]: Taking taylor expansion of alpha in alpha
11.597 * [backup-simplify]: Simplify 0 into 0
11.597 * [backup-simplify]: Simplify 1 into 1
11.598 * [backup-simplify]: Simplify (/ 1 1) into 1
11.598 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in alpha
11.598 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
11.598 * [taylor]: Taking taylor expansion of 2.0 in alpha
11.598 * [backup-simplify]: Simplify 2.0 into 2.0
11.598 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
11.598 * [taylor]: Taking taylor expansion of i in alpha
11.598 * [backup-simplify]: Simplify i into i
11.598 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
11.598 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
11.598 * [taylor]: Taking taylor expansion of beta in alpha
11.598 * [backup-simplify]: Simplify beta into beta
11.598 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
11.598 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in alpha
11.598 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
11.598 * [taylor]: Taking taylor expansion of alpha in alpha
11.598 * [backup-simplify]: Simplify 0 into 0
11.598 * [backup-simplify]: Simplify 1 into 1
11.599 * [backup-simplify]: Simplify (/ 1 1) into 1
11.599 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in alpha
11.599 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
11.599 * [taylor]: Taking taylor expansion of 2.0 in alpha
11.599 * [backup-simplify]: Simplify 2.0 into 2.0
11.599 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
11.599 * [taylor]: Taking taylor expansion of i in alpha
11.599 * [backup-simplify]: Simplify i into i
11.599 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
11.599 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
11.599 * [taylor]: Taking taylor expansion of beta in alpha
11.599 * [backup-simplify]: Simplify beta into beta
11.599 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
11.600 * [backup-simplify]: Simplify (+ 1 0) into 1
11.600 * [backup-simplify]: Simplify (+ 1 0) into 1
11.600 * [backup-simplify]: Simplify (* 1 1) into 1
11.601 * [backup-simplify]: Simplify (+ 1 0) into 1
11.601 * [backup-simplify]: Simplify (- 1) into -1
11.602 * [backup-simplify]: Simplify (+ 0 -1) into -1
11.602 * [backup-simplify]: Simplify (+ 1 0) into 1
11.603 * [backup-simplify]: Simplify (* -1 1) into -1
11.603 * [backup-simplify]: Simplify (/ 1 -1) into -1
11.603 * [taylor]: Taking taylor expansion of (/ (* (- (/ 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
11.603 * [taylor]: Taking taylor expansion of (* (- (/ 1 alpha) (/ 1 beta)) (+ (/ 1 alpha) (/ 1 beta))) in alpha
11.603 * [taylor]: Taking taylor expansion of (- (/ 1 alpha) (/ 1 beta)) in alpha
11.603 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
11.603 * [taylor]: Taking taylor expansion of alpha in alpha
11.603 * [backup-simplify]: Simplify 0 into 0
11.603 * [backup-simplify]: Simplify 1 into 1
11.604 * [backup-simplify]: Simplify (/ 1 1) into 1
11.604 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
11.604 * [taylor]: Taking taylor expansion of beta in alpha
11.604 * [backup-simplify]: Simplify beta into beta
11.604 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
11.604 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (/ 1 beta)) in alpha
11.604 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
11.604 * [taylor]: Taking taylor expansion of alpha in alpha
11.604 * [backup-simplify]: Simplify 0 into 0
11.604 * [backup-simplify]: Simplify 1 into 1
11.604 * [backup-simplify]: Simplify (/ 1 1) into 1
11.604 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
11.604 * [taylor]: Taking taylor expansion of beta in alpha
11.604 * [backup-simplify]: Simplify beta into beta
11.604 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
11.604 * [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
11.604 * [taylor]: Taking taylor expansion of (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) in alpha
11.604 * [taylor]: Taking taylor expansion of 2.0 in alpha
11.604 * [backup-simplify]: Simplify 2.0 into 2.0
11.604 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in alpha
11.604 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
11.604 * [taylor]: Taking taylor expansion of alpha in alpha
11.604 * [backup-simplify]: Simplify 0 into 0
11.604 * [backup-simplify]: Simplify 1 into 1
11.605 * [backup-simplify]: Simplify (/ 1 1) into 1
11.605 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in alpha
11.605 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
11.605 * [taylor]: Taking taylor expansion of 2.0 in alpha
11.605 * [backup-simplify]: Simplify 2.0 into 2.0
11.605 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
11.605 * [taylor]: Taking taylor expansion of i in alpha
11.605 * [backup-simplify]: Simplify i into i
11.605 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
11.605 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
11.605 * [taylor]: Taking taylor expansion of beta in alpha
11.605 * [backup-simplify]: Simplify beta into beta
11.605 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
11.605 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in alpha
11.605 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
11.605 * [taylor]: Taking taylor expansion of alpha in alpha
11.605 * [backup-simplify]: Simplify 0 into 0
11.605 * [backup-simplify]: Simplify 1 into 1
11.605 * [backup-simplify]: Simplify (/ 1 1) into 1
11.605 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in alpha
11.605 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
11.605 * [taylor]: Taking taylor expansion of 2.0 in alpha
11.605 * [backup-simplify]: Simplify 2.0 into 2.0
11.605 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
11.605 * [taylor]: Taking taylor expansion of i in alpha
11.605 * [backup-simplify]: Simplify i into i
11.605 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
11.605 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
11.605 * [taylor]: Taking taylor expansion of beta in alpha
11.605 * [backup-simplify]: Simplify beta into beta
11.605 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
11.606 * [backup-simplify]: Simplify (+ 1 0) into 1
11.606 * [backup-simplify]: Simplify (+ 1 0) into 1
11.606 * [backup-simplify]: Simplify (* 1 1) into 1
11.607 * [backup-simplify]: Simplify (+ 1 0) into 1
11.607 * [backup-simplify]: Simplify (- 1) into -1
11.607 * [backup-simplify]: Simplify (+ 0 -1) into -1
11.607 * [backup-simplify]: Simplify (+ 1 0) into 1
11.608 * [backup-simplify]: Simplify (* -1 1) into -1
11.608 * [backup-simplify]: Simplify (/ 1 -1) into -1
11.608 * [taylor]: Taking taylor expansion of -1 in beta
11.608 * [backup-simplify]: Simplify -1 into -1
11.608 * [taylor]: Taking taylor expansion of -1 in i
11.608 * [backup-simplify]: Simplify -1 into -1
11.608 * [backup-simplify]: Simplify 0 into 0
11.609 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.609 * [backup-simplify]: Simplify (+ 0 (/ 1 beta)) into (/ 1 beta)
11.609 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.609 * [backup-simplify]: Simplify (- (/ 1 beta)) into (- (/ 1 beta))
11.609 * [backup-simplify]: Simplify (+ 0 (- (/ 1 beta))) into (- (/ 1 beta))
11.609 * [backup-simplify]: Simplify (+ (* 1 (/ 1 beta)) (* (- (/ 1 beta)) 1)) into 0
11.610 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.610 * [backup-simplify]: Simplify (* 2.0 (/ 1 i)) into (/ 2.0 i)
11.610 * [backup-simplify]: Simplify (+ (/ 2.0 i) (/ 1 beta)) into (+ (* 2.0 (/ 1 i)) (/ 1 beta))
11.610 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 (/ 1 i)) (/ 1 beta))) into (+ (* 2.0 (/ 1 i)) (/ 1 beta))
11.611 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.611 * [backup-simplify]: Simplify (* 2.0 (/ 1 i)) into (/ 2.0 i)
11.611 * [backup-simplify]: Simplify (+ (/ 2.0 i) (/ 1 beta)) into (+ (* 2.0 (/ 1 i)) (/ 1 beta))
11.611 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 (/ 1 i)) (/ 1 beta))) into (+ (* 2.0 (/ 1 i)) (/ 1 beta))
11.611 * [backup-simplify]: Simplify (- (+ (* 2.0 (/ 1 i)) (/ 1 beta))) into (- (+ (* 2.0 (/ 1 i)) (/ 1 beta)))
11.611 * [backup-simplify]: Simplify (+ 2.0 (- (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) into (- 2.0 (+ (* 2.0 (/ 1 i)) (/ 1 beta)))
11.611 * [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))))
11.612 * [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)
11.612 * [taylor]: Taking taylor expansion of (- (+ (* 4.0 (/ 1 i)) (* 2 (/ 1 beta))) 2.0) in beta
11.612 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 i)) (* 2 (/ 1 beta))) in beta
11.612 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 i)) in beta
11.612 * [taylor]: Taking taylor expansion of 4.0 in beta
11.612 * [backup-simplify]: Simplify 4.0 into 4.0
11.612 * [taylor]: Taking taylor expansion of (/ 1 i) in beta
11.612 * [taylor]: Taking taylor expansion of i in beta
11.612 * [backup-simplify]: Simplify i into i
11.612 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
11.612 * [taylor]: Taking taylor expansion of (* 2 (/ 1 beta)) in beta
11.612 * [taylor]: Taking taylor expansion of 2 in beta
11.612 * [backup-simplify]: Simplify 2 into 2
11.612 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
11.612 * [taylor]: Taking taylor expansion of beta in beta
11.612 * [backup-simplify]: Simplify 0 into 0
11.612 * [backup-simplify]: Simplify 1 into 1
11.612 * [backup-simplify]: Simplify (/ 1 1) into 1
11.612 * [taylor]: Taking taylor expansion of 2.0 in beta
11.612 * [backup-simplify]: Simplify 2.0 into 2.0
11.612 * [backup-simplify]: Simplify (* 4.0 (/ 1 i)) into (/ 4.0 i)
11.613 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.613 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0
11.613 * [backup-simplify]: Simplify (+ (/ 4.0 i) 0) into (* 4.0 (/ 1 i))
11.614 * [backup-simplify]: Simplify (- 2.0) into (- 2.0)
11.614 * [backup-simplify]: Simplify (+ (* 4.0 (/ 1 i)) (- 2.0)) into (- (* 4.0 (/ 1 i)) 2.0)
11.614 * [taylor]: Taking taylor expansion of (- (* 4.0 (/ 1 i)) 2.0) in i
11.614 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 i)) in i
11.614 * [taylor]: Taking taylor expansion of 4.0 in i
11.614 * [backup-simplify]: Simplify 4.0 into 4.0
11.614 * [taylor]: Taking taylor expansion of (/ 1 i) in i
11.614 * [taylor]: Taking taylor expansion of i in i
11.614 * [backup-simplify]: Simplify 0 into 0
11.614 * [backup-simplify]: Simplify 1 into 1
11.614 * [backup-simplify]: Simplify (/ 1 1) into 1
11.614 * [taylor]: Taking taylor expansion of 2.0 in i
11.614 * [backup-simplify]: Simplify 2.0 into 2.0
11.615 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.615 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.616 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.617 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
11.617 * [backup-simplify]: Simplify (- 0) into 0
11.617 * [backup-simplify]: Simplify (+ 0 0) into 0
11.617 * [backup-simplify]: Simplify 0 into 0
11.617 * [taylor]: Taking taylor expansion of 0 in i
11.617 * [backup-simplify]: Simplify 0 into 0
11.617 * [backup-simplify]: Simplify 0 into 0
11.617 * [backup-simplify]: Simplify 0 into 0
11.618 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.618 * [backup-simplify]: Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
11.618 * [backup-simplify]: Simplify (+ 0 0) into 0
11.618 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.619 * [backup-simplify]: Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
11.619 * [backup-simplify]: Simplify (- 0) into 0
11.619 * [backup-simplify]: Simplify (+ 0 0) into 0
11.620 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- (/ 1 beta)) (/ 1 beta)) (* 0 1))) into (- (/ 1 (pow beta 2)))
11.620 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.620 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
11.621 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 (/ 1 i))) into 0
11.621 * [backup-simplify]: Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
11.621 * [backup-simplify]: Simplify (+ 0 0) into 0
11.621 * [backup-simplify]: Simplify (+ 0 0) into 0
11.622 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.622 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
11.622 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 (/ 1 i))) into 0
11.622 * [backup-simplify]: Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
11.622 * [backup-simplify]: Simplify (+ 0 0) into 0
11.623 * [backup-simplify]: Simplify (+ 0 0) into 0
11.623 * [backup-simplify]: Simplify (- 0) into 0
11.623 * [backup-simplify]: Simplify (+ 0 0) into 0
11.624 * [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)))))
11.625 * [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))))
11.625 * [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
11.625 * [taylor]: Taking taylor expansion of (+ (* 6.0 (/ 1 beta)) (* 12.0 (/ 1 i))) in beta
11.625 * [taylor]: Taking taylor expansion of (* 6.0 (/ 1 beta)) in beta
11.625 * [taylor]: Taking taylor expansion of 6.0 in beta
11.625 * [backup-simplify]: Simplify 6.0 into 6.0
11.625 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
11.625 * [taylor]: Taking taylor expansion of beta in beta
11.625 * [backup-simplify]: Simplify 0 into 0
11.626 * [backup-simplify]: Simplify 1 into 1
11.626 * [backup-simplify]: Simplify (/ 1 1) into 1
11.626 * [taylor]: Taking taylor expansion of (* 12.0 (/ 1 i)) in beta
11.626 * [taylor]: Taking taylor expansion of 12.0 in beta
11.626 * [backup-simplify]: Simplify 12.0 into 12.0
11.626 * [taylor]: Taking taylor expansion of (/ 1 i) in beta
11.626 * [taylor]: Taking taylor expansion of i in beta
11.626 * [backup-simplify]: Simplify i into i
11.626 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
11.626 * [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
11.626 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow beta 2))) in beta
11.626 * [taylor]: Taking taylor expansion of 2 in beta
11.626 * [backup-simplify]: Simplify 2 into 2
11.626 * [taylor]: Taking taylor expansion of (/ 1 (pow beta 2)) in beta
11.626 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
11.626 * [taylor]: Taking taylor expansion of beta in beta
11.626 * [backup-simplify]: Simplify 0 into 0
11.626 * [backup-simplify]: Simplify 1 into 1
11.627 * [backup-simplify]: Simplify (* 1 1) into 1
11.627 * [backup-simplify]: Simplify (/ 1 1) into 1
11.627 * [taylor]: Taking taylor expansion of (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 12.0 (/ 1 (* i beta))) 4.0)) in beta
11.627 * [taylor]: Taking taylor expansion of (* 12.0 (/ 1 (pow i 2))) in beta
11.627 * [taylor]: Taking taylor expansion of 12.0 in beta
11.627 * [backup-simplify]: Simplify 12.0 into 12.0
11.627 * [taylor]: Taking taylor expansion of (/ 1 (pow i 2)) in beta
11.627 * [taylor]: Taking taylor expansion of (pow i 2) in beta
11.627 * [taylor]: Taking taylor expansion of i in beta
11.627 * [backup-simplify]: Simplify i into i
11.627 * [backup-simplify]: Simplify (* i i) into (pow i 2)
11.627 * [backup-simplify]: Simplify (/ 1 (pow i 2)) into (/ 1 (pow i 2))
11.627 * [taylor]: Taking taylor expansion of (+ (* 12.0 (/ 1 (* i beta))) 4.0) in beta
11.627 * [taylor]: Taking taylor expansion of (* 12.0 (/ 1 (* i beta))) in beta
11.627 * [taylor]: Taking taylor expansion of 12.0 in beta
11.627 * [backup-simplify]: Simplify 12.0 into 12.0
11.627 * [taylor]: Taking taylor expansion of (/ 1 (* i beta)) in beta
11.627 * [taylor]: Taking taylor expansion of (* i beta) in beta
11.627 * [taylor]: Taking taylor expansion of i in beta
11.627 * [backup-simplify]: Simplify i into i
11.627 * [taylor]: Taking taylor expansion of beta in beta
11.627 * [backup-simplify]: Simplify 0 into 0
11.627 * [backup-simplify]: Simplify 1 into 1
11.627 * [backup-simplify]: Simplify (* i 0) into 0
11.628 * [backup-simplify]: Simplify (+ (* i 1) (* 0 0)) into i
11.628 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
11.628 * [taylor]: Taking taylor expansion of 4.0 in beta
11.628 * [backup-simplify]: Simplify 4.0 into 4.0
11.628 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.629 * [backup-simplify]: Simplify (+ (* 6.0 0) (* 0 1)) into 0
11.629 * [backup-simplify]: Simplify (* 12.0 (/ 1 i)) into (/ 12.0 i)
11.629 * [backup-simplify]: Simplify (+ 0 (/ 12.0 i)) into (* 12.0 (/ 1 i))
11.629 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
11.630 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.630 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.631 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.631 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0
11.632 * [backup-simplify]: Simplify (* 12.0 (/ 1 (pow i 2))) into (/ 12.0 (pow i 2))
11.632 * [backup-simplify]: Simplify (+ (* i 0) (+ (* 0 1) (* 0 0))) into 0
11.632 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
11.632 * [backup-simplify]: Simplify (+ (* 12.0 0) (* 0 (/ 1 i))) into 0
11.633 * [backup-simplify]: Simplify (+ 0 4.0) into 4.0
11.633 * [backup-simplify]: Simplify (+ (/ 12.0 (pow i 2)) 4.0) into (+ (* 12.0 (/ 1 (pow i 2))) 4.0)
11.633 * [backup-simplify]: Simplify (+ 0 (+ (* 12.0 (/ 1 (pow i 2))) 4.0)) into (+ (* 12.0 (/ 1 (pow i 2))) 4.0)
11.633 * [backup-simplify]: Simplify (- (+ (* 12.0 (/ 1 (pow i 2))) 4.0)) into (- (+ (* 12.0 (/ 1 (pow i 2))) 4.0))
11.633 * [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))
11.634 * [taylor]: Taking taylor expansion of (- (* 12.0 (/ 1 i)) (+ (* 12.0 (/ 1 (pow i 2))) 4.0)) in i
11.634 * [taylor]: Taking taylor expansion of (* 12.0 (/ 1 i)) in i
11.634 * [taylor]: Taking taylor expansion of 12.0 in i
11.634 * [backup-simplify]: Simplify 12.0 into 12.0
11.634 * [taylor]: Taking taylor expansion of (/ 1 i) in i
11.634 * [taylor]: Taking taylor expansion of i in i
11.634 * [backup-simplify]: Simplify 0 into 0
11.634 * [backup-simplify]: Simplify 1 into 1
11.634 * [backup-simplify]: Simplify (/ 1 1) into 1
11.634 * [taylor]: Taking taylor expansion of (+ (* 12.0 (/ 1 (pow i 2))) 4.0) in i
11.634 * [taylor]: Taking taylor expansion of (* 12.0 (/ 1 (pow i 2))) in i
11.634 * [taylor]: Taking taylor expansion of 12.0 in i
11.634 * [backup-simplify]: Simplify 12.0 into 12.0
11.634 * [taylor]: Taking taylor expansion of (/ 1 (pow i 2)) in i
11.634 * [taylor]: Taking taylor expansion of (pow i 2) in i
11.634 * [taylor]: Taking taylor expansion of i in i
11.634 * [backup-simplify]: Simplify 0 into 0
11.634 * [backup-simplify]: Simplify 1 into 1
11.634 * [backup-simplify]: Simplify (* 1 1) into 1
11.635 * [backup-simplify]: Simplify (/ 1 1) into 1
11.635 * [taylor]: Taking taylor expansion of 4.0 in i
11.635 * [backup-simplify]: Simplify 4.0 into 4.0
11.635 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.636 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.637 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.638 * [backup-simplify]: Simplify (+ (* 12.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
11.639 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
11.640 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.641 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.642 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
11.643 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
11.644 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.645 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.646 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.647 * [backup-simplify]: Simplify (+ (* 12.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
11.648 * [backup-simplify]: Simplify (+ 0 0) into 0
11.648 * [backup-simplify]: Simplify (- 0) into 0
11.649 * [backup-simplify]: Simplify (+ 0 0) into 0
11.649 * [backup-simplify]: Simplify 0 into 0
11.649 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
11.650 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 i))) into 0
11.650 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.651 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0
11.652 * [backup-simplify]: Simplify (+ 0 0) into 0
11.652 * [backup-simplify]: Simplify (- 0) into 0
11.653 * [backup-simplify]: Simplify (+ 0 0) into 0
11.653 * [taylor]: Taking taylor expansion of 0 in i
11.653 * [backup-simplify]: Simplify 0 into 0
11.653 * [backup-simplify]: Simplify 0 into 0
11.653 * [backup-simplify]: Simplify 0 into 0
11.653 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2)
11.654 * [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))))))
11.654 * [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
11.654 * [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
11.654 * [taylor]: Taking taylor expansion of (+ (/ (pow beta 2) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta))))) 1.0) in i
11.654 * [taylor]: Taking taylor expansion of (/ (pow beta 2) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta))))) in i
11.654 * [taylor]: Taking taylor expansion of (pow beta 2) in i
11.654 * [taylor]: Taking taylor expansion of beta in i
11.654 * [backup-simplify]: Simplify beta into beta
11.654 * [taylor]: Taking taylor expansion of (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta)))) in i
11.654 * [taylor]: Taking taylor expansion of (+ alpha (+ (* 2.0 i) beta)) in i
11.654 * [taylor]: Taking taylor expansion of alpha in i
11.654 * [backup-simplify]: Simplify alpha into alpha
11.654 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in i
11.654 * [taylor]: Taking taylor expansion of (* 2.0 i) in i
11.654 * [taylor]: Taking taylor expansion of 2.0 in i
11.654 * [backup-simplify]: Simplify 2.0 into 2.0
11.654 * [taylor]: Taking taylor expansion of i in i
11.654 * [backup-simplify]: Simplify 0 into 0
11.654 * [backup-simplify]: Simplify 1 into 1
11.654 * [taylor]: Taking taylor expansion of beta in i
11.654 * [backup-simplify]: Simplify beta into beta
11.654 * [taylor]: Taking taylor expansion of (+ alpha (+ 2.0 (+ (* 2.0 i) beta))) in i
11.654 * [taylor]: Taking taylor expansion of alpha in i
11.655 * [backup-simplify]: Simplify alpha into alpha
11.655 * [taylor]: Taking taylor expansion of (+ 2.0 (+ (* 2.0 i) beta)) in i
11.655 * [taylor]: Taking taylor expansion of 2.0 in i
11.655 * [backup-simplify]: Simplify 2.0 into 2.0
11.655 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in i
11.655 * [taylor]: Taking taylor expansion of (* 2.0 i) in i
11.655 * [taylor]: Taking taylor expansion of 2.0 in i
11.655 * [backup-simplify]: Simplify 2.0 into 2.0
11.655 * [taylor]: Taking taylor expansion of i in i
11.655 * [backup-simplify]: Simplify 0 into 0
11.655 * [backup-simplify]: Simplify 1 into 1
11.655 * [taylor]: Taking taylor expansion of beta in i
11.655 * [backup-simplify]: Simplify beta into beta
11.655 * [backup-simplify]: Simplify (* beta beta) into (pow beta 2)
11.655 * [backup-simplify]: Simplify (* 2.0 0) into 0
11.656 * [backup-simplify]: Simplify (+ 0 beta) into beta
11.656 * [backup-simplify]: Simplify (+ alpha beta) into (+ alpha beta)
11.656 * [backup-simplify]: Simplify (* 2.0 0) into 0
11.656 * [backup-simplify]: Simplify (+ 0 beta) into beta
11.656 * [backup-simplify]: Simplify (+ 2.0 beta) into (+ beta 2.0)
11.656 * [backup-simplify]: Simplify (+ alpha (+ beta 2.0)) into (+ alpha (+ beta 2.0))
11.656 * [backup-simplify]: Simplify (* (+ alpha beta) (+ alpha (+ beta 2.0))) into (* (+ alpha beta) (+ alpha (+ beta 2.0)))
11.657 * [backup-simplify]: Simplify (/ (pow beta 2) (* (+ alpha beta) (+ alpha (+ beta 2.0)))) into (/ (pow beta 2) (* (+ alpha beta) (+ alpha (+ beta 2.0))))
11.657 * [taylor]: Taking taylor expansion of 1.0 in i
11.657 * [backup-simplify]: Simplify 1.0 into 1.0
11.657 * [taylor]: Taking taylor expansion of (/ (pow alpha 2) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta))))) in i
11.657 * [taylor]: Taking taylor expansion of (pow alpha 2) in i
11.657 * [taylor]: Taking taylor expansion of alpha in i
11.657 * [backup-simplify]: Simplify alpha into alpha
11.657 * [taylor]: Taking taylor expansion of (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta)))) in i
11.657 * [taylor]: Taking taylor expansion of (+ alpha (+ (* 2.0 i) beta)) in i
11.657 * [taylor]: Taking taylor expansion of alpha in i
11.657 * [backup-simplify]: Simplify alpha into alpha
11.657 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in i
11.657 * [taylor]: Taking taylor expansion of (* 2.0 i) in i
11.657 * [taylor]: Taking taylor expansion of 2.0 in i
11.657 * [backup-simplify]: Simplify 2.0 into 2.0
11.657 * [taylor]: Taking taylor expansion of i in i
11.657 * [backup-simplify]: Simplify 0 into 0
11.657 * [backup-simplify]: Simplify 1 into 1
11.657 * [taylor]: Taking taylor expansion of beta in i
11.657 * [backup-simplify]: Simplify beta into beta
11.657 * [taylor]: Taking taylor expansion of (+ alpha (+ 2.0 (+ (* 2.0 i) beta))) in i
11.657 * [taylor]: Taking taylor expansion of alpha in i
11.657 * [backup-simplify]: Simplify alpha into alpha
11.657 * [taylor]: Taking taylor expansion of (+ 2.0 (+ (* 2.0 i) beta)) in i
11.657 * [taylor]: Taking taylor expansion of 2.0 in i
11.658 * [backup-simplify]: Simplify 2.0 into 2.0
11.658 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in i
11.658 * [taylor]: Taking taylor expansion of (* 2.0 i) in i
11.658 * [taylor]: Taking taylor expansion of 2.0 in i
11.658 * [backup-simplify]: Simplify 2.0 into 2.0
11.658 * [taylor]: Taking taylor expansion of i in i
11.658 * [backup-simplify]: Simplify 0 into 0
11.658 * [backup-simplify]: Simplify 1 into 1
11.658 * [taylor]: Taking taylor expansion of beta in i
11.658 * [backup-simplify]: Simplify beta into beta
11.658 * [backup-simplify]: Simplify (* alpha alpha) into (pow alpha 2)
11.658 * [backup-simplify]: Simplify (* 2.0 0) into 0
11.658 * [backup-simplify]: Simplify (+ 0 beta) into beta
11.658 * [backup-simplify]: Simplify (+ alpha beta) into (+ alpha beta)
11.659 * [backup-simplify]: Simplify (* 2.0 0) into 0
11.659 * [backup-simplify]: Simplify (+ 0 beta) into beta
11.659 * [backup-simplify]: Simplify (+ 2.0 beta) into (+ beta 2.0)
11.659 * [backup-simplify]: Simplify (+ alpha (+ beta 2.0)) into (+ alpha (+ beta 2.0))
11.659 * [backup-simplify]: Simplify (* (+ alpha beta) (+ alpha (+ beta 2.0))) into (* (+ alpha beta) (+ alpha (+ beta 2.0)))
11.660 * [backup-simplify]: Simplify (/ (pow alpha 2) (* (+ alpha beta) (+ alpha (+ beta 2.0)))) into (/ (pow alpha 2) (* (+ alpha beta) (+ alpha (+ beta 2.0))))
11.660 * [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
11.660 * [taylor]: Taking taylor expansion of (+ (/ (pow beta 2) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta))))) 1.0) in beta
11.660 * [taylor]: Taking taylor expansion of (/ (pow beta 2) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta))))) in beta
11.660 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
11.660 * [taylor]: Taking taylor expansion of beta in beta
11.660 * [backup-simplify]: Simplify 0 into 0
11.660 * [backup-simplify]: Simplify 1 into 1
11.660 * [taylor]: Taking taylor expansion of (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta)))) in beta
11.660 * [taylor]: Taking taylor expansion of (+ alpha (+ (* 2.0 i) beta)) in beta
11.660 * [taylor]: Taking taylor expansion of alpha in beta
11.660 * [backup-simplify]: Simplify alpha into alpha
11.660 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
11.660 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
11.660 * [taylor]: Taking taylor expansion of 2.0 in beta
11.660 * [backup-simplify]: Simplify 2.0 into 2.0
11.660 * [taylor]: Taking taylor expansion of i in beta
11.660 * [backup-simplify]: Simplify i into i
11.660 * [taylor]: Taking taylor expansion of beta in beta
11.660 * [backup-simplify]: Simplify 0 into 0
11.660 * [backup-simplify]: Simplify 1 into 1
11.660 * [taylor]: Taking taylor expansion of (+ alpha (+ 2.0 (+ (* 2.0 i) beta))) in beta
11.660 * [taylor]: Taking taylor expansion of alpha in beta
11.660 * [backup-simplify]: Simplify alpha into alpha
11.660 * [taylor]: Taking taylor expansion of (+ 2.0 (+ (* 2.0 i) beta)) in beta
11.660 * [taylor]: Taking taylor expansion of 2.0 in beta
11.660 * [backup-simplify]: Simplify 2.0 into 2.0
11.661 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
11.661 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
11.661 * [taylor]: Taking taylor expansion of 2.0 in beta
11.661 * [backup-simplify]: Simplify 2.0 into 2.0
11.661 * [taylor]: Taking taylor expansion of i in beta
11.661 * [backup-simplify]: Simplify i into i
11.661 * [taylor]: Taking taylor expansion of beta in beta
11.661 * [backup-simplify]: Simplify 0 into 0
11.661 * [backup-simplify]: Simplify 1 into 1
11.661 * [backup-simplify]: Simplify (* 1 1) into 1
11.661 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
11.661 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
11.661 * [backup-simplify]: Simplify (+ alpha (* 2.0 i)) into (+ alpha (* 2.0 i))
11.662 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
11.662 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
11.662 * [backup-simplify]: Simplify (+ 2.0 (* 2.0 i)) into (+ (* 2.0 i) 2.0)
11.662 * [backup-simplify]: Simplify (+ alpha (+ (* 2.0 i) 2.0)) into (+ alpha (+ (* 2.0 i) 2.0))
11.662 * [backup-simplify]: Simplify (* (+ alpha (* 2.0 i)) (+ alpha (+ (* 2.0 i) 2.0))) into (* (+ alpha (+ (* 2.0 i) 2.0)) (+ alpha (* 2.0 i)))
11.662 * [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))))
11.662 * [taylor]: Taking taylor expansion of 1.0 in beta
11.662 * [backup-simplify]: Simplify 1.0 into 1.0
11.662 * [taylor]: Taking taylor expansion of (/ (pow alpha 2) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta))))) in beta
11.663 * [taylor]: Taking taylor expansion of (pow alpha 2) in beta
11.663 * [taylor]: Taking taylor expansion of alpha in beta
11.663 * [backup-simplify]: Simplify alpha into alpha
11.663 * [taylor]: Taking taylor expansion of (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta)))) in beta
11.663 * [taylor]: Taking taylor expansion of (+ alpha (+ (* 2.0 i) beta)) in beta
11.663 * [taylor]: Taking taylor expansion of alpha in beta
11.663 * [backup-simplify]: Simplify alpha into alpha
11.663 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
11.663 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
11.663 * [taylor]: Taking taylor expansion of 2.0 in beta
11.663 * [backup-simplify]: Simplify 2.0 into 2.0
11.663 * [taylor]: Taking taylor expansion of i in beta
11.663 * [backup-simplify]: Simplify i into i
11.663 * [taylor]: Taking taylor expansion of beta in beta
11.663 * [backup-simplify]: Simplify 0 into 0
11.663 * [backup-simplify]: Simplify 1 into 1
11.663 * [taylor]: Taking taylor expansion of (+ alpha (+ 2.0 (+ (* 2.0 i) beta))) in beta
11.663 * [taylor]: Taking taylor expansion of alpha in beta
11.663 * [backup-simplify]: Simplify alpha into alpha
11.663 * [taylor]: Taking taylor expansion of (+ 2.0 (+ (* 2.0 i) beta)) in beta
11.663 * [taylor]: Taking taylor expansion of 2.0 in beta
11.663 * [backup-simplify]: Simplify 2.0 into 2.0
11.663 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
11.663 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
11.663 * [taylor]: Taking taylor expansion of 2.0 in beta
11.663 * [backup-simplify]: Simplify 2.0 into 2.0
11.663 * [taylor]: Taking taylor expansion of i in beta
11.663 * [backup-simplify]: Simplify i into i
11.663 * [taylor]: Taking taylor expansion of beta in beta
11.663 * [backup-simplify]: Simplify 0 into 0
11.663 * [backup-simplify]: Simplify 1 into 1
11.664 * [backup-simplify]: Simplify (* alpha alpha) into (pow alpha 2)
11.664 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
11.664 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
11.664 * [backup-simplify]: Simplify (+ alpha (* 2.0 i)) into (+ alpha (* 2.0 i))
11.664 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
11.664 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
11.664 * [backup-simplify]: Simplify (+ 2.0 (* 2.0 i)) into (+ (* 2.0 i) 2.0)
11.664 * [backup-simplify]: Simplify (+ alpha (+ (* 2.0 i) 2.0)) into (+ alpha (+ (* 2.0 i) 2.0))
11.664 * [backup-simplify]: Simplify (* (+ alpha (* 2.0 i)) (+ alpha (+ (* 2.0 i) 2.0))) into (* (+ alpha (+ (* 2.0 i) 2.0)) (+ alpha (* 2.0 i)))
11.665 * [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))))
11.665 * [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
11.665 * [taylor]: Taking taylor expansion of (+ (/ (pow beta 2) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta))))) 1.0) in alpha
11.665 * [taylor]: Taking taylor expansion of (/ (pow beta 2) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta))))) in alpha
11.665 * [taylor]: Taking taylor expansion of (pow beta 2) in alpha
11.665 * [taylor]: Taking taylor expansion of beta in alpha
11.665 * [backup-simplify]: Simplify beta into beta
11.665 * [taylor]: Taking taylor expansion of (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta)))) in alpha
11.665 * [taylor]: Taking taylor expansion of (+ alpha (+ (* 2.0 i) beta)) in alpha
11.665 * [taylor]: Taking taylor expansion of alpha in alpha
11.665 * [backup-simplify]: Simplify 0 into 0
11.665 * [backup-simplify]: Simplify 1 into 1
11.665 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in alpha
11.665 * [taylor]: Taking taylor expansion of (* 2.0 i) in alpha
11.665 * [taylor]: Taking taylor expansion of 2.0 in alpha
11.665 * [backup-simplify]: Simplify 2.0 into 2.0
11.665 * [taylor]: Taking taylor expansion of i in alpha
11.665 * [backup-simplify]: Simplify i into i
11.665 * [taylor]: Taking taylor expansion of beta in alpha
11.666 * [backup-simplify]: Simplify beta into beta
11.666 * [taylor]: Taking taylor expansion of (+ alpha (+ 2.0 (+ (* 2.0 i) beta))) in alpha
11.666 * [taylor]: Taking taylor expansion of alpha in alpha
11.666 * [backup-simplify]: Simplify 0 into 0
11.666 * [backup-simplify]: Simplify 1 into 1
11.666 * [taylor]: Taking taylor expansion of (+ 2.0 (+ (* 2.0 i) beta)) in alpha
11.666 * [taylor]: Taking taylor expansion of 2.0 in alpha
11.666 * [backup-simplify]: Simplify 2.0 into 2.0
11.666 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in alpha
11.666 * [taylor]: Taking taylor expansion of (* 2.0 i) in alpha
11.666 * [taylor]: Taking taylor expansion of 2.0 in alpha
11.666 * [backup-simplify]: Simplify 2.0 into 2.0
11.666 * [taylor]: Taking taylor expansion of i in alpha
11.666 * [backup-simplify]: Simplify i into i
11.666 * [taylor]: Taking taylor expansion of beta in alpha
11.666 * [backup-simplify]: Simplify beta into beta
11.666 * [backup-simplify]: Simplify (* beta beta) into (pow beta 2)
11.666 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
11.666 * [backup-simplify]: Simplify (+ (* 2.0 i) beta) into (+ (* 2.0 i) beta)
11.666 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 i) beta)) into (+ (* 2.0 i) beta)
11.666 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
11.667 * [backup-simplify]: Simplify (+ (* 2.0 i) beta) into (+ (* 2.0 i) beta)
11.667 * [backup-simplify]: Simplify (+ 2.0 (+ (* 2.0 i) beta)) into (+ (* 2.0 i) (+ beta 2.0))
11.667 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 i) (+ beta 2.0))) into (+ (* 2.0 i) (+ beta 2.0))
11.667 * [backup-simplify]: Simplify (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0))) into (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))
11.667 * [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))))
11.667 * [taylor]: Taking taylor expansion of 1.0 in alpha
11.667 * [backup-simplify]: Simplify 1.0 into 1.0
11.668 * [taylor]: Taking taylor expansion of (/ (pow alpha 2) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta))))) in alpha
11.668 * [taylor]: Taking taylor expansion of (pow alpha 2) in alpha
11.668 * [taylor]: Taking taylor expansion of alpha in alpha
11.668 * [backup-simplify]: Simplify 0 into 0
11.668 * [backup-simplify]: Simplify 1 into 1
11.668 * [taylor]: Taking taylor expansion of (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta)))) in alpha
11.668 * [taylor]: Taking taylor expansion of (+ alpha (+ (* 2.0 i) beta)) in alpha
11.668 * [taylor]: Taking taylor expansion of alpha in alpha
11.668 * [backup-simplify]: Simplify 0 into 0
11.668 * [backup-simplify]: Simplify 1 into 1
11.668 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in alpha
11.668 * [taylor]: Taking taylor expansion of (* 2.0 i) in alpha
11.668 * [taylor]: Taking taylor expansion of 2.0 in alpha
11.668 * [backup-simplify]: Simplify 2.0 into 2.0
11.668 * [taylor]: Taking taylor expansion of i in alpha
11.668 * [backup-simplify]: Simplify i into i
11.668 * [taylor]: Taking taylor expansion of beta in alpha
11.668 * [backup-simplify]: Simplify beta into beta
11.668 * [taylor]: Taking taylor expansion of (+ alpha (+ 2.0 (+ (* 2.0 i) beta))) in alpha
11.668 * [taylor]: Taking taylor expansion of alpha in alpha
11.668 * [backup-simplify]: Simplify 0 into 0
11.668 * [backup-simplify]: Simplify 1 into 1
11.668 * [taylor]: Taking taylor expansion of (+ 2.0 (+ (* 2.0 i) beta)) in alpha
11.668 * [taylor]: Taking taylor expansion of 2.0 in alpha
11.668 * [backup-simplify]: Simplify 2.0 into 2.0
11.668 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in alpha
11.668 * [taylor]: Taking taylor expansion of (* 2.0 i) in alpha
11.668 * [taylor]: Taking taylor expansion of 2.0 in alpha
11.668 * [backup-simplify]: Simplify 2.0 into 2.0
11.668 * [taylor]: Taking taylor expansion of i in alpha
11.668 * [backup-simplify]: Simplify i into i
11.669 * [taylor]: Taking taylor expansion of beta in alpha
11.669 * [backup-simplify]: Simplify beta into beta
11.669 * [backup-simplify]: Simplify (* 1 1) into 1
11.669 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
11.669 * [backup-simplify]: Simplify (+ (* 2.0 i) beta) into (+ (* 2.0 i) beta)
11.669 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 i) beta)) into (+ (* 2.0 i) beta)
11.670 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
11.670 * [backup-simplify]: Simplify (+ (* 2.0 i) beta) into (+ (* 2.0 i) beta)
11.670 * [backup-simplify]: Simplify (+ 2.0 (+ (* 2.0 i) beta)) into (+ (* 2.0 i) (+ beta 2.0))
11.670 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 i) (+ beta 2.0))) into (+ (* 2.0 i) (+ beta 2.0))
11.670 * [backup-simplify]: Simplify (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0))) into (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))
11.670 * [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))))
11.671 * [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
11.671 * [taylor]: Taking taylor expansion of (+ (/ (pow beta 2) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta))))) 1.0) in alpha
11.671 * [taylor]: Taking taylor expansion of (/ (pow beta 2) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta))))) in alpha
11.671 * [taylor]: Taking taylor expansion of (pow beta 2) in alpha
11.671 * [taylor]: Taking taylor expansion of beta in alpha
11.671 * [backup-simplify]: Simplify beta into beta
11.671 * [taylor]: Taking taylor expansion of (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta)))) in alpha
11.671 * [taylor]: Taking taylor expansion of (+ alpha (+ (* 2.0 i) beta)) in alpha
11.671 * [taylor]: Taking taylor expansion of alpha in alpha
11.671 * [backup-simplify]: Simplify 0 into 0
11.671 * [backup-simplify]: Simplify 1 into 1
11.671 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in alpha
11.671 * [taylor]: Taking taylor expansion of (* 2.0 i) in alpha
11.671 * [taylor]: Taking taylor expansion of 2.0 in alpha
11.671 * [backup-simplify]: Simplify 2.0 into 2.0
11.671 * [taylor]: Taking taylor expansion of i in alpha
11.671 * [backup-simplify]: Simplify i into i
11.671 * [taylor]: Taking taylor expansion of beta in alpha
11.671 * [backup-simplify]: Simplify beta into beta
11.671 * [taylor]: Taking taylor expansion of (+ alpha (+ 2.0 (+ (* 2.0 i) beta))) in alpha
11.671 * [taylor]: Taking taylor expansion of alpha in alpha
11.671 * [backup-simplify]: Simplify 0 into 0
11.671 * [backup-simplify]: Simplify 1 into 1
11.671 * [taylor]: Taking taylor expansion of (+ 2.0 (+ (* 2.0 i) beta)) in alpha
11.671 * [taylor]: Taking taylor expansion of 2.0 in alpha
11.671 * [backup-simplify]: Simplify 2.0 into 2.0
11.671 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in alpha
11.672 * [taylor]: Taking taylor expansion of (* 2.0 i) in alpha
11.672 * [taylor]: Taking taylor expansion of 2.0 in alpha
11.672 * [backup-simplify]: Simplify 2.0 into 2.0
11.672 * [taylor]: Taking taylor expansion of i in alpha
11.672 * [backup-simplify]: Simplify i into i
11.672 * [taylor]: Taking taylor expansion of beta in alpha
11.672 * [backup-simplify]: Simplify beta into beta
11.672 * [backup-simplify]: Simplify (* beta beta) into (pow beta 2)
11.672 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
11.672 * [backup-simplify]: Simplify (+ (* 2.0 i) beta) into (+ (* 2.0 i) beta)
11.672 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 i) beta)) into (+ (* 2.0 i) beta)
11.672 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
11.672 * [backup-simplify]: Simplify (+ (* 2.0 i) beta) into (+ (* 2.0 i) beta)
11.672 * [backup-simplify]: Simplify (+ 2.0 (+ (* 2.0 i) beta)) into (+ (* 2.0 i) (+ beta 2.0))
11.673 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 i) (+ beta 2.0))) into (+ (* 2.0 i) (+ beta 2.0))
11.673 * [backup-simplify]: Simplify (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0))) into (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))
11.673 * [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))))
11.673 * [taylor]: Taking taylor expansion of 1.0 in alpha
11.673 * [backup-simplify]: Simplify 1.0 into 1.0
11.673 * [taylor]: Taking taylor expansion of (/ (pow alpha 2) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta))))) in alpha
11.673 * [taylor]: Taking taylor expansion of (pow alpha 2) in alpha
11.673 * [taylor]: Taking taylor expansion of alpha in alpha
11.673 * [backup-simplify]: Simplify 0 into 0
11.673 * [backup-simplify]: Simplify 1 into 1
11.673 * [taylor]: Taking taylor expansion of (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta)))) in alpha
11.673 * [taylor]: Taking taylor expansion of (+ alpha (+ (* 2.0 i) beta)) in alpha
11.673 * [taylor]: Taking taylor expansion of alpha in alpha
11.674 * [backup-simplify]: Simplify 0 into 0
11.674 * [backup-simplify]: Simplify 1 into 1
11.674 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in alpha
11.674 * [taylor]: Taking taylor expansion of (* 2.0 i) in alpha
11.674 * [taylor]: Taking taylor expansion of 2.0 in alpha
11.674 * [backup-simplify]: Simplify 2.0 into 2.0
11.674 * [taylor]: Taking taylor expansion of i in alpha
11.674 * [backup-simplify]: Simplify i into i
11.674 * [taylor]: Taking taylor expansion of beta in alpha
11.674 * [backup-simplify]: Simplify beta into beta
11.674 * [taylor]: Taking taylor expansion of (+ alpha (+ 2.0 (+ (* 2.0 i) beta))) in alpha
11.674 * [taylor]: Taking taylor expansion of alpha in alpha
11.674 * [backup-simplify]: Simplify 0 into 0
11.674 * [backup-simplify]: Simplify 1 into 1
11.674 * [taylor]: Taking taylor expansion of (+ 2.0 (+ (* 2.0 i) beta)) in alpha
11.674 * [taylor]: Taking taylor expansion of 2.0 in alpha
11.674 * [backup-simplify]: Simplify 2.0 into 2.0
11.674 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in alpha
11.674 * [taylor]: Taking taylor expansion of (* 2.0 i) in alpha
11.674 * [taylor]: Taking taylor expansion of 2.0 in alpha
11.674 * [backup-simplify]: Simplify 2.0 into 2.0
11.674 * [taylor]: Taking taylor expansion of i in alpha
11.674 * [backup-simplify]: Simplify i into i
11.674 * [taylor]: Taking taylor expansion of beta in alpha
11.674 * [backup-simplify]: Simplify beta into beta
11.675 * [backup-simplify]: Simplify (* 1 1) into 1
11.675 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
11.675 * [backup-simplify]: Simplify (+ (* 2.0 i) beta) into (+ (* 2.0 i) beta)
11.675 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 i) beta)) into (+ (* 2.0 i) beta)
11.675 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
11.675 * [backup-simplify]: Simplify (+ (* 2.0 i) beta) into (+ (* 2.0 i) beta)
11.675 * [backup-simplify]: Simplify (+ 2.0 (+ (* 2.0 i) beta)) into (+ (* 2.0 i) (+ beta 2.0))
11.676 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 i) (+ beta 2.0))) into (+ (* 2.0 i) (+ beta 2.0))
11.676 * [backup-simplify]: Simplify (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0))) into (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))
11.676 * [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))))
11.677 * [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)
11.677 * [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)
11.677 * [taylor]: Taking taylor expansion of (+ (/ (pow beta 2) (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))) 1.0) in beta
11.677 * [taylor]: Taking taylor expansion of (/ (pow beta 2) (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))) in beta
11.678 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
11.678 * [taylor]: Taking taylor expansion of beta in beta
11.678 * [backup-simplify]: Simplify 0 into 0
11.678 * [backup-simplify]: Simplify 1 into 1
11.678 * [taylor]: Taking taylor expansion of (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0))) in beta
11.678 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
11.678 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
11.678 * [taylor]: Taking taylor expansion of 2.0 in beta
11.678 * [backup-simplify]: Simplify 2.0 into 2.0
11.678 * [taylor]: Taking taylor expansion of i in beta
11.678 * [backup-simplify]: Simplify i into i
11.678 * [taylor]: Taking taylor expansion of beta in beta
11.678 * [backup-simplify]: Simplify 0 into 0
11.678 * [backup-simplify]: Simplify 1 into 1
11.678 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
11.678 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
11.678 * [taylor]: Taking taylor expansion of 2.0 in beta
11.678 * [backup-simplify]: Simplify 2.0 into 2.0
11.678 * [taylor]: Taking taylor expansion of i in beta
11.678 * [backup-simplify]: Simplify i into i
11.678 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
11.678 * [taylor]: Taking taylor expansion of beta in beta
11.678 * [backup-simplify]: Simplify 0 into 0
11.678 * [backup-simplify]: Simplify 1 into 1
11.678 * [taylor]: Taking taylor expansion of 2.0 in beta
11.678 * [backup-simplify]: Simplify 2.0 into 2.0
11.679 * [backup-simplify]: Simplify (* 1 1) into 1
11.679 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
11.679 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
11.679 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
11.680 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
11.680 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
11.680 * [backup-simplify]: Simplify (* (* 2.0 i) (+ (* 2.0 i) 2.0)) into (* 2.0 (* i (+ (* 2.0 i) 2.0)))
11.680 * [backup-simplify]: Simplify (/ 1 (* 2.0 (* i (+ (* 2.0 i) 2.0)))) into (/ 0.5 (* i (+ (* 2.0 i) 2.0)))
11.680 * [taylor]: Taking taylor expansion of 1.0 in beta
11.680 * [backup-simplify]: Simplify 1.0 into 1.0
11.680 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0
11.681 * [taylor]: Taking taylor expansion of 1.0 in i
11.681 * [backup-simplify]: Simplify 1.0 into 1.0
11.681 * [backup-simplify]: Simplify 1.0 into 1.0
11.681 * [backup-simplify]: Simplify (+ (* beta 0) (* 0 beta)) into 0
11.681 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 i)) into 0
11.688 * [backup-simplify]: Simplify (+ 0 0) into 0
11.689 * [backup-simplify]: Simplify (+ 0 0) into 0
11.689 * [backup-simplify]: Simplify (+ 1 0) into 1
11.690 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 i)) into 0
11.690 * [backup-simplify]: Simplify (+ 0 0) into 0
11.691 * [backup-simplify]: Simplify (+ 1 0) into 1
11.691 * [backup-simplify]: Simplify (+ (* (+ (* 2.0 i) beta) 1) (* 1 (+ (* 2.0 i) (+ beta 2.0)))) into (+ 2.0 (+ (* 4.0 i) (* 2 beta)))
11.693 * [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)))))))
11.696 * [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)))))))
11.700 * [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)))))))
11.700 * [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
11.700 * [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
11.700 * [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
11.700 * [taylor]: Taking taylor expansion of 4.0 in beta
11.700 * [backup-simplify]: Simplify 4.0 into 4.0
11.700 * [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
11.701 * [taylor]: Taking taylor expansion of (* i (pow beta 2)) in beta
11.701 * [taylor]: Taking taylor expansion of i in beta
11.701 * [backup-simplify]: Simplify i into i
11.701 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
11.701 * [taylor]: Taking taylor expansion of beta in beta
11.701 * [backup-simplify]: Simplify 0 into 0
11.701 * [backup-simplify]: Simplify 1 into 1
11.701 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)) in beta
11.701 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 2) in beta
11.701 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
11.701 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
11.701 * [taylor]: Taking taylor expansion of 2.0 in beta
11.701 * [backup-simplify]: Simplify 2.0 into 2.0
11.701 * [taylor]: Taking taylor expansion of i in beta
11.701 * [backup-simplify]: Simplify i into i
11.701 * [taylor]: Taking taylor expansion of beta in beta
11.701 * [backup-simplify]: Simplify 0 into 0
11.701 * [backup-simplify]: Simplify 1 into 1
11.701 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
11.701 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
11.701 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 2) in beta
11.701 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
11.701 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
11.701 * [taylor]: Taking taylor expansion of 2.0 in beta
11.701 * [backup-simplify]: Simplify 2.0 into 2.0
11.701 * [taylor]: Taking taylor expansion of i in beta
11.701 * [backup-simplify]: Simplify i into i
11.702 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
11.702 * [taylor]: Taking taylor expansion of beta in beta
11.702 * [backup-simplify]: Simplify 0 into 0
11.702 * [backup-simplify]: Simplify 1 into 1
11.702 * [taylor]: Taking taylor expansion of 2.0 in beta
11.702 * [backup-simplify]: Simplify 2.0 into 2.0
11.702 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
11.702 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
11.702 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
11.703 * [backup-simplify]: Simplify (* 1 1) into 1
11.703 * [backup-simplify]: Simplify (* i 1) into i
11.703 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
11.703 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
11.704 * [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)))
11.704 * [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)))
11.704 * [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
11.704 * [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
11.704 * [taylor]: Taking taylor expansion of 2 in beta
11.704 * [backup-simplify]: Simplify 2 into 2
11.704 * [taylor]: Taking taylor expansion of (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2))) in beta
11.704 * [taylor]: Taking taylor expansion of (pow beta 3) in beta
11.704 * [taylor]: Taking taylor expansion of beta in beta
11.704 * [backup-simplify]: Simplify 0 into 0
11.704 * [backup-simplify]: Simplify 1 into 1
11.704 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)) in beta
11.704 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 2) in beta
11.704 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
11.704 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
11.705 * [taylor]: Taking taylor expansion of 2.0 in beta
11.705 * [backup-simplify]: Simplify 2.0 into 2.0
11.705 * [taylor]: Taking taylor expansion of i in beta
11.705 * [backup-simplify]: Simplify i into i
11.705 * [taylor]: Taking taylor expansion of beta in beta
11.705 * [backup-simplify]: Simplify 0 into 0
11.705 * [backup-simplify]: Simplify 1 into 1
11.705 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
11.705 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
11.705 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 2) in beta
11.705 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
11.705 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
11.705 * [taylor]: Taking taylor expansion of 2.0 in beta
11.705 * [backup-simplify]: Simplify 2.0 into 2.0
11.705 * [taylor]: Taking taylor expansion of i in beta
11.705 * [backup-simplify]: Simplify i into i
11.705 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
11.705 * [taylor]: Taking taylor expansion of beta in beta
11.705 * [backup-simplify]: Simplify 0 into 0
11.705 * [backup-simplify]: Simplify 1 into 1
11.705 * [taylor]: Taking taylor expansion of 2.0 in beta
11.705 * [backup-simplify]: Simplify 2.0 into 2.0
11.705 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
11.706 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
11.706 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
11.706 * [backup-simplify]: Simplify (* 1 1) into 1
11.707 * [backup-simplify]: Simplify (* 1 1) into 1
11.707 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
11.707 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
11.707 * [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)))
11.708 * [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)))
11.708 * [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
11.708 * [taylor]: Taking taylor expansion of 2.0 in beta
11.708 * [backup-simplify]: Simplify 2.0 into 2.0
11.708 * [taylor]: Taking taylor expansion of (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2))) in beta
11.708 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
11.708 * [taylor]: Taking taylor expansion of beta in beta
11.708 * [backup-simplify]: Simplify 0 into 0
11.708 * [backup-simplify]: Simplify 1 into 1
11.708 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)) in beta
11.708 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 2) in beta
11.708 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
11.708 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
11.708 * [taylor]: Taking taylor expansion of 2.0 in beta
11.708 * [backup-simplify]: Simplify 2.0 into 2.0
11.708 * [taylor]: Taking taylor expansion of i in beta
11.708 * [backup-simplify]: Simplify i into i
11.708 * [taylor]: Taking taylor expansion of beta in beta
11.708 * [backup-simplify]: Simplify 0 into 0
11.708 * [backup-simplify]: Simplify 1 into 1
11.709 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
11.709 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
11.709 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 2) in beta
11.709 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
11.709 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
11.709 * [taylor]: Taking taylor expansion of 2.0 in beta
11.709 * [backup-simplify]: Simplify 2.0 into 2.0
11.709 * [taylor]: Taking taylor expansion of i in beta
11.709 * [backup-simplify]: Simplify i into i
11.709 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
11.709 * [taylor]: Taking taylor expansion of beta in beta
11.709 * [backup-simplify]: Simplify 0 into 0
11.709 * [backup-simplify]: Simplify 1 into 1
11.709 * [taylor]: Taking taylor expansion of 2.0 in beta
11.709 * [backup-simplify]: Simplify 2.0 into 2.0
11.709 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
11.710 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
11.710 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
11.710 * [backup-simplify]: Simplify (* 1 1) into 1
11.710 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
11.710 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
11.711 * [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)))
11.711 * [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)))
11.712 * [backup-simplify]: Simplify (+ 0 0) into 0
11.712 * [taylor]: Taking taylor expansion of 0 in i
11.712 * [backup-simplify]: Simplify 0 into 0
11.712 * [backup-simplify]: Simplify 0 into 0
11.712 * [backup-simplify]: Simplify 0 into 0
11.712 * [backup-simplify]: Simplify (+ (* beta 0) (+ (* 0 0) (* 0 beta))) into 0
11.713 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 i))) into 0
11.714 * [backup-simplify]: Simplify (+ 0 0) into 0
11.714 * [backup-simplify]: Simplify (+ 0 0) into 0
11.714 * [backup-simplify]: Simplify (+ 0 0) into 0
11.715 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 i))) into 0
11.716 * [backup-simplify]: Simplify (+ 0 0) into 0
11.716 * [backup-simplify]: Simplify (+ 0 0) into 0
11.717 * [backup-simplify]: Simplify (+ (* (+ (* 2.0 i) beta) 0) (+ (* 1 1) (* 0 (+ (* 2.0 i) (+ beta 2.0))))) into 1
11.722 * [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))))
11.727 * [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))))
11.728 * [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)))))
11.733 * [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)))))
11.733 * [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
11.733 * [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
11.733 * [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
11.733 * [taylor]: Taking taylor expansion of 16.0 in beta
11.733 * [backup-simplify]: Simplify 16.0 into 16.0
11.733 * [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
11.733 * [taylor]: Taking taylor expansion of (* (pow i 2) (pow beta 2)) in beta
11.733 * [taylor]: Taking taylor expansion of (pow i 2) in beta
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 (pow beta 2) in beta
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 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)) in beta
11.733 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 3) in beta
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 (* 2.0 i) into (* 2.0 i)
11.733 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
11.733 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 3) in beta
11.734 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) 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 2.0) in beta
11.734 * [taylor]: Taking taylor expansion of beta in beta
11.734 * [backup-simplify]: Simplify 0 into 0
11.734 * [backup-simplify]: Simplify 1 into 1
11.734 * [taylor]: Taking taylor expansion of 2.0 in beta
11.734 * [backup-simplify]: Simplify 2.0 into 2.0
11.734 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
11.734 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
11.734 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
11.734 * [backup-simplify]: Simplify (* i i) into (pow i 2)
11.734 * [backup-simplify]: Simplify (* 1 1) into 1
11.735 * [backup-simplify]: Simplify (* (pow i 2) 1) into (pow i 2)
11.735 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
11.735 * [backup-simplify]: Simplify (* (* 2.0 i) (* 4.0 (pow i 2))) into (* 8.0 (pow i 3))
11.735 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
11.735 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (pow (+ (* 2.0 i) 2.0) 2)) into (pow (+ (* 2.0 i) 2.0) 3)
11.735 * [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)))
11.735 * [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)))
11.736 * [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
11.736 * [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
11.736 * [taylor]: Taking taylor expansion of 4 in beta
11.736 * [backup-simplify]: Simplify 4 into 4
11.736 * [taylor]: Taking taylor expansion of (/ (pow beta 4) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3))) in beta
11.736 * [taylor]: Taking taylor expansion of (pow beta 4) in beta
11.736 * [taylor]: Taking taylor expansion of beta in beta
11.736 * [backup-simplify]: Simplify 0 into 0
11.736 * [backup-simplify]: Simplify 1 into 1
11.736 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)) in beta
11.736 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 3) in beta
11.736 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
11.736 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
11.736 * [taylor]: Taking taylor expansion of 2.0 in beta
11.736 * [backup-simplify]: Simplify 2.0 into 2.0
11.736 * [taylor]: Taking taylor expansion of i in beta
11.736 * [backup-simplify]: Simplify i into i
11.736 * [taylor]: Taking taylor expansion of beta in beta
11.736 * [backup-simplify]: Simplify 0 into 0
11.736 * [backup-simplify]: Simplify 1 into 1
11.736 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
11.736 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
11.736 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 3) in beta
11.736 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
11.736 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
11.736 * [taylor]: Taking taylor expansion of 2.0 in beta
11.736 * [backup-simplify]: Simplify 2.0 into 2.0
11.736 * [taylor]: Taking taylor expansion of i in beta
11.736 * [backup-simplify]: Simplify i into i
11.736 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
11.736 * [taylor]: Taking taylor expansion of beta in beta
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 in beta
11.736 * [backup-simplify]: Simplify 2.0 into 2.0
11.736 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
11.737 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
11.737 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
11.737 * [backup-simplify]: Simplify (* 1 1) into 1
11.737 * [backup-simplify]: Simplify (* 1 1) into 1
11.737 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
11.737 * [backup-simplify]: Simplify (* (* 2.0 i) (* 4.0 (pow i 2))) into (* 8.0 (pow i 3))
11.737 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
11.738 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (pow (+ (* 2.0 i) 2.0) 2)) into (pow (+ (* 2.0 i) 2.0) 3)
11.738 * [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)))
11.738 * [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)))
11.738 * [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
11.738 * [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
11.738 * [taylor]: Taking taylor expansion of 8.0 in beta
11.738 * [backup-simplify]: Simplify 8.0 into 8.0
11.738 * [taylor]: Taking taylor expansion of (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3))) in beta
11.738 * [taylor]: Taking taylor expansion of (pow beta 3) in beta
11.738 * [taylor]: Taking taylor expansion of beta in beta
11.738 * [backup-simplify]: Simplify 0 into 0
11.738 * [backup-simplify]: Simplify 1 into 1
11.738 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)) in beta
11.738 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 3) in beta
11.738 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
11.738 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
11.738 * [taylor]: Taking taylor expansion of 2.0 in beta
11.738 * [backup-simplify]: Simplify 2.0 into 2.0
11.738 * [taylor]: Taking taylor expansion of i in beta
11.738 * [backup-simplify]: Simplify i into i
11.738 * [taylor]: Taking taylor expansion of beta in beta
11.738 * [backup-simplify]: Simplify 0 into 0
11.738 * [backup-simplify]: Simplify 1 into 1
11.738 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
11.738 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
11.738 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 3) in beta
11.738 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
11.738 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
11.738 * [taylor]: Taking taylor expansion of 2.0 in beta
11.739 * [backup-simplify]: Simplify 2.0 into 2.0
11.739 * [taylor]: Taking taylor expansion of i in beta
11.739 * [backup-simplify]: Simplify i into i
11.739 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
11.739 * [taylor]: Taking taylor expansion of beta in beta
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 in beta
11.739 * [backup-simplify]: Simplify 2.0 into 2.0
11.739 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
11.739 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
11.739 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
11.739 * [backup-simplify]: Simplify (* 1 1) into 1
11.739 * [backup-simplify]: Simplify (* 1 1) into 1
11.740 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
11.740 * [backup-simplify]: Simplify (* (* 2.0 i) (* 4.0 (pow i 2))) into (* 8.0 (pow i 3))
11.740 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
11.740 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (pow (+ (* 2.0 i) 2.0) 2)) into (pow (+ (* 2.0 i) 2.0) 3)
11.740 * [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)))
11.740 * [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)))
11.740 * [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
11.740 * [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
11.740 * [taylor]: Taking taylor expansion of 16.0 in beta
11.740 * [backup-simplify]: Simplify 16.0 into 16.0
11.740 * [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
11.741 * [taylor]: Taking taylor expansion of (* i (pow beta 3)) in beta
11.741 * [taylor]: Taking taylor expansion of i in beta
11.741 * [backup-simplify]: Simplify i into i
11.741 * [taylor]: Taking taylor expansion of (pow beta 3) in beta
11.741 * [taylor]: Taking taylor expansion of beta in beta
11.741 * [backup-simplify]: Simplify 0 into 0
11.741 * [backup-simplify]: Simplify 1 into 1
11.741 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)) in beta
11.741 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 3) in beta
11.741 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
11.741 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
11.741 * [taylor]: Taking taylor expansion of 2.0 in beta
11.741 * [backup-simplify]: Simplify 2.0 into 2.0
11.741 * [taylor]: Taking taylor expansion of i in beta
11.741 * [backup-simplify]: Simplify i into i
11.741 * [taylor]: Taking taylor expansion of beta in beta
11.741 * [backup-simplify]: Simplify 0 into 0
11.741 * [backup-simplify]: Simplify 1 into 1
11.741 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
11.741 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
11.741 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 3) in beta
11.741 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
11.741 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
11.741 * [taylor]: Taking taylor expansion of 2.0 in beta
11.741 * [backup-simplify]: Simplify 2.0 into 2.0
11.741 * [taylor]: Taking taylor expansion of i in beta
11.741 * [backup-simplify]: Simplify i into i
11.741 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
11.741 * [taylor]: Taking taylor expansion of beta in beta
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 in beta
11.741 * [backup-simplify]: Simplify 2.0 into 2.0
11.741 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
11.741 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
11.742 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
11.742 * [backup-simplify]: Simplify (* 1 1) into 1
11.742 * [backup-simplify]: Simplify (* 1 1) into 1
11.742 * [backup-simplify]: Simplify (* i 1) into i
11.742 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
11.742 * [backup-simplify]: Simplify (* (* 2.0 i) (* 4.0 (pow i 2))) into (* 8.0 (pow i 3))
11.742 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
11.743 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (pow (+ (* 2.0 i) 2.0) 2)) into (pow (+ (* 2.0 i) 2.0) 3)
11.743 * [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)))
11.743 * [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)))
11.743 * [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
11.743 * [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
11.743 * [taylor]: Taking taylor expansion of 16.0 in beta
11.743 * [backup-simplify]: Simplify 16.0 into 16.0
11.743 * [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
11.743 * [taylor]: Taking taylor expansion of (* i (pow beta 2)) in beta
11.743 * [taylor]: Taking taylor expansion of i in beta
11.743 * [backup-simplify]: Simplify i into i
11.743 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
11.743 * [taylor]: Taking taylor expansion of beta in beta
11.743 * [backup-simplify]: Simplify 0 into 0
11.743 * [backup-simplify]: Simplify 1 into 1
11.743 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)) in beta
11.743 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 3) in beta
11.743 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
11.743 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
11.743 * [taylor]: Taking taylor expansion of 2.0 in beta
11.743 * [backup-simplify]: Simplify 2.0 into 2.0
11.743 * [taylor]: Taking taylor expansion of i in beta
11.743 * [backup-simplify]: Simplify i into i
11.743 * [taylor]: Taking taylor expansion of beta in beta
11.743 * [backup-simplify]: Simplify 0 into 0
11.743 * [backup-simplify]: Simplify 1 into 1
11.743 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
11.743 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
11.743 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 3) in beta
11.744 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
11.744 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
11.744 * [taylor]: Taking taylor expansion of 2.0 in beta
11.744 * [backup-simplify]: Simplify 2.0 into 2.0
11.744 * [taylor]: Taking taylor expansion of i in beta
11.744 * [backup-simplify]: Simplify i into i
11.744 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
11.744 * [taylor]: Taking taylor expansion of beta in beta
11.744 * [backup-simplify]: Simplify 0 into 0
11.744 * [backup-simplify]: Simplify 1 into 1
11.744 * [taylor]: Taking taylor expansion of 2.0 in beta
11.744 * [backup-simplify]: Simplify 2.0 into 2.0
11.744 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
11.744 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
11.744 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
11.744 * [backup-simplify]: Simplify (* 1 1) into 1
11.744 * [backup-simplify]: Simplify (* i 1) into i
11.744 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
11.745 * [backup-simplify]: Simplify (* (* 2.0 i) (* 4.0 (pow i 2))) into (* 8.0 (pow i 3))
11.745 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
11.745 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (pow (+ (* 2.0 i) 2.0) 2)) into (pow (+ (* 2.0 i) 2.0) 3)
11.745 * [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)))
11.745 * [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)))
11.745 * [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
11.745 * [taylor]: Taking taylor expansion of 4.0 in beta
11.745 * [backup-simplify]: Simplify 4.0 into 4.0
11.745 * [taylor]: Taking taylor expansion of (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3))) in beta
11.745 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
11.745 * [taylor]: Taking taylor expansion of beta in beta
11.745 * [backup-simplify]: Simplify 0 into 0
11.745 * [backup-simplify]: Simplify 1 into 1
11.745 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)) in beta
11.745 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 3) in beta
11.745 * [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 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
11.746 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
11.746 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 3) in beta
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
11.746 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
11.746 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
11.747 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
11.747 * [backup-simplify]: Simplify (* 1 1) into 1
11.747 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
11.747 * [backup-simplify]: Simplify (* (* 2.0 i) (* 4.0 (pow i 2))) into (* 8.0 (pow i 3))
11.747 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
11.747 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (pow (+ (* 2.0 i) 2.0) 2)) into (pow (+ (* 2.0 i) 2.0) 3)
11.747 * [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)))
11.748 * [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)))
11.748 * [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
11.748 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))) in beta
11.748 * [taylor]: Taking taylor expansion of (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0))) in beta
11.748 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
11.748 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
11.748 * [taylor]: Taking taylor expansion of 2.0 in beta
11.748 * [backup-simplify]: Simplify 2.0 into 2.0
11.748 * [taylor]: Taking taylor expansion of i in beta
11.748 * [backup-simplify]: Simplify i into i
11.748 * [taylor]: Taking taylor expansion of beta in beta
11.748 * [backup-simplify]: Simplify 0 into 0
11.748 * [backup-simplify]: Simplify 1 into 1
11.748 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
11.748 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
11.748 * [taylor]: Taking taylor expansion of 2.0 in beta
11.748 * [backup-simplify]: Simplify 2.0 into 2.0
11.748 * [taylor]: Taking taylor expansion of i in beta
11.748 * [backup-simplify]: Simplify i into i
11.748 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
11.748 * [taylor]: Taking taylor expansion of beta in beta
11.748 * [backup-simplify]: Simplify 0 into 0
11.748 * [backup-simplify]: Simplify 1 into 1
11.748 * [taylor]: Taking taylor expansion of 2.0 in beta
11.748 * [backup-simplify]: Simplify 2.0 into 2.0
11.748 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
11.748 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
11.748 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
11.749 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
11.749 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
11.749 * [backup-simplify]: Simplify (* (* 2.0 i) (+ (* 2.0 i) 2.0)) into (* 2.0 (* i (+ (* 2.0 i) 2.0)))
11.749 * [backup-simplify]: Simplify (/ 1 (* 2.0 (* i (+ (* 2.0 i) 2.0)))) into (/ 0.5 (* i (+ (* 2.0 i) 2.0)))
11.749 * [taylor]: Taking taylor expansion of (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2))) in beta
11.749 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
11.749 * [taylor]: Taking taylor expansion of beta in beta
11.749 * [backup-simplify]: Simplify 0 into 0
11.749 * [backup-simplify]: Simplify 1 into 1
11.749 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)) in beta
11.749 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 2) in beta
11.749 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
11.749 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
11.749 * [taylor]: Taking taylor expansion of 2.0 in beta
11.749 * [backup-simplify]: Simplify 2.0 into 2.0
11.749 * [taylor]: Taking taylor expansion of i in beta
11.749 * [backup-simplify]: Simplify i into i
11.749 * [taylor]: Taking taylor expansion of beta in beta
11.749 * [backup-simplify]: Simplify 0 into 0
11.749 * [backup-simplify]: Simplify 1 into 1
11.749 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
11.749 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
11.749 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 2) in beta
11.749 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
11.749 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
11.749 * [taylor]: Taking taylor expansion of 2.0 in beta
11.749 * [backup-simplify]: Simplify 2.0 into 2.0
11.749 * [taylor]: Taking taylor expansion of i in beta
11.749 * [backup-simplify]: Simplify i into i
11.749 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
11.749 * [taylor]: Taking taylor expansion of beta in beta
11.749 * [backup-simplify]: Simplify 0 into 0
11.749 * [backup-simplify]: Simplify 1 into 1
11.749 * [taylor]: Taking taylor expansion of 2.0 in beta
11.749 * [backup-simplify]: Simplify 2.0 into 2.0
11.749 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
11.750 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
11.750 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
11.750 * [backup-simplify]: Simplify (* 1 1) into 1
11.750 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
11.750 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
11.750 * [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)))
11.751 * [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)))
11.751 * [backup-simplify]: Simplify (+ (/ 0.5 (* i (+ (* 2.0 i) 2.0))) 0) into (* 0.5 (/ 1 (* i (+ (* 2.0 i) 2.0))))
11.751 * [backup-simplify]: Simplify (- (* 0.5 (/ 1 (* i (+ (* 2.0 i) 2.0))))) into (- (* 0.5 (/ 1 (* i (+ (* 2.0 i) 2.0)))))
11.751 * [backup-simplify]: Simplify (+ 0 (- (* 0.5 (/ 1 (* i (+ (* 2.0 i) 2.0)))))) into (- (* 0.5 (/ 1 (* i (+ (* 2.0 i) 2.0)))))
11.751 * [taylor]: Taking taylor expansion of (- (* 0.5 (/ 1 (* i (+ (* 2.0 i) 2.0))))) in i
11.751 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (* i (+ (* 2.0 i) 2.0)))) in i
11.751 * [taylor]: Taking taylor expansion of 0.5 in i
11.751 * [backup-simplify]: Simplify 0.5 into 0.5
11.751 * [taylor]: Taking taylor expansion of (/ 1 (* i (+ (* 2.0 i) 2.0))) in i
11.751 * [taylor]: Taking taylor expansion of (* i (+ (* 2.0 i) 2.0)) in i
11.751 * [taylor]: Taking taylor expansion of i in i
11.751 * [backup-simplify]: Simplify 0 into 0
11.751 * [backup-simplify]: Simplify 1 into 1
11.751 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) 2.0) in i
11.751 * [taylor]: Taking taylor expansion of (* 2.0 i) in i
11.751 * [taylor]: Taking taylor expansion of 2.0 in i
11.751 * [backup-simplify]: Simplify 2.0 into 2.0
11.751 * [taylor]: Taking taylor expansion of i in i
11.751 * [backup-simplify]: Simplify 0 into 0
11.751 * [backup-simplify]: Simplify 1 into 1
11.751 * [taylor]: Taking taylor expansion of 2.0 in i
11.751 * [backup-simplify]: Simplify 2.0 into 2.0
11.752 * [backup-simplify]: Simplify (* 2.0 0) into 0
11.752 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
11.753 * [backup-simplify]: Simplify (* 0 2.0) into 0
11.754 * [backup-simplify]: Simplify (+ (* 2.0 1) (* 0 0)) into 2.0
11.754 * [backup-simplify]: Simplify (+ 2.0 0) into 2.0
11.756 * [backup-simplify]: Simplify (+ (* 0 2.0) (* 1 2.0)) into 2.0
11.756 * [backup-simplify]: Simplify (/ 1 2.0) into 0.5
11.757 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 1) (* 0 0))) into 0
11.758 * [backup-simplify]: Simplify (+ 0 0) into 0
11.760 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 2.0) (* 0 2.0))) into 2.0
11.763 * [backup-simplify]: Simplify (- (+ (* 0.5 (/ 2.0 2.0)))) into (- 0.5)
11.765 * [backup-simplify]: Simplify (+ (* 0.5 (- 0.5)) (* 0 0.5)) into (- 0.25)
11.765 * [backup-simplify]: Simplify (- (- 0.25)) into 0.25
11.766 * [backup-simplify]: Simplify 0.25 into 0.25
11.766 * [backup-simplify]: Simplify (+ (/ 0.5 (* i (+ (* 2.0 i) 2.0))) 0) into (* 0.5 (/ 1 (* i (+ (* 2.0 i) 2.0))))
11.766 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (* i (+ (* 2.0 i) 2.0)))) in i
11.766 * [taylor]: Taking taylor expansion of 0.5 in i
11.766 * [backup-simplify]: Simplify 0.5 into 0.5
11.766 * [taylor]: Taking taylor expansion of (/ 1 (* i (+ (* 2.0 i) 2.0))) in i
11.766 * [taylor]: Taking taylor expansion of (* i (+ (* 2.0 i) 2.0)) in i
11.766 * [taylor]: Taking taylor expansion of i in i
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 i) 2.0) in i
11.766 * [taylor]: Taking taylor expansion of (* 2.0 i) in i
11.766 * [taylor]: Taking taylor expansion of 2.0 in i
11.766 * [backup-simplify]: Simplify 2.0 into 2.0
11.766 * [taylor]: Taking taylor expansion of i in i
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 i
11.766 * [backup-simplify]: Simplify 2.0 into 2.0
11.767 * [backup-simplify]: Simplify (* 2.0 0) into 0
11.767 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
11.768 * [backup-simplify]: Simplify (* 0 2.0) into 0
11.769 * [backup-simplify]: Simplify (+ (* 2.0 1) (* 0 0)) into 2.0
11.769 * [backup-simplify]: Simplify (+ 2.0 0) into 2.0
11.771 * [backup-simplify]: Simplify (+ (* 0 2.0) (* 1 2.0)) into 2.0
11.771 * [backup-simplify]: Simplify (/ 1 2.0) into 0.5
11.772 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 1) (* 0 0))) into 0
11.773 * [backup-simplify]: Simplify (+ 0 0) into 0
11.776 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 2.0) (* 0 2.0))) into 2.0
11.778 * [backup-simplify]: Simplify (- (+ (* 0.5 (/ 2.0 2.0)))) into (- 0.5)
11.780 * [backup-simplify]: Simplify (+ (* 0.5 (- 0.5)) (* 0 0.5)) into (- 0.25)
11.780 * [backup-simplify]: Simplify (- 0.25) into (- 0.25)
11.781 * [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)))
11.783 * [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)))))))
11.783 * [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
11.783 * [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
11.783 * [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
11.783 * [taylor]: Taking taylor expansion of 1.0 in i
11.783 * [backup-simplify]: Simplify 1.0 into 1.0
11.783 * [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
11.783 * [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
11.783 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) in i
11.783 * [taylor]: Taking taylor expansion of (/ 1 alpha) in i
11.783 * [taylor]: Taking taylor expansion of alpha in i
11.783 * [backup-simplify]: Simplify alpha into alpha
11.783 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
11.783 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0)) in i
11.783 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in i
11.783 * [taylor]: Taking taylor expansion of 2.0 in i
11.783 * [backup-simplify]: Simplify 2.0 into 2.0
11.783 * [taylor]: Taking taylor expansion of (/ 1 i) in i
11.783 * [taylor]: Taking taylor expansion of i in i
11.783 * [backup-simplify]: Simplify 0 into 0
11.783 * [backup-simplify]: Simplify 1 into 1
11.784 * [backup-simplify]: Simplify (/ 1 1) into 1
11.784 * [taylor]: Taking taylor expansion of (+ (/ 1 beta) 2.0) in i
11.784 * [taylor]: Taking taylor expansion of (/ 1 beta) in i
11.784 * [taylor]: Taking taylor expansion of beta in i
11.784 * [backup-simplify]: Simplify beta into beta
11.784 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
11.784 * [taylor]: Taking taylor expansion of 2.0 in i
11.784 * [backup-simplify]: Simplify 2.0 into 2.0
11.784 * [taylor]: Taking taylor expansion of (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2)) in i
11.784 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in i
11.784 * [taylor]: Taking taylor expansion of (/ 1 alpha) in i
11.784 * [taylor]: Taking taylor expansion of alpha in i
11.784 * [backup-simplify]: Simplify alpha into alpha
11.784 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
11.784 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in i
11.784 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in i
11.784 * [taylor]: Taking taylor expansion of 2.0 in i
11.784 * [backup-simplify]: Simplify 2.0 into 2.0
11.784 * [taylor]: Taking taylor expansion of (/ 1 i) in i
11.784 * [taylor]: Taking taylor expansion of i in i
11.784 * [backup-simplify]: Simplify 0 into 0
11.784 * [backup-simplify]: Simplify 1 into 1
11.785 * [backup-simplify]: Simplify (/ 1 1) into 1
11.785 * [taylor]: Taking taylor expansion of (/ 1 beta) in i
11.785 * [taylor]: Taking taylor expansion of beta in i
11.785 * [backup-simplify]: Simplify beta into beta
11.785 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
11.785 * [taylor]: Taking taylor expansion of (pow beta 2) in i
11.785 * [taylor]: Taking taylor expansion of beta in i
11.785 * [backup-simplify]: Simplify beta into beta
11.786 * [backup-simplify]: Simplify (* 2.0 1) into 2.0
11.786 * [backup-simplify]: Simplify (+ 2.0 0) into 2.0
11.786 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
11.787 * [backup-simplify]: Simplify (* 2.0 1) into 2.0
11.787 * [backup-simplify]: Simplify (+ 2.0 0) into 2.0
11.788 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
11.788 * [backup-simplify]: Simplify (* beta beta) into (pow beta 2)
11.788 * [backup-simplify]: Simplify (* 2.0 (pow beta 2)) into (* 2.0 (pow beta 2))
11.788 * [backup-simplify]: Simplify (* 2.0 (* 2.0 (pow beta 2))) into (* 4.0 (pow beta 2))
11.788 * [backup-simplify]: Simplify (/ 1 (* 4.0 (pow beta 2))) into (/ 0.25 (pow beta 2))
11.788 * [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
11.788 * [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
11.788 * [taylor]: Taking taylor expansion of (pow alpha 2) in i
11.788 * [taylor]: Taking taylor expansion of alpha in i
11.789 * [backup-simplify]: Simplify alpha into alpha
11.789 * [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
11.789 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in i
11.789 * [taylor]: Taking taylor expansion of (/ 1 alpha) in i
11.789 * [taylor]: Taking taylor expansion of alpha in i
11.789 * [backup-simplify]: Simplify alpha into alpha
11.789 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
11.789 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in i
11.789 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in i
11.789 * [taylor]: Taking taylor expansion of 2.0 in i
11.789 * [backup-simplify]: Simplify 2.0 into 2.0
11.789 * [taylor]: Taking taylor expansion of (/ 1 i) in i
11.789 * [taylor]: Taking taylor expansion of i in i
11.789 * [backup-simplify]: Simplify 0 into 0
11.789 * [backup-simplify]: Simplify 1 into 1
11.789 * [backup-simplify]: Simplify (/ 1 1) into 1
11.789 * [taylor]: Taking taylor expansion of (/ 1 beta) in i
11.789 * [taylor]: Taking taylor expansion of beta in i
11.789 * [backup-simplify]: Simplify beta into beta
11.789 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
11.789 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) in i
11.790 * [taylor]: Taking taylor expansion of (/ 1 alpha) in i
11.790 * [taylor]: Taking taylor expansion of alpha in i
11.790 * [backup-simplify]: Simplify alpha into alpha
11.790 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
11.790 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0)) in i
11.790 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in i
11.790 * [taylor]: Taking taylor expansion of 2.0 in i
11.790 * [backup-simplify]: Simplify 2.0 into 2.0
11.790 * [taylor]: Taking taylor expansion of (/ 1 i) in i
11.790 * [taylor]: Taking taylor expansion of i in i
11.790 * [backup-simplify]: Simplify 0 into 0
11.790 * [backup-simplify]: Simplify 1 into 1
11.790 * [backup-simplify]: Simplify (/ 1 1) into 1
11.790 * [taylor]: Taking taylor expansion of (+ (/ 1 beta) 2.0) in i
11.790 * [taylor]: Taking taylor expansion of (/ 1 beta) in i
11.790 * [taylor]: Taking taylor expansion of beta in i
11.790 * [backup-simplify]: Simplify beta into beta
11.790 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
11.790 * [taylor]: Taking taylor expansion of 2.0 in i
11.790 * [backup-simplify]: Simplify 2.0 into 2.0
11.791 * [backup-simplify]: Simplify (* alpha alpha) into (pow alpha 2)
11.791 * [backup-simplify]: Simplify (* 2.0 1) into 2.0
11.791 * [backup-simplify]: Simplify (+ 2.0 0) into 2.0
11.792 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
11.792 * [backup-simplify]: Simplify (* 2.0 1) into 2.0
11.793 * [backup-simplify]: Simplify (+ 2.0 0) into 2.0
11.793 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
11.794 * [backup-simplify]: Simplify (* 2.0 2.0) into 4.0
11.794 * [backup-simplify]: Simplify (* (pow alpha 2) 4.0) into (* 4.0 (pow alpha 2))
11.794 * [backup-simplify]: Simplify (/ 1 (* 4.0 (pow alpha 2))) into (/ 0.25 (pow alpha 2))
11.794 * [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
11.794 * [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
11.794 * [taylor]: Taking taylor expansion of 1.0 in beta
11.794 * [backup-simplify]: Simplify 1.0 into 1.0
11.794 * [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
11.794 * [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
11.794 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) in beta
11.794 * [taylor]: Taking taylor expansion of (/ 1 alpha) in beta
11.794 * [taylor]: Taking taylor expansion of alpha in beta
11.794 * [backup-simplify]: Simplify alpha into alpha
11.794 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
11.795 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0)) in beta
11.795 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in beta
11.795 * [taylor]: Taking taylor expansion of 2.0 in beta
11.795 * [backup-simplify]: Simplify 2.0 into 2.0
11.795 * [taylor]: Taking taylor expansion of (/ 1 i) in beta
11.795 * [taylor]: Taking taylor expansion of i in beta
11.795 * [backup-simplify]: Simplify i into i
11.795 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
11.795 * [taylor]: Taking taylor expansion of (+ (/ 1 beta) 2.0) in beta
11.795 * [taylor]: Taking taylor expansion of (/ 1 beta) 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 * [backup-simplify]: Simplify (/ 1 1) into 1
11.795 * [taylor]: Taking taylor expansion of 2.0 in beta
11.795 * [backup-simplify]: Simplify 2.0 into 2.0
11.795 * [taylor]: Taking taylor expansion of (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2)) in beta
11.795 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in beta
11.795 * [taylor]: Taking taylor expansion of (/ 1 alpha) in beta
11.795 * [taylor]: Taking taylor expansion of alpha in beta
11.795 * [backup-simplify]: Simplify alpha into alpha
11.796 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
11.796 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in beta
11.796 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 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 (/ 1 i) in beta
11.796 * [taylor]: Taking taylor expansion of i in beta
11.796 * [backup-simplify]: Simplify i into i
11.796 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
11.796 * [taylor]: Taking taylor expansion of (/ 1 beta) 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 * [backup-simplify]: Simplify (/ 1 1) into 1
11.796 * [taylor]: Taking taylor expansion of (pow beta 2) 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 * [backup-simplify]: Simplify (+ 1 0) into 1
11.797 * [backup-simplify]: Simplify (+ 0 1) into 1
11.797 * [backup-simplify]: Simplify (+ 0 1) into 1
11.797 * [backup-simplify]: Simplify (+ 0 1) into 1
11.797 * [backup-simplify]: Simplify (+ 0 1) into 1
11.798 * [backup-simplify]: Simplify (* 1 1) into 1
11.798 * [backup-simplify]: Simplify (* 1 1) into 1
11.798 * [backup-simplify]: Simplify (* 1 1) into 1
11.798 * [backup-simplify]: Simplify (/ 1 1) into 1
11.798 * [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
11.798 * [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
11.798 * [taylor]: Taking taylor expansion of (pow alpha 2) in beta
11.798 * [taylor]: Taking taylor expansion of alpha in beta
11.798 * [backup-simplify]: Simplify alpha into alpha
11.798 * [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
11.798 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in beta
11.798 * [taylor]: Taking taylor expansion of (/ 1 alpha) in beta
11.798 * [taylor]: Taking taylor expansion of alpha in beta
11.799 * [backup-simplify]: Simplify alpha into alpha
11.799 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
11.799 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in beta
11.799 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in beta
11.799 * [taylor]: Taking taylor expansion of 2.0 in beta
11.799 * [backup-simplify]: Simplify 2.0 into 2.0
11.799 * [taylor]: Taking taylor expansion of (/ 1 i) in beta
11.799 * [taylor]: Taking taylor expansion of i in beta
11.799 * [backup-simplify]: Simplify i into i
11.799 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
11.799 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
11.799 * [taylor]: Taking taylor expansion of beta in beta
11.799 * [backup-simplify]: Simplify 0 into 0
11.799 * [backup-simplify]: Simplify 1 into 1
11.799 * [backup-simplify]: Simplify (/ 1 1) into 1
11.799 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) in beta
11.799 * [taylor]: Taking taylor expansion of (/ 1 alpha) in beta
11.799 * [taylor]: Taking taylor expansion of alpha in beta
11.799 * [backup-simplify]: Simplify alpha into alpha
11.799 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
11.799 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0)) in beta
11.799 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in beta
11.799 * [taylor]: Taking taylor expansion of 2.0 in beta
11.799 * [backup-simplify]: Simplify 2.0 into 2.0
11.799 * [taylor]: Taking taylor expansion of (/ 1 i) in beta
11.799 * [taylor]: Taking taylor expansion of i in beta
11.799 * [backup-simplify]: Simplify i into i
11.799 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
11.799 * [taylor]: Taking taylor expansion of (+ (/ 1 beta) 2.0) in beta
11.799 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
11.799 * [taylor]: Taking taylor expansion of beta in beta
11.799 * [backup-simplify]: Simplify 0 into 0
11.799 * [backup-simplify]: Simplify 1 into 1
11.800 * [backup-simplify]: Simplify (/ 1 1) into 1
11.800 * [taylor]: Taking taylor expansion of 2.0 in beta
11.800 * [backup-simplify]: Simplify 2.0 into 2.0
11.800 * [backup-simplify]: Simplify (* alpha alpha) into (pow alpha 2)
11.800 * [backup-simplify]: Simplify (+ 0 1) into 1
11.800 * [backup-simplify]: Simplify (+ 0 1) into 1
11.800 * [backup-simplify]: Simplify (+ 1 0) into 1
11.801 * [backup-simplify]: Simplify (+ 0 1) into 1
11.801 * [backup-simplify]: Simplify (+ 0 1) into 1
11.801 * [backup-simplify]: Simplify (* 1 1) into 1
11.801 * [backup-simplify]: Simplify (* (pow alpha 2) 1) into (pow alpha 2)
11.801 * [backup-simplify]: Simplify (/ 1 (pow alpha 2)) into (/ 1 (pow alpha 2))
11.801 * [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
11.802 * [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
11.802 * [taylor]: Taking taylor expansion of 1.0 in alpha
11.802 * [backup-simplify]: Simplify 1.0 into 1.0
11.802 * [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
11.802 * [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
11.802 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) in alpha
11.802 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
11.802 * [taylor]: Taking taylor expansion of alpha in alpha
11.802 * [backup-simplify]: Simplify 0 into 0
11.802 * [backup-simplify]: Simplify 1 into 1
11.802 * [backup-simplify]: Simplify (/ 1 1) into 1
11.802 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0)) in alpha
11.802 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
11.802 * [taylor]: Taking taylor expansion of 2.0 in alpha
11.802 * [backup-simplify]: Simplify 2.0 into 2.0
11.802 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
11.802 * [taylor]: Taking taylor expansion of i in alpha
11.802 * [backup-simplify]: Simplify i into i
11.802 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
11.802 * [taylor]: Taking taylor expansion of (+ (/ 1 beta) 2.0) in alpha
11.802 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
11.802 * [taylor]: Taking taylor expansion of beta in alpha
11.802 * [backup-simplify]: Simplify beta into beta
11.802 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
11.802 * [taylor]: Taking taylor expansion of 2.0 in alpha
11.802 * [backup-simplify]: Simplify 2.0 into 2.0
11.802 * [taylor]: Taking taylor expansion of (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2)) in alpha
11.802 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in alpha
11.802 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
11.802 * [taylor]: Taking taylor expansion of alpha in alpha
11.802 * [backup-simplify]: Simplify 0 into 0
11.802 * [backup-simplify]: Simplify 1 into 1
11.803 * [backup-simplify]: Simplify (/ 1 1) into 1
11.803 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in alpha
11.803 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
11.803 * [taylor]: Taking taylor expansion of 2.0 in alpha
11.803 * [backup-simplify]: Simplify 2.0 into 2.0
11.803 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
11.803 * [taylor]: Taking taylor expansion of i in alpha
11.803 * [backup-simplify]: Simplify i into i
11.803 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
11.803 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
11.803 * [taylor]: Taking taylor expansion of beta in alpha
11.803 * [backup-simplify]: Simplify beta into beta
11.803 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
11.803 * [taylor]: Taking taylor expansion of (pow beta 2) in alpha
11.803 * [taylor]: Taking taylor expansion of beta in alpha
11.803 * [backup-simplify]: Simplify beta into beta
11.803 * [backup-simplify]: Simplify (+ 1 0) into 1
11.803 * [backup-simplify]: Simplify (+ 1 0) into 1
11.803 * [backup-simplify]: Simplify (* beta beta) into (pow beta 2)
11.804 * [backup-simplify]: Simplify (* 1 (pow beta 2)) into (pow beta 2)
11.804 * [backup-simplify]: Simplify (* 1 (pow beta 2)) into (pow beta 2)
11.804 * [backup-simplify]: Simplify (/ 1 (pow beta 2)) into (/ 1 (pow beta 2))
11.804 * [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
11.804 * [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
11.804 * [taylor]: Taking taylor expansion of (pow alpha 2) in alpha
11.804 * [taylor]: Taking taylor expansion of alpha in alpha
11.804 * [backup-simplify]: Simplify 0 into 0
11.804 * [backup-simplify]: Simplify 1 into 1
11.804 * [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
11.804 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in alpha
11.804 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
11.804 * [taylor]: Taking taylor expansion of alpha in alpha
11.804 * [backup-simplify]: Simplify 0 into 0
11.804 * [backup-simplify]: Simplify 1 into 1
11.804 * [backup-simplify]: Simplify (/ 1 1) into 1
11.804 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in alpha
11.804 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
11.804 * [taylor]: Taking taylor expansion of 2.0 in alpha
11.804 * [backup-simplify]: Simplify 2.0 into 2.0
11.804 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
11.804 * [taylor]: Taking taylor expansion of i in alpha
11.804 * [backup-simplify]: Simplify i into i
11.804 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
11.804 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
11.804 * [taylor]: Taking taylor expansion of beta in alpha
11.804 * [backup-simplify]: Simplify beta into beta
11.804 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
11.804 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) in alpha
11.805 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
11.805 * [taylor]: Taking taylor expansion of alpha in alpha
11.805 * [backup-simplify]: Simplify 0 into 0
11.805 * [backup-simplify]: Simplify 1 into 1
11.805 * [backup-simplify]: Simplify (/ 1 1) into 1
11.805 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0)) in alpha
11.805 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
11.805 * [taylor]: Taking taylor expansion of 2.0 in alpha
11.805 * [backup-simplify]: Simplify 2.0 into 2.0
11.805 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
11.805 * [taylor]: Taking taylor expansion of i in alpha
11.805 * [backup-simplify]: Simplify i into i
11.805 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
11.805 * [taylor]: Taking taylor expansion of (+ (/ 1 beta) 2.0) in alpha
11.805 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
11.805 * [taylor]: Taking taylor expansion of beta in alpha
11.805 * [backup-simplify]: Simplify beta into beta
11.805 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
11.805 * [taylor]: Taking taylor expansion of 2.0 in alpha
11.805 * [backup-simplify]: Simplify 2.0 into 2.0
11.805 * [backup-simplify]: Simplify (* 1 1) into 1
11.806 * [backup-simplify]: Simplify (+ 1 0) into 1
11.806 * [backup-simplify]: Simplify (+ 1 0) into 1
11.806 * [backup-simplify]: Simplify (* 1 1) into 1
11.806 * [backup-simplify]: Simplify (* 1 1) into 1
11.807 * [backup-simplify]: Simplify (/ 1 1) into 1
11.807 * [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
11.807 * [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
11.807 * [taylor]: Taking taylor expansion of 1.0 in alpha
11.807 * [backup-simplify]: Simplify 1.0 into 1.0
11.807 * [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
11.807 * [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
11.807 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) in alpha
11.807 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
11.807 * [taylor]: Taking taylor expansion of alpha in alpha
11.807 * [backup-simplify]: Simplify 0 into 0
11.807 * [backup-simplify]: Simplify 1 into 1
11.807 * [backup-simplify]: Simplify (/ 1 1) into 1
11.807 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0)) in alpha
11.807 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
11.807 * [taylor]: Taking taylor expansion of 2.0 in alpha
11.807 * [backup-simplify]: Simplify 2.0 into 2.0
11.807 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
11.807 * [taylor]: Taking taylor expansion of i in alpha
11.807 * [backup-simplify]: Simplify i into i
11.807 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
11.807 * [taylor]: Taking taylor expansion of (+ (/ 1 beta) 2.0) in alpha
11.807 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
11.807 * [taylor]: Taking taylor expansion of beta in alpha
11.807 * [backup-simplify]: Simplify beta into beta
11.807 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
11.807 * [taylor]: Taking taylor expansion of 2.0 in alpha
11.807 * [backup-simplify]: Simplify 2.0 into 2.0
11.807 * [taylor]: Taking taylor expansion of (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2)) in alpha
11.807 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in alpha
11.807 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
11.807 * [taylor]: Taking taylor expansion of alpha in alpha
11.807 * [backup-simplify]: Simplify 0 into 0
11.807 * [backup-simplify]: Simplify 1 into 1
11.808 * [backup-simplify]: Simplify (/ 1 1) into 1
11.808 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in alpha
11.808 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
11.808 * [taylor]: Taking taylor expansion of 2.0 in alpha
11.808 * [backup-simplify]: Simplify 2.0 into 2.0
11.808 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
11.808 * [taylor]: Taking taylor expansion of i in alpha
11.808 * [backup-simplify]: Simplify i into i
11.808 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
11.808 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
11.808 * [taylor]: Taking taylor expansion of beta in alpha
11.808 * [backup-simplify]: Simplify beta into beta
11.808 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
11.808 * [taylor]: Taking taylor expansion of (pow beta 2) in alpha
11.808 * [taylor]: Taking taylor expansion of beta in alpha
11.808 * [backup-simplify]: Simplify beta into beta
11.808 * [backup-simplify]: Simplify (+ 1 0) into 1
11.809 * [backup-simplify]: Simplify (+ 1 0) into 1
11.809 * [backup-simplify]: Simplify (* beta beta) into (pow beta 2)
11.809 * [backup-simplify]: Simplify (* 1 (pow beta 2)) into (pow beta 2)
11.809 * [backup-simplify]: Simplify (* 1 (pow beta 2)) into (pow beta 2)
11.809 * [backup-simplify]: Simplify (/ 1 (pow beta 2)) into (/ 1 (pow beta 2))
11.809 * [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
11.809 * [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
11.809 * [taylor]: Taking taylor expansion of (pow alpha 2) in alpha
11.809 * [taylor]: Taking taylor expansion of alpha in alpha
11.809 * [backup-simplify]: Simplify 0 into 0
11.809 * [backup-simplify]: Simplify 1 into 1
11.809 * [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
11.809 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in alpha
11.809 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
11.809 * [taylor]: Taking taylor expansion of alpha in alpha
11.809 * [backup-simplify]: Simplify 0 into 0
11.809 * [backup-simplify]: Simplify 1 into 1
11.809 * [backup-simplify]: Simplify (/ 1 1) into 1
11.809 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in alpha
11.809 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
11.809 * [taylor]: Taking taylor expansion of 2.0 in alpha
11.809 * [backup-simplify]: Simplify 2.0 into 2.0
11.809 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
11.809 * [taylor]: Taking taylor expansion of i in alpha
11.810 * [backup-simplify]: Simplify i into i
11.810 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
11.810 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
11.810 * [taylor]: Taking taylor expansion of beta in alpha
11.810 * [backup-simplify]: Simplify beta into beta
11.810 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
11.810 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) in alpha
11.810 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
11.810 * [taylor]: Taking taylor expansion of alpha in alpha
11.810 * [backup-simplify]: Simplify 0 into 0
11.810 * [backup-simplify]: Simplify 1 into 1
11.810 * [backup-simplify]: Simplify (/ 1 1) into 1
11.810 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0)) in alpha
11.810 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
11.810 * [taylor]: Taking taylor expansion of 2.0 in alpha
11.810 * [backup-simplify]: Simplify 2.0 into 2.0
11.810 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
11.810 * [taylor]: Taking taylor expansion of i in alpha
11.810 * [backup-simplify]: Simplify i into i
11.810 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
11.810 * [taylor]: Taking taylor expansion of (+ (/ 1 beta) 2.0) in alpha
11.810 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
11.810 * [taylor]: Taking taylor expansion of beta in alpha
11.810 * [backup-simplify]: Simplify beta into beta
11.810 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
11.810 * [taylor]: Taking taylor expansion of 2.0 in alpha
11.810 * [backup-simplify]: Simplify 2.0 into 2.0
11.811 * [backup-simplify]: Simplify (* 1 1) into 1
11.811 * [backup-simplify]: Simplify (+ 1 0) into 1
11.811 * [backup-simplify]: Simplify (+ 1 0) into 1
11.811 * [backup-simplify]: Simplify (* 1 1) into 1
11.811 * [backup-simplify]: Simplify (* 1 1) into 1
11.812 * [backup-simplify]: Simplify (/ 1 1) into 1
11.812 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0
11.812 * [backup-simplify]: Simplify (- 1) into -1
11.813 * [backup-simplify]: Simplify (+ 1.0 -1) into 0
11.813 * [taylor]: Taking taylor expansion of 0 in beta
11.813 * [backup-simplify]: Simplify 0 into 0
11.813 * [taylor]: Taking taylor expansion of 0 in i
11.813 * [backup-simplify]: Simplify 0 into 0
11.813 * [backup-simplify]: Simplify 0 into 0
11.813 * [backup-simplify]: Simplify (+ 0 0) into 0
11.813 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.813 * [backup-simplify]: Simplify (* 2.0 (/ 1 i)) into (/ 2.0 i)
11.813 * [backup-simplify]: Simplify (+ (/ 1 beta) 2.0) into (+ (/ 1 beta) 2.0)
11.814 * [backup-simplify]: Simplify (+ (/ 2.0 i) (+ (/ 1 beta) 2.0)) into (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))
11.814 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) into (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))
11.814 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.814 * [backup-simplify]: Simplify (* 2.0 (/ 1 i)) into (/ 2.0 i)
11.814 * [backup-simplify]: Simplify (+ (/ 2.0 i) (/ 1 beta)) into (+ (* 2.0 (/ 1 i)) (/ 1 beta))
11.814 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 (/ 1 i)) (/ 1 beta))) into (+ (* 2.0 (/ 1 i)) (/ 1 beta))
11.815 * [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))
11.815 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.816 * [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))
11.816 * [backup-simplify]: Simplify (- (+ (* 1 (/ (+ (* 4.0 (/ 1 i)) (+ (* 2 (/ 1 beta)) 2.0)) 1)))) into (- (+ (* 4.0 (/ 1 i)) (+ (* 2 (/ 1 beta)) 2.0)))
11.816 * [backup-simplify]: Simplify (- (- (+ (* 4.0 (/ 1 i)) (+ (* 2 (/ 1 beta)) 2.0)))) into (+ (* 4.0 (/ 1 i)) (+ (* 2 (/ 1 beta)) 2.0))
11.816 * [backup-simplify]: Simplify (+ 0 (+ (* 4.0 (/ 1 i)) (+ (* 2 (/ 1 beta)) 2.0))) into (+ (* 4.0 (/ 1 i)) (+ (* 2 (/ 1 beta)) 2.0))
11.816 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 i)) (+ (* 2 (/ 1 beta)) 2.0)) in beta
11.816 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 i)) in beta
11.816 * [taylor]: Taking taylor expansion of 4.0 in beta
11.816 * [backup-simplify]: Simplify 4.0 into 4.0
11.816 * [taylor]: Taking taylor expansion of (/ 1 i) in beta
11.816 * [taylor]: Taking taylor expansion of i in beta
11.816 * [backup-simplify]: Simplify i into i
11.816 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
11.816 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 beta)) 2.0) in beta
11.816 * [taylor]: Taking taylor expansion of (* 2 (/ 1 beta)) in beta
11.816 * [taylor]: Taking taylor expansion of 2 in beta
11.816 * [backup-simplify]: Simplify 2 into 2
11.816 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
11.816 * [taylor]: Taking taylor expansion of beta in beta
11.816 * [backup-simplify]: Simplify 0 into 0
11.816 * [backup-simplify]: Simplify 1 into 1
11.817 * [backup-simplify]: Simplify (/ 1 1) into 1
11.817 * [taylor]: Taking taylor expansion of 2.0 in beta
11.817 * [backup-simplify]: Simplify 2.0 into 2.0
11.817 * [backup-simplify]: Simplify (* 4.0 (/ 1 i)) into (/ 4.0 i)
11.817 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.822 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0
11.823 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
11.823 * [backup-simplify]: Simplify (+ (/ 4.0 i) 2.0) into (+ (* 4.0 (/ 1 i)) 2.0)
11.823 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 i)) 2.0) in i
11.823 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 i)) in i
11.823 * [taylor]: Taking taylor expansion of 4.0 in i
11.823 * [backup-simplify]: Simplify 4.0 into 4.0
11.823 * [taylor]: Taking taylor expansion of (/ 1 i) in i
11.823 * [taylor]: Taking taylor expansion of i in i
11.823 * [backup-simplify]: Simplify 0 into 0
11.823 * [backup-simplify]: Simplify 1 into 1
11.823 * [backup-simplify]: Simplify (/ 1 1) into 1
11.823 * [taylor]: Taking taylor expansion of 2.0 in i
11.823 * [backup-simplify]: Simplify 2.0 into 2.0
11.824 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.824 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 1)) into 0
11.824 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
11.824 * [backup-simplify]: Simplify 2.0 into 2.0
11.824 * [taylor]: Taking taylor expansion of 0 in i
11.824 * [backup-simplify]: Simplify 0 into 0
11.825 * [backup-simplify]: Simplify 0 into 0
11.825 * [backup-simplify]: Simplify 0 into 0
11.825 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow beta 2))) into (/ 1 (pow beta 2))
11.825 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.825 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
11.826 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 (/ 1 i))) into 0
11.826 * [backup-simplify]: Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
11.826 * [backup-simplify]: Simplify (+ 0 0) into 0
11.826 * [backup-simplify]: Simplify (+ 0 0) into 0
11.826 * [backup-simplify]: Simplify (+ 0 0) into 0
11.827 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.827 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
11.828 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 (/ 1 i))) into 0
11.828 * [backup-simplify]: Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
11.828 * [backup-simplify]: Simplify (+ 0 0) into 0
11.828 * [backup-simplify]: Simplify (+ 0 0) into 0
11.829 * [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))))))
11.830 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
11.831 * [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))))))
11.832 * [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)))))
11.833 * [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))))))
11.834 * [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))))))
11.834 * [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
11.834 * [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
11.834 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow beta 2))) in beta
11.834 * [taylor]: Taking taylor expansion of 2 in beta
11.834 * [backup-simplify]: Simplify 2 into 2
11.834 * [taylor]: Taking taylor expansion of (/ 1 (pow beta 2)) in beta
11.834 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
11.834 * [taylor]: Taking taylor expansion of beta in beta
11.834 * [backup-simplify]: Simplify 0 into 0
11.834 * [backup-simplify]: Simplify 1 into 1
11.835 * [backup-simplify]: Simplify (* 1 1) into 1
11.835 * [backup-simplify]: Simplify (/ 1 1) into 1
11.835 * [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
11.835 * [taylor]: Taking taylor expansion of (* 12.0 (/ 1 (pow i 2))) in beta
11.835 * [taylor]: Taking taylor expansion of 12.0 in beta
11.835 * [backup-simplify]: Simplify 12.0 into 12.0
11.835 * [taylor]: Taking taylor expansion of (/ 1 (pow i 2)) in beta
11.835 * [taylor]: Taking taylor expansion of (pow i 2) in beta
11.835 * [taylor]: Taking taylor expansion of i in beta
11.835 * [backup-simplify]: Simplify i into i
11.835 * [backup-simplify]: Simplify (* i i) into (pow i 2)
11.835 * [backup-simplify]: Simplify (/ 1 (pow i 2)) into (/ 1 (pow i 2))
11.835 * [taylor]: Taking taylor expansion of (+ (* 6.0 (/ 1 beta)) (+ (* 12.0 (/ 1 i)) (+ (* 12.0 (/ 1 (* i beta))) 4.0))) in beta
11.835 * [taylor]: Taking taylor expansion of (* 6.0 (/ 1 beta)) in beta
11.835 * [taylor]: Taking taylor expansion of 6.0 in beta
11.835 * [backup-simplify]: Simplify 6.0 into 6.0
11.835 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
11.835 * [taylor]: Taking taylor expansion of beta in beta
11.835 * [backup-simplify]: Simplify 0 into 0
11.835 * [backup-simplify]: Simplify 1 into 1
11.835 * [backup-simplify]: Simplify (/ 1 1) into 1
11.836 * [taylor]: Taking taylor expansion of (+ (* 12.0 (/ 1 i)) (+ (* 12.0 (/ 1 (* i beta))) 4.0)) in beta
11.836 * [taylor]: Taking taylor expansion of (* 12.0 (/ 1 i)) in beta
11.836 * [taylor]: Taking taylor expansion of 12.0 in beta
11.836 * [backup-simplify]: Simplify 12.0 into 12.0
11.836 * [taylor]: Taking taylor expansion of (/ 1 i) in beta
11.836 * [taylor]: Taking taylor expansion of i in beta
11.836 * [backup-simplify]: Simplify i into i
11.836 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
11.836 * [taylor]: Taking taylor expansion of (+ (* 12.0 (/ 1 (* i beta))) 4.0) in beta
11.836 * [taylor]: Taking taylor expansion of (* 12.0 (/ 1 (* i beta))) in beta
11.836 * [taylor]: Taking taylor expansion of 12.0 in beta
11.836 * [backup-simplify]: Simplify 12.0 into 12.0
11.836 * [taylor]: Taking taylor expansion of (/ 1 (* i beta)) in beta
11.836 * [taylor]: Taking taylor expansion of (* i beta) in beta
11.836 * [taylor]: Taking taylor expansion of i in beta
11.836 * [backup-simplify]: Simplify i into i
11.836 * [taylor]: Taking taylor expansion of beta in beta
11.836 * [backup-simplify]: Simplify 0 into 0
11.836 * [backup-simplify]: Simplify 1 into 1
11.836 * [backup-simplify]: Simplify (* i 0) into 0
11.836 * [backup-simplify]: Simplify (+ (* i 1) (* 0 0)) into i
11.836 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
11.836 * [taylor]: Taking taylor expansion of 4.0 in beta
11.836 * [backup-simplify]: Simplify 4.0 into 4.0
11.837 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
11.837 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.838 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.838 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.839 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0
11.839 * [backup-simplify]: Simplify (* 12.0 (/ 1 (pow i 2))) into (/ 12.0 (pow i 2))
11.839 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.840 * [backup-simplify]: Simplify (+ (* 6.0 0) (* 0 1)) into 0
11.840 * [backup-simplify]: Simplify (* 12.0 (/ 1 i)) into (/ 12.0 i)
11.840 * [backup-simplify]: Simplify (+ (* i 0) (+ (* 0 1) (* 0 0))) into 0
11.840 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
11.841 * [backup-simplify]: Simplify (+ (* 12.0 0) (* 0 (/ 1 i))) into 0
11.841 * [backup-simplify]: Simplify (+ 0 4.0) into 4.0
11.841 * [backup-simplify]: Simplify (+ (/ 12.0 i) 4.0) into (+ (* 12.0 (/ 1 i)) 4.0)
11.841 * [backup-simplify]: Simplify (+ 0 (+ (* 12.0 (/ 1 i)) 4.0)) into (+ (* 12.0 (/ 1 i)) 4.0)
11.841 * [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))
11.842 * [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))
11.842 * [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)))
11.842 * [taylor]: Taking taylor expansion of (- (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 12.0 (/ 1 i)) 4.0))) in i
11.842 * [taylor]: Taking taylor expansion of (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 12.0 (/ 1 i)) 4.0)) in i
11.842 * [taylor]: Taking taylor expansion of (* 12.0 (/ 1 (pow i 2))) in i
11.842 * [taylor]: Taking taylor expansion of 12.0 in i
11.842 * [backup-simplify]: Simplify 12.0 into 12.0
11.842 * [taylor]: Taking taylor expansion of (/ 1 (pow i 2)) in i
11.842 * [taylor]: Taking taylor expansion of (pow i 2) in i
11.842 * [taylor]: Taking taylor expansion of i in i
11.842 * [backup-simplify]: Simplify 0 into 0
11.842 * [backup-simplify]: Simplify 1 into 1
11.842 * [backup-simplify]: Simplify (* 1 1) into 1
11.843 * [backup-simplify]: Simplify (/ 1 1) into 1
11.843 * [taylor]: Taking taylor expansion of (+ (* 12.0 (/ 1 i)) 4.0) in i
11.843 * [taylor]: Taking taylor expansion of (* 12.0 (/ 1 i)) in i
11.843 * [taylor]: Taking taylor expansion of 12.0 in i
11.843 * [backup-simplify]: Simplify 12.0 into 12.0
11.843 * [taylor]: Taking taylor expansion of (/ 1 i) in i
11.843 * [taylor]: Taking taylor expansion of i in i
11.843 * [backup-simplify]: Simplify 0 into 0
11.843 * [backup-simplify]: Simplify 1 into 1
11.843 * [backup-simplify]: Simplify (/ 1 1) into 1
11.843 * [taylor]: Taking taylor expansion of 4.0 in i
11.843 * [backup-simplify]: Simplify 4.0 into 4.0
11.844 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
11.845 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.845 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.846 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.846 * [backup-simplify]: Simplify (+ (* 12.0 0) (+ (* 0 0) (* 0 1))) into 0
11.847 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.847 * [backup-simplify]: Simplify (+ (* 12.0 0) (* 0 1)) into 0
11.848 * [backup-simplify]: Simplify (+ 0 4.0) into 4.0
11.848 * [backup-simplify]: Simplify (+ 0 4.0) into 4.0
11.848 * [backup-simplify]: Simplify (- 4.0) into (- 4.0)
11.848 * [backup-simplify]: Simplify (- 4.0) into (- 4.0)
11.849 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
11.849 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 i))) into 0
11.849 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.850 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0
11.850 * [backup-simplify]: Simplify (+ 0 0) into 0
11.850 * [backup-simplify]: Simplify (+ 0 0) into 0
11.850 * [taylor]: Taking taylor expansion of 0 in i
11.850 * [backup-simplify]: Simplify 0 into 0
11.851 * [backup-simplify]: Simplify 0 into 0
11.851 * [taylor]: Taking taylor expansion of 0 in i
11.851 * [backup-simplify]: Simplify 0 into 0
11.851 * [backup-simplify]: Simplify 0 into 0
11.851 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.852 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 1))) into 0
11.852 * [backup-simplify]: Simplify (+ 0 0) into 0
11.852 * [backup-simplify]: Simplify 0 into 0
11.852 * [backup-simplify]: Simplify 0 into 0
11.852 * [backup-simplify]: Simplify 0 into 0
11.852 * [backup-simplify]: Simplify (+ (* beta 0) (* 0 beta)) into 0
11.852 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.853 * [backup-simplify]: Simplify (* 2.0 (/ 1 i)) into (/ 2.0 i)
11.853 * [backup-simplify]: Simplify (+ (/ 2.0 i) (/ 1 beta)) into (+ (* 2.0 (/ 1 i)) (/ 1 beta))
11.853 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 (/ 1 i)) (/ 1 beta))) into (+ (* 2.0 (/ 1 i)) (/ 1 beta))
11.853 * [backup-simplify]: Simplify (+ (* 1 0) (* (+ (* 2.0 (/ 1 i)) (/ 1 beta)) (pow beta 2))) into (+ (* 2.0 (/ (pow beta 2) i)) beta)
11.854 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.854 * [backup-simplify]: Simplify (* 2.0 (/ 1 i)) into (/ 2.0 i)
11.854 * [backup-simplify]: Simplify (+ (/ 1 beta) 2.0) into (+ (/ 1 beta) 2.0)
11.854 * [backup-simplify]: Simplify (+ (/ 2.0 i) (+ (/ 1 beta) 2.0)) into (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))
11.854 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) into (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))
11.855 * [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)))
11.855 * [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))))))
11.856 * [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))))))
11.856 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.856 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)) (* 0 (/ 0 i)))) into 0
11.857 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 (/ 1 i)))) into 0
11.857 * [backup-simplify]: Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
11.857 * [backup-simplify]: Simplify (+ 0 0) into 0
11.858 * [backup-simplify]: Simplify (+ 0 0) into 0
11.858 * [backup-simplify]: Simplify (+ 0 0) into 0
11.858 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.858 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)) (* 0 (/ 0 i)))) into 0
11.859 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 (/ 1 i)))) into 0
11.859 * [backup-simplify]: Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
11.859 * [backup-simplify]: Simplify (+ 0 0) into 0
11.860 * [backup-simplify]: Simplify (+ 0 0) into 0
11.861 * [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
11.862 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
11.864 * [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
11.868 * [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)))))))))))))
11.872 * [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)))))))))
11.877 * [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))))))))))))
11.877 * [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
11.877 * [taylor]: Taking taylor expansion of (* 20.0 (/ 1 (* i (pow beta 2)))) in beta
11.877 * [taylor]: Taking taylor expansion of 20.0 in beta
11.877 * [backup-simplify]: Simplify 20.0 into 20.0
11.877 * [taylor]: Taking taylor expansion of (/ 1 (* i (pow beta 2))) in beta
11.877 * [taylor]: Taking taylor expansion of (* i (pow beta 2)) in beta
11.877 * [taylor]: Taking taylor expansion of i in beta
11.877 * [backup-simplify]: Simplify i into i
11.877 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
11.877 * [taylor]: Taking taylor expansion of beta in beta
11.877 * [backup-simplify]: Simplify 0 into 0
11.877 * [backup-simplify]: Simplify 1 into 1
11.878 * [backup-simplify]: Simplify (* 1 1) into 1
11.878 * [backup-simplify]: Simplify (* i 1) into i
11.878 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
11.878 * [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
11.878 * [taylor]: Taking taylor expansion of (* 48.0 (/ 1 (pow i 2))) in beta
11.878 * [taylor]: Taking taylor expansion of 48.0 in beta
11.878 * [backup-simplify]: Simplify 48.0 into 48.0
11.878 * [taylor]: Taking taylor expansion of (/ 1 (pow i 2)) in beta
11.878 * [taylor]: Taking taylor expansion of (pow i 2) in beta
11.878 * [taylor]: Taking taylor expansion of i in beta
11.878 * [backup-simplify]: Simplify i into i
11.879 * [backup-simplify]: Simplify (* i i) into (pow i 2)
11.879 * [backup-simplify]: Simplify (/ 1 (pow i 2)) into (/ 1 (pow i 2))
11.879 * [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
11.879 * [taylor]: Taking taylor expansion of 8.0 in beta
11.879 * [backup-simplify]: Simplify 8.0 into 8.0
11.879 * [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
11.879 * [taylor]: Taking taylor expansion of (* 10.0 (/ 1 (pow beta 2))) in beta
11.879 * [taylor]: Taking taylor expansion of 10.0 in beta
11.879 * [backup-simplify]: Simplify 10.0 into 10.0
11.879 * [taylor]: Taking taylor expansion of (/ 1 (pow beta 2)) in beta
11.879 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
11.879 * [taylor]: Taking taylor expansion of beta in beta
11.879 * [backup-simplify]: Simplify 0 into 0
11.879 * [backup-simplify]: Simplify 1 into 1
11.879 * [backup-simplify]: Simplify (* 1 1) into 1
11.880 * [backup-simplify]: Simplify (/ 1 1) into 1
11.880 * [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
11.880 * [taylor]: Taking taylor expansion of (* 48.0 (/ 1 (* i beta))) in beta
11.880 * [taylor]: Taking taylor expansion of 48.0 in beta
11.880 * [backup-simplify]: Simplify 48.0 into 48.0
11.880 * [taylor]: Taking taylor expansion of (/ 1 (* i beta)) in beta
11.880 * [taylor]: Taking taylor expansion of (* i beta) in beta
11.880 * [taylor]: Taking taylor expansion of i in beta
11.880 * [backup-simplify]: Simplify i into i
11.880 * [taylor]: Taking taylor expansion of beta in beta
11.880 * [backup-simplify]: Simplify 0 into 0
11.880 * [backup-simplify]: Simplify 1 into 1
11.880 * [backup-simplify]: Simplify (* i 0) into 0
11.881 * [backup-simplify]: Simplify (+ (* i 1) (* 0 0)) into i
11.881 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
11.881 * [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
11.881 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow beta 3))) in beta
11.881 * [taylor]: Taking taylor expansion of 2 in beta
11.881 * [backup-simplify]: Simplify 2 into 2
11.881 * [taylor]: Taking taylor expansion of (/ 1 (pow beta 3)) in beta
11.881 * [taylor]: Taking taylor expansion of (pow beta 3) in beta
11.881 * [taylor]: Taking taylor expansion of beta in beta
11.881 * [backup-simplify]: Simplify 0 into 0
11.881 * [backup-simplify]: Simplify 1 into 1
11.881 * [backup-simplify]: Simplify (* 1 1) into 1
11.882 * [backup-simplify]: Simplify (* 1 1) into 1
11.882 * [backup-simplify]: Simplify (/ 1 1) into 1
11.882 * [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
11.882 * [taylor]: Taking taylor expansion of (* 48.0 (/ 1 (* (pow i 2) beta))) in beta
11.882 * [taylor]: Taking taylor expansion of 48.0 in beta
11.882 * [backup-simplify]: Simplify 48.0 into 48.0
11.882 * [taylor]: Taking taylor expansion of (/ 1 (* (pow i 2) beta)) in beta
11.882 * [taylor]: Taking taylor expansion of (* (pow i 2) beta) in beta
11.882 * [taylor]: Taking taylor expansion of (pow i 2) in beta
11.882 * [taylor]: Taking taylor expansion of i in beta
11.882 * [backup-simplify]: Simplify i into i
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
11.883 * [backup-simplify]: Simplify (* i i) into (pow i 2)
11.883 * [backup-simplify]: Simplify (* (pow i 2) 0) into 0
11.883 * [backup-simplify]: Simplify (+ (* i 0) (* 0 i)) into 0
11.883 * [backup-simplify]: Simplify (+ (* (pow i 2) 1) (* 0 0)) into (pow i 2)
11.884 * [backup-simplify]: Simplify (/ 1 (pow i 2)) into (/ 1 (pow i 2))
11.884 * [taylor]: Taking taylor expansion of (+ (* 32.0 (/ 1 i)) (+ (* 16.0 (/ 1 beta)) (* 32.0 (/ 1 (pow i 3))))) in beta
11.884 * [taylor]: Taking taylor expansion of (* 32.0 (/ 1 i)) in beta
11.884 * [taylor]: Taking taylor expansion of 32.0 in beta
11.884 * [backup-simplify]: Simplify 32.0 into 32.0
11.884 * [taylor]: Taking taylor expansion of (/ 1 i) in beta
11.884 * [taylor]: Taking taylor expansion of i in beta
11.884 * [backup-simplify]: Simplify i into i
11.884 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
11.884 * [taylor]: Taking taylor expansion of (+ (* 16.0 (/ 1 beta)) (* 32.0 (/ 1 (pow i 3)))) in beta
11.884 * [taylor]: Taking taylor expansion of (* 16.0 (/ 1 beta)) in beta
11.884 * [taylor]: Taking taylor expansion of 16.0 in beta
11.884 * [backup-simplify]: Simplify 16.0 into 16.0
11.884 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
11.884 * [taylor]: Taking taylor expansion of beta in beta
11.884 * [backup-simplify]: Simplify 0 into 0
11.884 * [backup-simplify]: Simplify 1 into 1
11.884 * [backup-simplify]: Simplify (/ 1 1) into 1
11.884 * [taylor]: Taking taylor expansion of (* 32.0 (/ 1 (pow i 3))) in beta
11.885 * [taylor]: Taking taylor expansion of 32.0 in beta
11.885 * [backup-simplify]: Simplify 32.0 into 32.0
11.885 * [taylor]: Taking taylor expansion of (/ 1 (pow i 3)) in beta
11.885 * [taylor]: Taking taylor expansion of (pow i 3) in beta
11.885 * [taylor]: Taking taylor expansion of i in beta
11.885 * [backup-simplify]: Simplify i into i
11.885 * [backup-simplify]: Simplify (* i i) into (pow i 2)
11.885 * [backup-simplify]: Simplify (* i (pow i 2)) into (pow i 3)
11.885 * [backup-simplify]: Simplify (/ 1 (pow i 3)) into (/ 1 (pow i 3))
11.886 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
11.886 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.887 * [backup-simplify]: Simplify (+ (* i 0) (+ (* 0 0) (* 0 1))) into 0
11.888 * [backup-simplify]: Simplify (+ (* i 0) (* 0 1)) into 0
11.888 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
11.888 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)) (* 0 (/ 0 i)))) into 0
11.889 * [backup-simplify]: Simplify (+ (* 20.0 0) (+ (* 0 0) (* 0 (/ 1 i)))) into 0
11.889 * [backup-simplify]: Simplify (* 48.0 (/ 1 (pow i 2))) into (/ 48.0 (pow i 2))
11.890 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
11.891 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.891 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.892 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.893 * [backup-simplify]: Simplify (+ (* 10.0 0) (+ (* 0 0) (* 0 1))) into 0
11.894 * [backup-simplify]: Simplify (+ (* i 0) (+ (* 0 1) (* 0 0))) into 0
11.894 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
11.894 * [backup-simplify]: Simplify (+ (* 48.0 0) (* 0 (/ 1 i))) into 0
11.895 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 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
11.898 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
11.899 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.899 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.900 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
11.901 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.902 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.903 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
11.904 * [backup-simplify]: Simplify (+ (* i 0) (+ (* 0 0) (* 0 i))) into 0
11.904 * [backup-simplify]: Simplify (+ (* (pow i 2) 0) (+ (* 0 1) (* 0 0))) into 0
11.905 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow i 2)) (/ 0 (pow i 2))))) into 0
11.905 * [backup-simplify]: Simplify (+ (* 48.0 0) (* 0 (/ 1 (pow i 2)))) into 0
11.905 * [backup-simplify]: Simplify (* 32.0 (/ 1 i)) into (/ 32.0 i)
11.906 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.907 * [backup-simplify]: Simplify (+ (* 16.0 0) (* 0 1)) into 0
11.907 * [backup-simplify]: Simplify (* 32.0 (/ 1 (pow i 3))) into (/ 32.0 (pow i 3))
11.907 * [backup-simplify]: Simplify (+ 0 (/ 32.0 (pow i 3))) into (* 32.0 (/ 1 (pow i 3)))
11.908 * [backup-simplify]: Simplify (+ (/ 32.0 i) (* 32.0 (/ 1 (pow i 3)))) into (+ (* 32.0 (/ 1 i)) (* 32.0 (/ 1 (pow i 3))))
11.908 * [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)))
11.908 * [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)))
11.909 * [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)))
11.909 * [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)))
11.909 * [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))
11.910 * [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)))
11.910 * [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)))
11.911 * [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
11.911 * [taylor]: Taking taylor expansion of (* 48.0 (/ 1 (pow i 2))) in i
11.911 * [taylor]: Taking taylor expansion of 48.0 in i
11.911 * [backup-simplify]: Simplify 48.0 into 48.0
11.911 * [taylor]: Taking taylor expansion of (/ 1 (pow i 2)) in i
11.911 * [taylor]: Taking taylor expansion of (pow i 2) in i
11.911 * [taylor]: Taking taylor expansion of i in i
11.911 * [backup-simplify]: Simplify 0 into 0
11.911 * [backup-simplify]: Simplify 1 into 1
11.911 * [backup-simplify]: Simplify (* 1 1) into 1
11.912 * [backup-simplify]: Simplify (/ 1 1) into 1
11.912 * [taylor]: Taking taylor expansion of (+ (* 32.0 (/ 1 (pow i 3))) (+ (* 32.0 (/ 1 i)) 8.0)) in i
11.912 * [taylor]: Taking taylor expansion of (* 32.0 (/ 1 (pow i 3))) in i
11.912 * [taylor]: Taking taylor expansion of 32.0 in i
11.912 * [backup-simplify]: Simplify 32.0 into 32.0
11.912 * [taylor]: Taking taylor expansion of (/ 1 (pow i 3)) in i
11.912 * [taylor]: Taking taylor expansion of (pow i 3) in i
11.912 * [taylor]: Taking taylor expansion of i in i
11.912 * [backup-simplify]: Simplify 0 into 0
11.912 * [backup-simplify]: Simplify 1 into 1
11.912 * [backup-simplify]: Simplify (* 1 1) into 1
11.913 * [backup-simplify]: Simplify (* 1 1) into 1
11.913 * [backup-simplify]: Simplify (/ 1 1) into 1
11.913 * [taylor]: Taking taylor expansion of (+ (* 32.0 (/ 1 i)) 8.0) in i
11.913 * [taylor]: Taking taylor expansion of (* 32.0 (/ 1 i)) in i
11.913 * [taylor]: Taking taylor expansion of 32.0 in i
11.913 * [backup-simplify]: Simplify 32.0 into 32.0
11.913 * [taylor]: Taking taylor expansion of (/ 1 i) in i
11.913 * [taylor]: Taking taylor expansion of i in i
11.913 * [backup-simplify]: Simplify 0 into 0
11.913 * [backup-simplify]: Simplify 1 into 1
11.914 * [backup-simplify]: Simplify (/ 1 1) into 1
11.914 * [taylor]: Taking taylor expansion of 8.0 in i
11.914 * [backup-simplify]: Simplify 8.0 into 8.0
11.915 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
11.915 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.916 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.917 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.918 * [backup-simplify]: Simplify (+ (* 48.0 0) (+ (* 0 0) (* 0 1))) into 0
11.919 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
11.920 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
11.920 * [backup-simplify]: Simplify (+ (* 1 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 1)) into 0
11.923 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.924 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
11.925 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.925 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.927 * [backup-simplify]: Simplify (+ (* 32.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
11.927 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.928 * [backup-simplify]: Simplify (+ (* 32.0 0) (* 0 1)) into 0
11.929 * [backup-simplify]: Simplify (+ 0 8.0) into 8.0
11.929 * [backup-simplify]: Simplify (+ 0 8.0) into 8.0
11.929 * [backup-simplify]: Simplify (+ 0 8.0) into 8.0
11.930 * [backup-simplify]: Simplify 8.0 into 8.0
11.931 * [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))))
11.932 * [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)))))
11.932 * [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
11.932 * [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
11.932 * [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
11.932 * [taylor]: Taking taylor expansion of 1.0 in i
11.933 * [backup-simplify]: Simplify 1.0 into 1.0
11.933 * [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
11.933 * [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
11.933 * [taylor]: Taking taylor expansion of (pow alpha 2) in i
11.933 * [taylor]: Taking taylor expansion of alpha in i
11.933 * [backup-simplify]: Simplify alpha into alpha
11.933 * [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
11.933 * [taylor]: Taking taylor expansion of (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) in i
11.933 * [taylor]: Taking taylor expansion of 2.0 in i
11.933 * [backup-simplify]: Simplify 2.0 into 2.0
11.933 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in i
11.933 * [taylor]: Taking taylor expansion of (/ 1 alpha) in i
11.933 * [taylor]: Taking taylor expansion of alpha in i
11.933 * [backup-simplify]: Simplify alpha into alpha
11.933 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
11.933 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in i
11.933 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in i
11.933 * [taylor]: Taking taylor expansion of 2.0 in i
11.933 * [backup-simplify]: Simplify 2.0 into 2.0
11.933 * [taylor]: Taking taylor expansion of (/ 1 i) in i
11.933 * [taylor]: Taking taylor expansion of i in i
11.933 * [backup-simplify]: Simplify 0 into 0
11.933 * [backup-simplify]: Simplify 1 into 1
11.934 * [backup-simplify]: Simplify (/ 1 1) into 1
11.934 * [taylor]: Taking taylor expansion of (/ 1 beta) in i
11.934 * [taylor]: Taking taylor expansion of beta in i
11.934 * [backup-simplify]: Simplify beta into beta
11.934 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
11.934 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in i
11.934 * [taylor]: Taking taylor expansion of (/ 1 alpha) in i
11.934 * [taylor]: Taking taylor expansion of alpha in i
11.934 * [backup-simplify]: Simplify alpha into alpha
11.934 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
11.934 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in i
11.934 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in i
11.934 * [taylor]: Taking taylor expansion of 2.0 in i
11.934 * [backup-simplify]: Simplify 2.0 into 2.0
11.934 * [taylor]: Taking taylor expansion of (/ 1 i) in i
11.934 * [taylor]: Taking taylor expansion of i in i
11.934 * [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 (/ 1 beta) in i
11.935 * [taylor]: Taking taylor expansion of beta in i
11.935 * [backup-simplify]: Simplify beta into beta
11.935 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
11.935 * [backup-simplify]: Simplify (* alpha alpha) into (pow alpha 2)
11.936 * [backup-simplify]: Simplify (* 2.0 1) into 2.0
11.936 * [backup-simplify]: Simplify (+ 2.0 0) into 2.0
11.937 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
11.937 * [backup-simplify]: Simplify (- 2.0) into (- 2.0)
11.938 * [backup-simplify]: Simplify (+ 0 (- 2.0)) into (- 2.0)
11.939 * [backup-simplify]: Simplify (* 2.0 1) into 2.0
11.939 * [backup-simplify]: Simplify (+ 2.0 0) into 2.0
11.939 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
11.940 * [backup-simplify]: Simplify (* (- 2.0) 2.0) into -4.0
11.940 * [backup-simplify]: Simplify (* (pow alpha 2) -4.0) into (* -4.0 (pow alpha 2))
11.941 * [backup-simplify]: Simplify (/ 1 (* -4.0 (pow alpha 2))) into (/ -0.25 (pow alpha 2))
11.941 * [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
11.941 * [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
11.941 * [taylor]: Taking taylor expansion of (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) in i
11.941 * [taylor]: Taking taylor expansion of 2.0 in i
11.941 * [backup-simplify]: Simplify 2.0 into 2.0
11.941 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in i
11.941 * [taylor]: Taking taylor expansion of (/ 1 alpha) in i
11.941 * [taylor]: Taking taylor expansion of alpha in i
11.941 * [backup-simplify]: Simplify alpha into alpha
11.941 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
11.941 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in i
11.941 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in i
11.941 * [taylor]: Taking taylor expansion of 2.0 in i
11.941 * [backup-simplify]: Simplify 2.0 into 2.0
11.941 * [taylor]: Taking taylor expansion of (/ 1 i) in i
11.941 * [taylor]: Taking taylor expansion of i in i
11.941 * [backup-simplify]: Simplify 0 into 0
11.941 * [backup-simplify]: Simplify 1 into 1
11.942 * [backup-simplify]: Simplify (/ 1 1) into 1
11.942 * [taylor]: Taking taylor expansion of (/ 1 beta) in i
11.942 * [taylor]: Taking taylor expansion of beta in i
11.942 * [backup-simplify]: Simplify beta into beta
11.942 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
11.942 * [taylor]: Taking taylor expansion of (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2)) in i
11.942 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in i
11.942 * [taylor]: Taking taylor expansion of (/ 1 alpha) in i
11.942 * [taylor]: Taking taylor expansion of alpha in i
11.942 * [backup-simplify]: Simplify alpha into alpha
11.942 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
11.942 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in i
11.942 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in i
11.942 * [taylor]: Taking taylor expansion of 2.0 in i
11.942 * [backup-simplify]: Simplify 2.0 into 2.0
11.942 * [taylor]: Taking taylor expansion of (/ 1 i) in i
11.942 * [taylor]: Taking taylor expansion of i in i
11.942 * [backup-simplify]: Simplify 0 into 0
11.942 * [backup-simplify]: Simplify 1 into 1
11.943 * [backup-simplify]: Simplify (/ 1 1) into 1
11.943 * [taylor]: Taking taylor expansion of (/ 1 beta) in i
11.943 * [taylor]: Taking taylor expansion of beta in i
11.943 * [backup-simplify]: Simplify beta into beta
11.943 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
11.943 * [taylor]: Taking taylor expansion of (pow beta 2) in i
11.943 * [taylor]: Taking taylor expansion of beta in i
11.943 * [backup-simplify]: Simplify beta into beta
11.944 * [backup-simplify]: Simplify (* 2.0 1) into 2.0
11.944 * [backup-simplify]: Simplify (+ 2.0 0) into 2.0
11.944 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
11.945 * [backup-simplify]: Simplify (- 2.0) into (- 2.0)
11.946 * [backup-simplify]: Simplify (+ 0 (- 2.0)) into (- 2.0)
11.946 * [backup-simplify]: Simplify (* 2.0 1) into 2.0
11.947 * [backup-simplify]: Simplify (+ 2.0 0) into 2.0
11.947 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
11.947 * [backup-simplify]: Simplify (* beta beta) into (pow beta 2)
11.947 * [backup-simplify]: Simplify (* 2.0 (pow beta 2)) into (* 2.0 (pow beta 2))
11.948 * [backup-simplify]: Simplify (* (- 2.0) (* 2.0 (pow beta 2))) into (* -4.0 (pow beta 2))
11.948 * [backup-simplify]: Simplify (/ 1 (* -4.0 (pow beta 2))) into (/ -0.25 (pow beta 2))
11.948 * [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
11.948 * [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
11.948 * [taylor]: Taking taylor expansion of 1.0 in beta
11.948 * [backup-simplify]: Simplify 1.0 into 1.0
11.948 * [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
11.948 * [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
11.948 * [taylor]: Taking taylor expansion of (pow alpha 2) in beta
11.949 * [taylor]: Taking taylor expansion of alpha in beta
11.949 * [backup-simplify]: Simplify alpha into alpha
11.949 * [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
11.949 * [taylor]: Taking taylor expansion of (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) in beta
11.949 * [taylor]: Taking taylor expansion of 2.0 in beta
11.949 * [backup-simplify]: Simplify 2.0 into 2.0
11.949 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in beta
11.949 * [taylor]: Taking taylor expansion of (/ 1 alpha) in beta
11.949 * [taylor]: Taking taylor expansion of alpha in beta
11.949 * [backup-simplify]: Simplify alpha into alpha
11.949 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
11.949 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in beta
11.949 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in beta
11.949 * [taylor]: Taking taylor expansion of 2.0 in beta
11.949 * [backup-simplify]: Simplify 2.0 into 2.0
11.949 * [taylor]: Taking taylor expansion of (/ 1 i) in beta
11.949 * [taylor]: Taking taylor expansion of i in beta
11.949 * [backup-simplify]: Simplify i into i
11.949 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
11.949 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
11.949 * [taylor]: Taking taylor expansion of beta in beta
11.949 * [backup-simplify]: Simplify 0 into 0
11.949 * [backup-simplify]: Simplify 1 into 1
11.950 * [backup-simplify]: Simplify (/ 1 1) into 1
11.950 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in beta
11.950 * [taylor]: Taking taylor expansion of (/ 1 alpha) in beta
11.950 * [taylor]: Taking taylor expansion of alpha in beta
11.950 * [backup-simplify]: Simplify alpha into alpha
11.950 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
11.950 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in beta
11.950 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in beta
11.950 * [taylor]: Taking taylor expansion of 2.0 in beta
11.950 * [backup-simplify]: Simplify 2.0 into 2.0
11.950 * [taylor]: Taking taylor expansion of (/ 1 i) in beta
11.950 * [taylor]: Taking taylor expansion of i in beta
11.950 * [backup-simplify]: Simplify i into i
11.950 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
11.950 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
11.950 * [taylor]: Taking taylor expansion of beta in beta
11.950 * [backup-simplify]: Simplify 0 into 0
11.950 * [backup-simplify]: Simplify 1 into 1
11.951 * [backup-simplify]: Simplify (/ 1 1) into 1
11.951 * [backup-simplify]: Simplify (* alpha alpha) into (pow alpha 2)
11.958 * [backup-simplify]: Simplify (+ 0 1) into 1
11.958 * [backup-simplify]: Simplify (+ 0 1) into 1
11.959 * [backup-simplify]: Simplify (- 1) into -1
11.959 * [backup-simplify]: Simplify (+ 0 -1) into -1
11.960 * [backup-simplify]: Simplify (+ 0 1) into 1
11.960 * [backup-simplify]: Simplify (+ 0 1) into 1
11.960 * [backup-simplify]: Simplify (* -1 1) into -1
11.961 * [backup-simplify]: Simplify (* (pow alpha 2) -1) into (* -1 (pow alpha 2))
11.961 * [backup-simplify]: Simplify (/ 1 (* -1 (pow alpha 2))) into (/ -1 (pow alpha 2))
11.961 * [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
11.961 * [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
11.961 * [taylor]: Taking taylor expansion of (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) in beta
11.961 * [taylor]: Taking taylor expansion of 2.0 in beta
11.961 * [backup-simplify]: Simplify 2.0 into 2.0
11.961 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in beta
11.961 * [taylor]: Taking taylor expansion of (/ 1 alpha) in beta
11.961 * [taylor]: Taking taylor expansion of alpha in beta
11.961 * [backup-simplify]: Simplify alpha into alpha
11.961 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
11.961 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in beta
11.961 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in beta
11.961 * [taylor]: Taking taylor expansion of 2.0 in beta
11.962 * [backup-simplify]: Simplify 2.0 into 2.0
11.962 * [taylor]: Taking taylor expansion of (/ 1 i) in beta
11.962 * [taylor]: Taking taylor expansion of i in beta
11.962 * [backup-simplify]: Simplify i into i
11.962 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
11.962 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
11.962 * [taylor]: Taking taylor expansion of beta in beta
11.962 * [backup-simplify]: Simplify 0 into 0
11.962 * [backup-simplify]: Simplify 1 into 1
11.962 * [backup-simplify]: Simplify (/ 1 1) into 1
11.962 * [taylor]: Taking taylor expansion of (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2)) in beta
11.962 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in beta
11.962 * [taylor]: Taking taylor expansion of (/ 1 alpha) in beta
11.962 * [taylor]: Taking taylor expansion of alpha in beta
11.962 * [backup-simplify]: Simplify alpha into alpha
11.962 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
11.962 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in beta
11.963 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in beta
11.963 * [taylor]: Taking taylor expansion of 2.0 in beta
11.963 * [backup-simplify]: Simplify 2.0 into 2.0
11.963 * [taylor]: Taking taylor expansion of (/ 1 i) in beta
11.963 * [taylor]: Taking taylor expansion of i in beta
11.963 * [backup-simplify]: Simplify i into i
11.963 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
11.963 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
11.963 * [taylor]: Taking taylor expansion of beta in beta
11.963 * [backup-simplify]: Simplify 0 into 0
11.963 * [backup-simplify]: Simplify 1 into 1
11.963 * [backup-simplify]: Simplify (/ 1 1) into 1
11.963 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
11.963 * [taylor]: Taking taylor expansion of beta in beta
11.963 * [backup-simplify]: Simplify 0 into 0
11.963 * [backup-simplify]: Simplify 1 into 1
11.964 * [backup-simplify]: Simplify (+ 0 1) into 1
11.964 * [backup-simplify]: Simplify (+ 0 1) into 1
11.965 * [backup-simplify]: Simplify (- 1) into -1
11.965 * [backup-simplify]: Simplify (+ 0 -1) into -1
11.966 * [backup-simplify]: Simplify (+ 0 1) into 1
11.966 * [backup-simplify]: Simplify (+ 0 1) into 1
11.966 * [backup-simplify]: Simplify (* 1 1) into 1
11.967 * [backup-simplify]: Simplify (* 1 1) into 1
11.967 * [backup-simplify]: Simplify (* -1 1) into -1
11.968 * [backup-simplify]: Simplify (/ 1 -1) into -1
11.968 * [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
11.968 * [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
11.968 * [taylor]: Taking taylor expansion of 1.0 in alpha
11.968 * [backup-simplify]: Simplify 1.0 into 1.0
11.968 * [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
11.968 * [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
11.968 * [taylor]: Taking taylor expansion of (pow alpha 2) in alpha
11.968 * [taylor]: Taking taylor expansion of alpha in alpha
11.968 * [backup-simplify]: Simplify 0 into 0
11.968 * [backup-simplify]: Simplify 1 into 1
11.968 * [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
11.968 * [taylor]: Taking taylor expansion of (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) in alpha
11.968 * [taylor]: Taking taylor expansion of 2.0 in alpha
11.968 * [backup-simplify]: Simplify 2.0 into 2.0
11.968 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in alpha
11.968 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
11.968 * [taylor]: Taking taylor expansion of alpha in alpha
11.968 * [backup-simplify]: Simplify 0 into 0
11.968 * [backup-simplify]: Simplify 1 into 1
11.969 * [backup-simplify]: Simplify (/ 1 1) into 1
11.969 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in alpha
11.969 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
11.969 * [taylor]: Taking taylor expansion of 2.0 in alpha
11.969 * [backup-simplify]: Simplify 2.0 into 2.0
11.969 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
11.969 * [taylor]: Taking taylor expansion of i in alpha
11.969 * [backup-simplify]: Simplify i into i
11.969 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
11.969 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
11.969 * [taylor]: Taking taylor expansion of beta in alpha
11.969 * [backup-simplify]: Simplify beta into beta
11.969 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
11.969 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in alpha
11.969 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
11.969 * [taylor]: Taking taylor expansion of alpha in alpha
11.969 * [backup-simplify]: Simplify 0 into 0
11.969 * [backup-simplify]: Simplify 1 into 1
11.970 * [backup-simplify]: Simplify (/ 1 1) into 1
11.970 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in alpha
11.970 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
11.970 * [taylor]: Taking taylor expansion of 2.0 in alpha
11.970 * [backup-simplify]: Simplify 2.0 into 2.0
11.970 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
11.970 * [taylor]: Taking taylor expansion of i in alpha
11.970 * [backup-simplify]: Simplify i into i
11.970 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
11.970 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
11.970 * [taylor]: Taking taylor expansion of beta in alpha
11.970 * [backup-simplify]: Simplify beta into beta
11.970 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
11.971 * [backup-simplify]: Simplify (* 1 1) into 1
11.971 * [backup-simplify]: Simplify (+ 1 0) into 1
11.971 * [backup-simplify]: Simplify (- 1) into -1
11.972 * [backup-simplify]: Simplify (+ 0 -1) into -1
11.972 * [backup-simplify]: Simplify (+ 1 0) into 1
11.973 * [backup-simplify]: Simplify (* -1 1) into -1
11.973 * [backup-simplify]: Simplify (* 1 -1) into -1
11.974 * [backup-simplify]: Simplify (/ 1 -1) into -1
11.974 * [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
11.974 * [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
11.974 * [taylor]: Taking taylor expansion of (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) in alpha
11.974 * [taylor]: Taking taylor expansion of 2.0 in alpha
11.974 * [backup-simplify]: Simplify 2.0 into 2.0
11.974 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in alpha
11.974 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
11.974 * [taylor]: Taking taylor expansion of alpha in alpha
11.974 * [backup-simplify]: Simplify 0 into 0
11.974 * [backup-simplify]: Simplify 1 into 1
11.974 * [backup-simplify]: Simplify (/ 1 1) into 1
11.974 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in alpha
11.974 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
11.974 * [taylor]: Taking taylor expansion of 2.0 in alpha
11.975 * [backup-simplify]: Simplify 2.0 into 2.0
11.975 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
11.975 * [taylor]: Taking taylor expansion of i in alpha
11.975 * [backup-simplify]: Simplify i into i
11.975 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
11.975 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
11.975 * [taylor]: Taking taylor expansion of beta in alpha
11.975 * [backup-simplify]: Simplify beta into beta
11.975 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
11.975 * [taylor]: Taking taylor expansion of (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2)) in alpha
11.975 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in alpha
11.975 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
11.975 * [taylor]: Taking taylor expansion of alpha in alpha
11.975 * [backup-simplify]: Simplify 0 into 0
11.975 * [backup-simplify]: Simplify 1 into 1
11.976 * [backup-simplify]: Simplify (/ 1 1) into 1
11.976 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in alpha
11.976 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
11.976 * [taylor]: Taking taylor expansion of 2.0 in alpha
11.976 * [backup-simplify]: Simplify 2.0 into 2.0
11.976 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
11.976 * [taylor]: Taking taylor expansion of i in alpha
11.976 * [backup-simplify]: Simplify i into i
11.976 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
11.976 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
11.976 * [taylor]: Taking taylor expansion of beta in alpha
11.976 * [backup-simplify]: Simplify beta into beta
11.976 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
11.976 * [taylor]: Taking taylor expansion of (pow beta 2) in alpha
11.976 * [taylor]: Taking taylor expansion of beta in alpha
11.976 * [backup-simplify]: Simplify beta into beta
11.977 * [backup-simplify]: Simplify (+ 1 0) into 1
11.977 * [backup-simplify]: Simplify (- 1) into -1
11.978 * [backup-simplify]: Simplify (+ 0 -1) into -1
11.978 * [backup-simplify]: Simplify (+ 1 0) into 1
11.978 * [backup-simplify]: Simplify (* beta beta) into (pow beta 2)
11.978 * [backup-simplify]: Simplify (* 1 (pow beta 2)) into (pow beta 2)
11.979 * [backup-simplify]: Simplify (* -1 (pow beta 2)) into (* -1 (pow beta 2))
11.979 * [backup-simplify]: Simplify (/ 1 (* -1 (pow beta 2))) into (/ -1 (pow beta 2))
11.979 * [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
11.979 * [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
11.979 * [taylor]: Taking taylor expansion of 1.0 in alpha
11.979 * [backup-simplify]: Simplify 1.0 into 1.0
11.979 * [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
11.979 * [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
11.979 * [taylor]: Taking taylor expansion of (pow alpha 2) in alpha
11.979 * [taylor]: Taking taylor expansion of alpha in alpha
11.979 * [backup-simplify]: Simplify 0 into 0
11.979 * [backup-simplify]: Simplify 1 into 1
11.979 * [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
11.979 * [taylor]: Taking taylor expansion of (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) in alpha
11.979 * [taylor]: Taking taylor expansion of 2.0 in alpha
11.979 * [backup-simplify]: Simplify 2.0 into 2.0
11.979 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in alpha
11.979 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
11.979 * [taylor]: Taking taylor expansion of alpha in alpha
11.979 * [backup-simplify]: Simplify 0 into 0
11.980 * [backup-simplify]: Simplify 1 into 1
11.980 * [backup-simplify]: Simplify (/ 1 1) into 1
11.980 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in alpha
11.980 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
11.980 * [taylor]: Taking taylor expansion of 2.0 in alpha
11.980 * [backup-simplify]: Simplify 2.0 into 2.0
11.980 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
11.980 * [taylor]: Taking taylor expansion of i in alpha
11.980 * [backup-simplify]: Simplify i into i
11.980 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
11.980 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
11.981 * [taylor]: Taking taylor expansion of beta in alpha
11.981 * [backup-simplify]: Simplify beta into beta
11.981 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
11.981 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in alpha
11.981 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
11.981 * [taylor]: Taking taylor expansion of alpha in alpha
11.981 * [backup-simplify]: Simplify 0 into 0
11.981 * [backup-simplify]: Simplify 1 into 1
11.981 * [backup-simplify]: Simplify (/ 1 1) into 1
11.981 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in alpha
11.981 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
11.981 * [taylor]: Taking taylor expansion of 2.0 in alpha
11.981 * [backup-simplify]: Simplify 2.0 into 2.0
11.981 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
11.982 * [taylor]: Taking taylor expansion of i in alpha
11.982 * [backup-simplify]: Simplify i into i
11.982 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
11.982 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
11.982 * [taylor]: Taking taylor expansion of beta in alpha
11.982 * [backup-simplify]: Simplify beta into beta
11.982 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
11.982 * [backup-simplify]: Simplify (* 1 1) into 1
11.983 * [backup-simplify]: Simplify (+ 1 0) into 1
11.983 * [backup-simplify]: Simplify (- 1) into -1
11.984 * [backup-simplify]: Simplify (+ 0 -1) into -1
11.984 * [backup-simplify]: Simplify (+ 1 0) into 1
11.984 * [backup-simplify]: Simplify (* -1 1) into -1
11.985 * [backup-simplify]: Simplify (* 1 -1) into -1
11.985 * [backup-simplify]: Simplify (/ 1 -1) into -1
11.985 * [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
11.986 * [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
11.986 * [taylor]: Taking taylor expansion of (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) in alpha
11.986 * [taylor]: Taking taylor expansion of 2.0 in alpha
11.986 * [backup-simplify]: Simplify 2.0 into 2.0
11.986 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in alpha
11.986 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
11.986 * [taylor]: Taking taylor expansion of alpha in alpha
11.986 * [backup-simplify]: Simplify 0 into 0
11.986 * [backup-simplify]: Simplify 1 into 1
11.986 * [backup-simplify]: Simplify (/ 1 1) into 1
11.986 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in alpha
11.986 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
11.986 * [taylor]: Taking taylor expansion of 2.0 in alpha
11.986 * [backup-simplify]: Simplify 2.0 into 2.0
11.986 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
11.986 * [taylor]: Taking taylor expansion of i in alpha
11.987 * [backup-simplify]: Simplify i into i
11.987 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
11.987 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
11.987 * [taylor]: Taking taylor expansion of beta in alpha
11.987 * [backup-simplify]: Simplify beta into beta
11.987 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
11.987 * [taylor]: Taking taylor expansion of (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2)) in alpha
11.987 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in alpha
11.987 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
11.987 * [taylor]: Taking taylor expansion of alpha in alpha
11.987 * [backup-simplify]: Simplify 0 into 0
11.987 * [backup-simplify]: Simplify 1 into 1
11.988 * [backup-simplify]: Simplify (/ 1 1) into 1
11.988 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in alpha
11.988 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
11.988 * [taylor]: Taking taylor expansion of 2.0 in alpha
11.988 * [backup-simplify]: Simplify 2.0 into 2.0
11.988 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
11.988 * [taylor]: Taking taylor expansion of i in alpha
11.988 * [backup-simplify]: Simplify i into i
11.988 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
11.988 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
11.988 * [taylor]: Taking taylor expansion of beta in alpha
11.988 * [backup-simplify]: Simplify beta into beta
11.988 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
11.988 * [taylor]: Taking taylor expansion of (pow beta 2) in alpha
11.988 * [taylor]: Taking taylor expansion of beta in alpha
11.989 * [backup-simplify]: Simplify beta into beta
11.989 * [backup-simplify]: Simplify (+ 1 0) into 1
11.989 * [backup-simplify]: Simplify (- 1) into -1
11.990 * [backup-simplify]: Simplify (+ 0 -1) into -1
11.991 * [backup-simplify]: Simplify (+ 1 0) into 1
11.991 * [backup-simplify]: Simplify (* beta beta) into (pow beta 2)
11.991 * [backup-simplify]: Simplify (* 1 (pow beta 2)) into (pow beta 2)
11.991 * [backup-simplify]: Simplify (* -1 (pow beta 2)) into (* -1 (pow beta 2))
11.991 * [backup-simplify]: Simplify (/ 1 (* -1 (pow beta 2))) into (/ -1 (pow beta 2))
11.992 * [backup-simplify]: Simplify (+ 1.0 -1) into 0
11.992 * [backup-simplify]: Simplify (+ 0 0) into 0
11.992 * [taylor]: Taking taylor expansion of 0 in beta
11.992 * [backup-simplify]: Simplify 0 into 0
11.992 * [taylor]: Taking taylor expansion of 0 in i
11.992 * [backup-simplify]: Simplify 0 into 0
11.992 * [backup-simplify]: Simplify 0 into 0
11.993 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.993 * [backup-simplify]: Simplify (* 2.0 (/ 1 i)) into (/ 2.0 i)
11.994 * [backup-simplify]: Simplify (+ (/ 2.0 i) (/ 1 beta)) into (+ (* 2.0 (/ 1 i)) (/ 1 beta))
11.994 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 (/ 1 i)) (/ 1 beta))) into (+ (* 2.0 (/ 1 i)) (/ 1 beta))
11.995 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.995 * [backup-simplify]: Simplify (* 2.0 (/ 1 i)) into (/ 2.0 i)
11.995 * [backup-simplify]: Simplify (+ (/ 2.0 i) (/ 1 beta)) into (+ (* 2.0 (/ 1 i)) (/ 1 beta))
11.995 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 (/ 1 i)) (/ 1 beta))) into (+ (* 2.0 (/ 1 i)) (/ 1 beta))
11.995 * [backup-simplify]: Simplify (- (+ (* 2.0 (/ 1 i)) (/ 1 beta))) into (- (+ (* 2.0 (/ 1 i)) (/ 1 beta)))
11.996 * [backup-simplify]: Simplify (+ 2.0 (- (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) into (- 2.0 (+ (* 2.0 (/ 1 i)) (/ 1 beta)))
11.996 * [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))))
11.997 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.998 * [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))))
11.999 * [backup-simplify]: Simplify (- (+ (* -1 (/ (- 2.0 (+ (* 4.0 (/ 1 i)) (* 2 (/ 1 beta)))) -1)))) into (- (+ (* 4.0 (/ 1 i)) (* 2 (/ 1 beta))) 2.0)
11.999 * [backup-simplify]: Simplify (+ 0 (- (+ (* 4.0 (/ 1 i)) (* 2 (/ 1 beta))) 2.0)) into (- (+ (* 4.0 (/ 1 i)) (* 2 (/ 1 beta))) 2.0)
11.999 * [backup-simplify]: Simplify (+ (- (+ (* 4.0 (/ 1 i)) (* 2 (/ 1 beta))) 2.0) 0) into (- (+ (* 4.0 (/ 1 i)) (* 2 (/ 1 beta))) 2.0)
11.999 * [taylor]: Taking taylor expansion of (- (+ (* 4.0 (/ 1 i)) (* 2 (/ 1 beta))) 2.0) in beta
11.999 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 i)) (* 2 (/ 1 beta))) in beta
11.999 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 i)) in beta
11.999 * [taylor]: Taking taylor expansion of 4.0 in beta
11.999 * [backup-simplify]: Simplify 4.0 into 4.0
12.000 * [taylor]: Taking taylor expansion of (/ 1 i) in beta
12.000 * [taylor]: Taking taylor expansion of i in beta
12.000 * [backup-simplify]: Simplify i into i
12.000 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
12.000 * [taylor]: Taking taylor expansion of (* 2 (/ 1 beta)) in beta
12.000 * [taylor]: Taking taylor expansion of 2 in beta
12.000 * [backup-simplify]: Simplify 2 into 2
12.000 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
12.000 * [taylor]: Taking taylor expansion of beta in beta
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 2.0 in beta
12.000 * [backup-simplify]: Simplify 2.0 into 2.0
12.001 * [backup-simplify]: Simplify (* 4.0 (/ 1 i)) into (/ 4.0 i)
12.001 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.002 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0
12.002 * [backup-simplify]: Simplify (+ (/ 4.0 i) 0) into (* 4.0 (/ 1 i))
12.003 * [backup-simplify]: Simplify (- 2.0) into (- 2.0)
12.003 * [backup-simplify]: Simplify (+ (* 4.0 (/ 1 i)) (- 2.0)) into (- (* 4.0 (/ 1 i)) 2.0)
12.003 * [taylor]: Taking taylor expansion of (- (* 4.0 (/ 1 i)) 2.0) in i
12.003 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 i)) in i
12.003 * [taylor]: Taking taylor expansion of 4.0 in i
12.003 * [backup-simplify]: Simplify 4.0 into 4.0
12.003 * [taylor]: Taking taylor expansion of (/ 1 i) in i
12.003 * [taylor]: Taking taylor expansion of i in i
12.003 * [backup-simplify]: Simplify 0 into 0
12.003 * [backup-simplify]: Simplify 1 into 1
12.004 * [backup-simplify]: Simplify (/ 1 1) into 1
12.004 * [taylor]: Taking taylor expansion of 2.0 in i
12.004 * [backup-simplify]: Simplify 2.0 into 2.0
12.005 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.006 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 1)) into 0
12.006 * [backup-simplify]: Simplify (- 2.0) into (- 2.0)
12.007 * [backup-simplify]: Simplify (+ 0 (- 2.0)) into (- 2.0)
12.007 * [backup-simplify]: Simplify (- 2.0) into (- 2.0)
12.008 * [taylor]: Taking taylor expansion of 0 in i
12.008 * [backup-simplify]: Simplify 0 into 0
12.008 * [backup-simplify]: Simplify 0 into 0
12.008 * [backup-simplify]: Simplify 0 into 0
12.010 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.010 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
12.011 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 (/ 1 i))) into 0
12.011 * [backup-simplify]: Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
12.012 * [backup-simplify]: Simplify (+ 0 0) into 0
12.012 * [backup-simplify]: Simplify (+ 0 0) into 0
12.013 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.013 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
12.014 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 (/ 1 i))) into 0
12.014 * [backup-simplify]: Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
12.014 * [backup-simplify]: Simplify (+ 0 0) into 0
12.015 * [backup-simplify]: Simplify (+ 0 0) into 0
12.015 * [backup-simplify]: Simplify (- 0) into 0
12.016 * [backup-simplify]: Simplify (+ 0 0) into 0
12.018 * [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)))))
12.018 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
12.020 * [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)))))
12.022 * [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))))
12.024 * [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))))
12.024 * [backup-simplify]: Simplify (- (/ -1 (pow beta 2))) into (/ 1 (pow beta 2))
12.025 * [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))))
12.025 * [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
12.025 * [taylor]: Taking taylor expansion of (+ (* 12.0 (/ 1 i)) (* 6.0 (/ 1 beta))) in beta
12.025 * [taylor]: Taking taylor expansion of (* 12.0 (/ 1 i)) in beta
12.025 * [taylor]: Taking taylor expansion of 12.0 in beta
12.025 * [backup-simplify]: Simplify 12.0 into 12.0
12.025 * [taylor]: Taking taylor expansion of (/ 1 i) in beta
12.025 * [taylor]: Taking taylor expansion of i in beta
12.025 * [backup-simplify]: Simplify i into i
12.026 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
12.026 * [taylor]: Taking taylor expansion of (* 6.0 (/ 1 beta)) in beta
12.026 * [taylor]: Taking taylor expansion of 6.0 in beta
12.026 * [backup-simplify]: Simplify 6.0 into 6.0
12.026 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
12.026 * [taylor]: Taking taylor expansion of beta in beta
12.026 * [backup-simplify]: Simplify 0 into 0
12.026 * [backup-simplify]: Simplify 1 into 1
12.026 * [backup-simplify]: Simplify (/ 1 1) into 1
12.026 * [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
12.026 * [taylor]: Taking taylor expansion of (* 12.0 (/ 1 (pow i 2))) in beta
12.026 * [taylor]: Taking taylor expansion of 12.0 in beta
12.026 * [backup-simplify]: Simplify 12.0 into 12.0
12.026 * [taylor]: Taking taylor expansion of (/ 1 (pow i 2)) in beta
12.026 * [taylor]: Taking taylor expansion of (pow i 2) in beta
12.026 * [taylor]: Taking taylor expansion of i in beta
12.026 * [backup-simplify]: Simplify i into i
12.027 * [backup-simplify]: Simplify (* i i) into (pow i 2)
12.027 * [backup-simplify]: Simplify (/ 1 (pow i 2)) into (/ 1 (pow i 2))
12.027 * [taylor]: Taking taylor expansion of (+ (* 12.0 (/ 1 (* i beta))) (+ (* 2 (/ 1 (pow beta 2))) 4.0)) in beta
12.027 * [taylor]: Taking taylor expansion of (* 12.0 (/ 1 (* i beta))) in beta
12.027 * [taylor]: Taking taylor expansion of 12.0 in beta
12.027 * [backup-simplify]: Simplify 12.0 into 12.0
12.027 * [taylor]: Taking taylor expansion of (/ 1 (* i beta)) in beta
12.027 * [taylor]: Taking taylor expansion of (* i beta) in beta
12.027 * [taylor]: Taking taylor expansion of i in beta
12.027 * [backup-simplify]: Simplify i into i
12.027 * [taylor]: Taking taylor expansion of beta in beta
12.027 * [backup-simplify]: Simplify 0 into 0
12.027 * [backup-simplify]: Simplify 1 into 1
12.027 * [backup-simplify]: Simplify (* i 0) into 0
12.027 * [backup-simplify]: Simplify (+ (* i 1) (* 0 0)) into i
12.027 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
12.028 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (pow beta 2))) 4.0) in beta
12.028 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow beta 2))) in beta
12.028 * [taylor]: Taking taylor expansion of 2 in beta
12.028 * [backup-simplify]: Simplify 2 into 2
12.028 * [taylor]: Taking taylor expansion of (/ 1 (pow beta 2)) in beta
12.028 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
12.028 * [taylor]: Taking taylor expansion of beta in beta
12.028 * [backup-simplify]: Simplify 0 into 0
12.028 * [backup-simplify]: Simplify 1 into 1
12.028 * [backup-simplify]: Simplify (* 1 1) into 1
12.028 * [backup-simplify]: Simplify (/ 1 1) into 1
12.028 * [taylor]: Taking taylor expansion of 4.0 in beta
12.029 * [backup-simplify]: Simplify 4.0 into 4.0
12.029 * [backup-simplify]: Simplify (* 12.0 (/ 1 i)) into (/ 12.0 i)
12.029 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.030 * [backup-simplify]: Simplify (+ (* 6.0 0) (* 0 1)) into 0
12.030 * [backup-simplify]: Simplify (+ (/ 12.0 i) 0) into (* 12.0 (/ 1 i))
12.030 * [backup-simplify]: Simplify (* 12.0 (/ 1 (pow i 2))) into (/ 12.0 (pow i 2))
12.031 * [backup-simplify]: Simplify (+ (* i 0) (+ (* 0 1) (* 0 0))) into 0
12.031 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
12.032 * [backup-simplify]: Simplify (+ (* 12.0 0) (* 0 (/ 1 i))) into 0
12.033 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
12.033 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.034 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.035 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.036 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0
12.036 * [backup-simplify]: Simplify (+ 0 4.0) into 4.0
12.037 * [backup-simplify]: Simplify (+ 0 4.0) into 4.0
12.037 * [backup-simplify]: Simplify (+ (/ 12.0 (pow i 2)) 4.0) into (+ (* 12.0 (/ 1 (pow i 2))) 4.0)
12.037 * [backup-simplify]: Simplify (- (+ (* 12.0 (/ 1 (pow i 2))) 4.0)) into (- (+ (* 12.0 (/ 1 (pow i 2))) 4.0))
12.038 * [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))
12.038 * [taylor]: Taking taylor expansion of (- (* 12.0 (/ 1 i)) (+ (* 12.0 (/ 1 (pow i 2))) 4.0)) in i
12.038 * [taylor]: Taking taylor expansion of (* 12.0 (/ 1 i)) in i
12.038 * [taylor]: Taking taylor expansion of 12.0 in i
12.038 * [backup-simplify]: Simplify 12.0 into 12.0
12.038 * [taylor]: Taking taylor expansion of (/ 1 i) in i
12.038 * [taylor]: Taking taylor expansion of i in i
12.038 * [backup-simplify]: Simplify 0 into 0
12.038 * [backup-simplify]: Simplify 1 into 1
12.038 * [backup-simplify]: Simplify (/ 1 1) into 1
12.038 * [taylor]: Taking taylor expansion of (+ (* 12.0 (/ 1 (pow i 2))) 4.0) in i
12.038 * [taylor]: Taking taylor expansion of (* 12.0 (/ 1 (pow i 2))) in i
12.038 * [taylor]: Taking taylor expansion of 12.0 in i
12.038 * [backup-simplify]: Simplify 12.0 into 12.0
12.038 * [taylor]: Taking taylor expansion of (/ 1 (pow i 2)) in i
12.038 * [taylor]: Taking taylor expansion of (pow i 2) in i
12.038 * [taylor]: Taking taylor expansion of i in i
12.038 * [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 * [backup-simplify]: Simplify (/ 1 1) into 1
12.039 * [taylor]: Taking taylor expansion of 4.0 in i
12.039 * [backup-simplify]: Simplify 4.0 into 4.0
12.040 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.041 * [backup-simplify]: Simplify (+ (* 12.0 0) (* 0 1)) into 0
12.042 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
12.042 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.043 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.044 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.045 * [backup-simplify]: Simplify (+ (* 12.0 0) (+ (* 0 0) (* 0 1))) into 0
12.045 * [backup-simplify]: Simplify (+ 0 4.0) into 4.0
12.046 * [backup-simplify]: Simplify (- 4.0) into (- 4.0)
12.047 * [backup-simplify]: Simplify (+ 0 (- 4.0)) into (- 4.0)
12.047 * [backup-simplify]: Simplify (- 4.0) into (- 4.0)
12.047 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
12.048 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 i))) into 0
12.049 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.050 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0
12.050 * [backup-simplify]: Simplify (+ 0 0) into 0
12.051 * [backup-simplify]: Simplify (- 0) into 0
12.051 * [backup-simplify]: Simplify (+ 0 0) into 0
12.051 * [taylor]: Taking taylor expansion of 0 in i
12.051 * [backup-simplify]: Simplify 0 into 0
12.051 * [backup-simplify]: Simplify 0 into 0
12.051 * [taylor]: Taking taylor expansion of 0 in i
12.051 * [backup-simplify]: Simplify 0 into 0
12.051 * [backup-simplify]: Simplify 0 into 0
12.052 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.053 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 1))) into 0
12.054 * [backup-simplify]: Simplify (- 0) into 0
12.054 * [backup-simplify]: Simplify (+ 0 0) into 0
12.054 * [backup-simplify]: Simplify 0 into 0
12.054 * [backup-simplify]: Simplify 0 into 0
12.054 * [backup-simplify]: Simplify 0 into 0
12.055 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.055 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)) (* 0 (/ 0 i)))) into 0
12.056 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 (/ 1 i)))) into 0
12.056 * [backup-simplify]: Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
12.057 * [backup-simplify]: Simplify (+ 0 0) into 0
12.057 * [backup-simplify]: Simplify (+ 0 0) into 0
12.058 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.058 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)) (* 0 (/ 0 i)))) into 0
12.059 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 (/ 1 i)))) into 0
12.059 * [backup-simplify]: Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
12.059 * [backup-simplify]: Simplify (+ 0 0) into 0
12.060 * [backup-simplify]: Simplify (+ 0 0) into 0
12.060 * [backup-simplify]: Simplify (- 0) into 0
12.060 * [backup-simplify]: Simplify (+ 0 0) into 0
12.062 * [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
12.063 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
12.065 * [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
12.070 * [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))))
12.073 * [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))))
12.074 * [backup-simplify]: Simplify (+ (* beta 0) (* 0 beta)) into 0
12.075 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.075 * [backup-simplify]: Simplify (* 2.0 (/ 1 i)) into (/ 2.0 i)
12.075 * [backup-simplify]: Simplify (+ (/ 2.0 i) (/ 1 beta)) into (+ (* 2.0 (/ 1 i)) (/ 1 beta))
12.075 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 (/ 1 i)) (/ 1 beta))) into (+ (* 2.0 (/ 1 i)) (/ 1 beta))
12.076 * [backup-simplify]: Simplify (+ (* 1 0) (* (+ (* 2.0 (/ 1 i)) (/ 1 beta)) (pow beta 2))) into (+ (* 2.0 (/ (pow beta 2) i)) beta)
12.077 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.077 * [backup-simplify]: Simplify (* 2.0 (/ 1 i)) into (/ 2.0 i)
12.077 * [backup-simplify]: Simplify (+ (/ 2.0 i) (/ 1 beta)) into (+ (* 2.0 (/ 1 i)) (/ 1 beta))
12.077 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 (/ 1 i)) (/ 1 beta))) into (+ (* 2.0 (/ 1 i)) (/ 1 beta))
12.077 * [backup-simplify]: Simplify (- (+ (* 2.0 (/ 1 i)) (/ 1 beta))) into (- (+ (* 2.0 (/ 1 i)) (/ 1 beta)))
12.078 * [backup-simplify]: Simplify (+ 2.0 (- (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) into (- 2.0 (+ (* 2.0 (/ 1 i)) (/ 1 beta)))
12.079 * [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)))
12.080 * [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))))
12.081 * [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)))))
12.085 * [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)))))))
12.085 * [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
12.085 * [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
12.085 * [taylor]: Taking taylor expansion of (* 20.0 (/ 1 (* i (pow beta 2)))) in beta
12.085 * [taylor]: Taking taylor expansion of 20.0 in beta
12.085 * [backup-simplify]: Simplify 20.0 into 20.0
12.085 * [taylor]: Taking taylor expansion of (/ 1 (* i (pow beta 2))) in beta
12.085 * [taylor]: Taking taylor expansion of (* i (pow beta 2)) in beta
12.085 * [taylor]: Taking taylor expansion of i in beta
12.085 * [backup-simplify]: Simplify i into i
12.085 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
12.085 * [taylor]: Taking taylor expansion of beta in beta
12.085 * [backup-simplify]: Simplify 0 into 0
12.085 * [backup-simplify]: Simplify 1 into 1
12.086 * [backup-simplify]: Simplify (* 1 1) into 1
12.086 * [backup-simplify]: Simplify (* i 1) into i
12.086 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
12.086 * [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
12.086 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow beta 3))) in beta
12.086 * [taylor]: Taking taylor expansion of 2 in beta
12.086 * [backup-simplify]: Simplify 2 into 2
12.086 * [taylor]: Taking taylor expansion of (/ 1 (pow beta 3)) in beta
12.086 * [taylor]: Taking taylor expansion of (pow beta 3) in beta
12.086 * [taylor]: Taking taylor expansion of beta in beta
12.086 * [backup-simplify]: Simplify 0 into 0
12.086 * [backup-simplify]: Simplify 1 into 1
12.087 * [backup-simplify]: Simplify (* 1 1) into 1
12.087 * [backup-simplify]: Simplify (* 1 1) into 1
12.087 * [backup-simplify]: Simplify (/ 1 1) into 1
12.087 * [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
12.087 * [taylor]: Taking taylor expansion of (* 48.0 (/ 1 (* (pow i 2) beta))) in beta
12.088 * [taylor]: Taking taylor expansion of 48.0 in beta
12.088 * [backup-simplify]: Simplify 48.0 into 48.0
12.088 * [taylor]: Taking taylor expansion of (/ 1 (* (pow i 2) beta)) in beta
12.088 * [taylor]: Taking taylor expansion of (* (pow i 2) beta) in beta
12.088 * [taylor]: Taking taylor expansion of (pow i 2) in beta
12.088 * [taylor]: Taking taylor expansion of i in beta
12.088 * [backup-simplify]: Simplify i into i
12.088 * [taylor]: Taking taylor expansion of beta in beta
12.088 * [backup-simplify]: Simplify 0 into 0
12.088 * [backup-simplify]: Simplify 1 into 1
12.088 * [backup-simplify]: Simplify (* i i) into (pow i 2)
12.088 * [backup-simplify]: Simplify (* (pow i 2) 0) into 0
12.088 * [backup-simplify]: Simplify (+ (* i 0) (* 0 i)) into 0
12.089 * [backup-simplify]: Simplify (+ (* (pow i 2) 1) (* 0 0)) into (pow i 2)
12.089 * [backup-simplify]: Simplify (/ 1 (pow i 2)) into (/ 1 (pow i 2))
12.089 * [taylor]: Taking taylor expansion of (+ (* 32.0 (/ 1 i)) (+ (* 16.0 (/ 1 beta)) (* 32.0 (/ 1 (pow i 3))))) in beta
12.089 * [taylor]: Taking taylor expansion of (* 32.0 (/ 1 i)) in beta
12.089 * [taylor]: Taking taylor expansion of 32.0 in beta
12.089 * [backup-simplify]: Simplify 32.0 into 32.0
12.089 * [taylor]: Taking taylor expansion of (/ 1 i) in beta
12.089 * [taylor]: Taking taylor expansion of i in beta
12.089 * [backup-simplify]: Simplify i into i
12.089 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
12.089 * [taylor]: Taking taylor expansion of (+ (* 16.0 (/ 1 beta)) (* 32.0 (/ 1 (pow i 3)))) in beta
12.089 * [taylor]: Taking taylor expansion of (* 16.0 (/ 1 beta)) in beta
12.089 * [taylor]: Taking taylor expansion of 16.0 in beta
12.089 * [backup-simplify]: Simplify 16.0 into 16.0
12.089 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
12.089 * [taylor]: Taking taylor expansion of beta in beta
12.089 * [backup-simplify]: Simplify 0 into 0
12.089 * [backup-simplify]: Simplify 1 into 1
12.090 * [backup-simplify]: Simplify (/ 1 1) into 1
12.090 * [taylor]: Taking taylor expansion of (* 32.0 (/ 1 (pow i 3))) in beta
12.090 * [taylor]: Taking taylor expansion of 32.0 in beta
12.090 * [backup-simplify]: Simplify 32.0 into 32.0
12.090 * [taylor]: Taking taylor expansion of (/ 1 (pow i 3)) in beta
12.090 * [taylor]: Taking taylor expansion of (pow i 3) in beta
12.090 * [taylor]: Taking taylor expansion of i in beta
12.090 * [backup-simplify]: Simplify i into i
12.090 * [backup-simplify]: Simplify (* i i) into (pow i 2)
12.090 * [backup-simplify]: Simplify (* i (pow i 2)) into (pow i 3)
12.090 * [backup-simplify]: Simplify (/ 1 (pow i 3)) into (/ 1 (pow i 3))
12.091 * [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
12.091 * [taylor]: Taking taylor expansion of (* 10.0 (/ 1 (pow beta 2))) in beta
12.091 * [taylor]: Taking taylor expansion of 10.0 in beta
12.091 * [backup-simplify]: Simplify 10.0 into 10.0
12.091 * [taylor]: Taking taylor expansion of (/ 1 (pow beta 2)) in beta
12.091 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
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 (* 1 1) into 1
12.092 * [backup-simplify]: Simplify (/ 1 1) into 1
12.092 * [taylor]: Taking taylor expansion of (+ 8.0 (+ (* 48.0 (/ 1 (pow i 2))) (* 48.0 (/ 1 (* i beta))))) in beta
12.092 * [taylor]: Taking taylor expansion of 8.0 in beta
12.092 * [backup-simplify]: Simplify 8.0 into 8.0
12.092 * [taylor]: Taking taylor expansion of (+ (* 48.0 (/ 1 (pow i 2))) (* 48.0 (/ 1 (* i beta)))) in beta
12.092 * [taylor]: Taking taylor expansion of (* 48.0 (/ 1 (pow i 2))) in beta
12.092 * [taylor]: Taking taylor expansion of 48.0 in beta
12.092 * [backup-simplify]: Simplify 48.0 into 48.0
12.092 * [taylor]: Taking taylor expansion of (/ 1 (pow i 2)) in beta
12.092 * [taylor]: Taking taylor expansion of (pow i 2) 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 (/ 1 (pow i 2)) into (/ 1 (pow i 2))
12.092 * [taylor]: Taking taylor expansion of (* 48.0 (/ 1 (* i beta))) in beta
12.092 * [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 (* i beta)) in beta
12.093 * [taylor]: Taking taylor expansion of (* i beta) in beta
12.093 * [taylor]: Taking taylor expansion of i in beta
12.093 * [backup-simplify]: Simplify i into i
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 (* i 0) into 0
12.093 * [backup-simplify]: Simplify (+ (* i 1) (* 0 0)) into i
12.093 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
12.094 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
12.095 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.096 * [backup-simplify]: Simplify (+ (* i 0) (+ (* 0 0) (* 0 1))) into 0
12.096 * [backup-simplify]: Simplify (+ (* i 0) (* 0 1)) into 0
12.096 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
12.096 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)) (* 0 (/ 0 i)))) into 0
12.097 * [backup-simplify]: Simplify (+ (* 20.0 0) (+ (* 0 0) (* 0 (/ 1 i)))) into 0
12.098 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
12.100 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
12.100 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.101 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
12.102 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.103 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.103 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
12.104 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.105 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.106 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
12.107 * [backup-simplify]: Simplify (+ (* i 0) (+ (* 0 0) (* 0 i))) into 0
12.108 * [backup-simplify]: Simplify (+ (* (pow i 2) 0) (+ (* 0 1) (* 0 0))) into 0
12.108 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow i 2)) (/ 0 (pow i 2))))) into 0
12.109 * [backup-simplify]: Simplify (+ (* 48.0 0) (* 0 (/ 1 (pow i 2)))) into 0
12.109 * [backup-simplify]: Simplify (* 32.0 (/ 1 i)) into (/ 32.0 i)
12.110 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.110 * [backup-simplify]: Simplify (+ (* 16.0 0) (* 0 1)) into 0
12.111 * [backup-simplify]: Simplify (* 32.0 (/ 1 (pow i 3))) into (/ 32.0 (pow i 3))
12.111 * [backup-simplify]: Simplify (+ 0 (/ 32.0 (pow i 3))) into (* 32.0 (/ 1 (pow i 3)))
12.111 * [backup-simplify]: Simplify (+ (/ 32.0 i) (* 32.0 (/ 1 (pow i 3)))) into (+ (* 32.0 (/ 1 i)) (* 32.0 (/ 1 (pow i 3))))
12.111 * [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)))
12.112 * [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)))
12.112 * [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)))
12.113 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
12.114 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.115 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.115 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.116 * [backup-simplify]: Simplify (+ (* 10.0 0) (+ (* 0 0) (* 0 1))) into 0
12.117 * [backup-simplify]: Simplify (* 48.0 (/ 1 (pow i 2))) into (/ 48.0 (pow i 2))
12.117 * [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)))
12.118 * [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))
12.120 * [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)))))
12.120 * [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
12.120 * [taylor]: Taking taylor expansion of (+ (* 32.0 (/ 1 i)) (* 32.0 (/ 1 (pow i 3)))) in i
12.120 * [taylor]: Taking taylor expansion of (* 32.0 (/ 1 i)) 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 i) 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
12.121 * [taylor]: Taking taylor expansion of (* 32.0 (/ 1 (pow i 3))) in i
12.121 * [taylor]: Taking taylor expansion of 32.0 in i
12.121 * [backup-simplify]: Simplify 32.0 into 32.0
12.121 * [taylor]: Taking taylor expansion of (/ 1 (pow i 3)) in i
12.121 * [taylor]: Taking taylor expansion of (pow i 3) 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
12.122 * [backup-simplify]: Simplify (* 1 1) into 1
12.128 * [backup-simplify]: Simplify (/ 1 1) into 1
12.128 * [taylor]: Taking taylor expansion of (+ 8.0 (* 48.0 (/ 1 (pow i 2)))) in i
12.128 * [taylor]: Taking taylor expansion of 8.0 in i
12.128 * [backup-simplify]: Simplify 8.0 into 8.0
12.128 * [taylor]: Taking taylor expansion of (* 48.0 (/ 1 (pow i 2))) in i
12.129 * [taylor]: Taking taylor expansion of 48.0 in i
12.129 * [backup-simplify]: Simplify 48.0 into 48.0
12.129 * [taylor]: Taking taylor expansion of (/ 1 (pow i 2)) in i
12.129 * [taylor]: Taking taylor expansion of (pow i 2) in i
12.129 * [taylor]: Taking taylor expansion of i in i
12.129 * [backup-simplify]: Simplify 0 into 0
12.129 * [backup-simplify]: Simplify 1 into 1
12.129 * [backup-simplify]: Simplify (* 1 1) into 1
12.130 * [backup-simplify]: Simplify (/ 1 1) into 1
12.131 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.131 * [backup-simplify]: Simplify (+ (* 32.0 0) (* 0 1)) into 0
12.132 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
12.133 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
12.134 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.135 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
12.136 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.136 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.137 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
12.138 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.139 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.140 * [backup-simplify]: Simplify (+ (* 32.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
12.141 * [backup-simplify]: Simplify (+ 0 0) into 0
12.142 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
12.142 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.143 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.144 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.145 * [backup-simplify]: Simplify (+ (* 48.0 0) (+ (* 0 0) (* 0 1))) into 0
12.146 * [backup-simplify]: Simplify (+ 8.0 0) into 8.0
12.146 * [backup-simplify]: Simplify (- 8.0) into (- 8.0)
12.147 * [backup-simplify]: Simplify (+ 0 (- 8.0)) into (- 8.0)
12.147 * [backup-simplify]: Simplify (- 8.0) into (- 8.0)
12.150 * [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))))
12.150 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2 1 2)
12.150 * [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)))))
12.150 * [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
12.150 * [taylor]: Taking taylor expansion of (/ (- beta alpha) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta))))) in i
12.150 * [taylor]: Taking taylor expansion of (- beta alpha) in i
12.150 * [taylor]: Taking taylor expansion of beta in i
12.150 * [backup-simplify]: Simplify beta into beta
12.150 * [taylor]: Taking taylor expansion of alpha in i
12.150 * [backup-simplify]: Simplify alpha into alpha
12.151 * [taylor]: Taking taylor expansion of (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta)))) in i
12.151 * [taylor]: Taking taylor expansion of (+ alpha (+ (* 2.0 i) beta)) in i
12.151 * [taylor]: Taking taylor expansion of alpha in i
12.151 * [backup-simplify]: Simplify alpha into alpha
12.151 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in i
12.151 * [taylor]: Taking taylor expansion of (* 2.0 i) in i
12.151 * [taylor]: Taking taylor expansion of 2.0 in i
12.151 * [backup-simplify]: Simplify 2.0 into 2.0
12.151 * [taylor]: Taking taylor expansion of i in i
12.151 * [backup-simplify]: Simplify 0 into 0
12.151 * [backup-simplify]: Simplify 1 into 1
12.151 * [taylor]: Taking taylor expansion of beta in i
12.151 * [backup-simplify]: Simplify beta into beta
12.151 * [taylor]: Taking taylor expansion of (+ alpha (+ 2.0 (+ (* 2.0 i) beta))) in i
12.151 * [taylor]: Taking taylor expansion of alpha in i
12.151 * [backup-simplify]: Simplify alpha into alpha
12.151 * [taylor]: Taking taylor expansion of (+ 2.0 (+ (* 2.0 i) beta)) in i
12.151 * [taylor]: Taking taylor expansion of 2.0 in i
12.151 * [backup-simplify]: Simplify 2.0 into 2.0
12.151 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in i
12.151 * [taylor]: Taking taylor expansion of (* 2.0 i) in i
12.151 * [taylor]: Taking taylor expansion of 2.0 in i
12.151 * [backup-simplify]: Simplify 2.0 into 2.0
12.151 * [taylor]: Taking taylor expansion of i in i
12.151 * [backup-simplify]: Simplify 0 into 0
12.151 * [backup-simplify]: Simplify 1 into 1
12.151 * [taylor]: Taking taylor expansion of beta in i
12.151 * [backup-simplify]: Simplify beta into beta
12.152 * [backup-simplify]: Simplify (- alpha) into (- alpha)
12.152 * [backup-simplify]: Simplify (+ beta (- alpha)) into (- beta alpha)
12.152 * [backup-simplify]: Simplify (* 2.0 0) into 0
12.152 * [backup-simplify]: Simplify (+ 0 beta) into beta
12.152 * [backup-simplify]: Simplify (+ alpha beta) into (+ alpha beta)
12.153 * [backup-simplify]: Simplify (* 2.0 0) into 0
12.153 * [backup-simplify]: Simplify (+ 0 beta) into beta
12.153 * [backup-simplify]: Simplify (+ 2.0 beta) into (+ beta 2.0)
12.153 * [backup-simplify]: Simplify (+ alpha (+ beta 2.0)) into (+ alpha (+ beta 2.0))
12.153 * [backup-simplify]: Simplify (* (+ alpha beta) (+ alpha (+ beta 2.0))) into (* (+ alpha beta) (+ alpha (+ beta 2.0)))
12.154 * [backup-simplify]: Simplify (/ (- beta alpha) (* (+ alpha beta) (+ alpha (+ beta 2.0)))) into (/ (- beta alpha) (* (+ alpha beta) (+ alpha (+ beta 2.0))))
12.154 * [taylor]: Taking taylor expansion of (/ (- beta alpha) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta))))) in alpha
12.154 * [taylor]: Taking taylor expansion of (- beta alpha) in alpha
12.154 * [taylor]: Taking taylor expansion of beta in alpha
12.154 * [backup-simplify]: Simplify beta into beta
12.154 * [taylor]: Taking taylor expansion of alpha in alpha
12.154 * [backup-simplify]: Simplify 0 into 0
12.154 * [backup-simplify]: Simplify 1 into 1
12.154 * [taylor]: Taking taylor expansion of (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta)))) in alpha
12.154 * [taylor]: Taking taylor expansion of (+ alpha (+ (* 2.0 i) beta)) in alpha
12.154 * [taylor]: Taking taylor expansion of alpha in alpha
12.154 * [backup-simplify]: Simplify 0 into 0
12.154 * [backup-simplify]: Simplify 1 into 1
12.154 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in alpha
12.154 * [taylor]: Taking taylor expansion of (* 2.0 i) in alpha
12.154 * [taylor]: Taking taylor expansion of 2.0 in alpha
12.154 * [backup-simplify]: Simplify 2.0 into 2.0
12.154 * [taylor]: Taking taylor expansion of i in alpha
12.154 * [backup-simplify]: Simplify i into i
12.154 * [taylor]: Taking taylor expansion of beta in alpha
12.154 * [backup-simplify]: Simplify beta into beta
12.154 * [taylor]: Taking taylor expansion of (+ alpha (+ 2.0 (+ (* 2.0 i) beta))) in alpha
12.154 * [taylor]: Taking taylor expansion of alpha in alpha
12.154 * [backup-simplify]: Simplify 0 into 0
12.154 * [backup-simplify]: Simplify 1 into 1
12.154 * [taylor]: Taking taylor expansion of (+ 2.0 (+ (* 2.0 i) beta)) in alpha
12.154 * [taylor]: Taking taylor expansion of 2.0 in alpha
12.154 * [backup-simplify]: Simplify 2.0 into 2.0
12.154 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in alpha
12.154 * [taylor]: Taking taylor expansion of (* 2.0 i) in alpha
12.155 * [taylor]: Taking taylor expansion of 2.0 in alpha
12.155 * [backup-simplify]: Simplify 2.0 into 2.0
12.155 * [taylor]: Taking taylor expansion of i in alpha
12.155 * [backup-simplify]: Simplify i into i
12.155 * [taylor]: Taking taylor expansion of beta in alpha
12.155 * [backup-simplify]: Simplify beta into beta
12.155 * [backup-simplify]: Simplify (- 0) into 0
12.155 * [backup-simplify]: Simplify (+ beta 0) into beta
12.155 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
12.155 * [backup-simplify]: Simplify (+ (* 2.0 i) beta) into (+ (* 2.0 i) beta)
12.156 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 i) beta)) into (+ (* 2.0 i) beta)
12.156 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
12.156 * [backup-simplify]: Simplify (+ (* 2.0 i) beta) into (+ (* 2.0 i) beta)
12.156 * [backup-simplify]: Simplify (+ 2.0 (+ (* 2.0 i) beta)) into (+ (* 2.0 i) (+ beta 2.0))
12.156 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 i) (+ beta 2.0))) into (+ (* 2.0 i) (+ beta 2.0))
12.156 * [backup-simplify]: Simplify (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0))) into (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))
12.156 * [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))))
12.156 * [taylor]: Taking taylor expansion of (/ (- beta alpha) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta))))) in beta
12.157 * [taylor]: Taking taylor expansion of (- beta alpha) in beta
12.157 * [taylor]: Taking taylor expansion of beta in beta
12.157 * [backup-simplify]: Simplify 0 into 0
12.157 * [backup-simplify]: Simplify 1 into 1
12.157 * [taylor]: Taking taylor expansion of alpha in beta
12.157 * [backup-simplify]: Simplify alpha into alpha
12.157 * [taylor]: Taking taylor expansion of (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta)))) in beta
12.157 * [taylor]: Taking taylor expansion of (+ alpha (+ (* 2.0 i) beta)) in beta
12.157 * [taylor]: Taking taylor expansion of alpha in beta
12.157 * [backup-simplify]: Simplify alpha into alpha
12.157 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
12.157 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
12.157 * [taylor]: Taking taylor expansion of 2.0 in beta
12.157 * [backup-simplify]: Simplify 2.0 into 2.0
12.157 * [taylor]: Taking taylor expansion of i in beta
12.157 * [backup-simplify]: Simplify i into i
12.157 * [taylor]: Taking taylor expansion of beta in beta
12.157 * [backup-simplify]: Simplify 0 into 0
12.157 * [backup-simplify]: Simplify 1 into 1
12.157 * [taylor]: Taking taylor expansion of (+ alpha (+ 2.0 (+ (* 2.0 i) beta))) in beta
12.157 * [taylor]: Taking taylor expansion of alpha in beta
12.157 * [backup-simplify]: Simplify alpha into alpha
12.157 * [taylor]: Taking taylor expansion of (+ 2.0 (+ (* 2.0 i) beta)) in beta
12.157 * [taylor]: Taking taylor expansion of 2.0 in beta
12.157 * [backup-simplify]: Simplify 2.0 into 2.0
12.157 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
12.157 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
12.157 * [taylor]: Taking taylor expansion of 2.0 in beta
12.157 * [backup-simplify]: Simplify 2.0 into 2.0
12.157 * [taylor]: Taking taylor expansion of i in beta
12.157 * [backup-simplify]: Simplify i into i
12.158 * [taylor]: Taking taylor expansion of beta in beta
12.158 * [backup-simplify]: Simplify 0 into 0
12.158 * [backup-simplify]: Simplify 1 into 1
12.158 * [backup-simplify]: Simplify (- alpha) into (- alpha)
12.158 * [backup-simplify]: Simplify (+ 0 (- alpha)) into (- alpha)
12.158 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
12.158 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
12.158 * [backup-simplify]: Simplify (+ alpha (* 2.0 i)) into (+ alpha (* 2.0 i))
12.158 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
12.158 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
12.158 * [backup-simplify]: Simplify (+ 2.0 (* 2.0 i)) into (+ (* 2.0 i) 2.0)
12.158 * [backup-simplify]: Simplify (+ alpha (+ (* 2.0 i) 2.0)) into (+ alpha (+ (* 2.0 i) 2.0))
12.159 * [backup-simplify]: Simplify (* (+ alpha (* 2.0 i)) (+ alpha (+ (* 2.0 i) 2.0))) into (* (+ alpha (+ (* 2.0 i) 2.0)) (+ alpha (* 2.0 i)))
12.159 * [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)))))
12.159 * [taylor]: Taking taylor expansion of (/ (- beta alpha) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta))))) in beta
12.159 * [taylor]: Taking taylor expansion of (- beta alpha) in beta
12.159 * [taylor]: Taking taylor expansion of beta in beta
12.159 * [backup-simplify]: Simplify 0 into 0
12.159 * [backup-simplify]: Simplify 1 into 1
12.159 * [taylor]: Taking taylor expansion of alpha in beta
12.159 * [backup-simplify]: Simplify alpha into alpha
12.159 * [taylor]: Taking taylor expansion of (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta)))) in beta
12.159 * [taylor]: Taking taylor expansion of (+ alpha (+ (* 2.0 i) beta)) in beta
12.159 * [taylor]: Taking taylor expansion of alpha in beta
12.159 * [backup-simplify]: Simplify alpha into alpha
12.159 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
12.159 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
12.159 * [taylor]: Taking taylor expansion of 2.0 in beta
12.159 * [backup-simplify]: Simplify 2.0 into 2.0
12.159 * [taylor]: Taking taylor expansion of i in beta
12.159 * [backup-simplify]: Simplify i into i
12.159 * [taylor]: Taking taylor expansion of beta in beta
12.159 * [backup-simplify]: Simplify 0 into 0
12.160 * [backup-simplify]: Simplify 1 into 1
12.160 * [taylor]: Taking taylor expansion of (+ alpha (+ 2.0 (+ (* 2.0 i) beta))) in beta
12.160 * [taylor]: Taking taylor expansion of alpha in beta
12.160 * [backup-simplify]: Simplify alpha into alpha
12.160 * [taylor]: Taking taylor expansion of (+ 2.0 (+ (* 2.0 i) beta)) in beta
12.160 * [taylor]: Taking taylor expansion of 2.0 in beta
12.160 * [backup-simplify]: Simplify 2.0 into 2.0
12.160 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
12.160 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
12.160 * [taylor]: Taking taylor expansion of 2.0 in beta
12.160 * [backup-simplify]: Simplify 2.0 into 2.0
12.160 * [taylor]: Taking taylor expansion of i in beta
12.160 * [backup-simplify]: Simplify i into i
12.160 * [taylor]: Taking taylor expansion of beta in beta
12.160 * [backup-simplify]: Simplify 0 into 0
12.160 * [backup-simplify]: Simplify 1 into 1
12.160 * [backup-simplify]: Simplify (- alpha) into (- alpha)
12.160 * [backup-simplify]: Simplify (+ 0 (- alpha)) into (- alpha)
12.160 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
12.160 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
12.160 * [backup-simplify]: Simplify (+ alpha (* 2.0 i)) into (+ alpha (* 2.0 i))
12.160 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
12.161 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
12.161 * [backup-simplify]: Simplify (+ 2.0 (* 2.0 i)) into (+ (* 2.0 i) 2.0)
12.161 * [backup-simplify]: Simplify (+ alpha (+ (* 2.0 i) 2.0)) into (+ alpha (+ (* 2.0 i) 2.0))
12.161 * [backup-simplify]: Simplify (* (+ alpha (* 2.0 i)) (+ alpha (+ (* 2.0 i) 2.0))) into (* (+ alpha (+ (* 2.0 i) 2.0)) (+ alpha (* 2.0 i)))
12.161 * [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)))))
12.161 * [taylor]: Taking taylor expansion of (* -1 (/ alpha (* (+ alpha (* 2.0 i)) (+ alpha (+ (* 2.0 i) 2.0))))) in alpha
12.161 * [taylor]: Taking taylor expansion of -1 in alpha
12.161 * [backup-simplify]: Simplify -1 into -1
12.162 * [taylor]: Taking taylor expansion of (/ alpha (* (+ alpha (* 2.0 i)) (+ alpha (+ (* 2.0 i) 2.0)))) in alpha
12.162 * [taylor]: Taking taylor expansion of alpha in alpha
12.162 * [backup-simplify]: Simplify 0 into 0
12.162 * [backup-simplify]: Simplify 1 into 1
12.162 * [taylor]: Taking taylor expansion of (* (+ alpha (* 2.0 i)) (+ alpha (+ (* 2.0 i) 2.0))) in alpha
12.162 * [taylor]: Taking taylor expansion of (+ alpha (* 2.0 i)) in alpha
12.162 * [taylor]: Taking taylor expansion of alpha in alpha
12.162 * [backup-simplify]: Simplify 0 into 0
12.162 * [backup-simplify]: Simplify 1 into 1
12.162 * [taylor]: Taking taylor expansion of (* 2.0 i) in alpha
12.162 * [taylor]: Taking taylor expansion of 2.0 in alpha
12.162 * [backup-simplify]: Simplify 2.0 into 2.0
12.162 * [taylor]: Taking taylor expansion of i in alpha
12.162 * [backup-simplify]: Simplify i into i
12.162 * [taylor]: Taking taylor expansion of (+ alpha (+ (* 2.0 i) 2.0)) in alpha
12.162 * [taylor]: Taking taylor expansion of alpha in alpha
12.162 * [backup-simplify]: Simplify 0 into 0
12.162 * [backup-simplify]: Simplify 1 into 1
12.162 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) 2.0) in alpha
12.162 * [taylor]: Taking taylor expansion of (* 2.0 i) in alpha
12.162 * [taylor]: Taking taylor expansion of 2.0 in alpha
12.162 * [backup-simplify]: Simplify 2.0 into 2.0
12.162 * [taylor]: Taking taylor expansion of i in alpha
12.162 * [backup-simplify]: Simplify i into i
12.162 * [taylor]: Taking taylor expansion of 2.0 in alpha
12.162 * [backup-simplify]: Simplify 2.0 into 2.0
12.162 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
12.162 * [backup-simplify]: Simplify (+ 0 (* 2.0 i)) into (* 2.0 i)
12.163 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
12.163 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
12.163 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 i) 2.0)) into (+ (* 2.0 i) 2.0)
12.163 * [backup-simplify]: Simplify (* (* 2.0 i) (+ (* 2.0 i) 2.0)) into (* 2.0 (* i (+ (* 2.0 i) 2.0)))
12.163 * [backup-simplify]: Simplify (/ 1 (* 2.0 (* i (+ (* 2.0 i) 2.0)))) into (/ 0.5 (* i (+ (* 2.0 i) 2.0)))
12.164 * [backup-simplify]: Simplify (- 0) into 0
12.164 * [backup-simplify]: Simplify (+ 1 0) into 1
12.165 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 i)) into 0
12.165 * [backup-simplify]: Simplify (+ 0 1) into 1
12.166 * [backup-simplify]: Simplify (+ 0 1) into 1
12.166 * [backup-simplify]: Simplify (+ 0 1) into 1
12.166 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 i)) into 0
12.167 * [backup-simplify]: Simplify (+ 0 1) into 1
12.167 * [backup-simplify]: Simplify (+ 0 1) into 1
12.168 * [backup-simplify]: Simplify (+ (* (+ alpha (* 2.0 i)) 1) (* 1 (+ alpha (+ (* 2.0 i) 2.0)))) into (+ (* 2 alpha) (+ (* 4.0 i) 2.0))
12.168 * [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)))))))
12.168 * [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
12.169 * [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
12.169 * [taylor]: Taking taylor expansion of 4.0 in alpha
12.169 * [backup-simplify]: Simplify 4.0 into 4.0
12.169 * [taylor]: Taking taylor expansion of (/ (* alpha i) (* (pow (+ alpha (* 2.0 i)) 2) (pow (+ alpha (+ (* 2.0 i) 2.0)) 2))) in alpha
12.169 * [taylor]: Taking taylor expansion of (* alpha i) in alpha
12.169 * [taylor]: Taking taylor expansion of alpha in alpha
12.169 * [backup-simplify]: Simplify 0 into 0
12.169 * [backup-simplify]: Simplify 1 into 1
12.169 * [taylor]: Taking taylor expansion of i in alpha
12.169 * [backup-simplify]: Simplify i into i
12.169 * [taylor]: Taking taylor expansion of (* (pow (+ alpha (* 2.0 i)) 2) (pow (+ alpha (+ (* 2.0 i) 2.0)) 2)) in alpha
12.169 * [taylor]: Taking taylor expansion of (pow (+ alpha (* 2.0 i)) 2) in alpha
12.169 * [taylor]: Taking taylor expansion of (+ alpha (* 2.0 i)) in alpha
12.169 * [taylor]: Taking taylor expansion of alpha in alpha
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 i) in alpha
12.169 * [taylor]: Taking taylor expansion of 2.0 in alpha
12.169 * [backup-simplify]: Simplify 2.0 into 2.0
12.169 * [taylor]: Taking taylor expansion of i in alpha
12.169 * [backup-simplify]: Simplify i into i
12.169 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
12.169 * [backup-simplify]: Simplify (+ 0 (* 2.0 i)) into (* 2.0 i)
12.169 * [taylor]: Taking taylor expansion of (pow (+ alpha (+ (* 2.0 i) 2.0)) 2) in alpha
12.169 * [taylor]: Taking taylor expansion of (+ alpha (+ (* 2.0 i) 2.0)) in alpha
12.169 * [taylor]: Taking taylor expansion of alpha in alpha
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 i) 2.0) in alpha
12.169 * [taylor]: Taking taylor expansion of (* 2.0 i) in alpha
12.169 * [taylor]: Taking taylor expansion of 2.0 in alpha
12.169 * [backup-simplify]: Simplify 2.0 into 2.0
12.169 * [taylor]: Taking taylor expansion of i in alpha
12.169 * [backup-simplify]: Simplify i into i
12.169 * [taylor]: Taking taylor expansion of 2.0 in alpha
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 (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
12.169 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 i) 2.0)) into (+ (* 2.0 i) 2.0)
12.169 * [backup-simplify]: Simplify (* 0 i) into 0
12.170 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 i)) into i
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) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
12.170 * [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)))
12.170 * [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)))
12.170 * [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
12.170 * [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
12.170 * [taylor]: Taking taylor expansion of 2 in alpha
12.170 * [backup-simplify]: Simplify 2 into 2
12.170 * [taylor]: Taking taylor expansion of (/ (pow alpha 2) (* (pow (+ alpha (* 2.0 i)) 2) (pow (+ alpha (+ (* 2.0 i) 2.0)) 2))) in alpha
12.170 * [taylor]: Taking taylor expansion of (pow alpha 2) in alpha
12.170 * [taylor]: Taking taylor expansion of alpha in alpha
12.170 * [backup-simplify]: Simplify 0 into 0
12.170 * [backup-simplify]: Simplify 1 into 1
12.171 * [taylor]: Taking taylor expansion of (* (pow (+ alpha (* 2.0 i)) 2) (pow (+ alpha (+ (* 2.0 i) 2.0)) 2)) in alpha
12.171 * [taylor]: Taking taylor expansion of (pow (+ alpha (* 2.0 i)) 2) in alpha
12.171 * [taylor]: Taking taylor expansion of (+ alpha (* 2.0 i)) in alpha
12.171 * [taylor]: Taking taylor expansion of alpha in alpha
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 i) in alpha
12.171 * [taylor]: Taking taylor expansion of 2.0 in alpha
12.171 * [backup-simplify]: Simplify 2.0 into 2.0
12.171 * [taylor]: Taking taylor expansion of i in alpha
12.171 * [backup-simplify]: Simplify i into i
12.171 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
12.171 * [backup-simplify]: Simplify (+ 0 (* 2.0 i)) into (* 2.0 i)
12.171 * [taylor]: Taking taylor expansion of (pow (+ alpha (+ (* 2.0 i) 2.0)) 2) in alpha
12.171 * [taylor]: Taking taylor expansion of (+ alpha (+ (* 2.0 i) 2.0)) in alpha
12.171 * [taylor]: Taking taylor expansion of alpha in alpha
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 i) 2.0) in alpha
12.171 * [taylor]: Taking taylor expansion of (* 2.0 i) in alpha
12.171 * [taylor]: Taking taylor expansion of 2.0 in alpha
12.171 * [backup-simplify]: Simplify 2.0 into 2.0
12.171 * [taylor]: Taking taylor expansion of i in alpha
12.171 * [backup-simplify]: Simplify i into i
12.171 * [taylor]: Taking taylor expansion of 2.0 in alpha
12.171 * [backup-simplify]: Simplify 2.0 into 2.0
12.171 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
12.171 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
12.171 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 i) 2.0)) into (+ (* 2.0 i) 2.0)
12.171 * [backup-simplify]: Simplify (* 1 1) into 1
12.171 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
12.172 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
12.172 * [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)))
12.172 * [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)))
12.172 * [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
12.172 * [taylor]: Taking taylor expansion of (* 2.0 (/ alpha (* (pow (+ alpha (* 2.0 i)) 2) (pow (+ alpha (+ (* 2.0 i) 2.0)) 2)))) in alpha
12.172 * [taylor]: Taking taylor expansion of 2.0 in alpha
12.172 * [backup-simplify]: Simplify 2.0 into 2.0
12.172 * [taylor]: Taking taylor expansion of (/ alpha (* (pow (+ alpha (* 2.0 i)) 2) (pow (+ alpha (+ (* 2.0 i) 2.0)) 2))) in alpha
12.172 * [taylor]: Taking taylor expansion of alpha in alpha
12.172 * [backup-simplify]: Simplify 0 into 0
12.172 * [backup-simplify]: Simplify 1 into 1
12.172 * [taylor]: Taking taylor expansion of (* (pow (+ alpha (* 2.0 i)) 2) (pow (+ alpha (+ (* 2.0 i) 2.0)) 2)) in alpha
12.172 * [taylor]: Taking taylor expansion of (pow (+ alpha (* 2.0 i)) 2) in alpha
12.172 * [taylor]: Taking taylor expansion of (+ alpha (* 2.0 i)) in alpha
12.172 * [taylor]: Taking taylor expansion of alpha in alpha
12.172 * [backup-simplify]: Simplify 0 into 0
12.172 * [backup-simplify]: Simplify 1 into 1
12.172 * [taylor]: Taking taylor expansion of (* 2.0 i) in alpha
12.172 * [taylor]: Taking taylor expansion of 2.0 in alpha
12.172 * [backup-simplify]: Simplify 2.0 into 2.0
12.172 * [taylor]: Taking taylor expansion of i in alpha
12.172 * [backup-simplify]: Simplify i into i
12.172 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
12.172 * [backup-simplify]: Simplify (+ 0 (* 2.0 i)) into (* 2.0 i)
12.172 * [taylor]: Taking taylor expansion of (pow (+ alpha (+ (* 2.0 i) 2.0)) 2) in alpha
12.172 * [taylor]: Taking taylor expansion of (+ alpha (+ (* 2.0 i) 2.0)) in alpha
12.172 * [taylor]: Taking taylor expansion of alpha in alpha
12.173 * [backup-simplify]: Simplify 0 into 0
12.173 * [backup-simplify]: Simplify 1 into 1
12.173 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) 2.0) in alpha
12.173 * [taylor]: Taking taylor expansion of (* 2.0 i) in alpha
12.173 * [taylor]: Taking taylor expansion of 2.0 in alpha
12.173 * [backup-simplify]: Simplify 2.0 into 2.0
12.173 * [taylor]: Taking taylor expansion of i in alpha
12.173 * [backup-simplify]: Simplify i into i
12.173 * [taylor]: Taking taylor expansion of 2.0 in alpha
12.173 * [backup-simplify]: Simplify 2.0 into 2.0
12.173 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
12.173 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
12.173 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 i) 2.0)) into (+ (* 2.0 i) 2.0)
12.173 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
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 (* (* 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)))
12.173 * [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)))
12.173 * [taylor]: Taking taylor expansion of (/ 1 (* (+ alpha (+ (* 2.0 i) 2.0)) (+ alpha (* 2.0 i)))) in alpha
12.173 * [taylor]: Taking taylor expansion of (* (+ alpha (+ (* 2.0 i) 2.0)) (+ alpha (* 2.0 i))) in alpha
12.173 * [taylor]: Taking taylor expansion of (+ alpha (+ (* 2.0 i) 2.0)) in alpha
12.173 * [taylor]: Taking taylor expansion of alpha in alpha
12.173 * [backup-simplify]: Simplify 0 into 0
12.173 * [backup-simplify]: Simplify 1 into 1
12.174 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) 2.0) in alpha
12.174 * [taylor]: Taking taylor expansion of (* 2.0 i) in alpha
12.174 * [taylor]: Taking taylor expansion of 2.0 in alpha
12.174 * [backup-simplify]: Simplify 2.0 into 2.0
12.174 * [taylor]: Taking taylor expansion of i in alpha
12.174 * [backup-simplify]: Simplify i into i
12.174 * [taylor]: Taking taylor expansion of 2.0 in alpha
12.174 * [backup-simplify]: Simplify 2.0 into 2.0
12.174 * [taylor]: Taking taylor expansion of (+ alpha (* 2.0 i)) in alpha
12.174 * [taylor]: Taking taylor expansion of alpha in alpha
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 i) in alpha
12.174 * [taylor]: Taking taylor expansion of 2.0 in alpha
12.174 * [backup-simplify]: Simplify 2.0 into 2.0
12.174 * [taylor]: Taking taylor expansion of i in alpha
12.174 * [backup-simplify]: Simplify i into i
12.174 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
12.174 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
12.174 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 i) 2.0)) into (+ (* 2.0 i) 2.0)
12.174 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
12.174 * [backup-simplify]: Simplify (+ 0 (* 2.0 i)) into (* 2.0 i)
12.174 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (* 2.0 i)) into (* 2.0 (* (+ (* 2.0 i) 2.0) i))
12.174 * [backup-simplify]: Simplify (/ 1 (* 2.0 (* (+ (* 2.0 i) 2.0) i))) into (/ 0.5 (* (+ (* 2.0 i) 2.0) i))
12.174 * [backup-simplify]: Simplify (+ 0 (/ 0.5 (* (+ (* 2.0 i) 2.0) i))) into (* 0.5 (/ 1 (* (+ (* 2.0 i) 2.0) i)))
12.174 * [backup-simplify]: Simplify (+ 0 (* 0.5 (/ 1 (* (+ (* 2.0 i) 2.0) i)))) into (* 0.5 (/ 1 (* (+ (* 2.0 i) 2.0) i)))
12.175 * [backup-simplify]: Simplify (+ 0 (* 0.5 (/ 1 (* (+ (* 2.0 i) 2.0) i)))) into (* 0.5 (/ 1 (* (+ (* 2.0 i) 2.0) i)))
12.175 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (* (+ (* 2.0 i) 2.0) i))) in i
12.175 * [taylor]: Taking taylor expansion of 0.5 in i
12.175 * [backup-simplify]: Simplify 0.5 into 0.5
12.175 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (* 2.0 i) 2.0) i)) in i
12.175 * [taylor]: Taking taylor expansion of (* (+ (* 2.0 i) 2.0) i) in i
12.175 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) 2.0) in i
12.175 * [taylor]: Taking taylor expansion of (* 2.0 i) in i
12.175 * [taylor]: Taking taylor expansion of 2.0 in i
12.175 * [backup-simplify]: Simplify 2.0 into 2.0
12.175 * [taylor]: Taking taylor expansion of i in i
12.175 * [backup-simplify]: Simplify 0 into 0
12.175 * [backup-simplify]: Simplify 1 into 1
12.175 * [taylor]: Taking taylor expansion of 2.0 in i
12.175 * [backup-simplify]: Simplify 2.0 into 2.0
12.175 * [taylor]: Taking taylor expansion of i in i
12.175 * [backup-simplify]: Simplify 0 into 0
12.175 * [backup-simplify]: Simplify 1 into 1
12.175 * [backup-simplify]: Simplify (* 2.0 0) into 0
12.175 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
12.176 * [backup-simplify]: Simplify (* 2.0 0) into 0
12.177 * [backup-simplify]: Simplify (+ (* 2.0 1) (* 0 0)) into 2.0
12.177 * [backup-simplify]: Simplify (+ 2.0 0) into 2.0
12.178 * [backup-simplify]: Simplify (+ (* 2.0 1) (* 2.0 0)) into 2.0
12.178 * [backup-simplify]: Simplify (/ 1 2.0) into 0.5
12.179 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 1) (* 0 0))) into 0
12.179 * [backup-simplify]: Simplify (+ 0 0) into 0
12.181 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 2.0 1) (* 0 0))) into 2.0
12.182 * [backup-simplify]: Simplify (- (+ (* 0.5 (/ 2.0 2.0)))) into (- 0.5)
12.183 * [backup-simplify]: Simplify (+ (* 0.5 (- 0.5)) (* 0 0.5)) into (- 0.25)
12.183 * [backup-simplify]: Simplify (- 0.25) into (- 0.25)
12.184 * [backup-simplify]: Simplify (* -1 (/ 0.5 (* i (+ (* 2.0 i) 2.0)))) into (/ -0.5 (* i (+ (* 2.0 i) 2.0)))
12.184 * [taylor]: Taking taylor expansion of (/ -0.5 (* i (+ (* 2.0 i) 2.0))) in i
12.184 * [taylor]: Taking taylor expansion of -0.5 in i
12.184 * [backup-simplify]: Simplify -0.5 into -0.5
12.184 * [taylor]: Taking taylor expansion of (* i (+ (* 2.0 i) 2.0)) in i
12.184 * [taylor]: Taking taylor expansion of i in i
12.184 * [backup-simplify]: Simplify 0 into 0
12.184 * [backup-simplify]: Simplify 1 into 1
12.184 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) 2.0) in i
12.184 * [taylor]: Taking taylor expansion of (* 2.0 i) in i
12.184 * [taylor]: Taking taylor expansion of 2.0 in i
12.184 * [backup-simplify]: Simplify 2.0 into 2.0
12.184 * [taylor]: Taking taylor expansion of i in i
12.184 * [backup-simplify]: Simplify 0 into 0
12.184 * [backup-simplify]: Simplify 1 into 1
12.184 * [taylor]: Taking taylor expansion of 2.0 in i
12.184 * [backup-simplify]: Simplify 2.0 into 2.0
12.184 * [backup-simplify]: Simplify (* 2.0 0) into 0
12.185 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
12.185 * [backup-simplify]: Simplify (* 0 2.0) into 0
12.186 * [backup-simplify]: Simplify (+ (* 2.0 1) (* 0 0)) into 2.0
12.186 * [backup-simplify]: Simplify (+ 2.0 0) into 2.0
12.187 * [backup-simplify]: Simplify (+ (* 0 2.0) (* 1 2.0)) into 2.0
12.187 * [backup-simplify]: Simplify (/ -0.5 2.0) into -0.25
12.188 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 1) (* 0 0))) into 0
12.188 * [backup-simplify]: Simplify (+ 0 0) into 0
12.190 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 2.0) (* 0 2.0))) into 2.0
12.191 * [backup-simplify]: Simplify (- (/ 0 2.0) (+ (* -0.25 (/ 2.0 2.0)))) into 0.25
12.191 * [backup-simplify]: Simplify 0.25 into 0.25
12.192 * [backup-simplify]: Simplify (- 0) into 0
12.192 * [backup-simplify]: Simplify (+ 0 0) into 0
12.192 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 i))) into 0
12.193 * [backup-simplify]: Simplify (+ 0 0) into 0
12.193 * [backup-simplify]: Simplify (+ 0 0) into 0
12.193 * [backup-simplify]: Simplify (+ 0 0) into 0
12.194 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 i))) into 0
12.194 * [backup-simplify]: Simplify (+ 0 0) into 0
12.194 * [backup-simplify]: Simplify (+ 0 0) into 0
12.194 * [backup-simplify]: Simplify (+ (* (+ alpha (* 2.0 i)) 0) (+ (* 1 1) (* 0 (+ alpha (+ (* 2.0 i) 2.0))))) into 1
12.198 * [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)))))))))))))
12.198 * [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
12.198 * [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
12.198 * [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
12.198 * [taylor]: Taking taylor expansion of 16.0 in alpha
12.198 * [backup-simplify]: Simplify 16.0 into 16.0
12.198 * [taylor]: Taking taylor expansion of (/ (* alpha i) (* (pow (+ alpha (* 2.0 i)) 3) (pow (+ alpha (+ (* 2.0 i) 2.0)) 3))) in alpha
12.198 * [taylor]: Taking taylor expansion of (* alpha i) in alpha
12.199 * [taylor]: Taking taylor expansion of alpha in alpha
12.199 * [backup-simplify]: Simplify 0 into 0
12.199 * [backup-simplify]: Simplify 1 into 1
12.199 * [taylor]: Taking taylor expansion of i in alpha
12.199 * [backup-simplify]: Simplify i into i
12.199 * [taylor]: Taking taylor expansion of (* (pow (+ alpha (* 2.0 i)) 3) (pow (+ alpha (+ (* 2.0 i) 2.0)) 3)) in alpha
12.199 * [taylor]: Taking taylor expansion of (pow (+ alpha (* 2.0 i)) 3) in alpha
12.199 * [taylor]: Taking taylor expansion of (+ alpha (* 2.0 i)) in alpha
12.199 * [taylor]: Taking taylor expansion of alpha in alpha
12.199 * [backup-simplify]: Simplify 0 into 0
12.199 * [backup-simplify]: Simplify 1 into 1
12.199 * [taylor]: Taking taylor expansion of (* 2.0 i) in alpha
12.199 * [taylor]: Taking taylor expansion of 2.0 in alpha
12.199 * [backup-simplify]: Simplify 2.0 into 2.0
12.199 * [taylor]: Taking taylor expansion of i in alpha
12.199 * [backup-simplify]: Simplify i into i
12.199 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
12.199 * [backup-simplify]: Simplify (+ 0 (* 2.0 i)) into (* 2.0 i)
12.199 * [taylor]: Taking taylor expansion of (pow (+ alpha (+ (* 2.0 i) 2.0)) 3) in alpha
12.199 * [taylor]: Taking taylor expansion of (+ alpha (+ (* 2.0 i) 2.0)) in alpha
12.199 * [taylor]: Taking taylor expansion of alpha in alpha
12.199 * [backup-simplify]: Simplify 0 into 0
12.199 * [backup-simplify]: Simplify 1 into 1
12.199 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) 2.0) in alpha
12.199 * [taylor]: Taking taylor expansion of (* 2.0 i) in alpha
12.199 * [taylor]: Taking taylor expansion of 2.0 in alpha
12.199 * [backup-simplify]: Simplify 2.0 into 2.0
12.199 * [taylor]: Taking taylor expansion of i in alpha
12.199 * [backup-simplify]: Simplify i into i
12.199 * [taylor]: Taking taylor expansion of 2.0 in alpha
12.199 * [backup-simplify]: Simplify 2.0 into 2.0
12.199 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
12.199 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
12.199 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 i) 2.0)) into (+ (* 2.0 i) 2.0)
12.199 * [backup-simplify]: Simplify (* 0 i) into 0
12.200 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 i)) into i
12.200 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
12.200 * [backup-simplify]: Simplify (* (* 2.0 i) (* 4.0 (pow i 2))) into (* 8.0 (pow i 3))
12.200 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
12.200 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (pow (+ (* 2.0 i) 2.0) 2)) into (pow (+ (* 2.0 i) 2.0) 3)
12.200 * [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)))
12.200 * [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)))
12.201 * [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
12.201 * [taylor]: Taking taylor expansion of (* 4.0 (/ i (* (pow (+ alpha (+ (* 2.0 i) 2.0)) 2) (pow (+ alpha (* 2.0 i)) 2)))) in alpha
12.201 * [taylor]: Taking taylor expansion of 4.0 in alpha
12.201 * [backup-simplify]: Simplify 4.0 into 4.0
12.201 * [taylor]: Taking taylor expansion of (/ i (* (pow (+ alpha (+ (* 2.0 i) 2.0)) 2) (pow (+ alpha (* 2.0 i)) 2))) in alpha
12.201 * [taylor]: Taking taylor expansion of i in alpha
12.201 * [backup-simplify]: Simplify i into i
12.201 * [taylor]: Taking taylor expansion of (* (pow (+ alpha (+ (* 2.0 i) 2.0)) 2) (pow (+ alpha (* 2.0 i)) 2)) in alpha
12.201 * [taylor]: Taking taylor expansion of (pow (+ alpha (+ (* 2.0 i) 2.0)) 2) in alpha
12.201 * [taylor]: Taking taylor expansion of (+ alpha (+ (* 2.0 i) 2.0)) in alpha
12.201 * [taylor]: Taking taylor expansion of alpha in alpha
12.201 * [backup-simplify]: Simplify 0 into 0
12.201 * [backup-simplify]: Simplify 1 into 1
12.201 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) 2.0) in alpha
12.201 * [taylor]: Taking taylor expansion of (* 2.0 i) in alpha
12.201 * [taylor]: Taking taylor expansion of 2.0 in alpha
12.201 * [backup-simplify]: Simplify 2.0 into 2.0
12.201 * [taylor]: Taking taylor expansion of i in alpha
12.201 * [backup-simplify]: Simplify i into i
12.201 * [taylor]: Taking taylor expansion of 2.0 in alpha
12.201 * [backup-simplify]: Simplify 2.0 into 2.0
12.201 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
12.201 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
12.201 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 i) 2.0)) into (+ (* 2.0 i) 2.0)
12.201 * [taylor]: Taking taylor expansion of (pow (+ alpha (* 2.0 i)) 2) in alpha
12.201 * [taylor]: Taking taylor expansion of (+ alpha (* 2.0 i)) in alpha
12.201 * [taylor]: Taking taylor expansion of alpha in alpha
12.201 * [backup-simplify]: Simplify 0 into 0
12.201 * [backup-simplify]: Simplify 1 into 1
12.201 * [taylor]: Taking taylor expansion of (* 2.0 i) in alpha
12.201 * [taylor]: Taking taylor expansion of 2.0 in alpha
12.201 * [backup-simplify]: Simplify 2.0 into 2.0
12.201 * [taylor]: Taking taylor expansion of i in alpha
12.201 * [backup-simplify]: Simplify i into i
12.201 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
12.201 * [backup-simplify]: Simplify (+ 0 (* 2.0 i)) into (* 2.0 i)
12.201 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
12.201 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
12.202 * [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)))
12.202 * [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)))
12.202 * [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
12.202 * [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
12.202 * [taylor]: Taking taylor expansion of 4 in alpha
12.202 * [backup-simplify]: Simplify 4 into 4
12.202 * [taylor]: Taking taylor expansion of (/ (pow alpha 3) (* (pow (+ alpha (* 2.0 i)) 3) (pow (+ alpha (+ (* 2.0 i) 2.0)) 3))) in alpha
12.202 * [taylor]: Taking taylor expansion of (pow alpha 3) in alpha
12.202 * [taylor]: Taking taylor expansion of alpha in alpha
12.202 * [backup-simplify]: Simplify 0 into 0
12.202 * [backup-simplify]: Simplify 1 into 1
12.202 * [taylor]: Taking taylor expansion of (* (pow (+ alpha (* 2.0 i)) 3) (pow (+ alpha (+ (* 2.0 i) 2.0)) 3)) in alpha
12.202 * [taylor]: Taking taylor expansion of (pow (+ alpha (* 2.0 i)) 3) in alpha
12.202 * [taylor]: Taking taylor expansion of (+ alpha (* 2.0 i)) in alpha
12.202 * [taylor]: Taking taylor expansion of alpha in alpha
12.202 * [backup-simplify]: Simplify 0 into 0
12.202 * [backup-simplify]: Simplify 1 into 1
12.202 * [taylor]: Taking taylor expansion of (* 2.0 i) in alpha
12.202 * [taylor]: Taking taylor expansion of 2.0 in alpha
12.202 * [backup-simplify]: Simplify 2.0 into 2.0
12.202 * [taylor]: Taking taylor expansion of i in alpha
12.202 * [backup-simplify]: Simplify i into i
12.202 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
12.202 * [backup-simplify]: Simplify (+ 0 (* 2.0 i)) into (* 2.0 i)
12.202 * [taylor]: Taking taylor expansion of (pow (+ alpha (+ (* 2.0 i) 2.0)) 3) in alpha
12.202 * [taylor]: Taking taylor expansion of (+ alpha (+ (* 2.0 i) 2.0)) in alpha
12.202 * [taylor]: Taking taylor expansion of alpha in alpha
12.202 * [backup-simplify]: Simplify 0 into 0
12.202 * [backup-simplify]: Simplify 1 into 1
12.202 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) 2.0) in alpha
12.202 * [taylor]: Taking taylor expansion of (* 2.0 i) in alpha
12.202 * [taylor]: Taking taylor expansion of 2.0 in alpha
12.202 * [backup-simplify]: Simplify 2.0 into 2.0
12.203 * [taylor]: Taking taylor expansion of i in alpha
12.203 * [backup-simplify]: Simplify i into i
12.203 * [taylor]: Taking taylor expansion of 2.0 in alpha
12.203 * [backup-simplify]: Simplify 2.0 into 2.0
12.203 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
12.203 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
12.203 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 i) 2.0)) into (+ (* 2.0 i) 2.0)
12.203 * [backup-simplify]: Simplify (* 1 1) into 1
12.203 * [backup-simplify]: Simplify (* 1 1) into 1
12.203 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
12.203 * [backup-simplify]: Simplify (* (* 2.0 i) (* 4.0 (pow i 2))) into (* 8.0 (pow i 3))
12.204 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
12.204 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (pow (+ (* 2.0 i) 2.0) 2)) into (pow (+ (* 2.0 i) 2.0) 3)
12.204 * [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)))
12.204 * [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)))
12.204 * [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
12.204 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* (pow (+ alpha (+ (* 2.0 i) 2.0)) 2) (pow (+ alpha (* 2.0 i)) 2)))) in alpha
12.204 * [taylor]: Taking taylor expansion of 2.0 in alpha
12.204 * [backup-simplify]: Simplify 2.0 into 2.0
12.204 * [taylor]: Taking taylor expansion of (/ 1 (* (pow (+ alpha (+ (* 2.0 i) 2.0)) 2) (pow (+ alpha (* 2.0 i)) 2))) in alpha
12.204 * [taylor]: Taking taylor expansion of (* (pow (+ alpha (+ (* 2.0 i) 2.0)) 2) (pow (+ alpha (* 2.0 i)) 2)) in alpha
12.204 * [taylor]: Taking taylor expansion of (pow (+ alpha (+ (* 2.0 i) 2.0)) 2) in alpha
12.204 * [taylor]: Taking taylor expansion of (+ alpha (+ (* 2.0 i) 2.0)) in alpha
12.204 * [taylor]: Taking taylor expansion of alpha in alpha
12.204 * [backup-simplify]: Simplify 0 into 0
12.204 * [backup-simplify]: Simplify 1 into 1
12.204 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) 2.0) in alpha
12.204 * [taylor]: Taking taylor expansion of (* 2.0 i) in alpha
12.204 * [taylor]: Taking taylor expansion of 2.0 in alpha
12.204 * [backup-simplify]: Simplify 2.0 into 2.0
12.204 * [taylor]: Taking taylor expansion of i in alpha
12.204 * [backup-simplify]: Simplify i into i
12.204 * [taylor]: Taking taylor expansion of 2.0 in alpha
12.205 * [backup-simplify]: Simplify 2.0 into 2.0
12.205 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
12.205 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
12.205 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 i) 2.0)) into (+ (* 2.0 i) 2.0)
12.205 * [taylor]: Taking taylor expansion of (pow (+ alpha (* 2.0 i)) 2) in alpha
12.205 * [taylor]: Taking taylor expansion of (+ alpha (* 2.0 i)) in alpha
12.205 * [taylor]: Taking taylor expansion of alpha in alpha
12.205 * [backup-simplify]: Simplify 0 into 0
12.205 * [backup-simplify]: Simplify 1 into 1
12.205 * [taylor]: Taking taylor expansion of (* 2.0 i) in alpha
12.205 * [taylor]: Taking taylor expansion of 2.0 in alpha
12.205 * [backup-simplify]: Simplify 2.0 into 2.0
12.205 * [taylor]: Taking taylor expansion of i in alpha
12.205 * [backup-simplify]: Simplify i into i
12.205 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
12.205 * [backup-simplify]: Simplify (+ 0 (* 2.0 i)) into (* 2.0 i)
12.205 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
12.205 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
12.205 * [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)))
12.205 * [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)))
12.206 * [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
12.206 * [taylor]: Taking taylor expansion of (* 4.0 (/ alpha (* (pow (+ alpha (* 2.0 i)) 3) (pow (+ alpha (+ (* 2.0 i) 2.0)) 3)))) in alpha
12.206 * [taylor]: Taking taylor expansion of 4.0 in alpha
12.206 * [backup-simplify]: Simplify 4.0 into 4.0
12.206 * [taylor]: Taking taylor expansion of (/ alpha (* (pow (+ alpha (* 2.0 i)) 3) (pow (+ alpha (+ (* 2.0 i) 2.0)) 3))) in alpha
12.206 * [taylor]: Taking taylor expansion of alpha in alpha
12.206 * [backup-simplify]: Simplify 0 into 0
12.206 * [backup-simplify]: Simplify 1 into 1
12.206 * [taylor]: Taking taylor expansion of (* (pow (+ alpha (* 2.0 i)) 3) (pow (+ alpha (+ (* 2.0 i) 2.0)) 3)) in alpha
12.206 * [taylor]: Taking taylor expansion of (pow (+ alpha (* 2.0 i)) 3) in alpha
12.206 * [taylor]: Taking taylor expansion of (+ alpha (* 2.0 i)) in alpha
12.206 * [taylor]: Taking taylor expansion of alpha in alpha
12.206 * [backup-simplify]: Simplify 0 into 0
12.206 * [backup-simplify]: Simplify 1 into 1
12.206 * [taylor]: Taking taylor expansion of (* 2.0 i) in alpha
12.206 * [taylor]: Taking taylor expansion of 2.0 in alpha
12.206 * [backup-simplify]: Simplify 2.0 into 2.0
12.206 * [taylor]: Taking taylor expansion of i in alpha
12.206 * [backup-simplify]: Simplify i into i
12.206 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
12.206 * [backup-simplify]: Simplify (+ 0 (* 2.0 i)) into (* 2.0 i)
12.206 * [taylor]: Taking taylor expansion of (pow (+ alpha (+ (* 2.0 i) 2.0)) 3) in alpha
12.206 * [taylor]: Taking taylor expansion of (+ alpha (+ (* 2.0 i) 2.0)) in alpha
12.206 * [taylor]: Taking taylor expansion of alpha in alpha
12.206 * [backup-simplify]: Simplify 0 into 0
12.206 * [backup-simplify]: Simplify 1 into 1
12.206 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) 2.0) in alpha
12.206 * [taylor]: Taking taylor expansion of (* 2.0 i) in alpha
12.206 * [taylor]: Taking taylor expansion of 2.0 in alpha
12.206 * [backup-simplify]: Simplify 2.0 into 2.0
12.206 * [taylor]: Taking taylor expansion of i in alpha
12.206 * [backup-simplify]: Simplify i into i
12.206 * [taylor]: Taking taylor expansion of 2.0 in alpha
12.206 * [backup-simplify]: Simplify 2.0 into 2.0
12.206 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
12.206 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
12.206 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 i) 2.0)) into (+ (* 2.0 i) 2.0)
12.206 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
12.206 * [backup-simplify]: Simplify (* (* 2.0 i) (* 4.0 (pow i 2))) into (* 8.0 (pow i 3))
12.207 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
12.207 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (pow (+ (* 2.0 i) 2.0) 2)) into (pow (+ (* 2.0 i) 2.0) 3)
12.207 * [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)))
12.207 * [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)))
12.207 * [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
12.207 * [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
12.207 * [taylor]: Taking taylor expansion of 8.0 in alpha
12.207 * [backup-simplify]: Simplify 8.0 into 8.0
12.207 * [taylor]: Taking taylor expansion of (/ (pow alpha 2) (* (pow (+ alpha (* 2.0 i)) 3) (pow (+ alpha (+ (* 2.0 i) 2.0)) 3))) in alpha
12.207 * [taylor]: Taking taylor expansion of (pow alpha 2) in alpha
12.207 * [taylor]: Taking taylor expansion of alpha in alpha
12.207 * [backup-simplify]: Simplify 0 into 0
12.207 * [backup-simplify]: Simplify 1 into 1
12.207 * [taylor]: Taking taylor expansion of (* (pow (+ alpha (* 2.0 i)) 3) (pow (+ alpha (+ (* 2.0 i) 2.0)) 3)) in alpha
12.207 * [taylor]: Taking taylor expansion of (pow (+ alpha (* 2.0 i)) 3) in alpha
12.207 * [taylor]: Taking taylor expansion of (+ alpha (* 2.0 i)) in alpha
12.207 * [taylor]: Taking taylor expansion of alpha in alpha
12.207 * [backup-simplify]: Simplify 0 into 0
12.207 * [backup-simplify]: Simplify 1 into 1
12.207 * [taylor]: Taking taylor expansion of (* 2.0 i) in alpha
12.207 * [taylor]: Taking taylor expansion of 2.0 in alpha
12.207 * [backup-simplify]: Simplify 2.0 into 2.0
12.208 * [taylor]: Taking taylor expansion of i in alpha
12.208 * [backup-simplify]: Simplify i into i
12.208 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
12.208 * [backup-simplify]: Simplify (+ 0 (* 2.0 i)) into (* 2.0 i)
12.208 * [taylor]: Taking taylor expansion of (pow (+ alpha (+ (* 2.0 i) 2.0)) 3) in alpha
12.208 * [taylor]: Taking taylor expansion of (+ alpha (+ (* 2.0 i) 2.0)) in alpha
12.208 * [taylor]: Taking taylor expansion of alpha in alpha
12.208 * [backup-simplify]: Simplify 0 into 0
12.208 * [backup-simplify]: Simplify 1 into 1
12.208 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) 2.0) in alpha
12.208 * [taylor]: Taking taylor expansion of (* 2.0 i) in alpha
12.208 * [taylor]: Taking taylor expansion of 2.0 in alpha
12.208 * [backup-simplify]: Simplify 2.0 into 2.0
12.208 * [taylor]: Taking taylor expansion of i in alpha
12.208 * [backup-simplify]: Simplify i into i
12.208 * [taylor]: Taking taylor expansion of 2.0 in alpha
12.208 * [backup-simplify]: Simplify 2.0 into 2.0
12.208 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
12.208 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
12.208 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 i) 2.0)) into (+ (* 2.0 i) 2.0)
12.208 * [backup-simplify]: Simplify (* 1 1) into 1
12.208 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
12.208 * [backup-simplify]: Simplify (* (* 2.0 i) (* 4.0 (pow i 2))) into (* 8.0 (pow i 3))
12.209 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
12.209 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (pow (+ (* 2.0 i) 2.0) 2)) into (pow (+ (* 2.0 i) 2.0) 3)
12.209 * [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)))
12.209 * [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)))
12.209 * [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
12.209 * [taylor]: Taking taylor expansion of (/ alpha (* (pow (+ alpha (* 2.0 i)) 2) (pow (+ alpha (+ (* 2.0 i) 2.0)) 2))) in alpha
12.209 * [taylor]: Taking taylor expansion of alpha in alpha
12.209 * [backup-simplify]: Simplify 0 into 0
12.210 * [backup-simplify]: Simplify 1 into 1
12.210 * [taylor]: Taking taylor expansion of (* (pow (+ alpha (* 2.0 i)) 2) (pow (+ alpha (+ (* 2.0 i) 2.0)) 2)) in alpha
12.210 * [taylor]: Taking taylor expansion of (pow (+ alpha (* 2.0 i)) 2) in alpha
12.210 * [taylor]: Taking taylor expansion of (+ alpha (* 2.0 i)) in alpha
12.210 * [taylor]: Taking taylor expansion of alpha in alpha
12.210 * [backup-simplify]: Simplify 0 into 0
12.210 * [backup-simplify]: Simplify 1 into 1
12.210 * [taylor]: Taking taylor expansion of (* 2.0 i) in alpha
12.210 * [taylor]: Taking taylor expansion of 2.0 in alpha
12.210 * [backup-simplify]: Simplify 2.0 into 2.0
12.210 * [taylor]: Taking taylor expansion of i in alpha
12.210 * [backup-simplify]: Simplify i into i
12.210 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
12.210 * [backup-simplify]: Simplify (+ 0 (* 2.0 i)) into (* 2.0 i)
12.210 * [taylor]: Taking taylor expansion of (pow (+ alpha (+ (* 2.0 i) 2.0)) 2) in alpha
12.210 * [taylor]: Taking taylor expansion of (+ alpha (+ (* 2.0 i) 2.0)) in alpha
12.210 * [taylor]: Taking taylor expansion of alpha in alpha
12.210 * [backup-simplify]: Simplify 0 into 0
12.210 * [backup-simplify]: Simplify 1 into 1
12.210 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) 2.0) in alpha
12.210 * [taylor]: Taking taylor expansion of (* 2.0 i) in alpha
12.210 * [taylor]: Taking taylor expansion of 2.0 in alpha
12.210 * [backup-simplify]: Simplify 2.0 into 2.0
12.210 * [taylor]: Taking taylor expansion of i in alpha
12.210 * [backup-simplify]: Simplify i into i
12.210 * [taylor]: Taking taylor expansion of 2.0 in alpha
12.210 * [backup-simplify]: Simplify 2.0 into 2.0
12.210 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
12.210 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
12.210 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 i) 2.0)) into (+ (* 2.0 i) 2.0)
12.210 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
12.210 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
12.210 * [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)))
12.211 * [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)))
12.211 * [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
12.211 * [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
12.211 * [taylor]: Taking taylor expansion of 16.0 in alpha
12.211 * [backup-simplify]: Simplify 16.0 into 16.0
12.211 * [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
12.211 * [taylor]: Taking taylor expansion of (* alpha (pow i 2)) in alpha
12.211 * [taylor]: Taking taylor expansion of alpha in alpha
12.211 * [backup-simplify]: Simplify 0 into 0
12.211 * [backup-simplify]: Simplify 1 into 1
12.211 * [taylor]: Taking taylor expansion of (pow i 2) in alpha
12.211 * [taylor]: Taking taylor expansion of i in alpha
12.211 * [backup-simplify]: Simplify i into i
12.211 * [taylor]: Taking taylor expansion of (* (pow (+ alpha (* 2.0 i)) 3) (pow (+ alpha (+ (* 2.0 i) 2.0)) 3)) in alpha
12.211 * [taylor]: Taking taylor expansion of (pow (+ alpha (* 2.0 i)) 3) in alpha
12.211 * [taylor]: Taking taylor expansion of (+ alpha (* 2.0 i)) in alpha
12.211 * [taylor]: Taking taylor expansion of alpha in alpha
12.211 * [backup-simplify]: Simplify 0 into 0
12.211 * [backup-simplify]: Simplify 1 into 1
12.211 * [taylor]: Taking taylor expansion of (* 2.0 i) in alpha
12.211 * [taylor]: Taking taylor expansion of 2.0 in alpha
12.211 * [backup-simplify]: Simplify 2.0 into 2.0
12.211 * [taylor]: Taking taylor expansion of i in alpha
12.211 * [backup-simplify]: Simplify i into i
12.211 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
12.211 * [backup-simplify]: Simplify (+ 0 (* 2.0 i)) into (* 2.0 i)
12.211 * [taylor]: Taking taylor expansion of (pow (+ alpha (+ (* 2.0 i) 2.0)) 3) in alpha
12.211 * [taylor]: Taking taylor expansion of (+ alpha (+ (* 2.0 i) 2.0)) in alpha
12.211 * [taylor]: Taking taylor expansion of alpha in alpha
12.211 * [backup-simplify]: Simplify 0 into 0
12.211 * [backup-simplify]: Simplify 1 into 1
12.211 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) 2.0) in alpha
12.211 * [taylor]: Taking taylor expansion of (* 2.0 i) in alpha
12.211 * [taylor]: Taking taylor expansion of 2.0 in alpha
12.211 * [backup-simplify]: Simplify 2.0 into 2.0
12.211 * [taylor]: Taking taylor expansion of i in alpha
12.211 * [backup-simplify]: Simplify i into i
12.211 * [taylor]: Taking taylor expansion of 2.0 in alpha
12.211 * [backup-simplify]: Simplify 2.0 into 2.0
12.211 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
12.212 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
12.212 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 i) 2.0)) into (+ (* 2.0 i) 2.0)
12.212 * [backup-simplify]: Simplify (* i i) into (pow i 2)
12.212 * [backup-simplify]: Simplify (* 0 (pow i 2)) into 0
12.212 * [backup-simplify]: Simplify (+ (* i 0) (* 0 i)) into 0
12.212 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (pow i 2))) into (pow i 2)
12.212 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
12.212 * [backup-simplify]: Simplify (* (* 2.0 i) (* 4.0 (pow i 2))) into (* 8.0 (pow i 3))
12.212 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
12.213 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (pow (+ (* 2.0 i) 2.0) 2)) into (pow (+ (* 2.0 i) 2.0) 3)
12.213 * [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)))
12.213 * [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)))
12.213 * [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
12.213 * [taylor]: Taking taylor expansion of 16.0 in alpha
12.213 * [backup-simplify]: Simplify 16.0 into 16.0
12.213 * [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
12.213 * [taylor]: Taking taylor expansion of (* (pow alpha 2) i) in alpha
12.213 * [taylor]: Taking taylor expansion of (pow alpha 2) in alpha
12.213 * [taylor]: Taking taylor expansion of alpha in alpha
12.213 * [backup-simplify]: Simplify 0 into 0
12.213 * [backup-simplify]: Simplify 1 into 1
12.213 * [taylor]: Taking taylor expansion of i in alpha
12.213 * [backup-simplify]: Simplify i into i
12.213 * [taylor]: Taking taylor expansion of (* (pow (+ alpha (* 2.0 i)) 3) (pow (+ alpha (+ (* 2.0 i) 2.0)) 3)) in alpha
12.213 * [taylor]: Taking taylor expansion of (pow (+ alpha (* 2.0 i)) 3) in alpha
12.213 * [taylor]: Taking taylor expansion of (+ alpha (* 2.0 i)) in alpha
12.213 * [taylor]: Taking taylor expansion of alpha in alpha
12.213 * [backup-simplify]: Simplify 0 into 0
12.213 * [backup-simplify]: Simplify 1 into 1
12.213 * [taylor]: Taking taylor expansion of (* 2.0 i) in alpha
12.213 * [taylor]: Taking taylor expansion of 2.0 in alpha
12.213 * [backup-simplify]: Simplify 2.0 into 2.0
12.213 * [taylor]: Taking taylor expansion of i in alpha
12.213 * [backup-simplify]: Simplify i into i
12.213 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
12.213 * [backup-simplify]: Simplify (+ 0 (* 2.0 i)) into (* 2.0 i)
12.214 * [taylor]: Taking taylor expansion of (pow (+ alpha (+ (* 2.0 i) 2.0)) 3) in alpha
12.214 * [taylor]: Taking taylor expansion of (+ alpha (+ (* 2.0 i) 2.0)) in alpha
12.214 * [taylor]: Taking taylor expansion of alpha in alpha
12.214 * [backup-simplify]: Simplify 0 into 0
12.214 * [backup-simplify]: Simplify 1 into 1
12.214 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) 2.0) in alpha
12.214 * [taylor]: Taking taylor expansion of (* 2.0 i) in alpha
12.214 * [taylor]: Taking taylor expansion of 2.0 in alpha
12.214 * [backup-simplify]: Simplify 2.0 into 2.0
12.214 * [taylor]: Taking taylor expansion of i in alpha
12.214 * [backup-simplify]: Simplify i into i
12.214 * [taylor]: Taking taylor expansion of 2.0 in alpha
12.214 * [backup-simplify]: Simplify 2.0 into 2.0
12.214 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
12.214 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
12.214 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 i) 2.0)) into (+ (* 2.0 i) 2.0)
12.214 * [backup-simplify]: Simplify (* 1 1) into 1
12.214 * [backup-simplify]: Simplify (* 1 i) into i
12.214 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
12.214 * [backup-simplify]: Simplify (* (* 2.0 i) (* 4.0 (pow i 2))) into (* 8.0 (pow i 3))
12.214 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
12.215 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (pow (+ (* 2.0 i) 2.0) 2)) into (pow (+ (* 2.0 i) 2.0) 3)
12.215 * [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)))
12.215 * [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)))
12.215 * [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)))
12.215 * [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)))
12.216 * [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))))
12.216 * [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))))
12.216 * [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)))))
12.217 * [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)))))
12.217 * [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))))))
12.217 * [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
12.217 * [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
12.217 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (* i (pow (+ (* 2.0 i) 2.0) 2)))) in i
12.217 * [taylor]: Taking taylor expansion of 1.0 in i
12.217 * [backup-simplify]: Simplify 1.0 into 1.0
12.217 * [taylor]: Taking taylor expansion of (/ 1 (* i (pow (+ (* 2.0 i) 2.0) 2))) in i
12.217 * [taylor]: Taking taylor expansion of (* i (pow (+ (* 2.0 i) 2.0) 2)) in i
12.217 * [taylor]: Taking taylor expansion of i in i
12.217 * [backup-simplify]: Simplify 0 into 0
12.218 * [backup-simplify]: Simplify 1 into 1
12.218 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) 2.0) 2) in i
12.218 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) 2.0) in i
12.218 * [taylor]: Taking taylor expansion of (* 2.0 i) in i
12.218 * [taylor]: Taking taylor expansion of 2.0 in i
12.218 * [backup-simplify]: Simplify 2.0 into 2.0
12.218 * [taylor]: Taking taylor expansion of i in i
12.218 * [backup-simplify]: Simplify 0 into 0
12.218 * [backup-simplify]: Simplify 1 into 1
12.218 * [taylor]: Taking taylor expansion of 2.0 in i
12.218 * [backup-simplify]: Simplify 2.0 into 2.0
12.218 * [backup-simplify]: Simplify (* 2.0 0) into 0
12.218 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
12.219 * [backup-simplify]: Simplify (* 2.0 2.0) into 4.0
12.219 * [backup-simplify]: Simplify (* 0 4.0) into 0
12.220 * [backup-simplify]: Simplify (+ (* 2.0 1) (* 0 0)) into 2.0
12.220 * [backup-simplify]: Simplify (+ 2.0 0) into 2.0
12.222 * [backup-simplify]: Simplify (+ (* 2.0 2.0) (* 2.0 2.0)) into 8.0
12.223 * [backup-simplify]: Simplify (+ (* 0 8.0) (* 1 4.0)) into 4.0
12.224 * [backup-simplify]: Simplify (/ 1 4.0) into 0.25
12.224 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (* (pow (+ (* 2.0 i) 2.0) 2) (pow i 2)))) in i
12.224 * [taylor]: Taking taylor expansion of 0.5 in i
12.224 * [backup-simplify]: Simplify 0.5 into 0.5
12.224 * [taylor]: Taking taylor expansion of (/ 1 (* (pow (+ (* 2.0 i) 2.0) 2) (pow i 2))) in i
12.224 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) 2.0) 2) (pow i 2)) in i
12.224 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) 2.0) 2) in i
12.224 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) 2.0) in i
12.224 * [taylor]: Taking taylor expansion of (* 2.0 i) in i
12.224 * [taylor]: Taking taylor expansion of 2.0 in i
12.224 * [backup-simplify]: Simplify 2.0 into 2.0
12.224 * [taylor]: Taking taylor expansion of i in i
12.224 * [backup-simplify]: Simplify 0 into 0
12.224 * [backup-simplify]: Simplify 1 into 1
12.224 * [taylor]: Taking taylor expansion of 2.0 in i
12.224 * [backup-simplify]: Simplify 2.0 into 2.0
12.225 * [backup-simplify]: Simplify (* 2.0 0) into 0
12.225 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
12.225 * [taylor]: Taking taylor expansion of (pow i 2) in i
12.225 * [taylor]: Taking taylor expansion of i in i
12.225 * [backup-simplify]: Simplify 0 into 0
12.225 * [backup-simplify]: Simplify 1 into 1
12.226 * [backup-simplify]: Simplify (* 2.0 2.0) into 4.0
12.226 * [backup-simplify]: Simplify (* 1 1) into 1
12.227 * [backup-simplify]: Simplify (* 4.0 1) into 4.0
12.227 * [backup-simplify]: Simplify (/ 1 4.0) into 0.25
12.228 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 1) (* 0 0))) into 0
12.229 * [backup-simplify]: Simplify (+ 0 0) into 0
12.231 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 2.0 2.0) (* 0 2.0))) into 4.0
12.234 * [backup-simplify]: Simplify (+ (* 0 4.0) (+ (* 1 8.0) (* 0 4.0))) into 8.0
12.237 * [backup-simplify]: Simplify (- (+ (* 0.25 (/ 8.0 4.0)))) into (- 0.5)
12.239 * [backup-simplify]: Simplify (+ (* 1.0 (- 0.5)) (* 0 0.25)) into (- 0.5)
12.240 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
12.242 * [backup-simplify]: Simplify (+ (* 2.0 1) (* 0 0)) into 2.0
12.242 * [backup-simplify]: Simplify (+ 2.0 0) into 2.0
12.243 * [backup-simplify]: Simplify (+ (* 2.0 2.0) (* 2.0 2.0)) into 8.0
12.244 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.245 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 1) (* 0 0))) into 0
12.245 * [backup-simplify]: Simplify (+ 0 0) into 0
12.248 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 2.0 2.0) (* 0 2.0))) into 4.0
12.251 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 8.0 0) (* 4.0 1))) into 4.0
12.252 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 8.0 1)) into 8.0
12.254 * [backup-simplify]: Simplify (- (+ (* 0.25 (/ 8.0 4.0)))) into (- 0.5)
12.263 * [backup-simplify]: Simplify (- (+ (* 0.25 (/ 4.0 4.0)) (* (- 0.5) (/ 8.0 4.0)))) into 0.75
12.264 * [backup-simplify]: Simplify (+ (* 0.5 0.75) (+ (* 0 (- 0.5)) (* 0 0.25))) into 0.375
12.265 * [backup-simplify]: Simplify (+ (- 0.5) 0.375) into (- 0.125)
12.265 * [backup-simplify]: Simplify (- (- 0.125)) into 0.125
12.265 * [backup-simplify]: Simplify 0.125 into 0.125
12.266 * [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))
12.267 * [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)))))
12.267 * [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
12.267 * [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
12.267 * [taylor]: Taking taylor expansion of (- (/ 1 beta) (/ 1 alpha)) in i
12.267 * [taylor]: Taking taylor expansion of (/ 1 beta) in i
12.267 * [taylor]: Taking taylor expansion of beta in i
12.267 * [backup-simplify]: Simplify beta into beta
12.267 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
12.267 * [taylor]: Taking taylor expansion of (/ 1 alpha) in i
12.267 * [taylor]: Taking taylor expansion of alpha in i
12.267 * [backup-simplify]: Simplify alpha into alpha
12.267 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
12.267 * [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
12.267 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) in i
12.267 * [taylor]: Taking taylor expansion of (/ 1 alpha) in i
12.267 * [taylor]: Taking taylor expansion of alpha in i
12.267 * [backup-simplify]: Simplify alpha into alpha
12.267 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
12.267 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0)) in i
12.267 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in i
12.267 * [taylor]: Taking taylor expansion of 2.0 in i
12.267 * [backup-simplify]: Simplify 2.0 into 2.0
12.267 * [taylor]: Taking taylor expansion of (/ 1 i) in i
12.267 * [taylor]: Taking taylor expansion of i in i
12.267 * [backup-simplify]: Simplify 0 into 0
12.267 * [backup-simplify]: Simplify 1 into 1
12.267 * [backup-simplify]: Simplify (/ 1 1) into 1
12.267 * [taylor]: Taking taylor expansion of (+ (/ 1 beta) 2.0) in i
12.267 * [taylor]: Taking taylor expansion of (/ 1 beta) in i
12.267 * [taylor]: Taking taylor expansion of beta in i
12.268 * [backup-simplify]: Simplify beta into beta
12.268 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
12.268 * [taylor]: Taking taylor expansion of 2.0 in i
12.268 * [backup-simplify]: Simplify 2.0 into 2.0
12.268 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in i
12.268 * [taylor]: Taking taylor expansion of (/ 1 alpha) in i
12.268 * [taylor]: Taking taylor expansion of alpha in i
12.268 * [backup-simplify]: Simplify alpha into alpha
12.268 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
12.268 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in i
12.268 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in i
12.268 * [taylor]: Taking taylor expansion of 2.0 in i
12.268 * [backup-simplify]: Simplify 2.0 into 2.0
12.268 * [taylor]: Taking taylor expansion of (/ 1 i) in i
12.268 * [taylor]: Taking taylor expansion of i in i
12.268 * [backup-simplify]: Simplify 0 into 0
12.268 * [backup-simplify]: Simplify 1 into 1
12.268 * [backup-simplify]: Simplify (/ 1 1) into 1
12.268 * [taylor]: Taking taylor expansion of (/ 1 beta) in i
12.268 * [taylor]: Taking taylor expansion of beta in i
12.268 * [backup-simplify]: Simplify beta into beta
12.268 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
12.268 * [backup-simplify]: Simplify (- (/ 1 alpha)) into (- (/ 1 alpha))
12.268 * [backup-simplify]: Simplify (+ (/ 1 beta) (- (/ 1 alpha))) into (- (/ 1 beta) (/ 1 alpha))
12.269 * [backup-simplify]: Simplify (* 2.0 1) into 2.0
12.269 * [backup-simplify]: Simplify (+ 2.0 0) into 2.0
12.269 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
12.270 * [backup-simplify]: Simplify (* 2.0 1) into 2.0
12.270 * [backup-simplify]: Simplify (+ 2.0 0) into 2.0
12.270 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
12.270 * [backup-simplify]: Simplify (* 2.0 2.0) into 4.0
12.270 * [backup-simplify]: Simplify (/ (- (/ 1 beta) (/ 1 alpha)) 4.0) into (* 0.25 (- (/ 1 beta) (/ 1 alpha)))
12.270 * [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
12.271 * [taylor]: Taking taylor expansion of (- (/ 1 beta) (/ 1 alpha)) in alpha
12.271 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
12.271 * [taylor]: Taking taylor expansion of beta in alpha
12.271 * [backup-simplify]: Simplify beta into beta
12.271 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
12.271 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
12.271 * [taylor]: Taking taylor expansion of alpha in alpha
12.271 * [backup-simplify]: Simplify 0 into 0
12.271 * [backup-simplify]: Simplify 1 into 1
12.271 * [backup-simplify]: Simplify (/ 1 1) into 1
12.271 * [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
12.271 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) in alpha
12.271 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
12.271 * [taylor]: Taking taylor expansion of alpha in alpha
12.271 * [backup-simplify]: Simplify 0 into 0
12.271 * [backup-simplify]: Simplify 1 into 1
12.271 * [backup-simplify]: Simplify (/ 1 1) into 1
12.271 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0)) in alpha
12.271 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
12.271 * [taylor]: Taking taylor expansion of 2.0 in alpha
12.271 * [backup-simplify]: Simplify 2.0 into 2.0
12.271 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
12.271 * [taylor]: Taking taylor expansion of i in alpha
12.271 * [backup-simplify]: Simplify i into i
12.271 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
12.272 * [taylor]: Taking taylor expansion of (+ (/ 1 beta) 2.0) in alpha
12.272 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
12.272 * [taylor]: Taking taylor expansion of beta in alpha
12.272 * [backup-simplify]: Simplify beta into beta
12.272 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
12.272 * [taylor]: Taking taylor expansion of 2.0 in alpha
12.272 * [backup-simplify]: Simplify 2.0 into 2.0
12.272 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in alpha
12.272 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
12.272 * [taylor]: Taking taylor expansion of alpha in alpha
12.272 * [backup-simplify]: Simplify 0 into 0
12.272 * [backup-simplify]: Simplify 1 into 1
12.272 * [backup-simplify]: Simplify (/ 1 1) into 1
12.272 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in alpha
12.272 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
12.272 * [taylor]: Taking taylor expansion of 2.0 in alpha
12.272 * [backup-simplify]: Simplify 2.0 into 2.0
12.272 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
12.272 * [taylor]: Taking taylor expansion of i in alpha
12.272 * [backup-simplify]: Simplify i into i
12.272 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
12.272 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
12.272 * [taylor]: Taking taylor expansion of beta in alpha
12.272 * [backup-simplify]: Simplify beta into beta
12.272 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
12.272 * [backup-simplify]: Simplify (- 1) into -1
12.273 * [backup-simplify]: Simplify (+ 0 -1) into -1
12.273 * [backup-simplify]: Simplify (+ 1 0) into 1
12.273 * [backup-simplify]: Simplify (+ 1 0) into 1
12.274 * [backup-simplify]: Simplify (* 1 1) into 1
12.274 * [backup-simplify]: Simplify (/ -1 1) into -1
12.274 * [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
12.274 * [taylor]: Taking taylor expansion of (- (/ 1 beta) (/ 1 alpha)) in beta
12.274 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
12.274 * [taylor]: Taking taylor expansion of beta in beta
12.274 * [backup-simplify]: Simplify 0 into 0
12.274 * [backup-simplify]: Simplify 1 into 1
12.274 * [backup-simplify]: Simplify (/ 1 1) into 1
12.274 * [taylor]: Taking taylor expansion of (/ 1 alpha) in beta
12.274 * [taylor]: Taking taylor expansion of alpha in beta
12.274 * [backup-simplify]: Simplify alpha into alpha
12.274 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
12.274 * [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
12.274 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) in beta
12.274 * [taylor]: Taking taylor expansion of (/ 1 alpha) in beta
12.274 * [taylor]: Taking taylor expansion of alpha in beta
12.274 * [backup-simplify]: Simplify alpha into alpha
12.274 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
12.274 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0)) in beta
12.274 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in beta
12.274 * [taylor]: Taking taylor expansion of 2.0 in beta
12.274 * [backup-simplify]: Simplify 2.0 into 2.0
12.274 * [taylor]: Taking taylor expansion of (/ 1 i) in beta
12.274 * [taylor]: Taking taylor expansion of i in beta
12.275 * [backup-simplify]: Simplify i into i
12.275 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
12.275 * [taylor]: Taking taylor expansion of (+ (/ 1 beta) 2.0) in beta
12.275 * [taylor]: Taking taylor expansion of (/ 1 beta) 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 * [backup-simplify]: Simplify (/ 1 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 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in beta
12.275 * [taylor]: Taking taylor expansion of (/ 1 alpha) in beta
12.275 * [taylor]: Taking taylor expansion of alpha in beta
12.275 * [backup-simplify]: Simplify alpha into alpha
12.275 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
12.275 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in beta
12.275 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 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 (/ 1 i) in beta
12.275 * [taylor]: Taking taylor expansion of i in beta
12.275 * [backup-simplify]: Simplify i into i
12.275 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
12.275 * [taylor]: Taking taylor expansion of (/ 1 beta) 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 * [backup-simplify]: Simplify (/ 1 1) into 1
12.276 * [backup-simplify]: Simplify (+ 1 0) into 1
12.276 * [backup-simplify]: Simplify (+ 1 0) into 1
12.276 * [backup-simplify]: Simplify (+ 0 1) into 1
12.277 * [backup-simplify]: Simplify (+ 0 1) into 1
12.277 * [backup-simplify]: Simplify (+ 0 1) into 1
12.277 * [backup-simplify]: Simplify (+ 0 1) into 1
12.277 * [backup-simplify]: Simplify (* 1 1) into 1
12.278 * [backup-simplify]: Simplify (/ 1 1) into 1
12.278 * [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
12.278 * [taylor]: Taking taylor expansion of (- (/ 1 beta) (/ 1 alpha)) in beta
12.278 * [taylor]: Taking taylor expansion of (/ 1 beta) 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 * [backup-simplify]: Simplify (/ 1 1) into 1
12.278 * [taylor]: Taking taylor expansion of (/ 1 alpha) in beta
12.278 * [taylor]: Taking taylor expansion of alpha in beta
12.278 * [backup-simplify]: Simplify alpha into alpha
12.278 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
12.278 * [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
12.278 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) in beta
12.278 * [taylor]: Taking taylor expansion of (/ 1 alpha) in beta
12.278 * [taylor]: Taking taylor expansion of alpha in beta
12.278 * [backup-simplify]: Simplify alpha into alpha
12.278 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
12.278 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0)) in beta
12.278 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 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 (/ 1 i) in beta
12.278 * [taylor]: Taking taylor expansion of i in beta
12.278 * [backup-simplify]: Simplify i into i
12.278 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
12.278 * [taylor]: Taking taylor expansion of (+ (/ 1 beta) 2.0) in beta
12.278 * [taylor]: Taking taylor expansion of (/ 1 beta) 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
12.279 * [backup-simplify]: Simplify (/ 1 1) into 1
12.279 * [taylor]: Taking taylor expansion of 2.0 in beta
12.279 * [backup-simplify]: Simplify 2.0 into 2.0
12.279 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in beta
12.279 * [taylor]: Taking taylor expansion of (/ 1 alpha) in beta
12.279 * [taylor]: Taking taylor expansion of alpha in beta
12.279 * [backup-simplify]: Simplify alpha into alpha
12.279 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
12.279 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in beta
12.279 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in beta
12.279 * [taylor]: Taking taylor expansion of 2.0 in beta
12.279 * [backup-simplify]: Simplify 2.0 into 2.0
12.279 * [taylor]: Taking taylor expansion of (/ 1 i) in beta
12.279 * [taylor]: Taking taylor expansion of i in beta
12.279 * [backup-simplify]: Simplify i into i
12.279 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
12.279 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
12.279 * [taylor]: Taking taylor expansion of beta in beta
12.279 * [backup-simplify]: Simplify 0 into 0
12.279 * [backup-simplify]: Simplify 1 into 1
12.279 * [backup-simplify]: Simplify (/ 1 1) into 1
12.280 * [backup-simplify]: Simplify (+ 1 0) into 1
12.280 * [backup-simplify]: Simplify (+ 1 0) into 1
12.280 * [backup-simplify]: Simplify (+ 0 1) into 1
12.280 * [backup-simplify]: Simplify (+ 0 1) into 1
12.281 * [backup-simplify]: Simplify (+ 0 1) into 1
12.281 * [backup-simplify]: Simplify (+ 0 1) into 1
12.281 * [backup-simplify]: Simplify (* 1 1) into 1
12.281 * [backup-simplify]: Simplify (/ 1 1) into 1
12.281 * [taylor]: Taking taylor expansion of 1 in alpha
12.281 * [backup-simplify]: Simplify 1 into 1
12.282 * [taylor]: Taking taylor expansion of 0 in i
12.282 * [backup-simplify]: Simplify 0 into 0
12.282 * [backup-simplify]: Simplify 0 into 0
12.282 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.282 * [backup-simplify]: Simplify (- (/ 1 alpha)) into (- (/ 1 alpha))
12.282 * [backup-simplify]: Simplify (+ 0 (- (/ 1 alpha))) into (- (/ 1 alpha))
12.282 * [backup-simplify]: Simplify (* 2.0 (/ 1 i)) into (/ 2.0 i)
12.283 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.283 * [backup-simplify]: Simplify (+ (/ 2.0 i) 0) into (* 2.0 (/ 1 i))
12.283 * [backup-simplify]: Simplify (+ (/ 1 alpha) (* 2.0 (/ 1 i))) into (+ (/ 1 alpha) (* 2.0 (/ 1 i)))
12.283 * [backup-simplify]: Simplify (* 2.0 (/ 1 i)) into (/ 2.0 i)
12.283 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.284 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
12.284 * [backup-simplify]: Simplify (+ (/ 2.0 i) 2.0) into (+ (* 2.0 (/ 1 i)) 2.0)
12.284 * [backup-simplify]: Simplify (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) 2.0)) into (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) 2.0))
12.284 * [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))
12.284 * [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)))
12.284 * [taylor]: Taking taylor expansion of (- (+ (* 3 (/ 1 alpha)) (+ (* 4.0 (/ 1 i)) 2.0))) in alpha
12.284 * [taylor]: Taking taylor expansion of (+ (* 3 (/ 1 alpha)) (+ (* 4.0 (/ 1 i)) 2.0)) in alpha
12.285 * [taylor]: Taking taylor expansion of (* 3 (/ 1 alpha)) in alpha
12.285 * [taylor]: Taking taylor expansion of 3 in alpha
12.285 * [backup-simplify]: Simplify 3 into 3
12.285 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
12.285 * [taylor]: Taking taylor expansion of alpha in alpha
12.285 * [backup-simplify]: Simplify 0 into 0
12.285 * [backup-simplify]: Simplify 1 into 1
12.285 * [backup-simplify]: Simplify (/ 1 1) into 1
12.285 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 i)) 2.0) in alpha
12.285 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 i)) in alpha
12.285 * [taylor]: Taking taylor expansion of 4.0 in alpha
12.285 * [backup-simplify]: Simplify 4.0 into 4.0
12.285 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
12.285 * [taylor]: Taking taylor expansion of i in alpha
12.285 * [backup-simplify]: Simplify i into i
12.285 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
12.285 * [taylor]: Taking taylor expansion of 2.0 in alpha
12.285 * [backup-simplify]: Simplify 2.0 into 2.0
12.287 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.288 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.288 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 1))) into 0
12.288 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
12.289 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 i))) into 0
12.289 * [backup-simplify]: Simplify (+ 0 0) into 0
12.289 * [backup-simplify]: Simplify (+ 0 0) into 0
12.289 * [backup-simplify]: Simplify (- 0) into 0
12.289 * [taylor]: Taking taylor expansion of 0 in i
12.289 * [backup-simplify]: Simplify 0 into 0
12.289 * [backup-simplify]: Simplify 0 into 0
12.290 * [taylor]: Taking taylor expansion of 0 in i
12.290 * [backup-simplify]: Simplify 0 into 0
12.290 * [backup-simplify]: Simplify 0 into 0
12.290 * [backup-simplify]: Simplify 0 into 0
12.290 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.290 * [backup-simplify]: Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)))) into 0
12.291 * [backup-simplify]: Simplify (- 0) into 0
12.291 * [backup-simplify]: Simplify (+ 0 0) into 0
12.291 * [backup-simplify]: Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)))) into 0
12.291 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
12.291 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 (/ 1 i))) into 0
12.292 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.292 * [backup-simplify]: Simplify (+ 0 0) into 0
12.292 * [backup-simplify]: Simplify (+ 0 0) into 0
12.292 * [backup-simplify]: Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)))) into 0
12.293 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
12.293 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 (/ 1 i))) into 0
12.293 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.294 * [backup-simplify]: Simplify (+ 0 0) into 0
12.294 * [backup-simplify]: Simplify (+ 0 0) into 0
12.294 * [backup-simplify]: Simplify (+ 0 0) into 0
12.295 * [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))))))
12.297 * [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)))))
12.297 * [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
12.297 * [taylor]: Taking taylor expansion of (* 8.0 (/ 1 alpha)) in alpha
12.297 * [taylor]: Taking taylor expansion of 8.0 in alpha
12.297 * [backup-simplify]: Simplify 8.0 into 8.0
12.297 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
12.297 * [taylor]: Taking taylor expansion of alpha in alpha
12.297 * [backup-simplify]: Simplify 0 into 0
12.297 * [backup-simplify]: Simplify 1 into 1
12.297 * [backup-simplify]: Simplify (/ 1 1) into 1
12.297 * [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
12.297 * [taylor]: Taking taylor expansion of (* 16.0 (/ 1 (* alpha i))) in alpha
12.297 * [taylor]: Taking taylor expansion of 16.0 in alpha
12.297 * [backup-simplify]: Simplify 16.0 into 16.0
12.297 * [taylor]: Taking taylor expansion of (/ 1 (* alpha i)) in alpha
12.297 * [taylor]: Taking taylor expansion of (* alpha i) in alpha
12.297 * [taylor]: Taking taylor expansion of alpha in alpha
12.298 * [backup-simplify]: Simplify 0 into 0
12.298 * [backup-simplify]: Simplify 1 into 1
12.298 * [taylor]: Taking taylor expansion of i in alpha
12.298 * [backup-simplify]: Simplify i into i
12.298 * [backup-simplify]: Simplify (* 0 i) into 0
12.298 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 i)) into i
12.298 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
12.298 * [taylor]: Taking taylor expansion of (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 12.0 (/ 1 i)) (+ (* 5 (/ 1 (pow alpha 2))) 4.0))) in alpha
12.298 * [taylor]: Taking taylor expansion of (* 12.0 (/ 1 (pow i 2))) in alpha
12.298 * [taylor]: Taking taylor expansion of 12.0 in alpha
12.298 * [backup-simplify]: Simplify 12.0 into 12.0
12.298 * [taylor]: Taking taylor expansion of (/ 1 (pow i 2)) in alpha
12.298 * [taylor]: Taking taylor expansion of (pow i 2) in alpha
12.298 * [taylor]: Taking taylor expansion of i in alpha
12.298 * [backup-simplify]: Simplify i into i
12.298 * [backup-simplify]: Simplify (* i i) into (pow i 2)
12.298 * [backup-simplify]: Simplify (/ 1 (pow i 2)) into (/ 1 (pow i 2))
12.298 * [taylor]: Taking taylor expansion of (+ (* 12.0 (/ 1 i)) (+ (* 5 (/ 1 (pow alpha 2))) 4.0)) in alpha
12.298 * [taylor]: Taking taylor expansion of (* 12.0 (/ 1 i)) in alpha
12.298 * [taylor]: Taking taylor expansion of 12.0 in alpha
12.298 * [backup-simplify]: Simplify 12.0 into 12.0
12.298 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
12.298 * [taylor]: Taking taylor expansion of i in alpha
12.298 * [backup-simplify]: Simplify i into i
12.298 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
12.298 * [taylor]: Taking taylor expansion of (+ (* 5 (/ 1 (pow alpha 2))) 4.0) in alpha
12.298 * [taylor]: Taking taylor expansion of (* 5 (/ 1 (pow alpha 2))) in alpha
12.298 * [taylor]: Taking taylor expansion of 5 in alpha
12.298 * [backup-simplify]: Simplify 5 into 5
12.298 * [taylor]: Taking taylor expansion of (/ 1 (pow alpha 2)) in alpha
12.298 * [taylor]: Taking taylor expansion of (pow alpha 2) in alpha
12.298 * [taylor]: Taking taylor expansion of alpha in alpha
12.299 * [backup-simplify]: Simplify 0 into 0
12.299 * [backup-simplify]: Simplify 1 into 1
12.299 * [backup-simplify]: Simplify (* 1 1) into 1
12.299 * [backup-simplify]: Simplify (/ 1 1) into 1
12.299 * [taylor]: Taking taylor expansion of 4.0 in alpha
12.299 * [backup-simplify]: Simplify 4.0 into 4.0
12.300 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.300 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.301 * [backup-simplify]: Simplify (+ (* 8.0 0) (+ (* 0 0) (* 0 1))) into 0
12.301 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 i)))) into 0
12.302 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 i))) into 0
12.302 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
12.302 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)) (* 0 (/ 0 i)))) into 0
12.303 * [backup-simplify]: Simplify (+ (* 16.0 0) (+ (* 0 0) (* 0 (/ 1 i)))) into 0
12.303 * [backup-simplify]: Simplify (+ (* i 0) (* 0 i)) into 0
12.303 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow i 2)) (/ 0 (pow i 2))))) into 0
12.303 * [backup-simplify]: Simplify (+ (* 12.0 0) (* 0 (/ 1 (pow i 2)))) into 0
12.303 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
12.304 * [backup-simplify]: Simplify (+ (* 12.0 0) (* 0 (/ 1 i))) into 0
12.304 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
12.305 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.305 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.306 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
12.306 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.307 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.308 * [backup-simplify]: Simplify (+ (* 5 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
12.308 * [backup-simplify]: Simplify (+ 0 0) into 0
12.308 * [backup-simplify]: Simplify (+ 0 0) into 0
12.309 * [backup-simplify]: Simplify (+ 0 0) into 0
12.309 * [backup-simplify]: Simplify (+ 0 0) into 0
12.310 * [backup-simplify]: Simplify (+ 0 0) into 0
12.310 * [taylor]: Taking taylor expansion of 0 in i
12.310 * [backup-simplify]: Simplify 0 into 0
12.310 * [backup-simplify]: Simplify 0 into 0
12.311 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.312 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
12.312 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)) (* 0 (/ 0 i)))) into 0
12.313 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 (/ 1 i)))) into 0
12.313 * [backup-simplify]: Simplify (+ 0 0) into 0
12.314 * [backup-simplify]: Simplify (+ 0 0) into 0
12.314 * [backup-simplify]: Simplify (- 0) into 0
12.314 * [taylor]: Taking taylor expansion of 0 in i
12.314 * [backup-simplify]: Simplify 0 into 0
12.314 * [backup-simplify]: Simplify 0 into 0
12.314 * [backup-simplify]: Simplify 0 into 0
12.315 * [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))))))
12.315 * [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
12.315 * [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
12.315 * [taylor]: Taking taylor expansion of -1 in i
12.315 * [backup-simplify]: Simplify -1 into -1
12.315 * [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
12.315 * [taylor]: Taking taylor expansion of (- (/ 1 alpha) (/ 1 beta)) in i
12.315 * [taylor]: Taking taylor expansion of (/ 1 alpha) in i
12.315 * [taylor]: Taking taylor expansion of alpha in i
12.315 * [backup-simplify]: Simplify alpha into alpha
12.316 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
12.316 * [taylor]: Taking taylor expansion of (/ 1 beta) in i
12.316 * [taylor]: Taking taylor expansion of beta in i
12.316 * [backup-simplify]: Simplify beta into beta
12.316 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
12.316 * [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
12.316 * [taylor]: Taking taylor expansion of (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) in i
12.316 * [taylor]: Taking taylor expansion of 2.0 in i
12.316 * [backup-simplify]: Simplify 2.0 into 2.0
12.316 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in i
12.316 * [taylor]: Taking taylor expansion of (/ 1 alpha) in i
12.316 * [taylor]: Taking taylor expansion of alpha in i
12.316 * [backup-simplify]: Simplify alpha into alpha
12.316 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
12.316 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in i
12.316 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in i
12.316 * [taylor]: Taking taylor expansion of 2.0 in i
12.316 * [backup-simplify]: Simplify 2.0 into 2.0
12.316 * [taylor]: Taking taylor expansion of (/ 1 i) in i
12.316 * [taylor]: Taking taylor expansion of i in i
12.316 * [backup-simplify]: Simplify 0 into 0
12.316 * [backup-simplify]: Simplify 1 into 1
12.317 * [backup-simplify]: Simplify (/ 1 1) into 1
12.317 * [taylor]: Taking taylor expansion of (/ 1 beta) in i
12.317 * [taylor]: Taking taylor expansion of beta in i
12.317 * [backup-simplify]: Simplify beta into beta
12.317 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
12.317 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in i
12.317 * [taylor]: Taking taylor expansion of (/ 1 alpha) in i
12.317 * [taylor]: Taking taylor expansion of alpha in i
12.317 * [backup-simplify]: Simplify alpha into alpha
12.317 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
12.317 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in i
12.317 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in i
12.317 * [taylor]: Taking taylor expansion of 2.0 in i
12.317 * [backup-simplify]: Simplify 2.0 into 2.0
12.317 * [taylor]: Taking taylor expansion of (/ 1 i) in i
12.317 * [taylor]: Taking taylor expansion of i in i
12.317 * [backup-simplify]: Simplify 0 into 0
12.317 * [backup-simplify]: Simplify 1 into 1
12.318 * [backup-simplify]: Simplify (/ 1 1) into 1
12.318 * [taylor]: Taking taylor expansion of (/ 1 beta) in i
12.318 * [taylor]: Taking taylor expansion of beta in i
12.318 * [backup-simplify]: Simplify beta into beta
12.318 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
12.318 * [backup-simplify]: Simplify (- (/ 1 beta)) into (- (/ 1 beta))
12.318 * [backup-simplify]: Simplify (+ (/ 1 alpha) (- (/ 1 beta))) into (- (/ 1 alpha) (/ 1 beta))
12.319 * [backup-simplify]: Simplify (* 2.0 1) into 2.0
12.319 * [backup-simplify]: Simplify (+ 2.0 0) into 2.0
12.320 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
12.320 * [backup-simplify]: Simplify (- 2.0) into (- 2.0)
12.321 * [backup-simplify]: Simplify (+ 0 (- 2.0)) into (- 2.0)
12.322 * [backup-simplify]: Simplify (* 2.0 1) into 2.0
12.322 * [backup-simplify]: Simplify (+ 2.0 0) into 2.0
12.323 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
12.324 * [backup-simplify]: Simplify (* (- 2.0) 2.0) into -4.0
12.324 * [backup-simplify]: Simplify (/ (- (/ 1 alpha) (/ 1 beta)) -4.0) into (* -0.25 (- (/ 1 alpha) (/ 1 beta)))
12.324 * [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
12.324 * [taylor]: Taking taylor expansion of -1 in alpha
12.324 * [backup-simplify]: Simplify -1 into -1
12.324 * [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
12.324 * [taylor]: Taking taylor expansion of (- (/ 1 alpha) (/ 1 beta)) in alpha
12.324 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
12.324 * [taylor]: Taking taylor expansion of alpha in alpha
12.324 * [backup-simplify]: Simplify 0 into 0
12.324 * [backup-simplify]: Simplify 1 into 1
12.325 * [backup-simplify]: Simplify (/ 1 1) into 1
12.325 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
12.325 * [taylor]: Taking taylor expansion of beta in alpha
12.325 * [backup-simplify]: Simplify beta into beta
12.325 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
12.325 * [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
12.325 * [taylor]: Taking taylor expansion of (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) in alpha
12.325 * [taylor]: Taking taylor expansion of 2.0 in alpha
12.325 * [backup-simplify]: Simplify 2.0 into 2.0
12.325 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in alpha
12.325 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
12.325 * [taylor]: Taking taylor expansion of alpha in alpha
12.325 * [backup-simplify]: Simplify 0 into 0
12.325 * [backup-simplify]: Simplify 1 into 1
12.326 * [backup-simplify]: Simplify (/ 1 1) into 1
12.326 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in alpha
12.326 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
12.326 * [taylor]: Taking taylor expansion of 2.0 in alpha
12.326 * [backup-simplify]: Simplify 2.0 into 2.0
12.326 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
12.326 * [taylor]: Taking taylor expansion of i in alpha
12.326 * [backup-simplify]: Simplify i into i
12.326 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
12.326 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
12.326 * [taylor]: Taking taylor expansion of beta in alpha
12.326 * [backup-simplify]: Simplify beta into beta
12.326 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
12.326 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in alpha
12.326 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
12.326 * [taylor]: Taking taylor expansion of alpha in alpha
12.326 * [backup-simplify]: Simplify 0 into 0
12.326 * [backup-simplify]: Simplify 1 into 1
12.327 * [backup-simplify]: Simplify (/ 1 1) into 1
12.327 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in alpha
12.327 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
12.327 * [taylor]: Taking taylor expansion of 2.0 in alpha
12.327 * [backup-simplify]: Simplify 2.0 into 2.0
12.327 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
12.327 * [taylor]: Taking taylor expansion of i in alpha
12.327 * [backup-simplify]: Simplify i into i
12.327 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
12.327 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
12.327 * [taylor]: Taking taylor expansion of beta in alpha
12.327 * [backup-simplify]: Simplify beta into beta
12.327 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
12.328 * [backup-simplify]: Simplify (+ 1 0) into 1
12.328 * [backup-simplify]: Simplify (+ 1 0) into 1
12.328 * [backup-simplify]: Simplify (- 1) into -1
12.329 * [backup-simplify]: Simplify (+ 0 -1) into -1
12.329 * [backup-simplify]: Simplify (+ 1 0) into 1
12.330 * [backup-simplify]: Simplify (* -1 1) into -1
12.330 * [backup-simplify]: Simplify (/ 1 -1) into -1
12.330 * [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
12.330 * [taylor]: Taking taylor expansion of -1 in beta
12.330 * [backup-simplify]: Simplify -1 into -1
12.330 * [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
12.330 * [taylor]: Taking taylor expansion of (- (/ 1 alpha) (/ 1 beta)) in beta
12.330 * [taylor]: Taking taylor expansion of (/ 1 alpha) in beta
12.330 * [taylor]: Taking taylor expansion of alpha in beta
12.330 * [backup-simplify]: Simplify alpha into alpha
12.331 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
12.331 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
12.331 * [taylor]: Taking taylor expansion of beta in beta
12.331 * [backup-simplify]: Simplify 0 into 0
12.331 * [backup-simplify]: Simplify 1 into 1
12.331 * [backup-simplify]: Simplify (/ 1 1) into 1
12.331 * [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
12.331 * [taylor]: Taking taylor expansion of (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) in beta
12.331 * [taylor]: Taking taylor expansion of 2.0 in beta
12.331 * [backup-simplify]: Simplify 2.0 into 2.0
12.331 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in beta
12.331 * [taylor]: Taking taylor expansion of (/ 1 alpha) in beta
12.332 * [taylor]: Taking taylor expansion of alpha in beta
12.332 * [backup-simplify]: Simplify alpha into alpha
12.332 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
12.332 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in beta
12.332 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in beta
12.332 * [taylor]: Taking taylor expansion of 2.0 in beta
12.332 * [backup-simplify]: Simplify 2.0 into 2.0
12.332 * [taylor]: Taking taylor expansion of (/ 1 i) in beta
12.332 * [taylor]: Taking taylor expansion of i in beta
12.332 * [backup-simplify]: Simplify i into i
12.332 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
12.332 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
12.332 * [taylor]: Taking taylor expansion of beta in beta
12.332 * [backup-simplify]: Simplify 0 into 0
12.332 * [backup-simplify]: Simplify 1 into 1
12.333 * [backup-simplify]: Simplify (/ 1 1) into 1
12.333 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in beta
12.333 * [taylor]: Taking taylor expansion of (/ 1 alpha) in beta
12.333 * [taylor]: Taking taylor expansion of alpha in beta
12.333 * [backup-simplify]: Simplify alpha into alpha
12.333 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
12.333 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in beta
12.333 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in beta
12.333 * [taylor]: Taking taylor expansion of 2.0 in beta
12.333 * [backup-simplify]: Simplify 2.0 into 2.0
12.333 * [taylor]: Taking taylor expansion of (/ 1 i) in beta
12.333 * [taylor]: Taking taylor expansion of i in beta
12.333 * [backup-simplify]: Simplify i into i
12.334 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
12.334 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
12.334 * [taylor]: Taking taylor expansion of beta in beta
12.334 * [backup-simplify]: Simplify 0 into 0
12.334 * [backup-simplify]: Simplify 1 into 1
12.334 * [backup-simplify]: Simplify (/ 1 1) into 1
12.335 * [backup-simplify]: Simplify (- 1) into -1
12.335 * [backup-simplify]: Simplify (+ 0 -1) into -1
12.335 * [backup-simplify]: Simplify (+ 0 1) into 1
12.336 * [backup-simplify]: Simplify (+ 0 1) into 1
12.336 * [backup-simplify]: Simplify (- 1) into -1
12.337 * [backup-simplify]: Simplify (+ 0 -1) into -1
12.337 * [backup-simplify]: Simplify (+ 0 1) into 1
12.338 * [backup-simplify]: Simplify (+ 0 1) into 1
12.338 * [backup-simplify]: Simplify (* -1 1) into -1
12.338 * [backup-simplify]: Simplify (/ -1 -1) into 1
12.338 * [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
12.338 * [taylor]: Taking taylor expansion of -1 in beta
12.338 * [backup-simplify]: Simplify -1 into -1
12.338 * [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
12.339 * [taylor]: Taking taylor expansion of (- (/ 1 alpha) (/ 1 beta)) in beta
12.339 * [taylor]: Taking taylor expansion of (/ 1 alpha) in beta
12.339 * [taylor]: Taking taylor expansion of alpha in beta
12.339 * [backup-simplify]: Simplify alpha into alpha
12.339 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
12.339 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
12.339 * [taylor]: Taking taylor expansion of beta in beta
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 (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) in beta
12.339 * [taylor]: Taking taylor expansion of (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) in beta
12.339 * [taylor]: Taking taylor expansion of 2.0 in beta
12.339 * [backup-simplify]: Simplify 2.0 into 2.0
12.339 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in beta
12.339 * [taylor]: Taking taylor expansion of (/ 1 alpha) in beta
12.339 * [taylor]: Taking taylor expansion of alpha in beta
12.340 * [backup-simplify]: Simplify alpha into alpha
12.340 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
12.340 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in beta
12.340 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in beta
12.340 * [taylor]: Taking taylor expansion of 2.0 in beta
12.340 * [backup-simplify]: Simplify 2.0 into 2.0
12.340 * [taylor]: Taking taylor expansion of (/ 1 i) in beta
12.340 * [taylor]: Taking taylor expansion of i in beta
12.340 * [backup-simplify]: Simplify i into i
12.340 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
12.340 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
12.340 * [taylor]: Taking taylor expansion of beta in beta
12.340 * [backup-simplify]: Simplify 0 into 0
12.340 * [backup-simplify]: Simplify 1 into 1
12.340 * [backup-simplify]: Simplify (/ 1 1) into 1
12.340 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in beta
12.341 * [taylor]: Taking taylor expansion of (/ 1 alpha) in beta
12.341 * [taylor]: Taking taylor expansion of alpha in beta
12.341 * [backup-simplify]: Simplify alpha into alpha
12.341 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
12.341 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in beta
12.341 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in beta
12.341 * [taylor]: Taking taylor expansion of 2.0 in beta
12.341 * [backup-simplify]: Simplify 2.0 into 2.0
12.341 * [taylor]: Taking taylor expansion of (/ 1 i) in beta
12.341 * [taylor]: Taking taylor expansion of i in beta
12.341 * [backup-simplify]: Simplify i into i
12.341 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
12.341 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
12.341 * [taylor]: Taking taylor expansion of beta in beta
12.341 * [backup-simplify]: Simplify 0 into 0
12.341 * [backup-simplify]: Simplify 1 into 1
12.341 * [backup-simplify]: Simplify (/ 1 1) into 1
12.342 * [backup-simplify]: Simplify (- 1) into -1
12.342 * [backup-simplify]: Simplify (+ 0 -1) into -1
12.343 * [backup-simplify]: Simplify (+ 0 1) into 1
12.343 * [backup-simplify]: Simplify (+ 0 1) into 1
12.344 * [backup-simplify]: Simplify (- 1) into -1
12.344 * [backup-simplify]: Simplify (+ 0 -1) into -1
12.344 * [backup-simplify]: Simplify (+ 0 1) into 1
12.345 * [backup-simplify]: Simplify (+ 0 1) into 1
12.345 * [backup-simplify]: Simplify (* -1 1) into -1
12.346 * [backup-simplify]: Simplify (/ -1 -1) into 1
12.346 * [backup-simplify]: Simplify (* -1 1) into -1
12.346 * [taylor]: Taking taylor expansion of -1 in alpha
12.346 * [backup-simplify]: Simplify -1 into -1
12.346 * [taylor]: Taking taylor expansion of 0 in i
12.346 * [backup-simplify]: Simplify 0 into 0
12.346 * [backup-simplify]: Simplify 0 into 0
12.347 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.348 * [backup-simplify]: Simplify (- 0) into 0
12.348 * [backup-simplify]: Simplify (+ (/ 1 alpha) 0) into (/ 1 alpha)
12.348 * [backup-simplify]: Simplify (* 2.0 (/ 1 i)) into (/ 2.0 i)
12.349 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.349 * [backup-simplify]: Simplify (+ (/ 2.0 i) 0) into (* 2.0 (/ 1 i))
12.349 * [backup-simplify]: Simplify (+ (/ 1 alpha) (* 2.0 (/ 1 i))) into (+ (/ 1 alpha) (* 2.0 (/ 1 i)))
12.349 * [backup-simplify]: Simplify (* 2.0 (/ 1 i)) into (/ 2.0 i)
12.350 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.350 * [backup-simplify]: Simplify (+ (/ 2.0 i) 0) into (* 2.0 (/ 1 i))
12.350 * [backup-simplify]: Simplify (+ (/ 1 alpha) (* 2.0 (/ 1 i))) into (+ (/ 1 alpha) (* 2.0 (/ 1 i)))
12.350 * [backup-simplify]: Simplify (- (+ (/ 1 alpha) (* 2.0 (/ 1 i)))) into (- (+ (/ 1 alpha) (* 2.0 (/ 1 i))))
12.350 * [backup-simplify]: Simplify (+ 2.0 (- (+ (/ 1 alpha) (* 2.0 (/ 1 i))))) into (- 2.0 (+ (/ 1 alpha) (* 2.0 (/ 1 i))))
12.351 * [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))))
12.352 * [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))))
12.352 * [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)
12.352 * [taylor]: Taking taylor expansion of (- (+ (* 3 (/ 1 alpha)) (* 4.0 (/ 1 i))) 2.0) in alpha
12.353 * [taylor]: Taking taylor expansion of (+ (* 3 (/ 1 alpha)) (* 4.0 (/ 1 i))) in alpha
12.353 * [taylor]: Taking taylor expansion of (* 3 (/ 1 alpha)) in alpha
12.353 * [taylor]: Taking taylor expansion of 3 in alpha
12.353 * [backup-simplify]: Simplify 3 into 3
12.353 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
12.353 * [taylor]: Taking taylor expansion of alpha in alpha
12.353 * [backup-simplify]: Simplify 0 into 0
12.353 * [backup-simplify]: Simplify 1 into 1
12.353 * [backup-simplify]: Simplify (/ 1 1) into 1
12.353 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 i)) in alpha
12.353 * [taylor]: Taking taylor expansion of 4.0 in alpha
12.353 * [backup-simplify]: Simplify 4.0 into 4.0
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 2.0 in alpha
12.353 * [backup-simplify]: Simplify 2.0 into 2.0
12.354 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.355 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.356 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 1))) into 0
12.356 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
12.357 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 i))) into 0
12.357 * [backup-simplify]: Simplify (+ 0 0) into 0
12.358 * [backup-simplify]: Simplify (- 0) into 0
12.358 * [backup-simplify]: Simplify (+ 0 0) into 0
12.358 * [taylor]: Taking taylor expansion of 0 in i
12.358 * [backup-simplify]: Simplify 0 into 0
12.358 * [backup-simplify]: Simplify 0 into 0
12.358 * [taylor]: Taking taylor expansion of 0 in i
12.358 * [backup-simplify]: Simplify 0 into 0
12.358 * [backup-simplify]: Simplify 0 into 0
12.358 * [backup-simplify]: Simplify 0 into 0
12.359 * [backup-simplify]: Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)))) into 0
12.359 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.360 * [backup-simplify]: Simplify (- 0) into 0
12.360 * [backup-simplify]: Simplify (+ 0 0) into 0
12.360 * [backup-simplify]: Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)))) into 0
12.361 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
12.361 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 (/ 1 i))) into 0
12.362 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.362 * [backup-simplify]: Simplify (+ 0 0) into 0
12.363 * [backup-simplify]: Simplify (+ 0 0) into 0
12.363 * [backup-simplify]: Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)))) into 0
12.363 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
12.364 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 (/ 1 i))) into 0
12.364 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.365 * [backup-simplify]: Simplify (+ 0 0) into 0
12.365 * [backup-simplify]: Simplify (+ 0 0) into 0
12.366 * [backup-simplify]: Simplify (- 0) into 0
12.366 * [backup-simplify]: Simplify (+ 0 0) into 0
12.368 * [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)))))
12.370 * [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))))
12.373 * [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))))
12.373 * [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
12.373 * [taylor]: Taking taylor expansion of (+ (* 8.0 (/ 1 alpha)) (* 12.0 (/ 1 i))) in alpha
12.373 * [taylor]: Taking taylor expansion of (* 8.0 (/ 1 alpha)) in alpha
12.373 * [taylor]: Taking taylor expansion of 8.0 in alpha
12.373 * [backup-simplify]: Simplify 8.0 into 8.0
12.373 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
12.373 * [taylor]: Taking taylor expansion of alpha in alpha
12.373 * [backup-simplify]: Simplify 0 into 0
12.373 * [backup-simplify]: Simplify 1 into 1
12.373 * [backup-simplify]: Simplify (/ 1 1) into 1
12.374 * [taylor]: Taking taylor expansion of (* 12.0 (/ 1 i)) in alpha
12.374 * [taylor]: Taking taylor expansion of 12.0 in alpha
12.374 * [backup-simplify]: Simplify 12.0 into 12.0
12.374 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
12.374 * [taylor]: Taking taylor expansion of i in alpha
12.374 * [backup-simplify]: Simplify i into i
12.374 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
12.374 * [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
12.374 * [taylor]: Taking taylor expansion of (* 16.0 (/ 1 (* alpha i))) in alpha
12.374 * [taylor]: Taking taylor expansion of 16.0 in alpha
12.374 * [backup-simplify]: Simplify 16.0 into 16.0
12.374 * [taylor]: Taking taylor expansion of (/ 1 (* alpha i)) in alpha
12.374 * [taylor]: Taking taylor expansion of (* alpha i) in alpha
12.374 * [taylor]: Taking taylor expansion of alpha in alpha
12.374 * [backup-simplify]: Simplify 0 into 0
12.374 * [backup-simplify]: Simplify 1 into 1
12.374 * [taylor]: Taking taylor expansion of i in alpha
12.374 * [backup-simplify]: Simplify i into i
12.374 * [backup-simplify]: Simplify (* 0 i) into 0
12.375 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 i)) into i
12.375 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
12.375 * [taylor]: Taking taylor expansion of (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 5 (/ 1 (pow alpha 2))) 4.0)) in alpha
12.375 * [taylor]: Taking taylor expansion of (* 12.0 (/ 1 (pow i 2))) in alpha
12.375 * [taylor]: Taking taylor expansion of 12.0 in alpha
12.375 * [backup-simplify]: Simplify 12.0 into 12.0
12.375 * [taylor]: Taking taylor expansion of (/ 1 (pow i 2)) in alpha
12.375 * [taylor]: Taking taylor expansion of (pow i 2) in alpha
12.375 * [taylor]: Taking taylor expansion of i in alpha
12.375 * [backup-simplify]: Simplify i into i
12.375 * [backup-simplify]: Simplify (* i i) into (pow i 2)
12.375 * [backup-simplify]: Simplify (/ 1 (pow i 2)) into (/ 1 (pow i 2))
12.375 * [taylor]: Taking taylor expansion of (+ (* 5 (/ 1 (pow alpha 2))) 4.0) in alpha
12.375 * [taylor]: Taking taylor expansion of (* 5 (/ 1 (pow alpha 2))) in alpha
12.375 * [taylor]: Taking taylor expansion of 5 in alpha
12.375 * [backup-simplify]: Simplify 5 into 5
12.375 * [taylor]: Taking taylor expansion of (/ 1 (pow alpha 2)) in alpha
12.375 * [taylor]: Taking taylor expansion of (pow alpha 2) in alpha
12.375 * [taylor]: Taking taylor expansion of alpha in alpha
12.376 * [backup-simplify]: Simplify 0 into 0
12.376 * [backup-simplify]: Simplify 1 into 1
12.376 * [backup-simplify]: Simplify (* 1 1) into 1
12.376 * [backup-simplify]: Simplify (/ 1 1) into 1
12.376 * [taylor]: Taking taylor expansion of 4.0 in alpha
12.376 * [backup-simplify]: Simplify 4.0 into 4.0
12.377 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.378 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.379 * [backup-simplify]: Simplify (+ (* 8.0 0) (+ (* 0 0) (* 0 1))) into 0
12.379 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
12.380 * [backup-simplify]: Simplify (+ (* 12.0 0) (* 0 (/ 1 i))) into 0
12.380 * [backup-simplify]: Simplify (+ 0 0) into 0
12.382 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 i)))) into 0
12.383 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 i))) into 0
12.383 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
12.383 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)) (* 0 (/ 0 i)))) into 0
12.384 * [backup-simplify]: Simplify (+ (* 16.0 0) (+ (* 0 0) (* 0 (/ 1 i)))) into 0
12.384 * [backup-simplify]: Simplify (+ (* i 0) (* 0 i)) into 0
12.384 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow i 2)) (/ 0 (pow i 2))))) into 0
12.385 * [backup-simplify]: Simplify (+ (* 12.0 0) (* 0 (/ 1 (pow i 2)))) into 0
12.386 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
12.387 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.388 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.388 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
12.390 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.391 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.399 * [backup-simplify]: Simplify (+ (* 5 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
12.399 * [backup-simplify]: Simplify (+ 0 0) into 0
12.400 * [backup-simplify]: Simplify (+ 0 0) into 0
12.400 * [backup-simplify]: Simplify (+ 0 0) into 0
12.401 * [backup-simplify]: Simplify (- 0) into 0
12.401 * [backup-simplify]: Simplify (+ 0 0) into 0
12.401 * [taylor]: Taking taylor expansion of 0 in i
12.401 * [backup-simplify]: Simplify 0 into 0
12.401 * [backup-simplify]: Simplify 0 into 0
12.402 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.403 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
12.404 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)) (* 0 (/ 0 i)))) into 0
12.405 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 (/ 1 i)))) into 0
12.405 * [backup-simplify]: Simplify (+ 0 0) into 0
12.405 * [backup-simplify]: Simplify (- 0) into 0
12.406 * [backup-simplify]: Simplify (+ 0 0) into 0
12.406 * [taylor]: Taking taylor expansion of 0 in i
12.406 * [backup-simplify]: Simplify 0 into 0
12.406 * [backup-simplify]: Simplify 0 into 0
12.406 * [backup-simplify]: Simplify 0 into 0
12.406 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2 1 2 1)
12.406 * [backup-simplify]: Simplify (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) into (/ (- beta alpha) (+ alpha (+ (* 2.0 i) beta)))
12.406 * [approximate]: Taking taylor expansion of (/ (- beta alpha) (+ alpha (+ (* 2.0 i) beta))) in (beta alpha i) around 0
12.406 * [taylor]: Taking taylor expansion of (/ (- beta alpha) (+ alpha (+ (* 2.0 i) beta))) in i
12.406 * [taylor]: Taking taylor expansion of (- beta alpha) in i
12.407 * [taylor]: Taking taylor expansion of beta in i
12.407 * [backup-simplify]: Simplify beta into beta
12.407 * [taylor]: Taking taylor expansion of alpha in i
12.407 * [backup-simplify]: Simplify alpha into alpha
12.407 * [taylor]: Taking taylor expansion of (+ alpha (+ (* 2.0 i) beta)) in i
12.407 * [taylor]: Taking taylor expansion of alpha in i
12.407 * [backup-simplify]: Simplify alpha into alpha
12.407 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in i
12.407 * [taylor]: Taking taylor expansion of (* 2.0 i) in i
12.407 * [taylor]: Taking taylor expansion of 2.0 in i
12.407 * [backup-simplify]: Simplify 2.0 into 2.0
12.407 * [taylor]: Taking taylor expansion of i in i
12.407 * [backup-simplify]: Simplify 0 into 0
12.407 * [backup-simplify]: Simplify 1 into 1
12.407 * [taylor]: Taking taylor expansion of beta in i
12.407 * [backup-simplify]: Simplify beta into beta
12.407 * [backup-simplify]: Simplify (- alpha) into (- alpha)
12.407 * [backup-simplify]: Simplify (+ beta (- alpha)) into (- beta alpha)
12.408 * [backup-simplify]: Simplify (* 2.0 0) into 0
12.408 * [backup-simplify]: Simplify (+ 0 beta) into beta
12.408 * [backup-simplify]: Simplify (+ alpha beta) into (+ alpha beta)
12.408 * [backup-simplify]: Simplify (/ (- beta alpha) (+ alpha beta)) into (/ (- beta alpha) (+ alpha beta))
12.408 * [taylor]: Taking taylor expansion of (/ (- beta alpha) (+ alpha (+ (* 2.0 i) beta))) in alpha
12.408 * [taylor]: Taking taylor expansion of (- beta alpha) in alpha
12.408 * [taylor]: Taking taylor expansion of beta in alpha
12.408 * [backup-simplify]: Simplify beta into beta
12.408 * [taylor]: Taking taylor expansion of alpha in alpha
12.408 * [backup-simplify]: Simplify 0 into 0
12.408 * [backup-simplify]: Simplify 1 into 1
12.408 * [taylor]: Taking taylor expansion of (+ alpha (+ (* 2.0 i) beta)) in alpha
12.408 * [taylor]: Taking taylor expansion of alpha in alpha
12.408 * [backup-simplify]: Simplify 0 into 0
12.408 * [backup-simplify]: Simplify 1 into 1
12.408 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in alpha
12.408 * [taylor]: Taking taylor expansion of (* 2.0 i) in alpha
12.408 * [taylor]: Taking taylor expansion of 2.0 in alpha
12.408 * [backup-simplify]: Simplify 2.0 into 2.0
12.408 * [taylor]: Taking taylor expansion of i in alpha
12.408 * [backup-simplify]: Simplify i into i
12.408 * [taylor]: Taking taylor expansion of beta in alpha
12.408 * [backup-simplify]: Simplify beta into beta
12.409 * [backup-simplify]: Simplify (- 0) into 0
12.409 * [backup-simplify]: Simplify (+ beta 0) into beta
12.409 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
12.409 * [backup-simplify]: Simplify (+ (* 2.0 i) beta) into (+ (* 2.0 i) beta)
12.409 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 i) beta)) into (+ (* 2.0 i) beta)
12.409 * [backup-simplify]: Simplify (/ beta (+ (* 2.0 i) beta)) into (/ beta (+ (* 2.0 i) beta))
12.409 * [taylor]: Taking taylor expansion of (/ (- beta alpha) (+ alpha (+ (* 2.0 i) beta))) in beta
12.409 * [taylor]: Taking taylor expansion of (- beta alpha) in beta
12.409 * [taylor]: Taking taylor expansion of beta in beta
12.409 * [backup-simplify]: Simplify 0 into 0
12.410 * [backup-simplify]: Simplify 1 into 1
12.410 * [taylor]: Taking taylor expansion of alpha in beta
12.410 * [backup-simplify]: Simplify alpha into alpha
12.410 * [taylor]: Taking taylor expansion of (+ alpha (+ (* 2.0 i) beta)) in beta
12.410 * [taylor]: Taking taylor expansion of alpha in beta
12.410 * [backup-simplify]: Simplify alpha into alpha
12.410 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
12.410 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
12.410 * [taylor]: Taking taylor expansion of 2.0 in beta
12.410 * [backup-simplify]: Simplify 2.0 into 2.0
12.410 * [taylor]: Taking taylor expansion of i in beta
12.410 * [backup-simplify]: Simplify i into i
12.410 * [taylor]: Taking taylor expansion of beta in beta
12.410 * [backup-simplify]: Simplify 0 into 0
12.410 * [backup-simplify]: Simplify 1 into 1
12.410 * [backup-simplify]: Simplify (- alpha) into (- alpha)
12.410 * [backup-simplify]: Simplify (+ 0 (- alpha)) into (- alpha)
12.410 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
12.410 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
12.410 * [backup-simplify]: Simplify (+ alpha (* 2.0 i)) into (+ alpha (* 2.0 i))
12.410 * [backup-simplify]: Simplify (/ (- alpha) (+ alpha (* 2.0 i))) into (* -1 (/ alpha (+ alpha (* 2.0 i))))
12.411 * [taylor]: Taking taylor expansion of (/ (- beta alpha) (+ alpha (+ (* 2.0 i) beta))) in beta
12.411 * [taylor]: Taking taylor expansion of (- beta alpha) in beta
12.411 * [taylor]: Taking taylor expansion of beta in beta
12.411 * [backup-simplify]: Simplify 0 into 0
12.411 * [backup-simplify]: Simplify 1 into 1
12.411 * [taylor]: Taking taylor expansion of alpha in beta
12.411 * [backup-simplify]: Simplify alpha into alpha
12.411 * [taylor]: Taking taylor expansion of (+ alpha (+ (* 2.0 i) beta)) in beta
12.411 * [taylor]: Taking taylor expansion of alpha in beta
12.411 * [backup-simplify]: Simplify alpha into alpha
12.411 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
12.411 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
12.411 * [taylor]: Taking taylor expansion of 2.0 in beta
12.411 * [backup-simplify]: Simplify 2.0 into 2.0
12.411 * [taylor]: Taking taylor expansion of i in beta
12.411 * [backup-simplify]: Simplify i into i
12.411 * [taylor]: Taking taylor expansion of beta in beta
12.411 * [backup-simplify]: Simplify 0 into 0
12.411 * [backup-simplify]: Simplify 1 into 1
12.411 * [backup-simplify]: Simplify (- alpha) into (- alpha)
12.411 * [backup-simplify]: Simplify (+ 0 (- alpha)) into (- alpha)
12.411 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
12.411 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
12.411 * [backup-simplify]: Simplify (+ alpha (* 2.0 i)) into (+ alpha (* 2.0 i))
12.412 * [backup-simplify]: Simplify (/ (- alpha) (+ alpha (* 2.0 i))) into (* -1 (/ alpha (+ alpha (* 2.0 i))))
12.412 * [taylor]: Taking taylor expansion of (* -1 (/ alpha (+ alpha (* 2.0 i)))) in alpha
12.412 * [taylor]: Taking taylor expansion of -1 in alpha
12.412 * [backup-simplify]: Simplify -1 into -1
12.412 * [taylor]: Taking taylor expansion of (/ alpha (+ alpha (* 2.0 i))) 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 * [taylor]: Taking taylor expansion of (+ alpha (* 2.0 i)) 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 * [taylor]: Taking taylor expansion of (* 2.0 i) in alpha
12.412 * [taylor]: Taking taylor expansion of 2.0 in alpha
12.412 * [backup-simplify]: Simplify 2.0 into 2.0
12.412 * [taylor]: Taking taylor expansion of i in alpha
12.412 * [backup-simplify]: Simplify i into i
12.412 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
12.412 * [backup-simplify]: Simplify (+ 0 (* 2.0 i)) into (* 2.0 i)
12.412 * [backup-simplify]: Simplify (/ 1 (* 2.0 i)) into (/ 0.5 i)
12.413 * [backup-simplify]: Simplify (- 0) into 0
12.413 * [backup-simplify]: Simplify (+ 1 0) into 1
12.414 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 i)) into 0
12.414 * [backup-simplify]: Simplify (+ 0 1) into 1
12.415 * [backup-simplify]: Simplify (+ 0 1) into 1
12.415 * [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)))
12.415 * [taylor]: Taking taylor expansion of (+ (/ 1 (+ alpha (* 2.0 i))) (/ alpha (pow (+ alpha (* 2.0 i)) 2))) in alpha
12.415 * [taylor]: Taking taylor expansion of (/ 1 (+ alpha (* 2.0 i))) in alpha
12.416 * [taylor]: Taking taylor expansion of (+ alpha (* 2.0 i)) in alpha
12.416 * [taylor]: Taking taylor expansion of alpha in alpha
12.416 * [backup-simplify]: Simplify 0 into 0
12.416 * [backup-simplify]: Simplify 1 into 1
12.416 * [taylor]: Taking taylor expansion of (* 2.0 i) in alpha
12.416 * [taylor]: Taking taylor expansion of 2.0 in alpha
12.416 * [backup-simplify]: Simplify 2.0 into 2.0
12.416 * [taylor]: Taking taylor expansion of i in alpha
12.416 * [backup-simplify]: Simplify i into i
12.416 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
12.416 * [backup-simplify]: Simplify (+ 0 (* 2.0 i)) into (* 2.0 i)
12.416 * [backup-simplify]: Simplify (/ 1 (* 2.0 i)) into (/ 0.5 i)
12.416 * [taylor]: Taking taylor expansion of (/ alpha (pow (+ alpha (* 2.0 i)) 2)) in alpha
12.416 * [taylor]: Taking taylor expansion of alpha in alpha
12.416 * [backup-simplify]: Simplify 0 into 0
12.416 * [backup-simplify]: Simplify 1 into 1
12.416 * [taylor]: Taking taylor expansion of (pow (+ alpha (* 2.0 i)) 2) in alpha
12.416 * [taylor]: Taking taylor expansion of (+ alpha (* 2.0 i)) in alpha
12.416 * [taylor]: Taking taylor expansion of alpha in alpha
12.416 * [backup-simplify]: Simplify 0 into 0
12.416 * [backup-simplify]: Simplify 1 into 1
12.416 * [taylor]: Taking taylor expansion of (* 2.0 i) in alpha
12.416 * [taylor]: Taking taylor expansion of 2.0 in alpha
12.416 * [backup-simplify]: Simplify 2.0 into 2.0
12.416 * [taylor]: Taking taylor expansion of i in alpha
12.416 * [backup-simplify]: Simplify i into i
12.417 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
12.417 * [backup-simplify]: Simplify (+ 0 (* 2.0 i)) into (* 2.0 i)
12.417 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
12.417 * [backup-simplify]: Simplify (/ 1 (* 4.0 (pow i 2))) into (/ 0.25 (pow i 2))
12.417 * [backup-simplify]: Simplify (+ (/ 0.5 i) 0) into (* 0.5 (/ 1 i))
12.417 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 i)) in i
12.417 * [taylor]: Taking taylor expansion of 0.5 in i
12.417 * [backup-simplify]: Simplify 0.5 into 0.5
12.417 * [taylor]: Taking taylor expansion of (/ 1 i) in i
12.417 * [taylor]: Taking taylor expansion of i in i
12.417 * [backup-simplify]: Simplify 0 into 0
12.417 * [backup-simplify]: Simplify 1 into 1
12.418 * [backup-simplify]: Simplify (/ 1 1) into 1
12.419 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.419 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0
12.419 * [backup-simplify]: Simplify 0 into 0
12.419 * [backup-simplify]: Simplify (* -1 (/ 0.5 i)) into (/ -0.5 i)
12.419 * [taylor]: Taking taylor expansion of (/ -0.5 i) in i
12.419 * [taylor]: Taking taylor expansion of -0.5 in i
12.420 * [backup-simplify]: Simplify -0.5 into -0.5
12.420 * [taylor]: Taking taylor expansion of i in i
12.420 * [backup-simplify]: Simplify 0 into 0
12.420 * [backup-simplify]: Simplify 1 into 1
12.420 * [backup-simplify]: Simplify (/ -0.5 1) into -0.5
12.420 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -0.5 (/ 0 1)))) into 0
12.420 * [backup-simplify]: Simplify 0 into 0
12.421 * [backup-simplify]: Simplify (- 0) into 0
12.421 * [backup-simplify]: Simplify (+ 0 0) into 0
12.421 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 i))) into 0
12.422 * [backup-simplify]: Simplify (+ 0 0) into 0
12.422 * [backup-simplify]: Simplify (+ 0 0) into 0
12.422 * [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))))
12.423 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow (+ alpha (* 2.0 i)) 2)) (/ alpha (pow (+ alpha (* 2.0 i)) 3)))) in alpha
12.423 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow (+ alpha (* 2.0 i)) 2)) (/ alpha (pow (+ alpha (* 2.0 i)) 3))) in alpha
12.423 * [taylor]: Taking taylor expansion of (/ 1 (pow (+ alpha (* 2.0 i)) 2)) in alpha
12.423 * [taylor]: Taking taylor expansion of (pow (+ alpha (* 2.0 i)) 2) in alpha
12.423 * [taylor]: Taking taylor expansion of (+ alpha (* 2.0 i)) in alpha
12.423 * [taylor]: Taking taylor expansion of alpha in alpha
12.423 * [backup-simplify]: Simplify 0 into 0
12.423 * [backup-simplify]: Simplify 1 into 1
12.423 * [taylor]: Taking taylor expansion of (* 2.0 i) in alpha
12.423 * [taylor]: Taking taylor expansion of 2.0 in alpha
12.423 * [backup-simplify]: Simplify 2.0 into 2.0
12.423 * [taylor]: Taking taylor expansion of i in alpha
12.423 * [backup-simplify]: Simplify i into i
12.423 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
12.423 * [backup-simplify]: Simplify (+ 0 (* 2.0 i)) into (* 2.0 i)
12.423 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
12.423 * [backup-simplify]: Simplify (/ 1 (* 4.0 (pow i 2))) into (/ 0.25 (pow i 2))
12.423 * [taylor]: Taking taylor expansion of (/ alpha (pow (+ alpha (* 2.0 i)) 3)) in alpha
12.423 * [taylor]: Taking taylor expansion of alpha in alpha
12.423 * [backup-simplify]: Simplify 0 into 0
12.423 * [backup-simplify]: Simplify 1 into 1
12.423 * [taylor]: Taking taylor expansion of (pow (+ alpha (* 2.0 i)) 3) in alpha
12.423 * [taylor]: Taking taylor expansion of (+ alpha (* 2.0 i)) in alpha
12.423 * [taylor]: Taking taylor expansion of alpha in alpha
12.423 * [backup-simplify]: Simplify 0 into 0
12.423 * [backup-simplify]: Simplify 1 into 1
12.423 * [taylor]: Taking taylor expansion of (* 2.0 i) in alpha
12.423 * [taylor]: Taking taylor expansion of 2.0 in alpha
12.423 * [backup-simplify]: Simplify 2.0 into 2.0
12.423 * [taylor]: Taking taylor expansion of i in alpha
12.423 * [backup-simplify]: Simplify i into i
12.423 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
12.423 * [backup-simplify]: Simplify (+ 0 (* 2.0 i)) into (* 2.0 i)
12.423 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
12.424 * [backup-simplify]: Simplify (* (* 2.0 i) (* 4.0 (pow i 2))) into (* 8.0 (pow i 3))
12.424 * [backup-simplify]: Simplify (/ 1 (* 8.0 (pow i 3))) into (/ 0.125 (pow i 3))
12.424 * [backup-simplify]: Simplify (+ (/ 0.25 (pow i 2)) 0) into (* 0.25 (/ 1 (pow i 2)))
12.424 * [backup-simplify]: Simplify (- (* 0.25 (/ 1 (pow i 2)))) into (- (* 0.25 (/ 1 (pow i 2))))
12.424 * [taylor]: Taking taylor expansion of (- (* 0.25 (/ 1 (pow i 2)))) in i
12.424 * [taylor]: Taking taylor expansion of (* 0.25 (/ 1 (pow i 2))) in i
12.424 * [taylor]: Taking taylor expansion of 0.25 in i
12.424 * [backup-simplify]: Simplify 0.25 into 0.25
12.424 * [taylor]: Taking taylor expansion of (/ 1 (pow i 2)) in i
12.424 * [taylor]: Taking taylor expansion of (pow i 2) in i
12.424 * [taylor]: Taking taylor expansion of i in i
12.424 * [backup-simplify]: Simplify 0 into 0
12.424 * [backup-simplify]: Simplify 1 into 1
12.424 * [backup-simplify]: Simplify (* 1 1) into 1
12.425 * [backup-simplify]: Simplify (/ 1 1) into 1
12.425 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
12.425 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.426 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.426 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.427 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 0) (* 0 1))) into 0
12.427 * [backup-simplify]: Simplify (- 0) into 0
12.427 * [backup-simplify]: Simplify 0 into 0
12.428 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 i)) into 0
12.428 * [backup-simplify]: Simplify (+ 1 0) into 1
12.428 * [backup-simplify]: Simplify (- (+ (* (/ 0.5 i) (/ 1 (* 2.0 i))))) into (- (* 0.25 (/ 1 (pow i 2))))
12.428 * [backup-simplify]: Simplify (+ (- (* 0.25 (/ 1 (pow i 2)))) (/ 0.25 (pow i 2))) into 0
12.428 * [taylor]: Taking taylor expansion of 0 in i
12.428 * [backup-simplify]: Simplify 0 into 0
12.428 * [backup-simplify]: Simplify 0 into 0
12.429 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 i)) into 0
12.429 * [backup-simplify]: Simplify (+ 1 0) into 1
12.429 * [backup-simplify]: Simplify (- (/ 0 (* 2.0 i)) (+ (* (/ 0.5 i) (/ 1 (* 2.0 i))))) into (- (* 0.25 (/ 1 (pow i 2))))
12.429 * [backup-simplify]: Simplify (+ (* -1 (- (* 0.25 (/ 1 (pow i 2))))) (* 0 (/ 0.5 i))) into (* 0.25 (/ 1 (pow i 2)))
12.429 * [taylor]: Taking taylor expansion of (* 0.25 (/ 1 (pow i 2))) in i
12.429 * [taylor]: Taking taylor expansion of 0.25 in i
12.429 * [backup-simplify]: Simplify 0.25 into 0.25
12.429 * [taylor]: Taking taylor expansion of (/ 1 (pow i 2)) in i
12.429 * [taylor]: Taking taylor expansion of (pow i 2) in i
12.429 * [taylor]: Taking taylor expansion of i in i
12.429 * [backup-simplify]: Simplify 0 into 0
12.429 * [backup-simplify]: Simplify 1 into 1
12.430 * [backup-simplify]: Simplify (* 1 1) into 1
12.430 * [backup-simplify]: Simplify (/ 1 1) into 1
12.431 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
12.431 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.431 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.432 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.433 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 0) (* 0 1))) into 0
12.433 * [backup-simplify]: Simplify 0 into 0
12.433 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.434 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 1))) into 0
12.434 * [backup-simplify]: Simplify 0 into 0
12.434 * [backup-simplify]: Simplify 0 into 0
12.434 * [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))))
12.434 * [approximate]: Taking taylor expansion of (/ (- (/ 1 beta) (/ 1 alpha)) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) in (beta alpha i) around 0
12.434 * [taylor]: Taking taylor expansion of (/ (- (/ 1 beta) (/ 1 alpha)) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) in i
12.434 * [taylor]: Taking taylor expansion of (- (/ 1 beta) (/ 1 alpha)) in i
12.434 * [taylor]: Taking taylor expansion of (/ 1 beta) in i
12.434 * [taylor]: Taking taylor expansion of beta in i
12.434 * [backup-simplify]: Simplify beta into beta
12.434 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
12.434 * [taylor]: Taking taylor expansion of (/ 1 alpha) in i
12.434 * [taylor]: Taking taylor expansion of alpha in i
12.434 * [backup-simplify]: Simplify alpha into alpha
12.434 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
12.434 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in i
12.434 * [taylor]: Taking taylor expansion of (/ 1 alpha) in i
12.434 * [taylor]: Taking taylor expansion of alpha in i
12.434 * [backup-simplify]: Simplify alpha into alpha
12.434 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
12.434 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in i
12.434 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in i
12.434 * [taylor]: Taking taylor expansion of 2.0 in i
12.434 * [backup-simplify]: Simplify 2.0 into 2.0
12.434 * [taylor]: Taking taylor expansion of (/ 1 i) in i
12.434 * [taylor]: Taking taylor expansion of i in i
12.434 * [backup-simplify]: Simplify 0 into 0
12.434 * [backup-simplify]: Simplify 1 into 1
12.435 * [backup-simplify]: Simplify (/ 1 1) into 1
12.435 * [taylor]: Taking taylor expansion of (/ 1 beta) in i
12.435 * [taylor]: Taking taylor expansion of beta in i
12.435 * [backup-simplify]: Simplify beta into beta
12.435 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
12.435 * [backup-simplify]: Simplify (- (/ 1 alpha)) into (- (/ 1 alpha))
12.435 * [backup-simplify]: Simplify (+ (/ 1 beta) (- (/ 1 alpha))) into (- (/ 1 beta) (/ 1 alpha))
12.435 * [backup-simplify]: Simplify (* 2.0 1) into 2.0
12.436 * [backup-simplify]: Simplify (+ 2.0 0) into 2.0
12.436 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
12.436 * [backup-simplify]: Simplify (/ (- (/ 1 beta) (/ 1 alpha)) 2.0) into (* 0.5 (- (/ 1 beta) (/ 1 alpha)))
12.436 * [taylor]: Taking taylor expansion of (/ (- (/ 1 beta) (/ 1 alpha)) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) in alpha
12.436 * [taylor]: Taking taylor expansion of (- (/ 1 beta) (/ 1 alpha)) in alpha
12.436 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
12.436 * [taylor]: Taking taylor expansion of beta in alpha
12.436 * [backup-simplify]: Simplify beta into beta
12.436 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
12.436 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
12.436 * [taylor]: Taking taylor expansion of alpha in alpha
12.436 * [backup-simplify]: Simplify 0 into 0
12.436 * [backup-simplify]: Simplify 1 into 1
12.436 * [backup-simplify]: Simplify (/ 1 1) into 1
12.436 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in alpha
12.436 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
12.437 * [taylor]: Taking taylor expansion of alpha in alpha
12.437 * [backup-simplify]: Simplify 0 into 0
12.437 * [backup-simplify]: Simplify 1 into 1
12.437 * [backup-simplify]: Simplify (/ 1 1) into 1
12.437 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in alpha
12.437 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
12.437 * [taylor]: Taking taylor expansion of 2.0 in alpha
12.437 * [backup-simplify]: Simplify 2.0 into 2.0
12.437 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
12.437 * [taylor]: Taking taylor expansion of i in alpha
12.437 * [backup-simplify]: Simplify i into i
12.437 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
12.437 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
12.437 * [taylor]: Taking taylor expansion of beta in alpha
12.437 * [backup-simplify]: Simplify beta into beta
12.437 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
12.437 * [backup-simplify]: Simplify (- 1) into -1
12.438 * [backup-simplify]: Simplify (+ 0 -1) into -1
12.438 * [backup-simplify]: Simplify (+ 1 0) into 1
12.438 * [backup-simplify]: Simplify (/ -1 1) into -1
12.438 * [taylor]: Taking taylor expansion of (/ (- (/ 1 beta) (/ 1 alpha)) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) in beta
12.438 * [taylor]: Taking taylor expansion of (- (/ 1 beta) (/ 1 alpha)) in beta
12.438 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
12.438 * [taylor]: Taking taylor expansion of beta in beta
12.438 * [backup-simplify]: Simplify 0 into 0
12.438 * [backup-simplify]: Simplify 1 into 1
12.438 * [backup-simplify]: Simplify (/ 1 1) into 1
12.438 * [taylor]: Taking taylor expansion of (/ 1 alpha) in beta
12.438 * [taylor]: Taking taylor expansion of alpha in beta
12.438 * [backup-simplify]: Simplify alpha into alpha
12.438 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
12.439 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in beta
12.439 * [taylor]: Taking taylor expansion of (/ 1 alpha) in beta
12.439 * [taylor]: Taking taylor expansion of alpha in beta
12.439 * [backup-simplify]: Simplify alpha into alpha
12.439 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
12.439 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in beta
12.439 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in beta
12.439 * [taylor]: Taking taylor expansion of 2.0 in beta
12.439 * [backup-simplify]: Simplify 2.0 into 2.0
12.439 * [taylor]: Taking taylor expansion of (/ 1 i) in beta
12.439 * [taylor]: Taking taylor expansion of i in beta
12.439 * [backup-simplify]: Simplify i into i
12.439 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
12.439 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
12.439 * [taylor]: Taking taylor expansion of beta in beta
12.439 * [backup-simplify]: Simplify 0 into 0
12.439 * [backup-simplify]: Simplify 1 into 1
12.439 * [backup-simplify]: Simplify (/ 1 1) into 1
12.439 * [backup-simplify]: Simplify (+ 1 0) into 1
12.440 * [backup-simplify]: Simplify (+ 0 1) into 1
12.440 * [backup-simplify]: Simplify (+ 0 1) into 1
12.441 * [backup-simplify]: Simplify (/ 1 1) into 1
12.441 * [taylor]: Taking taylor expansion of (/ (- (/ 1 beta) (/ 1 alpha)) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) in beta
12.441 * [taylor]: Taking taylor expansion of (- (/ 1 beta) (/ 1 alpha)) in beta
12.441 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
12.441 * [taylor]: Taking taylor expansion of beta in beta
12.441 * [backup-simplify]: Simplify 0 into 0
12.441 * [backup-simplify]: Simplify 1 into 1
12.441 * [backup-simplify]: Simplify (/ 1 1) into 1
12.441 * [taylor]: Taking taylor expansion of (/ 1 alpha) in beta
12.441 * [taylor]: Taking taylor expansion of alpha in beta
12.441 * [backup-simplify]: Simplify alpha into alpha
12.441 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
12.441 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in beta
12.441 * [taylor]: Taking taylor expansion of (/ 1 alpha) in beta
12.441 * [taylor]: Taking taylor expansion of alpha in beta
12.441 * [backup-simplify]: Simplify alpha into alpha
12.441 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
12.441 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in beta
12.441 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in beta
12.442 * [taylor]: Taking taylor expansion of 2.0 in beta
12.442 * [backup-simplify]: Simplify 2.0 into 2.0
12.442 * [taylor]: Taking taylor expansion of (/ 1 i) in beta
12.442 * [taylor]: Taking taylor expansion of i in beta
12.442 * [backup-simplify]: Simplify i into i
12.442 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
12.442 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
12.442 * [taylor]: Taking taylor expansion of beta in beta
12.442 * [backup-simplify]: Simplify 0 into 0
12.442 * [backup-simplify]: Simplify 1 into 1
12.442 * [backup-simplify]: Simplify (/ 1 1) into 1
12.443 * [backup-simplify]: Simplify (+ 1 0) into 1
12.443 * [backup-simplify]: Simplify (+ 0 1) into 1
12.443 * [backup-simplify]: Simplify (+ 0 1) into 1
12.444 * [backup-simplify]: Simplify (/ 1 1) into 1
12.444 * [taylor]: Taking taylor expansion of 1 in alpha
12.444 * [backup-simplify]: Simplify 1 into 1
12.444 * [taylor]: Taking taylor expansion of 1 in i
12.444 * [backup-simplify]: Simplify 1 into 1
12.444 * [backup-simplify]: Simplify 0 into 0
12.445 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.445 * [backup-simplify]: Simplify (- (/ 1 alpha)) into (- (/ 1 alpha))
12.445 * [backup-simplify]: Simplify (+ 0 (- (/ 1 alpha))) into (- (/ 1 alpha))
12.445 * [backup-simplify]: Simplify (* 2.0 (/ 1 i)) into (/ 2.0 i)
12.446 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.446 * [backup-simplify]: Simplify (+ (/ 2.0 i) 0) into (* 2.0 (/ 1 i))
12.446 * [backup-simplify]: Simplify (+ (/ 1 alpha) (* 2.0 (/ 1 i))) into (+ (/ 1 alpha) (* 2.0 (/ 1 i)))
12.447 * [backup-simplify]: Simplify (- (/ (- (/ 1 alpha)) 1) (+ (* 1 (/ (+ (/ 1 alpha) (* 2.0 (/ 1 i))) 1)))) into (- (+ (* 2 (/ 1 alpha)) (* 2.0 (/ 1 i))))
12.447 * [taylor]: Taking taylor expansion of (- (+ (* 2 (/ 1 alpha)) (* 2.0 (/ 1 i)))) in alpha
12.447 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 alpha)) (* 2.0 (/ 1 i))) in alpha
12.447 * [taylor]: Taking taylor expansion of (* 2 (/ 1 alpha)) in alpha
12.447 * [taylor]: Taking taylor expansion of 2 in alpha
12.447 * [backup-simplify]: Simplify 2 into 2
12.447 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
12.447 * [taylor]: Taking taylor expansion of alpha in alpha
12.447 * [backup-simplify]: Simplify 0 into 0
12.447 * [backup-simplify]: Simplify 1 into 1
12.447 * [backup-simplify]: Simplify (/ 1 1) into 1
12.447 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
12.447 * [taylor]: Taking taylor expansion of 2.0 in alpha
12.447 * [backup-simplify]: Simplify 2.0 into 2.0
12.447 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
12.448 * [taylor]: Taking taylor expansion of i in alpha
12.448 * [backup-simplify]: Simplify i into i
12.448 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
12.448 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.449 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0
12.449 * [backup-simplify]: Simplify (* 2.0 (/ 1 i)) into (/ 2.0 i)
12.449 * [backup-simplify]: Simplify (+ 0 (/ 2.0 i)) into (* 2.0 (/ 1 i))
12.449 * [backup-simplify]: Simplify (- (* 2.0 (/ 1 i))) into (- (* 2.0 (/ 1 i)))
12.449 * [taylor]: Taking taylor expansion of (- (* 2.0 (/ 1 i))) in i
12.449 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in i
12.449 * [taylor]: Taking taylor expansion of 2.0 in i
12.449 * [backup-simplify]: Simplify 2.0 into 2.0
12.450 * [taylor]: Taking taylor expansion of (/ 1 i) in i
12.450 * [taylor]: Taking taylor expansion of i in i
12.450 * [backup-simplify]: Simplify 0 into 0
12.450 * [backup-simplify]: Simplify 1 into 1
12.450 * [backup-simplify]: Simplify (/ 1 1) into 1
12.451 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.452 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.453 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 1))) into 0
12.453 * [backup-simplify]: Simplify (- 0) into 0
12.453 * [backup-simplify]: Simplify 0 into 0
12.453 * [taylor]: Taking taylor expansion of 0 in i
12.453 * [backup-simplify]: Simplify 0 into 0
12.453 * [backup-simplify]: Simplify 0 into 0
12.453 * [backup-simplify]: Simplify 0 into 0
12.454 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.454 * [backup-simplify]: Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)))) into 0
12.455 * [backup-simplify]: Simplify (- 0) into 0
12.455 * [backup-simplify]: Simplify (+ 0 0) into 0
12.455 * [backup-simplify]: Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)))) into 0
12.455 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
12.456 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 (/ 1 i))) into 0
12.456 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.456 * [backup-simplify]: Simplify (+ 0 0) into 0
12.457 * [backup-simplify]: Simplify (+ 0 0) into 0
12.458 * [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)))))
12.458 * [taylor]: Taking taylor expansion of (+ (* 6.0 (/ 1 (* alpha i))) (+ (* 4.0 (/ 1 (pow i 2))) (* 2 (/ 1 (pow alpha 2))))) in alpha
12.458 * [taylor]: Taking taylor expansion of (* 6.0 (/ 1 (* alpha i))) in alpha
12.458 * [taylor]: Taking taylor expansion of 6.0 in alpha
12.458 * [backup-simplify]: Simplify 6.0 into 6.0
12.458 * [taylor]: Taking taylor expansion of (/ 1 (* alpha i)) in alpha
12.458 * [taylor]: Taking taylor expansion of (* alpha i) in alpha
12.458 * [taylor]: Taking taylor expansion of alpha in alpha
12.458 * [backup-simplify]: Simplify 0 into 0
12.458 * [backup-simplify]: Simplify 1 into 1
12.458 * [taylor]: Taking taylor expansion of i in alpha
12.458 * [backup-simplify]: Simplify i into i
12.458 * [backup-simplify]: Simplify (* 0 i) into 0
12.458 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 i)) into i
12.458 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
12.458 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 (pow i 2))) (* 2 (/ 1 (pow alpha 2)))) in alpha
12.458 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow i 2))) in alpha
12.458 * [taylor]: Taking taylor expansion of 4.0 in alpha
12.458 * [backup-simplify]: Simplify 4.0 into 4.0
12.458 * [taylor]: Taking taylor expansion of (/ 1 (pow i 2)) in alpha
12.458 * [taylor]: Taking taylor expansion of (pow i 2) in alpha
12.458 * [taylor]: Taking taylor expansion of i in alpha
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 (* 2 (/ 1 (pow alpha 2))) in alpha
12.459 * [taylor]: Taking taylor expansion of 2 in alpha
12.459 * [backup-simplify]: Simplify 2 into 2
12.459 * [taylor]: Taking taylor expansion of (/ 1 (pow alpha 2)) in alpha
12.459 * [taylor]: Taking taylor expansion of (pow alpha 2) in alpha
12.459 * [taylor]: Taking taylor expansion of alpha in alpha
12.459 * [backup-simplify]: Simplify 0 into 0
12.459 * [backup-simplify]: Simplify 1 into 1
12.459 * [backup-simplify]: Simplify (* 1 1) into 1
12.459 * [backup-simplify]: Simplify (/ 1 1) into 1
12.460 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 i))) into 0
12.460 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
12.460 * [backup-simplify]: Simplify (+ (* 6.0 0) (* 0 (/ 1 i))) into 0
12.460 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow i 2))) into (/ 4.0 (pow i 2))
12.461 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
12.461 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.461 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.462 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.463 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0
12.463 * [backup-simplify]: Simplify (+ (/ 4.0 (pow i 2)) 0) into (* 4.0 (/ 1 (pow i 2)))
12.463 * [backup-simplify]: Simplify (+ 0 (* 4.0 (/ 1 (pow i 2)))) into (* 4.0 (/ 1 (pow i 2)))
12.463 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow i 2))) in i
12.463 * [taylor]: Taking taylor expansion of 4.0 in i
12.463 * [backup-simplify]: Simplify 4.0 into 4.0
12.463 * [taylor]: Taking taylor expansion of (/ 1 (pow i 2)) in i
12.463 * [taylor]: Taking taylor expansion of (pow i 2) in i
12.463 * [taylor]: Taking taylor expansion of i in i
12.463 * [backup-simplify]: Simplify 0 into 0
12.463 * [backup-simplify]: Simplify 1 into 1
12.463 * [backup-simplify]: Simplify (* 1 1) into 1
12.464 * [backup-simplify]: Simplify (/ 1 1) into 1
12.464 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
12.465 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.465 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.466 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
12.466 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.467 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.467 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
12.467 * [backup-simplify]: Simplify 0 into 0
12.468 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.468 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0
12.469 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
12.469 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 (/ 1 i))) into 0
12.469 * [backup-simplify]: Simplify (+ 0 0) into 0
12.469 * [backup-simplify]: Simplify (- 0) into 0
12.469 * [taylor]: Taking taylor expansion of 0 in i
12.470 * [backup-simplify]: Simplify 0 into 0
12.470 * [backup-simplify]: Simplify 0 into 0
12.470 * [backup-simplify]: Simplify 0 into 0
12.470 * [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)))))
12.470 * [approximate]: Taking taylor expansion of (* -1 (/ (- (/ 1 alpha) (/ 1 beta)) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))))) in (beta alpha i) around 0
12.470 * [taylor]: Taking taylor expansion of (* -1 (/ (- (/ 1 alpha) (/ 1 beta)) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))))) in i
12.470 * [taylor]: Taking taylor expansion of -1 in i
12.470 * [backup-simplify]: Simplify -1 into -1
12.470 * [taylor]: Taking taylor expansion of (/ (- (/ 1 alpha) (/ 1 beta)) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) in i
12.470 * [taylor]: Taking taylor expansion of (- (/ 1 alpha) (/ 1 beta)) in i
12.470 * [taylor]: Taking taylor expansion of (/ 1 alpha) in i
12.470 * [taylor]: Taking taylor expansion of alpha in i
12.470 * [backup-simplify]: Simplify alpha into alpha
12.470 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
12.470 * [taylor]: Taking taylor expansion of (/ 1 beta) in i
12.470 * [taylor]: Taking taylor expansion of beta in i
12.470 * [backup-simplify]: Simplify beta into beta
12.470 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
12.470 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in i
12.470 * [taylor]: Taking taylor expansion of (/ 1 alpha) in i
12.470 * [taylor]: Taking taylor expansion of alpha in i
12.470 * [backup-simplify]: Simplify alpha into alpha
12.470 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
12.470 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in i
12.470 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in i
12.470 * [taylor]: Taking taylor expansion of 2.0 in i
12.470 * [backup-simplify]: Simplify 2.0 into 2.0
12.470 * [taylor]: Taking taylor expansion of (/ 1 i) in i
12.470 * [taylor]: Taking taylor expansion of i in i
12.470 * [backup-simplify]: Simplify 0 into 0
12.470 * [backup-simplify]: Simplify 1 into 1
12.471 * [backup-simplify]: Simplify (/ 1 1) into 1
12.471 * [taylor]: Taking taylor expansion of (/ 1 beta) in i
12.471 * [taylor]: Taking taylor expansion of beta in i
12.471 * [backup-simplify]: Simplify beta into beta
12.471 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
12.471 * [backup-simplify]: Simplify (- (/ 1 beta)) into (- (/ 1 beta))
12.471 * [backup-simplify]: Simplify (+ (/ 1 alpha) (- (/ 1 beta))) into (- (/ 1 alpha) (/ 1 beta))
12.471 * [backup-simplify]: Simplify (* 2.0 1) into 2.0
12.472 * [backup-simplify]: Simplify (+ 2.0 0) into 2.0
12.472 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
12.472 * [backup-simplify]: Simplify (/ (- (/ 1 alpha) (/ 1 beta)) 2.0) into (* 0.5 (- (/ 1 alpha) (/ 1 beta)))
12.472 * [taylor]: Taking taylor expansion of (* -1 (/ (- (/ 1 alpha) (/ 1 beta)) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))))) in alpha
12.472 * [taylor]: Taking taylor expansion of -1 in alpha
12.472 * [backup-simplify]: Simplify -1 into -1
12.472 * [taylor]: Taking taylor expansion of (/ (- (/ 1 alpha) (/ 1 beta)) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) in alpha
12.472 * [taylor]: Taking taylor expansion of (- (/ 1 alpha) (/ 1 beta)) in alpha
12.472 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
12.472 * [taylor]: Taking taylor expansion of alpha in alpha
12.472 * [backup-simplify]: Simplify 0 into 0
12.472 * [backup-simplify]: Simplify 1 into 1
12.472 * [backup-simplify]: Simplify (/ 1 1) into 1
12.472 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
12.472 * [taylor]: Taking taylor expansion of beta in alpha
12.472 * [backup-simplify]: Simplify beta into beta
12.472 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
12.472 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in alpha
12.473 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
12.473 * [taylor]: Taking taylor expansion of alpha in alpha
12.473 * [backup-simplify]: Simplify 0 into 0
12.473 * [backup-simplify]: Simplify 1 into 1
12.473 * [backup-simplify]: Simplify (/ 1 1) into 1
12.473 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in alpha
12.473 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
12.473 * [taylor]: Taking taylor expansion of 2.0 in alpha
12.473 * [backup-simplify]: Simplify 2.0 into 2.0
12.473 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
12.473 * [taylor]: Taking taylor expansion of i in alpha
12.473 * [backup-simplify]: Simplify i into i
12.473 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
12.473 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
12.473 * [taylor]: Taking taylor expansion of beta in alpha
12.473 * [backup-simplify]: Simplify beta into beta
12.473 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
12.473 * [backup-simplify]: Simplify (+ 1 0) into 1
12.474 * [backup-simplify]: Simplify (+ 1 0) into 1
12.474 * [backup-simplify]: Simplify (/ 1 1) into 1
12.474 * [taylor]: Taking taylor expansion of (* -1 (/ (- (/ 1 alpha) (/ 1 beta)) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))))) in beta
12.474 * [taylor]: Taking taylor expansion of -1 in beta
12.474 * [backup-simplify]: Simplify -1 into -1
12.474 * [taylor]: Taking taylor expansion of (/ (- (/ 1 alpha) (/ 1 beta)) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) in beta
12.474 * [taylor]: Taking taylor expansion of (- (/ 1 alpha) (/ 1 beta)) in beta
12.474 * [taylor]: Taking taylor expansion of (/ 1 alpha) in beta
12.474 * [taylor]: Taking taylor expansion of alpha in beta
12.474 * [backup-simplify]: Simplify alpha into alpha
12.474 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
12.474 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
12.474 * [taylor]: Taking taylor expansion of beta in beta
12.474 * [backup-simplify]: Simplify 0 into 0
12.474 * [backup-simplify]: Simplify 1 into 1
12.474 * [backup-simplify]: Simplify (/ 1 1) into 1
12.474 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in beta
12.474 * [taylor]: Taking taylor expansion of (/ 1 alpha) in beta
12.474 * [taylor]: Taking taylor expansion of alpha in beta
12.474 * [backup-simplify]: Simplify alpha into alpha
12.474 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
12.474 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in beta
12.474 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in beta
12.475 * [taylor]: Taking taylor expansion of 2.0 in beta
12.475 * [backup-simplify]: Simplify 2.0 into 2.0
12.475 * [taylor]: Taking taylor expansion of (/ 1 i) in beta
12.475 * [taylor]: Taking taylor expansion of i in beta
12.475 * [backup-simplify]: Simplify i into i
12.475 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
12.475 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
12.475 * [taylor]: Taking taylor expansion of beta in beta
12.475 * [backup-simplify]: Simplify 0 into 0
12.475 * [backup-simplify]: Simplify 1 into 1
12.475 * [backup-simplify]: Simplify (/ 1 1) into 1
12.475 * [backup-simplify]: Simplify (- 1) into -1
12.475 * [backup-simplify]: Simplify (+ 0 -1) into -1
12.476 * [backup-simplify]: Simplify (+ 0 1) into 1
12.476 * [backup-simplify]: Simplify (+ 0 1) into 1
12.476 * [backup-simplify]: Simplify (/ -1 1) into -1
12.476 * [taylor]: Taking taylor expansion of (* -1 (/ (- (/ 1 alpha) (/ 1 beta)) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))))) in beta
12.476 * [taylor]: Taking taylor expansion of -1 in beta
12.476 * [backup-simplify]: Simplify -1 into -1
12.476 * [taylor]: Taking taylor expansion of (/ (- (/ 1 alpha) (/ 1 beta)) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) in beta
12.476 * [taylor]: Taking taylor expansion of (- (/ 1 alpha) (/ 1 beta)) in beta
12.476 * [taylor]: Taking taylor expansion of (/ 1 alpha) in beta
12.476 * [taylor]: Taking taylor expansion of alpha in beta
12.476 * [backup-simplify]: Simplify alpha into alpha
12.476 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
12.476 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
12.477 * [taylor]: Taking taylor expansion of beta in beta
12.477 * [backup-simplify]: Simplify 0 into 0
12.477 * [backup-simplify]: Simplify 1 into 1
12.477 * [backup-simplify]: Simplify (/ 1 1) into 1
12.477 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in beta
12.477 * [taylor]: Taking taylor expansion of (/ 1 alpha) in beta
12.477 * [taylor]: Taking taylor expansion of alpha in beta
12.477 * [backup-simplify]: Simplify alpha into alpha
12.477 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
12.477 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in beta
12.477 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in beta
12.477 * [taylor]: Taking taylor expansion of 2.0 in beta
12.477 * [backup-simplify]: Simplify 2.0 into 2.0
12.477 * [taylor]: Taking taylor expansion of (/ 1 i) in beta
12.477 * [taylor]: Taking taylor expansion of i in beta
12.477 * [backup-simplify]: Simplify i into i
12.477 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
12.477 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
12.477 * [taylor]: Taking taylor expansion of beta in beta
12.477 * [backup-simplify]: Simplify 0 into 0
12.477 * [backup-simplify]: Simplify 1 into 1
12.477 * [backup-simplify]: Simplify (/ 1 1) into 1
12.478 * [backup-simplify]: Simplify (- 1) into -1
12.478 * [backup-simplify]: Simplify (+ 0 -1) into -1
12.478 * [backup-simplify]: Simplify (+ 0 1) into 1
12.478 * [backup-simplify]: Simplify (+ 0 1) into 1
12.479 * [backup-simplify]: Simplify (/ -1 1) into -1
12.479 * [backup-simplify]: Simplify (* -1 -1) into 1
12.479 * [taylor]: Taking taylor expansion of 1 in alpha
12.479 * [backup-simplify]: Simplify 1 into 1
12.479 * [taylor]: Taking taylor expansion of 1 in i
12.479 * [backup-simplify]: Simplify 1 into 1
12.479 * [backup-simplify]: Simplify 0 into 0
12.480 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.480 * [backup-simplify]: Simplify (- 0) into 0
12.480 * [backup-simplify]: Simplify (+ (/ 1 alpha) 0) into (/ 1 alpha)
12.480 * [backup-simplify]: Simplify (* 2.0 (/ 1 i)) into (/ 2.0 i)
12.480 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.480 * [backup-simplify]: Simplify (+ (/ 2.0 i) 0) into (* 2.0 (/ 1 i))
12.481 * [backup-simplify]: Simplify (+ (/ 1 alpha) (* 2.0 (/ 1 i))) into (+ (/ 1 alpha) (* 2.0 (/ 1 i)))
12.481 * [backup-simplify]: Simplify (- (/ (/ 1 alpha) 1) (+ (* -1 (/ (+ (/ 1 alpha) (* 2.0 (/ 1 i))) 1)))) into (+ (* 2 (/ 1 alpha)) (* 2.0 (/ 1 i)))
12.482 * [backup-simplify]: Simplify (+ (* -1 (+ (* 2 (/ 1 alpha)) (* 2.0 (/ 1 i)))) (* 0 -1)) into (- (+ (* 2 (/ 1 alpha)) (* 2.0 (/ 1 i))))
12.482 * [taylor]: Taking taylor expansion of (- (+ (* 2 (/ 1 alpha)) (* 2.0 (/ 1 i)))) in alpha
12.482 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 alpha)) (* 2.0 (/ 1 i))) in alpha
12.482 * [taylor]: Taking taylor expansion of (* 2 (/ 1 alpha)) in alpha
12.482 * [taylor]: Taking taylor expansion of 2 in alpha
12.482 * [backup-simplify]: Simplify 2 into 2
12.482 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
12.482 * [taylor]: Taking taylor expansion of alpha in alpha
12.482 * [backup-simplify]: Simplify 0 into 0
12.482 * [backup-simplify]: Simplify 1 into 1
12.482 * [backup-simplify]: Simplify (/ 1 1) into 1
12.482 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
12.482 * [taylor]: Taking taylor expansion of 2.0 in alpha
12.482 * [backup-simplify]: Simplify 2.0 into 2.0
12.482 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
12.482 * [taylor]: Taking taylor expansion of i in alpha
12.482 * [backup-simplify]: Simplify i into i
12.483 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
12.483 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.483 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0
12.484 * [backup-simplify]: Simplify (* 2.0 (/ 1 i)) into (/ 2.0 i)
12.484 * [backup-simplify]: Simplify (+ 0 (/ 2.0 i)) into (* 2.0 (/ 1 i))
12.484 * [backup-simplify]: Simplify (- (* 2.0 (/ 1 i))) into (- (* 2.0 (/ 1 i)))
12.484 * [taylor]: Taking taylor expansion of (- (* 2.0 (/ 1 i))) in i
12.484 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 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 (/ 1 i) in i
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 * [backup-simplify]: Simplify (/ 1 1) into 1
12.484 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.485 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.486 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 1))) into 0
12.486 * [backup-simplify]: Simplify (- 0) into 0
12.486 * [backup-simplify]: Simplify 0 into 0
12.486 * [taylor]: Taking taylor expansion of 0 in i
12.486 * [backup-simplify]: Simplify 0 into 0
12.486 * [backup-simplify]: Simplify 0 into 0
12.486 * [backup-simplify]: Simplify 0 into 0
12.486 * [backup-simplify]: Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)))) into 0
12.487 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.487 * [backup-simplify]: Simplify (- 0) into 0
12.487 * [backup-simplify]: Simplify (+ 0 0) into 0
12.487 * [backup-simplify]: Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)))) into 0
12.487 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
12.487 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 (/ 1 i))) into 0
12.488 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.488 * [backup-simplify]: Simplify (+ 0 0) into 0
12.488 * [backup-simplify]: Simplify (+ 0 0) into 0
12.489 * [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))))))
12.490 * [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)))))
12.490 * [taylor]: Taking taylor expansion of (+ (* 6.0 (/ 1 (* alpha i))) (+ (* 4.0 (/ 1 (pow i 2))) (* 2 (/ 1 (pow alpha 2))))) in alpha
12.490 * [taylor]: Taking taylor expansion of (* 6.0 (/ 1 (* alpha i))) in alpha
12.490 * [taylor]: Taking taylor expansion of 6.0 in alpha
12.490 * [backup-simplify]: Simplify 6.0 into 6.0
12.490 * [taylor]: Taking taylor expansion of (/ 1 (* alpha i)) in alpha
12.490 * [taylor]: Taking taylor expansion of (* alpha i) 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 i in alpha
12.491 * [backup-simplify]: Simplify i into i
12.491 * [backup-simplify]: Simplify (* 0 i) into 0
12.491 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 i)) into i
12.491 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
12.491 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 (pow i 2))) (* 2 (/ 1 (pow alpha 2)))) in alpha
12.491 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow i 2))) in alpha
12.491 * [taylor]: Taking taylor expansion of 4.0 in alpha
12.491 * [backup-simplify]: Simplify 4.0 into 4.0
12.491 * [taylor]: Taking taylor expansion of (/ 1 (pow i 2)) in alpha
12.491 * [taylor]: Taking taylor expansion of (pow i 2) in alpha
12.491 * [taylor]: Taking taylor expansion of i in alpha
12.491 * [backup-simplify]: Simplify i into i
12.491 * [backup-simplify]: Simplify (* i i) into (pow i 2)
12.491 * [backup-simplify]: Simplify (/ 1 (pow i 2)) into (/ 1 (pow i 2))
12.491 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow alpha 2))) in alpha
12.491 * [taylor]: Taking taylor expansion of 2 in alpha
12.491 * [backup-simplify]: Simplify 2 into 2
12.491 * [taylor]: Taking taylor expansion of (/ 1 (pow alpha 2)) 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
12.492 * [backup-simplify]: Simplify (* 1 1) into 1
12.492 * [backup-simplify]: Simplify (/ 1 1) into 1
12.492 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 i))) into 0
12.492 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
12.493 * [backup-simplify]: Simplify (+ (* 6.0 0) (* 0 (/ 1 i))) into 0
12.493 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow i 2))) into (/ 4.0 (pow i 2))
12.493 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
12.494 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.494 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.495 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.495 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0
12.495 * [backup-simplify]: Simplify (+ (/ 4.0 (pow i 2)) 0) into (* 4.0 (/ 1 (pow i 2)))
12.496 * [backup-simplify]: Simplify (+ 0 (* 4.0 (/ 1 (pow i 2)))) into (* 4.0 (/ 1 (pow i 2)))
12.496 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow i 2))) in i
12.496 * [taylor]: Taking taylor expansion of 4.0 in i
12.496 * [backup-simplify]: Simplify 4.0 into 4.0
12.496 * [taylor]: Taking taylor expansion of (/ 1 (pow i 2)) in i
12.496 * [taylor]: Taking taylor expansion of (pow i 2) in i
12.496 * [taylor]: Taking taylor expansion of i in i
12.496 * [backup-simplify]: Simplify 0 into 0
12.496 * [backup-simplify]: Simplify 1 into 1
12.496 * [backup-simplify]: Simplify (* 1 1) into 1
12.497 * [backup-simplify]: Simplify (/ 1 1) into 1
12.498 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
12.498 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.499 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.500 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
12.501 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.502 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.503 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
12.503 * [backup-simplify]: Simplify 0 into 0
12.504 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.505 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0
12.505 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
12.505 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 (/ 1 i))) into 0
12.506 * [backup-simplify]: Simplify (+ 0 0) into 0
12.506 * [backup-simplify]: Simplify (- 0) into 0
12.506 * [taylor]: Taking taylor expansion of 0 in i
12.506 * [backup-simplify]: Simplify 0 into 0
12.506 * [backup-simplify]: Simplify 0 into 0
12.506 * [backup-simplify]: Simplify 0 into 0
12.506 * * * [progress]: simplifying candidates
12.521 * [simplify]: Simplifying:
  (* (+ 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)))
  (* (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)
  (- (- (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))))
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  (/ (+ (+ (+ 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))
  (- (* 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
  0
  0
  0
12.525 * [simplify]: Sending expressions to egg_math:
 (* (+ h2 h1) (/ (/ (- h1 h2) (+ (+ h2 h1) (* 2.0 h0))) (+ (+ (+ h2 h1) (* 2.0 h0)) 2.0)))
 (+ (log (+ h2 h1)) (- (- (log (- h1 h2)) (log (+ (+ h2 h1) (* 2.0 h0)))) (log (+ (+ (+ h2 h1) (* 2.0 h0)) 2.0))))
 (+ (log (+ h2 h1)) (- (log (/ (- h1 h2) (+ (+ h2 h1) (* 2.0 h0)))) (log (+ (+ (+ h2 h1) (* 2.0 h0)) 2.0))))
 (+ (log (+ h2 h1)) (log (/ (/ (- h1 h2) (+ (+ h2 h1) (* 2.0 h0))) (+ (+ (+ h2 h1) (* 2.0 h0)) 2.0))))
 (log (* (+ h2 h1) (/ (/ (- h1 h2) (+ (+ h2 h1) (* 2.0 h0))) (+ (+ (+ h2 h1) (* 2.0 h0)) 2.0))))
 (exp (* (+ h2 h1) (/ (/ (- h1 h2) (+ (+ h2 h1) (* 2.0 h0))) (+ (+ (+ h2 h1) (* 2.0 h0)) 2.0))))
 (* (* (* (+ h2 h1) (+ h2 h1)) (+ h2 h1)) (/ (/ (* (* (- h1 h2) (- h1 h2)) (- h1 h2)) (* (* (+ (+ h2 h1) (* 2.0 h0)) (+ (+ h2 h1) (* 2.0 h0))) (+ (+ h2 h1) (* 2.0 h0)))) (* (* (+ (+ (+ h2 h1) (* 2.0 h0)) 2.0) (+ (+ (+ h2 h1) (* 2.0 h0)) 2.0)) (+ (+ (+ h2 h1) (* 2.0 h0)) 2.0))))
 (* (* (* (+ h2 h1) (+ h2 h1)) (+ h2 h1)) (/ (* (* (/ (- h1 h2) (+ (+ h2 h1) (* 2.0 h0))) (/ (- h1 h2) (+ (+ h2 h1) (* 2.0 h0)))) (/ (- h1 h2) (+ (+ h2 h1) (* 2.0 h0)))) (* (* (+ (+ (+ h2 h1) (* 2.0 h0)) 2.0) (+ (+ (+ h2 h1) (* 2.0 h0)) 2.0)) (+ (+ (+ h2 h1) (* 2.0 h0)) 2.0))))
 (* (* (* (+ h2 h1) (+ h2 h1)) (+ h2 h1)) (* (* (/ (/ (- h1 h2) (+ (+ h2 h1) (* 2.0 h0))) (+ (+ (+ h2 h1) (* 2.0 h0)) 2.0)) (/ (/ (- h1 h2) (+ (+ h2 h1) (* 2.0 h0))) (+ (+ (+ h2 h1) (* 2.0 h0)) 2.0))) (/ (/ (- h1 h2) (+ (+ h2 h1) (* 2.0 h0))) (+ (+ (+ h2 h1) (* 2.0 h0)) 2.0))))
 (* (cbrt (* (+ h2 h1) (/ (/ (- h1 h2) (+ (+ h2 h1) (* 2.0 h0))) (+ (+ (+ h2 h1) (* 2.0 h0)) 2.0)))) (cbrt (* (+ h2 h1) (/ (/ (- h1 h2) (+ (+ h2 h1) (* 2.0 h0))) (+ (+ (+ h2 h1) (* 2.0 h0)) 2.0)))))
 (cbrt (* (+ h2 h1) (/ (/ (- h1 h2) (+ (+ h2 h1) (* 2.0 h0))) (+ (+ (+ h2 h1) (* 2.0 h0)) 2.0))))
 (* (* (* (+ h2 h1) (/ (/ (- h1 h2) (+ (+ h2 h1) (* 2.0 h0))) (+ (+ (+ h2 h1) (* 2.0 h0)) 2.0))) (* (+ h2 h1) (/ (/ (- h1 h2) (+ (+ h2 h1) (* 2.0 h0))) (+ (+ (+ h2 h1) (* 2.0 h0)) 2.0)))) (* (+ h2 h1) (/ (/ (- h1 h2) (+ (+ h2 h1) (* 2.0 h0))) (+ (+ (+ h2 h1) (* 2.0 h0)) 2.0))))
 (sqrt (* (+ h2 h1) (/ (/ (- h1 h2) (+ (+ h2 h1) (* 2.0 h0))) (+ (+ (+ h2 h1) (* 2.0 h0)) 2.0))))
 (sqrt (* (+ h2 h1) (/ (/ (- h1 h2) (+ (+ h2 h1) (* 2.0 h0))) (+ (+ (+ h2 h1) (* 2.0 h0)) 2.0))))
 (* (+ (pow h2 3) (pow h1 3)) (/ (- h1 h2) (+ (+ h2 h1) (* 2.0 h0))))
 (* (+ (* h2 h2) (- (* h1 h1) (* h2 h1))) (+ (+ (+ h2 h1) (* 2.0 h0)) 2.0))
 (* (- (* h2 h2) (* h1 h1)) (/ (- h1 h2) (+ (+ h2 h1) (* 2.0 h0))))
 (* (- h2 h1) (+ (+ (+ h2 h1) (* 2.0 h0)) 2.0))
 (* (sqrt (+ h2 h1)) (sqrt (/ (/ (- h1 h2) (+ (+ h2 h1) (* 2.0 h0))) (+ (+ (+ h2 h1) (* 2.0 h0)) 2.0))))
 (* (sqrt (+ h2 h1)) (sqrt (/ (/ (- h1 h2) (+ (+ h2 h1) (* 2.0 h0))) (+ (+ (+ h2 h1) (* 2.0 h0)) 2.0))))
 (* (sqrt (+ h2 h1)) (/ (sqrt (/ (- h1 h2) (+ (+ h2 h1) (* 2.0 h0)))) (sqrt (+ (+ (+ h2 h1) (* 2.0 h0)) 2.0))))
 (* (sqrt (+ h2 h1)) (/ (sqrt (/ (- h1 h2) (+ (+ h2 h1) (* 2.0 h0)))) (sqrt (+ (+ (+ h2 h1) (* 2.0 h0)) 2.0))))
 (* (sqrt (+ h2 h1)) (/ (/ (sqrt (- h1 h2)) (sqrt (+ (+ h2 h1) (* 2.0 h0)))) (sqrt (+ (+ (+ h2 h1) (* 2.0 h0)) 2.0))))
 (* (sqrt (+ h2 h1)) (/ (/ (sqrt (- h1 h2)) (sqrt (+ (+ h2 h1) (* 2.0 h0)))) (sqrt (+ (+ (+ h2 h1) (* 2.0 h0)) 2.0))))
 (* (+ h2 h1) (* (cbrt (/ (/ (- h1 h2) (+ (+ h2 h1) (* 2.0 h0))) (+ (+ (+ h2 h1) (* 2.0 h0)) 2.0))) (cbrt (/ (/ (- h1 h2) (+ (+ h2 h1) (* 2.0 h0))) (+ (+ (+ h2 h1) (* 2.0 h0)) 2.0)))))
 (* (+ h2 h1) (sqrt (/ (/ (- h1 h2) (+ (+ h2 h1) (* 2.0 h0))) (+ (+ (+ h2 h1) (* 2.0 h0)) 2.0))))
 (* (+ h2 h1) (/ (* (cbrt (/ (- h1 h2) (+ (+ h2 h1) (* 2.0 h0)))) (cbrt (/ (- h1 h2) (+ (+ h2 h1) (* 2.0 h0))))) (* (cbrt (+ (+ (+ h2 h1) (* 2.0 h0)) 2.0)) (cbrt (+ (+ (+ h2 h1) (* 2.0 h0)) 2.0)))))
 (* (+ h2 h1) (/ (* (cbrt (/ (- h1 h2) (+ (+ h2 h1) (* 2.0 h0)))) (cbrt (/ (- h1 h2) (+ (+ h2 h1) (* 2.0 h0))))) (sqrt (+ (+ (+ h2 h1) (* 2.0 h0)) 2.0))))
 (* (+ h2 h1) (/ (* (cbrt (/ (- h1 h2) (+ (+ h2 h1) (* 2.0 h0)))) (cbrt (/ (- h1 h2) (+ (+ h2 h1) (* 2.0 h0))))) 1))
 (* (+ h2 h1) (/ (* (cbrt (/ (- h1 h2) (+ (+ h2 h1) (* 2.0 h0)))) (cbrt (/ (- h1 h2) (+ (+ h2 h1) (* 2.0 h0))))) 1))
 (* (+ h2 h1) (/ (sqrt (/ (- h1 h2) (+ (+ h2 h1) (* 2.0 h0)))) (* (cbrt (+ (+ (+ h2 h1) (* 2.0 h0)) 2.0)) (cbrt (+ (+ (+ h2 h1) (* 2.0 h0)) 2.0)))))
 (* (+ h2 h1) (/ (sqrt (/ (- h1 h2) (+ (+ h2 h1) (* 2.0 h0)))) (sqrt (+ (+ (+ h2 h1) (* 2.0 h0)) 2.0))))
 (* (+ h2 h1) (/ (sqrt (/ (- h1 h2) (+ (+ h2 h1) (* 2.0 h0)))) 1))
 (* (+ h2 h1) (/ (sqrt (/ (- h1 h2) (+ (+ h2 h1) (* 2.0 h0)))) 1))
 (* (+ h2 h1) (/ (/ (* (cbrt (- h1 h2)) (cbrt (- h1 h2))) (* (cbrt (+ (+ h2 h1) (* 2.0 h0))) (cbrt (+ (+ h2 h1) (* 2.0 h0))))) (* (cbrt (+ (+ (+ h2 h1) (* 2.0 h0)) 2.0)) (cbrt (+ (+ (+ h2 h1) (* 2.0 h0)) 2.0)))))
 (* (+ h2 h1) (/ (/ (* (cbrt (- h1 h2)) (cbrt (- h1 h2))) (* (cbrt (+ (+ h2 h1) (* 2.0 h0))) (cbrt (+ (+ h2 h1) (* 2.0 h0))))) (sqrt (+ (+ (+ h2 h1) (* 2.0 h0)) 2.0))))
 (* (+ h2 h1) (/ (/ (* (cbrt (- h1 h2)) (cbrt (- h1 h2))) (* (cbrt (+ (+ h2 h1) (* 2.0 h0))) (cbrt (+ (+ h2 h1) (* 2.0 h0))))) 1))
 (* (+ h2 h1) (/ (/ (* (cbrt (- h1 h2)) (cbrt (- h1 h2))) (* (cbrt (+ (+ h2 h1) (* 2.0 h0))) (cbrt (+ (+ h2 h1) (* 2.0 h0))))) 1))
 (* (+ h2 h1) (/ (/ (* (cbrt (- h1 h2)) (cbrt (- h1 h2))) (sqrt (+ (+ h2 h1) (* 2.0 h0)))) (* (cbrt (+ (+ (+ h2 h1) (* 2.0 h0)) 2.0)) (cbrt (+ (+ (+ h2 h1) (* 2.0 h0)) 2.0)))))
 (* (+ h2 h1) (/ (/ (* (cbrt (- h1 h2)) (cbrt (- h1 h2))) (sqrt (+ (+ h2 h1) (* 2.0 h0)))) (sqrt (+ (+ (+ h2 h1) (* 2.0 h0)) 2.0))))
 (* (+ h2 h1) (/ (/ (* (cbrt (- h1 h2)) (cbrt (- h1 h2))) (sqrt (+ (+ h2 h1) (* 2.0 h0)))) 1))
 (* (+ h2 h1) (/ (/ (* (cbrt (- h1 h2)) (cbrt (- h1 h2))) (sqrt (+ (+ h2 h1) (* 2.0 h0)))) 1))
 (* (+ h2 h1) (/ (/ (* (cbrt (- h1 h2)) (cbrt (- h1 h2))) 1) (* (cbrt (+ (+ (+ h2 h1) (* 2.0 h0)) 2.0)) (cbrt (+ (+ (+ h2 h1) (* 2.0 h0)) 2.0)))))
 (* (+ h2 h1) (/ (/ (* (cbrt (- h1 h2)) (cbrt (- h1 h2))) 1) (sqrt (+ (+ (+ h2 h1) (* 2.0 h0)) 2.0))))
 (* (+ h2 h1) (/ (/ (* (cbrt (- h1 h2)) (cbrt (- h1 h2))) 1) 1))
 (* (+ h2 h1) (/ (/ (* (cbrt (- h1 h2)) (cbrt (- h1 h2))) 1) 1))
 (* (+ h2 h1) (/ (/ (sqrt (- h1 h2)) (* (cbrt (+ (+ h2 h1) (* 2.0 h0))) (cbrt (+ (+ h2 h1) (* 2.0 h0))))) (* (cbrt (+ (+ (+ h2 h1) (* 2.0 h0)) 2.0)) (cbrt (+ (+ (+ h2 h1) (* 2.0 h0)) 2.0)))))
 (* (+ h2 h1) (/ (/ (sqrt (- h1 h2)) (* (cbrt (+ (+ h2 h1) (* 2.0 h0))) (cbrt (+ (+ h2 h1) (* 2.0 h0))))) (sqrt (+ (+ (+ h2 h1) (* 2.0 h0)) 2.0))))
 (* (+ h2 h1) (/ (/ (sqrt (- h1 h2)) (* (cbrt (+ (+ h2 h1) (* 2.0 h0))) (cbrt (+ (+ h2 h1) (* 2.0 h0))))) 1))
 (* (+ h2 h1) (/ (/ (sqrt (- h1 h2)) (* (cbrt (+ (+ h2 h1) (* 2.0 h0))) (cbrt (+ (+ h2 h1) (* 2.0 h0))))) 1))
 (* (+ h2 h1) (/ (/ (sqrt (- h1 h2)) (sqrt (+ (+ h2 h1) (* 2.0 h0)))) (* (cbrt (+ (+ (+ h2 h1) (* 2.0 h0)) 2.0)) (cbrt (+ (+ (+ h2 h1) (* 2.0 h0)) 2.0)))))
 (* (+ h2 h1) (/ (/ (sqrt (- h1 h2)) (sqrt (+ (+ h2 h1) (* 2.0 h0)))) (sqrt (+ (+ (+ h2 h1) (* 2.0 h0)) 2.0))))
 (* (+ h2 h1) (/ (/ (sqrt (- h1 h2)) (sqrt (+ (+ h2 h1) (* 2.0 h0)))) 1))
 (* (+ h2 h1) (/ (/ (sqrt (- h1 h2)) (sqrt (+ (+ h2 h1) (* 2.0 h0)))) 1))
 (* (+ h2 h1) (/ (/ (sqrt (- h1 h2)) 1) (* (cbrt (+ (+ (+ h2 h1) (* 2.0 h0)) 2.0)) (cbrt (+ (+ (+ h2 h1) (* 2.0 h0)) 2.0)))))
 (* (+ h2 h1) (/ (/ (sqrt (- h1 h2)) 1) (sqrt (+ (+ (+ h2 h1) (* 2.0 h0)) 2.0))))
 (* (+ h2 h1) (/ (/ (sqrt (- h1 h2)) 1) 1))
 (* (+ h2 h1) (/ (/ (sqrt (- h1 h2)) 1) 1))
 (* (+ h2 h1) (/ (/ 1 (* (cbrt (+ (+ h2 h1) (* 2.0 h0))) (cbrt (+ (+ h2 h1) (* 2.0 h0))))) (* (cbrt (+ (+ (+ h2 h1) (* 2.0 h0)) 2.0)) (cbrt (+ (+ (+ h2 h1) (* 2.0 h0)) 2.0)))))
 (* (+ h2 h1) (/ (/ 1 (* (cbrt (+ (+ h2 h1) (* 2.0 h0))) (cbrt (+ (+ h2 h1) (* 2.0 h0))))) (sqrt (+ (+ (+ h2 h1) (* 2.0 h0)) 2.0))))
 (* (+ h2 h1) (/ (/ 1 (* (cbrt (+ (+ h2 h1) (* 2.0 h0))) (cbrt (+ (+ h2 h1) (* 2.0 h0))))) 1))
 (* (+ h2 h1) (/ (/ 1 (* (cbrt (+ (+ h2 h1) (* 2.0 h0))) (cbrt (+ (+ h2 h1) (* 2.0 h0))))) 1))
 (* (+ h2 h1) (/ (/ 1 (sqrt (+ (+ h2 h1) (* 2.0 h0)))) (* (cbrt (+ (+ (+ h2 h1) (* 2.0 h0)) 2.0)) (cbrt (+ (+ (+ h2 h1) (* 2.0 h0)) 2.0)))))
 (* (+ h2 h1) (/ (/ 1 (sqrt (+ (+ h2 h1) (* 2.0 h0)))) (sqrt (+ (+ (+ h2 h1) (* 2.0 h0)) 2.0))))
 (* (+ h2 h1) (/ (/ 1 (sqrt (+ (+ h2 h1) (* 2.0 h0)))) 1))
 (* (+ h2 h1) (/ (/ 1 (sqrt (+ (+ h2 h1) (* 2.0 h0)))) 1))
 (* (+ h2 h1) (/ (/ 1 1) (* (cbrt (+ (+ (+ h2 h1) (* 2.0 h0)) 2.0)) (cbrt (+ (+ (+ h2 h1) (* 2.0 h0)) 2.0)))))
 (* (+ h2 h1) (/ (/ 1 1) (sqrt (+ (+ (+ h2 h1) (* 2.0 h0)) 2.0))))
 (* (+ h2 h1) (/ (/ 1 1) 1))
 (* (+ h2 h1) (/ (/ 1 1) 1))
 (* (+ h2 h1) (/ (/ (+ (sqrt h1) (sqrt h2)) (* (cbrt (+ (+ h2 h1) (* 2.0 h0))) (cbrt (+ (+ h2 h1) (* 2.0 h0))))) (* (cbrt (+ (+ (+ h2 h1) (* 2.0 h0)) 2.0)) (cbrt (+ (+ (+ h2 h1) (* 2.0 h0)) 2.0)))))
 (* (+ h2 h1) (/ (/ (+ (sqrt h1) (sqrt h2)) (* (cbrt (+ (+ h2 h1) (* 2.0 h0))) (cbrt (+ (+ h2 h1) (* 2.0 h0))))) (sqrt (+ (+ (+ h2 h1) (* 2.0 h0)) 2.0))))
 (* (+ h2 h1) (/ (/ (+ (sqrt h1) (sqrt h2)) (* (cbrt (+ (+ h2 h1) (* 2.0 h0))) (cbrt (+ (+ h2 h1) (* 2.0 h0))))) 1))
 (* (+ h2 h1) (/ (/ (+ (sqrt h1) (sqrt h2)) (* (cbrt (+ (+ h2 h1) (* 2.0 h0))) (cbrt (+ (+ h2 h1) (* 2.0 h0))))) 1))
 (* (+ h2 h1) (/ (/ (+ (sqrt h1) (sqrt h2)) (sqrt (+ (+ h2 h1) (* 2.0 h0)))) (* (cbrt (+ (+ (+ h2 h1) (* 2.0 h0)) 2.0)) (cbrt (+ (+ (+ h2 h1) (* 2.0 h0)) 2.0)))))
 (* (+ h2 h1) (/ (/ (+ (sqrt h1) (sqrt h2)) (sqrt (+ (+ h2 h1) (* 2.0 h0)))) (sqrt (+ (+ (+ h2 h1) (* 2.0 h0)) 2.0))))
 (* (+ h2 h1) (/ (/ (+ (sqrt h1) (sqrt h2)) (sqrt (+ (+ h2 h1) (* 2.0 h0)))) 1))
 (* (+ h2 h1) (/ (/ (+ (sqrt h1) (sqrt h2)) (sqrt (+ (+ h2 h1) (* 2.0 h0)))) 1))
 (* (+ h2 h1) (/ (/ (+ (sqrt h1) (sqrt h2)) 1) (* (cbrt (+ (+ (+ h2 h1) (* 2.0 h0)) 2.0)) (cbrt (+ (+ (+ h2 h1) (* 2.0 h0)) 2.0)))))
 (* (+ h2 h1) (/ (/ (+ (sqrt h1) (sqrt h2)) 1) (sqrt (+ (+ (+ h2 h1) (* 2.0 h0)) 2.0))))
 (* (+ h2 h1) (/ (/ (+ (sqrt h1) (sqrt h2)) 1) 1))
 (* (+ h2 h1) (/ (/ (+ (sqrt h1) (sqrt h2)) 1) 1))
 (* (+ h2 h1) (/ (/ 1 (* (cbrt (+ (+ h2 h1) (* 2.0 h0))) (cbrt (+ (+ h2 h1) (* 2.0 h0))))) (* (cbrt (+ (+ (+ h2 h1) (* 2.0 h0)) 2.0)) (cbrt (+ (+ (+ h2 h1) (* 2.0 h0)) 2.0)))))
 (* (+ h2 h1) (/ (/ 1 (* (cbrt (+ (+ h2 h1) (* 2.0 h0))) (cbrt (+ (+ h2 h1) (* 2.0 h0))))) (sqrt (+ (+ (+ h2 h1) (* 2.0 h0)) 2.0))))
 (* (+ h2 h1) (/ (/ 1 (* (cbrt (+ (+ h2 h1) (* 2.0 h0))) (cbrt (+ (+ h2 h1) (* 2.0 h0))))) 1))
 (* (+ h2 h1) (/ (/ 1 (* (cbrt (+ (+ h2 h1) (* 2.0 h0))) (cbrt (+ (+ h2 h1) (* 2.0 h0))))) 1))
 (* (+ h2 h1) (/ (/ 1 (sqrt (+ (+ h2 h1) (* 2.0 h0)))) (* (cbrt (+ (+ (+ h2 h1) (* 2.0 h0)) 2.0)) (cbrt (+ (+ (+ h2 h1) (* 2.0 h0)) 2.0)))))
 (* (+ h2 h1) (/ (/ 1 (sqrt (+ (+ h2 h1) (* 2.0 h0)))) (sqrt (+ (+ (+ h2 h1) (* 2.0 h0)) 2.0))))
 (* (+ h2 h1) (/ (/ 1 (sqrt (+ (+ h2 h1) (* 2.0 h0)))) 1))
 (* (+ h2 h1) (/ (/ 1 (sqrt (+ (+ h2 h1) (* 2.0 h0)))) 1))
 (* (+ h2 h1) (/ (/ 1 1) (* (cbrt (+ (+ (+ h2 h1) (* 2.0 h0)) 2.0)) (cbrt (+ (+ (+ h2 h1) (* 2.0 h0)) 2.0)))))
 (* (+ h2 h1) (/ (/ 1 1) (sqrt (+ (+ (+ h2 h1) (* 2.0 h0)) 2.0))))
 (* (+ h2 h1) (/ (/ 1 1) 1))
 (* (+ h2 h1) (/ (/ 1 1) 1))
 (* (+ h2 h1) (/ 1 (* (cbrt (+ (+ (+ h2 h1) (* 2.0 h0)) 2.0)) (cbrt (+ (+ (+ h2 h1) (* 2.0 h0)) 2.0)))))
 (* (+ h2 h1) (/ 1 (sqrt (+ (+ (+ h2 h1) (* 2.0 h0)) 2.0))))
 (* (+ h2 h1) (/ 1 1))
 (* (+ h2 h1) (/ 1 1))
 (* (+ h2 h1) (/ (- h1 h2) (* (cbrt (+ (+ (+ h2 h1) (* 2.0 h0)) 2.0)) (cbrt (+ (+ (+ h2 h1) (* 2.0 h0)) 2.0)))))
 (* (+ h2 h1) (/ (- h1 h2) (sqrt (+ (+ (+ h2 h1) (* 2.0 h0)) 2.0))))
 (* (+ h2 h1) (/ (- h1 h2) 1))
 (* (+ h2 h1) (/ (- h1 h2) 1))
 (* (+ h2 h1) (/ (/ (- h1 h2) (+ (pow (+ h2 h1) 3) (pow (* 2.0 h0) 3))) (* (cbrt (+ (+ (+ h2 h1) (* 2.0 h0)) 2.0)) (cbrt (+ (+ (+ h2 h1) (* 2.0 h0)) 2.0)))))
 (* (+ h2 h1) (/ (/ (- h1 h2) (+ (pow (+ h2 h1) 3) (pow (* 2.0 h0) 3))) (sqrt (+ (+ (+ h2 h1) (* 2.0 h0)) 2.0))))
 (* (+ h2 h1) (/ (/ (- h1 h2) (+ (pow (+ h2 h1) 3) (pow (* 2.0 h0) 3))) 1))
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 (/ (/ (+ (sqrt h1) (sqrt h2)) 1) (* (cbrt (+ (+ (+ h2 h1) (* 2.0 h0)) 2.0)) (cbrt (+ (+ (+ h2 h1) (* 2.0 h0)) 2.0))))
 (/ (/ (- (sqrt h1) (sqrt h2)) (+ (+ h2 h1) (* 2.0 h0))) (cbrt (+ (+ (+ h2 h1) (* 2.0 h0)) 2.0)))
 (/ (/ (+ (sqrt h1) (sqrt h2)) 1) (sqrt (+ (+ (+ h2 h1) (* 2.0 h0)) 2.0)))
 (/ (/ (- (sqrt h1) (sqrt h2)) (+ (+ h2 h1) (* 2.0 h0))) (sqrt (+ (+ (+ h2 h1) (* 2.0 h0)) 2.0)))
 (/ (/ (+ (sqrt h1) (sqrt h2)) 1) 1)
 (/ (/ (- (sqrt h1) (sqrt h2)) (+ (+ h2 h1) (* 2.0 h0))) (+ (+ (+ h2 h1) (* 2.0 h0)) 2.0))
 (/ (/ (+ (sqrt h1) (sqrt h2)) 1) 1)
 (/ (/ (- (sqrt h1) (sqrt h2)) (+ (+ h2 h1) (* 2.0 h0))) (+ (+ (+ h2 h1) (* 2.0 h0)) 2.0))
 (/ (/ 1 (* (cbrt (+ (+ h2 h1) (* 2.0 h0))) (cbrt (+ (+ h2 h1) (* 2.0 h0))))) (* (cbrt (+ (+ (+ h2 h1) (* 2.0 h0)) 2.0)) (cbrt (+ (+ (+ h2 h1) (* 2.0 h0)) 2.0))))
 (/ (/ (- h1 h2) (cbrt (+ (+ h2 h1) (* 2.0 h0)))) (cbrt (+ (+ (+ h2 h1) (* 2.0 h0)) 2.0)))
 (/ (/ 1 (* (cbrt (+ (+ h2 h1) (* 2.0 h0))) (cbrt (+ (+ h2 h1) (* 2.0 h0))))) (sqrt (+ (+ (+ h2 h1) (* 2.0 h0)) 2.0)))
 (/ (/ (- h1 h2) (cbrt (+ (+ h2 h1) (* 2.0 h0)))) (sqrt (+ (+ (+ h2 h1) (* 2.0 h0)) 2.0)))
 (/ (/ 1 (* (cbrt (+ (+ h2 h1) (* 2.0 h0))) (cbrt (+ (+ h2 h1) (* 2.0 h0))))) 1)
 (/ (/ (- h1 h2) (cbrt (+ (+ h2 h1) (* 2.0 h0)))) (+ (+ (+ h2 h1) (* 2.0 h0)) 2.0))
 (/ (/ 1 (* (cbrt (+ (+ h2 h1) (* 2.0 h0))) (cbrt (+ (+ h2 h1) (* 2.0 h0))))) 1)
 (/ (/ (- h1 h2) (cbrt (+ (+ h2 h1) (* 2.0 h0)))) (+ (+ (+ h2 h1) (* 2.0 h0)) 2.0))
 (/ (/ 1 (sqrt (+ (+ h2 h1) (* 2.0 h0)))) (* (cbrt (+ (+ (+ h2 h1) (* 2.0 h0)) 2.0)) (cbrt (+ (+ (+ h2 h1) (* 2.0 h0)) 2.0))))
 (/ (/ (- h1 h2) (sqrt (+ (+ h2 h1) (* 2.0 h0)))) (cbrt (+ (+ (+ h2 h1) (* 2.0 h0)) 2.0)))
 (/ (/ 1 (sqrt (+ (+ h2 h1) (* 2.0 h0)))) (sqrt (+ (+ (+ h2 h1) (* 2.0 h0)) 2.0)))
 (/ (/ (- h1 h2) (sqrt (+ (+ h2 h1) (* 2.0 h0)))) (sqrt (+ (+ (+ h2 h1) (* 2.0 h0)) 2.0)))
 (/ (/ 1 (sqrt (+ (+ h2 h1) (* 2.0 h0)))) 1)
 (/ (/ (- h1 h2) (sqrt (+ (+ h2 h1) (* 2.0 h0)))) (+ (+ (+ h2 h1) (* 2.0 h0)) 2.0))
 (/ (/ 1 (sqrt (+ (+ h2 h1) (* 2.0 h0)))) 1)
 (/ (/ (- h1 h2) (sqrt (+ (+ h2 h1) (* 2.0 h0)))) (+ (+ (+ h2 h1) (* 2.0 h0)) 2.0))
 (/ (/ 1 1) (* (cbrt (+ (+ (+ h2 h1) (* 2.0 h0)) 2.0)) (cbrt (+ (+ (+ h2 h1) (* 2.0 h0)) 2.0))))
 (/ (/ (- h1 h2) (+ (+ h2 h1) (* 2.0 h0))) (cbrt (+ (+ (+ h2 h1) (* 2.0 h0)) 2.0)))
 (/ (/ 1 1) (sqrt (+ (+ (+ h2 h1) (* 2.0 h0)) 2.0)))
 (/ (/ (- h1 h2) (+ (+ h2 h1) (* 2.0 h0))) (sqrt (+ (+ (+ h2 h1) (* 2.0 h0)) 2.0)))
 (/ (/ 1 1) 1)
 (/ (/ (- h1 h2) (+ (+ h2 h1) (* 2.0 h0))) (+ (+ (+ h2 h1) (* 2.0 h0)) 2.0))
 (/ (/ 1 1) 1)
 (/ (/ (- h1 h2) (+ (+ h2 h1) (* 2.0 h0))) (+ (+ (+ h2 h1) (* 2.0 h0)) 2.0))
 (/ 1 (* (cbrt (+ (+ (+ h2 h1) (* 2.0 h0)) 2.0)) (cbrt (+ (+ (+ h2 h1) (* 2.0 h0)) 2.0))))
 (/ (/ (- h1 h2) (+ (+ h2 h1) (* 2.0 h0))) (cbrt (+ (+ (+ h2 h1) (* 2.0 h0)) 2.0)))
 (/ 1 (sqrt (+ (+ (+ h2 h1) (* 2.0 h0)) 2.0)))
 (/ (/ (- h1 h2) (+ (+ h2 h1) (* 2.0 h0))) (sqrt (+ (+ (+ h2 h1) (* 2.0 h0)) 2.0)))
 (/ 1 1)
 (/ (/ (- h1 h2) (+ (+ h2 h1) (* 2.0 h0))) (+ (+ (+ h2 h1) (* 2.0 h0)) 2.0))
 (/ 1 1)
 (/ (/ (- h1 h2) (+ (+ h2 h1) (* 2.0 h0))) (+ (+ (+ h2 h1) (* 2.0 h0)) 2.0))
 (/ (- h1 h2) (* (cbrt (+ (+ (+ h2 h1) (* 2.0 h0)) 2.0)) (cbrt (+ (+ (+ h2 h1) (* 2.0 h0)) 2.0))))
 (/ (/ 1 (+ (+ h2 h1) (* 2.0 h0))) (cbrt (+ (+ (+ h2 h1) (* 2.0 h0)) 2.0)))
 (/ (- h1 h2) (sqrt (+ (+ (+ h2 h1) (* 2.0 h0)) 2.0)))
 (/ (/ 1 (+ (+ h2 h1) (* 2.0 h0))) (sqrt (+ (+ (+ h2 h1) (* 2.0 h0)) 2.0)))
 (/ (- h1 h2) 1)
 (/ (/ 1 (+ (+ h2 h1) (* 2.0 h0))) (+ (+ (+ h2 h1) (* 2.0 h0)) 2.0))
 (/ (- h1 h2) 1)
 (/ (/ 1 (+ (+ h2 h1) (* 2.0 h0))) (+ (+ (+ h2 h1) (* 2.0 h0)) 2.0))
 (/ (/ (- h1 h2) (+ (pow (+ h2 h1) 3) (pow (* 2.0 h0) 3))) (* (cbrt (+ (+ (+ h2 h1) (* 2.0 h0)) 2.0)) (cbrt (+ (+ (+ h2 h1) (* 2.0 h0)) 2.0))))
 (/ (+ (* (+ h2 h1) (+ h2 h1)) (- (* (* 2.0 h0) (* 2.0 h0)) (* (+ h2 h1) (* 2.0 h0)))) (cbrt (+ (+ (+ h2 h1) (* 2.0 h0)) 2.0)))
 (/ (/ (- h1 h2) (+ (pow (+ h2 h1) 3) (pow (* 2.0 h0) 3))) (sqrt (+ (+ (+ h2 h1) (* 2.0 h0)) 2.0)))
 (/ (+ (* (+ h2 h1) (+ h2 h1)) (- (* (* 2.0 h0) (* 2.0 h0)) (* (+ h2 h1) (* 2.0 h0)))) (sqrt (+ (+ (+ h2 h1) (* 2.0 h0)) 2.0)))
 (/ (/ (- h1 h2) (+ (pow (+ h2 h1) 3) (pow (* 2.0 h0) 3))) 1)
 (/ (+ (* (+ h2 h1) (+ h2 h1)) (- (* (* 2.0 h0) (* 2.0 h0)) (* (+ h2 h1) (* 2.0 h0)))) (+ (+ (+ h2 h1) (* 2.0 h0)) 2.0))
 (/ (/ (- h1 h2) (+ (pow (+ h2 h1) 3) (pow (* 2.0 h0) 3))) 1)
 (/ (+ (* (+ h2 h1) (+ h2 h1)) (- (* (* 2.0 h0) (* 2.0 h0)) (* (+ h2 h1) (* 2.0 h0)))) (+ (+ (+ h2 h1) (* 2.0 h0)) 2.0))
 (/ (/ (- h1 h2) (- (* (+ h2 h1) (+ h2 h1)) (* (* 2.0 h0) (* 2.0 h0)))) (* (cbrt (+ (+ (+ h2 h1) (* 2.0 h0)) 2.0)) (cbrt (+ (+ (+ h2 h1) (* 2.0 h0)) 2.0))))
 (/ (- (+ h2 h1) (* 2.0 h0)) (cbrt (+ (+ (+ h2 h1) (* 2.0 h0)) 2.0)))
 (/ (/ (- h1 h2) (- (* (+ h2 h1) (+ h2 h1)) (* (* 2.0 h0) (* 2.0 h0)))) (sqrt (+ (+ (+ h2 h1) (* 2.0 h0)) 2.0)))
 (/ (- (+ h2 h1) (* 2.0 h0)) (sqrt (+ (+ (+ h2 h1) (* 2.0 h0)) 2.0)))
 (/ (/ (- h1 h2) (- (* (+ h2 h1) (+ h2 h1)) (* (* 2.0 h0) (* 2.0 h0)))) 1)
 (/ (- (+ h2 h1) (* 2.0 h0)) (+ (+ (+ h2 h1) (* 2.0 h0)) 2.0))
 (/ (/ (- h1 h2) (- (* (+ h2 h1) (+ h2 h1)) (* (* 2.0 h0) (* 2.0 h0)))) 1)
 (/ (- (+ h2 h1) (* 2.0 h0)) (+ (+ (+ h2 h1) (* 2.0 h0)) 2.0))
 (/ 1 (+ (+ (+ h2 h1) (* 2.0 h0)) 2.0))
 (/ (+ (+ (+ h2 h1) (* 2.0 h0)) 2.0) (/ (- h1 h2) (+ (+ h2 h1) (* 2.0 h0))))
 (/ (/ (- h1 h2) (+ (+ h2 h1) (* 2.0 h0))) (* (cbrt (+ (+ (+ h2 h1) (* 2.0 h0)) 2.0)) (cbrt (+ (+ (+ h2 h1) (* 2.0 h0)) 2.0))))
 (/ (/ (- h1 h2) (+ (+ h2 h1) (* 2.0 h0))) (sqrt (+ (+ (+ h2 h1) (* 2.0 h0)) 2.0)))
 (/ (/ (- h1 h2) (+ (+ h2 h1) (* 2.0 h0))) 1)
 (/ (/ (- h1 h2) (+ (+ h2 h1) (* 2.0 h0))) 1)
 (/ (+ (+ (+ h2 h1) (* 2.0 h0)) 2.0) (cbrt (/ (- h1 h2) (+ (+ h2 h1) (* 2.0 h0)))))
 (/ (+ (+ (+ h2 h1) (* 2.0 h0)) 2.0) (sqrt (/ (- h1 h2) (+ (+ h2 h1) (* 2.0 h0)))))
 (/ (+ (+ (+ h2 h1) (* 2.0 h0)) 2.0) (/ (cbrt (- h1 h2)) (cbrt (+ (+ h2 h1) (* 2.0 h0)))))
 (/ (+ (+ (+ h2 h1) (* 2.0 h0)) 2.0) (/ (cbrt (- h1 h2)) (sqrt (+ (+ h2 h1) (* 2.0 h0)))))
 (/ (+ (+ (+ h2 h1) (* 2.0 h0)) 2.0) (/ (cbrt (- h1 h2)) (+ (+ h2 h1) (* 2.0 h0))))
 (/ (+ (+ (+ h2 h1) (* 2.0 h0)) 2.0) (/ (sqrt (- h1 h2)) (cbrt (+ (+ h2 h1) (* 2.0 h0)))))
 (/ (+ (+ (+ h2 h1) (* 2.0 h0)) 2.0) (/ (sqrt (- h1 h2)) (sqrt (+ (+ h2 h1) (* 2.0 h0)))))
 (/ (+ (+ (+ h2 h1) (* 2.0 h0)) 2.0) (/ (sqrt (- h1 h2)) (+ (+ h2 h1) (* 2.0 h0))))
 (/ (+ (+ (+ h2 h1) (* 2.0 h0)) 2.0) (/ (- h1 h2) (cbrt (+ (+ h2 h1) (* 2.0 h0)))))
 (/ (+ (+ (+ h2 h1) (* 2.0 h0)) 2.0) (/ (- h1 h2) (sqrt (+ (+ h2 h1) (* 2.0 h0)))))
 (/ (+ (+ (+ h2 h1) (* 2.0 h0)) 2.0) (/ (- h1 h2) (+ (+ h2 h1) (* 2.0 h0))))
 (/ (+ (+ (+ h2 h1) (* 2.0 h0)) 2.0) (/ (- (sqrt h1) (sqrt h2)) (cbrt (+ (+ h2 h1) (* 2.0 h0)))))
 (/ (+ (+ (+ h2 h1) (* 2.0 h0)) 2.0) (/ (- (sqrt h1) (sqrt h2)) (sqrt (+ (+ h2 h1) (* 2.0 h0)))))
 (/ (+ (+ (+ h2 h1) (* 2.0 h0)) 2.0) (/ (- (sqrt h1) (sqrt h2)) (+ (+ h2 h1) (* 2.0 h0))))
 (/ (+ (+ (+ h2 h1) (* 2.0 h0)) 2.0) (/ (- h1 h2) (cbrt (+ (+ h2 h1) (* 2.0 h0)))))
 (/ (+ (+ (+ h2 h1) (* 2.0 h0)) 2.0) (/ (- h1 h2) (sqrt (+ (+ h2 h1) (* 2.0 h0)))))
 (/ (+ (+ (+ h2 h1) (* 2.0 h0)) 2.0) (/ (- h1 h2) (+ (+ h2 h1) (* 2.0 h0))))
 (/ (+ (+ (+ h2 h1) (* 2.0 h0)) 2.0) (/ (- h1 h2) (+ (+ h2 h1) (* 2.0 h0))))
 (/ (+ (+ (+ h2 h1) (* 2.0 h0)) 2.0) (/ 1 (+ (+ h2 h1) (* 2.0 h0))))
 (/ (+ (+ (+ h2 h1) (* 2.0 h0)) 2.0) (+ (* (+ h2 h1) (+ h2 h1)) (- (* (* 2.0 h0) (* 2.0 h0)) (* (+ h2 h1) (* 2.0 h0)))))
 (/ (+ (+ (+ h2 h1) (* 2.0 h0)) 2.0) (- (+ h2 h1) (* 2.0 h0)))
 (/ (/ (- h1 h2) (+ (+ h2 h1) (* 2.0 h0))) (+ (pow (+ (+ h2 h1) (* 2.0 h0)) 3) (pow 2.0 3)))
 (/ (/ (- h1 h2) (+ (+ h2 h1) (* 2.0 h0))) (- (* (+ (+ h2 h1) (* 2.0 h0)) (+ (+ h2 h1) (* 2.0 h0))) (* 2.0 2.0)))
 (* (+ (+ (+ h2 h1) (* 2.0 h0)) 2.0) (+ (+ h2 h1) (* 2.0 h0)))
 (- (log (- h1 h2)) (log (+ (+ h2 h1) (* 2.0 h0))))
 (log (/ (- h1 h2) (+ (+ h2 h1) (* 2.0 h0))))
 (exp (/ (- h1 h2) (+ (+ h2 h1) (* 2.0 h0))))
 (/ (* (* (- h1 h2) (- h1 h2)) (- h1 h2)) (* (* (+ (+ h2 h1) (* 2.0 h0)) (+ (+ h2 h1) (* 2.0 h0))) (+ (+ h2 h1) (* 2.0 h0))))
 (* (cbrt (/ (- h1 h2) (+ (+ h2 h1) (* 2.0 h0)))) (cbrt (/ (- h1 h2) (+ (+ h2 h1) (* 2.0 h0)))))
 (cbrt (/ (- h1 h2) (+ (+ h2 h1) (* 2.0 h0))))
 (* (* (/ (- h1 h2) (+ (+ h2 h1) (* 2.0 h0))) (/ (- h1 h2) (+ (+ h2 h1) (* 2.0 h0)))) (/ (- h1 h2) (+ (+ h2 h1) (* 2.0 h0))))
 (sqrt (/ (- h1 h2) (+ (+ h2 h1) (* 2.0 h0))))
 (sqrt (/ (- h1 h2) (+ (+ h2 h1) (* 2.0 h0))))
 (- (- h1 h2))
 (- (+ (+ h2 h1) (* 2.0 h0)))
 (/ h1 (+ (+ h2 h1) (* 2.0 h0)))
 (/ h2 (+ (+ h2 h1) (* 2.0 h0)))
 (/ (* (cbrt (- h1 h2)) (cbrt (- h1 h2))) (* (cbrt (+ (+ h2 h1) (* 2.0 h0))) (cbrt (+ (+ h2 h1) (* 2.0 h0)))))
 (/ (cbrt (- h1 h2)) (cbrt (+ (+ h2 h1) (* 2.0 h0))))
 (/ (* (cbrt (- h1 h2)) (cbrt (- h1 h2))) (sqrt (+ (+ h2 h1) (* 2.0 h0))))
 (/ (cbrt (- h1 h2)) (sqrt (+ (+ h2 h1) (* 2.0 h0))))
 (/ (* (cbrt (- h1 h2)) (cbrt (- h1 h2))) 1)
 (/ (cbrt (- h1 h2)) (+ (+ h2 h1) (* 2.0 h0)))
 (/ (sqrt (- h1 h2)) (* (cbrt (+ (+ h2 h1) (* 2.0 h0))) (cbrt (+ (+ h2 h1) (* 2.0 h0)))))
 (/ (sqrt (- h1 h2)) (cbrt (+ (+ h2 h1) (* 2.0 h0))))
 (/ (sqrt (- h1 h2)) (sqrt (+ (+ h2 h1) (* 2.0 h0))))
 (/ (sqrt (- h1 h2)) (sqrt (+ (+ h2 h1) (* 2.0 h0))))
 (/ (sqrt (- h1 h2)) 1)
 (/ (sqrt (- h1 h2)) (+ (+ h2 h1) (* 2.0 h0)))
 (/ 1 (* (cbrt (+ (+ h2 h1) (* 2.0 h0))) (cbrt (+ (+ h2 h1) (* 2.0 h0)))))
 (/ (- h1 h2) (cbrt (+ (+ h2 h1) (* 2.0 h0))))
 (/ 1 (sqrt (+ (+ h2 h1) (* 2.0 h0))))
 (/ (- h1 h2) (sqrt (+ (+ h2 h1) (* 2.0 h0))))
 (/ 1 1)
 (/ (- h1 h2) (+ (+ h2 h1) (* 2.0 h0)))
 (/ (+ (sqrt h1) (sqrt h2)) (* (cbrt (+ (+ h2 h1) (* 2.0 h0))) (cbrt (+ (+ h2 h1) (* 2.0 h0)))))
 (/ (- (sqrt h1) (sqrt h2)) (cbrt (+ (+ h2 h1) (* 2.0 h0))))
 (/ (+ (sqrt h1) (sqrt h2)) (sqrt (+ (+ h2 h1) (* 2.0 h0))))
 (/ (- (sqrt h1) (sqrt h2)) (sqrt (+ (+ h2 h1) (* 2.0 h0))))
 (/ (+ (sqrt h1) (sqrt h2)) 1)
 (/ (- (sqrt h1) (sqrt h2)) (+ (+ h2 h1) (* 2.0 h0)))
 (/ 1 (* (cbrt (+ (+ h2 h1) (* 2.0 h0))) (cbrt (+ (+ h2 h1) (* 2.0 h0)))))
 (/ (- h1 h2) (cbrt (+ (+ h2 h1) (* 2.0 h0))))
 (/ 1 (sqrt (+ (+ h2 h1) (* 2.0 h0))))
 (/ (- h1 h2) (sqrt (+ (+ h2 h1) (* 2.0 h0))))
 (/ 1 1)
 (/ (- h1 h2) (+ (+ h2 h1) (* 2.0 h0)))
 (/ 1 (+ (+ h2 h1) (* 2.0 h0)))
 (/ (+ (+ h2 h1) (* 2.0 h0)) (- h1 h2))
 (/ (- h1 h2) (* (cbrt (+ (+ h2 h1) (* 2.0 h0))) (cbrt (+ (+ h2 h1) (* 2.0 h0)))))
 (/ (- h1 h2) (sqrt (+ (+ h2 h1) (* 2.0 h0))))
 (/ (- h1 h2) 1)
 (/ (+ (+ h2 h1) (* 2.0 h0)) (cbrt (- h1 h2)))
 (/ (+ (+ h2 h1) (* 2.0 h0)) (sqrt (- h1 h2)))
 (/ (+ (+ h2 h1) (* 2.0 h0)) (- h1 h2))
 (/ (+ (+ h2 h1) (* 2.0 h0)) (- (sqrt h1) (sqrt h2)))
 (/ (+ (+ h2 h1) (* 2.0 h0)) (- h1 h2))
 (/ (- h1 h2) (+ (pow (+ h2 h1) 3) (pow (* 2.0 h0) 3)))
 (/ (- h1 h2) (- (* (+ h2 h1) (+ h2 h1)) (* (* 2.0 h0) (* 2.0 h0))))
 (* (+ (+ h2 h1) (* 2.0 h0)) (+ (* h1 h1) (+ (* h2 h2) (* h1 h2))))
 (* (+ (+ h2 h1) (* 2.0 h0)) (+ h1 h2))
 (- (* (/ 1.0 4.0) (pow h2 2)) (+ (* (/ 1.0 8.0) (pow h2 3)) (* (/ 1.0 4.0) (pow h1 2))))
 0
 0
 (- (+ 1.0 (* (/ 1.0 4.0) (pow h2 2))) (* (/ 1.0 4.0) (pow h1 2)))
 (- (+ (* 2.0 (/ 1 h2)) (* 8.0 (/ 1 (pow h2 3)))) (* 4.0 (/ 1 (pow h2 2))))
 (- (+ (* 2.0 (/ 1 h2)) (* 8.0 (/ 1 (pow h2 3)))) (* 4.0 (/ 1 (pow h2 2))))
 (- (+ (* (/ 1.0 4.0) h2) (* (/ 1.0 8.0) (pow h1 2))) (* (/ 1.0 4.0) h1))
 0
 0
 0
 0
 0
12.589 * * * [progress]: adding candidates to table
13.833 * [progress]: [Phase 3 of 3] Extracting.
13.833 * * [regime]: Finding splitpoints for: (#<alt (λ (alpha beta i) (/ (cbrt (pow (+ (* (+ 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)))) (cbrt (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))))) 1.0) 3)) 2.0))> #<alt (λ (alpha beta i) (/ (* 1 (- (+ (* 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) (/ (/ (- 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) (* (/ (/ (* (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))))) 1.0) 3)) 2.0))> #<alt (λ (alpha beta i) (/ (cbrt (pow (+ (* (* (/ (* (cbrt (- beta alpha)) (cbrt (- beta alpha))) (sqrt (+ (+ alpha beta) (* 2.0 i)))) (+ alpha beta)) (/ (/ (cbrt (- beta alpha)) (sqrt (+ (+ 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) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))) (/ (/ 1 (+ (+ 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 (+ (* (* (+ 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))))) (/ (/ (cbrt (- beta alpha)) (cbrt (+ (+ alpha beta) (* 2.0 i)))) (cbrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))) 1.0) 3)) 2.0))> #<alt (λ (alpha beta i) (/ (+ (* (/ (/ (+ 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)))) 1.0) 2.0))> #<alt (λ (alpha beta i) (/ (* 1 (+ (* (+ alpha beta) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) 1.0)) 2.0))>)
13.852 * * * [regime-changes]: Trying 4 branch expressions: ((* 2.0 i) i beta alpha)
13.852 * * * * [regimes]: Trying to branch on (* 2.0 i) from (#<alt (λ (alpha beta i) (/ (cbrt (pow (+ (* (+ 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)))) (cbrt (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))))) 1.0) 3)) 2.0))> #<alt (λ (alpha beta i) (/ (* 1 (- (+ (* 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) (/ (/ (- 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) (* (/ (/ (* (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))))) 1.0) 3)) 2.0))> #<alt (λ (alpha beta i) (/ (cbrt (pow (+ (* (* (/ (* (cbrt (- beta alpha)) (cbrt (- beta alpha))) (sqrt (+ (+ alpha beta) (* 2.0 i)))) (+ alpha beta)) (/ (/ (cbrt (- beta alpha)) (sqrt (+ (+ 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) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))) (/ (/ 1 (+ (+ 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 (+ (* (* (+ 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))))) (/ (/ (cbrt (- beta alpha)) (cbrt (+ (+ alpha beta) (* 2.0 i)))) (cbrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))) 1.0) 3)) 2.0))> #<alt (λ (alpha beta i) (/ (+ (* (/ (/ (+ 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)))) 1.0) 2.0))> #<alt (λ (alpha beta i) (/ (* 1 (+ (* (+ alpha beta) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) 1.0)) 2.0))>)
13.941 * * * * [regimes]: Trying to branch on i from (#<alt (λ (alpha beta i) (/ (cbrt (pow (+ (* (+ 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)))) (cbrt (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))))) 1.0) 3)) 2.0))> #<alt (λ (alpha beta i) (/ (* 1 (- (+ (* 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) (/ (/ (- 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) (* (/ (/ (* (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))))) 1.0) 3)) 2.0))> #<alt (λ (alpha beta i) (/ (cbrt (pow (+ (* (* (/ (* (cbrt (- beta alpha)) (cbrt (- beta alpha))) (sqrt (+ (+ alpha beta) (* 2.0 i)))) (+ alpha beta)) (/ (/ (cbrt (- beta alpha)) (sqrt (+ (+ 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) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))) (/ (/ 1 (+ (+ 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 (+ (* (* (+ 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))))) (/ (/ (cbrt (- beta alpha)) (cbrt (+ (+ alpha beta) (* 2.0 i)))) (cbrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))) 1.0) 3)) 2.0))> #<alt (λ (alpha beta i) (/ (+ (* (/ (/ (+ 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)))) 1.0) 2.0))> #<alt (λ (alpha beta i) (/ (* 1 (+ (* (+ alpha beta) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) 1.0)) 2.0))>)
14.022 * * * * [regimes]: Trying to branch on beta from (#<alt (λ (alpha beta i) (/ (cbrt (pow (+ (* (+ 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)))) (cbrt (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))))) 1.0) 3)) 2.0))> #<alt (λ (alpha beta i) (/ (* 1 (- (+ (* 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) (/ (/ (- 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) (* (/ (/ (* (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))))) 1.0) 3)) 2.0))> #<alt (λ (alpha beta i) (/ (cbrt (pow (+ (* (* (/ (* (cbrt (- beta alpha)) (cbrt (- beta alpha))) (sqrt (+ (+ alpha beta) (* 2.0 i)))) (+ alpha beta)) (/ (/ (cbrt (- beta alpha)) (sqrt (+ (+ 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) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))) (/ (/ 1 (+ (+ 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 (+ (* (* (+ 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))))) (/ (/ (cbrt (- beta alpha)) (cbrt (+ (+ alpha beta) (* 2.0 i)))) (cbrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))) 1.0) 3)) 2.0))> #<alt (λ (alpha beta i) (/ (+ (* (/ (/ (+ 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)))) 1.0) 2.0))> #<alt (λ (alpha beta i) (/ (* 1 (+ (* (+ alpha beta) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) 1.0)) 2.0))>)
14.089 * * * * [regimes]: Trying to branch on alpha from (#<alt (λ (alpha beta i) (/ (cbrt (pow (+ (* (+ 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)))) (cbrt (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))))) 1.0) 3)) 2.0))> #<alt (λ (alpha beta i) (/ (* 1 (- (+ (* 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) (/ (/ (- 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) (* (/ (/ (* (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))))) 1.0) 3)) 2.0))> #<alt (λ (alpha beta i) (/ (cbrt (pow (+ (* (* (/ (* (cbrt (- beta alpha)) (cbrt (- beta alpha))) (sqrt (+ (+ alpha beta) (* 2.0 i)))) (+ alpha beta)) (/ (/ (cbrt (- beta alpha)) (sqrt (+ (+ 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) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))) (/ (/ 1 (+ (+ 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 (+ (* (* (+ 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))))) (/ (/ (cbrt (- beta alpha)) (cbrt (+ (+ alpha beta) (* 2.0 i)))) (cbrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))) 1.0) 3)) 2.0))> #<alt (λ (alpha beta i) (/ (+ (* (/ (/ (+ 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)))) 1.0) 2.0))> #<alt (λ (alpha beta i) (/ (* 1 (+ (* (+ alpha beta) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) 1.0)) 2.0))>)
14.155 * * * [regime]: Found split indices: #<option (#s(si 0 226) #s(si 1 255))>
14.156 * [binary-search]: Improving bounds with binary search for alpha and (#<alt (λ (alpha beta i) (/ (cbrt (pow (+ (* (+ 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)))) (cbrt (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))))) 1.0) 3)) 2.0))> #<alt (λ (alpha beta i) (/ (* 1 (- (+ (* 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) (/ (/ (- 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) (* (/ (/ (* (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))))) 1.0) 3)) 2.0))> #<alt (λ (alpha beta i) (/ (cbrt (pow (+ (* (* (/ (* (cbrt (- beta alpha)) (cbrt (- beta alpha))) (sqrt (+ (+ alpha beta) (* 2.0 i)))) (+ alpha beta)) (/ (/ (cbrt (- beta alpha)) (sqrt (+ (+ 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) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))) (/ (/ 1 (+ (+ 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 (+ (* (* (+ 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))))) (/ (/ (cbrt (- beta alpha)) (cbrt (+ (+ alpha beta) (* 2.0 i)))) (cbrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))) 1.0) 3)) 2.0))> #<alt (λ (alpha beta i) (/ (+ (* (/ (/ (+ 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)))) 1.0) 2.0))> #<alt (λ (alpha beta i) (/ (* 1 (+ (* (+ alpha beta) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) 1.0)) 2.0))>)
14.294 * [regimes]: Found splitpoints: (#s(sp 0 alpha 1.8237464233693796e+220) #s(sp 1 alpha +nan.0)) , with alts (#<alt (λ (alpha beta i) (/ (cbrt (pow (+ (* (+ 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)))) (cbrt (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))))) 1.0) 3)) 2.0))> #<alt (λ (alpha beta i) (/ (* 1 (- (+ (* 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) (/ (/ (- 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) (* (/ (/ (* (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))))) 1.0) 3)) 2.0))> #<alt (λ (alpha beta i) (/ (cbrt (pow (+ (* (* (/ (* (cbrt (- beta alpha)) (cbrt (- beta alpha))) (sqrt (+ (+ alpha beta) (* 2.0 i)))) (+ alpha beta)) (/ (/ (cbrt (- beta alpha)) (sqrt (+ (+ 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) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))) (/ (/ 1 (+ (+ 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 (+ (* (* (+ 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))))) (/ (/ (cbrt (- beta alpha)) (cbrt (+ (+ alpha beta) (* 2.0 i)))) (cbrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))) 1.0) 3)) 2.0))> #<alt (λ (alpha beta i) (/ (+ (* (/ (/ (+ 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)))) 1.0) 2.0))> #<alt (λ (alpha beta i) (/ (* 1 (+ (* (+ alpha beta) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) 1.0)) 2.0))>)
14.294 * [simplify]: Simplifying:
  (if (<= alpha 1.8237464233693796e+220) (/ (cbrt (pow (+ (* (+ 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)))) (cbrt (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))))) 1.0) 3)) 2.0) (/ (* 1 (- (+ (* 2.0 (/ 1 alpha)) (* 8.0 (/ 1 (pow alpha 3)))) (* 4.0 (/ 1 (pow alpha 2))))) 2.0))
14.294 * [simplify]: Sending expressions to egg_math:
 (if (<= h0 1.8237464233693796e+220) (/ (cbrt (pow (+ (* (+ h0 h2) (* (* (cbrt (/ (/ (- h2 h0) (+ (+ h0 h2) (* 2.0 h1))) (+ (+ (+ h0 h2) (* 2.0 h1)) 2.0))) (cbrt (/ (/ (- h2 h0) (+ (+ h0 h2) (* 2.0 h1))) (+ (+ (+ h0 h2) (* 2.0 h1)) 2.0)))) (cbrt (/ (/ (- h2 h0) (+ (+ h0 h2) (* 2.0 h1))) (+ (+ (+ h0 h2) (* 2.0 h1)) 2.0))))) 1.0) 3)) 2.0) (/ (* 1 (- (+ (* 2.0 (/ 1 h0)) (* 8.0 (/ 1 (pow h0 3)))) (* 4.0 (/ 1 (pow h0 2))))) 2.0))
17.651 * [regime-testing]: Baseline error score: 12.59139500377161
17.656 * [regime-testing]: Oracle error score: 6.152877323381408
17.664 * [regime-testing]: End program error score: 11.622513219318101