* [misc]progress:  [Phase 1 of 3] Setting up.
* * * [misc]progress:  [1/2] Preparing points
* * * [misc]progress:  [2/2] Setting up program.
* [enter]simplify:  Simplifying (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (51 enodes)
* * [misc]simplify:  iters left: 4 (160 enodes)
* * [misc]simplify:  iters left: 3 (454 enodes)
* [exit]simplify:  Simplified to (/ (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0))
* [misc]progress:  [Phase 2 of 3] Improving.
* * [misc]progress:  iteration 1 / 2
* * * [misc]progress:  picking best candidate
* * * * [misc]pick:  Picked  #<alt-delta (λ (alpha beta i) (/ (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* * * [misc]progress:  localizing error
* * * [misc]progress:  generating series expansions
* * * * [misc]progress:  [ 1 / 4 ] generating series at (2)
* [misc]approximate:  Taking taylor expansion of (/ (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)) in (beta alpha i) around 0
* [misc]taylor:  Taking taylor expansion of (/ (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) in i
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (+ (+ beta alpha) i) in i
* [misc]taylor:  Taking taylor expansion of (+ beta alpha) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ beta alpha) into (+ beta alpha)
* [misc]backup-simplify:  Simplify (+ (+ beta alpha) 0) into (+ beta alpha)
* [misc]backup-simplify:  Simplify (+ beta (fma i 2 alpha)) into (+ beta (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (/ (+ beta alpha) (+ beta (fma i 2 alpha))) into (/ (+ beta alpha) (+ beta (fma i 2 alpha)))
* [misc]taylor:  Taking taylor expansion of (fma i (+ (+ beta alpha) i) (* alpha beta)) in i
* [misc]backup-simplify:  Simplify (fma i (+ (+ beta alpha) i) (* alpha beta)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (/ i (+ beta (fma i 2 alpha))) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ beta (fma i 2 alpha)) into (+ beta (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (/ 1 (+ beta (fma i 2 alpha))) into (/ 1 (+ beta (fma i 2 alpha)))
* [misc]taylor:  Taking taylor expansion of (- (sqr (+ beta (fma i 2 alpha))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (sqr (+ beta (fma i 2 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (/ (+ beta alpha) (+ beta (fma i 2 alpha))) (fma i (+ beta (+ alpha i)) (* beta alpha))) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (+ beta alpha)) (+ beta (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (* (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (+ beta alpha)) (+ beta (fma i 2 alpha))) (/ 1 (+ beta (fma i 2 alpha)))) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (+ beta alpha)) (sqr (+ beta (fma i 2 alpha))))
* [misc]backup-simplify:  Simplify (+ beta (fma i 2 alpha)) into (+ beta (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* (+ beta (fma i 2 alpha)) (+ beta (fma i 2 alpha))) into (sqr (+ beta (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (+ beta (fma i 2 alpha))) (- 1.0)) into (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0)
* [misc]backup-simplify:  Simplify (/ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (+ beta alpha)) (sqr (+ beta (fma i 2 alpha)))) (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0)) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (+ beta alpha)) (* (sqr (+ beta (fma i 2 alpha))) (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0)))
* [misc]taylor:  Taking taylor expansion of (/ (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ beta alpha) i) in alpha
* [misc]taylor:  Taking taylor expansion of (+ beta alpha) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (+ beta i) into (+ beta i)
* [misc]backup-simplify:  Simplify (+ beta (fma i 2 alpha)) into (+ beta (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (/ (+ beta i) (+ beta (fma i 2 alpha))) into (/ (+ beta i) (+ beta (fma i 2 alpha)))
* [misc]taylor:  Taking taylor expansion of (fma i (+ (+ beta alpha) i) (* alpha beta)) in alpha
* [misc]backup-simplify:  Simplify (fma i (+ (+ beta alpha) i) (* alpha beta)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (/ i (+ beta (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ beta (fma i 2 alpha)) into (+ beta (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (/ i (+ beta (fma i 2 alpha))) into (/ i (+ beta (fma i 2 alpha)))
* [misc]taylor:  Taking taylor expansion of (- (sqr (+ beta (fma i 2 alpha))) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (+ beta (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (/ (+ beta i) (+ beta (fma i 2 alpha))) (fma i (+ beta (+ alpha i)) (* beta alpha))) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (+ beta i)) (+ beta (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (* (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (+ beta i)) (+ beta (fma i 2 alpha))) (/ i (+ beta (fma i 2 alpha)))) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* i (+ beta i))) (sqr (+ beta (fma i 2 alpha))))
* [misc]backup-simplify:  Simplify (+ beta (fma i 2 alpha)) into (+ beta (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* (+ beta (fma i 2 alpha)) (+ beta (fma i 2 alpha))) into (sqr (+ beta (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (+ beta (fma i 2 alpha))) (- 1.0)) into (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0)
* [misc]backup-simplify:  Simplify (/ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* i (+ beta i))) (sqr (+ beta (fma i 2 alpha)))) (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0)) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* i (+ beta i))) (* (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0) (sqr (+ beta (fma i 2 alpha)))))
* [misc]taylor:  Taking taylor expansion of (/ (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)) in beta
* [misc]taylor:  Taking taylor expansion of (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ beta alpha) i) in beta
* [misc]taylor:  Taking taylor expansion of (+ beta alpha) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in beta
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ 0 alpha) into alpha
* [misc]backup-simplify:  Simplify (+ alpha i) into (+ alpha i)
* [misc]backup-simplify:  Simplify (+ 0 (fma i 2 alpha)) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (/ (+ alpha i) (fma i 2 alpha)) into (/ (+ alpha i) (fma i 2 alpha))
* [misc]taylor:  Taking taylor expansion of (fma i (+ (+ beta alpha) i) (* alpha beta)) in beta
* [misc]backup-simplify:  Simplify (fma i (+ (+ beta alpha) i) (* alpha beta)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (/ i (+ beta (fma i 2 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in beta
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ 0 (fma i 2 alpha)) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (/ i (fma i 2 alpha)) into (/ i (fma i 2 alpha))
* [misc]taylor:  Taking taylor expansion of (- (sqr (+ beta (fma i 2 alpha))) 1.0) in beta
* [misc]taylor:  Taking taylor expansion of (sqr (+ beta (fma i 2 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in beta
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (/ (+ alpha i) (fma i 2 alpha)) (fma i (+ beta (+ alpha i)) (* beta alpha))) into (/ (* (+ alpha i) (fma i (+ beta (+ alpha i)) (* beta alpha))) (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* (/ (* (+ alpha i) (fma i (+ beta (+ alpha i)) (* beta alpha))) (fma i 2 alpha)) (/ i (fma i 2 alpha))) into (/ (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (sqr (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (+ 0 (fma i 2 alpha)) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (/ (/ (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (sqr (fma i 2 alpha))) (- (sqr (fma i 2 alpha)) 1.0)) into (/ (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]taylor:  Taking taylor expansion of (/ (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)) in beta
* [misc]taylor:  Taking taylor expansion of (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ beta alpha) i) in beta
* [misc]taylor:  Taking taylor expansion of (+ beta alpha) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in beta
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ 0 alpha) into alpha
* [misc]backup-simplify:  Simplify (+ alpha i) into (+ alpha i)
* [misc]backup-simplify:  Simplify (+ 0 (fma i 2 alpha)) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (/ (+ alpha i) (fma i 2 alpha)) into (/ (+ alpha i) (fma i 2 alpha))
* [misc]taylor:  Taking taylor expansion of (fma i (+ (+ beta alpha) i) (* alpha beta)) in beta
* [misc]backup-simplify:  Simplify (fma i (+ (+ beta alpha) i) (* alpha beta)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (/ i (+ beta (fma i 2 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in beta
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ 0 (fma i 2 alpha)) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (/ i (fma i 2 alpha)) into (/ i (fma i 2 alpha))
* [misc]taylor:  Taking taylor expansion of (- (sqr (+ beta (fma i 2 alpha))) 1.0) in beta
* [misc]taylor:  Taking taylor expansion of (sqr (+ beta (fma i 2 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in beta
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (/ (+ alpha i) (fma i 2 alpha)) (fma i (+ beta (+ alpha i)) (* beta alpha))) into (/ (* (+ alpha i) (fma i (+ beta (+ alpha i)) (* beta alpha))) (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* (/ (* (+ alpha i) (fma i (+ beta (+ alpha i)) (* beta alpha))) (fma i 2 alpha)) (/ i (fma i 2 alpha))) into (/ (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (sqr (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (+ 0 (fma i 2 alpha)) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (/ (/ (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (sqr (fma i 2 alpha))) (- (sqr (fma i 2 alpha)) 1.0)) into (/ (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]taylor:  Taking taylor expansion of (/ (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (+ 0 i) into i
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) into (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)
* [misc]backup-simplify:  Simplify (* i (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) into (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)) into (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]taylor:  Taking taylor expansion of (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) in i
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in i
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (sqr i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 1) (+ (* 0 0) (* 0 0))) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)) into (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (- (/ 0 (fma i 2 alpha)) (+ (* (/ i (fma i 2 alpha)) (/ 1 (fma i 2 alpha))))) into (- (/ i (sqr (fma i 2 alpha))))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (- (/ 1 (fma i 2 alpha)) (+ (* (/ (+ alpha i) (fma i 2 alpha)) (/ 1 (fma i 2 alpha))))) into (- (/ 1 (fma i 2 alpha)) (+ (/ i (sqr (fma i 2 alpha))) (/ alpha (sqr (fma i 2 alpha)))))
* [misc]backup-simplify:  Simplify (+ (* (/ (+ alpha i) (fma i 2 alpha)) 0) (* (- (/ 1 (fma i 2 alpha)) (+ (/ i (sqr (fma i 2 alpha))) (/ alpha (sqr (fma i 2 alpha))))) (fma i (+ beta (+ alpha i)) (* beta alpha)))) into (- (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha)) (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) alpha) (sqr (fma i 2 alpha))) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha)))))
* [misc]backup-simplify:  Simplify (+ (* (/ (* (+ alpha i) (fma i (+ beta (+ alpha i)) (* beta alpha))) (fma i 2 alpha)) (- (/ i (sqr (fma i 2 alpha))))) (* (- (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha)) (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) alpha) (sqr (fma i 2 alpha))) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha))))) (/ i (fma i 2 alpha)))) into (- (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha))) (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (fma i 2 alpha) 3))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (pow (fma i 2 alpha) 3)))))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 1) (* 1 (fma i 2 alpha))) into (* 2 (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 (fma i 2 alpha)) 0) into (* 2 (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- (/ (- (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha))) (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (fma i 2 alpha) 3))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (pow (fma i 2 alpha) 3))))) (- (sqr (fma i 2 alpha)) 1.0)) (+ (* (/ (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (/ (* 2 (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))))) into (- (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0))))))))
* [misc]taylor:  Taking taylor expansion of (- (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) into (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)) into (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]taylor:  Taking taylor expansion of (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (sqr i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (sqr (- (sqr (fma i 2 alpha)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) into (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (- (sqr (fma i 2 alpha)) 1.0) (- (sqr (fma i 2 alpha)) 1.0)) into (sqr (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))) into (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))
* [misc]taylor:  Taking taylor expansion of (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (* alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (pow (fma i 2 alpha) 3) in alpha
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (fma i 2 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 3 (log (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of 3 in alpha
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (log (fma i 2 alpha)) into (log (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* 3 (log (fma i 2 alpha))) into (* 3 (log (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (fma i 2 alpha)))) into (pow (fma i 2 alpha) 3)
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* 0 i) into 0
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 i)) into i
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* 0 0)) into (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)) into (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0))) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]taylor:  Taking taylor expansion of (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (* alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (sqr (- (sqr (fma i 2 alpha)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* 0 i) into 0
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 i)) into i
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* 0 0)) into (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (- (sqr (fma i 2 alpha)) 1.0) (- (sqr (fma i 2 alpha)) 1.0)) into (sqr (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))) into (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (sqr i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (pow (fma i 2 alpha) 3) in alpha
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (fma i 2 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 3 (log (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of 3 in alpha
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (log (fma i 2 alpha)) into (log (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* 3 (log (fma i 2 alpha))) into (* 3 (log (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (fma i 2 alpha)))) into (pow (fma i 2 alpha) 3)
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) into (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)) into (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0))) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) into (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))
* [misc]backup-simplify:  Simplify (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)))) into (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0))))
* [misc]backup-simplify:  Simplify (+ 0 (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0))))) into (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0))))
* [misc]backup-simplify:  Simplify (+ 0 (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0))))) into (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0))))
* [misc]backup-simplify:  Simplify (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0))))) into (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))))
* [misc]backup-simplify:  Simplify (- (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))))) into (- (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))))
* [misc]backup-simplify:  Simplify (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (- (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))))) into (- (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0))))))
* [misc]taylor:  Taking taylor expansion of (- (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)))))) in i
* [misc]taylor:  Taking taylor expansion of (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) in i
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in i
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 1) (* 0 0)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)) into (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]taylor:  Taking taylor expansion of (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) in i
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in i
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (sqr i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (sqr (- (sqr (fma i 2 alpha)) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 1) (+ (* 0 0) (* 0 0))) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (- (sqr (fma i 2 alpha)) 1.0) (- (sqr (fma i 2 alpha)) 1.0)) into (sqr (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))) into (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) in i
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in i
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (sqr i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (pow (fma i 2 alpha) 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (fma i 2 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log (fma i 2 alpha))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (log (fma i 2 alpha)) into (log (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* 3 (log (fma i 2 alpha))) into (* 3 (log (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (fma i 2 alpha)))) into (pow (fma i 2 alpha) 3)
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 1) (+ (* 0 0) (* 0 0))) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)) into (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0))) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (+ (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) 0) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) (* 0 i)) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ (* i 0) (* 1 (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i))) into (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 0) (* 0 (fma i 2 alpha))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 0) (* 0 (fma i 2 alpha))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (fma i 2 alpha)) 0) (* 0 (- (sqr (fma i 2 alpha)) 1.0))) into 0
* [misc]backup-simplify:  Simplify (- (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (+ (* (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (/ 0 (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))))) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]taylor:  Taking taylor expansion of (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) in i
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in i
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 1) (* 0 0)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)) into (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (+ (* (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (sqr (* i (* 1 1)))) (+ (* (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (* i (* alpha 1))) (* (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (* i (* 1 beta))))) into (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* beta i)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))))
* [misc]approximate:  Taking taylor expansion of (/ (* (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (- (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0)) in (beta alpha i) around 0
* [misc]taylor:  Taking taylor expansion of (/ (* (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (- (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (* (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) in i
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) in i
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (/ 1 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) into (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) into (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) into (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) into (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (- (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (* (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) into (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) into (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (- 1.0)) into (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0)
* [misc]backup-simplify:  Simplify (/ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0)) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0)))
* [misc]taylor:  Taking taylor expansion of (/ (* (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (- (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (* (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (/ 1 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) into (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) into (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) into (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) into (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))
* [misc]taylor:  Taking taylor expansion of (- (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (* (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i))
* [misc]backup-simplify:  Simplify (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) into (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) into (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (- 1.0)) into (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0)
* [misc]backup-simplify:  Simplify (/ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i)) (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0)) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (* i (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0))))
* [misc]taylor:  Taking taylor expansion of (/ (* (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (- (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0)) in beta
* [misc]taylor:  Taking taylor expansion of (* (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (/ 1 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (/ 1 i) 1) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (- (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0) in beta
* [misc]taylor:  Taking taylor expansion of (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* 1 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (/ 1 i)) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) 1) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)
* [misc]taylor:  Taking taylor expansion of (/ (* (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (- (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0)) in beta
* [misc]taylor:  Taking taylor expansion of (* (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (/ 1 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (/ 1 i) 1) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (- (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0) in beta
* [misc]taylor:  Taking taylor expansion of (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* 1 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (/ 1 i)) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) 1) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (fma (/ 1 i) 2 (/ 1 alpha))) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (/ 1 i) (/ (fma (/ 1 i) 2 (/ 1 alpha)) 1)))) into (- (/ (fma (/ 1 i) 2 (/ 1 alpha)) i))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 alpha)) into (/ 1 alpha)
* [misc]backup-simplify:  Simplify (+ (/ 1 alpha) (/ 1 i)) into (+ (/ 1 i) (/ 1 alpha))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (fma (/ 1 i) 2 (/ 1 alpha))) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (- (/ (+ (/ 1 i) (/ 1 alpha)) 1) (+ (* 1 (/ (fma (/ 1 i) 2 (/ 1 alpha)) 1)))) into (- (+ (/ 1 i) (/ 1 alpha)) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* (- (+ (/ 1 i) (/ 1 alpha)) (fma (/ 1 i) 2 (/ 1 alpha))) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))) into (- (+ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) alpha)) (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (+ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (- (/ (fma (/ 1 i) 2 (/ 1 alpha)) i))) (* (- (+ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) alpha)) (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))) (/ 1 i))) into (- (+ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i))) (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (fma (/ 1 i) 2 (/ 1 alpha))) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (* 1 (fma (/ 1 i) 2 (/ 1 alpha))) (* (fma (/ 1 i) 2 (/ 1 alpha)) 1)) into (* 2 (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (+ (* 2 (fma (/ 1 i) 2 (/ 1 alpha))) 0) into (* 2 (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (- (/ (- (+ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i))) (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i))) 1) (+ (* (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) (/ (* 2 (fma (/ 1 i) 2 (/ 1 alpha))) 1)))) into (- (+ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i))) (* 4 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))
* [misc]taylor:  Taking taylor expansion of (- (+ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i))) (* 4 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (sqr i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i))
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (* alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* 0 i) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 i)) into i
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)
* [misc]taylor:  Taking taylor expansion of (* 4 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)) in alpha
* [misc]taylor:  Taking taylor expansion of 4 in alpha
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) into (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i) into (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)
* [misc]backup-simplify:  Simplify (+ 0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)
* [misc]backup-simplify:  Simplify (+ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) 0) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 1) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 1) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 i) (/ 0 i)) (* 0 (/ 0 i)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (/ 1 i) (/ 0 1)) (* (- (/ (fma (/ 1 i) 2 (/ 1 alpha)) i)) (/ (fma (/ 1 i) 2 (/ 1 alpha)) 1)))) into (/ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) i)
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (- (+ (/ 1 i) (/ 1 alpha)) (fma (/ 1 i) 2 (/ 1 alpha))) (/ (fma (/ 1 i) 2 (/ 1 alpha)) 1)))) into (- (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (+ (/ (fma (/ 1 i) 2 (/ 1 alpha)) i) (/ (fma (/ 1 i) 2 (/ 1 alpha)) alpha)))
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* (- (+ (/ 1 i) (/ 1 alpha)) (fma (/ 1 i) 2 (/ 1 alpha))) 0) (* (- (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (+ (/ (fma (/ 1 i) 2 (/ 1 alpha)) i) (/ (fma (/ 1 i) 2 (/ 1 alpha)) alpha))) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))))) into (- (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (+ (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) alpha) (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))
* [misc]backup-simplify:  Simplify (+ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (/ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) i)) (+ (* (- (+ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) alpha)) (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))) (- (/ (fma (/ 1 i) 2 (/ 1 alpha)) i))) (* (- (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (+ (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) alpha) (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i))) (/ 1 i)))) into (- (* 3 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)) (+ (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (* alpha i)))))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 i) 2 (/ 1 alpha))) (* 0 1))) into (sqr (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (- 1.0)) into (- (sqr (fma (/ 1 i) 2 (/ 1 alpha))) 1.0)
* [misc]backup-simplify:  Simplify (- (/ (- (* 3 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)) (+ (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (* alpha i))))) 1) (+ (* (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) (/ (- (sqr (fma (/ 1 i) 2 (/ 1 alpha))) 1.0) 1)) (* (- (+ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i))) (* 4 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i))) (/ (* 2 (fma (/ 1 i) 2 (/ 1 alpha))) 1)))) into (- (+ (* 1.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (* 10 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i))) (+ (* 4 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (* 4 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (* alpha i)))))
* [misc]taylor:  Taking taylor expansion of (- (+ (* 1.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (* 10 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i))) (+ (* 4 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (* 4 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (* alpha i))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* 1.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (* 10 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 1.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) in alpha
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)
* [misc]taylor:  Taking taylor expansion of (* 10 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)) in alpha
* [misc]taylor:  Taking taylor expansion of 10 in alpha
* [misc]backup-simplify:  Simplify 10 into 10
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ 1 i) 2 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 i) 2 (/ 1 alpha))) into (sqr (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) into (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i) into (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (* 4 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (* alpha i)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 4 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) in alpha
* [misc]taylor:  Taking taylor expansion of 4 in alpha
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i)) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (sqr i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) into (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i)) into (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))
* [misc]taylor:  Taking taylor expansion of (* 4 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (* alpha i))) in alpha
* [misc]taylor:  Taking taylor expansion of 4 in alpha
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (* alpha i)) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (* alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) into (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* 0 i) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 i)) into i
* [misc]backup-simplify:  Simplify (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i) into (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)
* [misc]backup-simplify:  Simplify (* 4 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)) into (* 4 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i))
* [misc]backup-simplify:  Simplify (+ 0 (* 4 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i))) into (* 4 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i))
* [misc]backup-simplify:  Simplify (- (* 4 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i))) into (- (* 4 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))
* [misc]backup-simplify:  Simplify (+ 0 (- (* 4 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))) into (- (* 4 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))
* [misc]taylor:  Taking taylor expansion of (- (* 4 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i) in i
* [misc]taylor:  Taking taylor expansion of (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) into (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) 1) into (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (* 0 i))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 i) (+ (* (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) (/ 0 i)))) into 0
* [misc]backup-simplify:  Simplify (+ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) 0) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i))
* [misc]backup-simplify:  Simplify (* 4 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)) into (* 4 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i))
* [misc]backup-simplify:  Simplify (- (* 4 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i))) into (- (* 4 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))
* [misc]backup-simplify:  Simplify (+ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) (- (* 4 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))) into (- (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) (* 4 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))
* [misc]taylor:  Taking taylor expansion of (- (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) (* 4 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i))) in i
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (sqr i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 1) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (* 4 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i) in i
* [misc]taylor:  Taking taylor expansion of (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) into (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) 1) into (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (+ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 0) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (- (/ 0 i) (+ (* (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) (/ 0 i)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (+ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (/ 1 (/ 1 i)) (* 1 (pow (/ 1 beta) 3)))) (+ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (/ 1 (/ 1 i)) (* (/ 1 (/ 1 alpha)) (pow (/ 1 beta) 4)))) (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (* (/ 1 (/ 1 i)) (* 1 (sqr (/ 1 beta)))))))) into (+ (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) (pow beta 3)) (+ (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i)) (pow beta 4)) (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) (pow beta 4))))
* [misc]approximate:  Taking taylor expansion of (/ (* (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) (- (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) 1.0)) in (beta alpha i) around 0
* [misc]taylor:  Taking taylor expansion of (/ (* (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) (- (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (* (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) in i
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) in i
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) in i
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (/ 1 (- alpha))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in i
* [misc]taylor:  Taking taylor expansion of (- beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in i
* [misc]taylor:  Taking taylor expansion of (- alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in i
* [misc]taylor:  Taking taylor expansion of (- i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in i
* [misc]taylor:  Taking taylor expansion of (- beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (+ (/ -1 beta) (fma (/ -1 i) 2 (/ -1 alpha))) into (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))
* [misc]backup-simplify:  Simplify (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) into (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in i
* [misc]taylor:  Taking taylor expansion of (- i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in i
* [misc]taylor:  Taking taylor expansion of (- beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (+ (/ -1 beta) (fma (/ -1 i) 2 (/ -1 alpha))) into (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))
* [misc]backup-simplify:  Simplify (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) into (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))
* [misc]taylor:  Taking taylor expansion of (- (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in i
* [misc]taylor:  Taking taylor expansion of (- beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) into (* -1 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))
* [misc]backup-simplify:  Simplify (* (* -1 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))) (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))
* [misc]backup-simplify:  Simplify (+ (/ -1 beta) (fma (/ -1 i) 2 (/ -1 alpha))) into (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))
* [misc]backup-simplify:  Simplify (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) into (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (- 1.0)) into (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0))
* [misc]backup-simplify:  Simplify (/ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))) (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0))) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0))))
* [misc]taylor:  Taking taylor expansion of (/ (* (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) (- (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (* (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (/ 1 (- alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (- alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in alpha
* [misc]taylor:  Taking taylor expansion of (- i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (+ (/ -1 beta) (fma (/ -1 i) 2 (/ -1 alpha))) into (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))
* [misc]backup-simplify:  Simplify (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) into (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in alpha
* [misc]taylor:  Taking taylor expansion of (- i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (+ (/ -1 beta) (fma (/ -1 i) 2 (/ -1 alpha))) into (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))
* [misc]backup-simplify:  Simplify (/ (/ -1 i) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) into (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))
* [misc]taylor:  Taking taylor expansion of (- (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) into (* -1 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))
* [misc]backup-simplify:  Simplify (* (* -1 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))) (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) i))
* [misc]backup-simplify:  Simplify (+ (/ -1 beta) (fma (/ -1 i) 2 (/ -1 alpha))) into (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))
* [misc]backup-simplify:  Simplify (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) into (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (- 1.0)) into (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0))
* [misc]backup-simplify:  Simplify (/ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) i)) (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0))) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* i (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0)))))
* [misc]taylor:  Taking taylor expansion of (/ (* (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) (- (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) 1.0)) in beta
* [misc]taylor:  Taking taylor expansion of (* (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) in beta
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (/ 1 (- alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in beta
* [misc]taylor:  Taking taylor expansion of (- i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (/ -1 -1) into 1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in beta
* [misc]taylor:  Taking taylor expansion of (- i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (/ (/ -1 i) -1) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (- (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) 1.0) in beta
* [misc]taylor:  Taking taylor expansion of (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* 1 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (/ 1 i)) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i) 1) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)
* [misc]taylor:  Taking taylor expansion of (/ (* (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) (- (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) 1.0)) in beta
* [misc]taylor:  Taking taylor expansion of (* (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) in beta
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (/ 1 (- alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in beta
* [misc]taylor:  Taking taylor expansion of (- i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (/ -1 -1) into 1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in beta
* [misc]taylor:  Taking taylor expansion of (- i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (/ (/ -1 i) -1) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (- (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) 1.0) in beta
* [misc]taylor:  Taking taylor expansion of (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* 1 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (/ 1 i)) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i) 1) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 i) (/ 0 (- i))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (fma (/ -1 i) 2 (/ -1 alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (- (/ 0 -1) (+ (* (/ 1 i) (/ (fma (/ -1 i) 2 (/ -1 alpha)) -1)))) into (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (/ -1 alpha)) into (- (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (- (/ 1 alpha)) (/ -1 i)) into (- (+ (/ 1 i) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (fma (/ -1 i) 2 (/ -1 alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (- (/ (- (+ (/ 1 i) (/ 1 alpha))) -1) (+ (* 1 (/ (fma (/ -1 i) 2 (/ -1 alpha)) -1)))) into (+ (fma (/ -1 i) 2 (/ -1 alpha)) (+ (/ 1 alpha) (/ 1 i)))
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* (+ (fma (/ -1 i) 2 (/ -1 alpha)) (+ (/ 1 alpha) (/ 1 i))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) into (+ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (+ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) alpha)))
* [misc]backup-simplify:  Simplify (+ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)) (* (+ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (+ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) alpha))) (/ 1 i))) into (+ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr i)) (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* alpha i))))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (fma (/ -1 i) 2 (/ -1 alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (+ (* -1 (fma (/ -1 i) 2 (/ -1 alpha))) (* (fma (/ -1 i) 2 (/ -1 alpha)) -1)) into (- (* 2 (fma (/ -1 i) 2 (/ -1 alpha))))
* [misc]backup-simplify:  Simplify (+ (- (* 2 (fma (/ -1 i) 2 (/ -1 alpha)))) 0) into (- (* 2 (fma (/ -1 i) 2 (/ -1 alpha))))
* [misc]backup-simplify:  Simplify (- (/ (+ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr i)) (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* alpha i)))) 1) (+ (* (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i) (/ (- (* 2 (fma (/ -1 i) 2 (/ -1 alpha)))) 1)))) into (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (+ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i)) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* alpha i)))))
* [misc]taylor:  Taking taylor expansion of (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (+ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i)) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* alpha i))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i) into (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)
* [misc]taylor:  Taking taylor expansion of (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (+ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i)) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* alpha i)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i) into (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)
* [misc]taylor:  Taking taylor expansion of (+ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i)) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* alpha i))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (sqr i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr i)) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i))
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* alpha i)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (* alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* 0 i) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 i)) into i
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)
* [misc]backup-simplify:  Simplify (+ 0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)
* [misc]backup-simplify:  Simplify (+ 0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)
* [misc]backup-simplify:  Simplify (+ 0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 1) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 1) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 i) (/ 0 (- i))) (* 0 (/ 0 (- i))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 -1) (+ (* (/ 1 i) (/ 0 -1)) (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) i) (/ (fma (/ -1 i) 2 (/ -1 alpha)) -1)))) into (/ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) i)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 alpha) (/ 0 (- alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 i) (/ 0 (- i))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 -1) (+ (* 1 (/ 0 -1)) (* (+ (fma (/ -1 i) 2 (/ -1 alpha)) (+ (/ 1 alpha) (/ 1 i))) (/ (fma (/ -1 i) 2 (/ -1 alpha)) -1)))) into (+ (/ (fma (/ -1 i) 2 (/ -1 alpha)) i) (+ (/ (fma (/ -1 i) 2 (/ -1 alpha)) alpha) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))))
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* (+ (fma (/ -1 i) 2 (/ -1 alpha)) (+ (/ 1 alpha) (/ 1 i))) 0) (* (+ (/ (fma (/ -1 i) 2 (/ -1 alpha)) i) (+ (/ (fma (/ -1 i) 2 (/ -1 alpha)) alpha) (sqr (fma (/ -1 i) 2 (/ -1 alpha))))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) into (+ (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i) (+ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) alpha)))
* [misc]backup-simplify:  Simplify (+ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (/ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) i)) (+ (* (+ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (+ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) alpha))) (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)) (* (+ (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i) (+ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) alpha))) (/ 1 i)))) into (+ (* 3 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* alpha i))) (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i)))))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) 2 (/ -1 alpha))) (* 0 -1))) into (sqr (fma (/ -1 i) 2 (/ -1 alpha)))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (- 1.0)) into (- (sqr (fma (/ -1 i) 2 (/ -1 alpha))) 1.0)
* [misc]backup-simplify:  Simplify (- (/ (+ (* 3 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* alpha i))) (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))))) 1) (+ (* (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i) (/ (- (sqr (fma (/ -1 i) 2 (/ -1 alpha))) 1.0) 1)) (* (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (+ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i)) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* alpha i))))) (/ (- (* 2 (fma (/ -1 i) 2 (/ -1 alpha)))) 1)))) into (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* alpha i))) (+ (* 7 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* alpha i))) (+ (* 3 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (* 1.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i))))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* alpha i))) (+ (* 7 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* alpha i))) (+ (* 3 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (* 1.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i)) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (sqr i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i)) into (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))
* [misc]taylor:  Taking taylor expansion of (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* alpha i))) (+ (* 7 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* alpha i))) (+ (* 3 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (* 1.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* alpha i))) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* alpha i)) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (* alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (* 0 i) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 i)) into i
* [misc]backup-simplify:  Simplify (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i) into (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)
* [misc]taylor:  Taking taylor expansion of (+ (* 7 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* alpha i))) (+ (* 3 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (* 1.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 7 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) in alpha
* [misc]taylor:  Taking taylor expansion of 7 in alpha
* [misc]backup-simplify:  Simplify 7 into 7
* [misc]taylor:  Taking taylor expansion of (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i) in alpha
* [misc]taylor:  Taking taylor expansion of (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ -1 i) 2 (/ -1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) 2 (/ -1 alpha))) into (sqr (fma (/ -1 i) 2 (/ -1 alpha)))
* [misc]backup-simplify:  Simplify (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) into (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i) into (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)
* [misc]taylor:  Taking taylor expansion of (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* alpha i))) (+ (* 3 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (* 1.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i)) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (sqr i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i)) into (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))
* [misc]taylor:  Taking taylor expansion of (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* alpha i))) (+ (* 3 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (* 1.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* alpha i))) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* alpha i)) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (* alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (* 0 i) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 i)) into i
* [misc]backup-simplify:  Simplify (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i) into (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)
* [misc]taylor:  Taking taylor expansion of (+ (* 3 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (* 1.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 3 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) in alpha
* [misc]taylor:  Taking taylor expansion of 3 in alpha
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i) in alpha
* [misc]taylor:  Taking taylor expansion of (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ -1 i) 2 (/ -1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) 2 (/ -1 alpha))) into (sqr (fma (/ -1 i) 2 (/ -1 alpha)))
* [misc]backup-simplify:  Simplify (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) into (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i) into (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)
* [misc]taylor:  Taking taylor expansion of (* 1.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) in alpha
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)
* [misc]backup-simplify:  Simplify (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) into (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i))
* [misc]backup-simplify:  Simplify (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) into (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i))
* [misc]backup-simplify:  Simplify (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) 0) into (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i))
* [misc]backup-simplify:  Simplify (+ 0 (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i))) into (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i))
* [misc]backup-simplify:  Simplify (+ 0 (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i))) into (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i))
* [misc]backup-simplify:  Simplify (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i))) into (* 4 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i))
* [misc]backup-simplify:  Simplify (+ 0 (* 4 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i))) into (* 4 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i))
* [misc]taylor:  Taking taylor expansion of (* 4 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i) in i
* [misc]taylor:  Taking taylor expansion of (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) 1) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) into (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i))
* [misc]backup-simplify:  Simplify (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) into (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i))
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (* 0 i))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 i) (+ (* (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i) (/ 0 i)))) into 0
* [misc]backup-simplify:  Simplify (+ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i)) 0) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr i))
* [misc]backup-simplify:  Simplify (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr i))) into (+ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i)) (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)))
* [misc]backup-simplify:  Simplify (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (+ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i)) (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)))) into (+ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr i)) (* 4 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)))
* [misc]taylor:  Taking taylor expansion of (+ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr i)) (* 4 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i))) in i
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr i)) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (sqr i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 1) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (* 4 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i) in i
* [misc]taylor:  Taking taylor expansion of (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) 1) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (+ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 0) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (- (/ 0 i) (+ (* (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i) (/ 0 i)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (+ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* (/ 1 (/ 1 (- i))) (* 1 (pow (/ 1 (- beta)) 3)))) (+ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* (/ 1 (/ 1 (- i))) (* (/ 1 (/ 1 (- alpha))) (pow (/ 1 (- beta)) 4)))) (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr (* (/ 1 (/ 1 (- i))) (* 1 (sqr (/ 1 (- beta))))))))) into (+ (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i)) (pow beta 4)) (+ (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i) (pow beta 3)) (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* alpha i)) (pow beta 4))))
* * * * [misc]progress:  [ 2 / 4 ] generating series at (2 1)
* [misc]approximate:  Taking taylor expansion of (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) in (beta alpha i) around 0
* [misc]taylor:  Taking taylor expansion of (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) in i
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (+ (+ beta alpha) i) in i
* [misc]taylor:  Taking taylor expansion of (+ beta alpha) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ beta alpha) into (+ beta alpha)
* [misc]backup-simplify:  Simplify (+ (+ beta alpha) 0) into (+ beta alpha)
* [misc]backup-simplify:  Simplify (+ beta (fma i 2 alpha)) into (+ beta (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (/ (+ beta alpha) (+ beta (fma i 2 alpha))) into (/ (+ beta alpha) (+ beta (fma i 2 alpha)))
* [misc]taylor:  Taking taylor expansion of (fma i (+ (+ beta alpha) i) (* alpha beta)) in i
* [misc]backup-simplify:  Simplify (fma i (+ (+ beta alpha) i) (* alpha beta)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (/ i (+ beta (fma i 2 alpha))) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ beta (fma i 2 alpha)) into (+ beta (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (/ 1 (+ beta (fma i 2 alpha))) into (/ 1 (+ beta (fma i 2 alpha)))
* [misc]taylor:  Taking taylor expansion of (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ beta alpha) i) in alpha
* [misc]taylor:  Taking taylor expansion of (+ beta alpha) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (+ beta i) into (+ beta i)
* [misc]backup-simplify:  Simplify (+ beta (fma i 2 alpha)) into (+ beta (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (/ (+ beta i) (+ beta (fma i 2 alpha))) into (/ (+ beta i) (+ beta (fma i 2 alpha)))
* [misc]taylor:  Taking taylor expansion of (fma i (+ (+ beta alpha) i) (* alpha beta)) in alpha
* [misc]backup-simplify:  Simplify (fma i (+ (+ beta alpha) i) (* alpha beta)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (/ i (+ beta (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ beta (fma i 2 alpha)) into (+ beta (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (/ i (+ beta (fma i 2 alpha))) into (/ i (+ beta (fma i 2 alpha)))
* [misc]taylor:  Taking taylor expansion of (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ beta alpha) i) in beta
* [misc]taylor:  Taking taylor expansion of (+ beta alpha) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in beta
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ 0 alpha) into alpha
* [misc]backup-simplify:  Simplify (+ alpha i) into (+ alpha i)
* [misc]backup-simplify:  Simplify (+ 0 (fma i 2 alpha)) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (/ (+ alpha i) (fma i 2 alpha)) into (/ (+ alpha i) (fma i 2 alpha))
* [misc]taylor:  Taking taylor expansion of (fma i (+ (+ beta alpha) i) (* alpha beta)) in beta
* [misc]backup-simplify:  Simplify (fma i (+ (+ beta alpha) i) (* alpha beta)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (/ i (+ beta (fma i 2 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in beta
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ 0 (fma i 2 alpha)) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (/ i (fma i 2 alpha)) into (/ i (fma i 2 alpha))
* [misc]taylor:  Taking taylor expansion of (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ beta alpha) i) in beta
* [misc]taylor:  Taking taylor expansion of (+ beta alpha) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in beta
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ 0 alpha) into alpha
* [misc]backup-simplify:  Simplify (+ alpha i) into (+ alpha i)
* [misc]backup-simplify:  Simplify (+ 0 (fma i 2 alpha)) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (/ (+ alpha i) (fma i 2 alpha)) into (/ (+ alpha i) (fma i 2 alpha))
* [misc]taylor:  Taking taylor expansion of (fma i (+ (+ beta alpha) i) (* alpha beta)) in beta
* [misc]backup-simplify:  Simplify (fma i (+ (+ beta alpha) i) (* alpha beta)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (/ i (+ beta (fma i 2 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in beta
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ 0 (fma i 2 alpha)) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (/ i (fma i 2 alpha)) into (/ i (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* (/ (+ alpha i) (fma i 2 alpha)) (fma i (+ beta (+ alpha i)) (* beta alpha))) into (/ (* (+ alpha i) (fma i (+ beta (+ alpha i)) (* beta alpha))) (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* (/ (* (+ alpha i) (fma i (+ beta (+ alpha i)) (* beta alpha))) (fma i 2 alpha)) (/ i (fma i 2 alpha))) into (/ (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (sqr (fma i 2 alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (sqr (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ 0 i) into i
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) into (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)
* [misc]backup-simplify:  Simplify (* i (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) into (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (sqr (fma i 2 alpha))) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (sqr (fma i 2 alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (sqr (fma i 2 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) in i
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in i
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (sqr i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 1) (+ (* 0 0) (* 0 0))) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr (fma i 2 alpha))) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (- (/ 0 (fma i 2 alpha)) (+ (* (/ i (fma i 2 alpha)) (/ 1 (fma i 2 alpha))))) into (- (/ i (sqr (fma i 2 alpha))))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (- (/ 1 (fma i 2 alpha)) (+ (* (/ (+ alpha i) (fma i 2 alpha)) (/ 1 (fma i 2 alpha))))) into (- (/ 1 (fma i 2 alpha)) (+ (/ i (sqr (fma i 2 alpha))) (/ alpha (sqr (fma i 2 alpha)))))
* [misc]backup-simplify:  Simplify (+ (* (/ (+ alpha i) (fma i 2 alpha)) 0) (* (- (/ 1 (fma i 2 alpha)) (+ (/ i (sqr (fma i 2 alpha))) (/ alpha (sqr (fma i 2 alpha))))) (fma i (+ beta (+ alpha i)) (* beta alpha)))) into (- (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha)) (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) alpha) (sqr (fma i 2 alpha))) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha)))))
* [misc]backup-simplify:  Simplify (+ (* (/ (* (+ alpha i) (fma i (+ beta (+ alpha i)) (* beta alpha))) (fma i 2 alpha)) (- (/ i (sqr (fma i 2 alpha))))) (* (- (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha)) (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) alpha) (sqr (fma i 2 alpha))) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha))))) (/ i (fma i 2 alpha)))) into (- (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha))) (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (fma i 2 alpha) 3))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (pow (fma i 2 alpha) 3)))))
* [misc]taylor:  Taking taylor expansion of (- (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha))) (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (fma i 2 alpha) 3))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (pow (fma i 2 alpha) 3))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) into (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha))) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha)))
* [misc]taylor:  Taking taylor expansion of (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (fma i 2 alpha) 3))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (pow (fma i 2 alpha) 3)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (fma i 2 alpha) 3))) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (fma i 2 alpha) 3)) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (sqr i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (pow (fma i 2 alpha) 3) in alpha
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (fma i 2 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 3 (log (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of 3 in alpha
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (log (fma i 2 alpha)) into (log (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* 3 (log (fma i 2 alpha))) into (* 3 (log (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (fma i 2 alpha)))) into (pow (fma i 2 alpha) 3)
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) into (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i))
* [misc]backup-simplify:  Simplify (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (fma i 2 alpha) 3)) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (fma i 2 alpha) 3))
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (pow (fma i 2 alpha) 3))) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (pow (fma i 2 alpha) 3)) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (* alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (pow (fma i 2 alpha) 3) in alpha
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (fma i 2 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 3 (log (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of 3 in alpha
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (log (fma i 2 alpha)) into (log (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* 3 (log (fma i 2 alpha))) into (* 3 (log (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (fma i 2 alpha)))) into (pow (fma i 2 alpha) 3)
* [misc]backup-simplify:  Simplify (* 0 i) into 0
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 i)) into i
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* 0 0)) into (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)
* [misc]backup-simplify:  Simplify (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (pow (fma i 2 alpha) 3)) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (pow (fma i 2 alpha) 3))
* [misc]backup-simplify:  Simplify (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (fma i 2 alpha) 3))) into (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (fma i 2 alpha) 3)))
* [misc]backup-simplify:  Simplify (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (fma i 2 alpha) 3))) 0) into (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (fma i 2 alpha) 3)))
* [misc]backup-simplify:  Simplify (- (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (fma i 2 alpha) 3)))) into (- (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (fma i 2 alpha) 3))))
* [misc]backup-simplify:  Simplify (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha))) (- (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (fma i 2 alpha) 3))))) into (- (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (fma i 2 alpha) 3))))
* [misc]taylor:  Taking taylor expansion of (- (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (fma i 2 alpha) 3)))) in i
* [misc]taylor:  Taking taylor expansion of (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) in i
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in i
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 1) (* 0 0)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr (fma i 2 alpha))) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr (fma i 2 alpha)))
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (fma i 2 alpha) 3))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (fma i 2 alpha) 3)) in i
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) in i
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in i
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (sqr i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow (fma i 2 alpha) 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (fma i 2 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log (fma i 2 alpha))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (log (fma i 2 alpha)) into (log (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* 3 (log (fma i 2 alpha))) into (* 3 (log (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (fma i 2 alpha)))) into (pow (fma i 2 alpha) 3)
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 1) (+ (* 0 0) (* 0 0))) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]backup-simplify:  Simplify (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (pow (fma i 2 alpha) 3)) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (pow (fma i 2 alpha) 3))
* [misc]backup-simplify:  Simplify (+ (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr (fma i 2 alpha))) 0) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr (fma i 2 alpha))) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) (* 0 i)) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ (* i 0) (* 1 (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i))) into (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 0) (* 0 (fma i 2 alpha))) into 0
* [misc]backup-simplify:  Simplify (- (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha))) (+ (* (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (sqr (fma i 2 alpha))) (/ 0 (sqr (fma i 2 alpha)))))) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) in i
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in i
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 1) (* 0 0)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr (fma i 2 alpha))) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr (fma i 2 alpha))) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr (fma i 2 alpha))) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (+ (* (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr (fma i 2 alpha))) (sqr (* i (* 1 1)))) (+ (* (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr (fma i 2 alpha))) (* i (* alpha 1))) (* (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr (fma i 2 alpha))) (* i (* 1 beta))))) into (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* beta i)) (sqr (fma i 2 alpha))) (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (sqr (fma i 2 alpha))) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (sqr (fma i 2 alpha)))))
* [misc]approximate:  Taking taylor expansion of (* (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) in (beta alpha i) around 0
* [misc]taylor:  Taking taylor expansion of (* (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) in i
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) in i
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (/ 1 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) into (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) into (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) into (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) into (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (* (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (/ 1 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) into (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) into (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) into (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) into (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))
* [misc]taylor:  Taking taylor expansion of (* (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (/ 1 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (/ 1 i) 1) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (* (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (/ 1 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (/ 1 i) 1) into (/ 1 i)
* [misc]backup-simplify:  Simplify (* 1 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (/ 1 i)) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (fma (/ 1 i) 2 (/ 1 alpha))) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (/ 1 i) (/ (fma (/ 1 i) 2 (/ 1 alpha)) 1)))) into (- (/ (fma (/ 1 i) 2 (/ 1 alpha)) i))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 alpha)) into (/ 1 alpha)
* [misc]backup-simplify:  Simplify (+ (/ 1 alpha) (/ 1 i)) into (+ (/ 1 i) (/ 1 alpha))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (fma (/ 1 i) 2 (/ 1 alpha))) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (- (/ (+ (/ 1 i) (/ 1 alpha)) 1) (+ (* 1 (/ (fma (/ 1 i) 2 (/ 1 alpha)) 1)))) into (- (+ (/ 1 i) (/ 1 alpha)) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* (- (+ (/ 1 i) (/ 1 alpha)) (fma (/ 1 i) 2 (/ 1 alpha))) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))) into (- (+ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) alpha)) (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (+ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (- (/ (fma (/ 1 i) 2 (/ 1 alpha)) i))) (* (- (+ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) alpha)) (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))) (/ 1 i))) into (- (+ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i))) (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))
* [misc]taylor:  Taking taylor expansion of (- (+ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i))) (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (sqr i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i))
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (* alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* 0 i) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 i)) into i
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) into (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i) into (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)
* [misc]backup-simplify:  Simplify (+ 0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)
* [misc]backup-simplify:  Simplify (+ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) 0) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 1) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 1) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 i) (/ 0 i)) (* 0 (/ 0 i)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (/ 1 i) (/ 0 1)) (* (- (/ (fma (/ 1 i) 2 (/ 1 alpha)) i)) (/ (fma (/ 1 i) 2 (/ 1 alpha)) 1)))) into (/ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) i)
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (- (+ (/ 1 i) (/ 1 alpha)) (fma (/ 1 i) 2 (/ 1 alpha))) (/ (fma (/ 1 i) 2 (/ 1 alpha)) 1)))) into (- (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (+ (/ (fma (/ 1 i) 2 (/ 1 alpha)) i) (/ (fma (/ 1 i) 2 (/ 1 alpha)) alpha)))
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* (- (+ (/ 1 i) (/ 1 alpha)) (fma (/ 1 i) 2 (/ 1 alpha))) 0) (* (- (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (+ (/ (fma (/ 1 i) 2 (/ 1 alpha)) i) (/ (fma (/ 1 i) 2 (/ 1 alpha)) alpha))) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))))) into (- (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (+ (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) alpha) (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))
* [misc]backup-simplify:  Simplify (+ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (/ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) i)) (+ (* (- (+ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) alpha)) (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))) (- (/ (fma (/ 1 i) 2 (/ 1 alpha)) i))) (* (- (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (+ (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) alpha) (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i))) (/ 1 i)))) into (- (* 3 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)) (+ (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (* alpha i)))))
* [misc]taylor:  Taking taylor expansion of (- (* 3 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)) (+ (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (* alpha i))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 3 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)) in alpha
* [misc]taylor:  Taking taylor expansion of 3 in alpha
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ 1 i) 2 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 i) 2 (/ 1 alpha))) into (sqr (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) into (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i) into (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)
* [misc]taylor:  Taking taylor expansion of (+ (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (* alpha i)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i)) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (sqr i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) into (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i)) into (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (* alpha i))) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (* alpha i)) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (* alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) into (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* 0 i) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 i)) into i
* [misc]backup-simplify:  Simplify (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i) into (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)
* [misc]backup-simplify:  Simplify (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)) into (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i))
* [misc]backup-simplify:  Simplify (+ 0 (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i))) into (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i))
* [misc]backup-simplify:  Simplify (- (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i))) into (- (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))
* [misc]backup-simplify:  Simplify (+ 0 (- (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))) into (- (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))
* [misc]taylor:  Taking taylor expansion of (- (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i) in i
* [misc]taylor:  Taking taylor expansion of (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) into (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) 1) into (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (* 0 i))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 i) (+ (* (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) (/ 0 i)))) into 0
* [misc]backup-simplify:  Simplify (+ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) 0) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i))
* [misc]backup-simplify:  Simplify (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)) into (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i))
* [misc]backup-simplify:  Simplify (- (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i))) into (- (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))
* [misc]backup-simplify:  Simplify (+ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) (- (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))) into (- (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))
* [misc]taylor:  Taking taylor expansion of (- (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i))) in i
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (sqr i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 1) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i) in i
* [misc]taylor:  Taking taylor expansion of (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) into (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) 1) into (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (+ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 0) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (- (/ 0 i) (+ (* (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) (/ 0 i)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (+ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (/ 1 (/ 1 i)) (* 1 (/ 1 beta)))) (+ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (/ 1 (/ 1 i)) (* (/ 1 (/ 1 alpha)) (sqr (/ 1 beta))))) (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (* (/ 1 (/ 1 i)) (* 1 (/ 1 beta))))))) into (+ (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) beta) (+ (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i)) (sqr beta)) (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) (sqr beta))))
* [misc]approximate:  Taking taylor expansion of (* (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) in (beta alpha i) around 0
* [misc]taylor:  Taking taylor expansion of (* (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) in i
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) in i
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) in i
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (/ 1 (- alpha))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in i
* [misc]taylor:  Taking taylor expansion of (- beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in i
* [misc]taylor:  Taking taylor expansion of (- alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in i
* [misc]taylor:  Taking taylor expansion of (- i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in i
* [misc]taylor:  Taking taylor expansion of (- beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (+ (/ -1 beta) (fma (/ -1 i) 2 (/ -1 alpha))) into (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))
* [misc]backup-simplify:  Simplify (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) into (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in i
* [misc]taylor:  Taking taylor expansion of (- i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in i
* [misc]taylor:  Taking taylor expansion of (- beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (+ (/ -1 beta) (fma (/ -1 i) 2 (/ -1 alpha))) into (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))
* [misc]backup-simplify:  Simplify (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) into (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))
* [misc]taylor:  Taking taylor expansion of (* (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (/ 1 (- alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (- alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in alpha
* [misc]taylor:  Taking taylor expansion of (- i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (+ (/ -1 beta) (fma (/ -1 i) 2 (/ -1 alpha))) into (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))
* [misc]backup-simplify:  Simplify (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) into (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in alpha
* [misc]taylor:  Taking taylor expansion of (- i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (+ (/ -1 beta) (fma (/ -1 i) 2 (/ -1 alpha))) into (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))
* [misc]backup-simplify:  Simplify (/ (/ -1 i) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) into (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))
* [misc]taylor:  Taking taylor expansion of (* (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) in beta
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (/ 1 (- alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in beta
* [misc]taylor:  Taking taylor expansion of (- i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (/ -1 -1) into 1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in beta
* [misc]taylor:  Taking taylor expansion of (- i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (/ (/ -1 i) -1) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (* (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) in beta
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (/ 1 (- alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in beta
* [misc]taylor:  Taking taylor expansion of (- i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (/ -1 -1) into 1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in beta
* [misc]taylor:  Taking taylor expansion of (- i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (/ (/ -1 i) -1) into (/ 1 i)
* [misc]backup-simplify:  Simplify (* 1 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (/ 1 i)) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 i) (/ 0 (- i))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (fma (/ -1 i) 2 (/ -1 alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (- (/ 0 -1) (+ (* (/ 1 i) (/ (fma (/ -1 i) 2 (/ -1 alpha)) -1)))) into (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (/ -1 alpha)) into (- (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (- (/ 1 alpha)) (/ -1 i)) into (- (+ (/ 1 i) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (fma (/ -1 i) 2 (/ -1 alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (- (/ (- (+ (/ 1 i) (/ 1 alpha))) -1) (+ (* 1 (/ (fma (/ -1 i) 2 (/ -1 alpha)) -1)))) into (+ (fma (/ -1 i) 2 (/ -1 alpha)) (+ (/ 1 alpha) (/ 1 i)))
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* (+ (fma (/ -1 i) 2 (/ -1 alpha)) (+ (/ 1 alpha) (/ 1 i))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) into (+ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (+ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) alpha)))
* [misc]backup-simplify:  Simplify (+ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)) (* (+ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (+ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) alpha))) (/ 1 i))) into (+ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr i)) (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* alpha i))))
* [misc]taylor:  Taking taylor expansion of (+ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr i)) (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* alpha i)))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr i)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (sqr i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i)) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr i))
* [misc]taylor:  Taking taylor expansion of (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* alpha i))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i) into (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* alpha i)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (* alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* 0 i) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 i)) into i
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)
* [misc]backup-simplify:  Simplify (+ 0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)
* [misc]backup-simplify:  Simplify (+ 0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 1) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 1) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 i) (/ 0 (- i))) (* 0 (/ 0 (- i))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 -1) (+ (* (/ 1 i) (/ 0 -1)) (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) i) (/ (fma (/ -1 i) 2 (/ -1 alpha)) -1)))) into (/ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) i)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 alpha) (/ 0 (- alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 i) (/ 0 (- i))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 -1) (+ (* 1 (/ 0 -1)) (* (+ (fma (/ -1 i) 2 (/ -1 alpha)) (+ (/ 1 alpha) (/ 1 i))) (/ (fma (/ -1 i) 2 (/ -1 alpha)) -1)))) into (+ (/ (fma (/ -1 i) 2 (/ -1 alpha)) i) (+ (/ (fma (/ -1 i) 2 (/ -1 alpha)) alpha) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))))
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* (+ (fma (/ -1 i) 2 (/ -1 alpha)) (+ (/ 1 alpha) (/ 1 i))) 0) (* (+ (/ (fma (/ -1 i) 2 (/ -1 alpha)) i) (+ (/ (fma (/ -1 i) 2 (/ -1 alpha)) alpha) (sqr (fma (/ -1 i) 2 (/ -1 alpha))))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) into (+ (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i) (+ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) alpha)))
* [misc]backup-simplify:  Simplify (+ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (/ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) i)) (+ (* (+ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (+ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) alpha))) (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)) (* (+ (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i) (+ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) alpha))) (/ 1 i)))) into (+ (* 3 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* alpha i))) (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i)))))
* [misc]taylor:  Taking taylor expansion of (+ (* 3 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* alpha i))) (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 3 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) in alpha
* [misc]taylor:  Taking taylor expansion of 3 in alpha
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i) in alpha
* [misc]taylor:  Taking taylor expansion of (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ -1 i) 2 (/ -1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) 2 (/ -1 alpha))) into (sqr (fma (/ -1 i) 2 (/ -1 alpha)))
* [misc]backup-simplify:  Simplify (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) into (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i) into (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)
* [misc]taylor:  Taking taylor expansion of (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* alpha i))) (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* alpha i))) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* alpha i)) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (* alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (* 0 i) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 i)) into i
* [misc]backup-simplify:  Simplify (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i) into (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i)) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (sqr i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i)) into (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))
* [misc]backup-simplify:  Simplify (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) into (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i))
* [misc]backup-simplify:  Simplify (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) 0) into (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i))
* [misc]backup-simplify:  Simplify (+ 0 (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i))) into (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i))
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i) in i
* [misc]taylor:  Taking taylor expansion of (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) 1) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) into (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i))
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (* 0 i))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 i) (+ (* (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i) (/ 0 i)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) 0) into (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i))
* [misc]backup-simplify:  Simplify (+ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr i)) (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i))) into (+ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i)) (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)))
* [misc]taylor:  Taking taylor expansion of (+ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i)) (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i))) in i
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i)) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (sqr i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 1) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i) in i
* [misc]taylor:  Taking taylor expansion of (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) 1) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (+ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 0) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (- (/ 0 i) (+ (* (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i) (/ 0 i)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (+ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* (/ 1 (/ 1 (- i))) (* 1 (/ 1 (- beta))))) (+ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* (/ 1 (/ 1 (- i))) (* (/ 1 (/ 1 (- alpha))) (sqr (/ 1 (- beta)))))) (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr (* (/ 1 (/ 1 (- i))) (* 1 (/ 1 (- beta)))))))) into (+ (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i) beta) (+ (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr i)) (sqr beta)) (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* alpha i)) (sqr beta))))
* * * * [misc]progress:  [ 3 / 4 ] generating series at (2 2 1)
* [misc]approximate:  Taking taylor expansion of (sqr (+ beta (fma i 2 alpha))) in (beta i alpha) around 0
* [misc]taylor:  Taking taylor expansion of (sqr (+ beta (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (sqr (+ beta (fma i 2 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (sqr (+ beta (fma i 2 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in beta
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (sqr (+ beta (fma i 2 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in beta
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ 0 (fma i 2 alpha)) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (sqr (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 1) (* 1 (fma i 2 alpha))) into (* 2 (fma i 2 alpha))
* [misc]taylor:  Taking taylor expansion of (* 2 (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (* 2 (fma i 2 alpha)) into (* 2 (fma i 2 alpha))
* [misc]taylor:  Taking taylor expansion of (* 2 (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (* 2 (fma i 2 alpha)) into (* 2 (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* 2 (fma i 2 alpha)) into (* 2 (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 0) (* 0 (fma i 2 alpha))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 0) (* 0 (fma i 2 alpha))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 0) (+ (* 1 1) (* 0 (fma i 2 alpha)))) into 1
* [misc]taylor:  Taking taylor expansion of 1 in i
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 1 in alpha
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ (* 1 (sqr (* 1 (* 1 beta)))) (+ (* (* 2 (fma i 2 alpha)) (* 1 (* 1 beta))) (sqr (fma i 2 alpha)))) into (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta)))
* [misc]approximate:  Taking taylor expansion of (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in (beta i alpha) around 0
* [misc]taylor:  Taking taylor expansion of (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]taylor:  Taking taylor expansion of 1 in i
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 1 in alpha
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (fma (/ 1 i) 2 (/ 1 alpha))) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (* 1 (fma (/ 1 i) 2 (/ 1 alpha))) (* (fma (/ 1 i) 2 (/ 1 alpha)) 1)) into (* 2 (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]taylor:  Taking taylor expansion of (* 2 (fma (/ 1 i) 2 (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (* 2 (fma (/ 1 i) 2 (/ 1 alpha))) into (* 2 (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]taylor:  Taking taylor expansion of (* 2 (fma (/ 1 i) 2 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (* 2 (fma (/ 1 i) 2 (/ 1 alpha))) into (* 2 (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* 2 (fma (/ 1 i) 2 (/ 1 alpha))) into (* 2 (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 i) 2 (/ 1 alpha))) (* 0 1))) into (sqr (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ 1 i) 2 (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 i) 2 (/ 1 alpha))) into (sqr (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ 1 i) 2 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 i) 2 (/ 1 alpha))) into (sqr (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (sqr (fma (/ 1 i) 2 (/ 1 alpha))) into (sqr (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (+ (* (* 2 (fma (/ 1 i) 2 (/ 1 alpha))) (* 1 (* 1 (/ 1 (/ 1 beta))))) (* 1 (sqr (* 1 (* 1 (/ 1 (/ 1 beta)))))))) into (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (+ (* 2 (* beta (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr beta)))
* [misc]approximate:  Taking taylor expansion of (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in (beta i alpha) around 0
* [misc]taylor:  Taking taylor expansion of (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in i
* [misc]taylor:  Taking taylor expansion of (- beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]taylor:  Taking taylor expansion of 1 in i
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 1 in alpha
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (fma (/ -1 i) 2 (/ -1 alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (+ (* -1 (fma (/ -1 i) 2 (/ -1 alpha))) (* (fma (/ -1 i) 2 (/ -1 alpha)) -1)) into (- (* 2 (fma (/ -1 i) 2 (/ -1 alpha))))
* [misc]taylor:  Taking taylor expansion of (- (* 2 (fma (/ -1 i) 2 (/ -1 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (fma (/ -1 i) 2 (/ -1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (* 2 (fma (/ -1 i) 2 (/ -1 alpha))) into (* 2 (fma (/ -1 i) 2 (/ -1 alpha)))
* [misc]backup-simplify:  Simplify (- (* 2 (fma (/ -1 i) 2 (/ -1 alpha)))) into (- (* 2 (fma (/ -1 i) 2 (/ -1 alpha))))
* [misc]taylor:  Taking taylor expansion of (- (* 2 (fma (/ -1 i) 2 (/ -1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 2 (fma (/ -1 i) 2 (/ -1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (* 2 (fma (/ -1 i) 2 (/ -1 alpha))) into (* 2 (fma (/ -1 i) 2 (/ -1 alpha)))
* [misc]backup-simplify:  Simplify (- (* 2 (fma (/ -1 i) 2 (/ -1 alpha)))) into (- (* 2 (fma (/ -1 i) 2 (/ -1 alpha))))
* [misc]backup-simplify:  Simplify (- (* 2 (fma (/ -1 i) 2 (/ -1 alpha)))) into (- (* 2 (fma (/ -1 i) 2 (/ -1 alpha))))
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) 2 (/ -1 alpha))) (* 0 -1))) into (sqr (fma (/ -1 i) 2 (/ -1 alpha)))
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ -1 i) 2 (/ -1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) 2 (/ -1 alpha))) into (sqr (fma (/ -1 i) 2 (/ -1 alpha)))
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ -1 i) 2 (/ -1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) 2 (/ -1 alpha))) into (sqr (fma (/ -1 i) 2 (/ -1 alpha)))
* [misc]backup-simplify:  Simplify (sqr (fma (/ -1 i) 2 (/ -1 alpha))) into (sqr (fma (/ -1 i) 2 (/ -1 alpha)))
* [misc]backup-simplify:  Simplify (+ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (+ (* (- (* 2 (fma (/ -1 i) 2 (/ -1 alpha)))) (* 1 (* 1 (/ 1 (/ 1 (- beta)))))) (* 1 (sqr (* 1 (* 1 (/ 1 (/ 1 (- beta))))))))) into (+ (sqr beta) (+ (* 2 (* (fma (/ -1 i) 2 (/ -1 alpha)) beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))))
* * * * [misc]progress:  [ 4 / 4 ] generating series at (2 1 1 1)
* [misc]approximate:  Taking taylor expansion of (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) in (beta alpha i) around 0
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (+ (+ beta alpha) i) in i
* [misc]taylor:  Taking taylor expansion of (+ beta alpha) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ beta alpha) into (+ beta alpha)
* [misc]backup-simplify:  Simplify (+ (+ beta alpha) 0) into (+ beta alpha)
* [misc]backup-simplify:  Simplify (+ beta (fma i 2 alpha)) into (+ beta (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (/ (+ beta alpha) (+ beta (fma i 2 alpha))) into (/ (+ beta alpha) (+ beta (fma i 2 alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ beta alpha) i) in alpha
* [misc]taylor:  Taking taylor expansion of (+ beta alpha) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (+ beta i) into (+ beta i)
* [misc]backup-simplify:  Simplify (+ beta (fma i 2 alpha)) into (+ beta (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (/ (+ beta i) (+ beta (fma i 2 alpha))) into (/ (+ beta i) (+ beta (fma i 2 alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ beta alpha) i) in beta
* [misc]taylor:  Taking taylor expansion of (+ beta alpha) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in beta
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ 0 alpha) into alpha
* [misc]backup-simplify:  Simplify (+ alpha i) into (+ alpha i)
* [misc]backup-simplify:  Simplify (+ 0 (fma i 2 alpha)) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (/ (+ alpha i) (fma i 2 alpha)) into (/ (+ alpha i) (fma i 2 alpha))
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ beta alpha) i) in beta
* [misc]taylor:  Taking taylor expansion of (+ beta alpha) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in beta
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ 0 alpha) into alpha
* [misc]backup-simplify:  Simplify (+ alpha i) into (+ alpha i)
* [misc]backup-simplify:  Simplify (+ 0 (fma i 2 alpha)) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (/ (+ alpha i) (fma i 2 alpha)) into (/ (+ alpha i) (fma i 2 alpha))
* [misc]taylor:  Taking taylor expansion of (/ (+ alpha i) (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ 0 i) into i
* [misc]backup-simplify:  Simplify (/ i (fma i 2 alpha)) into (/ i (fma i 2 alpha))
* [misc]taylor:  Taking taylor expansion of (/ i (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (/ 1 (fma i 2 alpha)) into (/ 1 (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (- (/ 1 (fma i 2 alpha)) (+ (* (/ (+ alpha i) (fma i 2 alpha)) (/ 1 (fma i 2 alpha))))) into (- (/ 1 (fma i 2 alpha)) (+ (/ i (sqr (fma i 2 alpha))) (/ alpha (sqr (fma i 2 alpha)))))
* [misc]taylor:  Taking taylor expansion of (- (/ 1 (fma i 2 alpha)) (+ (/ i (sqr (fma i 2 alpha))) (/ alpha (sqr (fma i 2 alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (/ 1 (fma i 2 alpha)) into (/ 1 (fma i 2 alpha))
* [misc]taylor:  Taking taylor expansion of (+ (/ i (sqr (fma i 2 alpha))) (/ alpha (sqr (fma i 2 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ i (sqr (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (/ i (sqr (fma i 2 alpha))) into (/ i (sqr (fma i 2 alpha)))
* [misc]taylor:  Taking taylor expansion of (/ alpha (sqr (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (/ 1 (sqr (fma i 2 alpha))) into (/ 1 (sqr (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (+ (/ i (sqr (fma i 2 alpha))) 0) into (/ i (sqr (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (- (/ i (sqr (fma i 2 alpha)))) into (- (/ i (sqr (fma i 2 alpha))))
* [misc]backup-simplify:  Simplify (+ (/ 1 (fma i 2 alpha)) (- (/ i (sqr (fma i 2 alpha))))) into (- (/ 1 (fma i 2 alpha)) (/ i (sqr (fma i 2 alpha))))
* [misc]taylor:  Taking taylor expansion of (- (/ 1 (fma i 2 alpha)) (/ i (sqr (fma i 2 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (/ 1 (fma i 2 alpha)) into (/ 1 (fma i 2 alpha))
* [misc]taylor:  Taking taylor expansion of (/ i (sqr (fma i 2 alpha))) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (/ 1 (sqr (fma i 2 alpha))) into (/ 1 (sqr (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (+ (/ 1 (fma i 2 alpha)) 0) into (/ 1 (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (/ 1 (fma i 2 alpha)) into (/ 1 (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (- (/ 1 (fma i 2 alpha)) (+ (* (/ i (fma i 2 alpha)) (/ 0 (fma i 2 alpha))))) into (/ 1 (fma i 2 alpha))
* [misc]taylor:  Taking taylor expansion of (/ 1 (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (/ 1 (fma i 2 alpha)) into (/ 1 (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (/ 1 (fma i 2 alpha)) into (/ 1 (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (/ 1 (fma i 2 alpha)) into (/ 1 (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (+ (* (/ 1 (fma i 2 alpha)) (* i (* 1 1))) (+ (* (/ 1 (fma i 2 alpha)) (* 1 (* alpha 1))) (* (/ 1 (fma i 2 alpha)) (* 1 (* 1 beta))))) into (+ (/ i (fma i 2 alpha)) (+ (/ beta (fma i 2 alpha)) (/ alpha (fma i 2 alpha))))
* [misc]approximate:  Taking taylor expansion of (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in (beta alpha i) around 0
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) in i
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (/ 1 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) into (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) into (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (/ 1 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) into (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) into (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (/ 1 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (/ 1 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of 1 in alpha
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 alpha)) into (/ 1 alpha)
* [misc]backup-simplify:  Simplify (+ (/ 1 alpha) (/ 1 i)) into (+ (/ 1 i) (/ 1 alpha))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (fma (/ 1 i) 2 (/ 1 alpha))) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (- (/ (+ (/ 1 i) (/ 1 alpha)) 1) (+ (* 1 (/ (fma (/ 1 i) 2 (/ 1 alpha)) 1)))) into (- (+ (/ 1 i) (/ 1 alpha)) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]taylor:  Taking taylor expansion of (- (+ (/ 1 i) (/ 1 alpha)) (fma (/ 1 i) 2 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 i) (/ 1 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]taylor:  Taking taylor expansion of 1 in i
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 1 in i
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (- (+ (/ 1 i) (/ 1 alpha)) (fma (/ 1 i) 2 (/ 1 alpha))) (/ (fma (/ 1 i) 2 (/ 1 alpha)) 1)))) into (- (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (+ (/ (fma (/ 1 i) 2 (/ 1 alpha)) i) (/ (fma (/ 1 i) 2 (/ 1 alpha)) alpha)))
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (+ (/ (fma (/ 1 i) 2 (/ 1 alpha)) i) (/ (fma (/ 1 i) 2 (/ 1 alpha)) alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ 1 i) 2 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (+ (/ (fma (/ 1 i) 2 (/ 1 alpha)) i) (/ (fma (/ 1 i) 2 (/ 1 alpha)) alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) 2 (/ 1 alpha)) i) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) 2 (/ 1 alpha)) i) into (/ (fma (/ 1 i) 2 (/ 1 alpha)) i)
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) 2 (/ 1 alpha)) alpha) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) 2 (/ 1 alpha)) 1) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ 0 (fma (/ 1 i) 2 (/ 1 alpha))) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (- (fma (/ 1 i) 2 (/ 1 alpha))) into (- (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (+ 0 (- (fma (/ 1 i) 2 (/ 1 alpha)))) into (- (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]taylor:  Taking taylor expansion of (- (fma (/ 1 i) 2 (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (/ 1 i) 0) into (/ 1 i)
* [misc]backup-simplify:  Simplify (- (fma (/ 1 i) 2 (/ 1 alpha))) into (- (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (+ (/ 1 i) (- (fma (/ 1 i) 2 (/ 1 alpha)))) into (- (/ 1 i) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]taylor:  Taking taylor expansion of (- (/ 1 i) (fma (/ 1 i) 2 (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 1 (+ (* 1 (* 1 (* (/ 1 (/ 1 alpha)) (/ 1 beta)))) (* 1 (* (/ 1 (/ 1 i)) (* 1 (/ 1 beta)))))) into (+ 1 (+ (/ alpha beta) (/ i beta)))
* [misc]approximate:  Taking taylor expansion of (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in (beta alpha i) around 0
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) in i
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (/ 1 (- alpha))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in i
* [misc]taylor:  Taking taylor expansion of (- beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in i
* [misc]taylor:  Taking taylor expansion of (- alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in i
* [misc]taylor:  Taking taylor expansion of (- i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in i
* [misc]taylor:  Taking taylor expansion of (- beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (+ (/ -1 beta) (fma (/ -1 i) 2 (/ -1 alpha))) into (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))
* [misc]backup-simplify:  Simplify (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) into (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (/ 1 (- alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (- alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in alpha
* [misc]taylor:  Taking taylor expansion of (- i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (+ (/ -1 beta) (fma (/ -1 i) 2 (/ -1 alpha))) into (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))
* [misc]backup-simplify:  Simplify (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) into (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (/ 1 (- alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in beta
* [misc]taylor:  Taking taylor expansion of (- i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (/ -1 -1) into 1
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (/ 1 (- alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in beta
* [misc]taylor:  Taking taylor expansion of (- i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (/ -1 -1) into 1
* [misc]taylor:  Taking taylor expansion of 1 in alpha
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (/ -1 alpha)) into (- (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (- (/ 1 alpha)) (/ -1 i)) into (- (+ (/ 1 i) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (fma (/ -1 i) 2 (/ -1 alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (- (/ (- (+ (/ 1 i) (/ 1 alpha))) -1) (+ (* 1 (/ (fma (/ -1 i) 2 (/ -1 alpha)) -1)))) into (+ (fma (/ -1 i) 2 (/ -1 alpha)) (+ (/ 1 alpha) (/ 1 i)))
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ -1 i) 2 (/ -1 alpha)) (+ (/ 1 alpha) (/ 1 i))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 alpha) (/ 1 i)) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]taylor:  Taking taylor expansion of 1 in i
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 1 in i
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 alpha) (/ 0 (- alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 i) (/ 0 (- i))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 -1) (+ (* 1 (/ 0 -1)) (* (+ (fma (/ -1 i) 2 (/ -1 alpha)) (+ (/ 1 alpha) (/ 1 i))) (/ (fma (/ -1 i) 2 (/ -1 alpha)) -1)))) into (+ (/ (fma (/ -1 i) 2 (/ -1 alpha)) i) (+ (/ (fma (/ -1 i) 2 (/ -1 alpha)) alpha) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))))
* [misc]taylor:  Taking taylor expansion of (+ (/ (fma (/ -1 i) 2 (/ -1 alpha)) i) (+ (/ (fma (/ -1 i) 2 (/ -1 alpha)) alpha) (sqr (fma (/ -1 i) 2 (/ -1 alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) 2 (/ -1 alpha)) i) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) 2 (/ -1 alpha)) i) into (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)
* [misc]taylor:  Taking taylor expansion of (+ (/ (fma (/ -1 i) 2 (/ -1 alpha)) alpha) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) 2 (/ -1 alpha)) alpha) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) 2 (/ -1 alpha)) 1) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ -1 i) 2 (/ -1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (+ (fma (/ -1 i) 2 (/ -1 alpha)) 0) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (+ 0 (fma (/ -1 i) 2 (/ -1 alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 i)) into (/ 1 i)
* [misc]backup-simplify:  Simplify (+ (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 i)) into (+ (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 i))
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 i)) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 1 (+ (* 1 (* 1 (* (/ 1 (/ 1 (- alpha))) (/ 1 (- beta))))) (* 1 (* (/ 1 (/ 1 (- i))) (* 1 (/ 1 (- beta))))))) into (+ 1 (+ (/ alpha beta) (/ i beta)))
* * * [misc]progress:  generating rewritten candidates
* * * * [misc]progress:  [ 1 / 4 ] rewriting at (2)
* * * * [misc]progress:  [ 2 / 4 ] rewriting at (2 1)
* * * * [misc]progress:  [ 3 / 4 ] rewriting at (2 2 1)
* * * * [misc]progress:  [ 4 / 4 ] rewriting at (2 1 1 1)
* * * [misc]progress:  simplifying candidates
* * * * [misc]progress:  [ 1 / 117 ] simplifiying candidate #<alt-event (λ (alpha beta i) (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* beta i)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))))))>
* [enter]simplify:  Simplifying (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* beta i)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))))
* * [misc]simplify:  iters left: 6 (24 enodes)
* * [misc]simplify:  iters left: 5 (56 enodes)
* * [misc]simplify:  iters left: 4 (134 enodes)
* * [misc]simplify:  iters left: 3 (351 enodes)
* [exit]simplify:  Simplified to (fma (/ (fma i (+ beta (+ i alpha)) (* beta alpha)) (* (fma i 2 alpha) (fma i 2 alpha))) (* (/ i (- (* (fma i 2 alpha) (fma i 2 alpha)) 1.0)) (+ i beta)) (* (/ (* alpha i) (- (* (fma i 2 alpha) (fma i 2 alpha)) 1.0)) (/ (fma i (+ beta (+ i alpha)) (* beta alpha)) (* (fma i 2 alpha) (fma i 2 alpha)))))
* * * * [misc]progress:  [ 2 / 117 ] simplifiying candidate #<alt-event (λ (alpha beta i) (+ (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) (pow beta 3)) (+ (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i)) (pow beta 4)) (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) (pow beta 4)))))>
* [enter]simplify:  Simplifying (+ (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) (pow beta 3)) (+ (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i)) (pow beta 4)) (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) (pow beta 4))))
* * [misc]simplify:  iters left: 6 (26 enodes)
* * [misc]simplify:  iters left: 5 (47 enodes)
* * [misc]simplify:  iters left: 4 (66 enodes)
* * [misc]simplify:  iters left: 3 (95 enodes)
* * [misc]simplify:  iters left: 2 (140 enodes)
* * [misc]simplify:  iters left: 1 (237 enodes)
* [exit]simplify:  Simplified to (fma (/ (fma (/ 1 i) (+ (/ 1 alpha) (+ (/ 1 beta) (/ 1 i))) (/ 1 (* beta alpha))) beta) (/ i (* beta beta)) (* (/ (fma (/ 1 i) (+ (/ 1 alpha) (+ (/ 1 beta) (/ 1 i))) (/ 1 (* beta alpha))) (/ (pow beta 4) i)) (+ i alpha)))
* * * * [misc]progress:  [ 3 / 117 ] simplifiying candidate #<alt-event (λ (alpha beta i) (+ (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i)) (pow beta 4)) (+ (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i) (pow beta 3)) (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* alpha i)) (pow beta 4)))))>
* [enter]simplify:  Simplifying (+ (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i)) (pow beta 4)) (+ (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i) (pow beta 3)) (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* alpha i)) (pow beta 4))))
* * [misc]simplify:  iters left: 6 (33 enodes)
* * [misc]simplify:  iters left: 5 (60 enodes)
* * [misc]simplify:  iters left: 4 (86 enodes)
* * [misc]simplify:  iters left: 3 (126 enodes)
* * [misc]simplify:  iters left: 2 (174 enodes)
* * [misc]simplify:  iters left: 1 (276 enodes)
* [exit]simplify:  Simplified to (fma (/ (fma (/ -1 i) (- (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) (/ 1 (* beta alpha))) (* beta beta)) (/ i beta) (* (/ (fma (/ -1 i) (- (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) (/ 1 (* beta alpha))) (/ (pow beta 4) i)) (+ alpha i)))
* * * * [misc]progress:  [ 4 / 117 ] simplifiying candidate #<alt-event (λ (alpha beta i) (/ (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* beta i)) (sqr (fma i 2 alpha))) (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (sqr (fma i 2 alpha))) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (sqr (fma i 2 alpha))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (/ (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* beta i)) (sqr (fma i 2 alpha))) (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (sqr (fma i 2 alpha))) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (sqr (fma i 2 alpha))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0))
* * [misc]simplify:  iters left: 6 (26 enodes)
* * [misc]simplify:  iters left: 5 (46 enodes)
* * [misc]simplify:  iters left: 4 (96 enodes)
* * [misc]simplify:  iters left: 3 (199 enodes)
* * [misc]simplify:  iters left: 2 (388 enodes)
* [exit]simplify:  Simplified to (/ (fma (/ (fma i (+ beta (+ i alpha)) (* beta alpha)) (fma i 2 alpha)) (* (/ i (fma i 2 alpha)) (+ i alpha)) (/ (fma i (+ beta (+ i alpha)) (* beta alpha)) (/ (* (fma i 2 alpha) (fma i 2 alpha)) (* beta i)))) (- (sqr (+ (fma i 2 alpha) beta)) 1.0))
* * * * [misc]progress:  [ 5 / 117 ] simplifiying candidate #<alt-event (λ (alpha beta i) (/ (+ (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) beta) (+ (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i)) (sqr beta)) (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) (sqr beta)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (/ (+ (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) beta) (+ (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i)) (sqr beta)) (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) (sqr beta)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0))
* * [misc]simplify:  iters left: 6 (30 enodes)
* * [misc]simplify:  iters left: 5 (53 enodes)
* * [misc]simplify:  iters left: 4 (90 enodes)
* * [misc]simplify:  iters left: 3 (175 enodes)
* * [misc]simplify:  iters left: 2 (329 enodes)
* * [misc]simplify:  iters left: 1 (491 enodes)
* [exit]simplify:  Simplified to (/ (* (/ (fma (/ 1 i) (+ (/ 1 alpha) (+ (/ 1 beta) (/ 1 i))) (/ 1 (* beta alpha))) beta) (fma (/ i beta) (+ i alpha) i)) (- (* (+ beta (fma i 2 alpha)) (+ beta (fma i 2 alpha))) 1.0))
* * * * [misc]progress:  [ 6 / 117 ] simplifiying candidate #<alt-event (λ (alpha beta i) (/ (+ (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i) beta) (+ (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr i)) (sqr beta)) (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* alpha i)) (sqr beta)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (/ (+ (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i) beta) (+ (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr i)) (sqr beta)) (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* alpha i)) (sqr beta)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0))
* * [misc]simplify:  iters left: 6 (33 enodes)
* * [misc]simplify:  iters left: 5 (59 enodes)
* * [misc]simplify:  iters left: 4 (103 enodes)
* * [misc]simplify:  iters left: 3 (197 enodes)
* * [misc]simplify:  iters left: 2 (359 enodes)
* [exit]simplify:  Simplified to (/ (* (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* alpha beta))) beta) (fma (/ i beta) alpha (fma (/ i beta) i i))) (- (sqr (+ (fma i 2 alpha) beta)) 1.0))
* * * * [misc]progress:  [ 7 / 117 ] simplifiying candidate #<alt-event (λ (alpha beta i) (/ (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0)))>
* [enter]simplify:  Simplifying (/ (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0))
* * [misc]simplify:  iters left: 6 (23 enodes)
* * [misc]simplify:  iters left: 5 (44 enodes)
* * [misc]simplify:  iters left: 4 (76 enodes)
* * [misc]simplify:  iters left: 3 (169 enodes)
* * [misc]simplify:  iters left: 2 (344 enodes)
* [exit]simplify:  Simplified to (/ (* (/ i (+ (fma i 2 alpha) beta)) (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta))) (/ (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) (fma i (+ (+ alpha i) beta) (* alpha beta))))
* * * * [misc]progress:  [ 8 / 117 ] simplifiying candidate #<alt-event (λ (alpha beta i) (/ (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (+ (* 2 (* beta (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr beta))) 1.0)))>
* [enter]simplify:  Simplifying (/ (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (+ (* 2 (* beta (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr beta))) 1.0))
* * [misc]simplify:  iters left: 6 (27 enodes)
* * [misc]simplify:  iters left: 5 (50 enodes)
* * [misc]simplify:  iters left: 4 (81 enodes)
* * [misc]simplify:  iters left: 3 (168 enodes)
* * [misc]simplify:  iters left: 2 (349 enodes)
* [exit]simplify:  Simplified to (* (/ (* (fma i (+ (+ alpha i) beta) (* alpha beta)) (/ i (+ (fma i 2 alpha) beta))) (fma (fma beta 2 (fma (/ 1 i) 2 (/ 1 alpha))) (fma (/ 1 i) 2 (/ 1 alpha)) (- (sqr beta) 1.0))) (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)))
* * * * [misc]progress:  [ 9 / 117 ] simplifiying candidate #<alt-event (λ (alpha beta i) (/ (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (+ (sqr beta) (+ (* 2 (* (fma (/ -1 i) 2 (/ -1 alpha)) beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha))))) 1.0)))>
* [enter]simplify:  Simplifying (/ (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (+ (sqr beta) (+ (* 2 (* (fma (/ -1 i) 2 (/ -1 alpha)) beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha))))) 1.0))
* * [misc]simplify:  iters left: 6 (27 enodes)
* * [misc]simplify:  iters left: 5 (48 enodes)
* * [misc]simplify:  iters left: 4 (79 enodes)
* * [misc]simplify:  iters left: 3 (166 enodes)
* * [misc]simplify:  iters left: 2 (347 enodes)
* [exit]simplify:  Simplified to (/ (* (/ (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (+ (fma i 2 alpha) beta)) (* i (fma i (+ (+ alpha i) beta) (* alpha beta)))) (fma (fma 2 (fma (/ -1 i) 2 (/ -1 alpha)) beta) beta (- (sqr (fma (/ -1 i) 2 (/ -1 alpha))) 1.0)))
* * * * [misc]progress:  [ 10 / 117 ] simplifiying candidate #<alt-event (λ (alpha beta i) (/ (* (* (+ (/ i (fma i 2 alpha)) (+ (/ beta (fma i 2 alpha)) (/ alpha (fma i 2 alpha)))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (/ (* (* (+ (/ i (fma i 2 alpha)) (+ (/ beta (fma i 2 alpha)) (/ alpha (fma i 2 alpha)))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0))
* * [misc]simplify:  iters left: 6 (22 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (72 enodes)
* * [misc]simplify:  iters left: 3 (158 enodes)
* * [misc]simplify:  iters left: 2 (380 enodes)
* [exit]simplify:  Simplified to (/ (* (+ (/ i (fma i 2 alpha)) (+ (/ alpha (fma i 2 alpha)) (/ beta (fma i 2 alpha)))) (* (fma i (+ beta (+ i alpha)) (* beta alpha)) i)) (* (- (sqr (+ beta (fma i 2 alpha))) 1.0) (+ beta (fma i 2 alpha))))
* * * * [misc]progress:  [ 11 / 117 ] simplifiying candidate #<alt-event (λ (alpha beta i) (/ (* (* (+ 1 (+ (/ alpha beta) (/ i beta))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (/ (* (* (+ 1 (+ (/ alpha beta) (/ i beta))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0))
* * [misc]simplify:  iters left: 6 (22 enodes)
* * [misc]simplify:  iters left: 5 (38 enodes)
* * [misc]simplify:  iters left: 4 (74 enodes)
* * [misc]simplify:  iters left: 3 (192 enodes)
* * [misc]simplify:  iters left: 2 (477 enodes)
* [exit]simplify:  Simplified to (/ (* (fma i (+ i (+ beta alpha)) (* alpha beta)) (fma (+ (/ i beta) (/ alpha beta)) (/ i (+ beta (fma i 2 alpha))) (/ i (+ beta (fma i 2 alpha))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0))
* * * * [misc]progress:  [ 12 / 117 ] simplifiying candidate #<alt-event (λ (alpha beta i) (/ (* (* (+ 1 (+ (/ alpha beta) (/ i beta))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (/ (* (* (+ 1 (+ (/ alpha beta) (/ i beta))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0))
* * [misc]simplify:  iters left: 6 (22 enodes)
* * [misc]simplify:  iters left: 5 (38 enodes)
* * [misc]simplify:  iters left: 4 (74 enodes)
* * [misc]simplify:  iters left: 3 (192 enodes)
* * [misc]simplify:  iters left: 2 (477 enodes)
* [exit]simplify:  Simplified to (/ (* (fma i (+ i (+ beta alpha)) (* alpha beta)) (fma (+ (/ i beta) (/ alpha beta)) (/ i (+ beta (fma i 2 alpha))) (/ i (+ beta (fma i 2 alpha))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0))
* * * * [misc]progress:  [ 13 / 117 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (log1p (expm1 (/ (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))))>
* [enter]simplify:  Simplifying (expm1 (/ (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (32 enodes)
* * [misc]simplify:  iters left: 4 (55 enodes)
* * [misc]simplify:  iters left: 3 (141 enodes)
* * [misc]simplify:  iters left: 2 (314 enodes)
* [exit]simplify:  Simplified to (expm1 (/ (* (+ beta (+ alpha i)) (* (fma i (+ beta (+ alpha i)) (* alpha beta)) (/ i (+ (fma i 2 alpha) beta)))) (* (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0) (+ (fma i 2 alpha) beta))))
* [exit]simplify:  Simplified to (expm1 (/ (* (+ beta (+ alpha i)) (* (fma i (+ beta (+ alpha i)) (* alpha beta)) (/ i (+ (fma i 2 alpha) beta)))) (* (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0) (+ (fma i 2 alpha) beta))))
* * * * [misc]progress:  [ 14 / 117 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (expm1 (log1p (/ (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))))>
* [enter]simplify:  Simplifying (log1p (/ (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (32 enodes)
* * [misc]simplify:  iters left: 4 (55 enodes)
* * [misc]simplify:  iters left: 3 (141 enodes)
* * [misc]simplify:  iters left: 2 (314 enodes)
* [exit]simplify:  Simplified to (log1p (/ (* (+ beta (+ alpha i)) (* (fma i (+ beta (+ alpha i)) (* alpha beta)) (/ i (+ (fma i 2 alpha) beta)))) (* (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0) (+ (fma i 2 alpha) beta))))
* [exit]simplify:  Simplified to (log1p (/ (* (+ beta (+ alpha i)) (* (fma i (+ beta (+ alpha i)) (* alpha beta)) (/ i (+ (fma i 2 alpha) beta)))) (* (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0) (+ (fma i 2 alpha) beta))))
* * * * [misc]progress:  [ 15 / 117 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (pow (/ (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)) 1))>
* * * * [misc]progress:  [ 16 / 117 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (exp (- (+ (+ (- (log (+ (+ beta alpha) i)) (log (+ beta (fma i 2 alpha)))) (log (fma i (+ (+ beta alpha) i) (* alpha beta)))) (log (/ i (+ beta (fma i 2 alpha))))) (log (- (sqr (+ beta (fma i 2 alpha))) 1.0)))))>
* [enter]simplify:  Simplifying (- (+ (+ (- (log (+ (+ beta alpha) i)) (log (+ beta (fma i 2 alpha)))) (log (fma i (+ (+ beta alpha) i) (* alpha beta)))) (log (/ i (+ beta (fma i 2 alpha))))) (log (- (sqr (+ beta (fma i 2 alpha))) 1.0)))
* * [misc]simplify:  iters left: 6 (23 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (58 enodes)
* * [misc]simplify:  iters left: 3 (121 enodes)
* * [misc]simplify:  iters left: 2 (213 enodes)
* * [misc]simplify:  iters left: 1 (329 enodes)
* [exit]simplify:  Simplified to (+ (+ (log (fma i (+ (+ alpha i) beta) (* alpha beta))) (log (/ i (+ beta (fma i 2 alpha))))) (- (- (log (+ (+ alpha i) beta)) (log (+ beta (fma i 2 alpha)))) (log (- (* (+ beta (fma i 2 alpha)) (+ beta (fma i 2 alpha))) 1.0))))
* [exit]simplify:  Simplified to (+ (+ (log (fma i (+ (+ alpha i) beta) (* alpha beta))) (log (/ i (+ beta (fma i 2 alpha))))) (- (- (log (+ (+ alpha i) beta)) (log (+ beta (fma i 2 alpha)))) (log (- (* (+ beta (fma i 2 alpha)) (+ beta (fma i 2 alpha))) 1.0))))
* * * * [misc]progress:  [ 17 / 117 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (exp (- (+ (+ (log (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha)))) (log (fma i (+ (+ beta alpha) i) (* alpha beta)))) (log (/ i (+ beta (fma i 2 alpha))))) (log (- (sqr (+ beta (fma i 2 alpha))) 1.0)))))>
* [enter]simplify:  Simplifying (- (+ (+ (log (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha)))) (log (fma i (+ (+ beta alpha) i) (* alpha beta)))) (log (/ i (+ beta (fma i 2 alpha))))) (log (- (sqr (+ beta (fma i 2 alpha))) 1.0)))
* * [misc]simplify:  iters left: 6 (22 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (62 enodes)
* * [misc]simplify:  iters left: 3 (124 enodes)
* * [misc]simplify:  iters left: 2 (222 enodes)
* * [misc]simplify:  iters left: 1 (337 enodes)
* [exit]simplify:  Simplified to (- (+ (+ (log (/ (+ (+ i beta) alpha) (+ (fma i 2 alpha) beta))) (log (fma i (+ (+ i beta) alpha) (* alpha beta)))) (log (/ i (+ (fma i 2 alpha) beta)))) (log (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0)))
* [exit]simplify:  Simplified to (- (+ (+ (log (/ (+ (+ i beta) alpha) (+ (fma i 2 alpha) beta))) (log (fma i (+ (+ i beta) alpha) (* alpha beta)))) (log (/ i (+ (fma i 2 alpha) beta)))) (log (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0)))
* * * * [misc]progress:  [ 18 / 117 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (exp (- (+ (log (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta)))) (log (/ i (+ beta (fma i 2 alpha))))) (log (- (sqr (+ beta (fma i 2 alpha))) 1.0)))))>
* [enter]simplify:  Simplifying (- (+ (log (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta)))) (log (/ i (+ beta (fma i 2 alpha))))) (log (- (sqr (+ beta (fma i 2 alpha))) 1.0)))
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (39 enodes)
* * [misc]simplify:  iters left: 4 (63 enodes)
* * [misc]simplify:  iters left: 3 (134 enodes)
* * [misc]simplify:  iters left: 2 (253 enodes)
* * [misc]simplify:  iters left: 1 (394 enodes)
* [exit]simplify:  Simplified to (- (log (/ i (+ (fma i 2 alpha) beta))) (- (log (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0)) (log (/ (fma i (+ (+ alpha i) beta) (* alpha beta)) (/ (+ (fma i 2 alpha) beta) (+ (+ alpha i) beta))))))
* [exit]simplify:  Simplified to (- (log (/ i (+ (fma i 2 alpha) beta))) (- (log (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0)) (log (/ (fma i (+ (+ alpha i) beta) (* alpha beta)) (/ (+ (fma i 2 alpha) beta) (+ (+ alpha i) beta))))))
* * * * [misc]progress:  [ 19 / 117 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (exp (- (log (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha))))) (log (- (sqr (+ beta (fma i 2 alpha))) 1.0)))))>
* [enter]simplify:  Simplifying (- (log (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha))))) (log (- (sqr (+ beta (fma i 2 alpha))) 1.0)))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (71 enodes)
* * [misc]simplify:  iters left: 3 (164 enodes)
* * [misc]simplify:  iters left: 2 (309 enodes)
* [exit]simplify:  Simplified to (- (log (* (* (/ i (+ (fma i 2 alpha) beta)) (/ (+ alpha (+ i beta)) (+ (fma i 2 alpha) beta))) (fma i (+ alpha (+ i beta)) (* alpha beta)))) (log (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0)))
* [exit]simplify:  Simplified to (- (log (* (* (/ i (+ (fma i 2 alpha) beta)) (/ (+ alpha (+ i beta)) (+ (fma i 2 alpha) beta))) (fma i (+ alpha (+ i beta)) (* alpha beta)))) (log (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0)))
* * * * [misc]progress:  [ 20 / 117 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (exp (log (/ (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))))>
* [enter]simplify:  Simplifying (log (/ (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (67 enodes)
* * [misc]simplify:  iters left: 3 (174 enodes)
* * [misc]simplify:  iters left: 2 (387 enodes)
* [exit]simplify:  Simplified to (log (* (/ (/ (+ (+ i beta) alpha) (+ (fma i 2 alpha) beta)) (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0)) (* (fma i (+ (+ i beta) alpha) (* alpha beta)) (/ i (+ (fma i 2 alpha) beta)))))
* [exit]simplify:  Simplified to (log (* (/ (/ (+ (+ i beta) alpha) (+ (fma i 2 alpha) beta)) (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0)) (* (fma i (+ (+ i beta) alpha) (* alpha beta)) (/ i (+ (fma i 2 alpha) beta)))))
* * * * [misc]progress:  [ 21 / 117 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (log (exp (/ (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))))>
* [enter]simplify:  Simplifying (exp (/ (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (32 enodes)
* * [misc]simplify:  iters left: 4 (55 enodes)
* * [misc]simplify:  iters left: 3 (141 enodes)
* * [misc]simplify:  iters left: 2 (320 enodes)
* [exit]simplify:  Simplified to (exp (* (/ (/ (+ beta (+ alpha i)) (/ (+ (fma i 2 alpha) beta) i)) (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0)) (/ (fma i (+ beta (+ alpha i)) (* alpha beta)) (+ (fma i 2 alpha) beta))))
* [exit]simplify:  Simplified to (exp (* (/ (/ (+ beta (+ alpha i)) (/ (+ (fma i 2 alpha) beta) i)) (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0)) (/ (fma i (+ beta (+ alpha i)) (* alpha beta)) (+ (fma i 2 alpha) beta))))
* * * * [misc]progress:  [ 22 / 117 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (cbrt (/ (* (* (/ (cube (+ (+ beta alpha) i)) (cube (+ beta (fma i 2 alpha)))) (cube (fma i (+ (+ beta alpha) i) (* alpha beta)))) (cube (/ i (+ beta (fma i 2 alpha))))) (cube (- (sqr (+ beta (fma i 2 alpha))) 1.0)))))>
* [enter]simplify:  Simplifying (/ (* (* (/ (cube (+ (+ beta alpha) i)) (cube (+ beta (fma i 2 alpha)))) (cube (fma i (+ (+ beta alpha) i) (* alpha beta)))) (cube (/ i (+ beta (fma i 2 alpha))))) (cube (- (sqr (+ beta (fma i 2 alpha))) 1.0)))
* * [misc]simplify:  iters left: 6 (23 enodes)
* * [misc]simplify:  iters left: 5 (45 enodes)
* * [misc]simplify:  iters left: 4 (105 enodes)
* * [misc]simplify:  iters left: 3 (338 enodes)
* [exit]simplify:  Simplified to (* (/ (* (cube (fma i (+ alpha (+ i beta)) (* alpha beta))) (cube (/ i (+ beta (fma i 2 alpha))))) (- (* (+ beta (fma i 2 alpha)) (+ beta (fma i 2 alpha))) 1.0)) (* (/ (* (/ (+ alpha (+ i beta)) (+ beta (fma i 2 alpha))) (/ (+ alpha (+ i beta)) (+ beta (fma i 2 alpha)))) (- (* (+ beta (fma i 2 alpha)) (+ beta (fma i 2 alpha))) 1.0)) (/ (/ (+ alpha (+ i beta)) (+ beta (fma i 2 alpha))) (- (* (+ beta (fma i 2 alpha)) (+ beta (fma i 2 alpha))) 1.0))))
* [exit]simplify:  Simplified to (* (/ (* (cube (fma i (+ alpha (+ i beta)) (* alpha beta))) (cube (/ i (+ beta (fma i 2 alpha))))) (- (* (+ beta (fma i 2 alpha)) (+ beta (fma i 2 alpha))) 1.0)) (* (/ (* (/ (+ alpha (+ i beta)) (+ beta (fma i 2 alpha))) (/ (+ alpha (+ i beta)) (+ beta (fma i 2 alpha)))) (- (* (+ beta (fma i 2 alpha)) (+ beta (fma i 2 alpha))) 1.0)) (/ (/ (+ alpha (+ i beta)) (+ beta (fma i 2 alpha))) (- (* (+ beta (fma i 2 alpha)) (+ beta (fma i 2 alpha))) 1.0))))
* * * * [misc]progress:  [ 23 / 117 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (cbrt (/ (* (* (cube (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha)))) (cube (fma i (+ (+ beta alpha) i) (* alpha beta)))) (cube (/ i (+ beta (fma i 2 alpha))))) (cube (- (sqr (+ beta (fma i 2 alpha))) 1.0)))))>
* [enter]simplify:  Simplifying (/ (* (* (cube (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha)))) (cube (fma i (+ (+ beta alpha) i) (* alpha beta)))) (cube (/ i (+ beta (fma i 2 alpha))))) (cube (- (sqr (+ beta (fma i 2 alpha))) 1.0)))
* * [misc]simplify:  iters left: 6 (22 enodes)
* * [misc]simplify:  iters left: 5 (44 enodes)
* * [misc]simplify:  iters left: 4 (95 enodes)
* * [misc]simplify:  iters left: 3 (285 enodes)
* [exit]simplify:  Simplified to (* (* (/ (cube (fma i (+ (+ beta alpha) i) (* alpha beta))) (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0)) (cube (/ (+ (+ beta alpha) i) (+ (fma i 2 alpha) beta)))) (* (/ (sqr (/ i (+ (fma i 2 alpha) beta))) (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0)) (/ (/ i (+ (fma i 2 alpha) beta)) (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0))))
* [exit]simplify:  Simplified to (* (* (/ (cube (fma i (+ (+ beta alpha) i) (* alpha beta))) (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0)) (cube (/ (+ (+ beta alpha) i) (+ (fma i 2 alpha) beta)))) (* (/ (sqr (/ i (+ (fma i 2 alpha) beta))) (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0)) (/ (/ i (+ (fma i 2 alpha) beta)) (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0))))
* * * * [misc]progress:  [ 24 / 117 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (cbrt (/ (* (cube (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta)))) (cube (/ i (+ beta (fma i 2 alpha))))) (cube (- (sqr (+ beta (fma i 2 alpha))) 1.0)))))>
* [enter]simplify:  Simplifying (/ (* (cube (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta)))) (cube (/ i (+ beta (fma i 2 alpha))))) (cube (- (sqr (+ beta (fma i 2 alpha))) 1.0)))
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (45 enodes)
* * [misc]simplify:  iters left: 4 (90 enodes)
* * [misc]simplify:  iters left: 3 (257 enodes)
* [exit]simplify:  Simplified to (/ (cube (* (fma i (+ alpha (+ i beta)) (* alpha beta)) (/ (+ alpha (+ i beta)) (+ (fma i 2 alpha) beta)))) (cube (/ (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0) (/ i (+ (fma i 2 alpha) beta)))))
* [exit]simplify:  Simplified to (/ (cube (* (fma i (+ alpha (+ i beta)) (* alpha beta)) (/ (+ alpha (+ i beta)) (+ (fma i 2 alpha) beta)))) (cube (/ (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0) (/ i (+ (fma i 2 alpha) beta)))))
* * * * [misc]progress:  [ 25 / 117 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (cbrt (/ (cube (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha))))) (cube (- (sqr (+ beta (fma i 2 alpha))) 1.0)))))>
* [enter]simplify:  Simplifying (/ (cube (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha))))) (cube (- (sqr (+ beta (fma i 2 alpha))) 1.0)))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (40 enodes)
* * [misc]simplify:  iters left: 4 (87 enodes)
* * [misc]simplify:  iters left: 3 (223 enodes)
* [exit]simplify:  Simplified to (/ (cube (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (* (fma i (+ (+ alpha i) beta) (* alpha beta)) (/ i (+ (fma i 2 alpha) beta))))) (cube (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0)))
* [exit]simplify:  Simplified to (/ (cube (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (* (fma i (+ (+ alpha i) beta) (* alpha beta)) (/ i (+ (fma i 2 alpha) beta))))) (cube (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0)))
* * * * [misc]progress:  [ 26 / 117 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (cube (cbrt (/ (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))))>
* [enter]simplify:  Simplifying (cbrt (/ (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (32 enodes)
* * [misc]simplify:  iters left: 4 (55 enodes)
* * [misc]simplify:  iters left: 3 (141 enodes)
* * [misc]simplify:  iters left: 2 (314 enodes)
* [exit]simplify:  Simplified to (cbrt (/ (* (+ beta (+ alpha i)) (* (fma i (+ beta (+ alpha i)) (* alpha beta)) (/ i (+ (fma i 2 alpha) beta)))) (* (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0) (+ (fma i 2 alpha) beta))))
* [exit]simplify:  Simplified to (cbrt (/ (* (+ beta (+ alpha i)) (* (fma i (+ beta (+ alpha i)) (* alpha beta)) (/ i (+ (fma i 2 alpha) beta)))) (* (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0) (+ (fma i 2 alpha) beta))))
* * * * [misc]progress:  [ 27 / 117 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (cbrt (cube (/ (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))))>
* [enter]simplify:  Simplifying (cube (/ (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (37 enodes)
* * [misc]simplify:  iters left: 4 (79 enodes)
* * [misc]simplify:  iters left: 3 (226 enodes)
* [exit]simplify:  Simplified to (cube (* (/ (/ (+ alpha (+ i beta)) (+ (fma i 2 alpha) beta)) (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0)) (* (fma i (+ alpha (+ i beta)) (* alpha beta)) (/ i (+ (fma i 2 alpha) beta)))))
* [exit]simplify:  Simplified to (cube (* (/ (/ (+ alpha (+ i beta)) (+ (fma i 2 alpha) beta)) (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0)) (* (fma i (+ alpha (+ i beta)) (* alpha beta)) (/ i (+ (fma i 2 alpha) beta)))))
* * * * [misc]progress:  [ 28 / 117 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (cube (/ (cbrt (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha))))) (cbrt (- (sqr (+ beta (fma i 2 alpha))) 1.0)))))>
* [enter]simplify:  Simplifying (/ (cbrt (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha))))) (cbrt (- (sqr (+ beta (fma i 2 alpha))) 1.0)))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (33 enodes)
* * [misc]simplify:  iters left: 4 (54 enodes)
* * [misc]simplify:  iters left: 3 (123 enodes)
* * [misc]simplify:  iters left: 2 (227 enodes)
* * [misc]simplify:  iters left: 1 (424 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (* (fma i (+ (+ beta alpha) i) (* alpha beta)) (/ (/ i (+ (fma i 2 alpha) beta)) (/ (+ (fma i 2 alpha) beta) (+ (+ beta alpha) i))))) (cbrt (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0)))
* [exit]simplify:  Simplified to (/ (cbrt (* (fma i (+ (+ beta alpha) i) (* alpha beta)) (/ (/ i (+ (fma i 2 alpha) beta)) (/ (+ (fma i 2 alpha) beta) (+ (+ beta alpha) i))))) (cbrt (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0)))
* * * * [misc]progress:  [ 29 / 117 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (cube (/ (* (cbrt (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta)))) (cbrt (/ i (+ beta (fma i 2 alpha))))) (cbrt (- (sqr (+ beta (fma i 2 alpha))) 1.0)))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta)))) (cbrt (/ i (+ beta (fma i 2 alpha))))) (cbrt (- (sqr (+ beta (fma i 2 alpha))) 1.0)))
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (33 enodes)
* * [misc]simplify:  iters left: 4 (48 enodes)
* * [misc]simplify:  iters left: 3 (99 enodes)
* * [misc]simplify:  iters left: 2 (185 enodes)
* * [misc]simplify:  iters left: 1 (287 enodes)
* [exit]simplify:  Simplified to (* (cbrt (* (fma i (+ (+ alpha i) beta) (* alpha beta)) (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)))) (/ (cbrt (/ i (+ (fma i 2 alpha) beta))) (cbrt (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0))))
* [exit]simplify:  Simplified to (* (cbrt (* (fma i (+ (+ alpha i) beta) (* alpha beta)) (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)))) (/ (cbrt (/ i (+ (fma i 2 alpha) beta))) (cbrt (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0))))
* * * * [misc]progress:  [ 30 / 117 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (cube (/ (* (* (cbrt (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha)))) (cbrt (fma i (+ (+ beta alpha) i) (* alpha beta)))) (cbrt (/ i (+ beta (fma i 2 alpha))))) (cbrt (- (sqr (+ beta (fma i 2 alpha))) 1.0)))))>
* [enter]simplify:  Simplifying (/ (* (* (cbrt (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha)))) (cbrt (fma i (+ (+ beta alpha) i) (* alpha beta)))) (cbrt (/ i (+ beta (fma i 2 alpha))))) (cbrt (- (sqr (+ beta (fma i 2 alpha))) 1.0)))
* * [misc]simplify:  iters left: 6 (22 enodes)
* * [misc]simplify:  iters left: 5 (31 enodes)
* * [misc]simplify:  iters left: 4 (49 enodes)
* * [misc]simplify:  iters left: 3 (84 enodes)
* * [misc]simplify:  iters left: 2 (154 enodes)
* * [misc]simplify:  iters left: 1 (223 enodes)
* [exit]simplify:  Simplified to (/ (* (cbrt (/ (+ (+ beta alpha) i) (+ (fma i 2 alpha) beta))) (cbrt (/ i (+ (fma i 2 alpha) beta)))) (/ (cbrt (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0)) (cbrt (fma i (+ (+ beta alpha) i) (* alpha beta)))))
* [exit]simplify:  Simplified to (/ (* (cbrt (/ (+ (+ beta alpha) i) (+ (fma i 2 alpha) beta))) (cbrt (/ i (+ (fma i 2 alpha) beta)))) (/ (cbrt (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0)) (cbrt (fma i (+ (+ beta alpha) i) (* alpha beta)))))
* * * * [misc]progress:  [ 31 / 117 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (cube (/ (* (* (/ (cbrt (+ (+ beta alpha) i)) (cbrt (+ beta (fma i 2 alpha)))) (cbrt (fma i (+ (+ beta alpha) i) (* alpha beta)))) (cbrt (/ i (+ beta (fma i 2 alpha))))) (cbrt (- (sqr (+ beta (fma i 2 alpha))) 1.0)))))>
* [enter]simplify:  Simplifying (/ (* (* (/ (cbrt (+ (+ beta alpha) i)) (cbrt (+ beta (fma i 2 alpha)))) (cbrt (fma i (+ (+ beta alpha) i) (* alpha beta)))) (cbrt (/ i (+ beta (fma i 2 alpha))))) (cbrt (- (sqr (+ beta (fma i 2 alpha))) 1.0)))
* * [misc]simplify:  iters left: 6 (23 enodes)
* * [misc]simplify:  iters left: 5 (34 enodes)
* * [misc]simplify:  iters left: 4 (54 enodes)
* * [misc]simplify:  iters left: 3 (101 enodes)
* * [misc]simplify:  iters left: 2 (181 enodes)
* * [misc]simplify:  iters left: 1 (265 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (fma i (+ beta (+ alpha i)) (* alpha beta))) (/ (cbrt (+ beta (fma i 2 alpha))) (cbrt (+ beta (+ alpha i))))) (/ (cbrt (- (* (+ beta (fma i 2 alpha)) (+ beta (fma i 2 alpha))) 1.0)) (cbrt (/ i (+ beta (fma i 2 alpha))))))
* [exit]simplify:  Simplified to (/ (/ (cbrt (fma i (+ beta (+ alpha i)) (* alpha beta))) (/ (cbrt (+ beta (fma i 2 alpha))) (cbrt (+ beta (+ alpha i))))) (/ (cbrt (- (* (+ beta (fma i 2 alpha)) (+ beta (fma i 2 alpha))) 1.0)) (cbrt (/ i (+ beta (fma i 2 alpha))))))
* * * * [misc]progress:  [ 32 / 117 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (sqr (sqrt (/ (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))))>
* [enter]simplify:  Simplifying (sqrt (/ (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (32 enodes)
* * [misc]simplify:  iters left: 4 (55 enodes)
* * [misc]simplify:  iters left: 3 (141 enodes)
* * [misc]simplify:  iters left: 2 (314 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (* (+ beta (+ alpha i)) (* (fma i (+ beta (+ alpha i)) (* alpha beta)) (/ i (+ (fma i 2 alpha) beta)))) (* (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0) (+ (fma i 2 alpha) beta))))
* [exit]simplify:  Simplified to (sqrt (/ (* (+ beta (+ alpha i)) (* (fma i (+ beta (+ alpha i)) (* alpha beta)) (/ i (+ (fma i 2 alpha) beta)))) (* (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0) (+ (fma i 2 alpha) beta))))
* * * * [misc]progress:  [ 33 / 117 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (sqr (/ (sqrt (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha))))) (sqrt (- (sqr (+ beta (fma i 2 alpha))) 1.0)))))>
* [enter]simplify:  Simplifying (/ (sqrt (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha))))) (sqrt (- (sqr (+ beta (fma i 2 alpha))) 1.0)))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (33 enodes)
* * [misc]simplify:  iters left: 4 (54 enodes)
* * [misc]simplify:  iters left: 3 (123 enodes)
* * [misc]simplify:  iters left: 2 (227 enodes)
* * [misc]simplify:  iters left: 1 (424 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (* (fma i (+ (+ beta alpha) i) (* alpha beta)) (/ (/ i (+ (fma i 2 alpha) beta)) (/ (+ (fma i 2 alpha) beta) (+ (+ beta alpha) i))))) (sqrt (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0)))
* [exit]simplify:  Simplified to (/ (sqrt (* (fma i (+ (+ beta alpha) i) (* alpha beta)) (/ (/ i (+ (fma i 2 alpha) beta)) (/ (+ (fma i 2 alpha) beta) (+ (+ beta alpha) i))))) (sqrt (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0)))
* * * * [misc]progress:  [ 34 / 117 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (sqr (/ (* (sqrt (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta)))) (sqrt (/ i (+ beta (fma i 2 alpha))))) (sqrt (- (sqr (+ beta (fma i 2 alpha))) 1.0)))))>
* [enter]simplify:  Simplifying (/ (* (sqrt (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta)))) (sqrt (/ i (+ beta (fma i 2 alpha))))) (sqrt (- (sqr (+ beta (fma i 2 alpha))) 1.0)))
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (33 enodes)
* * [misc]simplify:  iters left: 4 (48 enodes)
* * [misc]simplify:  iters left: 3 (99 enodes)
* * [misc]simplify:  iters left: 2 (185 enodes)
* * [misc]simplify:  iters left: 1 (287 enodes)
* [exit]simplify:  Simplified to (* (sqrt (* (fma i (+ (+ alpha i) beta) (* alpha beta)) (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)))) (/ (sqrt (/ i (+ (fma i 2 alpha) beta))) (sqrt (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0))))
* [exit]simplify:  Simplified to (* (sqrt (* (fma i (+ (+ alpha i) beta) (* alpha beta)) (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)))) (/ (sqrt (/ i (+ (fma i 2 alpha) beta))) (sqrt (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0))))
* * * * [misc]progress:  [ 35 / 117 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (sqr (/ (* (* (sqrt (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha)))) (sqrt (fma i (+ (+ beta alpha) i) (* alpha beta)))) (sqrt (/ i (+ beta (fma i 2 alpha))))) (sqrt (- (sqr (+ beta (fma i 2 alpha))) 1.0)))))>
* [enter]simplify:  Simplifying (/ (* (* (sqrt (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha)))) (sqrt (fma i (+ (+ beta alpha) i) (* alpha beta)))) (sqrt (/ i (+ beta (fma i 2 alpha))))) (sqrt (- (sqr (+ beta (fma i 2 alpha))) 1.0)))
* * [misc]simplify:  iters left: 6 (22 enodes)
* * [misc]simplify:  iters left: 5 (31 enodes)
* * [misc]simplify:  iters left: 4 (49 enodes)
* * [misc]simplify:  iters left: 3 (84 enodes)
* * [misc]simplify:  iters left: 2 (154 enodes)
* * [misc]simplify:  iters left: 1 (223 enodes)
* [exit]simplify:  Simplified to (/ (* (sqrt (/ (+ (+ beta alpha) i) (+ (fma i 2 alpha) beta))) (sqrt (/ i (+ (fma i 2 alpha) beta)))) (/ (sqrt (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0)) (sqrt (fma i (+ (+ beta alpha) i) (* alpha beta)))))
* [exit]simplify:  Simplified to (/ (* (sqrt (/ (+ (+ beta alpha) i) (+ (fma i 2 alpha) beta))) (sqrt (/ i (+ (fma i 2 alpha) beta)))) (/ (sqrt (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0)) (sqrt (fma i (+ (+ beta alpha) i) (* alpha beta)))))
* * * * [misc]progress:  [ 36 / 117 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (sqr (/ (* (* (/ (sqrt (+ (+ beta alpha) i)) (sqrt (+ beta (fma i 2 alpha)))) (sqrt (fma i (+ (+ beta alpha) i) (* alpha beta)))) (sqrt (/ i (+ beta (fma i 2 alpha))))) (sqrt (- (sqr (+ beta (fma i 2 alpha))) 1.0)))))>
* [enter]simplify:  Simplifying (/ (* (* (/ (sqrt (+ (+ beta alpha) i)) (sqrt (+ beta (fma i 2 alpha)))) (sqrt (fma i (+ (+ beta alpha) i) (* alpha beta)))) (sqrt (/ i (+ beta (fma i 2 alpha))))) (sqrt (- (sqr (+ beta (fma i 2 alpha))) 1.0)))
* * [misc]simplify:  iters left: 6 (23 enodes)
* * [misc]simplify:  iters left: 5 (34 enodes)
* * [misc]simplify:  iters left: 4 (54 enodes)
* * [misc]simplify:  iters left: 3 (101 enodes)
* * [misc]simplify:  iters left: 2 (181 enodes)
* * [misc]simplify:  iters left: 1 (265 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (fma i (+ beta (+ alpha i)) (* alpha beta))) (/ (sqrt (+ beta (fma i 2 alpha))) (sqrt (+ beta (+ alpha i))))) (/ (sqrt (- (* (+ beta (fma i 2 alpha)) (+ beta (fma i 2 alpha))) 1.0)) (sqrt (/ i (+ beta (fma i 2 alpha))))))
* [exit]simplify:  Simplified to (/ (/ (sqrt (fma i (+ beta (+ alpha i)) (* alpha beta))) (/ (sqrt (+ beta (fma i 2 alpha))) (sqrt (+ beta (+ alpha i))))) (/ (sqrt (- (* (+ beta (fma i 2 alpha)) (+ beta (fma i 2 alpha))) 1.0)) (sqrt (/ i (+ beta (fma i 2 alpha))))))
* * * * [misc]progress:  [ 37 / 117 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (- (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha))))) (- (- (sqr (+ beta (fma i 2 alpha))) 1.0))))>
* [enter]simplify:  Simplifying (- (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (31 enodes)
* * [misc]simplify:  iters left: 4 (57 enodes)
* * [misc]simplify:  iters left: 3 (129 enodes)
* * [misc]simplify:  iters left: 2 (239 enodes)
* * [misc]simplify:  iters left: 1 (457 enodes)
* [exit]simplify:  Simplified to (* (fma i (+ (+ alpha i) beta) (* alpha beta)) (/ (* (- i) (+ (+ alpha i) beta)) (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta))))
* [exit]simplify:  Simplified to (* (fma i (+ (+ alpha i) beta) (* alpha beta)) (/ (* (- i) (+ (+ alpha i) beta)) (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta))))
* [enter]simplify:  Simplifying (- (- (sqr (+ beta (fma i 2 alpha))) 1.0))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* * [misc]simplify:  iters left: 3 (44 enodes)
* * [misc]simplify:  iters left: 2 (108 enodes)
* * [misc]simplify:  iters left: 1 (197 enodes)
* [exit]simplify:  Simplified to (- (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0))
* [exit]simplify:  Simplified to (- (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0))
* * * * [misc]progress:  [ 38 / 117 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (/ (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) 1) (/ (/ i (+ beta (fma i 2 alpha))) (- (sqr (+ beta (fma i 2 alpha))) 1.0))))>
* [enter]simplify:  Simplifying (/ (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) 1)
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (26 enodes)
* * [misc]simplify:  iters left: 4 (33 enodes)
* * [misc]simplify:  iters left: 3 (62 enodes)
* * [misc]simplify:  iters left: 2 (91 enodes)
* * [misc]simplify:  iters left: 1 (132 enodes)
* [exit]simplify:  Simplified to (* (fma i (+ (+ beta alpha) i) (* alpha beta)) (/ (+ (+ beta alpha) i) (+ (fma i 2 alpha) beta)))
* [exit]simplify:  Simplified to (* (fma i (+ (+ beta alpha) i) (* alpha beta)) (/ (+ (+ beta alpha) i) (+ (fma i 2 alpha) beta)))
* [enter]simplify:  Simplifying (/ (/ i (+ beta (fma i 2 alpha))) (- (sqr (+ beta (fma i 2 alpha))) 1.0))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (34 enodes)
* * [misc]simplify:  iters left: 3 (62 enodes)
* * [misc]simplify:  iters left: 2 (144 enodes)
* * [misc]simplify:  iters left: 1 (285 enodes)
* [exit]simplify:  Simplified to (/ (/ i (+ (fma i 2 alpha) beta)) (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0))
* [exit]simplify:  Simplified to (/ (/ i (+ (fma i 2 alpha) beta)) (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0))
* * * * [misc]progress:  [ 39 / 117 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* 1 (/ (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0))))>
* * * * [misc]progress:  [ 40 / 117 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (/ 1 (- (sqr (+ beta (fma i 2 alpha))) 1.0))))>
* [enter]simplify:  Simplifying (/ 1 (- (sqr (+ beta (fma i 2 alpha))) 1.0))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (23 enodes)
* * [misc]simplify:  iters left: 3 (47 enodes)
* * [misc]simplify:  iters left: 2 (105 enodes)
* * [misc]simplify:  iters left: 1 (159 enodes)
* [exit]simplify:  Simplified to (/ 1 (- (sqr (+ beta (fma i 2 alpha))) 1.0))
* [exit]simplify:  Simplified to (/ 1 (- (sqr (+ beta (fma i 2 alpha))) 1.0))
* * * * [misc]progress:  [ 41 / 117 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ 1 (/ (- (sqr (+ beta (fma i 2 alpha))) 1.0) (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))))))>
* [enter]simplify:  Simplifying (/ (- (sqr (+ beta (fma i 2 alpha))) 1.0) (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (34 enodes)
* * [misc]simplify:  iters left: 4 (67 enodes)
* * [misc]simplify:  iters left: 3 (180 enodes)
* * [misc]simplify:  iters left: 2 (462 enodes)
* [exit]simplify:  Simplified to (* (/ (/ (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) (fma i (+ (+ i alpha) beta) (* beta alpha))) (+ (+ i alpha) beta)) (/ (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0) i))
* [exit]simplify:  Simplified to (* (/ (/ (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) (fma i (+ (+ i alpha) beta) (* beta alpha))) (+ (+ i alpha) beta)) (/ (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0) i))
* * * * [misc]progress:  [ 42 / 117 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (/ (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) 1) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (/ (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) 1)
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (30 enodes)
* * [misc]simplify:  iters left: 4 (45 enodes)
* * [misc]simplify:  iters left: 3 (94 enodes)
* * [misc]simplify:  iters left: 2 (165 enodes)
* * [misc]simplify:  iters left: 1 (344 enodes)
* [exit]simplify:  Simplified to (* (/ (fma i (+ (+ alpha i) beta) (* alpha beta)) (/ (+ (fma i 2 alpha) beta) (+ (+ alpha i) beta))) (/ i (+ (fma i 2 alpha) beta)))
* [exit]simplify:  Simplified to (* (/ (fma i (+ (+ alpha i) beta) (* alpha beta)) (/ (+ (fma i 2 alpha) beta) (+ (+ alpha i) beta))) (/ i (+ (fma i 2 alpha) beta)))
* * * * [misc]progress:  [ 43 / 117 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ (- (sqr (+ beta (fma i 2 alpha))) 1.0) (/ i (+ beta (fma i 2 alpha))))))>
* [enter]simplify:  Simplifying (/ (- (sqr (+ beta (fma i 2 alpha))) 1.0) (/ i (+ beta (fma i 2 alpha))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (43 enodes)
* * [misc]simplify:  iters left: 3 (99 enodes)
* * [misc]simplify:  iters left: 2 (244 enodes)
* [exit]simplify:  Simplified to (/ (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0) (/ i (+ (fma i 2 alpha) beta)))
* [exit]simplify:  Simplified to (/ (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0) (/ i (+ (fma i 2 alpha) beta)))
* * * * [misc]progress:  [ 44 / 117 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (/ (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (pow (sqr (+ beta (fma i 2 alpha))) 3) (pow 1.0 3))) (+ (sqr (sqr (+ beta (fma i 2 alpha)))) (+ (sqr 1.0) (* (sqr (+ beta (fma i 2 alpha))) 1.0)))))>
* [enter]simplify:  Simplifying (/ (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (pow (sqr (+ beta (fma i 2 alpha))) 3) (pow 1.0 3)))
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (65 enodes)
* * [misc]simplify:  iters left: 3 (167 enodes)
* * [misc]simplify:  iters left: 2 (355 enodes)
* [exit]simplify:  Simplified to (/ (* (fma i (+ beta (+ alpha i)) (* alpha beta)) (* (/ i (+ (fma i 2 alpha) beta)) (/ (+ beta (+ alpha i)) (+ (fma i 2 alpha) beta)))) (- (sqr (cube (+ (fma i 2 alpha) beta))) (cube 1.0)))
* [exit]simplify:  Simplified to (/ (* (fma i (+ beta (+ alpha i)) (* alpha beta)) (* (/ i (+ (fma i 2 alpha) beta)) (/ (+ beta (+ alpha i)) (+ (fma i 2 alpha) beta)))) (- (sqr (cube (+ (fma i 2 alpha) beta))) (cube 1.0)))
* * * * [misc]progress:  [ 45 / 117 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (/ (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (sqr (+ beta (fma i 2 alpha)))) (sqr 1.0))) (+ (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (/ (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (sqr (+ beta (fma i 2 alpha)))) (sqr 1.0)))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (38 enodes)
* * [misc]simplify:  iters left: 4 (72 enodes)
* * [misc]simplify:  iters left: 3 (215 enodes)
* [exit]simplify:  Simplified to (/ (/ (/ (+ (+ i beta) alpha) (+ (fma i 2 alpha) beta)) (/ (/ (+ (fma i 2 alpha) beta) i) (fma i (+ (+ i beta) alpha) (* alpha beta)))) (- (sqr (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta))) (sqr 1.0)))
* [exit]simplify:  Simplified to (/ (/ (/ (+ (+ i beta) alpha) (+ (fma i 2 alpha) beta)) (/ (/ (+ (fma i 2 alpha) beta) i) (fma i (+ (+ i beta) alpha) (* alpha beta)))) (- (sqr (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta))) (sqr 1.0)))
* * * * [misc]progress:  [ 46 / 117 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (* (* (+ (+ beta alpha) i) (fma i (+ (+ beta alpha) i) (* alpha beta))) i) (* (- (sqr (+ beta (fma i 2 alpha))) 1.0) (* (+ beta (fma i 2 alpha)) (+ beta (fma i 2 alpha))))))>
* [enter]simplify:  Simplifying (* (- (sqr (+ beta (fma i 2 alpha))) 1.0) (* (+ beta (fma i 2 alpha)) (+ beta (fma i 2 alpha))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* * [misc]simplify:  iters left: 4 (56 enodes)
* * [misc]simplify:  iters left: 3 (126 enodes)
* * [misc]simplify:  iters left: 2 (239 enodes)
* [exit]simplify:  Simplified to (* (fma (fma i 2 alpha) (+ (fma i 2 alpha) (+ beta beta)) (- (sqr beta) 1.0)) (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)))
* [exit]simplify:  Simplified to (* (fma (fma i 2 alpha) (+ (fma i 2 alpha) (+ beta beta)) (- (sqr beta) 1.0)) (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)))
* * * * [misc]progress:  [ 47 / 117 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) i) (* (- (sqr (+ beta (fma i 2 alpha))) 1.0) (+ beta (fma i 2 alpha)))))>
* [enter]simplify:  Simplifying (* (- (sqr (+ beta (fma i 2 alpha))) 1.0) (+ beta (fma i 2 alpha)))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* * [misc]simplify:  iters left: 4 (31 enodes)
* * [misc]simplify:  iters left: 3 (57 enodes)
* * [misc]simplify:  iters left: 2 (145 enodes)
* * [misc]simplify:  iters left: 1 (323 enodes)
* [exit]simplify:  Simplified to (* (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0) (+ (fma i 2 alpha) beta))
* [exit]simplify:  Simplified to (* (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0) (+ (fma i 2 alpha) beta))
* * * * [misc]progress:  [ 48 / 117 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (* (* (+ (+ beta alpha) i) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (* (- (sqr (+ beta (fma i 2 alpha))) 1.0) (+ beta (fma i 2 alpha)))))>
* [enter]simplify:  Simplifying (* (- (sqr (+ beta (fma i 2 alpha))) 1.0) (+ beta (fma i 2 alpha)))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* * [misc]simplify:  iters left: 4 (31 enodes)
* * [misc]simplify:  iters left: 3 (57 enodes)
* * [misc]simplify:  iters left: 2 (145 enodes)
* * [misc]simplify:  iters left: 1 (323 enodes)
* [exit]simplify:  Simplified to (* (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0) (+ (fma i 2 alpha) beta))
* [exit]simplify:  Simplified to (* (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0) (+ (fma i 2 alpha) beta))
* * * * [misc]progress:  [ 49 / 117 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (log1p (expm1 (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (expm1 (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (40 enodes)
* * [misc]simplify:  iters left: 3 (85 enodes)
* * [misc]simplify:  iters left: 2 (132 enodes)
* * [misc]simplify:  iters left: 1 (278 enodes)
* [exit]simplify:  Simplified to (expm1 (/ (fma i (+ beta (+ alpha i)) (* alpha beta)) (* (/ (+ (fma i 2 alpha) beta) i) (/ (+ (fma i 2 alpha) beta) (+ beta (+ alpha i))))))
* [exit]simplify:  Simplified to (expm1 (/ (fma i (+ beta (+ alpha i)) (* alpha beta)) (* (/ (+ (fma i 2 alpha) beta) i) (/ (+ (fma i 2 alpha) beta) (+ beta (+ alpha i))))))
* * * * [misc]progress:  [ 50 / 117 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (expm1 (log1p (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (log1p (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (40 enodes)
* * [misc]simplify:  iters left: 3 (85 enodes)
* * [misc]simplify:  iters left: 2 (132 enodes)
* * [misc]simplify:  iters left: 1 (278 enodes)
* [exit]simplify:  Simplified to (log1p (/ (fma i (+ beta (+ alpha i)) (* alpha beta)) (* (/ (+ (fma i 2 alpha) beta) i) (/ (+ (fma i 2 alpha) beta) (+ beta (+ alpha i))))))
* [exit]simplify:  Simplified to (log1p (/ (fma i (+ beta (+ alpha i)) (* alpha beta)) (* (/ (+ (fma i 2 alpha) beta) i) (/ (+ (fma i 2 alpha) beta) (+ beta (+ alpha i))))))
* * * * [misc]progress:  [ 51 / 117 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (pow (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) 1) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (26 enodes)
* * [misc]simplify:  iters left: 4 (39 enodes)
* * [misc]simplify:  iters left: 3 (84 enodes)
* * [misc]simplify:  iters left: 2 (130 enodes)
* * [misc]simplify:  iters left: 1 (279 enodes)
* [exit]simplify:  Simplified to (/ (* (fma i (+ (+ alpha i) beta) (* alpha beta)) (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta))) (/ (+ (fma i 2 alpha) beta) i))
* [exit]simplify:  Simplified to (/ (* (fma i (+ (+ alpha i) beta) (* alpha beta)) (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta))) (/ (+ (fma i 2 alpha) beta) i))
* * * * [misc]progress:  [ 52 / 117 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (pow (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) 1) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (26 enodes)
* * [misc]simplify:  iters left: 4 (39 enodes)
* * [misc]simplify:  iters left: 3 (84 enodes)
* * [misc]simplify:  iters left: 2 (130 enodes)
* * [misc]simplify:  iters left: 1 (279 enodes)
* [exit]simplify:  Simplified to (/ (* (fma i (+ (+ alpha i) beta) (* alpha beta)) (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta))) (/ (+ (fma i 2 alpha) beta) i))
* [exit]simplify:  Simplified to (/ (* (fma i (+ (+ alpha i) beta) (* alpha beta)) (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta))) (/ (+ (fma i 2 alpha) beta) i))
* * * * [misc]progress:  [ 53 / 117 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (pow (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) 1) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* * * * [misc]progress:  [ 54 / 117 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (exp (+ (+ (- (log (+ (+ beta alpha) i)) (log (+ beta (fma i 2 alpha)))) (log (fma i (+ (+ beta alpha) i) (* alpha beta)))) (log (/ i (+ beta (fma i 2 alpha)))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (+ (+ (- (log (+ (+ beta alpha) i)) (log (+ beta (fma i 2 alpha)))) (log (fma i (+ (+ beta alpha) i) (* alpha beta)))) (log (/ i (+ beta (fma i 2 alpha)))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (30 enodes)
* * [misc]simplify:  iters left: 4 (42 enodes)
* * [misc]simplify:  iters left: 3 (72 enodes)
* * [misc]simplify:  iters left: 2 (93 enodes)
* * [misc]simplify:  iters left: 1 (121 enodes)
* [exit]simplify:  Simplified to (- (+ (log i) (log (fma i (+ (+ alpha i) beta) (* alpha beta)))) (- (+ (log (+ beta (fma i 2 alpha))) (log (+ beta (fma i 2 alpha)))) (log (+ (+ alpha i) beta))))
* [exit]simplify:  Simplified to (- (+ (log i) (log (fma i (+ (+ alpha i) beta) (* alpha beta)))) (- (+ (log (+ beta (fma i 2 alpha))) (log (+ beta (fma i 2 alpha)))) (log (+ (+ alpha i) beta))))
* * * * [misc]progress:  [ 55 / 117 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (exp (+ (+ (log (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha)))) (log (fma i (+ (+ beta alpha) i) (* alpha beta)))) (log (/ i (+ beta (fma i 2 alpha)))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (+ (+ (log (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha)))) (log (fma i (+ (+ beta alpha) i) (* alpha beta)))) (log (/ i (+ beta (fma i 2 alpha)))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (30 enodes)
* * [misc]simplify:  iters left: 4 (42 enodes)
* * [misc]simplify:  iters left: 3 (63 enodes)
* * [misc]simplify:  iters left: 2 (79 enodes)
* * [misc]simplify:  iters left: 1 (111 enodes)
* [exit]simplify:  Simplified to (+ (+ (log (/ (+ alpha (+ i beta)) (+ (fma i 2 alpha) beta))) (log (fma i (+ alpha (+ i beta)) (* alpha beta)))) (log (/ i (+ (fma i 2 alpha) beta))))
* [exit]simplify:  Simplified to (+ (+ (log (/ (+ alpha (+ i beta)) (+ (fma i 2 alpha) beta))) (log (fma i (+ alpha (+ i beta)) (* alpha beta)))) (log (/ i (+ (fma i 2 alpha) beta))))
* * * * [misc]progress:  [ 56 / 117 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (exp (+ (log (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta)))) (log (/ i (+ beta (fma i 2 alpha)))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (+ (log (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta)))) (log (/ i (+ beta (fma i 2 alpha)))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (31 enodes)
* * [misc]simplify:  iters left: 4 (43 enodes)
* * [misc]simplify:  iters left: 3 (83 enodes)
* * [misc]simplify:  iters left: 2 (134 enodes)
* * [misc]simplify:  iters left: 1 (199 enodes)
* [exit]simplify:  Simplified to (+ (log (* (fma i (+ (+ alpha i) beta) (* alpha beta)) (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)))) (log (/ i (+ (fma i 2 alpha) beta))))
* [exit]simplify:  Simplified to (+ (log (* (fma i (+ (+ alpha i) beta) (* alpha beta)) (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)))) (log (/ i (+ (fma i 2 alpha) beta))))
* * * * [misc]progress:  [ 57 / 117 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (exp (log (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (log (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (30 enodes)
* * [misc]simplify:  iters left: 4 (55 enodes)
* * [misc]simplify:  iters left: 3 (117 enodes)
* * [misc]simplify:  iters left: 2 (195 enodes)
* * [misc]simplify:  iters left: 1 (375 enodes)
* [exit]simplify:  Simplified to (log (/ (fma i (+ (+ alpha i) beta) (* alpha beta)) (* (/ (+ (fma i 2 alpha) beta) (+ (+ alpha i) beta)) (/ (+ (fma i 2 alpha) beta) i))))
* [exit]simplify:  Simplified to (log (/ (fma i (+ (+ alpha i) beta) (* alpha beta)) (* (/ (+ (fma i 2 alpha) beta) (+ (+ alpha i) beta)) (/ (+ (fma i 2 alpha) beta) i))))
* * * * [misc]progress:  [ 58 / 117 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (log (exp (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (exp (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (29 enodes)
* * [misc]simplify:  iters left: 4 (46 enodes)
* * [misc]simplify:  iters left: 3 (91 enodes)
* * [misc]simplify:  iters left: 2 (138 enodes)
* * [misc]simplify:  iters left: 1 (294 enodes)
* [exit]simplify:  Simplified to (exp (/ (/ (+ beta (+ alpha i)) (+ (fma i 2 alpha) beta)) (/ (/ (+ (fma i 2 alpha) beta) i) (fma i (+ beta (+ alpha i)) (* alpha beta)))))
* [exit]simplify:  Simplified to (exp (/ (/ (+ beta (+ alpha i)) (+ (fma i 2 alpha) beta)) (/ (/ (+ (fma i 2 alpha) beta) i) (fma i (+ beta (+ alpha i)) (* alpha beta)))))
* * * * [misc]progress:  [ 59 / 117 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (cbrt (* (* (/ (cube (+ (+ beta alpha) i)) (cube (+ beta (fma i 2 alpha)))) (cube (fma i (+ (+ beta alpha) i) (* alpha beta)))) (cube (/ i (+ beta (fma i 2 alpha)))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (* (* (/ (cube (+ (+ beta alpha) i)) (cube (+ beta (fma i 2 alpha)))) (cube (fma i (+ (+ beta alpha) i) (* alpha beta)))) (cube (/ i (+ beta (fma i 2 alpha)))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (38 enodes)
* * [misc]simplify:  iters left: 4 (94 enodes)
* * [misc]simplify:  iters left: 3 (298 enodes)
* [exit]simplify:  Simplified to (* (cube (/ (+ (+ alpha i) beta) (+ beta (fma i 2 alpha)))) (* (cube (fma i (+ (+ alpha i) beta) (* alpha beta))) (cube (/ i (+ beta (fma i 2 alpha))))))
* [exit]simplify:  Simplified to (* (cube (/ (+ (+ alpha i) beta) (+ beta (fma i 2 alpha)))) (* (cube (fma i (+ (+ alpha i) beta) (* alpha beta))) (cube (/ i (+ beta (fma i 2 alpha))))))
* * * * [misc]progress:  [ 60 / 117 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (cbrt (* (* (cube (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha)))) (cube (fma i (+ (+ beta alpha) i) (* alpha beta)))) (cube (/ i (+ beta (fma i 2 alpha)))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (* (* (cube (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha)))) (cube (fma i (+ (+ beta alpha) i) (* alpha beta)))) (cube (/ i (+ beta (fma i 2 alpha)))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (69 enodes)
* * [misc]simplify:  iters left: 3 (162 enodes)
* [exit]simplify:  Simplified to (* (cube (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta))) (* (cube (/ i (+ (fma i 2 alpha) beta))) (cube (fma i (+ (+ alpha i) beta) (* alpha beta)))))
* [exit]simplify:  Simplified to (* (cube (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta))) (* (cube (/ i (+ (fma i 2 alpha) beta))) (cube (fma i (+ (+ alpha i) beta) (* alpha beta)))))
* * * * [misc]progress:  [ 61 / 117 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (cbrt (* (cube (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta)))) (cube (/ i (+ beta (fma i 2 alpha)))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (* (cube (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta)))) (cube (/ i (+ beta (fma i 2 alpha)))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (64 enodes)
* * [misc]simplify:  iters left: 3 (145 enodes)
* * [misc]simplify:  iters left: 2 (423 enodes)
* [exit]simplify:  Simplified to (* (* (/ (fma i (+ beta (+ alpha i)) (* alpha beta)) (/ (+ (fma i 2 alpha) beta) (+ beta (+ alpha i)))) (cube (/ i (+ (fma i 2 alpha) beta)))) (sqr (/ (fma i (+ beta (+ alpha i)) (* alpha beta)) (/ (+ (fma i 2 alpha) beta) (+ beta (+ alpha i))))))
* [exit]simplify:  Simplified to (* (* (/ (fma i (+ beta (+ alpha i)) (* alpha beta)) (/ (+ (fma i 2 alpha) beta) (+ beta (+ alpha i)))) (cube (/ i (+ (fma i 2 alpha) beta)))) (sqr (/ (fma i (+ beta (+ alpha i)) (* alpha beta)) (/ (+ (fma i 2 alpha) beta) (+ beta (+ alpha i))))))
* * * * [misc]progress:  [ 62 / 117 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (cube (cbrt (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (cbrt (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (40 enodes)
* * [misc]simplify:  iters left: 3 (85 enodes)
* * [misc]simplify:  iters left: 2 (132 enodes)
* * [misc]simplify:  iters left: 1 (278 enodes)
* [exit]simplify:  Simplified to (cbrt (/ (fma i (+ beta (+ alpha i)) (* alpha beta)) (* (/ (+ (fma i 2 alpha) beta) i) (/ (+ (fma i 2 alpha) beta) (+ beta (+ alpha i))))))
* [exit]simplify:  Simplified to (cbrt (/ (fma i (+ beta (+ alpha i)) (* alpha beta)) (* (/ (+ (fma i 2 alpha) beta) i) (/ (+ (fma i 2 alpha) beta) (+ beta (+ alpha i))))))
* * * * [misc]progress:  [ 63 / 117 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (cbrt (cube (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (cube (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (32 enodes)
* * [misc]simplify:  iters left: 4 (69 enodes)
* * [misc]simplify:  iters left: 3 (185 enodes)
* * [misc]simplify:  iters left: 2 (428 enodes)
* [exit]simplify:  Simplified to (cube (* (fma i (+ beta (+ alpha i)) (* alpha beta)) (* (/ i (+ (fma i 2 alpha) beta)) (/ (+ beta (+ alpha i)) (+ (fma i 2 alpha) beta)))))
* [exit]simplify:  Simplified to (cube (* (fma i (+ beta (+ alpha i)) (* alpha beta)) (* (/ i (+ (fma i 2 alpha) beta)) (/ (+ beta (+ alpha i)) (+ (fma i 2 alpha) beta)))))
* * * * [misc]progress:  [ 64 / 117 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (cube (* (cbrt (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta)))) (cbrt (/ i (+ beta (fma i 2 alpha)))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (* (cbrt (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta)))) (cbrt (/ i (+ beta (fma i 2 alpha)))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (25 enodes)
* * [misc]simplify:  iters left: 4 (30 enodes)
* * [misc]simplify:  iters left: 3 (54 enodes)
* * [misc]simplify:  iters left: 2 (80 enodes)
* * [misc]simplify:  iters left: 1 (124 enodes)
* [exit]simplify:  Simplified to (* (cbrt (* (fma i (+ alpha (+ i beta)) (* alpha beta)) (/ (+ alpha (+ i beta)) (+ (fma i 2 alpha) beta)))) (cbrt (/ i (+ (fma i 2 alpha) beta))))
* [exit]simplify:  Simplified to (* (cbrt (* (fma i (+ alpha (+ i beta)) (* alpha beta)) (/ (+ alpha (+ i beta)) (+ (fma i 2 alpha) beta)))) (cbrt (/ i (+ (fma i 2 alpha) beta))))
* * * * [misc]progress:  [ 65 / 117 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (cube (* (* (cbrt (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha)))) (cbrt (fma i (+ (+ beta alpha) i) (* alpha beta)))) (cbrt (/ i (+ beta (fma i 2 alpha)))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (* (* (cbrt (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha)))) (cbrt (fma i (+ (+ beta alpha) i) (* alpha beta)))) (cbrt (/ i (+ beta (fma i 2 alpha)))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (25 enodes)
* * [misc]simplify:  iters left: 4 (31 enodes)
* * [misc]simplify:  iters left: 3 (39 enodes)
* * [misc]simplify:  iters left: 2 (43 enodes)
* [exit]simplify:  Simplified to (* (* (cbrt (/ i (+ (fma i 2 alpha) beta))) (cbrt (fma i (+ beta (+ alpha i)) (* alpha beta)))) (cbrt (/ (+ beta (+ alpha i)) (+ (fma i 2 alpha) beta))))
* [exit]simplify:  Simplified to (* (* (cbrt (/ i (+ (fma i 2 alpha) beta))) (cbrt (fma i (+ beta (+ alpha i)) (* alpha beta)))) (cbrt (/ (+ beta (+ alpha i)) (+ (fma i 2 alpha) beta))))
* * * * [misc]progress:  [ 66 / 117 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (cube (* (* (/ (cbrt (+ (+ beta alpha) i)) (cbrt (+ beta (fma i 2 alpha)))) (cbrt (fma i (+ (+ beta alpha) i) (* alpha beta)))) (cbrt (/ i (+ beta (fma i 2 alpha)))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (* (* (/ (cbrt (+ (+ beta alpha) i)) (cbrt (+ beta (fma i 2 alpha)))) (cbrt (fma i (+ (+ beta alpha) i) (* alpha beta)))) (cbrt (/ i (+ beta (fma i 2 alpha)))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (28 enodes)
* * [misc]simplify:  iters left: 4 (36 enodes)
* * [misc]simplify:  iters left: 3 (56 enodes)
* * [misc]simplify:  iters left: 2 (70 enodes)
* * [misc]simplify:  iters left: 1 (79 enodes)
* [exit]simplify:  Simplified to (* (cbrt (fma i (+ (+ alpha i) beta) (* alpha beta))) (/ (cbrt (/ i (+ beta (fma i 2 alpha)))) (/ (cbrt (+ beta (fma i 2 alpha))) (cbrt (+ (+ alpha i) beta)))))
* [exit]simplify:  Simplified to (* (cbrt (fma i (+ (+ alpha i) beta) (* alpha beta))) (/ (cbrt (/ i (+ beta (fma i 2 alpha)))) (/ (cbrt (+ beta (fma i 2 alpha))) (cbrt (+ (+ alpha i) beta)))))
* * * * [misc]progress:  [ 67 / 117 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (sqr (sqrt (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (sqrt (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (40 enodes)
* * [misc]simplify:  iters left: 3 (85 enodes)
* * [misc]simplify:  iters left: 2 (132 enodes)
* * [misc]simplify:  iters left: 1 (278 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (fma i (+ beta (+ alpha i)) (* alpha beta)) (* (/ (+ (fma i 2 alpha) beta) i) (/ (+ (fma i 2 alpha) beta) (+ beta (+ alpha i))))))
* [exit]simplify:  Simplified to (sqrt (/ (fma i (+ beta (+ alpha i)) (* alpha beta)) (* (/ (+ (fma i 2 alpha) beta) i) (/ (+ (fma i 2 alpha) beta) (+ beta (+ alpha i))))))
* * * * [misc]progress:  [ 68 / 117 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (sqr (* (sqrt (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta)))) (sqrt (/ i (+ beta (fma i 2 alpha)))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (* (sqrt (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta)))) (sqrt (/ i (+ beta (fma i 2 alpha)))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (25 enodes)
* * [misc]simplify:  iters left: 4 (30 enodes)
* * [misc]simplify:  iters left: 3 (54 enodes)
* * [misc]simplify:  iters left: 2 (80 enodes)
* * [misc]simplify:  iters left: 1 (124 enodes)
* [exit]simplify:  Simplified to (* (sqrt (* (fma i (+ alpha (+ i beta)) (* alpha beta)) (/ (+ alpha (+ i beta)) (+ (fma i 2 alpha) beta)))) (sqrt (/ i (+ (fma i 2 alpha) beta))))
* [exit]simplify:  Simplified to (* (sqrt (* (fma i (+ alpha (+ i beta)) (* alpha beta)) (/ (+ alpha (+ i beta)) (+ (fma i 2 alpha) beta)))) (sqrt (/ i (+ (fma i 2 alpha) beta))))
* * * * [misc]progress:  [ 69 / 117 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (sqr (* (* (sqrt (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha)))) (sqrt (fma i (+ (+ beta alpha) i) (* alpha beta)))) (sqrt (/ i (+ beta (fma i 2 alpha)))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (* (* (sqrt (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha)))) (sqrt (fma i (+ (+ beta alpha) i) (* alpha beta)))) (sqrt (/ i (+ beta (fma i 2 alpha)))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (25 enodes)
* * [misc]simplify:  iters left: 4 (31 enodes)
* * [misc]simplify:  iters left: 3 (39 enodes)
* * [misc]simplify:  iters left: 2 (43 enodes)
* [exit]simplify:  Simplified to (* (* (sqrt (/ i (+ (fma i 2 alpha) beta))) (sqrt (fma i (+ beta (+ alpha i)) (* alpha beta)))) (sqrt (/ (+ beta (+ alpha i)) (+ (fma i 2 alpha) beta))))
* [exit]simplify:  Simplified to (* (* (sqrt (/ i (+ (fma i 2 alpha) beta))) (sqrt (fma i (+ beta (+ alpha i)) (* alpha beta)))) (sqrt (/ (+ beta (+ alpha i)) (+ (fma i 2 alpha) beta))))
* * * * [misc]progress:  [ 70 / 117 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (sqr (* (* (/ (sqrt (+ (+ beta alpha) i)) (sqrt (+ beta (fma i 2 alpha)))) (sqrt (fma i (+ (+ beta alpha) i) (* alpha beta)))) (sqrt (/ i (+ beta (fma i 2 alpha)))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (* (* (/ (sqrt (+ (+ beta alpha) i)) (sqrt (+ beta (fma i 2 alpha)))) (sqrt (fma i (+ (+ beta alpha) i) (* alpha beta)))) (sqrt (/ i (+ beta (fma i 2 alpha)))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (28 enodes)
* * [misc]simplify:  iters left: 4 (36 enodes)
* * [misc]simplify:  iters left: 3 (56 enodes)
* * [misc]simplify:  iters left: 2 (70 enodes)
* * [misc]simplify:  iters left: 1 (79 enodes)
* [exit]simplify:  Simplified to (* (sqrt (fma i (+ (+ alpha i) beta) (* alpha beta))) (/ (sqrt (/ i (+ beta (fma i 2 alpha)))) (/ (sqrt (+ beta (fma i 2 alpha))) (sqrt (+ (+ alpha i) beta)))))
* [exit]simplify:  Simplified to (* (sqrt (fma i (+ (+ alpha i) beta) (* alpha beta))) (/ (sqrt (/ i (+ beta (fma i 2 alpha)))) (/ (sqrt (+ beta (fma i 2 alpha))) (sqrt (+ (+ alpha i) beta)))))
* * * * [misc]progress:  [ 71 / 117 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (/ (* (* (+ (+ beta alpha) i) (fma i (+ (+ beta alpha) i) (* alpha beta))) i) (* (+ beta (fma i 2 alpha)) (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (* (* (+ (+ beta alpha) i) (fma i (+ (+ beta alpha) i) (* alpha beta))) i)
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (32 enodes)
* * [misc]simplify:  iters left: 3 (56 enodes)
* * [misc]simplify:  iters left: 2 (126 enodes)
* * [misc]simplify:  iters left: 1 (199 enodes)
* [exit]simplify:  Simplified to (* (fma (+ alpha i) i (* beta i)) (fma i (+ alpha (+ i beta)) (* alpha beta)))
* [exit]simplify:  Simplified to (* (fma (+ alpha i) i (* beta i)) (fma i (+ alpha (+ i beta)) (* alpha beta)))
* [enter]simplify:  Simplifying (* (+ beta (fma i 2 alpha)) (+ beta (fma i 2 alpha)))
* * [misc]simplify:  iters left: 5 (7 enodes)
* * [misc]simplify:  iters left: 4 (15 enodes)
* * [misc]simplify:  iters left: 3 (30 enodes)
* * [misc]simplify:  iters left: 2 (56 enodes)
* * [misc]simplify:  iters left: 1 (78 enodes)
* [exit]simplify:  Simplified to (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta))
* [exit]simplify:  Simplified to (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta))
* * * * [misc]progress:  [ 72 / 117 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (* 1 (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* * * * [misc]progress:  [ 73 / 117 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (* (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) 1) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) 1)
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (29 enodes)
* * [misc]simplify:  iters left: 3 (53 enodes)
* * [misc]simplify:  iters left: 2 (119 enodes)
* * [misc]simplify:  iters left: 1 (183 enodes)
* [exit]simplify:  Simplified to (/ (fma i (+ (+ beta alpha) i) (* alpha beta)) (/ (+ (fma i 2 alpha) beta) (+ (+ beta alpha) i)))
* [exit]simplify:  Simplified to (/ (fma i (+ (+ beta alpha) i) (* alpha beta)) (/ (+ (fma i 2 alpha) beta) (+ (+ beta alpha) i)))
* * * * [misc]progress:  [ 74 / 117 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (* (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) i) (/ 1 (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) i)
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (31 enodes)
* * [misc]simplify:  iters left: 3 (65 enodes)
* * [misc]simplify:  iters left: 2 (127 enodes)
* * [misc]simplify:  iters left: 1 (253 enodes)
* [exit]simplify:  Simplified to (* (fma i (+ (+ alpha i) beta) (* alpha beta)) (/ (fma (+ beta alpha) i (* i i)) (+ (fma i 2 alpha) beta)))
* [exit]simplify:  Simplified to (* (fma i (+ (+ alpha i) beta) (* alpha beta)) (/ (fma (+ beta alpha) i (* i i)) (+ (fma i 2 alpha) beta)))
* * * * [misc]progress:  [ 75 / 117 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (* (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (- (pow beta 3) (pow (fma i 2 alpha) 3)))) (+ (sqr beta) (- (sqr (fma i 2 alpha)) (* beta (fma i 2 alpha))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (- (pow beta 3) (pow (fma i 2 alpha) 3))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (32 enodes)
* * [misc]simplify:  iters left: 4 (49 enodes)
* * [misc]simplify:  iters left: 3 (98 enodes)
* * [misc]simplify:  iters left: 2 (158 enodes)
* * [misc]simplify:  iters left: 1 (375 enodes)
* [exit]simplify:  Simplified to (* (/ i (- (cube beta) (cube (fma i 2 alpha)))) (* (fma i (+ beta (+ alpha i)) (* alpha beta)) (/ (+ beta (+ alpha i)) (+ (fma i 2 alpha) beta))))
* [exit]simplify:  Simplified to (* (/ i (- (cube beta) (cube (fma i 2 alpha)))) (* (fma i (+ beta (+ alpha i)) (* alpha beta)) (/ (+ beta (+ alpha i)) (+ (fma i 2 alpha) beta))))
* * * * [misc]progress:  [ 76 / 117 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (* (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (- (sqr beta) (sqr (fma i 2 alpha))))) (- beta (fma i 2 alpha))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (- (sqr beta) (sqr (fma i 2 alpha)))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (33 enodes)
* * [misc]simplify:  iters left: 4 (54 enodes)
* * [misc]simplify:  iters left: 3 (135 enodes)
* * [misc]simplify:  iters left: 2 (258 enodes)
* [exit]simplify:  Simplified to (* (/ (fma i (+ (+ beta alpha) i) (* alpha beta)) (/ (+ (fma i 2 alpha) beta) i)) (/ (/ (+ (+ beta alpha) i) (- beta (fma i 2 alpha))) (+ (fma i 2 alpha) beta)))
* [exit]simplify:  Simplified to (* (/ (fma i (+ (+ beta alpha) i) (* alpha beta)) (/ (+ (fma i 2 alpha) beta) i)) (/ (/ (+ (+ beta alpha) i) (- beta (fma i 2 alpha))) (+ (fma i 2 alpha) beta)))
* * * * [misc]progress:  [ 77 / 117 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (* (fma i (+ (+ beta alpha) i) (* alpha beta)) (/ i (+ beta (fma i 2 alpha))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (* (fma i (+ (+ beta alpha) i) (* alpha beta)) (/ i (+ beta (fma i 2 alpha))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* * [misc]simplify:  iters left: 4 (25 enodes)
* * [misc]simplify:  iters left: 3 (33 enodes)
* * [misc]simplify:  iters left: 2 (37 enodes)
* * [misc]simplify:  iters left: 1 (38 enodes)
* [exit]simplify:  Simplified to (* (fma i (+ alpha (+ i beta)) (* beta alpha)) (/ i (+ (fma i 2 alpha) beta)))
* [exit]simplify:  Simplified to (* (fma i (+ alpha (+ i beta)) (* beta alpha)) (/ i (+ (fma i 2 alpha) beta)))
* * * * [misc]progress:  [ 78 / 117 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (/ (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) i) (+ beta (fma i 2 alpha))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) i)
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (31 enodes)
* * [misc]simplify:  iters left: 3 (65 enodes)
* * [misc]simplify:  iters left: 2 (127 enodes)
* * [misc]simplify:  iters left: 1 (253 enodes)
* [exit]simplify:  Simplified to (* (fma i (+ (+ alpha i) beta) (* alpha beta)) (/ (fma (+ beta alpha) i (* i i)) (+ (fma i 2 alpha) beta)))
* [exit]simplify:  Simplified to (* (fma i (+ (+ alpha i) beta) (* alpha beta)) (/ (fma (+ beta alpha) i (* i i)) (+ (fma i 2 alpha) beta)))
* * * * [misc]progress:  [ 79 / 117 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (/ (* (* (+ (+ beta alpha) i) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (+ beta (fma i 2 alpha))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (* (* (+ (+ beta alpha) i) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (45 enodes)
* * [misc]simplify:  iters left: 3 (79 enodes)
* * [misc]simplify:  iters left: 2 (184 enodes)
* * [misc]simplify:  iters left: 1 (338 enodes)
* [exit]simplify:  Simplified to (* (/ (fma i (+ alpha i) (* beta i)) (+ beta (fma i 2 alpha))) (fma i (+ (+ alpha i) beta) (* alpha beta)))
* [exit]simplify:  Simplified to (* (/ (fma i (+ alpha i) (* beta i)) (+ beta (fma i 2 alpha))) (fma i (+ (+ alpha i) beta) (* alpha beta)))
* * * * [misc]progress:  [ 80 / 117 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (* (/ i (+ beta (fma i 2 alpha))) (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* * * * [misc]progress:  [ 81 / 117 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (log1p (expm1 (sqr (+ beta (fma i 2 alpha))))) 1.0)))>
* [enter]simplify:  Simplifying (expm1 (sqr (+ beta (fma i 2 alpha))))
* * [misc]simplify:  iters left: 5 (8 enodes)
* * [misc]simplify:  iters left: 4 (10 enodes)
* * [misc]simplify:  iters left: 3 (18 enodes)
* * [misc]simplify:  iters left: 2 (34 enodes)
* * [misc]simplify:  iters left: 1 (58 enodes)
* [exit]simplify:  Simplified to (expm1 (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)))
* [exit]simplify:  Simplified to (expm1 (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)))
* * * * [misc]progress:  [ 82 / 117 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (expm1 (log1p (sqr (+ beta (fma i 2 alpha))))) 1.0)))>
* [enter]simplify:  Simplifying (log1p (sqr (+ beta (fma i 2 alpha))))
* * [misc]simplify:  iters left: 5 (8 enodes)
* * [misc]simplify:  iters left: 4 (10 enodes)
* * [misc]simplify:  iters left: 3 (18 enodes)
* * [misc]simplify:  iters left: 2 (34 enodes)
* * [misc]simplify:  iters left: 1 (58 enodes)
* [exit]simplify:  Simplified to (log1p (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)))
* [exit]simplify:  Simplified to (log1p (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)))
* * * * [misc]progress:  [ 83 / 117 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (pow (+ beta (fma i 2 alpha)) 2) 1.0)))>
* * * * [misc]progress:  [ 84 / 117 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (pow (sqr (+ beta (fma i 2 alpha))) 1) 1.0)))>
* * * * [misc]progress:  [ 85 / 117 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (exp (log (sqr (+ beta (fma i 2 alpha))))) 1.0)))>
* [enter]simplify:  Simplifying (log (sqr (+ beta (fma i 2 alpha))))
* * [misc]simplify:  iters left: 5 (8 enodes)
* * [misc]simplify:  iters left: 4 (10 enodes)
* * [misc]simplify:  iters left: 3 (20 enodes)
* * [misc]simplify:  iters left: 2 (36 enodes)
* * [misc]simplify:  iters left: 1 (60 enodes)
* [exit]simplify:  Simplified to (+ (log (+ (fma i 2 alpha) beta)) (log (+ (fma i 2 alpha) beta)))
* [exit]simplify:  Simplified to (+ (log (+ (fma i 2 alpha) beta)) (log (+ (fma i 2 alpha) beta)))
* * * * [misc]progress:  [ 86 / 117 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (log (exp (sqr (+ beta (fma i 2 alpha))))) 1.0)))>
* [enter]simplify:  Simplifying (exp (sqr (+ beta (fma i 2 alpha))))
* * [misc]simplify:  iters left: 5 (8 enodes)
* * [misc]simplify:  iters left: 4 (10 enodes)
* * [misc]simplify:  iters left: 3 (20 enodes)
* * [misc]simplify:  iters left: 2 (48 enodes)
* * [misc]simplify:  iters left: 1 (88 enodes)
* [exit]simplify:  Simplified to (exp (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)))
* [exit]simplify:  Simplified to (exp (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)))
* * * * [misc]progress:  [ 87 / 117 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (cube (cbrt (sqr (+ beta (fma i 2 alpha))))) 1.0)))>
* [enter]simplify:  Simplifying (cbrt (sqr (+ beta (fma i 2 alpha))))
* * [misc]simplify:  iters left: 5 (8 enodes)
* * [misc]simplify:  iters left: 4 (10 enodes)
* * [misc]simplify:  iters left: 3 (18 enodes)
* * [misc]simplify:  iters left: 2 (34 enodes)
* * [misc]simplify:  iters left: 1 (58 enodes)
* [exit]simplify:  Simplified to (cbrt (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)))
* [exit]simplify:  Simplified to (cbrt (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)))
* * * * [misc]progress:  [ 88 / 117 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (cbrt (cube (sqr (+ beta (fma i 2 alpha))))) 1.0)))>
* [enter]simplify:  Simplifying (cube (sqr (+ beta (fma i 2 alpha))))
* * [misc]simplify:  iters left: 5 (8 enodes)
* * [misc]simplify:  iters left: 4 (12 enodes)
* * [misc]simplify:  iters left: 3 (27 enodes)
* * [misc]simplify:  iters left: 2 (84 enodes)
* * [misc]simplify:  iters left: 1 (237 enodes)
* [exit]simplify:  Simplified to (* (cube (+ (fma i 2 alpha) beta)) (cube (+ (fma i 2 alpha) beta)))
* [exit]simplify:  Simplified to (* (cube (+ (fma i 2 alpha) beta)) (cube (+ (fma i 2 alpha) beta)))
* * * * [misc]progress:  [ 89 / 117 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (sqrt (sqr (+ beta (fma i 2 alpha))))) 1.0)))>
* [enter]simplify:  Simplifying (sqrt (sqr (+ beta (fma i 2 alpha))))
* * [misc]simplify:  iters left: 5 (8 enodes)
* * [misc]simplify:  iters left: 4 (11 enodes)
* * [misc]simplify:  iters left: 3 (19 enodes)
* * [misc]simplify:  iters left: 2 (35 enodes)
* * [misc]simplify:  iters left: 1 (59 enodes)
* [exit]simplify:  Simplified to (fabs (+ (fma i 2 alpha) beta))
* [exit]simplify:  Simplified to (fabs (+ (fma i 2 alpha) beta))
* * * * [misc]progress:  [ 90 / 117 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (* (sqr 1) (sqr (+ beta (fma i 2 alpha)))) 1.0)))>
* [enter]simplify:  Simplifying (sqr 1)
* * [misc]simplify:  iters left: 1 (2 enodes)
* [exit]simplify:  Simplified to (sqr 1)
* [exit]simplify:  Simplified to (sqr 1)
* [enter]simplify:  Simplifying (sqr (+ beta (fma i 2 alpha)))
* * [misc]simplify:  iters left: 4 (7 enodes)
* * [misc]simplify:  iters left: 3 (9 enodes)
* * [misc]simplify:  iters left: 2 (17 enodes)
* * [misc]simplify:  iters left: 1 (33 enodes)
* [exit]simplify:  Simplified to (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta))
* [exit]simplify:  Simplified to (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta))
* * * * [misc]progress:  [ 91 / 117 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (/ (sqr (- (pow beta 3) (pow (fma i 2 alpha) 3))) (sqr (+ (sqr beta) (- (sqr (fma i 2 alpha)) (* beta (fma i 2 alpha)))))) 1.0)))>
* [enter]simplify:  Simplifying (sqr (- (pow beta 3) (pow (fma i 2 alpha) 3)))
* * [misc]simplify:  iters left: 5 (10 enodes)
* * [misc]simplify:  iters left: 4 (13 enodes)
* * [misc]simplify:  iters left: 3 (17 enodes)
* * [misc]simplify:  iters left: 2 (21 enodes)
* [exit]simplify:  Simplified to (* (- (cube beta) (cube (fma i 2 alpha))) (- (cube beta) (cube (fma i 2 alpha))))
* [exit]simplify:  Simplified to (* (- (cube beta) (cube (fma i 2 alpha))) (- (cube beta) (cube (fma i 2 alpha))))
* [enter]simplify:  Simplifying (sqr (+ (sqr beta) (- (sqr (fma i 2 alpha)) (* beta (fma i 2 alpha)))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (33 enodes)
* * [misc]simplify:  iters left: 3 (61 enodes)
* * [misc]simplify:  iters left: 2 (115 enodes)
* * [misc]simplify:  iters left: 1 (253 enodes)
* [exit]simplify:  Simplified to (* (fma (fma i 2 alpha) (- (fma i 2 alpha) beta) (sqr beta)) (fma (fma i 2 alpha) (- (fma i 2 alpha) beta) (sqr beta)))
* [exit]simplify:  Simplified to (* (fma (fma i 2 alpha) (- (fma i 2 alpha) beta) (sqr beta)) (fma (fma i 2 alpha) (- (fma i 2 alpha) beta) (sqr beta)))
* * * * [misc]progress:  [ 92 / 117 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (/ (sqr (- (sqr beta) (sqr (fma i 2 alpha)))) (sqr (- beta (fma i 2 alpha)))) 1.0)))>
* [enter]simplify:  Simplifying (sqr (- (sqr beta) (sqr (fma i 2 alpha))))
* * [misc]simplify:  iters left: 5 (9 enodes)
* * [misc]simplify:  iters left: 4 (15 enodes)
* * [misc]simplify:  iters left: 3 (22 enodes)
* * [misc]simplify:  iters left: 2 (43 enodes)
* * [misc]simplify:  iters left: 1 (110 enodes)
* [exit]simplify:  Simplified to (* (- (sqr beta) (* (fma i 2 alpha) (fma i 2 alpha))) (- (sqr beta) (* (fma i 2 alpha) (fma i 2 alpha))))
* [exit]simplify:  Simplified to (* (- (sqr beta) (* (fma i 2 alpha) (fma i 2 alpha))) (- (sqr beta) (* (fma i 2 alpha) (fma i 2 alpha))))
* [enter]simplify:  Simplifying (sqr (- beta (fma i 2 alpha)))
* * [misc]simplify:  iters left: 4 (7 enodes)
* * [misc]simplify:  iters left: 3 (8 enodes)
* [exit]simplify:  Simplified to (* (- beta (fma i 2 alpha)) (- beta (fma i 2 alpha)))
* [exit]simplify:  Simplified to (* (- beta (fma i 2 alpha)) (- beta (fma i 2 alpha)))
* * * * [misc]progress:  [ 93 / 117 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (* (+ beta (fma i 2 alpha)) (+ beta (fma i 2 alpha))) 1.0)))>
* * * * [misc]progress:  [ 94 / 117 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (* 1 (sqr (+ beta (fma i 2 alpha)))) 1.0)))>
* * * * [misc]progress:  [ 95 / 117 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (* (* (log1p (expm1 (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (expm1 (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (17 enodes)
* * [misc]simplify:  iters left: 3 (21 enodes)
* * [misc]simplify:  iters left: 2 (23 enodes)
* [exit]simplify:  Simplified to (expm1 (/ (+ (+ beta alpha) i) (+ (fma i 2 alpha) beta)))
* [exit]simplify:  Simplified to (expm1 (/ (+ (+ beta alpha) i) (+ (fma i 2 alpha) beta)))
* * * * [misc]progress:  [ 96 / 117 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (* (* (expm1 (log1p (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (log1p (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (17 enodes)
* * [misc]simplify:  iters left: 3 (21 enodes)
* * [misc]simplify:  iters left: 2 (23 enodes)
* [exit]simplify:  Simplified to (log1p (/ (+ (+ beta alpha) i) (+ (fma i 2 alpha) beta)))
* [exit]simplify:  Simplified to (log1p (/ (+ (+ beta alpha) i) (+ (fma i 2 alpha) beta)))
* * * * [misc]progress:  [ 97 / 117 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (* (* (pow (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) 1) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* * * * [misc]progress:  [ 98 / 117 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (* (* (exp (- (log (+ (+ beta alpha) i)) (log (+ beta (fma i 2 alpha))))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (- (log (+ (+ beta alpha) i)) (log (+ beta (fma i 2 alpha))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (18 enodes)
* * [misc]simplify:  iters left: 3 (22 enodes)
* * [misc]simplify:  iters left: 2 (24 enodes)
* [exit]simplify:  Simplified to (- (log (+ (+ beta alpha) i)) (log (+ beta (fma i 2 alpha))))
* [exit]simplify:  Simplified to (- (log (+ (+ beta alpha) i)) (log (+ beta (fma i 2 alpha))))
* * * * [misc]progress:  [ 99 / 117 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (* (* (exp (log (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (log (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* * [misc]simplify:  iters left: 3 (24 enodes)
* * [misc]simplify:  iters left: 2 (26 enodes)
* [exit]simplify:  Simplified to (log (/ (+ alpha (+ i beta)) (+ (fma i 2 alpha) beta)))
* [exit]simplify:  Simplified to (log (/ (+ alpha (+ i beta)) (+ (fma i 2 alpha) beta)))
* * * * [misc]progress:  [ 100 / 117 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (* (* (log (exp (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (exp (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (17 enodes)
* * [misc]simplify:  iters left: 3 (21 enodes)
* * [misc]simplify:  iters left: 2 (23 enodes)
* [exit]simplify:  Simplified to (exp (/ (+ (+ beta alpha) i) (+ (fma i 2 alpha) beta)))
* [exit]simplify:  Simplified to (exp (/ (+ (+ beta alpha) i) (+ (fma i 2 alpha) beta)))
* * * * [misc]progress:  [ 101 / 117 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (* (* (cbrt (/ (cube (+ (+ beta alpha) i)) (cube (+ beta (fma i 2 alpha))))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (/ (cube (+ (+ beta alpha) i)) (cube (+ beta (fma i 2 alpha))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* * [misc]simplify:  iters left: 4 (49 enodes)
* * [misc]simplify:  iters left: 3 (186 enodes)
* [exit]simplify:  Simplified to (cube (/ (+ beta (+ alpha i)) (+ beta (fma i 2 alpha))))
* [exit]simplify:  Simplified to (cube (/ (+ beta (+ alpha i)) (+ beta (fma i 2 alpha))))
* * * * [misc]progress:  [ 102 / 117 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (* (* (cube (cbrt (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (cbrt (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (17 enodes)
* * [misc]simplify:  iters left: 3 (21 enodes)
* * [misc]simplify:  iters left: 2 (23 enodes)
* [exit]simplify:  Simplified to (cbrt (/ (+ (+ beta alpha) i) (+ (fma i 2 alpha) beta)))
* [exit]simplify:  Simplified to (cbrt (/ (+ (+ beta alpha) i) (+ (fma i 2 alpha) beta)))
* * * * [misc]progress:  [ 103 / 117 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (* (* (cbrt (cube (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (cube (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* * [misc]simplify:  iters left: 4 (32 enodes)
* * [misc]simplify:  iters left: 3 (82 enodes)
* * [misc]simplify:  iters left: 2 (286 enodes)
* [exit]simplify:  Simplified to (cube (/ (+ alpha (+ i beta)) (+ (fma i 2 alpha) beta)))
* [exit]simplify:  Simplified to (cube (/ (+ alpha (+ i beta)) (+ (fma i 2 alpha) beta)))
* * * * [misc]progress:  [ 104 / 117 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (* (* (cube (/ (cbrt (+ (+ beta alpha) i)) (cbrt (+ beta (fma i 2 alpha))))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (/ (cbrt (+ (+ beta alpha) i)) (cbrt (+ beta (fma i 2 alpha))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (18 enodes)
* * [misc]simplify:  iters left: 3 (22 enodes)
* * [misc]simplify:  iters left: 2 (24 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (+ (+ beta alpha) i)) (cbrt (+ beta (fma i 2 alpha))))
* [exit]simplify:  Simplified to (/ (cbrt (+ (+ beta alpha) i)) (cbrt (+ beta (fma i 2 alpha))))
* * * * [misc]progress:  [ 105 / 117 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (* (* (sqr (sqrt (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (sqrt (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (17 enodes)
* * [misc]simplify:  iters left: 3 (21 enodes)
* * [misc]simplify:  iters left: 2 (23 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (+ (+ beta alpha) i) (+ (fma i 2 alpha) beta)))
* [exit]simplify:  Simplified to (sqrt (/ (+ (+ beta alpha) i) (+ (fma i 2 alpha) beta)))
* * * * [misc]progress:  [ 106 / 117 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (* (* (sqr (/ (sqrt (+ (+ beta alpha) i)) (sqrt (+ beta (fma i 2 alpha))))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (/ (sqrt (+ (+ beta alpha) i)) (sqrt (+ beta (fma i 2 alpha))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (18 enodes)
* * [misc]simplify:  iters left: 3 (22 enodes)
* * [misc]simplify:  iters left: 2 (24 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (+ beta alpha) i)) (sqrt (+ beta (fma i 2 alpha))))
* [exit]simplify:  Simplified to (/ (sqrt (+ (+ beta alpha) i)) (sqrt (+ beta (fma i 2 alpha))))
* * * * [misc]progress:  [ 107 / 117 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (* (* (/ (- (+ (+ beta alpha) i)) (- (+ beta (fma i 2 alpha)))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (- (+ (+ beta alpha) i))
* * [misc]simplify:  iters left: 6 (6 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* * [misc]simplify:  iters left: 3 (31 enodes)
* * [misc]simplify:  iters left: 2 (39 enodes)
* * [misc]simplify:  iters left: 1 (40 enodes)
* [exit]simplify:  Simplified to (- (+ alpha (+ i beta)))
* [exit]simplify:  Simplified to (- (+ alpha (+ i beta)))
* [enter]simplify:  Simplifying (- (+ beta (fma i 2 alpha)))
* * [misc]simplify:  iters left: 5 (7 enodes)
* * [misc]simplify:  iters left: 4 (11 enodes)
* * [misc]simplify:  iters left: 3 (12 enodes)
* [exit]simplify:  Simplified to (- (+ (fma i 2 alpha) beta))
* [exit]simplify:  Simplified to (- (+ (fma i 2 alpha) beta))
* * * * [misc]progress:  [ 108 / 117 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (* (* (* (/ 1 1) (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha)))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (/ 1 1)
* * [misc]simplify:  iters left: 2 (2 enodes)
* * [misc]simplify:  iters left: 1 (4 enodes)
* [exit]simplify:  Simplified to 1
* [exit]simplify:  Simplified to 1
* [enter]simplify:  Simplifying (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha)))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* * [misc]simplify:  iters left: 4 (16 enodes)
* * [misc]simplify:  iters left: 3 (20 enodes)
* * [misc]simplify:  iters left: 2 (22 enodes)
* [exit]simplify:  Simplified to (/ (+ (+ i beta) alpha) (+ (fma i 2 alpha) beta))
* [exit]simplify:  Simplified to (/ (+ (+ i beta) alpha) (+ (fma i 2 alpha) beta))
* * * * [misc]progress:  [ 109 / 117 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (* (* (* 1 (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha)))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* * * * [misc]progress:  [ 110 / 117 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (* (* (* (+ (+ beta alpha) i) (/ 1 (+ beta (fma i 2 alpha)))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (/ 1 (+ beta (fma i 2 alpha)))
* * [misc]simplify:  iters left: 5 (8 enodes)
* * [misc]simplify:  iters left: 4 (11 enodes)
* [exit]simplify:  Simplified to (/ 1 (+ beta (fma i 2 alpha)))
* [exit]simplify:  Simplified to (/ 1 (+ beta (fma i 2 alpha)))
* * * * [misc]progress:  [ 111 / 117 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (* (* (/ 1 (/ (+ beta (fma i 2 alpha)) (+ (+ beta alpha) i))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (/ (+ beta (fma i 2 alpha)) (+ (+ beta alpha) i))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* * [misc]simplify:  iters left: 4 (16 enodes)
* * [misc]simplify:  iters left: 3 (20 enodes)
* * [misc]simplify:  iters left: 2 (22 enodes)
* [exit]simplify:  Simplified to (/ (+ (fma i 2 alpha) beta) (+ alpha (+ beta i)))
* [exit]simplify:  Simplified to (/ (+ (fma i 2 alpha) beta) (+ alpha (+ beta i)))
* * * * [misc]progress:  [ 112 / 117 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (* (* (/ (/ (+ (+ beta alpha) i) 1) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (/ (+ (+ beta alpha) i) 1)
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* * [misc]simplify:  iters left: 4 (15 enodes)
* * [misc]simplify:  iters left: 3 (19 enodes)
* * [misc]simplify:  iters left: 2 (21 enodes)
* [exit]simplify:  Simplified to (/ (+ beta (+ alpha i)) 1)
* [exit]simplify:  Simplified to (/ (+ beta (+ alpha i)) 1)
* * * * [misc]progress:  [ 113 / 117 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (* (* (/ 1 (/ (+ beta (fma i 2 alpha)) (+ (+ beta alpha) i))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (/ (+ beta (fma i 2 alpha)) (+ (+ beta alpha) i))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* * [misc]simplify:  iters left: 4 (16 enodes)
* * [misc]simplify:  iters left: 3 (20 enodes)
* * [misc]simplify:  iters left: 2 (22 enodes)
* [exit]simplify:  Simplified to (/ (+ (fma i 2 alpha) beta) (+ alpha (+ beta i)))
* [exit]simplify:  Simplified to (/ (+ (fma i 2 alpha) beta) (+ alpha (+ beta i)))
* * * * [misc]progress:  [ 114 / 117 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (* (* (* (/ (+ (+ beta alpha) i) (- (pow beta 3) (pow (fma i 2 alpha) 3))) (+ (sqr beta) (- (sqr (fma i 2 alpha)) (* beta (fma i 2 alpha))))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (/ (+ (+ beta alpha) i) (- (pow beta 3) (pow (fma i 2 alpha) 3)))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  iters left: 4 (24 enodes)
* * [misc]simplify:  iters left: 3 (32 enodes)
* * [misc]simplify:  iters left: 2 (34 enodes)
* [exit]simplify:  Simplified to (/ (+ (+ alpha i) beta) (- (cube beta) (cube (fma i 2 alpha))))
* [exit]simplify:  Simplified to (/ (+ (+ alpha i) beta) (- (cube beta) (cube (fma i 2 alpha))))
* * * * [misc]progress:  [ 115 / 117 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (* (* (* (/ (+ (+ beta alpha) i) (- (sqr beta) (sqr (fma i 2 alpha)))) (- beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (/ (+ (+ beta alpha) i) (- (sqr beta) (sqr (fma i 2 alpha))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* * [misc]simplify:  iters left: 4 (26 enodes)
* * [misc]simplify:  iters left: 3 (38 enodes)
* * [misc]simplify:  iters left: 2 (44 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (- beta (fma i 2 alpha)))
* [exit]simplify:  Simplified to (/ (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (- beta (fma i 2 alpha)))
* * * * [misc]progress:  [ 116 / 117 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (* (* (/ (- (pow (+ beta alpha) 3) (pow i 3)) (* (+ beta (fma i 2 alpha)) (+ (sqr (+ beta alpha)) (- (sqr i) (* (+ beta alpha) i))))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (* (+ beta (fma i 2 alpha)) (+ (sqr (+ beta alpha)) (- (sqr i) (* (+ beta alpha) i))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (28 enodes)
* * [misc]simplify:  iters left: 4 (83 enodes)
* * [misc]simplify:  iters left: 3 (270 enodes)
* [exit]simplify:  Simplified to (* (+ (fma i 2 alpha) beta) (fma (- i (+ alpha beta)) i (sqr (+ alpha beta))))
* [exit]simplify:  Simplified to (* (+ (fma i 2 alpha) beta) (fma (- i (+ alpha beta)) i (sqr (+ alpha beta))))
* * * * [misc]progress:  [ 117 / 117 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (* (* (/ (- (sqr (+ beta alpha)) (sqr i)) (* (+ beta (fma i 2 alpha)) (- (+ beta alpha) i))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (* (+ beta (fma i 2 alpha)) (- (+ beta alpha) i))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (29 enodes)
* * [misc]simplify:  iters left: 3 (63 enodes)
* * [misc]simplify:  iters left: 2 (98 enodes)
* * [misc]simplify:  iters left: 1 (119 enodes)
* [exit]simplify:  Simplified to (* (+ beta (- alpha i)) (+ (fma i 2 alpha) beta))
* [exit]simplify:  Simplified to (* (+ beta (- alpha i)) (+ (fma i 2 alpha) beta))
* * * [misc]progress:  adding candidates to table
* * [misc]progress:  iteration 2 / 2
* * * [misc]progress:  picking best candidate
* * * * [misc]pick:  Picked  #<alt-delta (λ (alpha beta i) (/ (* (/ i (+ (fma i 2 alpha) beta)) (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta))) (/ (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) (fma i (+ (+ alpha i) beta) (* alpha beta)))))>
* * * [misc]progress:  localizing error
* * * [misc]progress:  generating series expansions
* * * * [misc]progress:  [ 1 / 4 ] generating series at (2 2)
* [misc]approximate:  Taking taylor expansion of (/ (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) (fma i (+ (+ alpha i) beta) (* alpha beta))) in (i alpha beta) around 0
* [misc]taylor:  Taking taylor expansion of (/ (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) (fma i (+ (+ alpha i) beta) (* alpha beta))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) in beta
* [misc]backup-simplify:  Simplify (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) into (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0))
* [misc]taylor:  Taking taylor expansion of (fma i (+ (+ alpha i) beta) (* alpha beta)) in beta
* [misc]backup-simplify:  Simplify (fma i (+ (+ alpha i) beta) (* alpha beta)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]backup-simplify:  Simplify (/ (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) (fma i (+ beta (+ alpha i)) (* beta alpha))) into (/ (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) (fma i (+ beta (+ alpha i)) (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) (fma i (+ (+ alpha i) beta) (* alpha beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) in alpha
* [misc]backup-simplify:  Simplify (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) into (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0))
* [misc]taylor:  Taking taylor expansion of (fma i (+ (+ alpha i) beta) (* alpha beta)) in alpha
* [misc]backup-simplify:  Simplify (fma i (+ (+ alpha i) beta) (* alpha beta)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]backup-simplify:  Simplify (/ (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) (fma i (+ beta (+ alpha i)) (* beta alpha))) into (/ (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) (fma i (+ beta (+ alpha i)) (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) (fma i (+ (+ alpha i) beta) (* alpha beta))) in i
* [misc]taylor:  Taking taylor expansion of (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) in i
* [misc]backup-simplify:  Simplify (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) into (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0))
* [misc]taylor:  Taking taylor expansion of (fma i (+ (+ alpha i) beta) (* alpha beta)) in i
* [misc]backup-simplify:  Simplify (fma i (+ (+ alpha i) beta) (* alpha beta)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]backup-simplify:  Simplify (/ (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) (fma i (+ beta (+ alpha i)) (* beta alpha))) into (/ (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) (fma i (+ beta (+ alpha i)) (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) (fma i (+ (+ alpha i) beta) (* alpha beta))) in i
* [misc]taylor:  Taking taylor expansion of (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) in i
* [misc]backup-simplify:  Simplify (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) into (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0))
* [misc]taylor:  Taking taylor expansion of (fma i (+ (+ alpha i) beta) (* alpha beta)) in i
* [misc]backup-simplify:  Simplify (fma i (+ (+ alpha i) beta) (* alpha beta)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]backup-simplify:  Simplify (/ (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) (fma i (+ beta (+ alpha i)) (* beta alpha))) into (/ (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) (fma i (+ beta (+ alpha i)) (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) (fma i (+ beta (+ alpha i)) (* beta alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) in alpha
* [misc]backup-simplify:  Simplify (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) into (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0))
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]backup-simplify:  Simplify (/ (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) (fma i (+ beta (+ alpha i)) (* beta alpha))) into (/ (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) (fma i (+ beta (+ alpha i)) (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) (fma i (+ beta (+ alpha i)) (* beta alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) in beta
* [misc]backup-simplify:  Simplify (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) into (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0))
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in beta
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]backup-simplify:  Simplify (/ (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) (fma i (+ beta (+ alpha i)) (* beta alpha))) into (/ (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) (fma i (+ beta (+ alpha i)) (* beta alpha)))
* [misc]backup-simplify:  Simplify (/ (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) (fma i (+ beta (+ alpha i)) (* beta alpha))) into (/ (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) (fma i (+ beta (+ alpha i)) (* beta alpha)))
* [misc]backup-simplify:  Simplify (- (/ 0 (fma i (+ beta (+ alpha i)) (* beta alpha))) (+ (* (/ (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) (fma i (+ beta (+ alpha i)) (* beta alpha))) (/ 0 (fma i (+ beta (+ alpha i)) (* beta alpha)))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (fma i (+ beta (+ alpha i)) (* beta alpha))) (+ (* (/ (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) (fma i (+ beta (+ alpha i)) (* beta alpha))) (/ 0 (fma i (+ beta (+ alpha i)) (* beta alpha)))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (fma i (+ beta (+ alpha i)) (* beta alpha))) (+ (* (/ (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) (fma i (+ beta (+ alpha i)) (* beta alpha))) (/ 0 (fma i (+ beta (+ alpha i)) (* beta alpha)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (fma i (+ beta (+ alpha i)) (* beta alpha))) (+ (* (/ (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) (fma i (+ beta (+ alpha i)) (* beta alpha))) (/ 0 (fma i (+ beta (+ alpha i)) (* beta alpha)))) (* 0 (/ 0 (fma i (+ beta (+ alpha i)) (* beta alpha)))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (fma i (+ beta (+ alpha i)) (* beta alpha))) (+ (* (/ (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) (fma i (+ beta (+ alpha i)) (* beta alpha))) (/ 0 (fma i (+ beta (+ alpha i)) (* beta alpha)))) (* 0 (/ 0 (fma i (+ beta (+ alpha i)) (* beta alpha)))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) (fma i (+ beta (+ alpha i)) (* beta alpha))) into (/ (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) (fma i (+ beta (+ alpha i)) (* beta alpha)))
* [misc]approximate:  Taking taylor expansion of (/ (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (sqr (/ 1 beta)) 1.0)) (fma (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (* (/ 1 alpha) (/ 1 beta)))) in (i alpha beta) around 0
* [misc]taylor:  Taking taylor expansion of (/ (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (sqr (/ 1 beta)) 1.0)) (fma (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (* (/ 1 alpha) (/ 1 beta)))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (sqr (/ 1 beta)) 1.0)) in beta
* [misc]backup-simplify:  Simplify (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (sqr (/ 1 beta)) 1.0)) into (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (* (/ 1 alpha) (/ 1 beta))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (* (/ 1 alpha) (/ 1 beta))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (/ (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha)))) into (/ (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))))
* [misc]taylor:  Taking taylor expansion of (/ (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (sqr (/ 1 beta)) 1.0)) (fma (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (* (/ 1 alpha) (/ 1 beta)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (sqr (/ 1 beta)) 1.0)) in alpha
* [misc]backup-simplify:  Simplify (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (sqr (/ 1 beta)) 1.0)) into (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (* (/ 1 alpha) (/ 1 beta))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (* (/ 1 alpha) (/ 1 beta))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (/ (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha)))) into (/ (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))))
* [misc]taylor:  Taking taylor expansion of (/ (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (sqr (/ 1 beta)) 1.0)) (fma (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (* (/ 1 alpha) (/ 1 beta)))) in i
* [misc]taylor:  Taking taylor expansion of (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (sqr (/ 1 beta)) 1.0)) in i
* [misc]backup-simplify:  Simplify (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (sqr (/ 1 beta)) 1.0)) into (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (* (/ 1 alpha) (/ 1 beta))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (* (/ 1 alpha) (/ 1 beta))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (/ (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha)))) into (/ (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))))
* [misc]taylor:  Taking taylor expansion of (/ (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (sqr (/ 1 beta)) 1.0)) (fma (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (* (/ 1 alpha) (/ 1 beta)))) in i
* [misc]taylor:  Taking taylor expansion of (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (sqr (/ 1 beta)) 1.0)) in i
* [misc]backup-simplify:  Simplify (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (sqr (/ 1 beta)) 1.0)) into (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (* (/ 1 alpha) (/ 1 beta))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (* (/ 1 alpha) (/ 1 beta))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (/ (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha)))) into (/ (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))))
* [misc]taylor:  Taking taylor expansion of (/ (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)) in alpha
* [misc]backup-simplify:  Simplify (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)) into (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (/ (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha)))) into (/ (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))))
* [misc]taylor:  Taking taylor expansion of (/ (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)) in beta
* [misc]backup-simplify:  Simplify (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)) into (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (/ (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha)))) into (/ (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (/ (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha)))) into (/ (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (- (/ 0 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha)))) (+ (* (/ (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha)))) (/ 0 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha)))) (+ (* (/ (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha)))) (/ 0 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha)))) (+ (* (/ (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha)))) (/ 0 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha)))) (+ (* (/ (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha)))) (/ 0 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))))) (* 0 (/ 0 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha)))) (+ (* (/ (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha)))) (/ 0 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))))) (* 0 (/ 0 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha)))) into (/ (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))))
* [misc]approximate:  Taking taylor expansion of (/ (fma (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (fma (/ 1 (- beta)) 2 (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) (- (sqr (/ 1 (- beta))) 1.0)) (fma (/ 1 (- i)) (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) in (i alpha beta) around 0
* [misc]taylor:  Taking taylor expansion of (/ (fma (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (fma (/ 1 (- beta)) 2 (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) (- (sqr (/ 1 (- beta))) 1.0)) (fma (/ 1 (- i)) (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (fma (/ 1 (- beta)) 2 (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) (- (sqr (/ 1 (- beta))) 1.0)) in beta
* [misc]backup-simplify:  Simplify (fma (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (fma (/ 1 (- beta)) 2 (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) (- (sqr (/ 1 (- beta))) 1.0)) into (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 beta) 2 (fma (/ -1 i) 2 (/ -1 alpha))) (- (/ 1 (sqr beta)) 1.0))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (* (/ 1 (- alpha)) (/ 1 (- beta)))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (* (/ 1 (- alpha)) (/ 1 (- beta)))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (/ (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 beta) 2 (fma (/ -1 i) 2 (/ -1 alpha))) (- (/ 1 (sqr beta)) 1.0)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) into (/ (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 beta) 2 (fma (/ -1 i) 2 (/ -1 alpha))) (- (/ 1 (sqr beta)) 1.0)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]taylor:  Taking taylor expansion of (/ (fma (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (fma (/ 1 (- beta)) 2 (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) (- (sqr (/ 1 (- beta))) 1.0)) (fma (/ 1 (- i)) (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (fma (/ 1 (- beta)) 2 (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) (- (sqr (/ 1 (- beta))) 1.0)) in alpha
* [misc]backup-simplify:  Simplify (fma (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (fma (/ 1 (- beta)) 2 (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) (- (sqr (/ 1 (- beta))) 1.0)) into (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 beta) 2 (fma (/ -1 i) 2 (/ -1 alpha))) (- (/ 1 (sqr beta)) 1.0))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (* (/ 1 (- alpha)) (/ 1 (- beta)))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (* (/ 1 (- alpha)) (/ 1 (- beta)))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (/ (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 beta) 2 (fma (/ -1 i) 2 (/ -1 alpha))) (- (/ 1 (sqr beta)) 1.0)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) into (/ (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 beta) 2 (fma (/ -1 i) 2 (/ -1 alpha))) (- (/ 1 (sqr beta)) 1.0)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]taylor:  Taking taylor expansion of (/ (fma (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (fma (/ 1 (- beta)) 2 (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) (- (sqr (/ 1 (- beta))) 1.0)) (fma (/ 1 (- i)) (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) in i
* [misc]taylor:  Taking taylor expansion of (fma (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (fma (/ 1 (- beta)) 2 (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) (- (sqr (/ 1 (- beta))) 1.0)) in i
* [misc]backup-simplify:  Simplify (fma (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (fma (/ 1 (- beta)) 2 (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) (- (sqr (/ 1 (- beta))) 1.0)) into (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 beta) 2 (fma (/ -1 i) 2 (/ -1 alpha))) (- (/ 1 (sqr beta)) 1.0))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (* (/ 1 (- alpha)) (/ 1 (- beta)))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (* (/ 1 (- alpha)) (/ 1 (- beta)))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (/ (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 beta) 2 (fma (/ -1 i) 2 (/ -1 alpha))) (- (/ 1 (sqr beta)) 1.0)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) into (/ (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 beta) 2 (fma (/ -1 i) 2 (/ -1 alpha))) (- (/ 1 (sqr beta)) 1.0)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]taylor:  Taking taylor expansion of (/ (fma (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (fma (/ 1 (- beta)) 2 (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) (- (sqr (/ 1 (- beta))) 1.0)) (fma (/ 1 (- i)) (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) in i
* [misc]taylor:  Taking taylor expansion of (fma (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (fma (/ 1 (- beta)) 2 (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) (- (sqr (/ 1 (- beta))) 1.0)) in i
* [misc]backup-simplify:  Simplify (fma (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (fma (/ 1 (- beta)) 2 (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) (- (sqr (/ 1 (- beta))) 1.0)) into (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 beta) 2 (fma (/ -1 i) 2 (/ -1 alpha))) (- (/ 1 (sqr beta)) 1.0))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (* (/ 1 (- alpha)) (/ 1 (- beta)))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (* (/ 1 (- alpha)) (/ 1 (- beta)))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (/ (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 beta) 2 (fma (/ -1 i) 2 (/ -1 alpha))) (- (/ 1 (sqr beta)) 1.0)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) into (/ (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 beta) 2 (fma (/ -1 i) 2 (/ -1 alpha))) (- (/ 1 (sqr beta)) 1.0)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]taylor:  Taking taylor expansion of (/ (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 beta) 2 (fma (/ -1 i) 2 (/ -1 alpha))) (- (/ 1 (sqr beta)) 1.0)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 beta) 2 (fma (/ -1 i) 2 (/ -1 alpha))) (- (/ 1 (sqr beta)) 1.0)) in alpha
* [misc]backup-simplify:  Simplify (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 beta) 2 (fma (/ -1 i) 2 (/ -1 alpha))) (- (/ 1 (sqr beta)) 1.0)) into (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 beta) 2 (fma (/ -1 i) 2 (/ -1 alpha))) (- (/ 1 (sqr beta)) 1.0))
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (/ (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 beta) 2 (fma (/ -1 i) 2 (/ -1 alpha))) (- (/ 1 (sqr beta)) 1.0)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) into (/ (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 beta) 2 (fma (/ -1 i) 2 (/ -1 alpha))) (- (/ 1 (sqr beta)) 1.0)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]taylor:  Taking taylor expansion of (/ (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 beta) 2 (fma (/ -1 i) 2 (/ -1 alpha))) (- (/ 1 (sqr beta)) 1.0)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 beta) 2 (fma (/ -1 i) 2 (/ -1 alpha))) (- (/ 1 (sqr beta)) 1.0)) in beta
* [misc]backup-simplify:  Simplify (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 beta) 2 (fma (/ -1 i) 2 (/ -1 alpha))) (- (/ 1 (sqr beta)) 1.0)) into (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 beta) 2 (fma (/ -1 i) 2 (/ -1 alpha))) (- (/ 1 (sqr beta)) 1.0))
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in beta
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (/ (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 beta) 2 (fma (/ -1 i) 2 (/ -1 alpha))) (- (/ 1 (sqr beta)) 1.0)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) into (/ (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 beta) 2 (fma (/ -1 i) 2 (/ -1 alpha))) (- (/ 1 (sqr beta)) 1.0)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (/ (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 beta) 2 (fma (/ -1 i) 2 (/ -1 alpha))) (- (/ 1 (sqr beta)) 1.0)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) into (/ (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 beta) 2 (fma (/ -1 i) 2 (/ -1 alpha))) (- (/ 1 (sqr beta)) 1.0)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (- (/ 0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (+ (* (/ (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 beta) 2 (fma (/ -1 i) 2 (/ -1 alpha))) (- (/ 1 (sqr beta)) 1.0)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (/ 0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (+ (* (/ (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 beta) 2 (fma (/ -1 i) 2 (/ -1 alpha))) (- (/ 1 (sqr beta)) 1.0)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (/ 0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (+ (* (/ (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 beta) 2 (fma (/ -1 i) 2 (/ -1 alpha))) (- (/ 1 (sqr beta)) 1.0)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (/ 0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (+ (* (/ (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 beta) 2 (fma (/ -1 i) 2 (/ -1 alpha))) (- (/ 1 (sqr beta)) 1.0)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (/ 0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (* 0 (/ 0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (+ (* (/ (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 beta) 2 (fma (/ -1 i) 2 (/ -1 alpha))) (- (/ 1 (sqr beta)) 1.0)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (/ 0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (* 0 (/ 0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 beta) 2 (fma (/ -1 i) 2 (/ -1 alpha))) (- (/ 1 (sqr beta)) 1.0)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) into (/ (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 beta) 2 (fma (/ -1 i) 2 (/ -1 alpha))) (- (/ 1 (sqr beta)) 1.0)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* * * * [misc]progress:  [ 2 / 4 ] generating series at (2)
* [misc]approximate:  Taking taylor expansion of (/ (* (/ i (+ (fma i 2 alpha) beta)) (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta))) (/ (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) (fma i (+ (+ alpha i) beta) (* alpha beta)))) in (i alpha beta) around 0
* [misc]taylor:  Taking taylor expansion of (/ (* (/ i (+ (fma i 2 alpha) beta)) (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta))) (/ (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) (fma i (+ (+ alpha i) beta) (* alpha beta)))) in beta
* [misc]taylor:  Taking taylor expansion of (* (/ i (+ (fma i 2 alpha) beta)) (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta))) in beta
* [misc]taylor:  Taking taylor expansion of (/ i (+ (fma i 2 alpha) beta)) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (+ (fma i 2 alpha) beta) in beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in beta
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ (fma i 2 alpha) 0) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (/ i (fma i 2 alpha)) into (/ i (fma i 2 alpha))
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ alpha i) beta) in beta
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ (fma i 2 alpha) beta) in beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in beta
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ alpha i) into (+ alpha i)
* [misc]backup-simplify:  Simplify (+ (+ alpha i) 0) into (+ alpha i)
* [misc]backup-simplify:  Simplify (+ (fma i 2 alpha) 0) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (/ (+ alpha i) (fma i 2 alpha)) into (/ (+ alpha i) (fma i 2 alpha))
* [misc]taylor:  Taking taylor expansion of (/ (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) (fma i (+ (+ alpha i) beta) (* alpha beta))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) in beta
* [misc]backup-simplify:  Simplify (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) into (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0))
* [misc]taylor:  Taking taylor expansion of (fma i (+ (+ alpha i) beta) (* alpha beta)) in beta
* [misc]backup-simplify:  Simplify (fma i (+ (+ alpha i) beta) (* alpha beta)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]backup-simplify:  Simplify (/ (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) (fma i (+ beta (+ alpha i)) (* beta alpha))) into (/ (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) (fma i (+ beta (+ alpha i)) (* beta alpha)))
* [misc]backup-simplify:  Simplify (* (/ i (fma i 2 alpha)) (/ (+ alpha i) (fma i 2 alpha))) into (/ (* (+ alpha i) i) (sqr (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (/ (/ (* (+ alpha i) i) (sqr (fma i 2 alpha))) (/ (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) (fma i (+ beta (+ alpha i)) (* beta alpha)))) into (/ (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (* (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) (sqr (fma i 2 alpha))))
* [misc]taylor:  Taking taylor expansion of (/ (* (/ i (+ (fma i 2 alpha) beta)) (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta))) (/ (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) (fma i (+ (+ alpha i) beta) (* alpha beta)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (/ i (+ (fma i 2 alpha) beta)) (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ i (+ (fma i 2 alpha) beta)) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (+ (fma i 2 alpha) beta) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (+ (fma i 2 alpha) beta) into (+ beta (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (/ i (+ beta (fma i 2 alpha))) into (/ i (+ beta (fma i 2 alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ alpha i) beta) in alpha
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (+ (fma i 2 alpha) beta) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (+ 0 i) into i
* [misc]backup-simplify:  Simplify (+ i beta) into (+ beta i)
* [misc]backup-simplify:  Simplify (+ (fma i 2 alpha) beta) into (+ beta (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (/ (+ beta i) (+ beta (fma i 2 alpha))) into (/ (+ beta i) (+ beta (fma i 2 alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) (fma i (+ (+ alpha i) beta) (* alpha beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) in alpha
* [misc]backup-simplify:  Simplify (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) into (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0))
* [misc]taylor:  Taking taylor expansion of (fma i (+ (+ alpha i) beta) (* alpha beta)) in alpha
* [misc]backup-simplify:  Simplify (fma i (+ (+ alpha i) beta) (* alpha beta)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]backup-simplify:  Simplify (/ (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) (fma i (+ beta (+ alpha i)) (* beta alpha))) into (/ (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) (fma i (+ beta (+ alpha i)) (* beta alpha)))
* [misc]backup-simplify:  Simplify (* (/ i (+ beta (fma i 2 alpha))) (/ (+ beta i) (+ beta (fma i 2 alpha)))) into (/ (* i (+ beta i)) (sqr (+ beta (fma i 2 alpha))))
* [misc]backup-simplify:  Simplify (/ (/ (* i (+ beta i)) (sqr (+ beta (fma i 2 alpha)))) (/ (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) (fma i (+ beta (+ alpha i)) (* beta alpha)))) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* i (+ beta i))) (* (sqr (+ beta (fma i 2 alpha))) (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0))))
* [misc]taylor:  Taking taylor expansion of (/ (* (/ i (+ (fma i 2 alpha) beta)) (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta))) (/ (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) (fma i (+ (+ alpha i) beta) (* alpha beta)))) in i
* [misc]taylor:  Taking taylor expansion of (* (/ i (+ (fma i 2 alpha) beta)) (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta))) in i
* [misc]taylor:  Taking taylor expansion of (/ i (+ (fma i 2 alpha) beta)) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ (fma i 2 alpha) beta) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (+ (fma i 2 alpha) beta) into (+ beta (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (/ 1 (+ beta (fma i 2 alpha))) into (/ 1 (+ beta (fma i 2 alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) in i
* [misc]taylor:  Taking taylor expansion of (+ (+ alpha i) beta) in i
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (+ (fma i 2 alpha) beta) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (+ alpha 0) into alpha
* [misc]backup-simplify:  Simplify (+ alpha beta) into (+ beta alpha)
* [misc]backup-simplify:  Simplify (+ (fma i 2 alpha) beta) into (+ beta (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (/ (+ beta alpha) (+ beta (fma i 2 alpha))) into (/ (+ beta alpha) (+ beta (fma i 2 alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) (fma i (+ (+ alpha i) beta) (* alpha beta))) in i
* [misc]taylor:  Taking taylor expansion of (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) in i
* [misc]backup-simplify:  Simplify (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) into (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0))
* [misc]taylor:  Taking taylor expansion of (fma i (+ (+ alpha i) beta) (* alpha beta)) in i
* [misc]backup-simplify:  Simplify (fma i (+ (+ alpha i) beta) (* alpha beta)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]backup-simplify:  Simplify (/ (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) (fma i (+ beta (+ alpha i)) (* beta alpha))) into (/ (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) (fma i (+ beta (+ alpha i)) (* beta alpha)))
* [misc]backup-simplify:  Simplify (* (/ 1 (+ beta (fma i 2 alpha))) (/ (+ beta alpha) (+ beta (fma i 2 alpha)))) into (/ (+ beta alpha) (sqr (+ beta (fma i 2 alpha))))
* [misc]backup-simplify:  Simplify (/ (/ (+ beta alpha) (sqr (+ beta (fma i 2 alpha)))) (/ (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) (fma i (+ beta (+ alpha i)) (* beta alpha)))) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (+ beta alpha)) (* (sqr (+ beta (fma i 2 alpha))) (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0))))
* [misc]taylor:  Taking taylor expansion of (/ (* (/ i (+ (fma i 2 alpha) beta)) (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta))) (/ (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) (fma i (+ (+ alpha i) beta) (* alpha beta)))) in i
* [misc]taylor:  Taking taylor expansion of (* (/ i (+ (fma i 2 alpha) beta)) (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta))) in i
* [misc]taylor:  Taking taylor expansion of (/ i (+ (fma i 2 alpha) beta)) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ (fma i 2 alpha) beta) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (+ (fma i 2 alpha) beta) into (+ beta (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (/ 1 (+ beta (fma i 2 alpha))) into (/ 1 (+ beta (fma i 2 alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) in i
* [misc]taylor:  Taking taylor expansion of (+ (+ alpha i) beta) in i
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (+ (fma i 2 alpha) beta) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (+ alpha 0) into alpha
* [misc]backup-simplify:  Simplify (+ alpha beta) into (+ beta alpha)
* [misc]backup-simplify:  Simplify (+ (fma i 2 alpha) beta) into (+ beta (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (/ (+ beta alpha) (+ beta (fma i 2 alpha))) into (/ (+ beta alpha) (+ beta (fma i 2 alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) (fma i (+ (+ alpha i) beta) (* alpha beta))) in i
* [misc]taylor:  Taking taylor expansion of (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) in i
* [misc]backup-simplify:  Simplify (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) into (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0))
* [misc]taylor:  Taking taylor expansion of (fma i (+ (+ alpha i) beta) (* alpha beta)) in i
* [misc]backup-simplify:  Simplify (fma i (+ (+ alpha i) beta) (* alpha beta)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]backup-simplify:  Simplify (/ (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) (fma i (+ beta (+ alpha i)) (* beta alpha))) into (/ (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) (fma i (+ beta (+ alpha i)) (* beta alpha)))
* [misc]backup-simplify:  Simplify (* (/ 1 (+ beta (fma i 2 alpha))) (/ (+ beta alpha) (+ beta (fma i 2 alpha)))) into (/ (+ beta alpha) (sqr (+ beta (fma i 2 alpha))))
* [misc]backup-simplify:  Simplify (/ (/ (+ beta alpha) (sqr (+ beta (fma i 2 alpha)))) (/ (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) (fma i (+ beta (+ alpha i)) (* beta alpha)))) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (+ beta alpha)) (* (sqr (+ beta (fma i 2 alpha))) (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0))))
* [misc]taylor:  Taking taylor expansion of (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (+ beta alpha)) (* (sqr (+ beta (fma i 2 alpha))) (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (+ beta alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (+ beta alpha) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (sqr (+ beta (fma i 2 alpha))) (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (+ beta (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) in alpha
* [misc]backup-simplify:  Simplify (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) into (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0))
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) beta) into (* (fma i (+ beta (+ alpha i)) (* beta alpha)) beta)
* [misc]backup-simplify:  Simplify (+ beta (fma i 2 alpha)) into (+ beta (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* (+ beta (fma i 2 alpha)) (+ beta (fma i 2 alpha))) into (sqr (+ beta (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (* (sqr (+ beta (fma i 2 alpha))) (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0))) into (* (sqr (+ beta (fma i 2 alpha))) (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)))
* [misc]backup-simplify:  Simplify (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) beta) (* (sqr (+ beta (fma i 2 alpha))) (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)))) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) beta) (* (sqr (+ beta (fma i 2 alpha))) (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0))))
* [misc]taylor:  Taking taylor expansion of (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) beta) (* (sqr (+ beta (fma i 2 alpha))) (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)))) in beta
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) beta) in beta
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in beta
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (sqr (+ beta (fma i 2 alpha))) (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0))) in beta
* [misc]taylor:  Taking taylor expansion of (sqr (+ beta (fma i 2 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in beta
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) in beta
* [misc]backup-simplify:  Simplify (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) into (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0))
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 1) (* 0 0)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]backup-simplify:  Simplify (+ 0 (fma i 2 alpha)) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* (sqr (fma i 2 alpha)) (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0))) into (* (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) (sqr (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) (sqr (fma i 2 alpha)))) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) (sqr (fma i 2 alpha))))
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 1 (+ beta (fma i 2 alpha))) (+ (* (/ (+ beta alpha) (+ beta (fma i 2 alpha))) (/ 0 (+ beta (fma i 2 alpha)))))) into (/ 1 (+ beta (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ beta (fma i 2 alpha))) (+ (* (/ 1 (+ beta (fma i 2 alpha))) (/ 0 (+ beta (fma i 2 alpha)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 (+ beta (fma i 2 alpha))) (/ 1 (+ beta (fma i 2 alpha)))) (* 0 (/ (+ beta alpha) (+ beta (fma i 2 alpha))))) into (/ 1 (sqr (+ beta (fma i 2 alpha))))
* [misc]backup-simplify:  Simplify (- (/ 0 (fma i (+ beta (+ alpha i)) (* beta alpha))) (+ (* (/ (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) (fma i (+ beta (+ alpha i)) (* beta alpha))) (/ 0 (fma i (+ beta (+ alpha i)) (* beta alpha)))))) into 0
* [misc]backup-simplify:  Simplify (- (/ (/ 1 (sqr (+ beta (fma i 2 alpha)))) (/ (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) (fma i (+ beta (+ alpha i)) (* beta alpha)))) (+ (* (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (+ beta alpha)) (* (sqr (+ beta (fma i 2 alpha))) (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)))) (/ 0 (/ (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) (fma i (+ beta (+ alpha i)) (* beta alpha))))))) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr (+ beta (fma i 2 alpha))) (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0))))
* [misc]taylor:  Taking taylor expansion of (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr (+ beta (fma i 2 alpha))) (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (* (sqr (+ beta (fma i 2 alpha))) (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (+ beta (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) in alpha
* [misc]backup-simplify:  Simplify (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) into (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0))
* [misc]backup-simplify:  Simplify (+ beta (fma i 2 alpha)) into (+ beta (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* (+ beta (fma i 2 alpha)) (+ beta (fma i 2 alpha))) into (sqr (+ beta (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (* (sqr (+ beta (fma i 2 alpha))) (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0))) into (* (sqr (+ beta (fma i 2 alpha))) (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)))
* [misc]backup-simplify:  Simplify (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr (+ beta (fma i 2 alpha))) (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)))) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr (+ beta (fma i 2 alpha))) (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0))))
* [misc]taylor:  Taking taylor expansion of (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr (+ beta (fma i 2 alpha))) (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)))) in beta
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in beta
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (* (sqr (+ beta (fma i 2 alpha))) (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0))) in beta
* [misc]taylor:  Taking taylor expansion of (sqr (+ beta (fma i 2 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in beta
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) in beta
* [misc]backup-simplify:  Simplify (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) into (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0))
* [misc]backup-simplify:  Simplify (+ 0 (fma i 2 alpha)) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* (sqr (fma i 2 alpha)) (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0))) into (* (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) (sqr (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) (sqr (fma i 2 alpha)))) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) (sqr (fma i 2 alpha))))
* [misc]backup-simplify:  Simplify (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) (sqr (fma i 2 alpha)))) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) (sqr (fma i 2 alpha))))
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 1) (* 0 beta)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ beta (fma i 2 alpha)) 0) (* 0 (+ beta (fma i 2 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (+ beta (fma i 2 alpha))) 0) (* 0 (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)))) into 0
* [misc]backup-simplify:  Simplify (- (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr (+ beta (fma i 2 alpha))) (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)))) (+ (* (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) beta) (* (sqr (+ beta (fma i 2 alpha))) (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)))) (/ 0 (* (sqr (+ beta (fma i 2 alpha))) (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0))))))) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr (+ beta (fma i 2 alpha))) (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0))))
* [misc]taylor:  Taking taylor expansion of (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr (+ beta (fma i 2 alpha))) (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)))) in beta
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in beta
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (* (sqr (+ beta (fma i 2 alpha))) (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0))) in beta
* [misc]taylor:  Taking taylor expansion of (sqr (+ beta (fma i 2 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in beta
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) in beta
* [misc]backup-simplify:  Simplify (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) into (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0))
* [misc]backup-simplify:  Simplify (+ 0 (fma i 2 alpha)) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* (sqr (fma i 2 alpha)) (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0))) into (* (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) (sqr (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) (sqr (fma i 2 alpha)))) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) (sqr (fma i 2 alpha))))
* [misc]backup-simplify:  Simplify (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) (sqr (fma i 2 alpha)))) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) (sqr (fma i 2 alpha))))
* [misc]backup-simplify:  Simplify (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) (sqr (fma i 2 alpha)))) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) (sqr (fma i 2 alpha))))
* [misc]backup-simplify:  Simplify (+ (* (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) (sqr (fma i 2 alpha)))) (* beta (* 1 i))) (+ (* (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) (sqr (fma i 2 alpha)))) (* 1 (* alpha i))) (* (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) (sqr (fma i 2 alpha)))) (sqr (* 1 (* 1 i)))))) into (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (* (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) (sqr (fma i 2 alpha)))) (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) (sqr (fma i 2 alpha)))) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* beta i)) (* (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) (sqr (fma i 2 alpha))))))
* [misc]approximate:  Taking taylor expansion of (/ (* (/ (/ 1 i) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta))) (/ (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)))) (/ (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (sqr (/ 1 beta)) 1.0)) (fma (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (* (/ 1 alpha) (/ 1 beta))))) in (i alpha beta) around 0
* [misc]taylor:  Taking taylor expansion of (/ (* (/ (/ 1 i) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta))) (/ (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)))) (/ (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (sqr (/ 1 beta)) 1.0)) (fma (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (* (/ 1 alpha) (/ 1 beta))))) in beta
* [misc]taylor:  Taking taylor expansion of (* (/ (/ 1 i) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta))) (/ (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 i) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (/ (/ 1 i) 1) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 alpha) (/ 1 i)) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (sqr (/ 1 beta)) 1.0)) (fma (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (* (/ 1 alpha) (/ 1 beta)))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (sqr (/ 1 beta)) 1.0)) in beta
* [misc]backup-simplify:  Simplify (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (sqr (/ 1 beta)) 1.0)) into (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (* (/ 1 alpha) (/ 1 beta))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (* (/ 1 alpha) (/ 1 beta))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (/ (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha)))) into (/ (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (* (/ 1 i) 1) into (/ 1 i)
* [misc]backup-simplify:  Simplify (/ (/ 1 i) (/ (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))))) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))) (* i (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0))))
* [misc]taylor:  Taking taylor expansion of (/ (* (/ (/ 1 i) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta))) (/ (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)))) (/ (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (sqr (/ 1 beta)) 1.0)) (fma (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (* (/ 1 alpha) (/ 1 beta))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (/ (/ 1 i) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta))) (/ (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 i) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]backup-simplify:  Simplify (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) into (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) into (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 alpha) (/ 1 i)) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) into (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) into (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (/ (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (sqr (/ 1 beta)) 1.0)) (fma (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (* (/ 1 alpha) (/ 1 beta)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (sqr (/ 1 beta)) 1.0)) in alpha
* [misc]backup-simplify:  Simplify (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (sqr (/ 1 beta)) 1.0)) into (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (* (/ 1 alpha) (/ 1 beta))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (* (/ 1 alpha) (/ 1 beta))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (/ (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha)))) into (/ (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (* (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i)) (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) into (/ 1 (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i))
* [misc]backup-simplify:  Simplify (/ (/ 1 (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i)) (/ (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))))) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))) (* (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i)))
* [misc]taylor:  Taking taylor expansion of (/ (* (/ (/ 1 i) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta))) (/ (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)))) (/ (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (sqr (/ 1 beta)) 1.0)) (fma (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (* (/ 1 alpha) (/ 1 beta))))) in i
* [misc]taylor:  Taking taylor expansion of (* (/ (/ 1 i) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta))) (/ (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)))) in i
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 i) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]backup-simplify:  Simplify (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) into (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) into (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta))) in i
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) in i
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 alpha) (/ 1 i)) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) into (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) into (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (/ (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (sqr (/ 1 beta)) 1.0)) (fma (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (* (/ 1 alpha) (/ 1 beta)))) in i
* [misc]taylor:  Taking taylor expansion of (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (sqr (/ 1 beta)) 1.0)) in i
* [misc]backup-simplify:  Simplify (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (sqr (/ 1 beta)) 1.0)) into (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (* (/ 1 alpha) (/ 1 beta))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (* (/ 1 alpha) (/ 1 beta))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (/ (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha)))) into (/ (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (* (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) into (/ 1 (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (/ (/ 1 (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (/ (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))))) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0))))
* [misc]taylor:  Taking taylor expansion of (/ (* (/ (/ 1 i) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta))) (/ (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)))) (/ (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (sqr (/ 1 beta)) 1.0)) (fma (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (* (/ 1 alpha) (/ 1 beta))))) in i
* [misc]taylor:  Taking taylor expansion of (* (/ (/ 1 i) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta))) (/ (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)))) in i
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 i) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]backup-simplify:  Simplify (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) into (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) into (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta))) in i
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) in i
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 alpha) (/ 1 i)) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) into (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) into (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (/ (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (sqr (/ 1 beta)) 1.0)) (fma (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (* (/ 1 alpha) (/ 1 beta)))) in i
* [misc]taylor:  Taking taylor expansion of (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (sqr (/ 1 beta)) 1.0)) in i
* [misc]backup-simplify:  Simplify (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (sqr (/ 1 beta)) 1.0)) into (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (* (/ 1 alpha) (/ 1 beta))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (* (/ 1 alpha) (/ 1 beta))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (/ (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha)))) into (/ (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (* (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) into (/ 1 (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (/ (/ 1 (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (/ (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))))) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0))))
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)) in alpha
* [misc]backup-simplify:  Simplify (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)) into (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0))
* [misc]backup-simplify:  Simplify (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) into (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) into (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0))) into (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)))
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)))) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))) (* (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)) (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (/ 1 alpha) 0) into (/ 1 alpha)
* [misc]backup-simplify:  Simplify (+ (/ 1 alpha) (/ 1 beta)) into (+ (/ 1 beta) (/ 1 alpha))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ (+ (/ 1 beta) (/ 1 alpha)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (+ (* (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (/ 0 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))) into (+ (/ 1 (* beta (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (/ 1 (* alpha (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (+ (* (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (/ 0 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (+ (/ 1 (* beta (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (/ 1 (* alpha (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))) (* 0 (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) into (+ (/ 1 (* beta (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) (/ 1 (* alpha (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))))
* [misc]backup-simplify:  Simplify (- (/ 0 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha)))) (+ (* (/ (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha)))) (/ 0 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))))))) into 0
* [misc]backup-simplify:  Simplify (- (/ (+ (/ 1 (* beta (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) (/ 1 (* alpha (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))) (/ (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))))) (+ (* (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)))) (/ 0 (/ (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha)))))))) into (+ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))) (* beta (* (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)) (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))) (* alpha (* (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)) (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))))
* [misc]taylor:  Taking taylor expansion of (+ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))) (* beta (* (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)) (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))) (* alpha (* (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)) (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))) (* beta (* (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)) (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (* beta (* (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)) (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)) (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)) in alpha
* [misc]backup-simplify:  Simplify (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)) into (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0))
* [misc]taylor:  Taking taylor expansion of (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) into (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) into (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (* (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)) (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) into (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)))
* [misc]backup-simplify:  Simplify (* beta (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)))) into (* beta (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0))))
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))) (* beta (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0))))) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))) (* beta (* (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)) (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))))
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))) (* alpha (* (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)) (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (* alpha (* (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)) (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)) (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)) in alpha
* [misc]backup-simplify:  Simplify (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)) into (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0))
* [misc]taylor:  Taking taylor expansion of (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) into (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) into (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (* (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)) (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) into (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)))
* [misc]backup-simplify:  Simplify (* 0 (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) 0) (* 0 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)) 0) (* 0 (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0))))) into (+ (/ (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)) (sqr beta)) (+ (* (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0))) (* 2 (/ (* (fma (/ 1 i) 2 (/ 1 alpha)) (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0))) beta))))
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))) (+ (/ (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)) (sqr beta)) (+ (* (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0))) (* 2 (/ (* (fma (/ 1 i) 2 (/ 1 alpha)) (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0))) beta))))) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))) (+ (/ (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)) (sqr beta)) (+ (* (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0))) (* 2 (/ (* (fma (/ 1 i) 2 (/ 1 alpha)) (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0))) beta)))))
* [misc]backup-simplify:  Simplify (+ 0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))) (+ (/ (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)) (sqr beta)) (+ (* (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0))) (* 2 (/ (* (fma (/ 1 i) 2 (/ 1 alpha)) (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0))) beta)))))) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))) (+ (/ (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)) (sqr beta)) (+ (* (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0))) (* 2 (/ (* (fma (/ 1 i) 2 (/ 1 alpha)) (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0))) beta)))))
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))) (+ (/ (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)) (sqr beta)) (+ (* (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0))) (* 2 (/ (* (fma (/ 1 i) 2 (/ 1 alpha)) (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0))) beta))))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (+ (/ (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)) (sqr beta)) (+ (* (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0))) (* 2 (/ (* (fma (/ 1 i) 2 (/ 1 alpha)) (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0))) beta)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)) (sqr beta)) in beta
* [misc]taylor:  Taking taylor expansion of (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)) in beta
* [misc]backup-simplify:  Simplify (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)) into (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0))
* [misc]taylor:  Taking taylor expansion of (sqr beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (/ (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)) 1) into (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0))
* [misc]taylor:  Taking taylor expansion of (+ (* (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0))) (* 2 (/ (* (fma (/ 1 i) 2 (/ 1 alpha)) (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0))) beta))) in beta
* [misc]taylor:  Taking taylor expansion of (* (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0))) in beta
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ 1 i) 2 (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)) in beta
* [misc]backup-simplify:  Simplify (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)) into (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0))
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* (fma (/ 1 i) 2 (/ 1 alpha)) (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0))) beta)) in beta
* [misc]taylor:  Taking taylor expansion of 2 in beta
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ 1 i) 2 (/ 1 alpha)) (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0))) beta) in beta
* [misc]taylor:  Taking taylor expansion of (* (fma (/ 1 i) 2 (/ 1 alpha)) (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)) in beta
* [misc]backup-simplify:  Simplify (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)) into (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0))
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) 2 (/ 1 alpha)) (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0))) into (* (fma (/ 1 i) 2 (/ 1 alpha)) (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)))
* [misc]backup-simplify:  Simplify (/ (* (fma (/ 1 i) 2 (/ 1 alpha)) (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0))) 1) into (* (fma (/ 1 i) 2 (/ 1 alpha)) (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)))
* [misc]backup-simplify:  Simplify (+ (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)) 0) into (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0))
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))) (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0))) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))) (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)))
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))) (* (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)) (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (* (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)) (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)) in beta
* [misc]backup-simplify:  Simplify (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)) into (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0))
* [misc]taylor:  Taking taylor expansion of (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)) 1) into (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0))
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))) (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0))) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))) (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (+ (* (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (/ 0 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (* (+ (/ 1 (* beta (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (/ 1 (* alpha (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) (/ 0 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (+ (* (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (/ 0 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (* 0 (/ 0 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 0) (+ (* 0 (+ (/ 1 (* beta (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (/ 1 (* alpha (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))) (* 0 (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha)))) (+ (* (/ (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha)))) (/ 0 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))))) (* 0 (/ 0 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (/ (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))))) (+ (* (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)))) (/ 0 (/ (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha)))))) (* (+ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))) (* beta (* (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)) (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))) (* alpha (* (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)) (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))))) (/ 0 (/ (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha)))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) 0) (+ (* 0 0) (* 0 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)) 0) (+ (* 0 0) (* 0 (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ (/ (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)) (sqr beta)) (+ (* (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0))) (* 2 (/ (* (fma (/ 1 i) 2 (/ 1 alpha)) (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0))) beta))))) (+ (* (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))) (+ (/ (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)) (sqr beta)) (+ (* (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0))) (* 2 (/ (* (fma (/ 1 i) 2 (/ 1 alpha)) (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0))) beta))))) (/ 0 (+ (/ (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)) (sqr beta)) (+ (* (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0))) (* 2 (/ (* (fma (/ 1 i) 2 (/ 1 alpha)) (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0))) beta)))))))) into 0
* [misc]backup-simplify:  Simplify (+ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))) (* beta (* (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)) (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))) 0) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (* beta (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)))))
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (* beta (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0))))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (* beta (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)))) in beta
* [misc]taylor:  Taking taylor expansion of (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (* beta (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0))) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)) in beta
* [misc]backup-simplify:  Simplify (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)) into (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* 0 (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0))) into 0
* [misc]backup-simplify:  Simplify (* 1 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)))) into (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (fma (/ 1 i) 2 (/ 1 alpha))) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (* 1 (fma (/ 1 i) 2 (/ 1 alpha))) (* (fma (/ 1 i) 2 (/ 1 alpha)) 1)) into (* 2 (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (+ (* 1 (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0))) (* (* 2 (fma (/ 1 i) 2 (/ 1 alpha))) 0)) into (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0))
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))) (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0))) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))) (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)))
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))) (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0))) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))) (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) 0) (* 0 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 0) (* 0 (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)))) (+ (* (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))) (* (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)) (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) (/ 0 (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))) (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0))) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))) (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)))
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))) (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0))) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))) (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)))
* [misc]backup-simplify:  Simplify (+ (* (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))) (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0))) (sqr (* (/ 1 beta) (* 1 (/ 1 (/ 1 i)))))) (+ (* (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))) (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0))) (* (sqr (/ 1 beta)) (* (/ 1 (/ 1 alpha)) (/ 1 (/ 1 i))))) (* (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))) (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0))) (* (/ 1 beta) (* 1 (/ 1 (/ 1 i))))))) into (+ (/ (* i (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha)))) (* beta (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)))) (+ (/ (* (sqr i) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha)))) (* (sqr beta) (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)))) (/ (* alpha (* i (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))))) (* (sqr beta) (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0))))))
* [misc]approximate:  Taking taylor expansion of (/ (* (/ (/ 1 (- i)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta)))) (/ (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))))) (/ (fma (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (fma (/ 1 (- beta)) 2 (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) (- (sqr (/ 1 (- beta))) 1.0)) (fma (/ 1 (- i)) (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (* (/ 1 (- alpha)) (/ 1 (- beta)))))) in (i alpha beta) around 0
* [misc]taylor:  Taking taylor expansion of (/ (* (/ (/ 1 (- i)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta)))) (/ (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))))) (/ (fma (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (fma (/ 1 (- beta)) 2 (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) (- (sqr (/ 1 (- beta))) 1.0)) (fma (/ 1 (- i)) (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (* (/ 1 (- alpha)) (/ 1 (- beta)))))) in beta
* [misc]taylor:  Taking taylor expansion of (* (/ (/ 1 (- i)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta)))) (/ (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- i)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in beta
* [misc]taylor:  Taking taylor expansion of (- i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (/ (/ -1 i) -1) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta)))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- alpha)) (/ 1 (- i))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in beta
* [misc]taylor:  Taking taylor expansion of (- i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (/ -1 -1) into 1
* [misc]taylor:  Taking taylor expansion of (/ (fma (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (fma (/ 1 (- beta)) 2 (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) (- (sqr (/ 1 (- beta))) 1.0)) (fma (/ 1 (- i)) (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (fma (/ 1 (- beta)) 2 (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) (- (sqr (/ 1 (- beta))) 1.0)) in beta
* [misc]backup-simplify:  Simplify (fma (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (fma (/ 1 (- beta)) 2 (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) (- (sqr (/ 1 (- beta))) 1.0)) into (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 beta) 2 (fma (/ -1 i) 2 (/ -1 alpha))) (- (/ 1 (sqr beta)) 1.0))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (* (/ 1 (- alpha)) (/ 1 (- beta)))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (* (/ 1 (- alpha)) (/ 1 (- beta)))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (/ (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 beta) 2 (fma (/ -1 i) 2 (/ -1 alpha))) (- (/ 1 (sqr beta)) 1.0)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) into (/ (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 beta) 2 (fma (/ -1 i) 2 (/ -1 alpha))) (- (/ 1 (sqr beta)) 1.0)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (* (/ 1 i) 1) into (/ 1 i)
* [misc]backup-simplify:  Simplify (/ (/ 1 i) (/ (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 beta) 2 (fma (/ -1 i) 2 (/ -1 alpha))) (- (/ 1 (sqr beta)) 1.0)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 beta) 2 (fma (/ -1 i) 2 (/ -1 alpha))) (- (/ 1 (sqr beta)) 1.0)) i))
* [misc]taylor:  Taking taylor expansion of (/ (* (/ (/ 1 (- i)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta)))) (/ (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))))) (/ (fma (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (fma (/ 1 (- beta)) 2 (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) (- (sqr (/ 1 (- beta))) 1.0)) (fma (/ 1 (- i)) (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (* (/ 1 (- alpha)) (/ 1 (- beta)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (/ (/ 1 (- i)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta)))) (/ (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- i)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta)))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in alpha
* [misc]taylor:  Taking taylor expansion of (- i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]backup-simplify:  Simplify (+ (fma (/ -1 i) 2 (/ -1 alpha)) (/ -1 beta)) into (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))
* [misc]backup-simplify:  Simplify (/ (/ -1 i) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) into (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta)))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- alpha)) (/ 1 (- i))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (- alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in alpha
* [misc]taylor:  Taking taylor expansion of (- i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (+ (fma (/ -1 i) 2 (/ -1 alpha)) (/ -1 beta)) into (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))
* [misc]backup-simplify:  Simplify (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) into (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))
* [misc]taylor:  Taking taylor expansion of (/ (fma (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (fma (/ 1 (- beta)) 2 (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) (- (sqr (/ 1 (- beta))) 1.0)) (fma (/ 1 (- i)) (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (fma (/ 1 (- beta)) 2 (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) (- (sqr (/ 1 (- beta))) 1.0)) in alpha
* [misc]backup-simplify:  Simplify (fma (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (fma (/ 1 (- beta)) 2 (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) (- (sqr (/ 1 (- beta))) 1.0)) into (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 beta) 2 (fma (/ -1 i) 2 (/ -1 alpha))) (- (/ 1 (sqr beta)) 1.0))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (* (/ 1 (- alpha)) (/ 1 (- beta)))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (* (/ 1 (- alpha)) (/ 1 (- beta)))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (/ (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 beta) 2 (fma (/ -1 i) 2 (/ -1 alpha))) (- (/ 1 (sqr beta)) 1.0)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) into (/ (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 beta) 2 (fma (/ -1 i) 2 (/ -1 alpha))) (- (/ 1 (sqr beta)) 1.0)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (* (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i)) (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))) into (/ 1 (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) i))
* [misc]backup-simplify:  Simplify (/ (/ 1 (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) i)) (/ (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 beta) 2 (fma (/ -1 i) 2 (/ -1 alpha))) (- (/ 1 (sqr beta)) 1.0)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 beta) 2 (fma (/ -1 i) 2 (/ -1 alpha))) (- (/ 1 (sqr beta)) 1.0)) i)))
* [misc]taylor:  Taking taylor expansion of (/ (* (/ (/ 1 (- i)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta)))) (/ (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))))) (/ (fma (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (fma (/ 1 (- beta)) 2 (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) (- (sqr (/ 1 (- beta))) 1.0)) (fma (/ 1 (- i)) (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (* (/ 1 (- alpha)) (/ 1 (- beta)))))) in i
* [misc]taylor:  Taking taylor expansion of (* (/ (/ 1 (- i)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta)))) (/ (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))))) in i
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- i)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta)))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in i
* [misc]taylor:  Taking taylor expansion of (- i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in i
* [misc]taylor:  Taking taylor expansion of (- beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]backup-simplify:  Simplify (+ (fma (/ -1 i) 2 (/ -1 alpha)) (/ -1 beta)) into (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))
* [misc]backup-simplify:  Simplify (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) into (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta)))) in i
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) in i
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- alpha)) (/ 1 (- i))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in i
* [misc]taylor:  Taking taylor expansion of (- alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in i
* [misc]taylor:  Taking taylor expansion of (- i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in i
* [misc]taylor:  Taking taylor expansion of (- beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in i
* [misc]taylor:  Taking taylor expansion of (- beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (+ (fma (/ -1 i) 2 (/ -1 alpha)) (/ -1 beta)) into (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))
* [misc]backup-simplify:  Simplify (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) into (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))
* [misc]taylor:  Taking taylor expansion of (/ (fma (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (fma (/ 1 (- beta)) 2 (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) (- (sqr (/ 1 (- beta))) 1.0)) (fma (/ 1 (- i)) (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) in i
* [misc]taylor:  Taking taylor expansion of (fma (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (fma (/ 1 (- beta)) 2 (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) (- (sqr (/ 1 (- beta))) 1.0)) in i
* [misc]backup-simplify:  Simplify (fma (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (fma (/ 1 (- beta)) 2 (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) (- (sqr (/ 1 (- beta))) 1.0)) into (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 beta) 2 (fma (/ -1 i) 2 (/ -1 alpha))) (- (/ 1 (sqr beta)) 1.0))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (* (/ 1 (- alpha)) (/ 1 (- beta)))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (* (/ 1 (- alpha)) (/ 1 (- beta)))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (/ (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 beta) 2 (fma (/ -1 i) 2 (/ -1 alpha))) (- (/ 1 (sqr beta)) 1.0)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) into (/ (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 beta) 2 (fma (/ -1 i) 2 (/ -1 alpha))) (- (/ 1 (sqr beta)) 1.0)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (* (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))) into (/ 1 (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))
* [misc]backup-simplify:  Simplify (/ (/ 1 (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))) (/ (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 beta) 2 (fma (/ -1 i) 2 (/ -1 alpha))) (- (/ 1 (sqr beta)) 1.0)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 beta) 2 (fma (/ -1 i) 2 (/ -1 alpha))) (- (/ 1 (sqr beta)) 1.0))))
* [misc]taylor:  Taking taylor expansion of (/ (* (/ (/ 1 (- i)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta)))) (/ (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))))) (/ (fma (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (fma (/ 1 (- beta)) 2 (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) (- (sqr (/ 1 (- beta))) 1.0)) (fma (/ 1 (- i)) (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (* (/ 1 (- alpha)) (/ 1 (- beta)))))) in i
* [misc]taylor:  Taking taylor expansion of (* (/ (/ 1 (- i)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta)))) (/ (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))))) in i
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- i)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta)))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in i
* [misc]taylor:  Taking taylor expansion of (- i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in i
* [misc]taylor:  Taking taylor expansion of (- beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]backup-simplify:  Simplify (+ (fma (/ -1 i) 2 (/ -1 alpha)) (/ -1 beta)) into (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))
* [misc]backup-simplify:  Simplify (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) into (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta)))) in i
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) in i
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- alpha)) (/ 1 (- i))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in i
* [misc]taylor:  Taking taylor expansion of (- alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in i
* [misc]taylor:  Taking taylor expansion of (- i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in i
* [misc]taylor:  Taking taylor expansion of (- beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in i
* [misc]taylor:  Taking taylor expansion of (- beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (+ (fma (/ -1 i) 2 (/ -1 alpha)) (/ -1 beta)) into (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))
* [misc]backup-simplify:  Simplify (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) into (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))
* [misc]taylor:  Taking taylor expansion of (/ (fma (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (fma (/ 1 (- beta)) 2 (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) (- (sqr (/ 1 (- beta))) 1.0)) (fma (/ 1 (- i)) (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) in i
* [misc]taylor:  Taking taylor expansion of (fma (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (fma (/ 1 (- beta)) 2 (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) (- (sqr (/ 1 (- beta))) 1.0)) in i
* [misc]backup-simplify:  Simplify (fma (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (fma (/ 1 (- beta)) 2 (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) (- (sqr (/ 1 (- beta))) 1.0)) into (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 beta) 2 (fma (/ -1 i) 2 (/ -1 alpha))) (- (/ 1 (sqr beta)) 1.0))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (* (/ 1 (- alpha)) (/ 1 (- beta)))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (* (/ 1 (- alpha)) (/ 1 (- beta)))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (/ (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 beta) 2 (fma (/ -1 i) 2 (/ -1 alpha))) (- (/ 1 (sqr beta)) 1.0)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) into (/ (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 beta) 2 (fma (/ -1 i) 2 (/ -1 alpha))) (- (/ 1 (sqr beta)) 1.0)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (* (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))) into (/ 1 (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))
* [misc]backup-simplify:  Simplify (/ (/ 1 (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))) (/ (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 beta) 2 (fma (/ -1 i) 2 (/ -1 alpha))) (- (/ 1 (sqr beta)) 1.0)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 beta) 2 (fma (/ -1 i) 2 (/ -1 alpha))) (- (/ 1 (sqr beta)) 1.0))))
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 beta) 2 (fma (/ -1 i) 2 (/ -1 alpha))) (- (/ 1 (sqr beta)) 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 beta) 2 (fma (/ -1 i) 2 (/ -1 alpha))) (- (/ 1 (sqr beta)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 beta) 2 (fma (/ -1 i) 2 (/ -1 alpha))) (- (/ 1 (sqr beta)) 1.0)) in alpha
* [misc]backup-simplify:  Simplify (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 beta) 2 (fma (/ -1 i) 2 (/ -1 alpha))) (- (/ 1 (sqr beta)) 1.0)) into (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 beta) 2 (fma (/ -1 i) 2 (/ -1 alpha))) (- (/ 1 (sqr beta)) 1.0))
* [misc]backup-simplify:  Simplify (- (/ 1 beta)) into (- (/ 1 beta))
* [misc]backup-simplify:  Simplify (+ (fma (/ -1 i) 2 (/ -1 alpha)) (- (/ 1 beta))) into (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))
* [misc]backup-simplify:  Simplify (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) into (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))
* [misc]backup-simplify:  Simplify (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 beta) 2 (fma (/ -1 i) 2 (/ -1 alpha))) (- (/ 1 (sqr beta)) 1.0))) into (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 beta) 2 (fma (/ -1 i) 2 (/ -1 alpha))) (- (/ 1 (sqr beta)) 1.0)))
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 beta) 2 (fma (/ -1 i) 2 (/ -1 alpha))) (- (/ 1 (sqr beta)) 1.0)))) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 beta) 2 (fma (/ -1 i) 2 (/ -1 alpha))) (- (/ 1 (sqr beta)) 1.0))))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (/ -1 alpha) 0) into (- (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (- (/ 1 alpha)) (/ -1 beta)) into (- (+ (/ 1 beta) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 beta) (/ 0 (- beta))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ (- (+ (/ 1 beta) (/ 1 alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (+ (* (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (/ 0 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))) into (- (+ (/ 1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) alpha)) (/ 1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) beta))))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 beta) (/ 0 (- beta))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (+ (* (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (/ 0 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (- (+ (/ 1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) alpha)) (/ 1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) beta))))) (* 0 (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) into (+ (/ 1 (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) alpha)) (/ 1 (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) beta)))
* [misc]backup-simplify:  Simplify (- (/ 0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (+ (* (/ (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 beta) 2 (fma (/ -1 i) 2 (/ -1 alpha))) (- (/ 1 (sqr beta)) 1.0)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (/ 0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))))) into 0
* [misc]backup-simplify:  Simplify (- (/ (+ (/ 1 (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) alpha)) (/ 1 (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) beta))) (/ (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 beta) 2 (fma (/ -1 i) 2 (/ -1 alpha))) (- (/ 1 (sqr beta)) 1.0)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (+ (* (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 beta) 2 (fma (/ -1 i) 2 (/ -1 alpha))) (- (/ 1 (sqr beta)) 1.0)))) (/ 0 (/ (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 beta) 2 (fma (/ -1 i) 2 (/ -1 alpha))) (- (/ 1 (sqr beta)) 1.0)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))))) into (+ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* alpha (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 beta) 2 (fma (/ -1 i) 2 (/ -1 alpha))) (- (/ 1 (sqr beta)) 1.0))))) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* beta (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 beta) 2 (fma (/ -1 i) 2 (/ -1 alpha))) (- (/ 1 (sqr beta)) 1.0))))))
* [misc]taylor:  Taking taylor expansion of (+ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* alpha (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 beta) 2 (fma (/ -1 i) 2 (/ -1 alpha))) (- (/ 1 (sqr beta)) 1.0))))) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* beta (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 beta) 2 (fma (/ -1 i) 2 (/ -1 alpha))) (- (/ 1 (sqr beta)) 1.0)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* alpha (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 beta) 2 (fma (/ -1 i) 2 (/ -1 alpha))) (- (/ 1 (sqr beta)) 1.0))))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* alpha (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 beta) 2 (fma (/ -1 i) 2 (/ -1 alpha))) (- (/ 1 (sqr beta)) 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (* alpha (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 beta) 2 (fma (/ -1 i) 2 (/ -1 alpha))) (- (/ 1 (sqr beta)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 beta) 2 (fma (/ -1 i) 2 (/ -1 alpha))) (- (/ 1 (sqr beta)) 1.0)) in alpha
* [misc]backup-simplify:  Simplify (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 beta) 2 (fma (/ -1 i) 2 (/ -1 alpha))) (- (/ 1 (sqr beta)) 1.0)) into (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 beta) 2 (fma (/ -1 i) 2 (/ -1 alpha))) (- (/ 1 (sqr beta)) 1.0))
* [misc]backup-simplify:  Simplify (- (/ 1 beta)) into (- (/ 1 beta))
* [misc]backup-simplify:  Simplify (+ (fma (/ -1 i) 2 (/ -1 alpha)) (- (/ 1 beta))) into (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))
* [misc]backup-simplify:  Simplify (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) into (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))
* [misc]backup-simplify:  Simplify (* 0 (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 beta) 2 (fma (/ -1 i) 2 (/ -1 alpha))) (- (/ 1 (sqr beta)) 1.0))) into 0
* [misc]backup-simplify:  Simplify (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 beta) 2 (fma (/ -1 i) 2 (/ -1 alpha))) (- (/ 1 (sqr beta)) 1.0)))) into (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 beta) 2 (fma (/ -1 i) 2 (/ -1 alpha))) (- (/ 1 (sqr beta)) 1.0))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) 0) (* 0 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 beta) 2 (fma (/ -1 i) 2 (/ -1 alpha))) (- (/ 1 (sqr beta)) 1.0))) (* 0 0)) into (- (+ (/ (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 beta) 2 (fma (/ -1 i) 2 (/ -1 alpha))) (- (/ 1 (sqr beta)) 1.0)) (sqr beta)) (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 beta) 2 (fma (/ -1 i) 2 (/ -1 alpha))) (- (/ 1 (sqr beta)) 1.0)))) (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 beta) 2 (fma (/ -1 i) 2 (/ -1 alpha))) (- (/ 1 (sqr beta)) 1.0))) beta)))
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (- (+ (/ (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 beta) 2 (fma (/ -1 i) 2 (/ -1 alpha))) (- (/ 1 (sqr beta)) 1.0)) (sqr beta)) (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 beta) 2 (fma (/ -1 i) 2 (/ -1 alpha))) (- (/ 1 (sqr beta)) 1.0)))) (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 beta) 2 (fma (/ -1 i) 2 (/ -1 alpha))) (- (/ 1 (sqr beta)) 1.0))) beta)))) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (- (+ (/ (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 beta) 2 (fma (/ -1 i) 2 (/ -1 alpha))) (- (/ 1 (sqr beta)) 1.0)) (sqr beta)) (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 beta) 2 (fma (/ -1 i) 2 (/ -1 alpha))) (- (/ 1 (sqr beta)) 1.0)))) (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 beta) 2 (fma (/ -1 i) 2 (/ -1 alpha))) (- (/ 1 (sqr beta)) 1.0))) beta))))
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* beta (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 beta) 2 (fma (/ -1 i) 2 (/ -1 alpha))) (- (/ 1 (sqr beta)) 1.0))))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* beta (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 beta) 2 (fma (/ -1 i) 2 (/ -1 alpha))) (- (/ 1 (sqr beta)) 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (* beta (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 beta) 2 (fma (/ -1 i) 2 (/ -1 alpha))) (- (/ 1 (sqr beta)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 beta) 2 (fma (/ -1 i) 2 (/ -1 alpha))) (- (/ 1 (sqr beta)) 1.0)) in alpha
* [misc]backup-simplify:  Simplify (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 beta) 2 (fma (/ -1 i) 2 (/ -1 alpha))) (- (/ 1 (sqr beta)) 1.0)) into (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 beta) 2 (fma (/ -1 i) 2 (/ -1 alpha))) (- (/ 1 (sqr beta)) 1.0))
* [misc]backup-simplify:  Simplify (- (/ 1 beta)) into (- (/ 1 beta))
* [misc]backup-simplify:  Simplify (+ (fma (/ -1 i) 2 (/ -1 alpha)) (- (/ 1 beta))) into (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))
* [misc]backup-simplify:  Simplify (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) into (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))
* [misc]backup-simplify:  Simplify (* beta (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 beta) 2 (fma (/ -1 i) 2 (/ -1 alpha))) (- (/ 1 (sqr beta)) 1.0))) into (* beta (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 beta) 2 (fma (/ -1 i) 2 (/ -1 alpha))) (- (/ 1 (sqr beta)) 1.0)))
* [misc]backup-simplify:  Simplify (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* beta (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 beta) 2 (fma (/ -1 i) 2 (/ -1 alpha))) (- (/ 1 (sqr beta)) 1.0)))) into (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* beta (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 beta) 2 (fma (/ -1 i) 2 (/ -1 alpha))) (- (/ 1 (sqr beta)) 1.0))))
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* beta (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 beta) 2 (fma (/ -1 i) 2 (/ -1 alpha))) (- (/ 1 (sqr beta)) 1.0))))) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* beta (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 beta) 2 (fma (/ -1 i) 2 (/ -1 alpha))) (- (/ 1 (sqr beta)) 1.0)))))
* [misc]backup-simplify:  Simplify (+ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (- (+ (/ (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 beta) 2 (fma (/ -1 i) 2 (/ -1 alpha))) (- (/ 1 (sqr beta)) 1.0)) (sqr beta)) (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 beta) 2 (fma (/ -1 i) 2 (/ -1 alpha))) (- (/ 1 (sqr beta)) 1.0)))) (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 beta) 2 (fma (/ -1 i) 2 (/ -1 alpha))) (- (/ 1 (sqr beta)) 1.0))) beta)))) 0) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (- (+ (/ (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 beta) 2 (fma (/ -1 i) 2 (/ -1 alpha))) (- (/ 1 (sqr beta)) 1.0)) (sqr beta)) (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 beta) 2 (fma (/ -1 i) 2 (/ -1 alpha))) (- (/ 1 (sqr beta)) 1.0)))) (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 beta) 2 (fma (/ -1 i) 2 (/ -1 alpha))) (- (/ 1 (sqr beta)) 1.0))) beta))))
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (- (+ (/ (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 beta) 2 (fma (/ -1 i) 2 (/ -1 alpha))) (- (/ 1 (sqr beta)) 1.0)) (sqr beta)) (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 beta) 2 (fma (/ -1 i) 2 (/ -1 alpha))) (- (/ 1 (sqr beta)) 1.0)))) (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 beta) 2 (fma (/ -1 i) 2 (/ -1 alpha))) (- (/ 1 (sqr beta)) 1.0))) beta)))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in beta
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (- (+ (/ (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 beta) 2 (fma (/ -1 i) 2 (/ -1 alpha))) (- (/ 1 (sqr beta)) 1.0)) (sqr beta)) (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 beta) 2 (fma (/ -1 i) 2 (/ -1 alpha))) (- (/ 1 (sqr beta)) 1.0)))) (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 beta) 2 (fma (/ -1 i) 2 (/ -1 alpha))) (- (/ 1 (sqr beta)) 1.0))) beta))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 beta) 2 (fma (/ -1 i) 2 (/ -1 alpha))) (- (/ 1 (sqr beta)) 1.0)) (sqr beta)) (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 beta) 2 (fma (/ -1 i) 2 (/ -1 alpha))) (- (/ 1 (sqr beta)) 1.0)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 beta) 2 (fma (/ -1 i) 2 (/ -1 alpha))) (- (/ 1 (sqr beta)) 1.0)) (sqr beta)) in beta
* [misc]taylor:  Taking taylor expansion of (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 beta) 2 (fma (/ -1 i) 2 (/ -1 alpha))) (- (/ 1 (sqr beta)) 1.0)) in beta
* [misc]backup-simplify:  Simplify (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 beta) 2 (fma (/ -1 i) 2 (/ -1 alpha))) (- (/ 1 (sqr beta)) 1.0)) into (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 beta) 2 (fma (/ -1 i) 2 (/ -1 alpha))) (- (/ 1 (sqr beta)) 1.0))
* [misc]taylor:  Taking taylor expansion of (sqr beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (/ (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 beta) 2 (fma (/ -1 i) 2 (/ -1 alpha))) (- (/ 1 (sqr beta)) 1.0)) 1) into (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 beta) 2 (fma (/ -1 i) 2 (/ -1 alpha))) (- (/ 1 (sqr beta)) 1.0))
* [misc]taylor:  Taking taylor expansion of (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 beta) 2 (fma (/ -1 i) 2 (/ -1 alpha))) (- (/ 1 (sqr beta)) 1.0))) in beta
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ -1 i) 2 (/ -1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in beta
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 beta) 2 (fma (/ -1 i) 2 (/ -1 alpha))) (- (/ 1 (sqr beta)) 1.0)) in beta
* [misc]backup-simplify:  Simplify (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 beta) 2 (fma (/ -1 i) 2 (/ -1 alpha))) (- (/ 1 (sqr beta)) 1.0)) into (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 beta) 2 (fma (/ -1 i) 2 (/ -1 alpha))) (- (/ 1 (sqr beta)) 1.0))
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 beta) 2 (fma (/ -1 i) 2 (/ -1 alpha))) (- (/ 1 (sqr beta)) 1.0))) beta)) in beta
* [misc]taylor:  Taking taylor expansion of 2 in beta
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 beta) 2 (fma (/ -1 i) 2 (/ -1 alpha))) (- (/ 1 (sqr beta)) 1.0))) beta) in beta
* [misc]taylor:  Taking taylor expansion of (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 beta) 2 (fma (/ -1 i) 2 (/ -1 alpha))) (- (/ 1 (sqr beta)) 1.0))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in beta
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 beta) 2 (fma (/ -1 i) 2 (/ -1 alpha))) (- (/ 1 (sqr beta)) 1.0)) in beta
* [misc]backup-simplify:  Simplify (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 beta) 2 (fma (/ -1 i) 2 (/ -1 alpha))) (- (/ 1 (sqr beta)) 1.0)) into (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 beta) 2 (fma (/ -1 i) 2 (/ -1 alpha))) (- (/ 1 (sqr beta)) 1.0))
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 beta) 2 (fma (/ -1 i) 2 (/ -1 alpha))) (- (/ 1 (sqr beta)) 1.0))) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 beta) 2 (fma (/ -1 i) 2 (/ -1 alpha))) (- (/ 1 (sqr beta)) 1.0)))
* [misc]backup-simplify:  Simplify (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 beta) 2 (fma (/ -1 i) 2 (/ -1 alpha))) (- (/ 1 (sqr beta)) 1.0))) 1) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 beta) 2 (fma (/ -1 i) 2 (/ -1 alpha))) (- (/ 1 (sqr beta)) 1.0)))
* [misc]backup-simplify:  Simplify (+ (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 beta) 2 (fma (/ -1 i) 2 (/ -1 alpha))) (- (/ 1 (sqr beta)) 1.0)) 0) into (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 beta) 2 (fma (/ -1 i) 2 (/ -1 alpha))) (- (/ 1 (sqr beta)) 1.0))
* [misc]backup-simplify:  Simplify (+ (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 beta) 2 (fma (/ -1 i) 2 (/ -1 alpha))) (- (/ 1 (sqr beta)) 1.0)) 0) into (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 beta) 2 (fma (/ -1 i) 2 (/ -1 alpha))) (- (/ 1 (sqr beta)) 1.0))
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 beta) 2 (fma (/ -1 i) 2 (/ -1 alpha))) (- (/ 1 (sqr beta)) 1.0))) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 beta) 2 (fma (/ -1 i) 2 (/ -1 alpha))) (- (/ 1 (sqr beta)) 1.0)))
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 beta) 2 (fma (/ -1 i) 2 (/ -1 alpha))) (- (/ 1 (sqr beta)) 1.0)))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) in beta
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 beta) 2 (fma (/ -1 i) 2 (/ -1 alpha))) (- (/ 1 (sqr beta)) 1.0))) in beta
* [misc]taylor:  Taking taylor expansion of (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) in beta
* [misc]taylor:  Taking taylor expansion of (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in beta
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 beta) 2 (fma (/ -1 i) 2 (/ -1 alpha))) (- (/ 1 (sqr beta)) 1.0)) in beta
* [misc]backup-simplify:  Simplify (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 beta) 2 (fma (/ -1 i) 2 (/ -1 alpha))) (- (/ 1 (sqr beta)) 1.0)) into (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 beta) 2 (fma (/ -1 i) 2 (/ -1 alpha))) (- (/ 1 (sqr beta)) 1.0))
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (* 1 (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 beta) 2 (fma (/ -1 i) 2 (/ -1 alpha))) (- (/ 1 (sqr beta)) 1.0))) into (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 beta) 2 (fma (/ -1 i) 2 (/ -1 alpha))) (- (/ 1 (sqr beta)) 1.0))
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 beta) 2 (fma (/ -1 i) 2 (/ -1 alpha))) (- (/ 1 (sqr beta)) 1.0))) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 beta) 2 (fma (/ -1 i) 2 (/ -1 alpha))) (- (/ 1 (sqr beta)) 1.0)))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 alpha) (/ 0 (- alpha))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 beta) (/ 0 (- beta))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 beta) (/ 0 (- beta))) (* 0 (/ 0 (- beta))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (+ (* (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (/ 0 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))) (* (- (+ (/ 1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) alpha)) (/ 1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) beta)))) (/ 0 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 beta) (/ 0 (- beta))) (* 0 (/ 0 (- beta))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (+ (* (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (/ 0 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))) (* 0 (/ 0 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) 0) (+ (* 0 (- (+ (/ 1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) alpha)) (/ 1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) beta))))) (* 0 (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (+ (* (/ (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 beta) 2 (fma (/ -1 i) 2 (/ -1 alpha))) (- (/ 1 (sqr beta)) 1.0)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (/ 0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (* 0 (/ 0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (/ (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 beta) 2 (fma (/ -1 i) 2 (/ -1 alpha))) (- (/ 1 (sqr beta)) 1.0)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (+ (* (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 beta) 2 (fma (/ -1 i) 2 (/ -1 alpha))) (- (/ 1 (sqr beta)) 1.0)))) (/ 0 (/ (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 beta) 2 (fma (/ -1 i) 2 (/ -1 alpha))) (- (/ 1 (sqr beta)) 1.0)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) (* (+ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* alpha (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 beta) 2 (fma (/ -1 i) 2 (/ -1 alpha))) (- (/ 1 (sqr beta)) 1.0))))) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* beta (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 beta) 2 (fma (/ -1 i) 2 (/ -1 alpha))) (- (/ 1 (sqr beta)) 1.0)))))) (/ 0 (/ (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 beta) 2 (fma (/ -1 i) 2 (/ -1 alpha))) (- (/ 1 (sqr beta)) 1.0)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 beta) 2 (fma (/ -1 i) 2 (/ -1 alpha))) (- (/ 1 (sqr beta)) 1.0))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) 0) (+ (* 0 0) (* 0 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) 0) (+ (* 0 (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 beta) 2 (fma (/ -1 i) 2 (/ -1 alpha))) (- (/ 1 (sqr beta)) 1.0))) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (- (+ (/ (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 beta) 2 (fma (/ -1 i) 2 (/ -1 alpha))) (- (/ 1 (sqr beta)) 1.0)) (sqr beta)) (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 beta) 2 (fma (/ -1 i) 2 (/ -1 alpha))) (- (/ 1 (sqr beta)) 1.0)))) (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 beta) 2 (fma (/ -1 i) 2 (/ -1 alpha))) (- (/ 1 (sqr beta)) 1.0))) beta)))) (+ (* (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (- (+ (/ (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 beta) 2 (fma (/ -1 i) 2 (/ -1 alpha))) (- (/ 1 (sqr beta)) 1.0)) (sqr beta)) (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 beta) 2 (fma (/ -1 i) 2 (/ -1 alpha))) (- (/ 1 (sqr beta)) 1.0)))) (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 beta) 2 (fma (/ -1 i) 2 (/ -1 alpha))) (- (/ 1 (sqr beta)) 1.0))) beta)))) (/ 0 (- (+ (/ (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 beta) 2 (fma (/ -1 i) 2 (/ -1 alpha))) (- (/ 1 (sqr beta)) 1.0)) (sqr beta)) (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 beta) 2 (fma (/ -1 i) 2 (/ -1 alpha))) (- (/ 1 (sqr beta)) 1.0)))) (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 beta) 2 (fma (/ -1 i) 2 (/ -1 alpha))) (- (/ 1 (sqr beta)) 1.0))) beta))))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* beta (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 beta) 2 (fma (/ -1 i) 2 (/ -1 alpha))) (- (/ 1 (sqr beta)) 1.0)))))) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* beta (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 beta) 2 (fma (/ -1 i) 2 (/ -1 alpha))) (- (/ 1 (sqr beta)) 1.0)))))
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* beta (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 beta) 2 (fma (/ -1 i) 2 (/ -1 alpha))) (- (/ 1 (sqr beta)) 1.0))))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in beta
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* beta (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 beta) 2 (fma (/ -1 i) 2 (/ -1 alpha))) (- (/ 1 (sqr beta)) 1.0)))) in beta
* [misc]taylor:  Taking taylor expansion of (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) in beta
* [misc]taylor:  Taking taylor expansion of (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in beta
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (* beta (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 beta) 2 (fma (/ -1 i) 2 (/ -1 alpha))) (- (/ 1 (sqr beta)) 1.0))) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 beta) 2 (fma (/ -1 i) 2 (/ -1 alpha))) (- (/ 1 (sqr beta)) 1.0)) in beta
* [misc]backup-simplify:  Simplify (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 beta) 2 (fma (/ -1 i) 2 (/ -1 alpha))) (- (/ 1 (sqr beta)) 1.0)) into (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 beta) 2 (fma (/ -1 i) 2 (/ -1 alpha))) (- (/ 1 (sqr beta)) 1.0))
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (* 0 (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 beta) 2 (fma (/ -1 i) 2 (/ -1 alpha))) (- (/ 1 (sqr beta)) 1.0))) into 0
* [misc]backup-simplify:  Simplify (* 1 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 beta) 2 (fma (/ -1 i) 2 (/ -1 alpha))) (- (/ 1 (sqr beta)) 1.0)))) into (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 beta) 2 (fma (/ -1 i) 2 (/ -1 alpha))) (- (/ 1 (sqr beta)) 1.0))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (fma (/ -1 i) 2 (/ -1 alpha)) 0) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (+ (* -1 (fma (/ -1 i) 2 (/ -1 alpha))) (* (fma (/ -1 i) 2 (/ -1 alpha)) -1)) into (- (* 2 (fma (/ -1 i) 2 (/ -1 alpha))))
* [misc]backup-simplify:  Simplify (+ (* 1 (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 beta) 2 (fma (/ -1 i) 2 (/ -1 alpha))) (- (/ 1 (sqr beta)) 1.0))) (* (- (* 2 (fma (/ -1 i) 2 (/ -1 alpha)))) 0)) into (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 beta) 2 (fma (/ -1 i) 2 (/ -1 alpha))) (- (/ 1 (sqr beta)) 1.0))
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 beta) 2 (fma (/ -1 i) 2 (/ -1 alpha))) (- (/ 1 (sqr beta)) 1.0))) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 beta) 2 (fma (/ -1 i) 2 (/ -1 alpha))) (- (/ 1 (sqr beta)) 1.0)))
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 beta) 2 (fma (/ -1 i) 2 (/ -1 alpha))) (- (/ 1 (sqr beta)) 1.0))) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 beta) 2 (fma (/ -1 i) 2 (/ -1 alpha))) (- (/ 1 (sqr beta)) 1.0)))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) 0) (* 0 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) 0) (* 0 (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 beta) 2 (fma (/ -1 i) 2 (/ -1 alpha))) (- (/ 1 (sqr beta)) 1.0)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 beta) 2 (fma (/ -1 i) 2 (/ -1 alpha))) (- (/ 1 (sqr beta)) 1.0)))) (+ (* (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 beta) 2 (fma (/ -1 i) 2 (/ -1 alpha))) (- (/ 1 (sqr beta)) 1.0)))) (/ 0 (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 beta) 2 (fma (/ -1 i) 2 (/ -1 alpha))) (- (/ 1 (sqr beta)) 1.0))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 beta) 2 (fma (/ -1 i) 2 (/ -1 alpha))) (- (/ 1 (sqr beta)) 1.0))) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 beta) 2 (fma (/ -1 i) 2 (/ -1 alpha))) (- (/ 1 (sqr beta)) 1.0)))
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 beta) 2 (fma (/ -1 i) 2 (/ -1 alpha))) (- (/ 1 (sqr beta)) 1.0))) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 beta) 2 (fma (/ -1 i) 2 (/ -1 alpha))) (- (/ 1 (sqr beta)) 1.0)))
* [misc]backup-simplify:  Simplify (+ (* (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 beta) 2 (fma (/ -1 i) 2 (/ -1 alpha))) (- (/ 1 (sqr beta)) 1.0))) (sqr (* (/ 1 (- beta)) (* 1 (/ 1 (/ 1 (- i))))))) (+ (* (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 beta) 2 (fma (/ -1 i) 2 (/ -1 alpha))) (- (/ 1 (sqr beta)) 1.0))) (* (sqr (/ 1 (- beta))) (* (/ 1 (/ 1 (- alpha))) (/ 1 (/ 1 (- i)))))) (* (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 beta) 2 (fma (/ -1 i) 2 (/ -1 alpha))) (- (/ 1 (sqr beta)) 1.0))) (* (/ 1 (- beta)) (* 1 (/ 1 (/ 1 (- i)))))))) into (+ (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i)) (* (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 beta) 2 (fma (/ -1 i) 2 (/ -1 alpha))) (- (/ 1 (sqr beta)) 1.0)) (sqr beta))) (+ (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* alpha i)) (* (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 beta) 2 (fma (/ -1 i) 2 (/ -1 alpha))) (- (/ 1 (sqr beta)) 1.0)) (sqr beta))) (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i) (* (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 beta) 2 (fma (/ -1 i) 2 (/ -1 alpha))) (- (/ 1 (sqr beta)) 1.0)) beta))))
* * * * [misc]progress:  [ 3 / 4 ] generating series at (2 1 2)
* [misc]approximate:  Taking taylor expansion of (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) in (alpha i beta) around 0
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ alpha i) beta) in beta
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ (fma i 2 alpha) beta) in beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in beta
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ alpha i) into (+ alpha i)
* [misc]backup-simplify:  Simplify (+ (+ alpha i) 0) into (+ alpha i)
* [misc]backup-simplify:  Simplify (+ (fma i 2 alpha) 0) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (/ (+ alpha i) (fma i 2 alpha)) into (/ (+ alpha i) (fma i 2 alpha))
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) in i
* [misc]taylor:  Taking taylor expansion of (+ (+ alpha i) beta) in i
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (+ (fma i 2 alpha) beta) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (+ alpha 0) into alpha
* [misc]backup-simplify:  Simplify (+ alpha beta) into (+ beta alpha)
* [misc]backup-simplify:  Simplify (+ (fma i 2 alpha) beta) into (+ beta (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (/ (+ beta alpha) (+ beta (fma i 2 alpha))) into (/ (+ beta alpha) (+ beta (fma i 2 alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ alpha i) beta) in alpha
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (+ (fma i 2 alpha) beta) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (+ 0 i) into i
* [misc]backup-simplify:  Simplify (+ i beta) into (+ beta i)
* [misc]backup-simplify:  Simplify (+ (fma i 2 alpha) beta) into (+ beta (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (/ (+ beta i) (+ beta (fma i 2 alpha))) into (/ (+ beta i) (+ beta (fma i 2 alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ alpha i) beta) in alpha
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (+ (fma i 2 alpha) beta) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (+ 0 i) into i
* [misc]backup-simplify:  Simplify (+ i beta) into (+ beta i)
* [misc]backup-simplify:  Simplify (+ (fma i 2 alpha) beta) into (+ beta (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (/ (+ beta i) (+ beta (fma i 2 alpha))) into (/ (+ beta i) (+ beta (fma i 2 alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (+ beta i) (+ beta (fma i 2 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (+ beta (fma i 2 alpha)) into (+ beta (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (/ beta (+ beta (fma i 2 alpha))) into (/ beta (+ beta (fma i 2 alpha)))
* [misc]taylor:  Taking taylor expansion of (/ beta (+ beta (fma i 2 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in beta
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ 0 (fma i 2 alpha)) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (/ 1 (fma i 2 alpha)) into (/ 1 (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 1 (+ beta (fma i 2 alpha))) (+ (* (/ (+ beta i) (+ beta (fma i 2 alpha))) (/ 0 (+ beta (fma i 2 alpha)))))) into (/ 1 (+ beta (fma i 2 alpha)))
* [misc]taylor:  Taking taylor expansion of (/ 1 (+ beta (fma i 2 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ beta (fma i 2 alpha)) into (+ beta (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (/ 1 (+ beta (fma i 2 alpha))) into (/ 1 (+ beta (fma i 2 alpha)))
* [misc]taylor:  Taking taylor expansion of (/ 1 (+ beta (fma i 2 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in beta
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ 0 (fma i 2 alpha)) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (/ 1 (fma i 2 alpha)) into (/ 1 (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (/ 1 (fma i 2 alpha)) into (/ 1 (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 1 (+ beta (fma i 2 alpha))) (+ (* (/ beta (+ beta (fma i 2 alpha))) (/ 0 (+ beta (fma i 2 alpha)))))) into (/ 1 (+ beta (fma i 2 alpha)))
* [misc]taylor:  Taking taylor expansion of (/ 1 (+ beta (fma i 2 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in beta
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ 0 (fma i 2 alpha)) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (/ 1 (fma i 2 alpha)) into (/ 1 (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (/ 1 (fma i 2 alpha)) into (/ 1 (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (/ 1 (fma i 2 alpha)) into (/ 1 (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (+ (* (/ 1 (fma i 2 alpha)) (* beta (* 1 1))) (+ (* (/ 1 (fma i 2 alpha)) (* 1 (* i 1))) (* (/ 1 (fma i 2 alpha)) (* 1 (* 1 alpha))))) into (+ (/ i (fma i 2 alpha)) (+ (/ beta (fma i 2 alpha)) (/ alpha (fma i 2 alpha))))
* [misc]approximate:  Taking taylor expansion of (/ (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta))) in (alpha i beta) around 0
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 alpha) (/ 1 i)) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta))) in i
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) in i
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 alpha) (/ 1 i)) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) into (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) into (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 alpha) (/ 1 i)) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) into (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) into (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 alpha) (/ 1 i)) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) into (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) into (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) into (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) into (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 i)) into (/ 1 i)
* [misc]backup-simplify:  Simplify (+ (/ 1 i) (/ 1 beta)) into (+ (/ 1 beta) (/ 1 i))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ (+ (/ 1 beta) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (+ (* (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (/ 0 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))) into (+ (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i)) (/ 1 (* beta (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i)) (/ 1 (* beta (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i)) in i
* [misc]taylor:  Taking taylor expansion of (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i) in i
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) into (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) 1) (* 0 0)) into (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) into (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (/ 1 (* beta (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (* beta (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) into (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* beta (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) into (* beta (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (/ 1 (* beta (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) into (/ 1 (* beta (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (+ (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 0) into (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (+ (* (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (/ 0 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (* (+ (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i)) (/ 1 (* beta (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) (/ 0 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) 0) (+ (* 0 1) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (/ 0 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 (* beta (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) into (/ 1 (* beta (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))
* [misc]taylor:  Taking taylor expansion of (/ 1 (* beta (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (* beta (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (* 0 1) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (fma (/ 1 i) 2 (/ 1 alpha))) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (* 0 (fma (/ 1 i) 2 (/ 1 alpha))) (* 1 1)) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (/ 0 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ (* 1 (* (/ 1 beta) (* 1 (/ 1 (/ 1 alpha))))) (+ (* 1 (* (/ 1 beta) (* (/ 1 (/ 1 i)) 1))) 1)) into (+ 1 (+ (/ alpha beta) (/ i beta)))
* [misc]approximate:  Taking taylor expansion of (/ (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta)))) in (alpha i beta) around 0
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta)))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- alpha)) (/ 1 (- i))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in beta
* [misc]taylor:  Taking taylor expansion of (- i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (/ -1 -1) into 1
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta)))) in i
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) in i
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- alpha)) (/ 1 (- i))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in i
* [misc]taylor:  Taking taylor expansion of (- alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in i
* [misc]taylor:  Taking taylor expansion of (- i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in i
* [misc]taylor:  Taking taylor expansion of (- beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in i
* [misc]taylor:  Taking taylor expansion of (- beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (+ (fma (/ -1 i) 2 (/ -1 alpha)) (/ -1 beta)) into (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))
* [misc]backup-simplify:  Simplify (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) into (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta)))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- alpha)) (/ 1 (- i))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (- alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in alpha
* [misc]taylor:  Taking taylor expansion of (- i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (+ (fma (/ -1 i) 2 (/ -1 alpha)) (/ -1 beta)) into (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))
* [misc]backup-simplify:  Simplify (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) into (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta)))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- alpha)) (/ 1 (- i))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (- alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in alpha
* [misc]taylor:  Taking taylor expansion of (- i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (+ (fma (/ -1 i) 2 (/ -1 alpha)) (/ -1 beta)) into (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))
* [misc]backup-simplify:  Simplify (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) into (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))
* [misc]taylor:  Taking taylor expansion of (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) in i
* [misc]taylor:  Taking taylor expansion of -1 in i
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]taylor:  Taking taylor expansion of (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]backup-simplify:  Simplify (- (/ 1 beta)) into (- (/ 1 beta))
* [misc]backup-simplify:  Simplify (+ (fma (/ -1 i) 2 (/ -1 alpha)) (- (/ 1 beta))) into (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))
* [misc]backup-simplify:  Simplify (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) into (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (/ -1 i)) into (- (/ 1 i))
* [misc]backup-simplify:  Simplify (+ (- (/ 1 i)) (/ -1 beta)) into (- (+ (/ 1 beta) (/ 1 i)))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 beta) (/ 0 (- beta))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ (- (+ (/ 1 beta) (/ 1 i))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (+ (* (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (/ 0 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))) into (- (+ (/ 1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i)) (/ 1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) beta))))
* [misc]taylor:  Taking taylor expansion of (- (+ (/ 1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i)) (/ 1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) beta)))) in i
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i)) (/ 1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) beta))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i)) in i
* [misc]taylor:  Taking taylor expansion of (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i) in i
* [misc]taylor:  Taking taylor expansion of (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- (/ 1 beta)) into (- (/ 1 beta))
* [misc]backup-simplify:  Simplify (+ (fma (/ -1 i) 2 (/ -1 alpha)) (- (/ 1 beta))) into (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))
* [misc]backup-simplify:  Simplify (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) 1) (* 0 0)) into (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))
* [misc]backup-simplify:  Simplify (/ 1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) into (/ 1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) beta)) in i
* [misc]taylor:  Taking taylor expansion of (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) beta) in i
* [misc]taylor:  Taking taylor expansion of (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- (/ 1 beta)) into (- (/ 1 beta))
* [misc]backup-simplify:  Simplify (+ (fma (/ -1 i) 2 (/ -1 alpha)) (- (/ 1 beta))) into (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))
* [misc]backup-simplify:  Simplify (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) beta) into (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) beta)
* [misc]backup-simplify:  Simplify (/ 1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) beta)) into (/ 1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) beta))
* [misc]backup-simplify:  Simplify (+ (/ 1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) 0) into (/ 1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))
* [misc]backup-simplify:  Simplify (- (/ 1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))) into (- (/ 1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))
* [misc]taylor:  Taking taylor expansion of (- (/ 1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) in beta
* [misc]taylor:  Taking taylor expansion of (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in beta
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) in beta
* [misc]taylor:  Taking taylor expansion of -1 in beta
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]taylor:  Taking taylor expansion of (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in beta
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (/ -1 -1) into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 i) (/ 0 (- i))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 beta) (/ 0 (- beta))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 beta) (/ 0 (- beta))) (* 0 (/ 0 (- beta))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (+ (* (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (/ 0 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))) (* (- (+ (/ 1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i)) (/ 1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) beta)))) (/ 0 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) 0) (+ (* 0 1) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (/ 0 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) beta))) into (/ 1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) beta))
* [misc]backup-simplify:  Simplify (- (/ 1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) beta))) into (- (/ 1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) beta)))
* [misc]taylor:  Taking taylor expansion of (- (/ 1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) beta))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) beta)) in beta
* [misc]taylor:  Taking taylor expansion of (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) beta) in beta
* [misc]taylor:  Taking taylor expansion of (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in beta
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (* -1 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (fma (/ -1 i) 2 (/ -1 alpha)) 0) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (+ (* -1 1) (* (fma (/ -1 i) 2 (/ -1 alpha)) 0)) into (- 1)
* [misc]backup-simplify:  Simplify (/ 1 (- 1)) into -1
* [misc]backup-simplify:  Simplify (- -1) into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (+ (* (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (/ 0 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- -1) into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ (* 1 (* (/ 1 (- beta)) (* 1 (/ 1 (/ 1 (- alpha)))))) (+ (* 1 (* (/ 1 (- beta)) (* (/ 1 (/ 1 (- i))) 1))) 1)) into (+ 1 (+ (/ alpha beta) (/ i beta)))
* * * * [misc]progress:  [ 4 / 4 ] generating series at (2 1 1)
* [misc]approximate:  Taking taylor expansion of (/ i (+ (fma i 2 alpha) beta)) in (i alpha beta) around 0
* [misc]taylor:  Taking taylor expansion of (/ i (+ (fma i 2 alpha) beta)) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (+ (fma i 2 alpha) beta) in beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in beta
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ (fma i 2 alpha) 0) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (/ i (fma i 2 alpha)) into (/ i (fma i 2 alpha))
* [misc]taylor:  Taking taylor expansion of (/ i (+ (fma i 2 alpha) beta)) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (+ (fma i 2 alpha) beta) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (+ (fma i 2 alpha) beta) into (+ beta (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (/ i (+ beta (fma i 2 alpha))) into (/ i (+ beta (fma i 2 alpha)))
* [misc]taylor:  Taking taylor expansion of (/ i (+ (fma i 2 alpha) beta)) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ (fma i 2 alpha) beta) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (+ (fma i 2 alpha) beta) into (+ beta (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (/ 1 (+ beta (fma i 2 alpha))) into (/ 1 (+ beta (fma i 2 alpha)))
* [misc]taylor:  Taking taylor expansion of (/ i (+ (fma i 2 alpha) beta)) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ (fma i 2 alpha) beta) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (+ (fma i 2 alpha) beta) into (+ beta (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (/ 1 (+ beta (fma i 2 alpha))) into (/ 1 (+ beta (fma i 2 alpha)))
* [misc]taylor:  Taking taylor expansion of (/ 1 (+ beta (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ beta (fma i 2 alpha)) into (+ beta (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (/ 1 (+ beta (fma i 2 alpha))) into (/ 1 (+ beta (fma i 2 alpha)))
* [misc]taylor:  Taking taylor expansion of (/ 1 (+ beta (fma i 2 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in beta
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ 0 (fma i 2 alpha)) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (/ 1 (fma i 2 alpha)) into (/ 1 (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (/ 1 (fma i 2 alpha)) into (/ 1 (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ beta (fma i 2 alpha))) (+ (* (/ 1 (+ beta (fma i 2 alpha))) (/ 0 (+ beta (fma i 2 alpha)))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (+ beta (fma i 2 alpha))) (/ 0 (+ beta (fma i 2 alpha)))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (fma i 2 alpha)) (/ 1 (fma i 2 alpha))))) into (- (/ 1 (sqr (fma i 2 alpha))))
* [misc]backup-simplify:  Simplify (- (/ 1 (sqr (fma i 2 alpha)))) into (- (/ 1 (sqr (fma i 2 alpha))))
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ beta (fma i 2 alpha))) (+ (* (/ 1 (+ beta (fma i 2 alpha))) (/ 0 (+ beta (fma i 2 alpha)))) (* 0 (/ 0 (+ beta (fma i 2 alpha)))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (+ beta (fma i 2 alpha))) (/ 0 (+ beta (fma i 2 alpha)))) (* 0 (/ 0 (+ beta (fma i 2 alpha)))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (fma i 2 alpha)) (/ 0 (fma i 2 alpha))) (* (- (/ 1 (sqr (fma i 2 alpha)))) (/ 1 (fma i 2 alpha))))) into (/ 1 (pow (fma i 2 alpha) 3))
* [misc]backup-simplify:  Simplify (/ 1 (pow (fma i 2 alpha) 3)) into (/ 1 (pow (fma i 2 alpha) 3))
* [misc]backup-simplify:  Simplify (+ (* (/ 1 (pow (fma i 2 alpha) 3)) (* (sqr beta) (* 1 i))) (+ (* (- (/ 1 (sqr (fma i 2 alpha)))) (* beta (* 1 i))) (* (/ 1 (fma i 2 alpha)) (* 1 (* 1 i))))) into (- (+ (/ i (fma i 2 alpha)) (/ (* (sqr beta) i) (pow (fma i 2 alpha) 3))) (/ (* beta i) (sqr (fma i 2 alpha))))
* [misc]approximate:  Taking taylor expansion of (/ (/ 1 i) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta))) in (i alpha beta) around 0
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 i) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (/ (/ 1 i) 1) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 i) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]backup-simplify:  Simplify (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) into (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) into (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 i) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]backup-simplify:  Simplify (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) into (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) into (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 i) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]backup-simplify:  Simplify (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) into (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) into (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) into (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) into (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (+ (* (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (/ 0 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (/ 0 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (fma (/ 1 i) 2 (/ 1 alpha))) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ (fma (/ 1 i) 2 (/ 1 alpha)) 1)))) into (- (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (- (fma (/ 1 i) 2 (/ 1 alpha))) into (- (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (+ (* (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (/ 0 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (* 0 (/ 0 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (/ 0 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (* 0 (/ 0 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* (- (fma (/ 1 i) 2 (/ 1 alpha))) (/ (fma (/ 1 i) 2 (/ 1 alpha)) 1)))) into (sqr (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (sqr (fma (/ 1 i) 2 (/ 1 alpha))) into (sqr (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (+ (* (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* (pow (/ 1 beta) 3) (* 1 (/ 1 (/ 1 i))))) (+ (* (- (fma (/ 1 i) 2 (/ 1 alpha))) (* (sqr (/ 1 beta)) (* 1 (/ 1 (/ 1 i))))) (* 1 (* (/ 1 beta) (* 1 (/ 1 (/ 1 i))))))) into (- (+ (/ (* (sqr (fma (/ 1 i) 2 (/ 1 alpha))) i) (pow beta 3)) (/ i beta)) (/ (* (fma (/ 1 i) 2 (/ 1 alpha)) i) (sqr beta)))
* [misc]approximate:  Taking taylor expansion of (/ (/ 1 (- i)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta)))) in (i alpha beta) around 0
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- i)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in beta
* [misc]taylor:  Taking taylor expansion of (- i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (/ (/ -1 i) -1) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- i)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta)))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in alpha
* [misc]taylor:  Taking taylor expansion of (- i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]backup-simplify:  Simplify (+ (fma (/ -1 i) 2 (/ -1 alpha)) (/ -1 beta)) into (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))
* [misc]backup-simplify:  Simplify (/ (/ -1 i) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) into (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- i)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta)))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in i
* [misc]taylor:  Taking taylor expansion of (- i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in i
* [misc]taylor:  Taking taylor expansion of (- beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]backup-simplify:  Simplify (+ (fma (/ -1 i) 2 (/ -1 alpha)) (/ -1 beta)) into (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))
* [misc]backup-simplify:  Simplify (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) into (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- i)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta)))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in i
* [misc]taylor:  Taking taylor expansion of (- i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in i
* [misc]taylor:  Taking taylor expansion of (- beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]backup-simplify:  Simplify (+ (fma (/ -1 i) 2 (/ -1 alpha)) (/ -1 beta)) into (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))
* [misc]backup-simplify:  Simplify (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) into (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))
* [misc]taylor:  Taking taylor expansion of (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) in alpha
* [misc]taylor:  Taking taylor expansion of -1 in alpha
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]taylor:  Taking taylor expansion of (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]backup-simplify:  Simplify (- (/ 1 beta)) into (- (/ 1 beta))
* [misc]backup-simplify:  Simplify (+ (fma (/ -1 i) 2 (/ -1 alpha)) (- (/ 1 beta))) into (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))
* [misc]backup-simplify:  Simplify (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) into (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))
* [misc]taylor:  Taking taylor expansion of (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) in beta
* [misc]taylor:  Taking taylor expansion of -1 in beta
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]taylor:  Taking taylor expansion of (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in beta
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (/ -1 -1) into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 beta) (/ 0 (- beta))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (+ (* (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (/ 0 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (+ (* (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (/ 0 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (fma (/ -1 i) 2 (/ -1 alpha)) 0) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (- (/ 0 -1) (+ (* 1 (/ (fma (/ -1 i) 2 (/ -1 alpha)) -1)))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 beta) (/ 0 (- beta))) (* 0 (/ 0 (- beta))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (+ (* (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (/ 0 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))) (* 0 (/ 0 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (+ (* (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (/ 0 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))) (* 0 (/ 0 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 -1) (+ (* 1 (/ 0 -1)) (* (fma (/ -1 i) 2 (/ -1 alpha)) (/ (fma (/ -1 i) 2 (/ -1 alpha)) -1)))) into (sqr (fma (/ -1 i) 2 (/ -1 alpha)))
* [misc]backup-simplify:  Simplify (sqr (fma (/ -1 i) 2 (/ -1 alpha))) into (sqr (fma (/ -1 i) 2 (/ -1 alpha)))
* [misc]backup-simplify:  Simplify (+ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (* (pow (/ 1 (- beta)) 3) (* 1 (/ 1 (/ 1 (- i)))))) (+ (* (fma (/ -1 i) 2 (/ -1 alpha)) (* (sqr (/ 1 (- beta))) (* 1 (/ 1 (/ 1 (- i)))))) (* 1 (* (/ 1 (- beta)) (* 1 (/ 1 (/ 1 (- i)))))))) into (- (+ (/ i beta) (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) i) (pow beta 3))) (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) i) (sqr beta)))
* * * [misc]progress:  generating rewritten candidates
* * * * [misc]progress:  [ 1 / 4 ] rewriting at (2 2)
* * * * [misc]progress:  [ 2 / 4 ] rewriting at (2)
* * * * [misc]progress:  [ 3 / 4 ] rewriting at (2 1 2)
* * * * [misc]progress:  [ 4 / 4 ] rewriting at (2 1 1)
* * * [misc]progress:  simplifying candidates
* * * * [misc]progress:  [ 1 / 116 ] simplifiying candidate #<alt-event (λ (alpha beta i) (/ (* (/ i (+ (fma i 2 alpha) beta)) (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta))) (/ (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) (fma i (+ beta (+ alpha i)) (* beta alpha)))))>
* [enter]simplify:  Simplifying (/ (* (/ i (+ (fma i 2 alpha) beta)) (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta))) (/ (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) (fma i (+ beta (+ alpha i)) (* beta alpha))))
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (65 enodes)
* * [misc]simplify:  iters left: 3 (152 enodes)
* * [misc]simplify:  iters left: 2 (305 enodes)
* [exit]simplify:  Simplified to (/ (* (fma i (+ (+ beta alpha) i) (* beta alpha)) (/ i (+ beta (fma i 2 alpha)))) (/ (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (* beta beta) 1.0)) (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha)))))
* * * * [misc]progress:  [ 2 / 116 ] simplifiying candidate #<alt-event (λ (alpha beta i) (/ (* (/ i (+ (fma i 2 alpha) beta)) (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta))) (/ (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))))))>
* [enter]simplify:  Simplifying (/ (* (/ i (+ (fma i 2 alpha) beta)) (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta))) (/ (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha)))))
* * [misc]simplify:  iters left: 6 (29 enodes)
* * [misc]simplify:  iters left: 5 (48 enodes)
* * [misc]simplify:  iters left: 4 (81 enodes)
* * [misc]simplify:  iters left: 3 (166 enodes)
* * [misc]simplify:  iters left: 2 (327 enodes)
* [exit]simplify:  Simplified to (/ (* (/ i (+ beta (fma i 2 alpha))) (/ (+ alpha (+ beta i)) (+ beta (fma i 2 alpha)))) (/ (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ (/ 1 beta) beta) 1.0)) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 i)) (/ 1 alpha)) (/ (/ 1 beta) alpha))))
* * * * [misc]progress:  [ 3 / 116 ] simplifiying candidate #<alt-event (λ (alpha beta i) (/ (* (/ i (+ (fma i 2 alpha) beta)) (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta))) (/ (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 beta) 2 (fma (/ -1 i) 2 (/ -1 alpha))) (- (/ 1 (sqr beta)) 1.0)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))>
* [enter]simplify:  Simplifying (/ (* (/ i (+ (fma i 2 alpha) beta)) (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta))) (/ (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 beta) 2 (fma (/ -1 i) 2 (/ -1 alpha))) (- (/ 1 (sqr beta)) 1.0)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))
* * [misc]simplify:  iters left: 6 (34 enodes)
* * [misc]simplify:  iters left: 5 (56 enodes)
* * [misc]simplify:  iters left: 4 (96 enodes)
* * [misc]simplify:  iters left: 3 (197 enodes)
* * [misc]simplify:  iters left: 2 (377 enodes)
* [exit]simplify:  Simplified to (* (fma (/ -1 i) (- (+ (+ (/ 1 i) (/ 1 alpha)) (/ 1 beta))) (/ (/ 1 beta) alpha)) (/ (* (/ i (+ beta (fma i 2 alpha))) (/ (+ i (+ beta alpha)) (+ beta (fma i 2 alpha)))) (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 beta) 2 (fma (/ -1 i) 2 (/ -1 alpha))) (- (/ 1 (* beta beta)) 1.0))))
* * * * [misc]progress:  [ 4 / 116 ] simplifiying candidate #<alt-event (λ (alpha beta i) (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (* (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) (sqr (fma i 2 alpha)))) (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) (sqr (fma i 2 alpha)))) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* beta i)) (* (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) (sqr (fma i 2 alpha)))))))>
* [enter]simplify:  Simplifying (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (* (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) (sqr (fma i 2 alpha)))) (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) (sqr (fma i 2 alpha)))) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* beta i)) (* (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) (sqr (fma i 2 alpha))))))
* * [misc]simplify:  iters left: 6 (27 enodes)
* * [misc]simplify:  iters left: 5 (60 enodes)
* * [misc]simplify:  iters left: 4 (138 enodes)
* * [misc]simplify:  iters left: 3 (305 enodes)
* [exit]simplify:  Simplified to (fma (* (/ beta (fma i 2 alpha)) (/ (fma i (+ beta (+ i alpha)) (* beta alpha)) (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (* beta beta) 1.0)))) (/ i (fma i 2 alpha)) (* (/ (fma i (+ beta (+ i alpha)) (* beta alpha)) (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (* beta beta) 1.0))) (* (/ i (fma i 2 alpha)) (+ (/ alpha (fma i 2 alpha)) (/ i (fma i 2 alpha))))))
* * * * [misc]progress:  [ 5 / 116 ] simplifiying candidate #<alt-event (λ (alpha beta i) (+ (/ (* i (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha)))) (* beta (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)))) (+ (/ (* (sqr i) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha)))) (* (sqr beta) (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)))) (/ (* alpha (* i (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))))) (* (sqr beta) (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)))))))>
* [enter]simplify:  Simplifying (+ (/ (* i (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha)))) (* beta (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)))) (+ (/ (* (sqr i) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha)))) (* (sqr beta) (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)))) (/ (* alpha (* i (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))))) (* (sqr beta) (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0))))))
* * [misc]simplify:  iters left: 6 (31 enodes)
* * [misc]simplify:  iters left: 5 (67 enodes)
* * [misc]simplify:  iters left: 4 (135 enodes)
* * [misc]simplify:  iters left: 3 (286 enodes)
* [exit]simplify:  Simplified to (* (/ (fma (/ 1 i) (+ (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (* beta beta)) 1.0))) (+ (/ i beta) (* (/ i beta) (+ (/ alpha beta) (/ i beta)))))
* * * * [misc]progress:  [ 6 / 116 ] simplifiying candidate #<alt-event (λ (alpha beta i) (+ (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i)) (* (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 beta) 2 (fma (/ -1 i) 2 (/ -1 alpha))) (- (/ 1 (sqr beta)) 1.0)) (sqr beta))) (+ (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* alpha i)) (* (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 beta) 2 (fma (/ -1 i) 2 (/ -1 alpha))) (- (/ 1 (sqr beta)) 1.0)) (sqr beta))) (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i) (* (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 beta) 2 (fma (/ -1 i) 2 (/ -1 alpha))) (- (/ 1 (sqr beta)) 1.0)) beta)))))>
* [enter]simplify:  Simplifying (+ (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i)) (* (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 beta) 2 (fma (/ -1 i) 2 (/ -1 alpha))) (- (/ 1 (sqr beta)) 1.0)) (sqr beta))) (+ (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* alpha i)) (* (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 beta) 2 (fma (/ -1 i) 2 (/ -1 alpha))) (- (/ 1 (sqr beta)) 1.0)) (sqr beta))) (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i) (* (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 beta) 2 (fma (/ -1 i) 2 (/ -1 alpha))) (- (/ 1 (sqr beta)) 1.0)) beta))))
* * [misc]simplify:  iters left: 6 (41 enodes)
* * [misc]simplify:  iters left: 5 (84 enodes)
* * [misc]simplify:  iters left: 4 (162 enodes)
* * [misc]simplify:  iters left: 3 (300 enodes)
* [exit]simplify:  Simplified to (* (fma (/ i beta) (/ i beta) (fma (/ alpha beta) (/ i beta) (/ i beta))) (/ (fma (/ -1 i) (+ (/ (- 1) beta) (+ (/ (- 1) i) (/ (- 1) alpha))) (/ 1 (* beta alpha))) (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 beta) 2 (fma (/ -1 i) 2 (/ -1 alpha))) (- (/ (/ 1 beta) beta) 1.0))))
* * * * [misc]progress:  [ 7 / 116 ] simplifiying candidate #<alt-event (λ (alpha beta i) (/ (* (/ i (+ (fma i 2 alpha) beta)) (+ (/ i (fma i 2 alpha)) (+ (/ beta (fma i 2 alpha)) (/ alpha (fma i 2 alpha))))) (/ (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) (fma i (+ (+ alpha i) beta) (* alpha beta)))))>
* [enter]simplify:  Simplifying (/ (* (/ i (+ (fma i 2 alpha) beta)) (+ (/ i (fma i 2 alpha)) (+ (/ beta (fma i 2 alpha)) (/ alpha (fma i 2 alpha))))) (/ (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) (fma i (+ (+ alpha i) beta) (* alpha beta))))
* * [misc]simplify:  iters left: 6 (24 enodes)
* * [misc]simplify:  iters left: 5 (44 enodes)
* * [misc]simplify:  iters left: 4 (92 enodes)
* * [misc]simplify:  iters left: 3 (189 enodes)
* * [misc]simplify:  iters left: 2 (397 enodes)
* [exit]simplify:  Simplified to (/ (fma (+ (/ beta (fma i 2 alpha)) (/ i (fma i 2 alpha))) (/ i (+ beta (fma i 2 alpha))) (/ (/ (* alpha i) (fma i 2 alpha)) (+ beta (fma i 2 alpha)))) (/ (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (* beta beta) 1.0)) (fma i (+ alpha (+ beta i)) (* beta alpha))))
* * * * [misc]progress:  [ 8 / 116 ] simplifiying candidate #<alt-event (λ (alpha beta i) (/ (* (/ i (+ (fma i 2 alpha) beta)) (+ 1 (+ (/ alpha beta) (/ i beta)))) (/ (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) (fma i (+ (+ alpha i) beta) (* alpha beta)))))>
* [enter]simplify:  Simplifying (/ (* (/ i (+ (fma i 2 alpha) beta)) (+ 1 (+ (/ alpha beta) (/ i beta)))) (/ (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) (fma i (+ (+ alpha i) beta) (* alpha beta))))
* * [misc]simplify:  iters left: 6 (24 enodes)
* * [misc]simplify:  iters left: 5 (46 enodes)
* * [misc]simplify:  iters left: 4 (103 enodes)
* * [misc]simplify:  iters left: 3 (188 enodes)
* * [misc]simplify:  iters left: 2 (343 enodes)
* [exit]simplify:  Simplified to (* (/ (fma i (+ (/ i beta) (/ alpha beta)) i) (+ beta (fma i 2 alpha))) (/ (fma i (+ (+ beta i) alpha) (* beta alpha)) (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (* beta beta) 1.0))))
* * * * [misc]progress:  [ 9 / 116 ] simplifiying candidate #<alt-event (λ (alpha beta i) (/ (* (/ i (+ (fma i 2 alpha) beta)) (+ 1 (+ (/ alpha beta) (/ i beta)))) (/ (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) (fma i (+ (+ alpha i) beta) (* alpha beta)))))>
* [enter]simplify:  Simplifying (/ (* (/ i (+ (fma i 2 alpha) beta)) (+ 1 (+ (/ alpha beta) (/ i beta)))) (/ (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) (fma i (+ (+ alpha i) beta) (* alpha beta))))
* * [misc]simplify:  iters left: 6 (24 enodes)
* * [misc]simplify:  iters left: 5 (46 enodes)
* * [misc]simplify:  iters left: 4 (103 enodes)
* * [misc]simplify:  iters left: 3 (188 enodes)
* * [misc]simplify:  iters left: 2 (343 enodes)
* [exit]simplify:  Simplified to (* (/ (fma i (+ (/ i beta) (/ alpha beta)) i) (+ beta (fma i 2 alpha))) (/ (fma i (+ (+ beta i) alpha) (* beta alpha)) (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (* beta beta) 1.0))))
* * * * [misc]progress:  [ 10 / 116 ] simplifiying candidate #<alt-event (λ (alpha beta i) (/ (* (- (+ (/ i (fma i 2 alpha)) (/ (* (sqr beta) i) (pow (fma i 2 alpha) 3))) (/ (* beta i) (sqr (fma i 2 alpha)))) (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta))) (/ (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) (fma i (+ (+ alpha i) beta) (* alpha beta)))))>
* [enter]simplify:  Simplifying (/ (* (- (+ (/ i (fma i 2 alpha)) (/ (* (sqr beta) i) (pow (fma i 2 alpha) 3))) (/ (* beta i) (sqr (fma i 2 alpha)))) (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta))) (/ (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) (fma i (+ (+ alpha i) beta) (* alpha beta))))
* * [misc]simplify:  iters left: 6 (29 enodes)
* * [misc]simplify:  iters left: 5 (51 enodes)
* * [misc]simplify:  iters left: 4 (96 enodes)
* * [misc]simplify:  iters left: 3 (250 enodes)
* [exit]simplify:  Simplified to (/ (fma (/ i (fma i 2 alpha)) (* (/ beta (fma i 2 alpha)) (/ beta (fma i 2 alpha))) (- (/ i (fma i 2 alpha)) (/ (/ (* i beta) (fma i 2 alpha)) (fma i 2 alpha)))) (/ (* (+ beta (fma i 2 alpha)) (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (* beta beta) 1.0))) (* (+ (+ alpha beta) i) (fma i (+ (+ alpha beta) i) (* beta alpha)))))
* * * * [misc]progress:  [ 11 / 116 ] simplifiying candidate #<alt-event (λ (alpha beta i) (/ (* (- (+ (/ (* (sqr (fma (/ 1 i) 2 (/ 1 alpha))) i) (pow beta 3)) (/ i beta)) (/ (* (fma (/ 1 i) 2 (/ 1 alpha)) i) (sqr beta))) (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta))) (/ (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) (fma i (+ (+ alpha i) beta) (* alpha beta)))))>
* [enter]simplify:  Simplifying (/ (* (- (+ (/ (* (sqr (fma (/ 1 i) 2 (/ 1 alpha))) i) (pow beta 3)) (/ i beta)) (/ (* (fma (/ 1 i) 2 (/ 1 alpha)) i) (sqr beta))) (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta))) (/ (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) (fma i (+ (+ alpha i) beta) (* alpha beta))))
* * [misc]simplify:  iters left: 6 (33 enodes)
* * [misc]simplify:  iters left: 5 (57 enodes)
* * [misc]simplify:  iters left: 4 (102 enodes)
* * [misc]simplify:  iters left: 3 (263 enodes)
* [exit]simplify:  Simplified to (/ (fma (/ i beta) (* (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta) (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)) (- (/ i beta) (/ (fma (/ 1 i) 2 (/ 1 alpha)) (* beta (/ beta i))))) (/ (* (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (* beta beta) 1.0)) (+ beta (fma i 2 alpha))) (* (fma i (+ alpha (+ i beta)) (* beta alpha)) (+ alpha (+ i beta)))))
* * * * [misc]progress:  [ 12 / 116 ] simplifiying candidate #<alt-event (λ (alpha beta i) (/ (* (- (+ (/ i beta) (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) i) (pow beta 3))) (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) i) (sqr beta))) (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta))) (/ (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) (fma i (+ (+ alpha i) beta) (* alpha beta)))))>
* [enter]simplify:  Simplifying (/ (* (- (+ (/ i beta) (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) i) (pow beta 3))) (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) i) (sqr beta))) (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta))) (/ (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) (fma i (+ (+ alpha i) beta) (* alpha beta))))
* * [misc]simplify:  iters left: 6 (33 enodes)
* * [misc]simplify:  iters left: 5 (55 enodes)
* * [misc]simplify:  iters left: 4 (100 enodes)
* * [misc]simplify:  iters left: 3 (256 enodes)
* [exit]simplify:  Simplified to (/ (fma (/ i beta) (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta) (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) (- (/ i beta) (/ (fma (/ -1 i) 2 (/ -1 alpha)) (* beta (/ beta i))))) (/ (* (+ (fma i 2 alpha) beta) (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (* beta beta) 1.0))) (* (fma i (+ alpha (+ i beta)) (* alpha beta)) (+ alpha (+ i beta)))))
* * * * [misc]progress:  [ 13 / 116 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (* (/ i (+ (fma i 2 alpha) beta)) (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta))) (log1p (expm1 (/ (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) (fma i (+ (+ alpha i) beta) (* alpha beta)))))))>
* [enter]simplify:  Simplifying (expm1 (/ (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) (fma i (+ (+ alpha i) beta) (* alpha beta))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (21 enodes)
* * [misc]simplify:  iters left: 4 (24 enodes)
* * [misc]simplify:  iters left: 3 (28 enodes)
* * [misc]simplify:  iters left: 2 (30 enodes)
* [exit]simplify:  Simplified to (expm1 (/ (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (* beta beta) 1.0)) (fma i (+ i (+ beta alpha)) (* beta alpha))))
* [exit]simplify:  Simplified to (expm1 (/ (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (* beta beta) 1.0)) (fma i (+ i (+ beta alpha)) (* beta alpha))))
* * * * [misc]progress:  [ 14 / 116 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (* (/ i (+ (fma i 2 alpha) beta)) (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta))) (expm1 (log1p (/ (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) (fma i (+ (+ alpha i) beta) (* alpha beta)))))))>
* [enter]simplify:  Simplifying (log1p (/ (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) (fma i (+ (+ alpha i) beta) (* alpha beta))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (21 enodes)
* * [misc]simplify:  iters left: 4 (24 enodes)
* * [misc]simplify:  iters left: 3 (28 enodes)
* * [misc]simplify:  iters left: 2 (30 enodes)
* [exit]simplify:  Simplified to (log1p (/ (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (* beta beta) 1.0)) (fma i (+ i (+ beta alpha)) (* beta alpha))))
* [exit]simplify:  Simplified to (log1p (/ (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (* beta beta) 1.0)) (fma i (+ i (+ beta alpha)) (* beta alpha))))
* * * * [misc]progress:  [ 15 / 116 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (* (/ i (+ (fma i 2 alpha) beta)) (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta))) (pow (/ (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) (fma i (+ (+ alpha i) beta) (* alpha beta))) 1)))>
* * * * [misc]progress:  [ 16 / 116 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (* (/ i (+ (fma i 2 alpha) beta)) (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta))) (exp (- (log (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0))) (log (fma i (+ (+ alpha i) beta) (* alpha beta)))))))>
* [enter]simplify:  Simplifying (- (log (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0))) (log (fma i (+ (+ alpha i) beta) (* alpha beta))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (22 enodes)
* * [misc]simplify:  iters left: 4 (25 enodes)
* * [misc]simplify:  iters left: 3 (29 enodes)
* * [misc]simplify:  iters left: 2 (31 enodes)
* [exit]simplify:  Simplified to (- (log (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (* beta beta) 1.0))) (log (fma i (+ (+ beta i) alpha) (* beta alpha))))
* [exit]simplify:  Simplified to (- (log (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (* beta beta) 1.0))) (log (fma i (+ (+ beta i) alpha) (* beta alpha))))
* * * * [misc]progress:  [ 17 / 116 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (* (/ i (+ (fma i 2 alpha) beta)) (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta))) (exp (log (/ (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) (fma i (+ (+ alpha i) beta) (* alpha beta)))))))>
* [enter]simplify:  Simplifying (log (/ (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) (fma i (+ (+ alpha i) beta) (* alpha beta))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (24 enodes)
* * [misc]simplify:  iters left: 4 (27 enodes)
* * [misc]simplify:  iters left: 3 (31 enodes)
* * [misc]simplify:  iters left: 2 (33 enodes)
* [exit]simplify:  Simplified to (log (/ (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (* beta beta) 1.0)) (fma i (+ beta (+ i alpha)) (* beta alpha))))
* [exit]simplify:  Simplified to (log (/ (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (* beta beta) 1.0)) (fma i (+ beta (+ i alpha)) (* beta alpha))))
* * * * [misc]progress:  [ 18 / 116 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (* (/ i (+ (fma i 2 alpha) beta)) (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta))) (log (exp (/ (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) (fma i (+ (+ alpha i) beta) (* alpha beta)))))))>
* [enter]simplify:  Simplifying (exp (/ (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) (fma i (+ (+ alpha i) beta) (* alpha beta))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (21 enodes)
* * [misc]simplify:  iters left: 4 (24 enodes)
* * [misc]simplify:  iters left: 3 (28 enodes)
* * [misc]simplify:  iters left: 2 (30 enodes)
* [exit]simplify:  Simplified to (exp (/ (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (* beta beta) 1.0)) (fma i (+ i (+ beta alpha)) (* beta alpha))))
* [exit]simplify:  Simplified to (exp (/ (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (* beta beta) 1.0)) (fma i (+ i (+ beta alpha)) (* beta alpha))))
* * * * [misc]progress:  [ 19 / 116 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (* (/ i (+ (fma i 2 alpha) beta)) (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta))) (cbrt (/ (cube (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0))) (cube (fma i (+ (+ alpha i) beta) (* alpha beta)))))))>
* [enter]simplify:  Simplifying (/ (cube (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0))) (cube (fma i (+ (+ alpha i) beta) (* alpha beta))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (26 enodes)
* * [misc]simplify:  iters left: 4 (36 enodes)
* * [misc]simplify:  iters left: 3 (50 enodes)
* * [misc]simplify:  iters left: 2 (73 enodes)
* * [misc]simplify:  iters left: 1 (84 enodes)
* [exit]simplify:  Simplified to (cube (/ (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (* beta beta) 1.0)) (fma i (+ (+ beta alpha) i) (* beta alpha))))
* [exit]simplify:  Simplified to (cube (/ (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (* beta beta) 1.0)) (fma i (+ (+ beta alpha) i) (* beta alpha))))
* * * * [misc]progress:  [ 20 / 116 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (* (/ i (+ (fma i 2 alpha) beta)) (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta))) (cube (cbrt (/ (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) (fma i (+ (+ alpha i) beta) (* alpha beta)))))))>
* [enter]simplify:  Simplifying (cbrt (/ (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) (fma i (+ (+ alpha i) beta) (* alpha beta))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (21 enodes)
* * [misc]simplify:  iters left: 4 (24 enodes)
* * [misc]simplify:  iters left: 3 (28 enodes)
* * [misc]simplify:  iters left: 2 (30 enodes)
* [exit]simplify:  Simplified to (cbrt (/ (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (* beta beta) 1.0)) (fma i (+ i (+ beta alpha)) (* beta alpha))))
* [exit]simplify:  Simplified to (cbrt (/ (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (* beta beta) 1.0)) (fma i (+ i (+ beta alpha)) (* beta alpha))))
* * * * [misc]progress:  [ 21 / 116 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (* (/ i (+ (fma i 2 alpha) beta)) (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta))) (cbrt (cube (/ (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) (fma i (+ (+ alpha i) beta) (* alpha beta)))))))>
* [enter]simplify:  Simplifying (cube (/ (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) (fma i (+ (+ alpha i) beta) (* alpha beta))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (26 enodes)
* * [misc]simplify:  iters left: 4 (39 enodes)
* * [misc]simplify:  iters left: 3 (49 enodes)
* * [misc]simplify:  iters left: 2 (70 enodes)
* * [misc]simplify:  iters left: 1 (89 enodes)
* [exit]simplify:  Simplified to (cube (/ (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (* beta beta) 1.0)) (fma i (+ (+ beta i) alpha) (* beta alpha))))
* [exit]simplify:  Simplified to (cube (/ (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (* beta beta) 1.0)) (fma i (+ (+ beta i) alpha) (* beta alpha))))
* * * * [misc]progress:  [ 22 / 116 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (* (/ i (+ (fma i 2 alpha) beta)) (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta))) (cube (/ (cbrt (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0))) (cbrt (fma i (+ (+ alpha i) beta) (* alpha beta)))))))>
* [enter]simplify:  Simplifying (/ (cbrt (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0))) (cbrt (fma i (+ (+ alpha i) beta) (* alpha beta))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (22 enodes)
* * [misc]simplify:  iters left: 4 (25 enodes)
* * [misc]simplify:  iters left: 3 (29 enodes)
* * [misc]simplify:  iters left: 2 (31 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (* beta beta) 1.0))) (cbrt (fma i (+ (+ beta i) alpha) (* beta alpha))))
* [exit]simplify:  Simplified to (/ (cbrt (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (* beta beta) 1.0))) (cbrt (fma i (+ (+ beta i) alpha) (* beta alpha))))
* * * * [misc]progress:  [ 23 / 116 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (* (/ i (+ (fma i 2 alpha) beta)) (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta))) (sqr (sqrt (/ (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) (fma i (+ (+ alpha i) beta) (* alpha beta)))))))>
* [enter]simplify:  Simplifying (sqrt (/ (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) (fma i (+ (+ alpha i) beta) (* alpha beta))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (21 enodes)
* * [misc]simplify:  iters left: 4 (24 enodes)
* * [misc]simplify:  iters left: 3 (28 enodes)
* * [misc]simplify:  iters left: 2 (30 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (* beta beta) 1.0)) (fma i (+ i (+ beta alpha)) (* beta alpha))))
* [exit]simplify:  Simplified to (sqrt (/ (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (* beta beta) 1.0)) (fma i (+ i (+ beta alpha)) (* beta alpha))))
* * * * [misc]progress:  [ 24 / 116 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (* (/ i (+ (fma i 2 alpha) beta)) (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta))) (sqr (/ (sqrt (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0))) (sqrt (fma i (+ (+ alpha i) beta) (* alpha beta)))))))>
* [enter]simplify:  Simplifying (/ (sqrt (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0))) (sqrt (fma i (+ (+ alpha i) beta) (* alpha beta))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (22 enodes)
* * [misc]simplify:  iters left: 4 (25 enodes)
* * [misc]simplify:  iters left: 3 (29 enodes)
* * [misc]simplify:  iters left: 2 (31 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (* beta beta) 1.0))) (sqrt (fma i (+ (+ beta i) alpha) (* beta alpha))))
* [exit]simplify:  Simplified to (/ (sqrt (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (* beta beta) 1.0))) (sqrt (fma i (+ (+ beta i) alpha) (* beta alpha))))
* * * * [misc]progress:  [ 25 / 116 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (* (/ i (+ (fma i 2 alpha) beta)) (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta))) (/ (- (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0))) (- (fma i (+ (+ alpha i) beta) (* alpha beta))))))>
* [enter]simplify:  Simplifying (- (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* [exit]simplify:  Simplified to (- (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (* beta beta) 1.0)))
* [exit]simplify:  Simplified to (- (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (* beta beta) 1.0)))
* [enter]simplify:  Simplifying (- (fma i (+ (+ alpha i) beta) (* alpha beta)))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* * [misc]simplify:  iters left: 4 (15 enodes)
* * [misc]simplify:  iters left: 3 (19 enodes)
* * [misc]simplify:  iters left: 2 (21 enodes)
* [exit]simplify:  Simplified to (- (fma i (+ (+ beta i) alpha) (* beta alpha)))
* [exit]simplify:  Simplified to (- (fma i (+ (+ beta i) alpha) (* beta alpha)))
* * * * [misc]progress:  [ 26 / 116 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (* (/ i (+ (fma i 2 alpha) beta)) (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta))) (* (/ 1 1) (/ (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) (fma i (+ (+ alpha i) beta) (* alpha beta))))))>
* [enter]simplify:  Simplifying (/ 1 1)
* * [misc]simplify:  iters left: 2 (2 enodes)
* * [misc]simplify:  iters left: 1 (4 enodes)
* [exit]simplify:  Simplified to 1
* [exit]simplify:  Simplified to 1
* [enter]simplify:  Simplifying (/ (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) (fma i (+ (+ alpha i) beta) (* alpha beta)))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* * [misc]simplify:  iters left: 4 (23 enodes)
* * [misc]simplify:  iters left: 3 (27 enodes)
* * [misc]simplify:  iters left: 2 (29 enodes)
* [exit]simplify:  Simplified to (/ (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (* beta beta) 1.0)) (fma i (+ alpha (+ beta i)) (* beta alpha)))
* [exit]simplify:  Simplified to (/ (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (* beta beta) 1.0)) (fma i (+ alpha (+ beta i)) (* beta alpha)))
* * * * [misc]progress:  [ 27 / 116 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (* (/ i (+ (fma i 2 alpha) beta)) (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta))) (* 1 (/ (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) (fma i (+ (+ alpha i) beta) (* alpha beta))))))>
* * * * [misc]progress:  [ 28 / 116 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (* (/ i (+ (fma i 2 alpha) beta)) (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta))) (* (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) (/ 1 (fma i (+ (+ alpha i) beta) (* alpha beta))))))>
* [enter]simplify:  Simplifying (/ 1 (fma i (+ (+ alpha i) beta) (* alpha beta)))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (18 enodes)
* * [misc]simplify:  iters left: 3 (22 enodes)
* * [misc]simplify:  iters left: 2 (24 enodes)
* [exit]simplify:  Simplified to (/ 1 (fma i (+ i (+ beta alpha)) (* beta alpha)))
* [exit]simplify:  Simplified to (/ 1 (fma i (+ i (+ beta alpha)) (* beta alpha)))
* * * * [misc]progress:  [ 29 / 116 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (* (/ i (+ (fma i 2 alpha) beta)) (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta))) (/ 1 (/ (fma i (+ (+ alpha i) beta) (* alpha beta)) (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0))))))>
* [enter]simplify:  Simplifying (/ (fma i (+ (+ alpha i) beta) (* alpha beta)) (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* * [misc]simplify:  iters left: 4 (23 enodes)
* * [misc]simplify:  iters left: 3 (27 enodes)
* * [misc]simplify:  iters left: 2 (29 enodes)
* [exit]simplify:  Simplified to (/ (fma i (+ (+ beta i) alpha) (* beta alpha)) (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (* beta beta) 1.0)))
* [exit]simplify:  Simplified to (/ (fma i (+ (+ beta i) alpha) (* beta alpha)) (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (* beta beta) 1.0)))
* * * * [misc]progress:  [ 30 / 116 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (* (/ i (+ (fma i 2 alpha) beta)) (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta))) (/ (/ (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) 1) (fma i (+ (+ alpha i) beta) (* alpha beta)))))>
* [enter]simplify:  Simplifying (/ (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) 1)
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* [exit]simplify:  Simplified to (/ (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (* beta beta) 1.0)) 1)
* [exit]simplify:  Simplified to (/ (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (* beta beta) 1.0)) 1)
* * * * [misc]progress:  [ 31 / 116 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (* (/ i (+ (fma i 2 alpha) beta)) (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta))) (/ 1 (/ (fma i (+ (+ alpha i) beta) (* alpha beta)) (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0))))))>
* [enter]simplify:  Simplifying (/ (fma i (+ (+ alpha i) beta) (* alpha beta)) (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* * [misc]simplify:  iters left: 4 (23 enodes)
* * [misc]simplify:  iters left: 3 (27 enodes)
* * [misc]simplify:  iters left: 2 (29 enodes)
* [exit]simplify:  Simplified to (/ (fma i (+ (+ beta i) alpha) (* beta alpha)) (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (* beta beta) 1.0)))
* [exit]simplify:  Simplified to (/ (fma i (+ (+ beta i) alpha) (* beta alpha)) (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (* beta beta) 1.0)))
* * * * [misc]progress:  [ 32 / 116 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (log1p (expm1 (/ (* (/ i (+ (fma i 2 alpha) beta)) (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta))) (/ (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) (fma i (+ (+ alpha i) beta) (* alpha beta)))))))>
* [enter]simplify:  Simplifying (expm1 (/ (* (/ i (+ (fma i 2 alpha) beta)) (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta))) (/ (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) (fma i (+ (+ alpha i) beta) (* alpha beta)))))
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (34 enodes)
* * [misc]simplify:  iters left: 4 (63 enodes)
* * [misc]simplify:  iters left: 3 (151 enodes)
* * [misc]simplify:  iters left: 2 (323 enodes)
* [exit]simplify:  Simplified to (expm1 (/ (/ (fma i (+ i (+ beta alpha)) (* beta alpha)) (/ (+ beta (fma i 2 alpha)) (+ i (+ beta alpha)))) (/ (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (* beta beta) 1.0)) (/ i (+ beta (fma i 2 alpha))))))
* [exit]simplify:  Simplified to (expm1 (/ (/ (fma i (+ i (+ beta alpha)) (* beta alpha)) (/ (+ beta (fma i 2 alpha)) (+ i (+ beta alpha)))) (/ (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (* beta beta) 1.0)) (/ i (+ beta (fma i 2 alpha))))))
* * * * [misc]progress:  [ 33 / 116 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (expm1 (log1p (/ (* (/ i (+ (fma i 2 alpha) beta)) (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta))) (/ (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) (fma i (+ (+ alpha i) beta) (* alpha beta)))))))>
* [enter]simplify:  Simplifying (log1p (/ (* (/ i (+ (fma i 2 alpha) beta)) (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta))) (/ (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) (fma i (+ (+ alpha i) beta) (* alpha beta)))))
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (34 enodes)
* * [misc]simplify:  iters left: 4 (63 enodes)
* * [misc]simplify:  iters left: 3 (151 enodes)
* * [misc]simplify:  iters left: 2 (323 enodes)
* [exit]simplify:  Simplified to (log1p (/ (/ (fma i (+ i (+ beta alpha)) (* beta alpha)) (/ (+ beta (fma i 2 alpha)) (+ i (+ beta alpha)))) (/ (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (* beta beta) 1.0)) (/ i (+ beta (fma i 2 alpha))))))
* [exit]simplify:  Simplified to (log1p (/ (/ (fma i (+ i (+ beta alpha)) (* beta alpha)) (/ (+ beta (fma i 2 alpha)) (+ i (+ beta alpha)))) (/ (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (* beta beta) 1.0)) (/ i (+ beta (fma i 2 alpha))))))
* * * * [misc]progress:  [ 34 / 116 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (pow (/ (* (/ i (+ (fma i 2 alpha) beta)) (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta))) (/ (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) (fma i (+ (+ alpha i) beta) (* alpha beta)))) 1))>
* * * * [misc]progress:  [ 35 / 116 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (exp (- (+ (log (/ i (+ (fma i 2 alpha) beta))) (- (log (+ (+ alpha i) beta)) (log (+ (fma i 2 alpha) beta)))) (- (log (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0))) (log (fma i (+ (+ alpha i) beta) (* alpha beta)))))))>
* [enter]simplify:  Simplifying (- (+ (log (/ i (+ (fma i 2 alpha) beta))) (- (log (+ (+ alpha i) beta)) (log (+ (fma i 2 alpha) beta)))) (- (log (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0))) (log (fma i (+ (+ alpha i) beta) (* alpha beta)))))
* * [misc]simplify:  iters left: 6 (25 enodes)
* * [misc]simplify:  iters left: 5 (40 enodes)
* * [misc]simplify:  iters left: 4 (63 enodes)
* * [misc]simplify:  iters left: 3 (101 enodes)
* * [misc]simplify:  iters left: 2 (150 enodes)
* * [misc]simplify:  iters left: 1 (226 enodes)
* [exit]simplify:  Simplified to (+ (+ (log (fma i (+ i (+ beta alpha)) (* beta alpha))) (log (/ i (+ beta (fma i 2 alpha))))) (- (- (log (+ i (+ beta alpha))) (log (+ beta (fma i 2 alpha)))) (log (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (* beta beta) 1.0)))))
* [exit]simplify:  Simplified to (+ (+ (log (fma i (+ i (+ beta alpha)) (* beta alpha))) (log (/ i (+ beta (fma i 2 alpha))))) (- (- (log (+ i (+ beta alpha))) (log (+ beta (fma i 2 alpha)))) (log (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (* beta beta) 1.0)))))
* * * * [misc]progress:  [ 36 / 116 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (exp (- (+ (log (/ i (+ (fma i 2 alpha) beta))) (- (log (+ (+ alpha i) beta)) (log (+ (fma i 2 alpha) beta)))) (log (/ (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) (fma i (+ (+ alpha i) beta) (* alpha beta)))))))>
* [enter]simplify:  Simplifying (- (+ (log (/ i (+ (fma i 2 alpha) beta))) (- (log (+ (+ alpha i) beta)) (log (+ (fma i 2 alpha) beta)))) (log (/ (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) (fma i (+ (+ alpha i) beta) (* alpha beta)))))
* * [misc]simplify:  iters left: 6 (24 enodes)
* * [misc]simplify:  iters left: 5 (40 enodes)
* * [misc]simplify:  iters left: 4 (59 enodes)
* * [misc]simplify:  iters left: 3 (90 enodes)
* * [misc]simplify:  iters left: 2 (137 enodes)
* * [misc]simplify:  iters left: 1 (213 enodes)
* [exit]simplify:  Simplified to (- (- (+ (log (+ (+ beta alpha) i)) (log i)) (+ (log (+ beta (fma i 2 alpha))) (log (+ beta (fma i 2 alpha))))) (log (/ (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (* beta beta) 1.0)) (fma i (+ (+ beta alpha) i) (* beta alpha)))))
* [exit]simplify:  Simplified to (- (- (+ (log (+ (+ beta alpha) i)) (log i)) (+ (log (+ beta (fma i 2 alpha))) (log (+ beta (fma i 2 alpha))))) (log (/ (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (* beta beta) 1.0)) (fma i (+ (+ beta alpha) i) (* beta alpha)))))
* * * * [misc]progress:  [ 37 / 116 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (exp (- (+ (log (/ i (+ (fma i 2 alpha) beta))) (log (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)))) (- (log (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0))) (log (fma i (+ (+ alpha i) beta) (* alpha beta)))))))>
* [enter]simplify:  Simplifying (- (+ (log (/ i (+ (fma i 2 alpha) beta))) (log (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)))) (- (log (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0))) (log (fma i (+ (+ alpha i) beta) (* alpha beta)))))
* * [misc]simplify:  iters left: 6 (24 enodes)
* * [misc]simplify:  iters left: 5 (40 enodes)
* * [misc]simplify:  iters left: 4 (62 enodes)
* * [misc]simplify:  iters left: 3 (99 enodes)
* * [misc]simplify:  iters left: 2 (140 enodes)
* * [misc]simplify:  iters left: 1 (197 enodes)
* [exit]simplify:  Simplified to (+ (+ (log (fma i (+ i (+ beta alpha)) (* beta alpha))) (log (/ i (+ beta (fma i 2 alpha))))) (- (log (/ (+ i (+ beta alpha)) (+ beta (fma i 2 alpha)))) (log (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (* beta beta) 1.0)))))
* [exit]simplify:  Simplified to (+ (+ (log (fma i (+ i (+ beta alpha)) (* beta alpha))) (log (/ i (+ beta (fma i 2 alpha))))) (- (log (/ (+ i (+ beta alpha)) (+ beta (fma i 2 alpha)))) (log (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (* beta beta) 1.0)))))
* * * * [misc]progress:  [ 38 / 116 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (exp (- (+ (log (/ i (+ (fma i 2 alpha) beta))) (log (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)))) (log (/ (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) (fma i (+ (+ alpha i) beta) (* alpha beta)))))))>
* [enter]simplify:  Simplifying (- (+ (log (/ i (+ (fma i 2 alpha) beta))) (log (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)))) (log (/ (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) (fma i (+ (+ alpha i) beta) (* alpha beta)))))
* * [misc]simplify:  iters left: 6 (23 enodes)
* * [misc]simplify:  iters left: 5 (40 enodes)
* * [misc]simplify:  iters left: 4 (58 enodes)
* * [misc]simplify:  iters left: 3 (88 enodes)
* * [misc]simplify:  iters left: 2 (129 enodes)
* * [misc]simplify:  iters left: 1 (190 enodes)
* [exit]simplify:  Simplified to (- (+ (log (/ (+ (+ beta i) alpha) (+ beta (fma i 2 alpha)))) (log (/ i (+ beta (fma i 2 alpha))))) (log (/ (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (* beta beta) 1.0)) (fma i (+ (+ beta i) alpha) (* beta alpha)))))
* [exit]simplify:  Simplified to (- (+ (log (/ (+ (+ beta i) alpha) (+ beta (fma i 2 alpha)))) (log (/ i (+ beta (fma i 2 alpha))))) (log (/ (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (* beta beta) 1.0)) (fma i (+ (+ beta i) alpha) (* beta alpha)))))
* * * * [misc]progress:  [ 39 / 116 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (exp (- (log (* (/ i (+ (fma i 2 alpha) beta)) (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)))) (- (log (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0))) (log (fma i (+ (+ alpha i) beta) (* alpha beta)))))))>
* [enter]simplify:  Simplifying (- (log (* (/ i (+ (fma i 2 alpha) beta)) (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)))) (- (log (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0))) (log (fma i (+ (+ alpha i) beta) (* alpha beta)))))
* * [misc]simplify:  iters left: 6 (23 enodes)
* * [misc]simplify:  iters left: 5 (39 enodes)
* * [misc]simplify:  iters left: 4 (74 enodes)
* * [misc]simplify:  iters left: 3 (147 enodes)
* * [misc]simplify:  iters left: 2 (242 enodes)
* * [misc]simplify:  iters left: 1 (337 enodes)
* [exit]simplify:  Simplified to (- (log (* (/ i (+ beta (fma i 2 alpha))) (/ (+ i (+ beta alpha)) (+ beta (fma i 2 alpha))))) (- (log (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (* beta beta) 1.0))) (log (fma i (+ i (+ beta alpha)) (* beta alpha)))))
* [exit]simplify:  Simplified to (- (log (* (/ i (+ beta (fma i 2 alpha))) (/ (+ i (+ beta alpha)) (+ beta (fma i 2 alpha))))) (- (log (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (* beta beta) 1.0))) (log (fma i (+ i (+ beta alpha)) (* beta alpha)))))
* * * * [misc]progress:  [ 40 / 116 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (exp (- (log (* (/ i (+ (fma i 2 alpha) beta)) (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)))) (log (/ (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) (fma i (+ (+ alpha i) beta) (* alpha beta)))))))>
* [enter]simplify:  Simplifying (- (log (* (/ i (+ (fma i 2 alpha) beta)) (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)))) (log (/ (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) (fma i (+ (+ alpha i) beta) (* alpha beta)))))
* * [misc]simplify:  iters left: 6 (22 enodes)
* * [misc]simplify:  iters left: 5 (39 enodes)
* * [misc]simplify:  iters left: 4 (74 enodes)
* * [misc]simplify:  iters left: 3 (147 enodes)
* * [misc]simplify:  iters left: 2 (243 enodes)
* * [misc]simplify:  iters left: 1 (344 enodes)
* [exit]simplify:  Simplified to (- (log (* (/ i (+ beta (fma i 2 alpha))) (/ (+ alpha (+ beta i)) (+ beta (fma i 2 alpha))))) (log (/ (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (* beta beta) 1.0)) (fma i (+ alpha (+ beta i)) (* beta alpha)))))
* [exit]simplify:  Simplified to (- (log (* (/ i (+ beta (fma i 2 alpha))) (/ (+ alpha (+ beta i)) (+ beta (fma i 2 alpha))))) (log (/ (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (* beta beta) 1.0)) (fma i (+ alpha (+ beta i)) (* beta alpha)))))
* * * * [misc]progress:  [ 41 / 116 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (exp (log (/ (* (/ i (+ (fma i 2 alpha) beta)) (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta))) (/ (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) (fma i (+ (+ alpha i) beta) (* alpha beta)))))))>
* [enter]simplify:  Simplifying (log (/ (* (/ i (+ (fma i 2 alpha) beta)) (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta))) (/ (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) (fma i (+ (+ alpha i) beta) (* alpha beta)))))
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (37 enodes)
* * [misc]simplify:  iters left: 4 (78 enodes)
* * [misc]simplify:  iters left: 3 (177 enodes)
* * [misc]simplify:  iters left: 2 (382 enodes)
* [exit]simplify:  Simplified to (log (/ (* (fma i (+ (+ beta alpha) i) (* beta alpha)) (/ i (+ beta (fma i 2 alpha)))) (/ (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (* beta beta) 1.0)) (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))))))
* [exit]simplify:  Simplified to (log (/ (* (fma i (+ (+ beta alpha) i) (* beta alpha)) (/ i (+ beta (fma i 2 alpha)))) (/ (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (* beta beta) 1.0)) (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))))))
* * * * [misc]progress:  [ 42 / 116 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (log (exp (/ (* (/ i (+ (fma i 2 alpha) beta)) (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta))) (/ (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) (fma i (+ (+ alpha i) beta) (* alpha beta)))))))>
* [enter]simplify:  Simplifying (exp (/ (* (/ i (+ (fma i 2 alpha) beta)) (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta))) (/ (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) (fma i (+ (+ alpha i) beta) (* alpha beta)))))
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (34 enodes)
* * [misc]simplify:  iters left: 4 (63 enodes)
* * [misc]simplify:  iters left: 3 (155 enodes)
* * [misc]simplify:  iters left: 2 (329 enodes)
* [exit]simplify:  Simplified to (exp (/ (* (fma i (+ (+ beta i) alpha) (* beta alpha)) (/ i (+ beta (fma i 2 alpha)))) (* (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (* beta beta) 1.0)) (/ (+ beta (fma i 2 alpha)) (+ (+ beta i) alpha)))))
* [exit]simplify:  Simplified to (exp (/ (* (fma i (+ (+ beta i) alpha) (* beta alpha)) (/ i (+ beta (fma i 2 alpha)))) (* (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (* beta beta) 1.0)) (/ (+ beta (fma i 2 alpha)) (+ (+ beta i) alpha)))))
* * * * [misc]progress:  [ 43 / 116 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (cbrt (/ (* (cube (/ i (+ (fma i 2 alpha) beta))) (/ (cube (+ (+ alpha i) beta)) (cube (+ (fma i 2 alpha) beta)))) (/ (cube (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0))) (cube (fma i (+ (+ alpha i) beta) (* alpha beta)))))))>
* [enter]simplify:  Simplifying (/ (* (cube (/ i (+ (fma i 2 alpha) beta))) (/ (cube (+ (+ alpha i) beta)) (cube (+ (fma i 2 alpha) beta)))) (/ (cube (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0))) (cube (fma i (+ (+ alpha i) beta) (* alpha beta)))))
* * [misc]simplify:  iters left: 6 (25 enodes)
* * [misc]simplify:  iters left: 5 (48 enodes)
* * [misc]simplify:  iters left: 4 (112 enodes)
* * [misc]simplify:  iters left: 3 (398 enodes)
* [exit]simplify:  Simplified to (/ (* (cube (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha)))) (cube (/ i (+ beta (fma i 2 alpha))))) (cube (/ (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (* beta beta) 1.0)) (fma i (+ (+ beta alpha) i) (* beta alpha)))))
* [exit]simplify:  Simplified to (/ (* (cube (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha)))) (cube (/ i (+ beta (fma i 2 alpha))))) (cube (/ (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (* beta beta) 1.0)) (fma i (+ (+ beta alpha) i) (* beta alpha)))))
* * * * [misc]progress:  [ 44 / 116 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (cbrt (/ (* (cube (/ i (+ (fma i 2 alpha) beta))) (/ (cube (+ (+ alpha i) beta)) (cube (+ (fma i 2 alpha) beta)))) (cube (/ (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) (fma i (+ (+ alpha i) beta) (* alpha beta)))))))>
* [enter]simplify:  Simplifying (/ (* (cube (/ i (+ (fma i 2 alpha) beta))) (/ (cube (+ (+ alpha i) beta)) (cube (+ (fma i 2 alpha) beta)))) (cube (/ (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) (fma i (+ (+ alpha i) beta) (* alpha beta)))))
* * [misc]simplify:  iters left: 6 (24 enodes)
* * [misc]simplify:  iters left: 5 (48 enodes)
* * [misc]simplify:  iters left: 4 (115 enodes)
* * [misc]simplify:  iters left: 3 (383 enodes)
* [exit]simplify:  Simplified to (/ (* (cube (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha)))) (cube (/ i (+ beta (fma i 2 alpha))))) (cube (/ (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (* beta beta) 1.0)) (fma i (+ (+ beta alpha) i) (* beta alpha)))))
* [exit]simplify:  Simplified to (/ (* (cube (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha)))) (cube (/ i (+ beta (fma i 2 alpha))))) (cube (/ (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (* beta beta) 1.0)) (fma i (+ (+ beta alpha) i) (* beta alpha)))))
* * * * [misc]progress:  [ 45 / 116 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (cbrt (/ (* (cube (/ i (+ (fma i 2 alpha) beta))) (cube (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)))) (/ (cube (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0))) (cube (fma i (+ (+ alpha i) beta) (* alpha beta)))))))>
* [enter]simplify:  Simplifying (/ (* (cube (/ i (+ (fma i 2 alpha) beta))) (cube (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)))) (/ (cube (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0))) (cube (fma i (+ (+ alpha i) beta) (* alpha beta)))))
* * [misc]simplify:  iters left: 6 (24 enodes)
* * [misc]simplify:  iters left: 5 (46 enodes)
* * [misc]simplify:  iters left: 4 (90 enodes)
* * [misc]simplify:  iters left: 3 (252 enodes)
* [exit]simplify:  Simplified to (/ (* (cube (/ i (+ beta (fma i 2 alpha)))) (cube (/ (+ alpha (+ beta i)) (+ beta (fma i 2 alpha))))) (cube (/ (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (* beta beta) 1.0)) (fma i (+ alpha (+ beta i)) (* beta alpha)))))
* [exit]simplify:  Simplified to (/ (* (cube (/ i (+ beta (fma i 2 alpha)))) (cube (/ (+ alpha (+ beta i)) (+ beta (fma i 2 alpha))))) (cube (/ (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (* beta beta) 1.0)) (fma i (+ alpha (+ beta i)) (* beta alpha)))))
* * * * [misc]progress:  [ 46 / 116 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (cbrt (/ (* (cube (/ i (+ (fma i 2 alpha) beta))) (cube (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)))) (cube (/ (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) (fma i (+ (+ alpha i) beta) (* alpha beta)))))))>
* [enter]simplify:  Simplifying (/ (* (cube (/ i (+ (fma i 2 alpha) beta))) (cube (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)))) (cube (/ (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) (fma i (+ (+ alpha i) beta) (* alpha beta)))))
* * [misc]simplify:  iters left: 6 (23 enodes)
* * [misc]simplify:  iters left: 5 (46 enodes)
* * [misc]simplify:  iters left: 4 (96 enodes)
* * [misc]simplify:  iters left: 3 (279 enodes)
* [exit]simplify:  Simplified to (/ (* (cube (/ i (+ beta (fma i 2 alpha)))) (cube (/ (+ i (+ beta alpha)) (+ beta (fma i 2 alpha))))) (cube (/ (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (* beta beta) 1.0)) (fma i (+ i (+ beta alpha)) (* beta alpha)))))
* [exit]simplify:  Simplified to (/ (* (cube (/ i (+ beta (fma i 2 alpha)))) (cube (/ (+ i (+ beta alpha)) (+ beta (fma i 2 alpha))))) (cube (/ (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (* beta beta) 1.0)) (fma i (+ i (+ beta alpha)) (* beta alpha)))))
* * * * [misc]progress:  [ 47 / 116 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (cbrt (/ (cube (* (/ i (+ (fma i 2 alpha) beta)) (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)))) (/ (cube (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0))) (cube (fma i (+ (+ alpha i) beta) (* alpha beta)))))))>
* [enter]simplify:  Simplifying (/ (cube (* (/ i (+ (fma i 2 alpha) beta)) (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)))) (/ (cube (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0))) (cube (fma i (+ (+ alpha i) beta) (* alpha beta)))))
* * [misc]simplify:  iters left: 6 (23 enodes)
* * [misc]simplify:  iters left: 5 (45 enodes)
* * [misc]simplify:  iters left: 4 (96 enodes)
* * [misc]simplify:  iters left: 3 (243 enodes)
* [exit]simplify:  Simplified to (/ (cube (* (/ i (+ beta (fma i 2 alpha))) (/ (+ alpha (+ beta i)) (+ beta (fma i 2 alpha))))) (cube (/ (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (* beta beta) 1.0)) (fma i (+ alpha (+ beta i)) (* beta alpha)))))
* [exit]simplify:  Simplified to (/ (cube (* (/ i (+ beta (fma i 2 alpha))) (/ (+ alpha (+ beta i)) (+ beta (fma i 2 alpha))))) (cube (/ (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (* beta beta) 1.0)) (fma i (+ alpha (+ beta i)) (* beta alpha)))))
* * * * [misc]progress:  [ 48 / 116 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (cbrt (/ (cube (* (/ i (+ (fma i 2 alpha) beta)) (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)))) (cube (/ (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) (fma i (+ (+ alpha i) beta) (* alpha beta)))))))>
* [enter]simplify:  Simplifying (/ (cube (* (/ i (+ (fma i 2 alpha) beta)) (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)))) (cube (/ (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) (fma i (+ (+ alpha i) beta) (* alpha beta)))))
* * [misc]simplify:  iters left: 6 (22 enodes)
* * [misc]simplify:  iters left: 5 (43 enodes)
* * [misc]simplify:  iters left: 4 (95 enodes)
* * [misc]simplify:  iters left: 3 (247 enodes)
* [exit]simplify:  Simplified to (/ (cube (* (/ i (+ beta (fma i 2 alpha))) (/ (+ alpha (+ beta i)) (+ beta (fma i 2 alpha))))) (cube (/ (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (* beta beta) 1.0)) (fma i (+ alpha (+ beta i)) (* beta alpha)))))
* [exit]simplify:  Simplified to (/ (cube (* (/ i (+ beta (fma i 2 alpha))) (/ (+ alpha (+ beta i)) (+ beta (fma i 2 alpha))))) (cube (/ (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (* beta beta) 1.0)) (fma i (+ alpha (+ beta i)) (* beta alpha)))))
* * * * [misc]progress:  [ 49 / 116 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (cube (cbrt (/ (* (/ i (+ (fma i 2 alpha) beta)) (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta))) (/ (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) (fma i (+ (+ alpha i) beta) (* alpha beta)))))))>
* [enter]simplify:  Simplifying (cbrt (/ (* (/ i (+ (fma i 2 alpha) beta)) (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta))) (/ (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) (fma i (+ (+ alpha i) beta) (* alpha beta)))))
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (34 enodes)
* * [misc]simplify:  iters left: 4 (63 enodes)
* * [misc]simplify:  iters left: 3 (151 enodes)
* * [misc]simplify:  iters left: 2 (323 enodes)
* [exit]simplify:  Simplified to (cbrt (/ (/ (fma i (+ i (+ beta alpha)) (* beta alpha)) (/ (+ beta (fma i 2 alpha)) (+ i (+ beta alpha)))) (/ (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (* beta beta) 1.0)) (/ i (+ beta (fma i 2 alpha))))))
* [exit]simplify:  Simplified to (cbrt (/ (/ (fma i (+ i (+ beta alpha)) (* beta alpha)) (/ (+ beta (fma i 2 alpha)) (+ i (+ beta alpha)))) (/ (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (* beta beta) 1.0)) (/ i (+ beta (fma i 2 alpha))))))
* * * * [misc]progress:  [ 50 / 116 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (cbrt (cube (/ (* (/ i (+ (fma i 2 alpha) beta)) (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta))) (/ (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) (fma i (+ (+ alpha i) beta) (* alpha beta)))))))>
* [enter]simplify:  Simplifying (cube (/ (* (/ i (+ (fma i 2 alpha) beta)) (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta))) (/ (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) (fma i (+ (+ alpha i) beta) (* alpha beta)))))
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (39 enodes)
* * [misc]simplify:  iters left: 4 (96 enodes)
* * [misc]simplify:  iters left: 3 (257 enodes)
* [exit]simplify:  Simplified to (cube (/ (* (fma i (+ (+ beta alpha) i) (* beta alpha)) (/ i (+ beta (fma i 2 alpha)))) (/ (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (* beta beta) 1.0)) (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))))))
* [exit]simplify:  Simplified to (cube (/ (* (fma i (+ (+ beta alpha) i) (* beta alpha)) (/ i (+ beta (fma i 2 alpha)))) (/ (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (* beta beta) 1.0)) (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))))))
* * * * [misc]progress:  [ 51 / 116 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (cube (/ (cbrt (* (/ i (+ (fma i 2 alpha) beta)) (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)))) (cbrt (/ (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) (fma i (+ (+ alpha i) beta) (* alpha beta)))))))>
* [enter]simplify:  Simplifying (/ (cbrt (* (/ i (+ (fma i 2 alpha) beta)) (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)))) (cbrt (/ (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) (fma i (+ (+ alpha i) beta) (* alpha beta)))))
* * [misc]simplify:  iters left: 6 (22 enodes)
* * [misc]simplify:  iters left: 5 (33 enodes)
* * [misc]simplify:  iters left: 4 (54 enodes)
* * [misc]simplify:  iters left: 3 (111 enodes)
* * [misc]simplify:  iters left: 2 (182 enodes)
* * [misc]simplify:  iters left: 1 (270 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (* (/ i (+ beta (fma i 2 alpha))) (/ (+ i (+ beta alpha)) (+ beta (fma i 2 alpha))))) (cbrt (/ (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (* beta beta) 1.0)) (fma i (+ i (+ beta alpha)) (* beta alpha)))))
* [exit]simplify:  Simplified to (/ (cbrt (* (/ i (+ beta (fma i 2 alpha))) (/ (+ i (+ beta alpha)) (+ beta (fma i 2 alpha))))) (cbrt (/ (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (* beta beta) 1.0)) (fma i (+ i (+ beta alpha)) (* beta alpha)))))
* * * * [misc]progress:  [ 52 / 116 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (cube (/ (cbrt (* (/ i (+ (fma i 2 alpha) beta)) (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)))) (/ (cbrt (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0))) (cbrt (fma i (+ (+ alpha i) beta) (* alpha beta)))))))>
* [enter]simplify:  Simplifying (/ (cbrt (* (/ i (+ (fma i 2 alpha) beta)) (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)))) (/ (cbrt (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0))) (cbrt (fma i (+ (+ alpha i) beta) (* alpha beta)))))
* * [misc]simplify:  iters left: 6 (23 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (60 enodes)
* * [misc]simplify:  iters left: 3 (112 enodes)
* * [misc]simplify:  iters left: 2 (186 enodes)
* * [misc]simplify:  iters left: 1 (236 enodes)
* [exit]simplify:  Simplified to (* (cbrt (* (/ i (+ beta (fma i 2 alpha))) (/ (+ alpha (+ beta i)) (+ beta (fma i 2 alpha))))) (/ (cbrt (fma i (+ alpha (+ beta i)) (* beta alpha))) (cbrt (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (* beta beta) 1.0)))))
* [exit]simplify:  Simplified to (* (cbrt (* (/ i (+ beta (fma i 2 alpha))) (/ (+ alpha (+ beta i)) (+ beta (fma i 2 alpha))))) (/ (cbrt (fma i (+ alpha (+ beta i)) (* beta alpha))) (cbrt (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (* beta beta) 1.0)))))
* * * * [misc]progress:  [ 53 / 116 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (cube (/ (* (cbrt (/ i (+ (fma i 2 alpha) beta))) (cbrt (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)))) (cbrt (/ (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) (fma i (+ (+ alpha i) beta) (* alpha beta)))))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (/ i (+ (fma i 2 alpha) beta))) (cbrt (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)))) (cbrt (/ (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) (fma i (+ (+ alpha i) beta) (* alpha beta)))))
* * [misc]simplify:  iters left: 6 (23 enodes)
* * [misc]simplify:  iters left: 5 (32 enodes)
* * [misc]simplify:  iters left: 4 (37 enodes)
* * [misc]simplify:  iters left: 3 (44 enodes)
* * [misc]simplify:  iters left: 2 (48 enodes)
* * [misc]simplify:  iters left: 1 (49 enodes)
* [exit]simplify:  Simplified to (/ (* (cbrt (/ i (+ beta (fma i 2 alpha)))) (cbrt (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))))) (cbrt (/ (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (* beta beta) 1.0)) (fma i (+ (+ beta alpha) i) (* beta alpha)))))
* [exit]simplify:  Simplified to (/ (* (cbrt (/ i (+ beta (fma i 2 alpha)))) (cbrt (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))))) (cbrt (/ (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (* beta beta) 1.0)) (fma i (+ (+ beta alpha) i) (* beta alpha)))))
* * * * [misc]progress:  [ 54 / 116 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (cube (/ (* (cbrt (/ i (+ (fma i 2 alpha) beta))) (cbrt (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)))) (/ (cbrt (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0))) (cbrt (fma i (+ (+ alpha i) beta) (* alpha beta)))))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (/ i (+ (fma i 2 alpha) beta))) (cbrt (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)))) (/ (cbrt (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0))) (cbrt (fma i (+ (+ alpha i) beta) (* alpha beta)))))
* * [misc]simplify:  iters left: 6 (24 enodes)
* * [misc]simplify:  iters left: 5 (33 enodes)
* * [misc]simplify:  iters left: 4 (42 enodes)
* * [misc]simplify:  iters left: 3 (58 enodes)
* * [misc]simplify:  iters left: 2 (75 enodes)
* * [misc]simplify:  iters left: 1 (85 enodes)
* [exit]simplify:  Simplified to (* (* (cbrt (/ (+ beta (+ i alpha)) (+ beta (fma i 2 alpha)))) (cbrt (fma i (+ beta (+ i alpha)) (* beta alpha)))) (/ (cbrt (/ i (+ beta (fma i 2 alpha)))) (cbrt (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (* beta beta) 1.0)))))
* [exit]simplify:  Simplified to (* (* (cbrt (/ (+ beta (+ i alpha)) (+ beta (fma i 2 alpha)))) (cbrt (fma i (+ beta (+ i alpha)) (* beta alpha)))) (/ (cbrt (/ i (+ beta (fma i 2 alpha)))) (cbrt (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (* beta beta) 1.0)))))
* * * * [misc]progress:  [ 55 / 116 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (cube (/ (* (cbrt (/ i (+ (fma i 2 alpha) beta))) (/ (cbrt (+ (+ alpha i) beta)) (cbrt (+ (fma i 2 alpha) beta)))) (cbrt (/ (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) (fma i (+ (+ alpha i) beta) (* alpha beta)))))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (/ i (+ (fma i 2 alpha) beta))) (/ (cbrt (+ (+ alpha i) beta)) (cbrt (+ (fma i 2 alpha) beta)))) (cbrt (/ (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) (fma i (+ (+ alpha i) beta) (* alpha beta)))))
* * [misc]simplify:  iters left: 6 (24 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (44 enodes)
* * [misc]simplify:  iters left: 3 (60 enodes)
* * [misc]simplify:  iters left: 2 (70 enodes)
* * [misc]simplify:  iters left: 1 (79 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (/ i (+ beta (fma i 2 alpha)))) (/ (cbrt (+ beta (fma i 2 alpha))) (cbrt (+ beta (+ i alpha))))) (cbrt (/ (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (* beta beta) 1.0)) (fma i (+ beta (+ i alpha)) (* beta alpha)))))
* [exit]simplify:  Simplified to (/ (/ (cbrt (/ i (+ beta (fma i 2 alpha)))) (/ (cbrt (+ beta (fma i 2 alpha))) (cbrt (+ beta (+ i alpha))))) (cbrt (/ (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (* beta beta) 1.0)) (fma i (+ beta (+ i alpha)) (* beta alpha)))))
* * * * [misc]progress:  [ 56 / 116 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (cube (/ (* (cbrt (/ i (+ (fma i 2 alpha) beta))) (/ (cbrt (+ (+ alpha i) beta)) (cbrt (+ (fma i 2 alpha) beta)))) (/ (cbrt (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0))) (cbrt (fma i (+ (+ alpha i) beta) (* alpha beta)))))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (/ i (+ (fma i 2 alpha) beta))) (/ (cbrt (+ (+ alpha i) beta)) (cbrt (+ (fma i 2 alpha) beta)))) (/ (cbrt (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0))) (cbrt (fma i (+ (+ alpha i) beta) (* alpha beta)))))
* * [misc]simplify:  iters left: 6 (25 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (49 enodes)
* * [misc]simplify:  iters left: 3 (79 enodes)
* * [misc]simplify:  iters left: 2 (122 enodes)
* * [misc]simplify:  iters left: 1 (162 enodes)
* [exit]simplify:  Simplified to (/ (* (cbrt (/ i (+ beta (fma i 2 alpha)))) (cbrt (fma i (+ beta (+ i alpha)) (* beta alpha)))) (* (/ (cbrt (+ beta (fma i 2 alpha))) (cbrt (+ beta (+ i alpha)))) (cbrt (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (* beta beta) 1.0)))))
* [exit]simplify:  Simplified to (/ (* (cbrt (/ i (+ beta (fma i 2 alpha)))) (cbrt (fma i (+ beta (+ i alpha)) (* beta alpha)))) (* (/ (cbrt (+ beta (fma i 2 alpha))) (cbrt (+ beta (+ i alpha)))) (cbrt (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (* beta beta) 1.0)))))
* * * * [misc]progress:  [ 57 / 116 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (sqr (sqrt (/ (* (/ i (+ (fma i 2 alpha) beta)) (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta))) (/ (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) (fma i (+ (+ alpha i) beta) (* alpha beta)))))))>
* [enter]simplify:  Simplifying (sqrt (/ (* (/ i (+ (fma i 2 alpha) beta)) (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta))) (/ (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) (fma i (+ (+ alpha i) beta) (* alpha beta)))))
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (34 enodes)
* * [misc]simplify:  iters left: 4 (63 enodes)
* * [misc]simplify:  iters left: 3 (151 enodes)
* * [misc]simplify:  iters left: 2 (323 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (/ (fma i (+ i (+ beta alpha)) (* beta alpha)) (/ (+ beta (fma i 2 alpha)) (+ i (+ beta alpha)))) (/ (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (* beta beta) 1.0)) (/ i (+ beta (fma i 2 alpha))))))
* [exit]simplify:  Simplified to (sqrt (/ (/ (fma i (+ i (+ beta alpha)) (* beta alpha)) (/ (+ beta (fma i 2 alpha)) (+ i (+ beta alpha)))) (/ (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (* beta beta) 1.0)) (/ i (+ beta (fma i 2 alpha))))))
* * * * [misc]progress:  [ 58 / 116 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (sqr (/ (sqrt (* (/ i (+ (fma i 2 alpha) beta)) (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)))) (sqrt (/ (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) (fma i (+ (+ alpha i) beta) (* alpha beta)))))))>
* [enter]simplify:  Simplifying (/ (sqrt (* (/ i (+ (fma i 2 alpha) beta)) (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)))) (sqrt (/ (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) (fma i (+ (+ alpha i) beta) (* alpha beta)))))
* * [misc]simplify:  iters left: 6 (22 enodes)
* * [misc]simplify:  iters left: 5 (33 enodes)
* * [misc]simplify:  iters left: 4 (54 enodes)
* * [misc]simplify:  iters left: 3 (111 enodes)
* * [misc]simplify:  iters left: 2 (182 enodes)
* * [misc]simplify:  iters left: 1 (270 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (* (/ i (+ beta (fma i 2 alpha))) (/ (+ i (+ beta alpha)) (+ beta (fma i 2 alpha))))) (sqrt (/ (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (* beta beta) 1.0)) (fma i (+ i (+ beta alpha)) (* beta alpha)))))
* [exit]simplify:  Simplified to (/ (sqrt (* (/ i (+ beta (fma i 2 alpha))) (/ (+ i (+ beta alpha)) (+ beta (fma i 2 alpha))))) (sqrt (/ (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (* beta beta) 1.0)) (fma i (+ i (+ beta alpha)) (* beta alpha)))))
* * * * [misc]progress:  [ 59 / 116 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (sqr (/ (sqrt (* (/ i (+ (fma i 2 alpha) beta)) (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)))) (/ (sqrt (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0))) (sqrt (fma i (+ (+ alpha i) beta) (* alpha beta)))))))>
* [enter]simplify:  Simplifying (/ (sqrt (* (/ i (+ (fma i 2 alpha) beta)) (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)))) (/ (sqrt (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0))) (sqrt (fma i (+ (+ alpha i) beta) (* alpha beta)))))
* * [misc]simplify:  iters left: 6 (23 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (60 enodes)
* * [misc]simplify:  iters left: 3 (112 enodes)
* * [misc]simplify:  iters left: 2 (186 enodes)
* * [misc]simplify:  iters left: 1 (236 enodes)
* [exit]simplify:  Simplified to (* (sqrt (* (/ i (+ beta (fma i 2 alpha))) (/ (+ alpha (+ beta i)) (+ beta (fma i 2 alpha))))) (/ (sqrt (fma i (+ alpha (+ beta i)) (* beta alpha))) (sqrt (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (* beta beta) 1.0)))))
* [exit]simplify:  Simplified to (* (sqrt (* (/ i (+ beta (fma i 2 alpha))) (/ (+ alpha (+ beta i)) (+ beta (fma i 2 alpha))))) (/ (sqrt (fma i (+ alpha (+ beta i)) (* beta alpha))) (sqrt (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (* beta beta) 1.0)))))
* * * * [misc]progress:  [ 60 / 116 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (sqr (/ (* (sqrt (/ i (+ (fma i 2 alpha) beta))) (sqrt (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)))) (sqrt (/ (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) (fma i (+ (+ alpha i) beta) (* alpha beta)))))))>
* [enter]simplify:  Simplifying (/ (* (sqrt (/ i (+ (fma i 2 alpha) beta))) (sqrt (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)))) (sqrt (/ (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) (fma i (+ (+ alpha i) beta) (* alpha beta)))))
* * [misc]simplify:  iters left: 6 (23 enodes)
* * [misc]simplify:  iters left: 5 (32 enodes)
* * [misc]simplify:  iters left: 4 (37 enodes)
* * [misc]simplify:  iters left: 3 (44 enodes)
* * [misc]simplify:  iters left: 2 (48 enodes)
* * [misc]simplify:  iters left: 1 (49 enodes)
* [exit]simplify:  Simplified to (/ (* (sqrt (/ i (+ beta (fma i 2 alpha)))) (sqrt (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))))) (sqrt (/ (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (* beta beta) 1.0)) (fma i (+ (+ beta alpha) i) (* beta alpha)))))
* [exit]simplify:  Simplified to (/ (* (sqrt (/ i (+ beta (fma i 2 alpha)))) (sqrt (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))))) (sqrt (/ (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (* beta beta) 1.0)) (fma i (+ (+ beta alpha) i) (* beta alpha)))))
* * * * [misc]progress:  [ 61 / 116 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (sqr (/ (* (sqrt (/ i (+ (fma i 2 alpha) beta))) (sqrt (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)))) (/ (sqrt (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0))) (sqrt (fma i (+ (+ alpha i) beta) (* alpha beta)))))))>
* [enter]simplify:  Simplifying (/ (* (sqrt (/ i (+ (fma i 2 alpha) beta))) (sqrt (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)))) (/ (sqrt (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0))) (sqrt (fma i (+ (+ alpha i) beta) (* alpha beta)))))
* * [misc]simplify:  iters left: 6 (24 enodes)
* * [misc]simplify:  iters left: 5 (33 enodes)
* * [misc]simplify:  iters left: 4 (42 enodes)
* * [misc]simplify:  iters left: 3 (58 enodes)
* * [misc]simplify:  iters left: 2 (75 enodes)
* * [misc]simplify:  iters left: 1 (85 enodes)
* [exit]simplify:  Simplified to (* (* (sqrt (/ (+ beta (+ i alpha)) (+ beta (fma i 2 alpha)))) (sqrt (fma i (+ beta (+ i alpha)) (* beta alpha)))) (/ (sqrt (/ i (+ beta (fma i 2 alpha)))) (sqrt (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (* beta beta) 1.0)))))
* [exit]simplify:  Simplified to (* (* (sqrt (/ (+ beta (+ i alpha)) (+ beta (fma i 2 alpha)))) (sqrt (fma i (+ beta (+ i alpha)) (* beta alpha)))) (/ (sqrt (/ i (+ beta (fma i 2 alpha)))) (sqrt (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (* beta beta) 1.0)))))
* * * * [misc]progress:  [ 62 / 116 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (sqr (/ (* (sqrt (/ i (+ (fma i 2 alpha) beta))) (/ (sqrt (+ (+ alpha i) beta)) (sqrt (+ (fma i 2 alpha) beta)))) (sqrt (/ (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) (fma i (+ (+ alpha i) beta) (* alpha beta)))))))>
* [enter]simplify:  Simplifying (/ (* (sqrt (/ i (+ (fma i 2 alpha) beta))) (/ (sqrt (+ (+ alpha i) beta)) (sqrt (+ (fma i 2 alpha) beta)))) (sqrt (/ (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) (fma i (+ (+ alpha i) beta) (* alpha beta)))))
* * [misc]simplify:  iters left: 6 (24 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (44 enodes)
* * [misc]simplify:  iters left: 3 (60 enodes)
* * [misc]simplify:  iters left: 2 (70 enodes)
* * [misc]simplify:  iters left: 1 (79 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (/ i (+ beta (fma i 2 alpha)))) (/ (sqrt (+ beta (fma i 2 alpha))) (sqrt (+ beta (+ i alpha))))) (sqrt (/ (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (* beta beta) 1.0)) (fma i (+ beta (+ i alpha)) (* beta alpha)))))
* [exit]simplify:  Simplified to (/ (/ (sqrt (/ i (+ beta (fma i 2 alpha)))) (/ (sqrt (+ beta (fma i 2 alpha))) (sqrt (+ beta (+ i alpha))))) (sqrt (/ (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (* beta beta) 1.0)) (fma i (+ beta (+ i alpha)) (* beta alpha)))))
* * * * [misc]progress:  [ 63 / 116 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (sqr (/ (* (sqrt (/ i (+ (fma i 2 alpha) beta))) (/ (sqrt (+ (+ alpha i) beta)) (sqrt (+ (fma i 2 alpha) beta)))) (/ (sqrt (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0))) (sqrt (fma i (+ (+ alpha i) beta) (* alpha beta)))))))>
* [enter]simplify:  Simplifying (/ (* (sqrt (/ i (+ (fma i 2 alpha) beta))) (/ (sqrt (+ (+ alpha i) beta)) (sqrt (+ (fma i 2 alpha) beta)))) (/ (sqrt (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0))) (sqrt (fma i (+ (+ alpha i) beta) (* alpha beta)))))
* * [misc]simplify:  iters left: 6 (25 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (49 enodes)
* * [misc]simplify:  iters left: 3 (79 enodes)
* * [misc]simplify:  iters left: 2 (122 enodes)
* * [misc]simplify:  iters left: 1 (162 enodes)
* [exit]simplify:  Simplified to (/ (* (sqrt (/ i (+ beta (fma i 2 alpha)))) (sqrt (fma i (+ beta (+ i alpha)) (* beta alpha)))) (* (/ (sqrt (+ beta (fma i 2 alpha))) (sqrt (+ beta (+ i alpha)))) (sqrt (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (* beta beta) 1.0)))))
* [exit]simplify:  Simplified to (/ (* (sqrt (/ i (+ beta (fma i 2 alpha)))) (sqrt (fma i (+ beta (+ i alpha)) (* beta alpha)))) (* (/ (sqrt (+ beta (fma i 2 alpha))) (sqrt (+ beta (+ i alpha)))) (sqrt (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (* beta beta) 1.0)))))
* * * * [misc]progress:  [ 64 / 116 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (- (* (/ i (+ (fma i 2 alpha) beta)) (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)))) (- (/ (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) (fma i (+ (+ alpha i) beta) (* alpha beta))))))>
* [enter]simplify:  Simplifying (- (* (/ i (+ (fma i 2 alpha) beta)) (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (25 enodes)
* * [misc]simplify:  iters left: 4 (55 enodes)
* * [misc]simplify:  iters left: 3 (123 enodes)
* * [misc]simplify:  iters left: 2 (235 enodes)
* * [misc]simplify:  iters left: 1 (402 enodes)
* [exit]simplify:  Simplified to (* (/ (+ alpha (+ beta i)) (+ beta (fma i 2 alpha))) (/ (- i) (+ beta (fma i 2 alpha))))
* [exit]simplify:  Simplified to (* (/ (+ alpha (+ beta i)) (+ beta (fma i 2 alpha))) (/ (- i) (+ beta (fma i 2 alpha))))
* [enter]simplify:  Simplifying (- (/ (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) (fma i (+ (+ alpha i) beta) (* alpha beta))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (26 enodes)
* * [misc]simplify:  iters left: 3 (30 enodes)
* * [misc]simplify:  iters left: 2 (32 enodes)
* [exit]simplify:  Simplified to (- (/ (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (* beta beta) 1.0)) (fma i (+ (+ beta i) alpha) (* beta alpha))))
* [exit]simplify:  Simplified to (- (/ (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (* beta beta) 1.0)) (fma i (+ (+ beta i) alpha) (* beta alpha))))
* * * * [misc]progress:  [ 65 / 116 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (/ (/ i (+ (fma i 2 alpha) beta)) (/ 1 1)) (/ (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) (fma i (+ (+ alpha i) beta) (* alpha beta))))))>
* [enter]simplify:  Simplifying (/ (/ i (+ (fma i 2 alpha) beta)) (/ 1 1))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* * [misc]simplify:  iters left: 3 (31 enodes)
* * [misc]simplify:  iters left: 2 (37 enodes)
* * [misc]simplify:  iters left: 1 (42 enodes)
* [exit]simplify:  Simplified to (/ i (+ (fma i 2 alpha) beta))
* [exit]simplify:  Simplified to (/ i (+ (fma i 2 alpha) beta))
* [enter]simplify:  Simplifying (/ (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) (fma i (+ (+ alpha i) beta) (* alpha beta))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (28 enodes)
* * [misc]simplify:  iters left: 4 (48 enodes)
* * [misc]simplify:  iters left: 3 (80 enodes)
* * [misc]simplify:  iters left: 2 (137 enodes)
* * [misc]simplify:  iters left: 1 (178 enodes)
* [exit]simplify:  Simplified to (/ (/ (fma i (+ (+ i beta) alpha) (* alpha beta)) (/ (+ (fma i 2 alpha) beta) (+ (+ i beta) alpha))) (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (* beta beta) 1.0)))
* [exit]simplify:  Simplified to (/ (/ (fma i (+ (+ i beta) alpha) (* alpha beta)) (/ (+ (fma i 2 alpha) beta) (+ (+ i beta) alpha))) (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (* beta beta) 1.0)))
* * * * [misc]progress:  [ 66 / 116 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (/ (/ i (+ (fma i 2 alpha) beta)) 1) (/ (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) (fma i (+ (+ alpha i) beta) (* alpha beta))))))>
* [enter]simplify:  Simplifying (/ (/ i (+ (fma i 2 alpha) beta)) 1)
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (19 enodes)
* * [misc]simplify:  iters left: 3 (27 enodes)
* * [misc]simplify:  iters left: 2 (33 enodes)
* * [misc]simplify:  iters left: 1 (38 enodes)
* [exit]simplify:  Simplified to (/ i (+ beta (fma i 2 alpha)))
* [exit]simplify:  Simplified to (/ i (+ beta (fma i 2 alpha)))
* [enter]simplify:  Simplifying (/ (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) (fma i (+ (+ alpha i) beta) (* alpha beta))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (28 enodes)
* * [misc]simplify:  iters left: 4 (48 enodes)
* * [misc]simplify:  iters left: 3 (80 enodes)
* * [misc]simplify:  iters left: 2 (137 enodes)
* * [misc]simplify:  iters left: 1 (178 enodes)
* [exit]simplify:  Simplified to (/ (/ (fma i (+ (+ i beta) alpha) (* alpha beta)) (/ (+ (fma i 2 alpha) beta) (+ (+ i beta) alpha))) (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (* beta beta) 1.0)))
* [exit]simplify:  Simplified to (/ (/ (fma i (+ (+ i beta) alpha) (* alpha beta)) (/ (+ (fma i 2 alpha) beta) (+ (+ i beta) alpha))) (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (* beta beta) 1.0)))
* * * * [misc]progress:  [ 67 / 116 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (/ (/ i (+ (fma i 2 alpha) beta)) (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0))) (/ (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ 1 (fma i (+ (+ alpha i) beta) (* alpha beta))))))>
* [enter]simplify:  Simplifying (/ (/ i (+ (fma i 2 alpha) beta)) (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  iters left: 4 (28 enodes)
* * [misc]simplify:  iters left: 3 (32 enodes)
* [exit]simplify:  Simplified to (/ (/ i (+ beta (fma i 2 alpha))) (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (* beta beta) 1.0)))
* [exit]simplify:  Simplified to (/ (/ i (+ beta (fma i 2 alpha))) (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (* beta beta) 1.0)))
* [enter]simplify:  Simplifying (/ (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (/ 1 (fma i (+ (+ alpha i) beta) (* alpha beta))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (25 enodes)
* * [misc]simplify:  iters left: 4 (45 enodes)
* * [misc]simplify:  iters left: 3 (67 enodes)
* * [misc]simplify:  iters left: 2 (90 enodes)
* * [misc]simplify:  iters left: 1 (113 enodes)
* [exit]simplify:  Simplified to (* (fma i (+ (+ beta alpha) i) (* alpha beta)) (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))))
* [exit]simplify:  Simplified to (* (fma i (+ (+ beta alpha) i) (* alpha beta)) (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))))
* * * * [misc]progress:  [ 68 / 116 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* 1 (/ (* (/ i (+ (fma i 2 alpha) beta)) (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta))) (/ (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) (fma i (+ (+ alpha i) beta) (* alpha beta))))))>
* * * * [misc]progress:  [ 69 / 116 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (* (/ i (+ (fma i 2 alpha) beta)) (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta))) (/ 1 (/ (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) (fma i (+ (+ alpha i) beta) (* alpha beta))))))>
* [enter]simplify:  Simplifying (/ 1 (/ (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) (fma i (+ (+ alpha i) beta) (* alpha beta))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (26 enodes)
* * [misc]simplify:  iters left: 4 (32 enodes)
* * [misc]simplify:  iters left: 3 (42 enodes)
* * [misc]simplify:  iters left: 2 (44 enodes)
* * [misc]simplify:  iters left: 1 (46 enodes)
* [exit]simplify:  Simplified to (/ (fma i (+ (+ i alpha) beta) (* alpha beta)) (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (* beta beta) 1.0)))
* [exit]simplify:  Simplified to (/ (fma i (+ (+ i alpha) beta) (* alpha beta)) (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (* beta beta) 1.0)))
* * * * [misc]progress:  [ 70 / 116 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ 1 (/ (/ (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) (fma i (+ (+ alpha i) beta) (* alpha beta))) (* (/ i (+ (fma i 2 alpha) beta)) (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta))))))>
* [enter]simplify:  Simplifying (/ (/ (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) (fma i (+ (+ alpha i) beta) (* alpha beta))) (* (/ i (+ (fma i 2 alpha) beta)) (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (33 enodes)
* * [misc]simplify:  iters left: 4 (58 enodes)
* * [misc]simplify:  iters left: 3 (127 enodes)
* * [misc]simplify:  iters left: 2 (238 enodes)
* * [misc]simplify:  iters left: 1 (382 enodes)
* [exit]simplify:  Simplified to (/ (/ (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (* beta beta) 1.0)) (fma i (+ alpha (+ beta i)) (* beta alpha))) (/ (/ (+ alpha (+ beta i)) (+ beta (fma i 2 alpha))) (/ (+ beta (fma i 2 alpha)) i)))
* [exit]simplify:  Simplified to (/ (/ (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (* beta beta) 1.0)) (fma i (+ alpha (+ beta i)) (* beta alpha))) (/ (/ (+ alpha (+ beta i)) (+ beta (fma i 2 alpha))) (/ (+ beta (fma i 2 alpha)) i)))
* * * * [misc]progress:  [ 71 / 116 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (/ (* (/ i (+ (fma i 2 alpha) beta)) (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta))) (/ 1 1)) (/ (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) (fma i (+ (+ alpha i) beta) (* alpha beta)))))>
* [enter]simplify:  Simplifying (/ (* (/ i (+ (fma i 2 alpha) beta)) (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta))) (/ 1 1))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (52 enodes)
* * [misc]simplify:  iters left: 3 (119 enodes)
* * [misc]simplify:  iters left: 2 (228 enodes)
* * [misc]simplify:  iters left: 1 (438 enodes)
* [exit]simplify:  Simplified to (* (/ (+ alpha (+ beta i)) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta)))
* [exit]simplify:  Simplified to (* (/ (+ alpha (+ beta i)) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta)))
* * * * [misc]progress:  [ 72 / 116 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (/ (* (/ i (+ (fma i 2 alpha) beta)) (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta))) 1) (/ (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) (fma i (+ (+ alpha i) beta) (* alpha beta)))))>
* [enter]simplify:  Simplifying (/ (* (/ i (+ (fma i 2 alpha) beta)) (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta))) 1)
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (26 enodes)
* * [misc]simplify:  iters left: 4 (51 enodes)
* * [misc]simplify:  iters left: 3 (125 enodes)
* * [misc]simplify:  iters left: 2 (234 enodes)
* * [misc]simplify:  iters left: 1 (440 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (+ beta i) alpha) (+ beta (fma i 2 alpha))) (/ (+ beta (fma i 2 alpha)) i))
* [exit]simplify:  Simplified to (/ (/ (+ (+ beta i) alpha) (+ beta (fma i 2 alpha))) (/ (+ beta (fma i 2 alpha)) i))
* * * * [misc]progress:  [ 73 / 116 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (/ (* (/ i (+ (fma i 2 alpha) beta)) (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta))) (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0))) (/ 1 (fma i (+ (+ alpha i) beta) (* alpha beta)))))>
* [enter]simplify:  Simplifying (/ (* (/ i (+ (fma i 2 alpha) beta)) (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta))) (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (29 enodes)
* * [misc]simplify:  iters left: 4 (54 enodes)
* * [misc]simplify:  iters left: 3 (121 enodes)
* * [misc]simplify:  iters left: 2 (244 enodes)
* * [misc]simplify:  iters left: 1 (390 enodes)
* [exit]simplify:  Simplified to (* (/ (+ (+ beta i) alpha) (+ beta (fma i 2 alpha))) (/ (/ i (+ beta (fma i 2 alpha))) (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (* beta beta) 1.0))))
* [exit]simplify:  Simplified to (* (/ (+ (+ beta i) alpha) (+ beta (fma i 2 alpha))) (/ (/ i (+ beta (fma i 2 alpha))) (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (* beta beta) 1.0))))
* * * * [misc]progress:  [ 74 / 116 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (/ i (+ (fma i 2 alpha) beta)) (/ (/ (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) (fma i (+ (+ alpha i) beta) (* alpha beta))) (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)))))>
* [enter]simplify:  Simplifying (/ (/ (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) (fma i (+ (+ alpha i) beta) (* alpha beta))) (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (28 enodes)
* * [misc]simplify:  iters left: 4 (48 enodes)
* * [misc]simplify:  iters left: 3 (88 enodes)
* * [misc]simplify:  iters left: 2 (187 enodes)
* * [misc]simplify:  iters left: 1 (279 enodes)
* [exit]simplify:  Simplified to (/ (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (* beta beta) 1.0)) (/ (fma i (+ (+ beta i) alpha) (* beta alpha)) (/ (+ beta (fma i 2 alpha)) (+ (+ beta i) alpha))))
* [exit]simplify:  Simplified to (/ (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (* beta beta) 1.0)) (/ (fma i (+ (+ beta i) alpha) (* beta alpha)) (/ (+ beta (fma i 2 alpha)) (+ (+ beta i) alpha))))
* * * * [misc]progress:  [ 75 / 116 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (/ (* (/ i (+ (fma i 2 alpha) beta)) (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta))) (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0))) (fma i (+ (+ alpha i) beta) (* alpha beta))))>
* [enter]simplify:  Simplifying (/ (* (/ i (+ (fma i 2 alpha) beta)) (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta))) (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (29 enodes)
* * [misc]simplify:  iters left: 4 (54 enodes)
* * [misc]simplify:  iters left: 3 (121 enodes)
* * [misc]simplify:  iters left: 2 (244 enodes)
* * [misc]simplify:  iters left: 1 (390 enodes)
* [exit]simplify:  Simplified to (* (/ (+ (+ beta i) alpha) (+ beta (fma i 2 alpha))) (/ (/ i (+ beta (fma i 2 alpha))) (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (* beta beta) 1.0))))
* [exit]simplify:  Simplified to (* (/ (+ (+ beta i) alpha) (+ beta (fma i 2 alpha))) (/ (/ i (+ beta (fma i 2 alpha))) (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (* beta beta) 1.0))))
* * * * [misc]progress:  [ 76 / 116 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (* i (+ (+ alpha i) beta)) (* (/ (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) (fma i (+ (+ alpha i) beta) (* alpha beta))) (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)))))>
* [enter]simplify:  Simplifying (* (/ (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) (fma i (+ (+ alpha i) beta) (* alpha beta))) (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (82 enodes)
* * [misc]simplify:  iters left: 3 (200 enodes)
* * [misc]simplify:  iters left: 2 (402 enodes)
* [exit]simplify:  Simplified to (/ (* (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (* beta beta) 1.0)) (+ beta (fma i 2 alpha))) (/ (fma i (+ (+ beta alpha) i) (* beta alpha)) (+ beta (fma i 2 alpha))))
* [exit]simplify:  Simplified to (/ (* (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (* beta beta) 1.0)) (+ beta (fma i 2 alpha))) (/ (fma i (+ (+ beta alpha) i) (* beta alpha)) (+ beta (fma i 2 alpha))))
* * * * [misc]progress:  [ 77 / 116 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (* (/ i (+ (fma i 2 alpha) beta)) (+ (+ alpha i) beta)) (* (/ (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) (fma i (+ (+ alpha i) beta) (* alpha beta))) (+ (fma i 2 alpha) beta))))>
* [enter]simplify:  Simplifying (* (/ (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) (fma i (+ (+ alpha i) beta) (* alpha beta))) (+ (fma i 2 alpha) beta))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (32 enodes)
* * [misc]simplify:  iters left: 4 (53 enodes)
* * [misc]simplify:  iters left: 3 (73 enodes)
* * [misc]simplify:  iters left: 2 (81 enodes)
* * [misc]simplify:  iters left: 1 (89 enodes)
* [exit]simplify:  Simplified to (* (+ beta (fma i 2 alpha)) (/ (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (* beta beta) 1.0)) (fma i (+ (+ beta alpha) i) (* beta alpha))))
* [exit]simplify:  Simplified to (* (+ beta (fma i 2 alpha)) (/ (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (* beta beta) 1.0)) (fma i (+ (+ beta alpha) i) (* beta alpha))))
* * * * [misc]progress:  [ 78 / 116 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (* i (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta))) (* (/ (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) (fma i (+ (+ alpha i) beta) (* alpha beta))) (+ (fma i 2 alpha) beta))))>
* [enter]simplify:  Simplifying (* (/ (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) (fma i (+ (+ alpha i) beta) (* alpha beta))) (+ (fma i 2 alpha) beta))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (32 enodes)
* * [misc]simplify:  iters left: 4 (53 enodes)
* * [misc]simplify:  iters left: 3 (73 enodes)
* * [misc]simplify:  iters left: 2 (81 enodes)
* * [misc]simplify:  iters left: 1 (89 enodes)
* [exit]simplify:  Simplified to (* (+ beta (fma i 2 alpha)) (/ (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (* beta beta) 1.0)) (fma i (+ (+ beta alpha) i) (* beta alpha))))
* [exit]simplify:  Simplified to (* (+ beta (fma i 2 alpha)) (/ (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (* beta beta) 1.0)) (fma i (+ (+ beta alpha) i) (* beta alpha))))
* * * * [misc]progress:  [ 79 / 116 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (* (/ i (+ (fma i 2 alpha) beta)) (log1p (expm1 (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta))))) (/ (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) (fma i (+ (+ alpha i) beta) (* alpha beta)))))>
* [enter]simplify:  Simplifying (expm1 (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (17 enodes)
* * [misc]simplify:  iters left: 3 (21 enodes)
* * [misc]simplify:  iters left: 2 (23 enodes)
* [exit]simplify:  Simplified to (expm1 (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)))
* [exit]simplify:  Simplified to (expm1 (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)))
* * * * [misc]progress:  [ 80 / 116 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (* (/ i (+ (fma i 2 alpha) beta)) (expm1 (log1p (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta))))) (/ (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) (fma i (+ (+ alpha i) beta) (* alpha beta)))))>
* [enter]simplify:  Simplifying (log1p (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (17 enodes)
* * [misc]simplify:  iters left: 3 (21 enodes)
* * [misc]simplify:  iters left: 2 (23 enodes)
* [exit]simplify:  Simplified to (log1p (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)))
* [exit]simplify:  Simplified to (log1p (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)))
* * * * [misc]progress:  [ 81 / 116 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (* (/ i (+ (fma i 2 alpha) beta)) (pow (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) 1)) (/ (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) (fma i (+ (+ alpha i) beta) (* alpha beta)))))>
* * * * [misc]progress:  [ 82 / 116 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (* (/ i (+ (fma i 2 alpha) beta)) (exp (- (log (+ (+ alpha i) beta)) (log (+ (fma i 2 alpha) beta))))) (/ (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) (fma i (+ (+ alpha i) beta) (* alpha beta)))))>
* [enter]simplify:  Simplifying (- (log (+ (+ alpha i) beta)) (log (+ (fma i 2 alpha) beta)))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (18 enodes)
* * [misc]simplify:  iters left: 3 (22 enodes)
* * [misc]simplify:  iters left: 2 (24 enodes)
* [exit]simplify:  Simplified to (- (log (+ (+ alpha i) beta)) (log (+ beta (fma i 2 alpha))))
* [exit]simplify:  Simplified to (- (log (+ (+ alpha i) beta)) (log (+ beta (fma i 2 alpha))))
* * * * [misc]progress:  [ 83 / 116 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (* (/ i (+ (fma i 2 alpha) beta)) (exp (log (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta))))) (/ (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) (fma i (+ (+ alpha i) beta) (* alpha beta)))))>
* [enter]simplify:  Simplifying (log (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* * [misc]simplify:  iters left: 3 (24 enodes)
* * [misc]simplify:  iters left: 2 (26 enodes)
* [exit]simplify:  Simplified to (log (/ (+ i (+ beta alpha)) (+ (fma i 2 alpha) beta)))
* [exit]simplify:  Simplified to (log (/ (+ i (+ beta alpha)) (+ (fma i 2 alpha) beta)))
* * * * [misc]progress:  [ 84 / 116 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (* (/ i (+ (fma i 2 alpha) beta)) (log (exp (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta))))) (/ (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) (fma i (+ (+ alpha i) beta) (* alpha beta)))))>
* [enter]simplify:  Simplifying (exp (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (17 enodes)
* * [misc]simplify:  iters left: 3 (21 enodes)
* * [misc]simplify:  iters left: 2 (23 enodes)
* [exit]simplify:  Simplified to (exp (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)))
* [exit]simplify:  Simplified to (exp (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)))
* * * * [misc]progress:  [ 85 / 116 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (* (/ i (+ (fma i 2 alpha) beta)) (cbrt (/ (cube (+ (+ alpha i) beta)) (cube (+ (fma i 2 alpha) beta))))) (/ (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) (fma i (+ (+ alpha i) beta) (* alpha beta)))))>
* [enter]simplify:  Simplifying (/ (cube (+ (+ alpha i) beta)) (cube (+ (fma i 2 alpha) beta)))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* * [misc]simplify:  iters left: 4 (49 enodes)
* * [misc]simplify:  iters left: 3 (186 enodes)
* [exit]simplify:  Simplified to (cube (/ (+ alpha (+ i beta)) (+ beta (fma i 2 alpha))))
* [exit]simplify:  Simplified to (cube (/ (+ alpha (+ i beta)) (+ beta (fma i 2 alpha))))
* * * * [misc]progress:  [ 86 / 116 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (* (/ i (+ (fma i 2 alpha) beta)) (cube (cbrt (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta))))) (/ (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) (fma i (+ (+ alpha i) beta) (* alpha beta)))))>
* [enter]simplify:  Simplifying (cbrt (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (17 enodes)
* * [misc]simplify:  iters left: 3 (21 enodes)
* * [misc]simplify:  iters left: 2 (23 enodes)
* [exit]simplify:  Simplified to (cbrt (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)))
* [exit]simplify:  Simplified to (cbrt (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)))
* * * * [misc]progress:  [ 87 / 116 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (* (/ i (+ (fma i 2 alpha) beta)) (cbrt (cube (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta))))) (/ (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) (fma i (+ (+ alpha i) beta) (* alpha beta)))))>
* [enter]simplify:  Simplifying (cube (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* * [misc]simplify:  iters left: 4 (32 enodes)
* * [misc]simplify:  iters left: 3 (82 enodes)
* * [misc]simplify:  iters left: 2 (286 enodes)
* [exit]simplify:  Simplified to (cube (/ (+ i (+ beta alpha)) (+ (fma i 2 alpha) beta)))
* [exit]simplify:  Simplified to (cube (/ (+ i (+ beta alpha)) (+ (fma i 2 alpha) beta)))
* * * * [misc]progress:  [ 88 / 116 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (* (/ i (+ (fma i 2 alpha) beta)) (cube (/ (cbrt (+ (+ alpha i) beta)) (cbrt (+ (fma i 2 alpha) beta))))) (/ (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) (fma i (+ (+ alpha i) beta) (* alpha beta)))))>
* [enter]simplify:  Simplifying (/ (cbrt (+ (+ alpha i) beta)) (cbrt (+ (fma i 2 alpha) beta)))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (18 enodes)
* * [misc]simplify:  iters left: 3 (22 enodes)
* * [misc]simplify:  iters left: 2 (24 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (+ (+ alpha i) beta)) (cbrt (+ beta (fma i 2 alpha))))
* [exit]simplify:  Simplified to (/ (cbrt (+ (+ alpha i) beta)) (cbrt (+ beta (fma i 2 alpha))))
* * * * [misc]progress:  [ 89 / 116 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (* (/ i (+ (fma i 2 alpha) beta)) (sqr (sqrt (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta))))) (/ (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) (fma i (+ (+ alpha i) beta) (* alpha beta)))))>
* [enter]simplify:  Simplifying (sqrt (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (17 enodes)
* * [misc]simplify:  iters left: 3 (21 enodes)
* * [misc]simplify:  iters left: 2 (23 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)))
* [exit]simplify:  Simplified to (sqrt (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)))
* * * * [misc]progress:  [ 90 / 116 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (* (/ i (+ (fma i 2 alpha) beta)) (sqr (/ (sqrt (+ (+ alpha i) beta)) (sqrt (+ (fma i 2 alpha) beta))))) (/ (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) (fma i (+ (+ alpha i) beta) (* alpha beta)))))>
* [enter]simplify:  Simplifying (/ (sqrt (+ (+ alpha i) beta)) (sqrt (+ (fma i 2 alpha) beta)))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (18 enodes)
* * [misc]simplify:  iters left: 3 (22 enodes)
* * [misc]simplify:  iters left: 2 (24 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (+ (+ alpha i) beta)) (sqrt (+ beta (fma i 2 alpha))))
* [exit]simplify:  Simplified to (/ (sqrt (+ (+ alpha i) beta)) (sqrt (+ beta (fma i 2 alpha))))
* * * * [misc]progress:  [ 91 / 116 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (* (/ i (+ (fma i 2 alpha) beta)) (/ (- (+ (+ alpha i) beta)) (- (+ (fma i 2 alpha) beta)))) (/ (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) (fma i (+ (+ alpha i) beta) (* alpha beta)))))>
* [enter]simplify:  Simplifying (- (+ (+ alpha i) beta))
* * [misc]simplify:  iters left: 6 (6 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* * [misc]simplify:  iters left: 3 (31 enodes)
* * [misc]simplify:  iters left: 2 (39 enodes)
* * [misc]simplify:  iters left: 1 (40 enodes)
* [exit]simplify:  Simplified to (- (+ i (+ beta alpha)))
* [exit]simplify:  Simplified to (- (+ i (+ beta alpha)))
* [enter]simplify:  Simplifying (- (+ (fma i 2 alpha) beta))
* * [misc]simplify:  iters left: 5 (7 enodes)
* * [misc]simplify:  iters left: 4 (11 enodes)
* * [misc]simplify:  iters left: 3 (12 enodes)
* [exit]simplify:  Simplified to (- (+ beta (fma i 2 alpha)))
* [exit]simplify:  Simplified to (- (+ beta (fma i 2 alpha)))
* * * * [misc]progress:  [ 92 / 116 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (* (/ i (+ (fma i 2 alpha) beta)) (* (/ 1 1) (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)))) (/ (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) (fma i (+ (+ alpha i) beta) (* alpha beta)))))>
* [enter]simplify:  Simplifying (/ 1 1)
* * [misc]simplify:  iters left: 2 (2 enodes)
* * [misc]simplify:  iters left: 1 (4 enodes)
* [exit]simplify:  Simplified to 1
* [exit]simplify:  Simplified to 1
* [enter]simplify:  Simplifying (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* * [misc]simplify:  iters left: 4 (16 enodes)
* * [misc]simplify:  iters left: 3 (20 enodes)
* * [misc]simplify:  iters left: 2 (22 enodes)
* [exit]simplify:  Simplified to (/ (+ (+ beta alpha) i) (+ (fma i 2 alpha) beta))
* [exit]simplify:  Simplified to (/ (+ (+ beta alpha) i) (+ (fma i 2 alpha) beta))
* * * * [misc]progress:  [ 93 / 116 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (* (/ i (+ (fma i 2 alpha) beta)) (* 1 (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)))) (/ (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) (fma i (+ (+ alpha i) beta) (* alpha beta)))))>
* * * * [misc]progress:  [ 94 / 116 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (* (/ i (+ (fma i 2 alpha) beta)) (* (+ (+ alpha i) beta) (/ 1 (+ (fma i 2 alpha) beta)))) (/ (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) (fma i (+ (+ alpha i) beta) (* alpha beta)))))>
* [enter]simplify:  Simplifying (/ 1 (+ (fma i 2 alpha) beta))
* * [misc]simplify:  iters left: 5 (8 enodes)
* * [misc]simplify:  iters left: 4 (11 enodes)
* [exit]simplify:  Simplified to (/ 1 (+ beta (fma i 2 alpha)))
* [exit]simplify:  Simplified to (/ 1 (+ beta (fma i 2 alpha)))
* * * * [misc]progress:  [ 95 / 116 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (* (/ i (+ (fma i 2 alpha) beta)) (/ 1 (/ (+ (fma i 2 alpha) beta) (+ (+ alpha i) beta)))) (/ (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) (fma i (+ (+ alpha i) beta) (* alpha beta)))))>
* [enter]simplify:  Simplifying (/ (+ (fma i 2 alpha) beta) (+ (+ alpha i) beta))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* * [misc]simplify:  iters left: 4 (16 enodes)
* * [misc]simplify:  iters left: 3 (20 enodes)
* * [misc]simplify:  iters left: 2 (22 enodes)
* [exit]simplify:  Simplified to (/ (+ beta (fma i 2 alpha)) (+ (+ beta i) alpha))
* [exit]simplify:  Simplified to (/ (+ beta (fma i 2 alpha)) (+ (+ beta i) alpha))
* * * * [misc]progress:  [ 96 / 116 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (* (/ i (+ (fma i 2 alpha) beta)) (/ (/ (+ (+ alpha i) beta) 1) (+ (fma i 2 alpha) beta))) (/ (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) (fma i (+ (+ alpha i) beta) (* alpha beta)))))>
* [enter]simplify:  Simplifying (/ (+ (+ alpha i) beta) 1)
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* * [misc]simplify:  iters left: 4 (15 enodes)
* * [misc]simplify:  iters left: 3 (19 enodes)
* * [misc]simplify:  iters left: 2 (21 enodes)
* [exit]simplify:  Simplified to (/ (+ alpha (+ i beta)) 1)
* [exit]simplify:  Simplified to (/ (+ alpha (+ i beta)) 1)
* * * * [misc]progress:  [ 97 / 116 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (* (/ i (+ (fma i 2 alpha) beta)) (/ 1 (/ (+ (fma i 2 alpha) beta) (+ (+ alpha i) beta)))) (/ (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) (fma i (+ (+ alpha i) beta) (* alpha beta)))))>
* [enter]simplify:  Simplifying (/ (+ (fma i 2 alpha) beta) (+ (+ alpha i) beta))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* * [misc]simplify:  iters left: 4 (16 enodes)
* * [misc]simplify:  iters left: 3 (20 enodes)
* * [misc]simplify:  iters left: 2 (22 enodes)
* [exit]simplify:  Simplified to (/ (+ beta (fma i 2 alpha)) (+ (+ beta i) alpha))
* [exit]simplify:  Simplified to (/ (+ beta (fma i 2 alpha)) (+ (+ beta i) alpha))
* * * * [misc]progress:  [ 98 / 116 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (* (/ i (+ (fma i 2 alpha) beta)) (* (/ (+ (+ alpha i) beta) (- (pow (fma i 2 alpha) 3) (pow beta 3))) (+ (sqr (fma i 2 alpha)) (- (sqr beta) (* (fma i 2 alpha) beta))))) (/ (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) (fma i (+ (+ alpha i) beta) (* alpha beta)))))>
* [enter]simplify:  Simplifying (/ (+ (+ alpha i) beta) (- (pow (fma i 2 alpha) 3) (pow beta 3)))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  iters left: 4 (24 enodes)
* * [misc]simplify:  iters left: 3 (32 enodes)
* * [misc]simplify:  iters left: 2 (34 enodes)
* [exit]simplify:  Simplified to (/ (+ (+ i beta) alpha) (- (cube (fma i 2 alpha)) (cube beta)))
* [exit]simplify:  Simplified to (/ (+ (+ i beta) alpha) (- (cube (fma i 2 alpha)) (cube beta)))
* * * * [misc]progress:  [ 99 / 116 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (* (/ i (+ (fma i 2 alpha) beta)) (* (/ (+ (+ alpha i) beta) (- (sqr (fma i 2 alpha)) (sqr beta))) (- (fma i 2 alpha) beta))) (/ (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) (fma i (+ (+ alpha i) beta) (* alpha beta)))))>
* [enter]simplify:  Simplifying (/ (+ (+ alpha i) beta) (- (sqr (fma i 2 alpha)) (sqr beta)))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* * [misc]simplify:  iters left: 4 (26 enodes)
* * [misc]simplify:  iters left: 3 (38 enodes)
* * [misc]simplify:  iters left: 2 (44 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (- (fma i 2 alpha) beta))
* [exit]simplify:  Simplified to (/ (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (- (fma i 2 alpha) beta))
* * * * [misc]progress:  [ 100 / 116 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (* (/ i (+ (fma i 2 alpha) beta)) (/ (- (pow (+ alpha i) 3) (pow beta 3)) (* (+ (fma i 2 alpha) beta) (+ (sqr (+ alpha i)) (- (sqr beta) (* (+ alpha i) beta)))))) (/ (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) (fma i (+ (+ alpha i) beta) (* alpha beta)))))>
* [enter]simplify:  Simplifying (* (+ (fma i 2 alpha) beta) (+ (sqr (+ alpha i)) (- (sqr beta) (* (+ alpha i) beta))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (28 enodes)
* * [misc]simplify:  iters left: 4 (83 enodes)
* * [misc]simplify:  iters left: 3 (269 enodes)
* [exit]simplify:  Simplified to (* (+ beta (fma i 2 alpha)) (fma beta (- beta (+ i alpha)) (sqr (+ i alpha))))
* [exit]simplify:  Simplified to (* (+ beta (fma i 2 alpha)) (fma beta (- beta (+ i alpha)) (sqr (+ i alpha))))
* * * * [misc]progress:  [ 101 / 116 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (* (/ i (+ (fma i 2 alpha) beta)) (/ (- (sqr (+ alpha i)) (sqr beta)) (* (+ (fma i 2 alpha) beta) (- (+ alpha i) beta)))) (/ (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) (fma i (+ (+ alpha i) beta) (* alpha beta)))))>
* [enter]simplify:  Simplifying (* (+ (fma i 2 alpha) beta) (- (+ alpha i) beta))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (29 enodes)
* * [misc]simplify:  iters left: 3 (64 enodes)
* * [misc]simplify:  iters left: 2 (98 enodes)
* * [misc]simplify:  iters left: 1 (119 enodes)
* [exit]simplify:  Simplified to (* (+ (- i beta) alpha) (+ beta (fma i 2 alpha)))
* [exit]simplify:  Simplified to (* (+ (- i beta) alpha) (+ beta (fma i 2 alpha)))
* * * * [misc]progress:  [ 102 / 116 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (* (log1p (expm1 (/ i (+ (fma i 2 alpha) beta)))) (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta))) (/ (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) (fma i (+ (+ alpha i) beta) (* alpha beta)))))>
* [enter]simplify:  Simplifying (expm1 (/ i (+ (fma i 2 alpha) beta)))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (9 enodes)
* [exit]simplify:  Simplified to (expm1 (/ i (+ beta (fma i 2 alpha))))
* [exit]simplify:  Simplified to (expm1 (/ i (+ beta (fma i 2 alpha))))
* * * * [misc]progress:  [ 103 / 116 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (* (expm1 (log1p (/ i (+ (fma i 2 alpha) beta)))) (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta))) (/ (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) (fma i (+ (+ alpha i) beta) (* alpha beta)))))>
* [enter]simplify:  Simplifying (log1p (/ i (+ (fma i 2 alpha) beta)))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (9 enodes)
* [exit]simplify:  Simplified to (log1p (/ i (+ beta (fma i 2 alpha))))
* [exit]simplify:  Simplified to (log1p (/ i (+ beta (fma i 2 alpha))))
* * * * [misc]progress:  [ 104 / 116 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (* (pow (/ i (+ (fma i 2 alpha) beta)) 1) (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta))) (/ (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) (fma i (+ (+ alpha i) beta) (* alpha beta)))))>
* * * * [misc]progress:  [ 105 / 116 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (* (exp (log (/ i (+ (fma i 2 alpha) beta)))) (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta))) (/ (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) (fma i (+ (+ alpha i) beta) (* alpha beta)))))>
* [enter]simplify:  Simplifying (log (/ i (+ (fma i 2 alpha) beta)))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* [exit]simplify:  Simplified to (log (/ i (+ beta (fma i 2 alpha))))
* [exit]simplify:  Simplified to (log (/ i (+ beta (fma i 2 alpha))))
* * * * [misc]progress:  [ 106 / 116 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (* (log (exp (/ i (+ (fma i 2 alpha) beta)))) (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta))) (/ (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) (fma i (+ (+ alpha i) beta) (* alpha beta)))))>
* [enter]simplify:  Simplifying (exp (/ i (+ (fma i 2 alpha) beta)))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (9 enodes)
* [exit]simplify:  Simplified to (exp (/ i (+ beta (fma i 2 alpha))))
* [exit]simplify:  Simplified to (exp (/ i (+ beta (fma i 2 alpha))))
* * * * [misc]progress:  [ 107 / 116 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (* (cube (cbrt (/ i (+ (fma i 2 alpha) beta)))) (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta))) (/ (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) (fma i (+ (+ alpha i) beta) (* alpha beta)))))>
* [enter]simplify:  Simplifying (cbrt (/ i (+ (fma i 2 alpha) beta)))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (9 enodes)
* [exit]simplify:  Simplified to (cbrt (/ i (+ beta (fma i 2 alpha))))
* [exit]simplify:  Simplified to (cbrt (/ i (+ beta (fma i 2 alpha))))
* * * * [misc]progress:  [ 108 / 116 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (* (cbrt (cube (/ i (+ (fma i 2 alpha) beta)))) (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta))) (/ (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) (fma i (+ (+ alpha i) beta) (* alpha beta)))))>
* [enter]simplify:  Simplifying (cube (/ i (+ (fma i 2 alpha) beta)))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (24 enodes)
* * [misc]simplify:  iters left: 3 (38 enodes)
* * [misc]simplify:  iters left: 2 (97 enodes)
* * [misc]simplify:  iters left: 1 (187 enodes)
* [exit]simplify:  Simplified to (cube (/ i (+ beta (fma i 2 alpha))))
* [exit]simplify:  Simplified to (cube (/ i (+ beta (fma i 2 alpha))))
* * * * [misc]progress:  [ 109 / 116 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (* (sqr (sqrt (/ i (+ (fma i 2 alpha) beta)))) (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta))) (/ (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) (fma i (+ (+ alpha i) beta) (* alpha beta)))))>
* [enter]simplify:  Simplifying (sqrt (/ i (+ (fma i 2 alpha) beta)))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (9 enodes)
* [exit]simplify:  Simplified to (sqrt (/ i (+ beta (fma i 2 alpha))))
* [exit]simplify:  Simplified to (sqrt (/ i (+ beta (fma i 2 alpha))))
* * * * [misc]progress:  [ 110 / 116 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (* (/ (- i) (- (+ (fma i 2 alpha) beta))) (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta))) (/ (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) (fma i (+ (+ alpha i) beta) (* alpha beta)))))>
* [enter]simplify:  Simplifying (- i)
* * [misc]simplify:  iters left: 2 (2 enodes)
* [exit]simplify:  Simplified to (- i)
* [exit]simplify:  Simplified to (- i)
* [enter]simplify:  Simplifying (- (+ (fma i 2 alpha) beta))
* * [misc]simplify:  iters left: 5 (7 enodes)
* * [misc]simplify:  iters left: 4 (11 enodes)
* * [misc]simplify:  iters left: 3 (12 enodes)
* [exit]simplify:  Simplified to (- (+ beta (fma i 2 alpha)))
* [exit]simplify:  Simplified to (- (+ beta (fma i 2 alpha)))
* * * * [misc]progress:  [ 111 / 116 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (* (* 1 (/ i (+ (fma i 2 alpha) beta))) (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta))) (/ (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) (fma i (+ (+ alpha i) beta) (* alpha beta)))))>
* * * * [misc]progress:  [ 112 / 116 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (* (* i (/ 1 (+ (fma i 2 alpha) beta))) (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta))) (/ (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) (fma i (+ (+ alpha i) beta) (* alpha beta)))))>
* [enter]simplify:  Simplifying (/ 1 (+ (fma i 2 alpha) beta))
* * [misc]simplify:  iters left: 5 (8 enodes)
* * [misc]simplify:  iters left: 4 (11 enodes)
* [exit]simplify:  Simplified to (/ 1 (+ beta (fma i 2 alpha)))
* [exit]simplify:  Simplified to (/ 1 (+ beta (fma i 2 alpha)))
* * * * [misc]progress:  [ 113 / 116 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (* (/ 1 (/ (+ (fma i 2 alpha) beta) i)) (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta))) (/ (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) (fma i (+ (+ alpha i) beta) (* alpha beta)))))>
* [enter]simplify:  Simplifying (/ (+ (fma i 2 alpha) beta) i)
* * [misc]simplify:  iters left: 5 (7 enodes)
* * [misc]simplify:  iters left: 4 (8 enodes)
* [exit]simplify:  Simplified to (/ (+ beta (fma i 2 alpha)) i)
* [exit]simplify:  Simplified to (/ (+ beta (fma i 2 alpha)) i)
* * * * [misc]progress:  [ 114 / 116 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (* (/ (/ i 1) (+ (fma i 2 alpha) beta)) (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta))) (/ (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) (fma i (+ (+ alpha i) beta) (* alpha beta)))))>
* [enter]simplify:  Simplifying (/ i 1)
* * [misc]simplify:  iters left: 2 (3 enodes)
* * [misc]simplify:  iters left: 1 (5 enodes)
* [exit]simplify:  Simplified to (/ i 1)
* [exit]simplify:  Simplified to (/ i 1)
* * * * [misc]progress:  [ 115 / 116 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (* (* (/ i (- (pow (fma i 2 alpha) 3) (pow beta 3))) (+ (sqr (fma i 2 alpha)) (- (sqr beta) (* (fma i 2 alpha) beta)))) (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta))) (/ (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) (fma i (+ (+ alpha i) beta) (* alpha beta)))))>
* [enter]simplify:  Simplifying (/ i (- (pow (fma i 2 alpha) 3) (pow beta 3)))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* * [misc]simplify:  iters left: 4 (16 enodes)
* * [misc]simplify:  iters left: 3 (20 enodes)
* [exit]simplify:  Simplified to (/ i (- (cube (fma i 2 alpha)) (cube beta)))
* [exit]simplify:  Simplified to (/ i (- (cube (fma i 2 alpha)) (cube beta)))
* * * * [misc]progress:  [ 116 / 116 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (* (* (/ i (- (sqr (fma i 2 alpha)) (sqr beta))) (- (fma i 2 alpha) beta)) (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta))) (/ (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) (fma i (+ (+ alpha i) beta) (* alpha beta)))))>
* [enter]simplify:  Simplifying (/ i (- (sqr (fma i 2 alpha)) (sqr beta)))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (18 enodes)
* * [misc]simplify:  iters left: 3 (26 enodes)
* * [misc]simplify:  iters left: 2 (30 enodes)
* [exit]simplify:  Simplified to (/ (/ i (+ beta (fma i 2 alpha))) (- (fma i 2 alpha) beta))
* [exit]simplify:  Simplified to (/ (/ i (+ beta (fma i 2 alpha))) (- (fma i 2 alpha) beta))
* * * [misc]progress:  adding candidates to table
* * [misc]progress:  Final touches.
* * * [misc]progress:  tayloring alt 1 of 10
* [misc]approximate:  Taking taylor expansion of (/ (* (fma i (+ (+ alpha i) beta) (* alpha beta)) (/ i (+ (fma i 2 alpha) beta))) (fma (fma beta 2 (fma (/ 1 i) 2 (/ 1 alpha))) (fma (/ 1 i) 2 (/ 1 alpha)) (- (sqr beta) 1.0))) in (i alpha beta) around 0
* [misc]taylor:  Taking taylor expansion of (/ (* (fma i (+ (+ alpha i) beta) (* alpha beta)) (/ i (+ (fma i 2 alpha) beta))) (fma (fma beta 2 (fma (/ 1 i) 2 (/ 1 alpha))) (fma (/ 1 i) 2 (/ 1 alpha)) (- (sqr beta) 1.0))) in beta
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ (+ alpha i) beta) (* alpha beta)) (/ i (+ (fma i 2 alpha) beta))) in beta
* [misc]taylor:  Taking taylor expansion of (fma i (+ (+ alpha i) beta) (* alpha beta)) in beta
* [misc]backup-simplify:  Simplify (fma i (+ (+ alpha i) beta) (* alpha beta)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (/ i (+ (fma i 2 alpha) beta)) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (+ (fma i 2 alpha) beta) in beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in beta
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ (fma i 2 alpha) 0) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (/ i (fma i 2 alpha)) into (/ i (fma i 2 alpha))
* [misc]taylor:  Taking taylor expansion of (fma (fma beta 2 (fma (/ 1 i) 2 (/ 1 alpha))) (fma (/ 1 i) 2 (/ 1 alpha)) (- (sqr beta) 1.0)) in beta
* [misc]backup-simplify:  Simplify (fma (fma beta 2 (fma (/ 1 i) 2 (/ 1 alpha))) (fma (/ 1 i) 2 (/ 1 alpha)) (- (sqr beta) 1.0)) into (fma (fma beta 2 (fma (/ 1 i) 2 (/ 1 alpha))) (fma (/ 1 i) 2 (/ 1 alpha)) (- (sqr beta) 1.0))
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (/ i (fma i 2 alpha))) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (/ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (fma i 2 alpha)) (fma (fma beta 2 (fma (/ 1 i) 2 (/ 1 alpha))) (fma (/ 1 i) 2 (/ 1 alpha)) (- (sqr beta) 1.0))) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (fma (fma beta 2 (fma (/ 1 i) 2 (/ 1 alpha))) (fma (/ 1 i) 2 (/ 1 alpha)) (- (sqr beta) 1.0)) (fma i 2 alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (* (fma i (+ (+ alpha i) beta) (* alpha beta)) (/ i (+ (fma i 2 alpha) beta))) (fma (fma beta 2 (fma (/ 1 i) 2 (/ 1 alpha))) (fma (/ 1 i) 2 (/ 1 alpha)) (- (sqr beta) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ (+ alpha i) beta) (* alpha beta)) (/ i (+ (fma i 2 alpha) beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i (+ (+ alpha i) beta) (* alpha beta)) in alpha
* [misc]backup-simplify:  Simplify (fma i (+ (+ alpha i) beta) (* alpha beta)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (/ i (+ (fma i 2 alpha) beta)) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (+ (fma i 2 alpha) beta) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (+ (fma i 2 alpha) beta) into (+ beta (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (/ i (+ beta (fma i 2 alpha))) into (/ i (+ beta (fma i 2 alpha)))
* [misc]taylor:  Taking taylor expansion of (fma (fma beta 2 (fma (/ 1 i) 2 (/ 1 alpha))) (fma (/ 1 i) 2 (/ 1 alpha)) (- (sqr beta) 1.0)) in alpha
* [misc]backup-simplify:  Simplify (fma (fma beta 2 (fma (/ 1 i) 2 (/ 1 alpha))) (fma (/ 1 i) 2 (/ 1 alpha)) (- (sqr beta) 1.0)) into (fma (fma beta 2 (fma (/ 1 i) 2 (/ 1 alpha))) (fma (/ 1 i) 2 (/ 1 alpha)) (- (sqr beta) 1.0))
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (/ i (+ beta (fma i 2 alpha)))) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (+ beta (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (/ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (+ beta (fma i 2 alpha))) (fma (fma beta 2 (fma (/ 1 i) 2 (/ 1 alpha))) (fma (/ 1 i) 2 (/ 1 alpha)) (- (sqr beta) 1.0))) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (fma (fma beta 2 (fma (/ 1 i) 2 (/ 1 alpha))) (fma (/ 1 i) 2 (/ 1 alpha)) (- (sqr beta) 1.0)) (+ beta (fma i 2 alpha))))
* [misc]taylor:  Taking taylor expansion of (/ (* (fma i (+ (+ alpha i) beta) (* alpha beta)) (/ i (+ (fma i 2 alpha) beta))) (fma (fma beta 2 (fma (/ 1 i) 2 (/ 1 alpha))) (fma (/ 1 i) 2 (/ 1 alpha)) (- (sqr beta) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ (+ alpha i) beta) (* alpha beta)) (/ i (+ (fma i 2 alpha) beta))) in i
* [misc]taylor:  Taking taylor expansion of (fma i (+ (+ alpha i) beta) (* alpha beta)) in i
* [misc]backup-simplify:  Simplify (fma i (+ (+ alpha i) beta) (* alpha beta)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (/ i (+ (fma i 2 alpha) beta)) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ (fma i 2 alpha) beta) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (+ (fma i 2 alpha) beta) into (+ beta (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (/ 1 (+ beta (fma i 2 alpha))) into (/ 1 (+ beta (fma i 2 alpha)))
* [misc]taylor:  Taking taylor expansion of (fma (fma beta 2 (fma (/ 1 i) 2 (/ 1 alpha))) (fma (/ 1 i) 2 (/ 1 alpha)) (- (sqr beta) 1.0)) in i
* [misc]backup-simplify:  Simplify (fma (fma beta 2 (fma (/ 1 i) 2 (/ 1 alpha))) (fma (/ 1 i) 2 (/ 1 alpha)) (- (sqr beta) 1.0)) into (fma (fma beta 2 (fma (/ 1 i) 2 (/ 1 alpha))) (fma (/ 1 i) 2 (/ 1 alpha)) (- (sqr beta) 1.0))
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (/ 1 (+ beta (fma i 2 alpha)))) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (+ beta (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (/ (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (+ beta (fma i 2 alpha))) (fma (fma beta 2 (fma (/ 1 i) 2 (/ 1 alpha))) (fma (/ 1 i) 2 (/ 1 alpha)) (- (sqr beta) 1.0))) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (fma (fma beta 2 (fma (/ 1 i) 2 (/ 1 alpha))) (fma (/ 1 i) 2 (/ 1 alpha)) (- (sqr beta) 1.0)) (+ beta (fma i 2 alpha))))
* [misc]taylor:  Taking taylor expansion of (/ (* (fma i (+ (+ alpha i) beta) (* alpha beta)) (/ i (+ (fma i 2 alpha) beta))) (fma (fma beta 2 (fma (/ 1 i) 2 (/ 1 alpha))) (fma (/ 1 i) 2 (/ 1 alpha)) (- (sqr beta) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ (+ alpha i) beta) (* alpha beta)) (/ i (+ (fma i 2 alpha) beta))) in i
* [misc]taylor:  Taking taylor expansion of (fma i (+ (+ alpha i) beta) (* alpha beta)) in i
* [misc]backup-simplify:  Simplify (fma i (+ (+ alpha i) beta) (* alpha beta)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (/ i (+ (fma i 2 alpha) beta)) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ (fma i 2 alpha) beta) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (+ (fma i 2 alpha) beta) into (+ beta (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (/ 1 (+ beta (fma i 2 alpha))) into (/ 1 (+ beta (fma i 2 alpha)))
* [misc]taylor:  Taking taylor expansion of (fma (fma beta 2 (fma (/ 1 i) 2 (/ 1 alpha))) (fma (/ 1 i) 2 (/ 1 alpha)) (- (sqr beta) 1.0)) in i
* [misc]backup-simplify:  Simplify (fma (fma beta 2 (fma (/ 1 i) 2 (/ 1 alpha))) (fma (/ 1 i) 2 (/ 1 alpha)) (- (sqr beta) 1.0)) into (fma (fma beta 2 (fma (/ 1 i) 2 (/ 1 alpha))) (fma (/ 1 i) 2 (/ 1 alpha)) (- (sqr beta) 1.0))
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (/ 1 (+ beta (fma i 2 alpha)))) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (+ beta (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (/ (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (+ beta (fma i 2 alpha))) (fma (fma beta 2 (fma (/ 1 i) 2 (/ 1 alpha))) (fma (/ 1 i) 2 (/ 1 alpha)) (- (sqr beta) 1.0))) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (fma (fma beta 2 (fma (/ 1 i) 2 (/ 1 alpha))) (fma (/ 1 i) 2 (/ 1 alpha)) (- (sqr beta) 1.0)) (+ beta (fma i 2 alpha))))
* [misc]taylor:  Taking taylor expansion of (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (fma (fma beta 2 (fma (/ 1 i) 2 (/ 1 alpha))) (fma (/ 1 i) 2 (/ 1 alpha)) (- (sqr beta) 1.0)) (+ beta (fma i 2 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (* (fma (fma beta 2 (fma (/ 1 i) 2 (/ 1 alpha))) (fma (/ 1 i) 2 (/ 1 alpha)) (- (sqr beta) 1.0)) (+ beta (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (fma beta 2 (fma (/ 1 i) 2 (/ 1 alpha))) (fma (/ 1 i) 2 (/ 1 alpha)) (- (sqr beta) 1.0)) in alpha
* [misc]backup-simplify:  Simplify (fma (fma beta 2 (fma (/ 1 i) 2 (/ 1 alpha))) (fma (/ 1 i) 2 (/ 1 alpha)) (- (sqr beta) 1.0)) into (fma (fma beta 2 (fma (/ 1 i) 2 (/ 1 alpha))) (fma (/ 1 i) 2 (/ 1 alpha)) (- (sqr beta) 1.0))
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ beta (fma i 2 alpha)) into (+ beta (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* (fma (fma beta 2 (fma (/ 1 i) 2 (/ 1 alpha))) (fma (/ 1 i) 2 (/ 1 alpha)) (- (sqr beta) 1.0)) (+ beta (fma i 2 alpha))) into (* (fma (fma beta 2 (fma (/ 1 i) 2 (/ 1 alpha))) (fma (/ 1 i) 2 (/ 1 alpha)) (- (sqr beta) 1.0)) (+ beta (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (fma (fma beta 2 (fma (/ 1 i) 2 (/ 1 alpha))) (fma (/ 1 i) 2 (/ 1 alpha)) (- (sqr beta) 1.0)) (+ beta (fma i 2 alpha)))) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (fma (fma beta 2 (fma (/ 1 i) 2 (/ 1 alpha))) (fma (/ 1 i) 2 (/ 1 alpha)) (- (sqr beta) 1.0)) (+ beta (fma i 2 alpha))))
* [misc]taylor:  Taking taylor expansion of (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (fma (fma beta 2 (fma (/ 1 i) 2 (/ 1 alpha))) (fma (/ 1 i) 2 (/ 1 alpha)) (- (sqr beta) 1.0)) (+ beta (fma i 2 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in beta
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (* (fma (fma beta 2 (fma (/ 1 i) 2 (/ 1 alpha))) (fma (/ 1 i) 2 (/ 1 alpha)) (- (sqr beta) 1.0)) (+ beta (fma i 2 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (fma beta 2 (fma (/ 1 i) 2 (/ 1 alpha))) (fma (/ 1 i) 2 (/ 1 alpha)) (- (sqr beta) 1.0)) in beta
* [misc]backup-simplify:  Simplify (fma (fma beta 2 (fma (/ 1 i) 2 (/ 1 alpha))) (fma (/ 1 i) 2 (/ 1 alpha)) (- (sqr beta) 1.0)) into (fma (fma beta 2 (fma (/ 1 i) 2 (/ 1 alpha))) (fma (/ 1 i) 2 (/ 1 alpha)) (- (sqr beta) 1.0))
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in beta
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ 0 (fma i 2 alpha)) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (* (fma (fma beta 2 (fma (/ 1 i) 2 (/ 1 alpha))) (fma (/ 1 i) 2 (/ 1 alpha)) (- (sqr beta) 1.0)) (fma i 2 alpha)) into (* (fma (fma beta 2 (fma (/ 1 i) 2 (/ 1 alpha))) (fma (/ 1 i) 2 (/ 1 alpha)) (- (sqr beta) 1.0)) (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (fma (fma beta 2 (fma (/ 1 i) 2 (/ 1 alpha))) (fma (/ 1 i) 2 (/ 1 alpha)) (- (sqr beta) 1.0)) (fma i 2 alpha))) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (fma (fma beta 2 (fma (/ 1 i) 2 (/ 1 alpha))) (fma (/ 1 i) 2 (/ 1 alpha)) (- (sqr beta) 1.0)) (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (fma (fma beta 2 (fma (/ 1 i) 2 (/ 1 alpha))) (fma (/ 1 i) 2 (/ 1 alpha)) (- (sqr beta) 1.0)) (fma i 2 alpha))) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (fma (fma beta 2 (fma (/ 1 i) 2 (/ 1 alpha))) (fma (/ 1 i) 2 (/ 1 alpha)) (- (sqr beta) 1.0)) (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ beta (fma i 2 alpha))) (+ (* (/ 1 (+ beta (fma i 2 alpha))) (/ 0 (+ beta (fma i 2 alpha)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) (* 0 (/ 1 (+ beta (fma i 2 alpha))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (fma (fma beta 2 (fma (/ 1 i) 2 (/ 1 alpha))) (fma (/ 1 i) 2 (/ 1 alpha)) (- (sqr beta) 1.0))) (+ (* (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (fma (fma beta 2 (fma (/ 1 i) 2 (/ 1 alpha))) (fma (/ 1 i) 2 (/ 1 alpha)) (- (sqr beta) 1.0)) (+ beta (fma i 2 alpha)))) (/ 0 (fma (fma beta 2 (fma (/ 1 i) 2 (/ 1 alpha))) (fma (/ 1 i) 2 (/ 1 alpha)) (- (sqr beta) 1.0)))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma (fma beta 2 (fma (/ 1 i) 2 (/ 1 alpha))) (fma (/ 1 i) 2 (/ 1 alpha)) (- (sqr beta) 1.0)) 0) (* 0 (+ beta (fma i 2 alpha)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* (fma (fma beta 2 (fma (/ 1 i) 2 (/ 1 alpha))) (fma (/ 1 i) 2 (/ 1 alpha)) (- (sqr beta) 1.0)) (+ beta (fma i 2 alpha)))) (+ (* (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (fma (fma beta 2 (fma (/ 1 i) 2 (/ 1 alpha))) (fma (/ 1 i) 2 (/ 1 alpha)) (- (sqr beta) 1.0)) (+ beta (fma i 2 alpha)))) (/ 0 (* (fma (fma beta 2 (fma (/ 1 i) 2 (/ 1 alpha))) (fma (/ 1 i) 2 (/ 1 alpha)) (- (sqr beta) 1.0)) (+ beta (fma i 2 alpha))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ (* (fma (fma beta 2 (fma (/ 1 i) 2 (/ 1 alpha))) (fma (/ 1 i) 2 (/ 1 alpha)) (- (sqr beta) 1.0)) 1) (* 0 (fma i 2 alpha))) into (fma (fma beta 2 (fma (/ 1 i) 2 (/ 1 alpha))) (fma (/ 1 i) 2 (/ 1 alpha)) (- (sqr beta) 1.0))
* [misc]backup-simplify:  Simplify (- (/ 0 (* (fma (fma beta 2 (fma (/ 1 i) 2 (/ 1 alpha))) (fma (/ 1 i) 2 (/ 1 alpha)) (- (sqr beta) 1.0)) (fma i 2 alpha))) (+ (* (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (fma (fma beta 2 (fma (/ 1 i) 2 (/ 1 alpha))) (fma (/ 1 i) 2 (/ 1 alpha)) (- (sqr beta) 1.0)) (fma i 2 alpha))) (/ (fma (fma beta 2 (fma (/ 1 i) 2 (/ 1 alpha))) (fma (/ 1 i) 2 (/ 1 alpha)) (- (sqr beta) 1.0)) (* (fma (fma beta 2 (fma (/ 1 i) 2 (/ 1 alpha))) (fma (/ 1 i) 2 (/ 1 alpha)) (- (sqr beta) 1.0)) (fma i 2 alpha)))))) into (- (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (fma (fma beta 2 (fma (/ 1 i) 2 (/ 1 alpha))) (fma (/ 1 i) 2 (/ 1 alpha)) (- (sqr beta) 1.0)) (sqr (fma i 2 alpha)))))
* [misc]backup-simplify:  Simplify (- (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (fma (fma beta 2 (fma (/ 1 i) 2 (/ 1 alpha))) (fma (/ 1 i) 2 (/ 1 alpha)) (- (sqr beta) 1.0)) (sqr (fma i 2 alpha))))) into (- (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (fma (fma beta 2 (fma (/ 1 i) 2 (/ 1 alpha))) (fma (/ 1 i) 2 (/ 1 alpha)) (- (sqr beta) 1.0)) (sqr (fma i 2 alpha)))))
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ beta (fma i 2 alpha))) (+ (* (/ 1 (+ beta (fma i 2 alpha))) (/ 0 (+ beta (fma i 2 alpha)))) (* 0 (/ 0 (+ beta (fma i 2 alpha)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) (+ (* 0 0) (* 0 (/ 1 (+ beta (fma i 2 alpha)))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (fma (fma beta 2 (fma (/ 1 i) 2 (/ 1 alpha))) (fma (/ 1 i) 2 (/ 1 alpha)) (- (sqr beta) 1.0))) (+ (* (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (fma (fma beta 2 (fma (/ 1 i) 2 (/ 1 alpha))) (fma (/ 1 i) 2 (/ 1 alpha)) (- (sqr beta) 1.0)) (+ beta (fma i 2 alpha)))) (/ 0 (fma (fma beta 2 (fma (/ 1 i) 2 (/ 1 alpha))) (fma (/ 1 i) 2 (/ 1 alpha)) (- (sqr beta) 1.0)))) (* 0 (/ 0 (fma (fma beta 2 (fma (/ 1 i) 2 (/ 1 alpha))) (fma (/ 1 i) 2 (/ 1 alpha)) (- (sqr beta) 1.0)))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma (fma beta 2 (fma (/ 1 i) 2 (/ 1 alpha))) (fma (/ 1 i) 2 (/ 1 alpha)) (- (sqr beta) 1.0)) 0) (+ (* 0 0) (* 0 (+ beta (fma i 2 alpha))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* (fma (fma beta 2 (fma (/ 1 i) 2 (/ 1 alpha))) (fma (/ 1 i) 2 (/ 1 alpha)) (- (sqr beta) 1.0)) (+ beta (fma i 2 alpha)))) (+ (* (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (fma (fma beta 2 (fma (/ 1 i) 2 (/ 1 alpha))) (fma (/ 1 i) 2 (/ 1 alpha)) (- (sqr beta) 1.0)) (+ beta (fma i 2 alpha)))) (/ 0 (* (fma (fma beta 2 (fma (/ 1 i) 2 (/ 1 alpha))) (fma (/ 1 i) 2 (/ 1 alpha)) (- (sqr beta) 1.0)) (+ beta (fma i 2 alpha))))) (* 0 (/ 0 (* (fma (fma beta 2 (fma (/ 1 i) 2 (/ 1 alpha))) (fma (/ 1 i) 2 (/ 1 alpha)) (- (sqr beta) 1.0)) (+ beta (fma i 2 alpha))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma (fma beta 2 (fma (/ 1 i) 2 (/ 1 alpha))) (fma (/ 1 i) 2 (/ 1 alpha)) (- (sqr beta) 1.0)) 0) (+ (* 0 1) (* 0 (fma i 2 alpha)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* (fma (fma beta 2 (fma (/ 1 i) 2 (/ 1 alpha))) (fma (/ 1 i) 2 (/ 1 alpha)) (- (sqr beta) 1.0)) (fma i 2 alpha))) (+ (* (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (fma (fma beta 2 (fma (/ 1 i) 2 (/ 1 alpha))) (fma (/ 1 i) 2 (/ 1 alpha)) (- (sqr beta) 1.0)) (fma i 2 alpha))) (/ 0 (* (fma (fma beta 2 (fma (/ 1 i) 2 (/ 1 alpha))) (fma (/ 1 i) 2 (/ 1 alpha)) (- (sqr beta) 1.0)) (fma i 2 alpha)))) (* (- (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (fma (fma beta 2 (fma (/ 1 i) 2 (/ 1 alpha))) (fma (/ 1 i) 2 (/ 1 alpha)) (- (sqr beta) 1.0)) (sqr (fma i 2 alpha))))) (/ (fma (fma beta 2 (fma (/ 1 i) 2 (/ 1 alpha))) (fma (/ 1 i) 2 (/ 1 alpha)) (- (sqr beta) 1.0)) (* (fma (fma beta 2 (fma (/ 1 i) 2 (/ 1 alpha))) (fma (/ 1 i) 2 (/ 1 alpha)) (- (sqr beta) 1.0)) (fma i 2 alpha)))))) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (fma (fma beta 2 (fma (/ 1 i) 2 (/ 1 alpha))) (fma (/ 1 i) 2 (/ 1 alpha)) (- (sqr beta) 1.0)) (pow (fma i 2 alpha) 3)))
* [misc]backup-simplify:  Simplify (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (fma (fma beta 2 (fma (/ 1 i) 2 (/ 1 alpha))) (fma (/ 1 i) 2 (/ 1 alpha)) (- (sqr beta) 1.0)) (pow (fma i 2 alpha) 3))) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (fma (fma beta 2 (fma (/ 1 i) 2 (/ 1 alpha))) (fma (/ 1 i) 2 (/ 1 alpha)) (- (sqr beta) 1.0)) (pow (fma i 2 alpha) 3)))
* [misc]backup-simplify:  Simplify (+ (* (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (fma (fma beta 2 (fma (/ 1 i) 2 (/ 1 alpha))) (fma (/ 1 i) 2 (/ 1 alpha)) (- (sqr beta) 1.0)) (pow (fma i 2 alpha) 3))) (* (sqr beta) (* 1 i))) (+ (* (- (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (fma (fma beta 2 (fma (/ 1 i) 2 (/ 1 alpha))) (fma (/ 1 i) 2 (/ 1 alpha)) (- (sqr beta) 1.0)) (sqr (fma i 2 alpha))))) (* beta (* 1 i))) (* (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (fma (fma beta 2 (fma (/ 1 i) 2 (/ 1 alpha))) (fma (/ 1 i) 2 (/ 1 alpha)) (- (sqr beta) 1.0)) (fma i 2 alpha))) (* 1 (* 1 i))))) into (- (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (fma (fma beta 2 (fma (/ 1 i) 2 (/ 1 alpha))) (fma (/ 1 i) 2 (/ 1 alpha)) (- (sqr beta) 1.0)) (fma i 2 alpha))) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr beta) i)) (* (fma (fma beta 2 (fma (/ 1 i) 2 (/ 1 alpha))) (fma (/ 1 i) 2 (/ 1 alpha)) (- (sqr beta) 1.0)) (pow (fma i 2 alpha) 3)))) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* beta i)) (* (fma (fma beta 2 (fma (/ 1 i) 2 (/ 1 alpha))) (fma (/ 1 i) 2 (/ 1 alpha)) (- (sqr beta) 1.0)) (sqr (fma i 2 alpha)))))
* [misc]approximate:  Taking taylor expansion of (/ (* (fma (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (* (/ 1 alpha) (/ 1 beta))) (/ (/ 1 i) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)))) (fma (fma (/ 1 beta) 2 (fma (/ 1 (/ 1 i)) 2 (/ 1 (/ 1 alpha)))) (fma (/ 1 (/ 1 i)) 2 (/ 1 (/ 1 alpha))) (- (sqr (/ 1 beta)) 1.0))) in (i alpha beta) around 0
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (* (/ 1 alpha) (/ 1 beta))) (/ (/ 1 i) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)))) (fma (fma (/ 1 beta) 2 (fma (/ 1 (/ 1 i)) 2 (/ 1 (/ 1 alpha)))) (fma (/ 1 (/ 1 i)) 2 (/ 1 (/ 1 alpha))) (- (sqr (/ 1 beta)) 1.0))) in beta
* [misc]taylor:  Taking taylor expansion of (* (fma (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (* (/ 1 alpha) (/ 1 beta))) (/ (/ 1 i) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (* (/ 1 alpha) (/ 1 beta))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (* (/ 1 alpha) (/ 1 beta))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 i) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (/ (/ 1 i) 1) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (fma (fma (/ 1 beta) 2 (fma (/ 1 (/ 1 i)) 2 (/ 1 (/ 1 alpha)))) (fma (/ 1 (/ 1 i)) 2 (/ 1 (/ 1 alpha))) (- (sqr (/ 1 beta)) 1.0)) in beta
* [misc]backup-simplify:  Simplify (fma (fma (/ 1 beta) 2 (fma (/ 1 (/ 1 i)) 2 (/ 1 (/ 1 alpha)))) (fma (/ 1 (/ 1 i)) 2 (/ 1 (/ 1 alpha))) (- (sqr (/ 1 beta)) 1.0)) into (fma (fma (/ 1 beta) 2 (fma i 2 alpha)) (fma i 2 alpha) (- (/ 1 (sqr beta)) 1.0))
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))) (/ 1 i)) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))) i)
* [misc]backup-simplify:  Simplify (/ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))) i) (fma (fma (/ 1 beta) 2 (fma i 2 alpha)) (fma i 2 alpha) (- (/ 1 (sqr beta)) 1.0))) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))) (* (fma (fma (/ 1 beta) 2 (fma i 2 alpha)) (fma i 2 alpha) (- (/ 1 (sqr beta)) 1.0)) i))
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (* (/ 1 alpha) (/ 1 beta))) (/ (/ 1 i) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)))) (fma (fma (/ 1 beta) 2 (fma (/ 1 (/ 1 i)) 2 (/ 1 (/ 1 alpha)))) (fma (/ 1 (/ 1 i)) 2 (/ 1 (/ 1 alpha))) (- (sqr (/ 1 beta)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (* (/ 1 alpha) (/ 1 beta))) (/ (/ 1 i) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (* (/ 1 alpha) (/ 1 beta))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (* (/ 1 alpha) (/ 1 beta))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 i) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]backup-simplify:  Simplify (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) into (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) into (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))
* [misc]taylor:  Taking taylor expansion of (fma (fma (/ 1 beta) 2 (fma (/ 1 (/ 1 i)) 2 (/ 1 (/ 1 alpha)))) (fma (/ 1 (/ 1 i)) 2 (/ 1 (/ 1 alpha))) (- (sqr (/ 1 beta)) 1.0)) in alpha
* [misc]backup-simplify:  Simplify (fma (fma (/ 1 beta) 2 (fma (/ 1 (/ 1 i)) 2 (/ 1 (/ 1 alpha)))) (fma (/ 1 (/ 1 i)) 2 (/ 1 (/ 1 alpha))) (- (sqr (/ 1 beta)) 1.0)) into (fma (fma (/ 1 beta) 2 (fma i 2 alpha)) (fma i 2 alpha) (- (/ 1 (sqr beta)) 1.0))
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))) (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))) (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))
* [misc]backup-simplify:  Simplify (/ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))) (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i)) (fma (fma (/ 1 beta) 2 (fma i 2 alpha)) (fma i 2 alpha) (- (/ 1 (sqr beta)) 1.0))) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))) (* (fma (fma (/ 1 beta) 2 (fma i 2 alpha)) (fma i 2 alpha) (- (/ 1 (sqr beta)) 1.0)) (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i)))
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (* (/ 1 alpha) (/ 1 beta))) (/ (/ 1 i) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)))) (fma (fma (/ 1 beta) 2 (fma (/ 1 (/ 1 i)) 2 (/ 1 (/ 1 alpha)))) (fma (/ 1 (/ 1 i)) 2 (/ 1 (/ 1 alpha))) (- (sqr (/ 1 beta)) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of (* (fma (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (* (/ 1 alpha) (/ 1 beta))) (/ (/ 1 i) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (* (/ 1 alpha) (/ 1 beta))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (* (/ 1 alpha) (/ 1 beta))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 i) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]backup-simplify:  Simplify (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) into (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) into (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (fma (fma (/ 1 beta) 2 (fma (/ 1 (/ 1 i)) 2 (/ 1 (/ 1 alpha)))) (fma (/ 1 (/ 1 i)) 2 (/ 1 (/ 1 alpha))) (- (sqr (/ 1 beta)) 1.0)) in i
* [misc]backup-simplify:  Simplify (fma (fma (/ 1 beta) 2 (fma (/ 1 (/ 1 i)) 2 (/ 1 (/ 1 alpha)))) (fma (/ 1 (/ 1 i)) 2 (/ 1 (/ 1 alpha))) (- (sqr (/ 1 beta)) 1.0)) into (fma (fma (/ 1 beta) 2 (fma i 2 alpha)) (fma i 2 alpha) (- (/ 1 (sqr beta)) 1.0))
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))) (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (/ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (fma (/ 1 beta) 2 (fma i 2 alpha)) (fma i 2 alpha) (- (/ 1 (sqr beta)) 1.0))) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))) (* (fma (fma (/ 1 beta) 2 (fma i 2 alpha)) (fma i 2 alpha) (- (/ 1 (sqr beta)) 1.0)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (* (/ 1 alpha) (/ 1 beta))) (/ (/ 1 i) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)))) (fma (fma (/ 1 beta) 2 (fma (/ 1 (/ 1 i)) 2 (/ 1 (/ 1 alpha)))) (fma (/ 1 (/ 1 i)) 2 (/ 1 (/ 1 alpha))) (- (sqr (/ 1 beta)) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of (* (fma (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (* (/ 1 alpha) (/ 1 beta))) (/ (/ 1 i) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (* (/ 1 alpha) (/ 1 beta))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (* (/ 1 alpha) (/ 1 beta))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 i) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]backup-simplify:  Simplify (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) into (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) into (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (fma (fma (/ 1 beta) 2 (fma (/ 1 (/ 1 i)) 2 (/ 1 (/ 1 alpha)))) (fma (/ 1 (/ 1 i)) 2 (/ 1 (/ 1 alpha))) (- (sqr (/ 1 beta)) 1.0)) in i
* [misc]backup-simplify:  Simplify (fma (fma (/ 1 beta) 2 (fma (/ 1 (/ 1 i)) 2 (/ 1 (/ 1 alpha)))) (fma (/ 1 (/ 1 i)) 2 (/ 1 (/ 1 alpha))) (- (sqr (/ 1 beta)) 1.0)) into (fma (fma (/ 1 beta) 2 (fma i 2 alpha)) (fma i 2 alpha) (- (/ 1 (sqr beta)) 1.0))
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))) (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (/ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (fma (/ 1 beta) 2 (fma i 2 alpha)) (fma i 2 alpha) (- (/ 1 (sqr beta)) 1.0))) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))) (* (fma (fma (/ 1 beta) 2 (fma i 2 alpha)) (fma i 2 alpha) (- (/ 1 (sqr beta)) 1.0)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))) (* (fma (fma (/ 1 beta) 2 (fma i 2 alpha)) (fma i 2 alpha) (- (/ 1 (sqr beta)) 1.0)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (* (fma (fma (/ 1 beta) 2 (fma i 2 alpha)) (fma i 2 alpha) (- (/ 1 (sqr beta)) 1.0)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (fma (/ 1 beta) 2 (fma i 2 alpha)) (fma i 2 alpha) (- (/ 1 (sqr beta)) 1.0)) in alpha
* [misc]backup-simplify:  Simplify (fma (fma (/ 1 beta) 2 (fma i 2 alpha)) (fma i 2 alpha) (- (/ 1 (sqr beta)) 1.0)) into (fma (fma (/ 1 beta) 2 (fma i 2 alpha)) (fma i 2 alpha) (- (/ 1 (sqr beta)) 1.0))
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) into (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* (fma (fma (/ 1 beta) 2 (fma i 2 alpha)) (fma i 2 alpha) (- (/ 1 (sqr beta)) 1.0)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) into (* (fma (fma (/ 1 beta) 2 (fma i 2 alpha)) (fma i 2 alpha) (- (/ 1 (sqr beta)) 1.0)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))) (* (fma (fma (/ 1 beta) 2 (fma i 2 alpha)) (fma i 2 alpha) (- (/ 1 (sqr beta)) 1.0)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))) (* (fma (fma (/ 1 beta) 2 (fma i 2 alpha)) (fma i 2 alpha) (- (/ 1 (sqr beta)) 1.0)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))) (* (fma (fma (/ 1 beta) 2 (fma i 2 alpha)) (fma i 2 alpha) (- (/ 1 (sqr beta)) 1.0)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (* (fma (fma (/ 1 beta) 2 (fma i 2 alpha)) (fma i 2 alpha) (- (/ 1 (sqr beta)) 1.0)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (fma (/ 1 beta) 2 (fma i 2 alpha)) (fma i 2 alpha) (- (/ 1 (sqr beta)) 1.0)) in beta
* [misc]backup-simplify:  Simplify (fma (fma (/ 1 beta) 2 (fma i 2 alpha)) (fma i 2 alpha) (- (/ 1 (sqr beta)) 1.0)) into (fma (fma (/ 1 beta) 2 (fma i 2 alpha)) (fma i 2 alpha) (- (/ 1 (sqr beta)) 1.0))
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (* (fma (fma (/ 1 beta) 2 (fma i 2 alpha)) (fma i 2 alpha) (- (/ 1 (sqr beta)) 1.0)) 1) into (fma (fma (/ 1 beta) 2 (fma i 2 alpha)) (fma i 2 alpha) (- (/ 1 (sqr beta)) 1.0))
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))) (fma (fma (/ 1 beta) 2 (fma i 2 alpha)) (fma i 2 alpha) (- (/ 1 (sqr beta)) 1.0))) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))) (fma (fma (/ 1 beta) 2 (fma i 2 alpha)) (fma i 2 alpha) (- (/ 1 (sqr beta)) 1.0)))
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))) (fma (fma (/ 1 beta) 2 (fma i 2 alpha)) (fma i 2 alpha) (- (/ 1 (sqr beta)) 1.0))) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))) (fma (fma (/ 1 beta) 2 (fma i 2 alpha)) (fma i 2 alpha) (- (/ 1 (sqr beta)) 1.0)))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (+ (* (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (/ 0 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))) 0) (* 0 (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (fma (fma (/ 1 beta) 2 (fma i 2 alpha)) (fma i 2 alpha) (- (/ 1 (sqr beta)) 1.0))) (+ (* (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))) (* (fma (fma (/ 1 beta) 2 (fma i 2 alpha)) (fma i 2 alpha) (- (/ 1 (sqr beta)) 1.0)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (/ 0 (fma (fma (/ 1 beta) 2 (fma i 2 alpha)) (fma i 2 alpha) (- (/ 1 (sqr beta)) 1.0)))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma (fma (/ 1 beta) 2 (fma i 2 alpha)) (fma i 2 alpha) (- (/ 1 (sqr beta)) 1.0)) 0) (* 0 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* (fma (fma (/ 1 beta) 2 (fma i 2 alpha)) (fma i 2 alpha) (- (/ 1 (sqr beta)) 1.0)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (+ (* (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))) (* (fma (fma (/ 1 beta) 2 (fma i 2 alpha)) (fma i 2 alpha) (- (/ 1 (sqr beta)) 1.0)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (/ 0 (* (fma (fma (/ 1 beta) 2 (fma i 2 alpha)) (fma i 2 alpha) (- (/ 1 (sqr beta)) 1.0)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (fma (/ 1 i) 2 (/ 1 alpha))) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (* (fma (fma (/ 1 beta) 2 (fma i 2 alpha)) (fma i 2 alpha) (- (/ 1 (sqr beta)) 1.0)) (fma (/ 1 i) 2 (/ 1 alpha))) (* 0 1)) into (* (fma (fma (/ 1 beta) 2 (fma i 2 alpha)) (fma i 2 alpha) (- (/ 1 (sqr beta)) 1.0)) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (- (/ 0 (fma (fma (/ 1 beta) 2 (fma i 2 alpha)) (fma i 2 alpha) (- (/ 1 (sqr beta)) 1.0))) (+ (* (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))) (fma (fma (/ 1 beta) 2 (fma i 2 alpha)) (fma i 2 alpha) (- (/ 1 (sqr beta)) 1.0))) (/ (* (fma (fma (/ 1 beta) 2 (fma i 2 alpha)) (fma i 2 alpha) (- (/ 1 (sqr beta)) 1.0)) (fma (/ 1 i) 2 (/ 1 alpha))) (fma (fma (/ 1 beta) 2 (fma i 2 alpha)) (fma i 2 alpha) (- (/ 1 (sqr beta)) 1.0)))))) into (- (/ (* (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha)))) (fma (fma (/ 1 beta) 2 (fma i 2 alpha)) (fma i 2 alpha) (- (/ 1 (sqr beta)) 1.0))))
* [misc]backup-simplify:  Simplify (- (/ (* (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha)))) (fma (fma (/ 1 beta) 2 (fma i 2 alpha)) (fma i 2 alpha) (- (/ 1 (sqr beta)) 1.0)))) into (- (/ (* (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha)))) (fma (fma (/ 1 beta) 2 (fma i 2 alpha)) (fma i 2 alpha) (- (/ 1 (sqr beta)) 1.0))))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (+ (* (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (/ 0 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (* 0 (/ 0 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))) 0) (+ (* 0 0) (* 0 (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (fma (fma (/ 1 beta) 2 (fma i 2 alpha)) (fma i 2 alpha) (- (/ 1 (sqr beta)) 1.0))) (+ (* (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))) (* (fma (fma (/ 1 beta) 2 (fma i 2 alpha)) (fma i 2 alpha) (- (/ 1 (sqr beta)) 1.0)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (/ 0 (fma (fma (/ 1 beta) 2 (fma i 2 alpha)) (fma i 2 alpha) (- (/ 1 (sqr beta)) 1.0)))) (* 0 (/ 0 (fma (fma (/ 1 beta) 2 (fma i 2 alpha)) (fma i 2 alpha) (- (/ 1 (sqr beta)) 1.0)))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma (fma (/ 1 beta) 2 (fma i 2 alpha)) (fma i 2 alpha) (- (/ 1 (sqr beta)) 1.0)) 0) (+ (* 0 0) (* 0 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* (fma (fma (/ 1 beta) 2 (fma i 2 alpha)) (fma i 2 alpha) (- (/ 1 (sqr beta)) 1.0)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (+ (* (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))) (* (fma (fma (/ 1 beta) 2 (fma i 2 alpha)) (fma i 2 alpha) (- (/ 1 (sqr beta)) 1.0)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (/ 0 (* (fma (fma (/ 1 beta) 2 (fma i 2 alpha)) (fma i 2 alpha) (- (/ 1 (sqr beta)) 1.0)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) (* 0 (/ 0 (* (fma (fma (/ 1 beta) 2 (fma i 2 alpha)) (fma i 2 alpha) (- (/ 1 (sqr beta)) 1.0)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma (fma (/ 1 beta) 2 (fma i 2 alpha)) (fma i 2 alpha) (- (/ 1 (sqr beta)) 1.0)) 0) (+ (* 0 (fma (/ 1 i) 2 (/ 1 alpha))) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (fma (fma (/ 1 beta) 2 (fma i 2 alpha)) (fma i 2 alpha) (- (/ 1 (sqr beta)) 1.0))) (+ (* (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))) (fma (fma (/ 1 beta) 2 (fma i 2 alpha)) (fma i 2 alpha) (- (/ 1 (sqr beta)) 1.0))) (/ 0 (fma (fma (/ 1 beta) 2 (fma i 2 alpha)) (fma i 2 alpha) (- (/ 1 (sqr beta)) 1.0)))) (* (- (/ (* (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha)))) (fma (fma (/ 1 beta) 2 (fma i 2 alpha)) (fma i 2 alpha) (- (/ 1 (sqr beta)) 1.0)))) (/ (* (fma (fma (/ 1 beta) 2 (fma i 2 alpha)) (fma i 2 alpha) (- (/ 1 (sqr beta)) 1.0)) (fma (/ 1 i) 2 (/ 1 alpha))) (fma (fma (/ 1 beta) 2 (fma i 2 alpha)) (fma i 2 alpha) (- (/ 1 (sqr beta)) 1.0)))))) into (/ (* (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha)))) (fma (fma (/ 1 beta) 2 (fma i 2 alpha)) (fma i 2 alpha) (- (/ 1 (sqr beta)) 1.0)))
* [misc]backup-simplify:  Simplify (/ (* (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha)))) (fma (fma (/ 1 beta) 2 (fma i 2 alpha)) (fma i 2 alpha) (- (/ 1 (sqr beta)) 1.0))) into (/ (* (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha)))) (fma (fma (/ 1 beta) 2 (fma i 2 alpha)) (fma i 2 alpha) (- (/ 1 (sqr beta)) 1.0)))
* [misc]backup-simplify:  Simplify (+ (* (/ (* (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha)))) (fma (fma (/ 1 beta) 2 (fma i 2 alpha)) (fma i 2 alpha) (- (/ 1 (sqr beta)) 1.0))) (* (pow (/ 1 beta) 3) (* 1 (/ 1 (/ 1 i))))) (+ (* (- (/ (* (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha)))) (fma (fma (/ 1 beta) 2 (fma i 2 alpha)) (fma i 2 alpha) (- (/ 1 (sqr beta)) 1.0)))) (* (sqr (/ 1 beta)) (* 1 (/ 1 (/ 1 i))))) (* (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))) (fma (fma (/ 1 beta) 2 (fma i 2 alpha)) (fma i 2 alpha) (- (/ 1 (sqr beta)) 1.0))) (* (/ 1 beta) (* 1 (/ 1 (/ 1 i))))))) into (- (+ (/ (* (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* i (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))))) (* (pow beta 3) (fma (fma (/ 1 beta) 2 (fma i 2 alpha)) (fma i 2 alpha) (- (/ 1 (sqr beta)) 1.0)))) (/ (* i (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha)))) (* beta (fma (fma (/ 1 beta) 2 (fma i 2 alpha)) (fma i 2 alpha) (- (/ 1 (sqr beta)) 1.0))))) (/ (* (fma (/ 1 i) 2 (/ 1 alpha)) (* i (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))))) (* (sqr beta) (fma (fma (/ 1 beta) 2 (fma i 2 alpha)) (fma i 2 alpha) (- (/ 1 (sqr beta)) 1.0)))))
* [misc]approximate:  Taking taylor expansion of (/ (* (fma (/ 1 (- i)) (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (* (/ 1 (- alpha)) (/ 1 (- beta)))) (/ (/ 1 (- i)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))))) (fma (fma (/ 1 (- beta)) 2 (fma (/ 1 (/ 1 (- i))) 2 (/ 1 (/ 1 (- alpha))))) (fma (/ 1 (/ 1 (- i))) 2 (/ 1 (/ 1 (- alpha)))) (- (sqr (/ 1 (- beta))) 1.0))) in (i alpha beta) around 0
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ 1 (- i)) (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (* (/ 1 (- alpha)) (/ 1 (- beta)))) (/ (/ 1 (- i)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))))) (fma (fma (/ 1 (- beta)) 2 (fma (/ 1 (/ 1 (- i))) 2 (/ 1 (/ 1 (- alpha))))) (fma (/ 1 (/ 1 (- i))) 2 (/ 1 (/ 1 (- alpha)))) (- (sqr (/ 1 (- beta))) 1.0))) in beta
* [misc]taylor:  Taking taylor expansion of (* (fma (/ 1 (- i)) (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (* (/ 1 (- alpha)) (/ 1 (- beta)))) (/ (/ 1 (- i)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (* (/ 1 (- alpha)) (/ 1 (- beta)))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (* (/ 1 (- alpha)) (/ 1 (- beta)))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- i)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in beta
* [misc]taylor:  Taking taylor expansion of (- i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (/ (/ -1 i) -1) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (fma (fma (/ 1 (- beta)) 2 (fma (/ 1 (/ 1 (- i))) 2 (/ 1 (/ 1 (- alpha))))) (fma (/ 1 (/ 1 (- i))) 2 (/ 1 (/ 1 (- alpha)))) (- (sqr (/ 1 (- beta))) 1.0)) in beta
* [misc]backup-simplify:  Simplify (fma (fma (/ 1 (- beta)) 2 (fma (/ 1 (/ 1 (- i))) 2 (/ 1 (/ 1 (- alpha))))) (fma (/ 1 (/ 1 (- i))) 2 (/ 1 (/ 1 (- alpha)))) (- (sqr (/ 1 (- beta))) 1.0)) into (fma (fma (/ -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (fma (* -1 i) 2 (* -1 alpha)) (- (/ 1 (sqr beta)) 1.0))
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (/ 1 i)) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)
* [misc]backup-simplify:  Simplify (/ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i) (fma (fma (/ -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (fma (* -1 i) 2 (* -1 alpha)) (- (/ 1 (sqr beta)) 1.0))) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* (fma (fma (/ -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (fma (* -1 i) 2 (* -1 alpha)) (- (/ 1 (sqr beta)) 1.0)) i))
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ 1 (- i)) (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (* (/ 1 (- alpha)) (/ 1 (- beta)))) (/ (/ 1 (- i)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))))) (fma (fma (/ 1 (- beta)) 2 (fma (/ 1 (/ 1 (- i))) 2 (/ 1 (/ 1 (- alpha))))) (fma (/ 1 (/ 1 (- i))) 2 (/ 1 (/ 1 (- alpha)))) (- (sqr (/ 1 (- beta))) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma (/ 1 (- i)) (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (* (/ 1 (- alpha)) (/ 1 (- beta)))) (/ (/ 1 (- i)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (* (/ 1 (- alpha)) (/ 1 (- beta)))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (* (/ 1 (- alpha)) (/ 1 (- beta)))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- i)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta)))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in alpha
* [misc]taylor:  Taking taylor expansion of (- i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]backup-simplify:  Simplify (+ (fma (/ -1 i) 2 (/ -1 alpha)) (/ -1 beta)) into (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))
* [misc]backup-simplify:  Simplify (/ (/ -1 i) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) into (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))
* [misc]taylor:  Taking taylor expansion of (fma (fma (/ 1 (- beta)) 2 (fma (/ 1 (/ 1 (- i))) 2 (/ 1 (/ 1 (- alpha))))) (fma (/ 1 (/ 1 (- i))) 2 (/ 1 (/ 1 (- alpha)))) (- (sqr (/ 1 (- beta))) 1.0)) in alpha
* [misc]backup-simplify:  Simplify (fma (fma (/ 1 (- beta)) 2 (fma (/ 1 (/ 1 (- i))) 2 (/ 1 (/ 1 (- alpha))))) (fma (/ 1 (/ 1 (- i))) 2 (/ 1 (/ 1 (- alpha)))) (- (sqr (/ 1 (- beta))) 1.0)) into (fma (fma (/ -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (fma (* -1 i) 2 (* -1 alpha)) (- (/ 1 (sqr beta)) 1.0))
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) into (* -1 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i)))
* [misc]backup-simplify:  Simplify (/ (* -1 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) (fma (fma (/ -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (fma (* -1 i) 2 (* -1 alpha)) (- (/ 1 (sqr beta)) 1.0))) into (* -1 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) (* (fma (fma (/ -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (fma (* -1 i) 2 (* -1 alpha)) (- (/ 1 (sqr beta)) 1.0)) i))))
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ 1 (- i)) (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (* (/ 1 (- alpha)) (/ 1 (- beta)))) (/ (/ 1 (- i)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))))) (fma (fma (/ 1 (- beta)) 2 (fma (/ 1 (/ 1 (- i))) 2 (/ 1 (/ 1 (- alpha))))) (fma (/ 1 (/ 1 (- i))) 2 (/ 1 (/ 1 (- alpha)))) (- (sqr (/ 1 (- beta))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of (* (fma (/ 1 (- i)) (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (* (/ 1 (- alpha)) (/ 1 (- beta)))) (/ (/ 1 (- i)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (* (/ 1 (- alpha)) (/ 1 (- beta)))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (* (/ 1 (- alpha)) (/ 1 (- beta)))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- i)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta)))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in i
* [misc]taylor:  Taking taylor expansion of (- i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in i
* [misc]taylor:  Taking taylor expansion of (- beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]backup-simplify:  Simplify (+ (fma (/ -1 i) 2 (/ -1 alpha)) (/ -1 beta)) into (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))
* [misc]backup-simplify:  Simplify (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) into (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))
* [misc]taylor:  Taking taylor expansion of (fma (fma (/ 1 (- beta)) 2 (fma (/ 1 (/ 1 (- i))) 2 (/ 1 (/ 1 (- alpha))))) (fma (/ 1 (/ 1 (- i))) 2 (/ 1 (/ 1 (- alpha)))) (- (sqr (/ 1 (- beta))) 1.0)) in i
* [misc]backup-simplify:  Simplify (fma (fma (/ 1 (- beta)) 2 (fma (/ 1 (/ 1 (- i))) 2 (/ 1 (/ 1 (- alpha))))) (fma (/ 1 (/ 1 (- i))) 2 (/ 1 (/ 1 (- alpha)))) (- (sqr (/ 1 (- beta))) 1.0)) into (fma (fma (/ -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (fma (* -1 i) 2 (* -1 alpha)) (- (/ 1 (sqr beta)) 1.0))
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))) into (* -1 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))
* [misc]backup-simplify:  Simplify (/ (* -1 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))) (fma (fma (/ -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (fma (* -1 i) 2 (* -1 alpha)) (- (/ 1 (sqr beta)) 1.0))) into (* -1 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) (fma (fma (/ -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (fma (* -1 i) 2 (* -1 alpha)) (- (/ 1 (sqr beta)) 1.0)))))
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ 1 (- i)) (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (* (/ 1 (- alpha)) (/ 1 (- beta)))) (/ (/ 1 (- i)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))))) (fma (fma (/ 1 (- beta)) 2 (fma (/ 1 (/ 1 (- i))) 2 (/ 1 (/ 1 (- alpha))))) (fma (/ 1 (/ 1 (- i))) 2 (/ 1 (/ 1 (- alpha)))) (- (sqr (/ 1 (- beta))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of (* (fma (/ 1 (- i)) (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (* (/ 1 (- alpha)) (/ 1 (- beta)))) (/ (/ 1 (- i)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (* (/ 1 (- alpha)) (/ 1 (- beta)))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (* (/ 1 (- alpha)) (/ 1 (- beta)))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- i)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta)))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in i
* [misc]taylor:  Taking taylor expansion of (- i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in i
* [misc]taylor:  Taking taylor expansion of (- beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]backup-simplify:  Simplify (+ (fma (/ -1 i) 2 (/ -1 alpha)) (/ -1 beta)) into (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))
* [misc]backup-simplify:  Simplify (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) into (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))
* [misc]taylor:  Taking taylor expansion of (fma (fma (/ 1 (- beta)) 2 (fma (/ 1 (/ 1 (- i))) 2 (/ 1 (/ 1 (- alpha))))) (fma (/ 1 (/ 1 (- i))) 2 (/ 1 (/ 1 (- alpha)))) (- (sqr (/ 1 (- beta))) 1.0)) in i
* [misc]backup-simplify:  Simplify (fma (fma (/ 1 (- beta)) 2 (fma (/ 1 (/ 1 (- i))) 2 (/ 1 (/ 1 (- alpha))))) (fma (/ 1 (/ 1 (- i))) 2 (/ 1 (/ 1 (- alpha)))) (- (sqr (/ 1 (- beta))) 1.0)) into (fma (fma (/ -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (fma (* -1 i) 2 (* -1 alpha)) (- (/ 1 (sqr beta)) 1.0))
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))) into (* -1 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))
* [misc]backup-simplify:  Simplify (/ (* -1 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))) (fma (fma (/ -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (fma (* -1 i) 2 (* -1 alpha)) (- (/ 1 (sqr beta)) 1.0))) into (* -1 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) (fma (fma (/ -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (fma (* -1 i) 2 (* -1 alpha)) (- (/ 1 (sqr beta)) 1.0)))))
* [misc]taylor:  Taking taylor expansion of (* -1 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) (fma (fma (/ -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (fma (* -1 i) 2 (* -1 alpha)) (- (/ 1 (sqr beta)) 1.0))))) in alpha
* [misc]taylor:  Taking taylor expansion of -1 in alpha
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) (fma (fma (/ -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (fma (* -1 i) 2 (* -1 alpha)) (- (/ 1 (sqr beta)) 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) (fma (fma (/ -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (fma (* -1 i) 2 (* -1 alpha)) (- (/ 1 (sqr beta)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (fma (/ -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (fma (* -1 i) 2 (* -1 alpha)) (- (/ 1 (sqr beta)) 1.0)) in alpha
* [misc]backup-simplify:  Simplify (fma (fma (/ -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (fma (* -1 i) 2 (* -1 alpha)) (- (/ 1 (sqr beta)) 1.0)) into (fma (fma (/ -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (fma (* -1 i) 2 (* -1 alpha)) (- (/ 1 (sqr beta)) 1.0))
* [misc]backup-simplify:  Simplify (- (/ 1 beta)) into (- (/ 1 beta))
* [misc]backup-simplify:  Simplify (+ (fma (/ -1 i) 2 (/ -1 alpha)) (- (/ 1 beta))) into (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))
* [misc]backup-simplify:  Simplify (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) (fma (fma (/ -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (fma (* -1 i) 2 (* -1 alpha)) (- (/ 1 (sqr beta)) 1.0))) into (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) (fma (fma (/ -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (fma (* -1 i) 2 (* -1 alpha)) (- (/ 1 (sqr beta)) 1.0)))
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) (fma (fma (/ -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (fma (* -1 i) 2 (* -1 alpha)) (- (/ 1 (sqr beta)) 1.0)))) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) (fma (fma (/ -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (fma (* -1 i) 2 (* -1 alpha)) (- (/ 1 (sqr beta)) 1.0))))
* [misc]backup-simplify:  Simplify (* -1 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) (fma (fma (/ -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (fma (* -1 i) 2 (* -1 alpha)) (- (/ 1 (sqr beta)) 1.0))))) into (* -1 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) (fma (fma (/ -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (fma (* -1 i) 2 (* -1 alpha)) (- (/ 1 (sqr beta)) 1.0)))))
* [misc]taylor:  Taking taylor expansion of (* -1 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) (fma (fma (/ -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (fma (* -1 i) 2 (* -1 alpha)) (- (/ 1 (sqr beta)) 1.0))))) in beta
* [misc]taylor:  Taking taylor expansion of -1 in beta
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) (fma (fma (/ -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (fma (* -1 i) 2 (* -1 alpha)) (- (/ 1 (sqr beta)) 1.0)))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in beta
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) (fma (fma (/ -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (fma (* -1 i) 2 (* -1 alpha)) (- (/ 1 (sqr beta)) 1.0))) in beta
* [misc]taylor:  Taking taylor expansion of (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in beta
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (fma (fma (/ -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (fma (* -1 i) 2 (* -1 alpha)) (- (/ 1 (sqr beta)) 1.0)) in beta
* [misc]backup-simplify:  Simplify (fma (fma (/ -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (fma (* -1 i) 2 (* -1 alpha)) (- (/ 1 (sqr beta)) 1.0)) into (fma (fma (/ -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (fma (* -1 i) 2 (* -1 alpha)) (- (/ 1 (sqr beta)) 1.0))
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (* -1 (fma (fma (/ -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (fma (* -1 i) 2 (* -1 alpha)) (- (/ 1 (sqr beta)) 1.0))) into (* -1 (fma (fma (/ -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (fma (* -1 i) 2 (* -1 alpha)) (- (/ 1 (sqr beta)) 1.0)))
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* -1 (fma (fma (/ -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (fma (* -1 i) 2 (* -1 alpha)) (- (/ 1 (sqr beta)) 1.0)))) into (* -1 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (fma (/ -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (fma (* -1 i) 2 (* -1 alpha)) (- (/ 1 (sqr beta)) 1.0))))
* [misc]backup-simplify:  Simplify (* -1 (* -1 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (fma (/ -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (fma (* -1 i) 2 (* -1 alpha)) (- (/ 1 (sqr beta)) 1.0))))) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (fma (/ -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (fma (* -1 i) 2 (* -1 alpha)) (- (/ 1 (sqr beta)) 1.0)))
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (fma (/ -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (fma (* -1 i) 2 (* -1 alpha)) (- (/ 1 (sqr beta)) 1.0))) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (fma (/ -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (fma (* -1 i) 2 (* -1 alpha)) (- (/ 1 (sqr beta)) 1.0)))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 beta) (/ 0 (- beta))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (+ (* (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (/ 0 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 0) (* 0 (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (fma (fma (/ -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (fma (* -1 i) 2 (* -1 alpha)) (- (/ 1 (sqr beta)) 1.0))) (+ (* (* -1 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) (fma (fma (/ -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (fma (* -1 i) 2 (* -1 alpha)) (- (/ 1 (sqr beta)) 1.0))))) (/ 0 (fma (fma (/ -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (fma (* -1 i) 2 (* -1 alpha)) (- (/ 1 (sqr beta)) 1.0)))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) 0) (* 0 (fma (fma (/ -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (fma (* -1 i) 2 (* -1 alpha)) (- (/ 1 (sqr beta)) 1.0)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) (fma (fma (/ -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (fma (* -1 i) 2 (* -1 alpha)) (- (/ 1 (sqr beta)) 1.0)))) (+ (* (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) (fma (fma (/ -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (fma (* -1 i) 2 (* -1 alpha)) (- (/ 1 (sqr beta)) 1.0)))) (/ 0 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) (fma (fma (/ -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (fma (* -1 i) 2 (* -1 alpha)) (- (/ 1 (sqr beta)) 1.0))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* 0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) (fma (fma (/ -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (fma (* -1 i) 2 (* -1 alpha)) (- (/ 1 (sqr beta)) 1.0)))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (fma (/ -1 i) 2 (/ -1 alpha)) 0) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (fma (/ -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (fma (* -1 i) 2 (* -1 alpha)) (- (/ 1 (sqr beta)) 1.0)))) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (fma (/ -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (fma (* -1 i) 2 (* -1 alpha)) (- (/ 1 (sqr beta)) 1.0)))
* [misc]backup-simplify:  Simplify (- (/ 0 (* -1 (fma (fma (/ -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (fma (* -1 i) 2 (* -1 alpha)) (- (/ 1 (sqr beta)) 1.0)))) (+ (* (* -1 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (fma (/ -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (fma (* -1 i) 2 (* -1 alpha)) (- (/ 1 (sqr beta)) 1.0)))) (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (fma (/ -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (fma (* -1 i) 2 (* -1 alpha)) (- (/ 1 (sqr beta)) 1.0))) (* -1 (fma (fma (/ -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (fma (* -1 i) 2 (* -1 alpha)) (- (/ 1 (sqr beta)) 1.0))))))) into (- (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (fma (fma (/ -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (fma (* -1 i) 2 (* -1 alpha)) (- (/ 1 (sqr beta)) 1.0))))
* [misc]backup-simplify:  Simplify (+ (* -1 (- (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (fma (fma (/ -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (fma (* -1 i) 2 (* -1 alpha)) (- (/ 1 (sqr beta)) 1.0))))) (* 0 (* -1 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (fma (/ -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (fma (* -1 i) 2 (* -1 alpha)) (- (/ 1 (sqr beta)) 1.0)))))) into (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (fma (fma (/ -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (fma (* -1 i) 2 (* -1 alpha)) (- (/ 1 (sqr beta)) 1.0)))
* [misc]backup-simplify:  Simplify (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (fma (fma (/ -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (fma (* -1 i) 2 (* -1 alpha)) (- (/ 1 (sqr beta)) 1.0))) into (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (fma (fma (/ -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (fma (* -1 i) 2 (* -1 alpha)) (- (/ 1 (sqr beta)) 1.0)))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 beta) (/ 0 (- beta))) (* 0 (/ 0 (- beta))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (+ (* (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (/ 0 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))) (* 0 (/ 0 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 0) (+ (* 0 0) (* 0 (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (fma (fma (/ -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (fma (* -1 i) 2 (* -1 alpha)) (- (/ 1 (sqr beta)) 1.0))) (+ (* (* -1 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) (fma (fma (/ -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (fma (* -1 i) 2 (* -1 alpha)) (- (/ 1 (sqr beta)) 1.0))))) (/ 0 (fma (fma (/ -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (fma (* -1 i) 2 (* -1 alpha)) (- (/ 1 (sqr beta)) 1.0)))) (* 0 (/ 0 (fma (fma (/ -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (fma (* -1 i) 2 (* -1 alpha)) (- (/ 1 (sqr beta)) 1.0)))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) 0) (+ (* 0 0) (* 0 (fma (fma (/ -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (fma (* -1 i) 2 (* -1 alpha)) (- (/ 1 (sqr beta)) 1.0))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) (fma (fma (/ -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (fma (* -1 i) 2 (* -1 alpha)) (- (/ 1 (sqr beta)) 1.0)))) (+ (* (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) (fma (fma (/ -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (fma (* -1 i) 2 (* -1 alpha)) (- (/ 1 (sqr beta)) 1.0)))) (/ 0 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) (fma (fma (/ -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (fma (* -1 i) 2 (* -1 alpha)) (- (/ 1 (sqr beta)) 1.0))))) (* 0 (/ 0 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) (fma (fma (/ -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (fma (* -1 i) 2 (* -1 alpha)) (- (/ 1 (sqr beta)) 1.0))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) (fma (fma (/ -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (fma (* -1 i) 2 (* -1 alpha)) (- (/ 1 (sqr beta)) 1.0))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* (fma (/ -1 i) 2 (/ -1 alpha)) 0) (* 0 (fma (fma (/ -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (fma (* -1 i) 2 (* -1 alpha)) (- (/ 1 (sqr beta)) 1.0))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* -1 (fma (fma (/ -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (fma (* -1 i) 2 (* -1 alpha)) (- (/ 1 (sqr beta)) 1.0)))) (+ (* (* -1 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (fma (/ -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (fma (* -1 i) 2 (* -1 alpha)) (- (/ 1 (sqr beta)) 1.0)))) (/ 0 (* -1 (fma (fma (/ -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (fma (* -1 i) 2 (* -1 alpha)) (- (/ 1 (sqr beta)) 1.0))))) (* (- (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (fma (fma (/ -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (fma (* -1 i) 2 (* -1 alpha)) (- (/ 1 (sqr beta)) 1.0)))) (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (fma (/ -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (fma (* -1 i) 2 (* -1 alpha)) (- (/ 1 (sqr beta)) 1.0))) (* -1 (fma (fma (/ -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (fma (* -1 i) 2 (* -1 alpha)) (- (/ 1 (sqr beta)) 1.0))))))) into (- (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (fma (fma (/ -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (fma (* -1 i) 2 (* -1 alpha)) (- (/ 1 (sqr beta)) 1.0))))
* [misc]backup-simplify:  Simplify (+ (* -1 (- (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (fma (fma (/ -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (fma (* -1 i) 2 (* -1 alpha)) (- (/ 1 (sqr beta)) 1.0))))) (+ (* 0 (- (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (fma (fma (/ -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (fma (* -1 i) 2 (* -1 alpha)) (- (/ 1 (sqr beta)) 1.0))))) (* 0 (* -1 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (fma (/ -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (fma (* -1 i) 2 (* -1 alpha)) (- (/ 1 (sqr beta)) 1.0))))))) into (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (fma (fma (/ -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (fma (* -1 i) 2 (* -1 alpha)) (- (/ 1 (sqr beta)) 1.0)))
* [misc]backup-simplify:  Simplify (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (fma (fma (/ -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (fma (* -1 i) 2 (* -1 alpha)) (- (/ 1 (sqr beta)) 1.0))) into (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (fma (fma (/ -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (fma (* -1 i) 2 (* -1 alpha)) (- (/ 1 (sqr beta)) 1.0)))
* [misc]backup-simplify:  Simplify (+ (* (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (fma (fma (/ -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (fma (* -1 i) 2 (* -1 alpha)) (- (/ 1 (sqr beta)) 1.0))) (* (pow (/ 1 (- beta)) 3) (* 1 (/ 1 (/ 1 (- i)))))) (+ (* (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (fma (fma (/ -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (fma (* -1 i) 2 (* -1 alpha)) (- (/ 1 (sqr beta)) 1.0))) (* (sqr (/ 1 (- beta))) (* 1 (/ 1 (/ 1 (- i)))))) (* (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (fma (/ -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (fma (* -1 i) 2 (* -1 alpha)) (- (/ 1 (sqr beta)) 1.0))) (* (/ 1 (- beta)) (* 1 (/ 1 (/ 1 (- i)))))))) into (- (+ (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)) (* (pow beta 3) (fma (fma (/ -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (fma (* -1 i) 2 (* -1 alpha)) (- (/ 1 (sqr beta)) 1.0)))) (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i) (* (fma (fma (/ -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (fma (* -1 i) 2 (* -1 alpha)) (- (/ 1 (sqr beta)) 1.0)) beta))) (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) (* (sqr beta) (fma (fma (/ -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (fma (* -1 i) 2 (* -1 alpha)) (- (/ 1 (sqr beta)) 1.0)))))
* [misc]approximate:  Taking taylor expansion of (* (fma i (+ (+ alpha i) beta) (* alpha beta)) (/ i (+ (fma i 2 alpha) beta))) in (i alpha beta) around 0
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ (+ alpha i) beta) (* alpha beta)) (/ i (+ (fma i 2 alpha) beta))) in beta
* [misc]taylor:  Taking taylor expansion of (fma i (+ (+ alpha i) beta) (* alpha beta)) in beta
* [misc]backup-simplify:  Simplify (fma i (+ (+ alpha i) beta) (* alpha beta)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (/ i (+ (fma i 2 alpha) beta)) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (+ (fma i 2 alpha) beta) in beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in beta
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ (fma i 2 alpha) 0) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (/ i (fma i 2 alpha)) into (/ i (fma i 2 alpha))
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ (+ alpha i) beta) (* alpha beta)) (/ i (+ (fma i 2 alpha) beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i (+ (+ alpha i) beta) (* alpha beta)) in alpha
* [misc]backup-simplify:  Simplify (fma i (+ (+ alpha i) beta) (* alpha beta)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (/ i (+ (fma i 2 alpha) beta)) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (+ (fma i 2 alpha) beta) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (+ (fma i 2 alpha) beta) into (+ beta (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (/ i (+ beta (fma i 2 alpha))) into (/ i (+ beta (fma i 2 alpha)))
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ (+ alpha i) beta) (* alpha beta)) (/ i (+ (fma i 2 alpha) beta))) in i
* [misc]taylor:  Taking taylor expansion of (fma i (+ (+ alpha i) beta) (* alpha beta)) in i
* [misc]backup-simplify:  Simplify (fma i (+ (+ alpha i) beta) (* alpha beta)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (/ i (+ (fma i 2 alpha) beta)) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ (fma i 2 alpha) beta) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (+ (fma i 2 alpha) beta) into (+ beta (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (/ 1 (+ beta (fma i 2 alpha))) into (/ 1 (+ beta (fma i 2 alpha)))
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ (+ alpha i) beta) (* alpha beta)) (/ i (+ (fma i 2 alpha) beta))) in i
* [misc]taylor:  Taking taylor expansion of (fma i (+ (+ alpha i) beta) (* alpha beta)) in i
* [misc]backup-simplify:  Simplify (fma i (+ (+ alpha i) beta) (* alpha beta)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (/ i (+ (fma i 2 alpha) beta)) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ (fma i 2 alpha) beta) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (+ (fma i 2 alpha) beta) into (+ beta (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (/ 1 (+ beta (fma i 2 alpha))) into (/ 1 (+ beta (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (/ 1 (+ beta (fma i 2 alpha)))) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (+ beta (fma i 2 alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (+ beta (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ beta (fma i 2 alpha)) into (+ beta (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (+ beta (fma i 2 alpha))) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (+ beta (fma i 2 alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (+ beta (fma i 2 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in beta
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in beta
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ 0 (fma i 2 alpha)) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha)) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha)) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ beta (fma i 2 alpha))) (+ (* (/ 1 (+ beta (fma i 2 alpha))) (/ 0 (+ beta (fma i 2 alpha)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) (* 0 (/ 1 (+ beta (fma i 2 alpha))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ beta (fma i 2 alpha))) (+ (* (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (+ beta (fma i 2 alpha))) (/ 0 (+ beta (fma i 2 alpha)))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (- (/ 0 (fma i 2 alpha)) (+ (* (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha)) (/ 1 (fma i 2 alpha))))) into (- (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr (fma i 2 alpha))))
* [misc]backup-simplify:  Simplify (- (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr (fma i 2 alpha)))) into (- (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr (fma i 2 alpha))))
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ beta (fma i 2 alpha))) (+ (* (/ 1 (+ beta (fma i 2 alpha))) (/ 0 (+ beta (fma i 2 alpha)))) (* 0 (/ 0 (+ beta (fma i 2 alpha)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) (+ (* 0 0) (* 0 (/ 1 (+ beta (fma i 2 alpha)))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ beta (fma i 2 alpha))) (+ (* (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (+ beta (fma i 2 alpha))) (/ 0 (+ beta (fma i 2 alpha)))) (* 0 (/ 0 (+ beta (fma i 2 alpha)))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (fma i 2 alpha)) (+ (* (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha)) (/ 0 (fma i 2 alpha))) (* (- (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr (fma i 2 alpha)))) (/ 1 (fma i 2 alpha))))) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (pow (fma i 2 alpha) 3))
* [misc]backup-simplify:  Simplify (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (pow (fma i 2 alpha) 3)) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (pow (fma i 2 alpha) 3))
* [misc]backup-simplify:  Simplify (+ (* (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (pow (fma i 2 alpha) 3)) (* (sqr beta) (* 1 i))) (+ (* (- (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr (fma i 2 alpha)))) (* beta (* 1 i))) (* (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha)) (* 1 (* 1 i))))) into (- (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr beta) i)) (pow (fma i 2 alpha) 3)) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (fma i 2 alpha))) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* beta i)) (sqr (fma i 2 alpha))))
* [misc]approximate:  Taking taylor expansion of (* (fma (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (* (/ 1 alpha) (/ 1 beta))) (/ (/ 1 i) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)))) in (i alpha beta) around 0
* [misc]taylor:  Taking taylor expansion of (* (fma (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (* (/ 1 alpha) (/ 1 beta))) (/ (/ 1 i) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (* (/ 1 alpha) (/ 1 beta))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (* (/ 1 alpha) (/ 1 beta))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 i) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (/ (/ 1 i) 1) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (* (fma (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (* (/ 1 alpha) (/ 1 beta))) (/ (/ 1 i) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (* (/ 1 alpha) (/ 1 beta))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (* (/ 1 alpha) (/ 1 beta))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 i) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]backup-simplify:  Simplify (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) into (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) into (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))
* [misc]taylor:  Taking taylor expansion of (* (fma (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (* (/ 1 alpha) (/ 1 beta))) (/ (/ 1 i) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (* (/ 1 alpha) (/ 1 beta))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (* (/ 1 alpha) (/ 1 beta))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 i) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]backup-simplify:  Simplify (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) into (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) into (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (* (fma (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (* (/ 1 alpha) (/ 1 beta))) (/ (/ 1 i) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (* (/ 1 alpha) (/ 1 beta))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (* (/ 1 alpha) (/ 1 beta))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 i) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]backup-simplify:  Simplify (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) into (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) into (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))) (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) into (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))) 1) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (+ (* (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (/ 0 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))) 0) (* 0 (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (+ (* (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (/ 0 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (fma (/ 1 i) 2 (/ 1 alpha))) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))) (/ (fma (/ 1 i) 2 (/ 1 alpha)) 1)))) into (- (* (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha)))))
* [misc]backup-simplify:  Simplify (- (* (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))))) into (- (* (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha)))))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (+ (* (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (/ 0 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (* 0 (/ 0 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))) 0) (+ (* 0 0) (* 0 (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (+ (* (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (/ 0 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (* 0 (/ 0 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))) (/ 0 1)) (* (- (* (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))))) (/ (fma (/ 1 i) 2 (/ 1 alpha)) 1)))) into (* (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (* (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha)))) into (* (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (+ (* (* (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha)))) (* (pow (/ 1 beta) 3) (* 1 (/ 1 (/ 1 i))))) (+ (* (- (* (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))))) (* (sqr (/ 1 beta)) (* 1 (/ 1 (/ 1 i))))) (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))) (* (/ 1 beta) (* 1 (/ 1 (/ 1 i))))))) into (- (+ (/ (* (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* i (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))))) (pow beta 3)) (/ (* i (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha)))) beta)) (/ (* (fma (/ 1 i) 2 (/ 1 alpha)) (* i (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))))) (sqr beta)))
* [misc]approximate:  Taking taylor expansion of (* (fma (/ 1 (- i)) (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (* (/ 1 (- alpha)) (/ 1 (- beta)))) (/ (/ 1 (- i)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))))) in (i alpha beta) around 0
* [misc]taylor:  Taking taylor expansion of (* (fma (/ 1 (- i)) (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (* (/ 1 (- alpha)) (/ 1 (- beta)))) (/ (/ 1 (- i)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (* (/ 1 (- alpha)) (/ 1 (- beta)))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (* (/ 1 (- alpha)) (/ 1 (- beta)))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- i)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in beta
* [misc]taylor:  Taking taylor expansion of (- i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (/ (/ -1 i) -1) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (* (fma (/ 1 (- i)) (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (* (/ 1 (- alpha)) (/ 1 (- beta)))) (/ (/ 1 (- i)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (* (/ 1 (- alpha)) (/ 1 (- beta)))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (* (/ 1 (- alpha)) (/ 1 (- beta)))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- i)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta)))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in alpha
* [misc]taylor:  Taking taylor expansion of (- i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]backup-simplify:  Simplify (+ (fma (/ -1 i) 2 (/ -1 alpha)) (/ -1 beta)) into (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))
* [misc]backup-simplify:  Simplify (/ (/ -1 i) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) into (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))
* [misc]taylor:  Taking taylor expansion of (* (fma (/ 1 (- i)) (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (* (/ 1 (- alpha)) (/ 1 (- beta)))) (/ (/ 1 (- i)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (* (/ 1 (- alpha)) (/ 1 (- beta)))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (* (/ 1 (- alpha)) (/ 1 (- beta)))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- i)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta)))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in i
* [misc]taylor:  Taking taylor expansion of (- i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in i
* [misc]taylor:  Taking taylor expansion of (- beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]backup-simplify:  Simplify (+ (fma (/ -1 i) 2 (/ -1 alpha)) (/ -1 beta)) into (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))
* [misc]backup-simplify:  Simplify (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) into (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))
* [misc]taylor:  Taking taylor expansion of (* (fma (/ 1 (- i)) (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (* (/ 1 (- alpha)) (/ 1 (- beta)))) (/ (/ 1 (- i)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (* (/ 1 (- alpha)) (/ 1 (- beta)))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (* (/ 1 (- alpha)) (/ 1 (- beta)))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- i)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta)))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in i
* [misc]taylor:  Taking taylor expansion of (- i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in i
* [misc]taylor:  Taking taylor expansion of (- beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]backup-simplify:  Simplify (+ (fma (/ -1 i) 2 (/ -1 alpha)) (/ -1 beta)) into (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))
* [misc]backup-simplify:  Simplify (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) into (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))) into (* -1 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))
* [misc]taylor:  Taking taylor expansion of (* -1 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))) in alpha
* [misc]taylor:  Taking taylor expansion of -1 in alpha
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]backup-simplify:  Simplify (- (/ 1 beta)) into (- (/ 1 beta))
* [misc]backup-simplify:  Simplify (+ (fma (/ -1 i) 2 (/ -1 alpha)) (- (/ 1 beta))) into (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))
* [misc]backup-simplify:  Simplify (* -1 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))) into (* -1 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))
* [misc]taylor:  Taking taylor expansion of (* -1 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))) in beta
* [misc]taylor:  Taking taylor expansion of -1 in beta
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) in beta
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in beta
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) -1) into (* -1 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (* -1 (* -1 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 beta) (/ 0 (- beta))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (+ (* (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (/ 0 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 0) (* 0 (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (+ (* (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (/ 0 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* 0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (fma (/ -1 i) 2 (/ -1 alpha)) 0) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (- (/ 0 -1) (+ (* (* -1 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (/ (fma (/ -1 i) 2 (/ -1 alpha)) -1)))) into (- (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))
* [misc]backup-simplify:  Simplify (+ (* -1 (- (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) (* 0 (* -1 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 beta) (/ 0 (- beta))) (* 0 (/ 0 (- beta))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (+ (* (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (/ 0 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))) (* 0 (/ 0 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 0) (+ (* 0 0) (* 0 (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (+ (* (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (/ 0 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))) (* 0 (/ 0 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 -1) (+ (* (* -1 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (/ 0 -1)) (* (- (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (/ (fma (/ -1 i) 2 (/ -1 alpha)) -1)))) into (- (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))
* [misc]backup-simplify:  Simplify (+ (* -1 (- (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))) (+ (* 0 (- (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) (* 0 (* -1 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))))) into (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) into (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (+ (* (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (pow (/ 1 (- beta)) 3) (* 1 (/ 1 (/ 1 (- i)))))) (+ (* (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* (sqr (/ 1 (- beta))) (* 1 (/ 1 (/ 1 (- i)))))) (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* (/ 1 (- beta)) (* 1 (/ 1 (/ 1 (- i)))))))) into (- (+ (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i) beta) (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) (pow beta 3))) (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)) (sqr beta)))
* [misc]approximate:  Taking taylor expansion of (fma (fma beta 2 (fma (/ 1 i) 2 (/ 1 alpha))) (fma (/ 1 i) 2 (/ 1 alpha)) (- (sqr beta) 1.0)) in (beta i alpha) around 0
* [misc]taylor:  Taking taylor expansion of (fma (fma beta 2 (fma (/ 1 i) 2 (/ 1 alpha))) (fma (/ 1 i) 2 (/ 1 alpha)) (- (sqr beta) 1.0)) in alpha
* [misc]backup-simplify:  Simplify (fma (fma beta 2 (fma (/ 1 i) 2 (/ 1 alpha))) (fma (/ 1 i) 2 (/ 1 alpha)) (- (sqr beta) 1.0)) into (fma (fma beta 2 (fma (/ 1 i) 2 (/ 1 alpha))) (fma (/ 1 i) 2 (/ 1 alpha)) (- (sqr beta) 1.0))
* [misc]taylor:  Taking taylor expansion of (fma (fma beta 2 (fma (/ 1 i) 2 (/ 1 alpha))) (fma (/ 1 i) 2 (/ 1 alpha)) (- (sqr beta) 1.0)) in i
* [misc]backup-simplify:  Simplify (fma (fma beta 2 (fma (/ 1 i) 2 (/ 1 alpha))) (fma (/ 1 i) 2 (/ 1 alpha)) (- (sqr beta) 1.0)) into (fma (fma beta 2 (fma (/ 1 i) 2 (/ 1 alpha))) (fma (/ 1 i) 2 (/ 1 alpha)) (- (sqr beta) 1.0))
* [misc]taylor:  Taking taylor expansion of (fma (fma beta 2 (fma (/ 1 i) 2 (/ 1 alpha))) (fma (/ 1 i) 2 (/ 1 alpha)) (- (sqr beta) 1.0)) in beta
* [misc]backup-simplify:  Simplify (fma (fma beta 2 (fma (/ 1 i) 2 (/ 1 alpha))) (fma (/ 1 i) 2 (/ 1 alpha)) (- (sqr beta) 1.0)) into (fma (fma beta 2 (fma (/ 1 i) 2 (/ 1 alpha))) (fma (/ 1 i) 2 (/ 1 alpha)) (- (sqr beta) 1.0))
* [misc]taylor:  Taking taylor expansion of (fma (fma beta 2 (fma (/ 1 i) 2 (/ 1 alpha))) (fma (/ 1 i) 2 (/ 1 alpha)) (- (sqr beta) 1.0)) in beta
* [misc]backup-simplify:  Simplify (fma (fma beta 2 (fma (/ 1 i) 2 (/ 1 alpha))) (fma (/ 1 i) 2 (/ 1 alpha)) (- (sqr beta) 1.0)) into (fma (fma beta 2 (fma (/ 1 i) 2 (/ 1 alpha))) (fma (/ 1 i) 2 (/ 1 alpha)) (- (sqr beta) 1.0))
* [misc]taylor:  Taking taylor expansion of (fma (fma beta 2 (fma (/ 1 i) 2 (/ 1 alpha))) (fma (/ 1 i) 2 (/ 1 alpha)) (- (sqr beta) 1.0)) in i
* [misc]backup-simplify:  Simplify (fma (fma beta 2 (fma (/ 1 i) 2 (/ 1 alpha))) (fma (/ 1 i) 2 (/ 1 alpha)) (- (sqr beta) 1.0)) into (fma (fma beta 2 (fma (/ 1 i) 2 (/ 1 alpha))) (fma (/ 1 i) 2 (/ 1 alpha)) (- (sqr beta) 1.0))
* [misc]taylor:  Taking taylor expansion of (fma (fma beta 2 (fma (/ 1 i) 2 (/ 1 alpha))) (fma (/ 1 i) 2 (/ 1 alpha)) (- (sqr beta) 1.0)) in alpha
* [misc]backup-simplify:  Simplify (fma (fma beta 2 (fma (/ 1 i) 2 (/ 1 alpha))) (fma (/ 1 i) 2 (/ 1 alpha)) (- (sqr beta) 1.0)) into (fma (fma beta 2 (fma (/ 1 i) 2 (/ 1 alpha))) (fma (/ 1 i) 2 (/ 1 alpha)) (- (sqr beta) 1.0))
* [misc]backup-simplify:  Simplify (fma (fma beta 2 (fma (/ 1 i) 2 (/ 1 alpha))) (fma (/ 1 i) 2 (/ 1 alpha)) (- (sqr beta) 1.0)) into (fma (fma beta 2 (fma (/ 1 i) 2 (/ 1 alpha))) (fma (/ 1 i) 2 (/ 1 alpha)) (- (sqr beta) 1.0))
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (fma (fma beta 2 (fma (/ 1 i) 2 (/ 1 alpha))) (fma (/ 1 i) 2 (/ 1 alpha)) (- (sqr beta) 1.0)) into (fma (fma beta 2 (fma (/ 1 i) 2 (/ 1 alpha))) (fma (/ 1 i) 2 (/ 1 alpha)) (- (sqr beta) 1.0))
* [misc]approximate:  Taking taylor expansion of (fma (fma (/ 1 beta) 2 (fma (/ 1 (/ 1 i)) 2 (/ 1 (/ 1 alpha)))) (fma (/ 1 (/ 1 i)) 2 (/ 1 (/ 1 alpha))) (- (sqr (/ 1 beta)) 1.0)) in (beta i alpha) around 0
* [misc]taylor:  Taking taylor expansion of (fma (fma (/ 1 beta) 2 (fma (/ 1 (/ 1 i)) 2 (/ 1 (/ 1 alpha)))) (fma (/ 1 (/ 1 i)) 2 (/ 1 (/ 1 alpha))) (- (sqr (/ 1 beta)) 1.0)) in alpha
* [misc]backup-simplify:  Simplify (fma (fma (/ 1 beta) 2 (fma (/ 1 (/ 1 i)) 2 (/ 1 (/ 1 alpha)))) (fma (/ 1 (/ 1 i)) 2 (/ 1 (/ 1 alpha))) (- (sqr (/ 1 beta)) 1.0)) into (fma (fma (/ 1 beta) 2 (fma i 2 alpha)) (fma i 2 alpha) (- (/ 1 (sqr beta)) 1.0))
* [misc]taylor:  Taking taylor expansion of (fma (fma (/ 1 beta) 2 (fma (/ 1 (/ 1 i)) 2 (/ 1 (/ 1 alpha)))) (fma (/ 1 (/ 1 i)) 2 (/ 1 (/ 1 alpha))) (- (sqr (/ 1 beta)) 1.0)) in i
* [misc]backup-simplify:  Simplify (fma (fma (/ 1 beta) 2 (fma (/ 1 (/ 1 i)) 2 (/ 1 (/ 1 alpha)))) (fma (/ 1 (/ 1 i)) 2 (/ 1 (/ 1 alpha))) (- (sqr (/ 1 beta)) 1.0)) into (fma (fma (/ 1 beta) 2 (fma i 2 alpha)) (fma i 2 alpha) (- (/ 1 (sqr beta)) 1.0))
* [misc]taylor:  Taking taylor expansion of (fma (fma (/ 1 beta) 2 (fma (/ 1 (/ 1 i)) 2 (/ 1 (/ 1 alpha)))) (fma (/ 1 (/ 1 i)) 2 (/ 1 (/ 1 alpha))) (- (sqr (/ 1 beta)) 1.0)) in beta
* [misc]backup-simplify:  Simplify (fma (fma (/ 1 beta) 2 (fma (/ 1 (/ 1 i)) 2 (/ 1 (/ 1 alpha)))) (fma (/ 1 (/ 1 i)) 2 (/ 1 (/ 1 alpha))) (- (sqr (/ 1 beta)) 1.0)) into (fma (fma (/ 1 beta) 2 (fma i 2 alpha)) (fma i 2 alpha) (- (/ 1 (sqr beta)) 1.0))
* [misc]taylor:  Taking taylor expansion of (fma (fma (/ 1 beta) 2 (fma (/ 1 (/ 1 i)) 2 (/ 1 (/ 1 alpha)))) (fma (/ 1 (/ 1 i)) 2 (/ 1 (/ 1 alpha))) (- (sqr (/ 1 beta)) 1.0)) in beta
* [misc]backup-simplify:  Simplify (fma (fma (/ 1 beta) 2 (fma (/ 1 (/ 1 i)) 2 (/ 1 (/ 1 alpha)))) (fma (/ 1 (/ 1 i)) 2 (/ 1 (/ 1 alpha))) (- (sqr (/ 1 beta)) 1.0)) into (fma (fma (/ 1 beta) 2 (fma i 2 alpha)) (fma i 2 alpha) (- (/ 1 (sqr beta)) 1.0))
* [misc]taylor:  Taking taylor expansion of (fma (fma (/ 1 beta) 2 (fma i 2 alpha)) (fma i 2 alpha) (- (/ 1 (sqr beta)) 1.0)) in i
* [misc]backup-simplify:  Simplify (fma (fma (/ 1 beta) 2 (fma i 2 alpha)) (fma i 2 alpha) (- (/ 1 (sqr beta)) 1.0)) into (fma (fma (/ 1 beta) 2 (fma i 2 alpha)) (fma i 2 alpha) (- (/ 1 (sqr beta)) 1.0))
* [misc]taylor:  Taking taylor expansion of (fma (fma (/ 1 beta) 2 (fma i 2 alpha)) (fma i 2 alpha) (- (/ 1 (sqr beta)) 1.0)) in alpha
* [misc]backup-simplify:  Simplify (fma (fma (/ 1 beta) 2 (fma i 2 alpha)) (fma i 2 alpha) (- (/ 1 (sqr beta)) 1.0)) into (fma (fma (/ 1 beta) 2 (fma i 2 alpha)) (fma i 2 alpha) (- (/ 1 (sqr beta)) 1.0))
* [misc]backup-simplify:  Simplify (fma (fma (/ 1 beta) 2 (fma i 2 alpha)) (fma i 2 alpha) (- (/ 1 (sqr beta)) 1.0)) into (fma (fma (/ 1 beta) 2 (fma i 2 alpha)) (fma i 2 alpha) (- (/ 1 (sqr beta)) 1.0))
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (fma (fma (/ 1 beta) 2 (fma i 2 alpha)) (fma i 2 alpha) (- (/ 1 (sqr beta)) 1.0)) into (fma (fma (/ 1 beta) 2 (fma i 2 alpha)) (fma i 2 alpha) (- (/ 1 (sqr beta)) 1.0))
* [misc]approximate:  Taking taylor expansion of (fma (fma (/ 1 (- beta)) 2 (fma (/ 1 (/ 1 (- i))) 2 (/ 1 (/ 1 (- alpha))))) (fma (/ 1 (/ 1 (- i))) 2 (/ 1 (/ 1 (- alpha)))) (- (sqr (/ 1 (- beta))) 1.0)) in (beta i alpha) around 0
* [misc]taylor:  Taking taylor expansion of (fma (fma (/ 1 (- beta)) 2 (fma (/ 1 (/ 1 (- i))) 2 (/ 1 (/ 1 (- alpha))))) (fma (/ 1 (/ 1 (- i))) 2 (/ 1 (/ 1 (- alpha)))) (- (sqr (/ 1 (- beta))) 1.0)) in alpha
* [misc]backup-simplify:  Simplify (fma (fma (/ 1 (- beta)) 2 (fma (/ 1 (/ 1 (- i))) 2 (/ 1 (/ 1 (- alpha))))) (fma (/ 1 (/ 1 (- i))) 2 (/ 1 (/ 1 (- alpha)))) (- (sqr (/ 1 (- beta))) 1.0)) into (fma (fma (/ -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (fma (* -1 i) 2 (* -1 alpha)) (- (/ 1 (sqr beta)) 1.0))
* [misc]taylor:  Taking taylor expansion of (fma (fma (/ 1 (- beta)) 2 (fma (/ 1 (/ 1 (- i))) 2 (/ 1 (/ 1 (- alpha))))) (fma (/ 1 (/ 1 (- i))) 2 (/ 1 (/ 1 (- alpha)))) (- (sqr (/ 1 (- beta))) 1.0)) in i
* [misc]backup-simplify:  Simplify (fma (fma (/ 1 (- beta)) 2 (fma (/ 1 (/ 1 (- i))) 2 (/ 1 (/ 1 (- alpha))))) (fma (/ 1 (/ 1 (- i))) 2 (/ 1 (/ 1 (- alpha)))) (- (sqr (/ 1 (- beta))) 1.0)) into (fma (fma (/ -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (fma (* -1 i) 2 (* -1 alpha)) (- (/ 1 (sqr beta)) 1.0))
* [misc]taylor:  Taking taylor expansion of (fma (fma (/ 1 (- beta)) 2 (fma (/ 1 (/ 1 (- i))) 2 (/ 1 (/ 1 (- alpha))))) (fma (/ 1 (/ 1 (- i))) 2 (/ 1 (/ 1 (- alpha)))) (- (sqr (/ 1 (- beta))) 1.0)) in beta
* [misc]backup-simplify:  Simplify (fma (fma (/ 1 (- beta)) 2 (fma (/ 1 (/ 1 (- i))) 2 (/ 1 (/ 1 (- alpha))))) (fma (/ 1 (/ 1 (- i))) 2 (/ 1 (/ 1 (- alpha)))) (- (sqr (/ 1 (- beta))) 1.0)) into (fma (fma (/ -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (fma (* -1 i) 2 (* -1 alpha)) (- (/ 1 (sqr beta)) 1.0))
* [misc]taylor:  Taking taylor expansion of (fma (fma (/ 1 (- beta)) 2 (fma (/ 1 (/ 1 (- i))) 2 (/ 1 (/ 1 (- alpha))))) (fma (/ 1 (/ 1 (- i))) 2 (/ 1 (/ 1 (- alpha)))) (- (sqr (/ 1 (- beta))) 1.0)) in beta
* [misc]backup-simplify:  Simplify (fma (fma (/ 1 (- beta)) 2 (fma (/ 1 (/ 1 (- i))) 2 (/ 1 (/ 1 (- alpha))))) (fma (/ 1 (/ 1 (- i))) 2 (/ 1 (/ 1 (- alpha)))) (- (sqr (/ 1 (- beta))) 1.0)) into (fma (fma (/ -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (fma (* -1 i) 2 (* -1 alpha)) (- (/ 1 (sqr beta)) 1.0))
* [misc]taylor:  Taking taylor expansion of (fma (fma (/ -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (fma (* -1 i) 2 (* -1 alpha)) (- (/ 1 (sqr beta)) 1.0)) in i
* [misc]backup-simplify:  Simplify (fma (fma (/ -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (fma (* -1 i) 2 (* -1 alpha)) (- (/ 1 (sqr beta)) 1.0)) into (fma (fma (/ -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (fma (* -1 i) 2 (* -1 alpha)) (- (/ 1 (sqr beta)) 1.0))
* [misc]taylor:  Taking taylor expansion of (fma (fma (/ -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (fma (* -1 i) 2 (* -1 alpha)) (- (/ 1 (sqr beta)) 1.0)) in alpha
* [misc]backup-simplify:  Simplify (fma (fma (/ -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (fma (* -1 i) 2 (* -1 alpha)) (- (/ 1 (sqr beta)) 1.0)) into (fma (fma (/ -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (fma (* -1 i) 2 (* -1 alpha)) (- (/ 1 (sqr beta)) 1.0))
* [misc]backup-simplify:  Simplify (fma (fma (/ -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (fma (* -1 i) 2 (* -1 alpha)) (- (/ 1 (sqr beta)) 1.0)) into (fma (fma (/ -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (fma (* -1 i) 2 (* -1 alpha)) (- (/ 1 (sqr beta)) 1.0))
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (fma (fma (/ -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (fma (* -1 i) 2 (* -1 alpha)) (- (/ 1 (sqr beta)) 1.0)) into (fma (fma (/ -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (fma (* -1 i) 2 (* -1 alpha)) (- (/ 1 (sqr beta)) 1.0))
* [misc]approximate:  Taking taylor expansion of (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) in (alpha i beta) around 0
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ alpha i) beta) in beta
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ (fma i 2 alpha) beta) in beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in beta
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ alpha i) into (+ alpha i)
* [misc]backup-simplify:  Simplify (+ (+ alpha i) 0) into (+ alpha i)
* [misc]backup-simplify:  Simplify (+ (fma i 2 alpha) 0) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (/ (+ alpha i) (fma i 2 alpha)) into (/ (+ alpha i) (fma i 2 alpha))
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) in i
* [misc]taylor:  Taking taylor expansion of (+ (+ alpha i) beta) in i
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (+ (fma i 2 alpha) beta) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (+ alpha 0) into alpha
* [misc]backup-simplify:  Simplify (+ alpha beta) into (+ beta alpha)
* [misc]backup-simplify:  Simplify (+ (fma i 2 alpha) beta) into (+ beta (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (/ (+ beta alpha) (+ beta (fma i 2 alpha))) into (/ (+ beta alpha) (+ beta (fma i 2 alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ alpha i) beta) in alpha
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (+ (fma i 2 alpha) beta) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (+ 0 i) into i
* [misc]backup-simplify:  Simplify (+ i beta) into (+ beta i)
* [misc]backup-simplify:  Simplify (+ (fma i 2 alpha) beta) into (+ beta (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (/ (+ beta i) (+ beta (fma i 2 alpha))) into (/ (+ beta i) (+ beta (fma i 2 alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ alpha i) beta) in alpha
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (+ (fma i 2 alpha) beta) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (+ 0 i) into i
* [misc]backup-simplify:  Simplify (+ i beta) into (+ beta i)
* [misc]backup-simplify:  Simplify (+ (fma i 2 alpha) beta) into (+ beta (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (/ (+ beta i) (+ beta (fma i 2 alpha))) into (/ (+ beta i) (+ beta (fma i 2 alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (+ beta i) (+ beta (fma i 2 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (+ beta (fma i 2 alpha)) into (+ beta (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (/ beta (+ beta (fma i 2 alpha))) into (/ beta (+ beta (fma i 2 alpha)))
* [misc]taylor:  Taking taylor expansion of (/ beta (+ beta (fma i 2 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in beta
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ 0 (fma i 2 alpha)) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (/ 1 (fma i 2 alpha)) into (/ 1 (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 1 (+ beta (fma i 2 alpha))) (+ (* (/ (+ beta i) (+ beta (fma i 2 alpha))) (/ 0 (+ beta (fma i 2 alpha)))))) into (/ 1 (+ beta (fma i 2 alpha)))
* [misc]taylor:  Taking taylor expansion of (/ 1 (+ beta (fma i 2 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ beta (fma i 2 alpha)) into (+ beta (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (/ 1 (+ beta (fma i 2 alpha))) into (/ 1 (+ beta (fma i 2 alpha)))
* [misc]taylor:  Taking taylor expansion of (/ 1 (+ beta (fma i 2 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in beta
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ 0 (fma i 2 alpha)) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (/ 1 (fma i 2 alpha)) into (/ 1 (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (/ 1 (fma i 2 alpha)) into (/ 1 (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 1 (+ beta (fma i 2 alpha))) (+ (* (/ beta (+ beta (fma i 2 alpha))) (/ 0 (+ beta (fma i 2 alpha)))))) into (/ 1 (+ beta (fma i 2 alpha)))
* [misc]taylor:  Taking taylor expansion of (/ 1 (+ beta (fma i 2 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in beta
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ 0 (fma i 2 alpha)) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (/ 1 (fma i 2 alpha)) into (/ 1 (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (/ 1 (fma i 2 alpha)) into (/ 1 (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (/ 1 (fma i 2 alpha)) into (/ 1 (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (+ (* (/ 1 (fma i 2 alpha)) (* beta (* 1 1))) (+ (* (/ 1 (fma i 2 alpha)) (* 1 (* i 1))) (* (/ 1 (fma i 2 alpha)) (* 1 (* 1 alpha))))) into (+ (/ i (fma i 2 alpha)) (+ (/ beta (fma i 2 alpha)) (/ alpha (fma i 2 alpha))))
* [misc]approximate:  Taking taylor expansion of (/ (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta))) in (alpha i beta) around 0
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 alpha) (/ 1 i)) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta))) in i
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) in i
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 alpha) (/ 1 i)) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) into (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) into (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 alpha) (/ 1 i)) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) into (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) into (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 alpha) (/ 1 i)) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) into (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) into (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) into (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) into (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 i)) into (/ 1 i)
* [misc]backup-simplify:  Simplify (+ (/ 1 i) (/ 1 beta)) into (+ (/ 1 beta) (/ 1 i))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ (+ (/ 1 beta) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (+ (* (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (/ 0 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))) into (+ (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i)) (/ 1 (* beta (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i)) (/ 1 (* beta (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i)) in i
* [misc]taylor:  Taking taylor expansion of (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i) in i
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) into (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) 1) (* 0 0)) into (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) into (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (/ 1 (* beta (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (* beta (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) into (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* beta (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) into (* beta (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (/ 1 (* beta (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) into (/ 1 (* beta (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (+ (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 0) into (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (+ (* (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (/ 0 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (* (+ (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i)) (/ 1 (* beta (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) (/ 0 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) 0) (+ (* 0 1) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (/ 0 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 (* beta (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) into (/ 1 (* beta (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))
* [misc]taylor:  Taking taylor expansion of (/ 1 (* beta (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (* beta (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (* 0 1) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (fma (/ 1 i) 2 (/ 1 alpha))) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (* 0 (fma (/ 1 i) 2 (/ 1 alpha))) (* 1 1)) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (/ 0 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ (* 1 (* (/ 1 beta) (* 1 (/ 1 (/ 1 alpha))))) (+ (* 1 (* (/ 1 beta) (* (/ 1 (/ 1 i)) 1))) 1)) into (+ 1 (+ (/ alpha beta) (/ i beta)))
* [misc]approximate:  Taking taylor expansion of (/ (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta)))) in (alpha i beta) around 0
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta)))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- alpha)) (/ 1 (- i))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in beta
* [misc]taylor:  Taking taylor expansion of (- i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (/ -1 -1) into 1
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta)))) in i
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) in i
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- alpha)) (/ 1 (- i))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in i
* [misc]taylor:  Taking taylor expansion of (- alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in i
* [misc]taylor:  Taking taylor expansion of (- i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in i
* [misc]taylor:  Taking taylor expansion of (- beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in i
* [misc]taylor:  Taking taylor expansion of (- beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (+ (fma (/ -1 i) 2 (/ -1 alpha)) (/ -1 beta)) into (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))
* [misc]backup-simplify:  Simplify (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) into (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta)))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- alpha)) (/ 1 (- i))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (- alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in alpha
* [misc]taylor:  Taking taylor expansion of (- i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (+ (fma (/ -1 i) 2 (/ -1 alpha)) (/ -1 beta)) into (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))
* [misc]backup-simplify:  Simplify (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) into (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta)))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- alpha)) (/ 1 (- i))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (- alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in alpha
* [misc]taylor:  Taking taylor expansion of (- i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (+ (fma (/ -1 i) 2 (/ -1 alpha)) (/ -1 beta)) into (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))
* [misc]backup-simplify:  Simplify (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) into (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))
* [misc]taylor:  Taking taylor expansion of (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) in i
* [misc]taylor:  Taking taylor expansion of -1 in i
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]taylor:  Taking taylor expansion of (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]backup-simplify:  Simplify (- (/ 1 beta)) into (- (/ 1 beta))
* [misc]backup-simplify:  Simplify (+ (fma (/ -1 i) 2 (/ -1 alpha)) (- (/ 1 beta))) into (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))
* [misc]backup-simplify:  Simplify (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) into (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (/ -1 i)) into (- (/ 1 i))
* [misc]backup-simplify:  Simplify (+ (- (/ 1 i)) (/ -1 beta)) into (- (+ (/ 1 beta) (/ 1 i)))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 beta) (/ 0 (- beta))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ (- (+ (/ 1 beta) (/ 1 i))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (+ (* (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (/ 0 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))) into (- (+ (/ 1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i)) (/ 1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) beta))))
* [misc]taylor:  Taking taylor expansion of (- (+ (/ 1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i)) (/ 1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) beta)))) in i
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i)) (/ 1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) beta))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i)) in i
* [misc]taylor:  Taking taylor expansion of (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i) in i
* [misc]taylor:  Taking taylor expansion of (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- (/ 1 beta)) into (- (/ 1 beta))
* [misc]backup-simplify:  Simplify (+ (fma (/ -1 i) 2 (/ -1 alpha)) (- (/ 1 beta))) into (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))
* [misc]backup-simplify:  Simplify (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) 1) (* 0 0)) into (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))
* [misc]backup-simplify:  Simplify (/ 1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) into (/ 1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) beta)) in i
* [misc]taylor:  Taking taylor expansion of (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) beta) in i
* [misc]taylor:  Taking taylor expansion of (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- (/ 1 beta)) into (- (/ 1 beta))
* [misc]backup-simplify:  Simplify (+ (fma (/ -1 i) 2 (/ -1 alpha)) (- (/ 1 beta))) into (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))
* [misc]backup-simplify:  Simplify (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) beta) into (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) beta)
* [misc]backup-simplify:  Simplify (/ 1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) beta)) into (/ 1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) beta))
* [misc]backup-simplify:  Simplify (+ (/ 1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) 0) into (/ 1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))
* [misc]backup-simplify:  Simplify (- (/ 1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))) into (- (/ 1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))
* [misc]taylor:  Taking taylor expansion of (- (/ 1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) in beta
* [misc]taylor:  Taking taylor expansion of (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in beta
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) in beta
* [misc]taylor:  Taking taylor expansion of -1 in beta
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]taylor:  Taking taylor expansion of (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in beta
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (/ -1 -1) into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 i) (/ 0 (- i))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 beta) (/ 0 (- beta))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 beta) (/ 0 (- beta))) (* 0 (/ 0 (- beta))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (+ (* (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (/ 0 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))) (* (- (+ (/ 1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i)) (/ 1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) beta)))) (/ 0 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) 0) (+ (* 0 1) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (/ 0 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) beta))) into (/ 1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) beta))
* [misc]backup-simplify:  Simplify (- (/ 1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) beta))) into (- (/ 1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) beta)))
* [misc]taylor:  Taking taylor expansion of (- (/ 1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) beta))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) beta)) in beta
* [misc]taylor:  Taking taylor expansion of (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) beta) in beta
* [misc]taylor:  Taking taylor expansion of (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in beta
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (* -1 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (fma (/ -1 i) 2 (/ -1 alpha)) 0) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (+ (* -1 1) (* (fma (/ -1 i) 2 (/ -1 alpha)) 0)) into (- 1)
* [misc]backup-simplify:  Simplify (/ 1 (- 1)) into -1
* [misc]backup-simplify:  Simplify (- -1) into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (+ (* (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (/ 0 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- -1) into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ (* 1 (* (/ 1 (- beta)) (* 1 (/ 1 (/ 1 (- alpha)))))) (+ (* 1 (* (/ 1 (- beta)) (* (/ 1 (/ 1 (- i))) 1))) 1)) into (+ 1 (+ (/ alpha beta) (/ i beta)))
* * * [misc]progress:  tayloring alt 2 of 10
* [misc]approximate:  Taking taylor expansion of (/ (* (* (cube (/ (cbrt (+ (+ beta alpha) i)) (cbrt (+ beta (fma i 2 alpha))))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)) in (beta alpha i) around 0
* [misc]taylor:  Taking taylor expansion of (/ (* (* (cube (/ (cbrt (+ (+ beta alpha) i)) (cbrt (+ beta (fma i 2 alpha))))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (* (* (cube (/ (cbrt (+ (+ beta alpha) i)) (cbrt (+ beta (fma i 2 alpha))))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (* (cube (/ (cbrt (+ (+ beta alpha) i)) (cbrt (+ beta (fma i 2 alpha))))) (fma i (+ (+ beta alpha) i) (* alpha beta))) in i
* [misc]taylor:  Taking taylor expansion of (cube (/ (cbrt (+ (+ beta alpha) i)) (cbrt (+ beta (fma i 2 alpha))))) in i
* [misc]backup-simplify:  Simplify (cube (/ (cbrt (+ (+ beta alpha) i)) (cbrt (+ beta (fma i 2 alpha))))) into (cube (/ (cbrt (+ beta (+ alpha i))) (cbrt (+ beta (fma i 2 alpha)))))
* [misc]taylor:  Taking taylor expansion of (fma i (+ (+ beta alpha) i) (* alpha beta)) in i
* [misc]backup-simplify:  Simplify (fma i (+ (+ beta alpha) i) (* alpha beta)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (/ i (+ beta (fma i 2 alpha))) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ beta (fma i 2 alpha)) into (+ beta (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (/ 1 (+ beta (fma i 2 alpha))) into (/ 1 (+ beta (fma i 2 alpha)))
* [misc]taylor:  Taking taylor expansion of (- (sqr (+ beta (fma i 2 alpha))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (sqr (+ beta (fma i 2 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (cube (/ (cbrt (+ beta (+ alpha i))) (cbrt (+ beta (fma i 2 alpha))))) (fma i (+ beta (+ alpha i)) (* beta alpha))) into (* (cube (/ (cbrt (+ beta (+ alpha i))) (cbrt (+ beta (fma i 2 alpha))))) (fma i (+ beta (+ alpha i)) (* beta alpha)))
* [misc]backup-simplify:  Simplify (* (* (cube (/ (cbrt (+ beta (+ alpha i))) (cbrt (+ beta (fma i 2 alpha))))) (fma i (+ beta (+ alpha i)) (* beta alpha))) (/ 1 (+ beta (fma i 2 alpha)))) into (/ (* (cube (/ (cbrt (+ beta (+ alpha i))) (cbrt (+ beta (fma i 2 alpha))))) (fma i (+ beta (+ alpha i)) (* beta alpha))) (+ beta (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (+ beta (fma i 2 alpha)) into (+ beta (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* (+ beta (fma i 2 alpha)) (+ beta (fma i 2 alpha))) into (sqr (+ beta (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (+ beta (fma i 2 alpha))) (- 1.0)) into (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0)
* [misc]backup-simplify:  Simplify (/ (/ (* (cube (/ (cbrt (+ beta (+ alpha i))) (cbrt (+ beta (fma i 2 alpha))))) (fma i (+ beta (+ alpha i)) (* beta alpha))) (+ beta (fma i 2 alpha))) (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0)) into (/ (* (cube (/ (cbrt (+ beta (+ alpha i))) (cbrt (+ beta (fma i 2 alpha))))) (fma i (+ beta (+ alpha i)) (* beta alpha))) (* (+ beta (fma i 2 alpha)) (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0)))
* [misc]taylor:  Taking taylor expansion of (/ (* (* (cube (/ (cbrt (+ (+ beta alpha) i)) (cbrt (+ beta (fma i 2 alpha))))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (* (* (cube (/ (cbrt (+ (+ beta alpha) i)) (cbrt (+ beta (fma i 2 alpha))))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (cube (/ (cbrt (+ (+ beta alpha) i)) (cbrt (+ beta (fma i 2 alpha))))) (fma i (+ (+ beta alpha) i) (* alpha beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (cube (/ (cbrt (+ (+ beta alpha) i)) (cbrt (+ beta (fma i 2 alpha))))) in alpha
* [misc]backup-simplify:  Simplify (cube (/ (cbrt (+ (+ beta alpha) i)) (cbrt (+ beta (fma i 2 alpha))))) into (cube (/ (cbrt (+ beta (+ alpha i))) (cbrt (+ beta (fma i 2 alpha)))))
* [misc]taylor:  Taking taylor expansion of (fma i (+ (+ beta alpha) i) (* alpha beta)) in alpha
* [misc]backup-simplify:  Simplify (fma i (+ (+ beta alpha) i) (* alpha beta)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (/ i (+ beta (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ beta (fma i 2 alpha)) into (+ beta (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (/ i (+ beta (fma i 2 alpha))) into (/ i (+ beta (fma i 2 alpha)))
* [misc]taylor:  Taking taylor expansion of (- (sqr (+ beta (fma i 2 alpha))) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (+ beta (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (cube (/ (cbrt (+ beta (+ alpha i))) (cbrt (+ beta (fma i 2 alpha))))) (fma i (+ beta (+ alpha i)) (* beta alpha))) into (* (cube (/ (cbrt (+ beta (+ alpha i))) (cbrt (+ beta (fma i 2 alpha))))) (fma i (+ beta (+ alpha i)) (* beta alpha)))
* [misc]backup-simplify:  Simplify (* (* (cube (/ (cbrt (+ beta (+ alpha i))) (cbrt (+ beta (fma i 2 alpha))))) (fma i (+ beta (+ alpha i)) (* beta alpha))) (/ i (+ beta (fma i 2 alpha)))) into (/ (* (cube (/ (cbrt (+ beta (+ alpha i))) (cbrt (+ beta (fma i 2 alpha))))) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (+ beta (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (+ beta (fma i 2 alpha)) into (+ beta (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* (+ beta (fma i 2 alpha)) (+ beta (fma i 2 alpha))) into (sqr (+ beta (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (+ beta (fma i 2 alpha))) (- 1.0)) into (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0)
* [misc]backup-simplify:  Simplify (/ (/ (* (cube (/ (cbrt (+ beta (+ alpha i))) (cbrt (+ beta (fma i 2 alpha))))) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (+ beta (fma i 2 alpha))) (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0)) into (/ (* (cube (/ (cbrt (+ beta (+ alpha i))) (cbrt (+ beta (fma i 2 alpha))))) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (* (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0) (+ beta (fma i 2 alpha))))
* [misc]taylor:  Taking taylor expansion of (/ (* (* (cube (/ (cbrt (+ (+ beta alpha) i)) (cbrt (+ beta (fma i 2 alpha))))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)) in beta
* [misc]taylor:  Taking taylor expansion of (* (* (cube (/ (cbrt (+ (+ beta alpha) i)) (cbrt (+ beta (fma i 2 alpha))))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (* (cube (/ (cbrt (+ (+ beta alpha) i)) (cbrt (+ beta (fma i 2 alpha))))) (fma i (+ (+ beta alpha) i) (* alpha beta))) in beta
* [misc]taylor:  Taking taylor expansion of (cube (/ (cbrt (+ (+ beta alpha) i)) (cbrt (+ beta (fma i 2 alpha))))) in beta
* [misc]backup-simplify:  Simplify (cube (/ (cbrt (+ (+ beta alpha) i)) (cbrt (+ beta (fma i 2 alpha))))) into (cube (/ (cbrt (+ beta (+ alpha i))) (cbrt (+ beta (fma i 2 alpha)))))
* [misc]taylor:  Taking taylor expansion of (fma i (+ (+ beta alpha) i) (* alpha beta)) in beta
* [misc]backup-simplify:  Simplify (fma i (+ (+ beta alpha) i) (* alpha beta)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (/ i (+ beta (fma i 2 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in beta
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ 0 (fma i 2 alpha)) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (/ i (fma i 2 alpha)) into (/ i (fma i 2 alpha))
* [misc]taylor:  Taking taylor expansion of (- (sqr (+ beta (fma i 2 alpha))) 1.0) in beta
* [misc]taylor:  Taking taylor expansion of (sqr (+ beta (fma i 2 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in beta
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (cube (/ (cbrt (+ beta (+ alpha i))) (cbrt (+ beta (fma i 2 alpha))))) (fma i (+ beta (+ alpha i)) (* beta alpha))) into (* (cube (/ (cbrt (+ beta (+ alpha i))) (cbrt (+ beta (fma i 2 alpha))))) (fma i (+ beta (+ alpha i)) (* beta alpha)))
* [misc]backup-simplify:  Simplify (* (* (cube (/ (cbrt (+ beta (+ alpha i))) (cbrt (+ beta (fma i 2 alpha))))) (fma i (+ beta (+ alpha i)) (* beta alpha))) (/ i (fma i 2 alpha))) into (/ (* (cube (/ (cbrt (+ beta (+ alpha i))) (cbrt (+ beta (fma i 2 alpha))))) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (+ 0 (fma i 2 alpha)) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (/ (/ (* (cube (/ (cbrt (+ beta (+ alpha i))) (cbrt (+ beta (fma i 2 alpha))))) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)) into (/ (* (cube (/ (cbrt (+ beta (+ alpha i))) (cbrt (+ beta (fma i 2 alpha))))) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]taylor:  Taking taylor expansion of (/ (* (* (cube (/ (cbrt (+ (+ beta alpha) i)) (cbrt (+ beta (fma i 2 alpha))))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)) in beta
* [misc]taylor:  Taking taylor expansion of (* (* (cube (/ (cbrt (+ (+ beta alpha) i)) (cbrt (+ beta (fma i 2 alpha))))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (* (cube (/ (cbrt (+ (+ beta alpha) i)) (cbrt (+ beta (fma i 2 alpha))))) (fma i (+ (+ beta alpha) i) (* alpha beta))) in beta
* [misc]taylor:  Taking taylor expansion of (cube (/ (cbrt (+ (+ beta alpha) i)) (cbrt (+ beta (fma i 2 alpha))))) in beta
* [misc]backup-simplify:  Simplify (cube (/ (cbrt (+ (+ beta alpha) i)) (cbrt (+ beta (fma i 2 alpha))))) into (cube (/ (cbrt (+ beta (+ alpha i))) (cbrt (+ beta (fma i 2 alpha)))))
* [misc]taylor:  Taking taylor expansion of (fma i (+ (+ beta alpha) i) (* alpha beta)) in beta
* [misc]backup-simplify:  Simplify (fma i (+ (+ beta alpha) i) (* alpha beta)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (/ i (+ beta (fma i 2 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in beta
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ 0 (fma i 2 alpha)) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (/ i (fma i 2 alpha)) into (/ i (fma i 2 alpha))
* [misc]taylor:  Taking taylor expansion of (- (sqr (+ beta (fma i 2 alpha))) 1.0) in beta
* [misc]taylor:  Taking taylor expansion of (sqr (+ beta (fma i 2 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in beta
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (cube (/ (cbrt (+ beta (+ alpha i))) (cbrt (+ beta (fma i 2 alpha))))) (fma i (+ beta (+ alpha i)) (* beta alpha))) into (* (cube (/ (cbrt (+ beta (+ alpha i))) (cbrt (+ beta (fma i 2 alpha))))) (fma i (+ beta (+ alpha i)) (* beta alpha)))
* [misc]backup-simplify:  Simplify (* (* (cube (/ (cbrt (+ beta (+ alpha i))) (cbrt (+ beta (fma i 2 alpha))))) (fma i (+ beta (+ alpha i)) (* beta alpha))) (/ i (fma i 2 alpha))) into (/ (* (cube (/ (cbrt (+ beta (+ alpha i))) (cbrt (+ beta (fma i 2 alpha))))) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (+ 0 (fma i 2 alpha)) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (/ (/ (* (cube (/ (cbrt (+ beta (+ alpha i))) (cbrt (+ beta (fma i 2 alpha))))) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)) into (/ (* (cube (/ (cbrt (+ beta (+ alpha i))) (cbrt (+ beta (fma i 2 alpha))))) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]taylor:  Taking taylor expansion of (/ (* (cube (/ (cbrt (+ beta (+ alpha i))) (cbrt (+ beta (fma i 2 alpha))))) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (cube (/ (cbrt (+ beta (+ alpha i))) (cbrt (+ beta (fma i 2 alpha))))) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) in alpha
* [misc]taylor:  Taking taylor expansion of (cube (/ (cbrt (+ beta (+ alpha i))) (cbrt (+ beta (fma i 2 alpha))))) in alpha
* [misc]backup-simplify:  Simplify (cube (/ (cbrt (+ beta (+ alpha i))) (cbrt (+ beta (fma i 2 alpha))))) into (cube (/ (cbrt (+ beta (+ alpha i))) (cbrt (+ beta (fma i 2 alpha)))))
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) into (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)
* [misc]backup-simplify:  Simplify (* (cube (/ (cbrt (+ beta (+ alpha i))) (cbrt (+ beta (fma i 2 alpha))))) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) into (* (cube (/ (cbrt (+ beta (+ alpha i))) (cbrt (+ beta (fma i 2 alpha))))) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)) into (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (/ (* (cube (/ (cbrt (+ beta (+ alpha i))) (cbrt (+ beta (fma i 2 alpha))))) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))) into (/ (* (cube (/ (cbrt (+ beta (+ alpha i))) (cbrt (+ beta (fma i 2 alpha))))) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]taylor:  Taking taylor expansion of (/ (* (cube (/ (cbrt (+ beta (+ alpha i))) (cbrt (+ beta (fma i 2 alpha))))) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of (* (cube (/ (cbrt (+ beta (+ alpha i))) (cbrt (+ beta (fma i 2 alpha))))) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) in i
* [misc]taylor:  Taking taylor expansion of (cube (/ (cbrt (+ beta (+ alpha i))) (cbrt (+ beta (fma i 2 alpha))))) in i
* [misc]backup-simplify:  Simplify (cube (/ (cbrt (+ beta (+ alpha i))) (cbrt (+ beta (fma i 2 alpha))))) into (cube (/ (cbrt (+ beta (+ alpha i))) (cbrt (+ beta (fma i 2 alpha)))))
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) in i
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in i
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) into 0
* [misc]backup-simplify:  Simplify (* (cube (/ (cbrt (+ beta (+ alpha i))) (cbrt (+ beta (fma i 2 alpha))))) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 1) (* 0 0)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]backup-simplify:  Simplify (+ (* (cube (/ (cbrt (+ beta (+ alpha i))) (cbrt (+ beta (fma i 2 alpha))))) (fma i (+ beta (+ alpha i)) (* beta alpha))) (* 0 0)) into (* (cube (/ (cbrt (+ beta (+ alpha i))) (cbrt (+ beta (fma i 2 alpha))))) (fma i (+ beta (+ alpha i)) (* beta alpha)))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)) into (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (/ (* (cube (/ (cbrt (+ beta (+ alpha i))) (cbrt (+ beta (fma i 2 alpha))))) (fma i (+ beta (+ alpha i)) (* beta alpha))) (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))) into (/ (* (cube (/ (cbrt (+ beta (+ alpha i))) (cbrt (+ beta (fma i 2 alpha))))) (fma i (+ beta (+ alpha i)) (* beta alpha))) (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (/ (* (cube (/ (cbrt (+ beta (+ alpha i))) (cbrt (+ beta (fma i 2 alpha))))) (fma i (+ beta (+ alpha i)) (* beta alpha))) (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))) into (/ (* (cube (/ (cbrt (+ beta (+ alpha i))) (cbrt (+ beta (fma i 2 alpha))))) (fma i (+ beta (+ alpha i)) (* beta alpha))) (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (- (/ 0 (fma i 2 alpha)) (+ (* (/ i (fma i 2 alpha)) (/ 1 (fma i 2 alpha))))) into (- (/ i (sqr (fma i 2 alpha))))
* [misc]backup-simplify:  Simplify (+ (* (cube (/ (cbrt (+ beta (+ alpha i))) (cbrt (+ beta (fma i 2 alpha))))) 0) (* 0 (fma i (+ beta (+ alpha i)) (* beta alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* (cube (/ (cbrt (+ beta (+ alpha i))) (cbrt (+ beta (fma i 2 alpha))))) (fma i (+ beta (+ alpha i)) (* beta alpha))) (- (/ i (sqr (fma i 2 alpha))))) (* 0 (/ i (fma i 2 alpha)))) into (- (/ (* (cube (/ (cbrt (+ beta (+ alpha i))) (cbrt (+ beta (fma i 2 alpha))))) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (sqr (fma i 2 alpha))))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 1) (* 1 (fma i 2 alpha))) into (* 2 (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 (fma i 2 alpha)) 0) into (* 2 (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- (/ (- (/ (* (cube (/ (cbrt (+ beta (+ alpha i))) (cbrt (+ beta (fma i 2 alpha))))) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (sqr (fma i 2 alpha)))) (- (sqr (fma i 2 alpha)) 1.0)) (+ (* (/ (* (cube (/ (cbrt (+ beta (+ alpha i))) (cbrt (+ beta (fma i 2 alpha))))) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))) (/ (* 2 (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))))) into (- (+ (* 2 (/ (* (cube (/ (cbrt (+ beta (+ alpha i))) (cbrt (+ beta (fma i 2 alpha))))) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (/ (* (cube (/ (cbrt (+ beta (+ alpha i))) (cbrt (+ beta (fma i 2 alpha))))) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))))
* [misc]taylor:  Taking taylor expansion of (- (+ (* 2 (/ (* (cube (/ (cbrt (+ beta (+ alpha i))) (cbrt (+ beta (fma i 2 alpha))))) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (/ (* (cube (/ (cbrt (+ beta (+ alpha i))) (cbrt (+ beta (fma i 2 alpha))))) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* 2 (/ (* (cube (/ (cbrt (+ beta (+ alpha i))) (cbrt (+ beta (fma i 2 alpha))))) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (/ (* (cube (/ (cbrt (+ beta (+ alpha i))) (cbrt (+ beta (fma i 2 alpha))))) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* (cube (/ (cbrt (+ beta (+ alpha i))) (cbrt (+ beta (fma i 2 alpha))))) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* (cube (/ (cbrt (+ beta (+ alpha i))) (cbrt (+ beta (fma i 2 alpha))))) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (cube (/ (cbrt (+ beta (+ alpha i))) (cbrt (+ beta (fma i 2 alpha))))) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) in alpha
* [misc]taylor:  Taking taylor expansion of (cube (/ (cbrt (+ beta (+ alpha i))) (cbrt (+ beta (fma i 2 alpha))))) in alpha
* [misc]backup-simplify:  Simplify (cube (/ (cbrt (+ beta (+ alpha i))) (cbrt (+ beta (fma i 2 alpha))))) into (cube (/ (cbrt (+ beta (+ alpha i))) (cbrt (+ beta (fma i 2 alpha)))))
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (sqr (- (sqr (fma i 2 alpha)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) into (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)
* [misc]backup-simplify:  Simplify (* (cube (/ (cbrt (+ beta (+ alpha i))) (cbrt (+ beta (fma i 2 alpha))))) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) into (* (cube (/ (cbrt (+ beta (+ alpha i))) (cbrt (+ beta (fma i 2 alpha))))) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (- (sqr (fma i 2 alpha)) 1.0) (- (sqr (fma i 2 alpha)) 1.0)) into (sqr (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (/ (* (cube (/ (cbrt (+ beta (+ alpha i))) (cbrt (+ beta (fma i 2 alpha))))) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))) into (/ (* (cube (/ (cbrt (+ beta (+ alpha i))) (cbrt (+ beta (fma i 2 alpha))))) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]taylor:  Taking taylor expansion of (/ (* (cube (/ (cbrt (+ beta (+ alpha i))) (cbrt (+ beta (fma i 2 alpha))))) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (cube (/ (cbrt (+ beta (+ alpha i))) (cbrt (+ beta (fma i 2 alpha))))) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) in alpha
* [misc]taylor:  Taking taylor expansion of (cube (/ (cbrt (+ beta (+ alpha i))) (cbrt (+ beta (fma i 2 alpha))))) in alpha
* [misc]backup-simplify:  Simplify (cube (/ (cbrt (+ beta (+ alpha i))) (cbrt (+ beta (fma i 2 alpha))))) into (cube (/ (cbrt (+ beta (+ alpha i))) (cbrt (+ beta (fma i 2 alpha)))))
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) into (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)
* [misc]backup-simplify:  Simplify (* (cube (/ (cbrt (+ beta (+ alpha i))) (cbrt (+ beta (fma i 2 alpha))))) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) into (* (cube (/ (cbrt (+ beta (+ alpha i))) (cbrt (+ beta (fma i 2 alpha))))) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)) into (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (/ (* (cube (/ (cbrt (+ beta (+ alpha i))) (cbrt (+ beta (fma i 2 alpha))))) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) into (/ (* (cube (/ (cbrt (+ beta (+ alpha i))) (cbrt (+ beta (fma i 2 alpha))))) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (* 2 (/ (* (cube (/ (cbrt (+ beta (+ alpha i))) (cbrt (+ beta (fma i 2 alpha))))) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) into (* 2 (/ (* (cube (/ (cbrt (+ beta (+ alpha i))) (cbrt (+ beta (fma i 2 alpha))))) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))
* [misc]backup-simplify:  Simplify (+ (* 2 (/ (* (cube (/ (cbrt (+ beta (+ alpha i))) (cbrt (+ beta (fma i 2 alpha))))) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (/ (* (cube (/ (cbrt (+ beta (+ alpha i))) (cbrt (+ beta (fma i 2 alpha))))) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))) into (+ (* 2 (/ (* (cube (/ (cbrt (+ beta (+ alpha i))) (cbrt (+ beta (fma i 2 alpha))))) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (/ (* (cube (/ (cbrt (+ beta (+ alpha i))) (cbrt (+ beta (fma i 2 alpha))))) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))))
* [misc]backup-simplify:  Simplify (- (+ (* 2 (/ (* (cube (/ (cbrt (+ beta (+ alpha i))) (cbrt (+ beta (fma i 2 alpha))))) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (/ (* (cube (/ (cbrt (+ beta (+ alpha i))) (cbrt (+ beta (fma i 2 alpha))))) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))))) into (- (+ (* 2 (/ (* (cube (/ (cbrt (+ beta (+ alpha i))) (cbrt (+ beta (fma i 2 alpha))))) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (/ (* (cube (/ (cbrt (+ beta (+ alpha i))) (cbrt (+ beta (fma i 2 alpha))))) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))))
* [misc]taylor:  Taking taylor expansion of (- (+ (* 2 (/ (* (cube (/ (cbrt (+ beta (+ alpha i))) (cbrt (+ beta (fma i 2 alpha))))) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (/ (* (cube (/ (cbrt (+ beta (+ alpha i))) (cbrt (+ beta (fma i 2 alpha))))) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))))) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 2 (/ (* (cube (/ (cbrt (+ beta (+ alpha i))) (cbrt (+ beta (fma i 2 alpha))))) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (/ (* (cube (/ (cbrt (+ beta (+ alpha i))) (cbrt (+ beta (fma i 2 alpha))))) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* (cube (/ (cbrt (+ beta (+ alpha i))) (cbrt (+ beta (fma i 2 alpha))))) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* (cube (/ (cbrt (+ beta (+ alpha i))) (cbrt (+ beta (fma i 2 alpha))))) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (sqr (- (sqr (fma i 2 alpha)) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of (* (cube (/ (cbrt (+ beta (+ alpha i))) (cbrt (+ beta (fma i 2 alpha))))) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) in i
* [misc]taylor:  Taking taylor expansion of (cube (/ (cbrt (+ beta (+ alpha i))) (cbrt (+ beta (fma i 2 alpha))))) in i
* [misc]backup-simplify:  Simplify (cube (/ (cbrt (+ beta (+ alpha i))) (cbrt (+ beta (fma i 2 alpha))))) into (cube (/ (cbrt (+ beta (+ alpha i))) (cbrt (+ beta (fma i 2 alpha)))))
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) in i
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in i
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (sqr (- (sqr (fma i 2 alpha)) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) into 0
* [misc]backup-simplify:  Simplify (* (cube (/ (cbrt (+ beta (+ alpha i))) (cbrt (+ beta (fma i 2 alpha))))) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 1) (* 0 0)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]backup-simplify:  Simplify (+ (* (cube (/ (cbrt (+ beta (+ alpha i))) (cbrt (+ beta (fma i 2 alpha))))) (fma i (+ beta (+ alpha i)) (* beta alpha))) (* 0 0)) into (* (cube (/ (cbrt (+ beta (+ alpha i))) (cbrt (+ beta (fma i 2 alpha))))) (fma i (+ beta (+ alpha i)) (* beta alpha)))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (- (sqr (fma i 2 alpha)) 1.0) (- (sqr (fma i 2 alpha)) 1.0)) into (sqr (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (/ (* (cube (/ (cbrt (+ beta (+ alpha i))) (cbrt (+ beta (fma i 2 alpha))))) (fma i (+ beta (+ alpha i)) (* beta alpha))) (sqr (- (sqr (fma i 2 alpha)) 1.0))) into (/ (* (cube (/ (cbrt (+ beta (+ alpha i))) (cbrt (+ beta (fma i 2 alpha))))) (fma i (+ beta (+ alpha i)) (* beta alpha))) (sqr (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]taylor:  Taking taylor expansion of (/ (* (cube (/ (cbrt (+ beta (+ alpha i))) (cbrt (+ beta (fma i 2 alpha))))) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of (* (cube (/ (cbrt (+ beta (+ alpha i))) (cbrt (+ beta (fma i 2 alpha))))) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) in i
* [misc]taylor:  Taking taylor expansion of (cube (/ (cbrt (+ beta (+ alpha i))) (cbrt (+ beta (fma i 2 alpha))))) in i
* [misc]backup-simplify:  Simplify (cube (/ (cbrt (+ beta (+ alpha i))) (cbrt (+ beta (fma i 2 alpha))))) into (cube (/ (cbrt (+ beta (+ alpha i))) (cbrt (+ beta (fma i 2 alpha)))))
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) in i
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in i
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) into 0
* [misc]backup-simplify:  Simplify (* (cube (/ (cbrt (+ beta (+ alpha i))) (cbrt (+ beta (fma i 2 alpha))))) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 1) (* 0 0)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]backup-simplify:  Simplify (+ (* (cube (/ (cbrt (+ beta (+ alpha i))) (cbrt (+ beta (fma i 2 alpha))))) (fma i (+ beta (+ alpha i)) (* beta alpha))) (* 0 0)) into (* (cube (/ (cbrt (+ beta (+ alpha i))) (cbrt (+ beta (fma i 2 alpha))))) (fma i (+ beta (+ alpha i)) (* beta alpha)))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)) into (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (/ (* (cube (/ (cbrt (+ beta (+ alpha i))) (cbrt (+ beta (fma i 2 alpha))))) (fma i (+ beta (+ alpha i)) (* beta alpha))) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) into (/ (* (cube (/ (cbrt (+ beta (+ alpha i))) (cbrt (+ beta (fma i 2 alpha))))) (fma i (+ beta (+ alpha i)) (* beta alpha))) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (* 2 (/ (* (cube (/ (cbrt (+ beta (+ alpha i))) (cbrt (+ beta (fma i 2 alpha))))) (fma i (+ beta (+ alpha i)) (* beta alpha))) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) into (* 2 (/ (* (cube (/ (cbrt (+ beta (+ alpha i))) (cbrt (+ beta (fma i 2 alpha))))) (fma i (+ beta (+ alpha i)) (* beta alpha))) (sqr (- (sqr (fma i 2 alpha)) 1.0))))
* [misc]backup-simplify:  Simplify (+ (* 2 (/ (* (cube (/ (cbrt (+ beta (+ alpha i))) (cbrt (+ beta (fma i 2 alpha))))) (fma i (+ beta (+ alpha i)) (* beta alpha))) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (/ (* (cube (/ (cbrt (+ beta (+ alpha i))) (cbrt (+ beta (fma i 2 alpha))))) (fma i (+ beta (+ alpha i)) (* beta alpha))) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))) into (+ (* 2 (/ (* (cube (/ (cbrt (+ beta (+ alpha i))) (cbrt (+ beta (fma i 2 alpha))))) (fma i (+ beta (+ alpha i)) (* beta alpha))) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (/ (* (cube (/ (cbrt (+ beta (+ alpha i))) (cbrt (+ beta (fma i 2 alpha))))) (fma i (+ beta (+ alpha i)) (* beta alpha))) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))))
* [misc]backup-simplify:  Simplify (- (+ (* 2 (/ (* (cube (/ (cbrt (+ beta (+ alpha i))) (cbrt (+ beta (fma i 2 alpha))))) (fma i (+ beta (+ alpha i)) (* beta alpha))) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (/ (* (cube (/ (cbrt (+ beta (+ alpha i))) (cbrt (+ beta (fma i 2 alpha))))) (fma i (+ beta (+ alpha i)) (* beta alpha))) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))))) into (- (+ (* 2 (/ (* (cube (/ (cbrt (+ beta (+ alpha i))) (cbrt (+ beta (fma i 2 alpha))))) (fma i (+ beta (+ alpha i)) (* beta alpha))) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (/ (* (cube (/ (cbrt (+ beta (+ alpha i))) (cbrt (+ beta (fma i 2 alpha))))) (fma i (+ beta (+ alpha i)) (* beta alpha))) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))))
* [misc]backup-simplify:  Simplify (- (+ (* 2 (/ (* (cube (/ (cbrt (+ beta (+ alpha i))) (cbrt (+ beta (fma i 2 alpha))))) (fma i (+ beta (+ alpha i)) (* beta alpha))) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (/ (* (cube (/ (cbrt (+ beta (+ alpha i))) (cbrt (+ beta (fma i 2 alpha))))) (fma i (+ beta (+ alpha i)) (* beta alpha))) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))))) into (- (+ (* 2 (/ (* (cube (/ (cbrt (+ beta (+ alpha i))) (cbrt (+ beta (fma i 2 alpha))))) (fma i (+ beta (+ alpha i)) (* beta alpha))) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (/ (* (cube (/ (cbrt (+ beta (+ alpha i))) (cbrt (+ beta (fma i 2 alpha))))) (fma i (+ beta (+ alpha i)) (* beta alpha))) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))))
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) (* 0 i)) into 0
* [misc]backup-simplify:  Simplify (+ (* (cube (/ (cbrt (+ beta (+ alpha i))) (cbrt (+ beta (fma i 2 alpha))))) 0) (* 0 (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 0) (* 0 (fma i 2 alpha))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 0) (* 0 (- (sqr (fma i 2 alpha)) 1.0))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))) (+ (* (/ (* (cube (/ (cbrt (+ beta (+ alpha i))) (cbrt (+ beta (fma i 2 alpha))))) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))) (/ 0 (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) (+ (* 0 1) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (+ (* (cube (/ (cbrt (+ beta (+ alpha i))) (cbrt (+ beta (fma i 2 alpha))))) 0) (+ (* 0 (fma i (+ beta (+ alpha i)) (* beta alpha))) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 0) (* 0 (fma i 2 alpha))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 0) (* 0 (- (sqr (fma i 2 alpha)) 1.0))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))) (+ (* (/ (* (cube (/ (cbrt (+ beta (+ alpha i))) (cbrt (+ beta (fma i 2 alpha))))) (fma i (+ beta (+ alpha i)) (* beta alpha))) (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))) (/ 0 (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (fma i 2 alpha)) (+ (* (/ i (fma i 2 alpha)) (/ 0 (fma i 2 alpha))) (* (- (/ i (sqr (fma i 2 alpha)))) (/ 1 (fma i 2 alpha))))) into (/ i (pow (fma i 2 alpha) 3))
* [misc]backup-simplify:  Simplify (+ (* (cube (/ (cbrt (+ beta (+ alpha i))) (cbrt (+ beta (fma i 2 alpha))))) 0) (+ (* 0 0) (* 0 (fma i (+ beta (+ alpha i)) (* beta alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* (cube (/ (cbrt (+ beta (+ alpha i))) (cbrt (+ beta (fma i 2 alpha))))) (fma i (+ beta (+ alpha i)) (* beta alpha))) (/ i (pow (fma i 2 alpha) 3))) (+ (* 0 (- (/ i (sqr (fma i 2 alpha))))) (* 0 (/ i (fma i 2 alpha))))) into (/ (* (cube (/ (cbrt (+ beta (+ alpha i))) (cbrt (+ beta (fma i 2 alpha))))) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (pow (fma i 2 alpha) 3))
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 0) (+ (* 1 1) (* 0 (fma i 2 alpha)))) into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (- (/ (/ (* (cube (/ (cbrt (+ beta (+ alpha i))) (cbrt (+ beta (fma i 2 alpha))))) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (pow (fma i 2 alpha) 3)) (- (sqr (fma i 2 alpha)) 1.0)) (+ (* (/ (* (cube (/ (cbrt (+ beta (+ alpha i))) (cbrt (+ beta (fma i 2 alpha))))) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))) (/ 1 (- (sqr (fma i 2 alpha)) 1.0))) (* (- (+ (* 2 (/ (* (cube (/ (cbrt (+ beta (+ alpha i))) (cbrt (+ beta (fma i 2 alpha))))) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (/ (* (cube (/ (cbrt (+ beta (+ alpha i))) (cbrt (+ beta (fma i 2 alpha))))) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))))) (/ (* 2 (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))))) into (+ (/ (* (cube (/ (cbrt (+ beta (+ alpha i))) (cbrt (+ beta (fma i 2 alpha))))) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0))) (+ (* 4 (/ (* (cube (/ (cbrt (+ beta (+ alpha i))) (cbrt (+ beta (fma i 2 alpha))))) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* i (fma i 2 alpha)))) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (/ (* (cube (/ (cbrt (+ beta (+ alpha i))) (cbrt (+ beta (fma i 2 alpha))))) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))))
* [misc]taylor:  Taking taylor expansion of (+ (/ (* (cube (/ (cbrt (+ beta (+ alpha i))) (cbrt (+ beta (fma i 2 alpha))))) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0))) (+ (* 4 (/ (* (cube (/ (cbrt (+ beta (+ alpha i))) (cbrt (+ beta (fma i 2 alpha))))) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* i (fma i 2 alpha)))) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (/ (* (cube (/ (cbrt (+ beta (+ alpha i))) (cbrt (+ beta (fma i 2 alpha))))) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (* (cube (/ (cbrt (+ beta (+ alpha i))) (cbrt (+ beta (fma i 2 alpha))))) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (cube (/ (cbrt (+ beta (+ alpha i))) (cbrt (+ beta (fma i 2 alpha))))) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) in alpha
* [misc]taylor:  Taking taylor expansion of (cube (/ (cbrt (+ beta (+ alpha i))) (cbrt (+ beta (fma i 2 alpha))))) in alpha
* [misc]backup-simplify:  Simplify (cube (/ (cbrt (+ beta (+ alpha i))) (cbrt (+ beta (fma i 2 alpha))))) into (cube (/ (cbrt (+ beta (+ alpha i))) (cbrt (+ beta (fma i 2 alpha)))))
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (pow (fma i 2 alpha) 3) in alpha
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (fma i 2 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 3 (log (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of 3 in alpha
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (log (fma i 2 alpha)) into (log (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* 3 (log (fma i 2 alpha))) into (* 3 (log (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (fma i 2 alpha)))) into (pow (fma i 2 alpha) 3)
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) into (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)
* [misc]backup-simplify:  Simplify (* (cube (/ (cbrt (+ beta (+ alpha i))) (cbrt (+ beta (fma i 2 alpha))))) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) into (* (cube (/ (cbrt (+ beta (+ alpha i))) (cbrt (+ beta (fma i 2 alpha))))) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)) into (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (/ (* (cube (/ (cbrt (+ beta (+ alpha i))) (cbrt (+ beta (fma i 2 alpha))))) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0))) into (/ (* (cube (/ (cbrt (+ beta (+ alpha i))) (cbrt (+ beta (fma i 2 alpha))))) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (/ (* (cube (/ (cbrt (+ beta (+ alpha i))) (cbrt (+ beta (fma i 2 alpha))))) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* i (fma i 2 alpha)))) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (/ (* (cube (/ (cbrt (+ beta (+ alpha i))) (cbrt (+ beta (fma i 2 alpha))))) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 4 (/ (* (cube (/ (cbrt (+ beta (+ alpha i))) (cbrt (+ beta (fma i 2 alpha))))) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* i (fma i 2 alpha)))) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) in alpha
* [misc]taylor:  Taking taylor expansion of 4 in alpha
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (/ (* (cube (/ (cbrt (+ beta (+ alpha i))) (cbrt (+ beta (fma i 2 alpha))))) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* i (fma i 2 alpha)))) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)) in alpha
* [misc]taylor:  Taking taylor expansion of (* (cube (/ (cbrt (+ beta (+ alpha i))) (cbrt (+ beta (fma i 2 alpha))))) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* i (fma i 2 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (cube (/ (cbrt (+ beta (+ alpha i))) (cbrt (+ beta (fma i 2 alpha))))) in alpha
* [misc]backup-simplify:  Simplify (cube (/ (cbrt (+ beta (+ alpha i))) (cbrt (+ beta (fma i 2 alpha))))) into (cube (/ (cbrt (+ beta (+ alpha i))) (cbrt (+ beta (fma i 2 alpha)))))
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* i (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (* i (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (pow (- (sqr (fma i 2 alpha)) 1.0) 3) in alpha
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (- (sqr (fma i 2 alpha)) 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 3 (log (- (sqr (fma i 2 alpha)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of 3 in alpha
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (- (sqr (fma i 2 alpha)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (log (- (sqr (fma i 2 alpha)) 1.0)) into (log (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (* 3 (log (- (sqr (fma i 2 alpha)) 1.0))) into (* 3 (log (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (- (sqr (fma i 2 alpha)) 1.0)))) into (pow (- (sqr (fma i 2 alpha)) 1.0) 3)
* [misc]backup-simplify:  Simplify (* i (fma i 2 alpha)) into (* i (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* i (fma i 2 alpha))) into (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* i (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (* (cube (/ (cbrt (+ beta (+ alpha i))) (cbrt (+ beta (fma i 2 alpha))))) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* i (fma i 2 alpha)))) into (* (cube (/ (cbrt (+ beta (+ alpha i))) (cbrt (+ beta (fma i 2 alpha))))) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* i (fma i 2 alpha))))
* [misc]backup-simplify:  Simplify (/ (* (cube (/ (cbrt (+ beta (+ alpha i))) (cbrt (+ beta (fma i 2 alpha))))) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* i (fma i 2 alpha)))) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)) into (/ (* (cube (/ (cbrt (+ beta (+ alpha i))) (cbrt (+ beta (fma i 2 alpha))))) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* i (fma i 2 alpha)))) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))
* [misc]taylor:  Taking taylor expansion of (/ (* (cube (/ (cbrt (+ beta (+ alpha i))) (cbrt (+ beta (fma i 2 alpha))))) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (cube (/ (cbrt (+ beta (+ alpha i))) (cbrt (+ beta (fma i 2 alpha))))) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) in alpha
* [misc]taylor:  Taking taylor expansion of (cube (/ (cbrt (+ beta (+ alpha i))) (cbrt (+ beta (fma i 2 alpha))))) in alpha
* [misc]backup-simplify:  Simplify (cube (/ (cbrt (+ beta (+ alpha i))) (cbrt (+ beta (fma i 2 alpha))))) into (cube (/ (cbrt (+ beta (+ alpha i))) (cbrt (+ beta (fma i 2 alpha)))))
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (sqr (- (sqr (fma i 2 alpha)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) into (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)
* [misc]backup-simplify:  Simplify (* (cube (/ (cbrt (+ beta (+ alpha i))) (cbrt (+ beta (fma i 2 alpha))))) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) into (* (cube (/ (cbrt (+ beta (+ alpha i))) (cbrt (+ beta (fma i 2 alpha))))) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (- (sqr (fma i 2 alpha)) 1.0) (- (sqr (fma i 2 alpha)) 1.0)) into (sqr (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))) into (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (/ (* (cube (/ (cbrt (+ beta (+ alpha i))) (cbrt (+ beta (fma i 2 alpha))))) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) into (/ (* (cube (/ (cbrt (+ beta (+ alpha i))) (cbrt (+ beta (fma i 2 alpha))))) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))
* [misc]backup-simplify:  Simplify (* 4 (/ (* (cube (/ (cbrt (+ beta (+ alpha i))) (cbrt (+ beta (fma i 2 alpha))))) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* i (fma i 2 alpha)))) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) into (* 4 (/ (* (cube (/ (cbrt (+ beta (+ alpha i))) (cbrt (+ beta (fma i 2 alpha))))) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* i (fma i 2 alpha)))) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))
* [misc]backup-simplify:  Simplify (+ (* 4 (/ (* (cube (/ (cbrt (+ beta (+ alpha i))) (cbrt (+ beta (fma i 2 alpha))))) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* i (fma i 2 alpha)))) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (/ (* (cube (/ (cbrt (+ beta (+ alpha i))) (cbrt (+ beta (fma i 2 alpha))))) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) into (+ (* 4 (/ (* (cube (/ (cbrt (+ beta (+ alpha i))) (cbrt (+ beta (fma i 2 alpha))))) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* i (fma i 2 alpha)))) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (/ (* (cube (/ (cbrt (+ beta (+ alpha i))) (cbrt (+ beta (fma i 2 alpha))))) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))
* [misc]backup-simplify:  Simplify (+ (/ (* (cube (/ (cbrt (+ beta (+ alpha i))) (cbrt (+ beta (fma i 2 alpha))))) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0))) (+ (* 4 (/ (* (cube (/ (cbrt (+ beta (+ alpha i))) (cbrt (+ beta (fma i 2 alpha))))) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* i (fma i 2 alpha)))) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (/ (* (cube (/ (cbrt (+ beta (+ alpha i))) (cbrt (+ beta (fma i 2 alpha))))) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) into (+ (/ (* (cube (/ (cbrt (+ beta (+ alpha i))) (cbrt (+ beta (fma i 2 alpha))))) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0))) (+ (* 4 (/ (* (cube (/ (cbrt (+ beta (+ alpha i))) (cbrt (+ beta (fma i 2 alpha))))) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* i (fma i 2 alpha)))) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (/ (* (cube (/ (cbrt (+ beta (+ alpha i))) (cbrt (+ beta (fma i 2 alpha))))) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))))
* [misc]taylor:  Taking taylor expansion of (+ (/ (* (cube (/ (cbrt (+ beta (+ alpha i))) (cbrt (+ beta (fma i 2 alpha))))) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0))) (+ (* 4 (/ (* (cube (/ (cbrt (+ beta (+ alpha i))) (cbrt (+ beta (fma i 2 alpha))))) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* i (fma i 2 alpha)))) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (/ (* (cube (/ (cbrt (+ beta (+ alpha i))) (cbrt (+ beta (fma i 2 alpha))))) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) in i
* [misc]taylor:  Taking taylor expansion of (/ (* (cube (/ (cbrt (+ beta (+ alpha i))) (cbrt (+ beta (fma i 2 alpha))))) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of (* (cube (/ (cbrt (+ beta (+ alpha i))) (cbrt (+ beta (fma i 2 alpha))))) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) in i
* [misc]taylor:  Taking taylor expansion of (cube (/ (cbrt (+ beta (+ alpha i))) (cbrt (+ beta (fma i 2 alpha))))) in i
* [misc]backup-simplify:  Simplify (cube (/ (cbrt (+ beta (+ alpha i))) (cbrt (+ beta (fma i 2 alpha))))) into (cube (/ (cbrt (+ beta (+ alpha i))) (cbrt (+ beta (fma i 2 alpha)))))
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) in i
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in i
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (pow (fma i 2 alpha) 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (fma i 2 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log (fma i 2 alpha))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (log (fma i 2 alpha)) into (log (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* 3 (log (fma i 2 alpha))) into (* 3 (log (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (fma i 2 alpha)))) into (pow (fma i 2 alpha) 3)
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) into 0
* [misc]backup-simplify:  Simplify (* (cube (/ (cbrt (+ beta (+ alpha i))) (cbrt (+ beta (fma i 2 alpha))))) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 1) (* 0 0)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]backup-simplify:  Simplify (+ (* (cube (/ (cbrt (+ beta (+ alpha i))) (cbrt (+ beta (fma i 2 alpha))))) (fma i (+ beta (+ alpha i)) (* beta alpha))) (* 0 0)) into (* (cube (/ (cbrt (+ beta (+ alpha i))) (cbrt (+ beta (fma i 2 alpha))))) (fma i (+ beta (+ alpha i)) (* beta alpha)))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)) into (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (/ (* (cube (/ (cbrt (+ beta (+ alpha i))) (cbrt (+ beta (fma i 2 alpha))))) (fma i (+ beta (+ alpha i)) (* beta alpha))) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0))) into (/ (* (cube (/ (cbrt (+ beta (+ alpha i))) (cbrt (+ beta (fma i 2 alpha))))) (fma i (+ beta (+ alpha i)) (* beta alpha))) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (/ (* (cube (/ (cbrt (+ beta (+ alpha i))) (cbrt (+ beta (fma i 2 alpha))))) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* i (fma i 2 alpha)))) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (/ (* (cube (/ (cbrt (+ beta (+ alpha i))) (cbrt (+ beta (fma i 2 alpha))))) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (/ (* (cube (/ (cbrt (+ beta (+ alpha i))) (cbrt (+ beta (fma i 2 alpha))))) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* i (fma i 2 alpha)))) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (/ (* (cube (/ (cbrt (+ beta (+ alpha i))) (cbrt (+ beta (fma i 2 alpha))))) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* i (fma i 2 alpha)))) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)) in i
* [misc]taylor:  Taking taylor expansion of (* (cube (/ (cbrt (+ beta (+ alpha i))) (cbrt (+ beta (fma i 2 alpha))))) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* i (fma i 2 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (cube (/ (cbrt (+ beta (+ alpha i))) (cbrt (+ beta (fma i 2 alpha))))) in i
* [misc]backup-simplify:  Simplify (cube (/ (cbrt (+ beta (+ alpha i))) (cbrt (+ beta (fma i 2 alpha))))) into (cube (/ (cbrt (+ beta (+ alpha i))) (cbrt (+ beta (fma i 2 alpha)))))
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* i (fma i 2 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in i
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (* i (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (pow (- (sqr (fma i 2 alpha)) 1.0) 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (- (sqr (fma i 2 alpha)) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log (- (sqr (fma i 2 alpha)) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (- (sqr (fma i 2 alpha)) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (log (- (sqr (fma i 2 alpha)) 1.0)) into (log (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (* 3 (log (- (sqr (fma i 2 alpha)) 1.0))) into (* 3 (log (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (- (sqr (fma i 2 alpha)) 1.0)))) into (pow (- (sqr (fma i 2 alpha)) 1.0) 3)
* [misc]backup-simplify:  Simplify (* 0 (fma i 2 alpha)) into 0
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) into 0
* [misc]backup-simplify:  Simplify (* (cube (/ (cbrt (+ beta (+ alpha i))) (cbrt (+ beta (fma i 2 alpha))))) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 (fma i 2 alpha))) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha)) (* 0 0)) into (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (+ (* (cube (/ (cbrt (+ beta (+ alpha i))) (cbrt (+ beta (fma i 2 alpha))))) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha))) (* 0 0)) into (* (cube (/ (cbrt (+ beta (+ alpha i))) (cbrt (+ beta (fma i 2 alpha))))) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (/ (* (cube (/ (cbrt (+ beta (+ alpha i))) (cbrt (+ beta (fma i 2 alpha))))) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha))) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)) into (/ (* (cube (/ (cbrt (+ beta (+ alpha i))) (cbrt (+ beta (fma i 2 alpha))))) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha))) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))
* [misc]taylor:  Taking taylor expansion of (/ (* (cube (/ (cbrt (+ beta (+ alpha i))) (cbrt (+ beta (fma i 2 alpha))))) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* (cube (/ (cbrt (+ beta (+ alpha i))) (cbrt (+ beta (fma i 2 alpha))))) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) in i
* [misc]taylor:  Taking taylor expansion of (cube (/ (cbrt (+ beta (+ alpha i))) (cbrt (+ beta (fma i 2 alpha))))) in i
* [misc]backup-simplify:  Simplify (cube (/ (cbrt (+ beta (+ alpha i))) (cbrt (+ beta (fma i 2 alpha))))) into (cube (/ (cbrt (+ beta (+ alpha i))) (cbrt (+ beta (fma i 2 alpha)))))
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) in i
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in i
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (sqr (- (sqr (fma i 2 alpha)) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) into 0
* [misc]backup-simplify:  Simplify (* (cube (/ (cbrt (+ beta (+ alpha i))) (cbrt (+ beta (fma i 2 alpha))))) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 1) (* 0 0)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]backup-simplify:  Simplify (+ (* (cube (/ (cbrt (+ beta (+ alpha i))) (cbrt (+ beta (fma i 2 alpha))))) (fma i (+ beta (+ alpha i)) (* beta alpha))) (* 0 0)) into (* (cube (/ (cbrt (+ beta (+ alpha i))) (cbrt (+ beta (fma i 2 alpha))))) (fma i (+ beta (+ alpha i)) (* beta alpha)))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (- (sqr (fma i 2 alpha)) 1.0) (- (sqr (fma i 2 alpha)) 1.0)) into (sqr (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))) into (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (/ (* (cube (/ (cbrt (+ beta (+ alpha i))) (cbrt (+ beta (fma i 2 alpha))))) (fma i (+ beta (+ alpha i)) (* beta alpha))) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) into (/ (* (cube (/ (cbrt (+ beta (+ alpha i))) (cbrt (+ beta (fma i 2 alpha))))) (fma i (+ beta (+ alpha i)) (* beta alpha))) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))
* [misc]backup-simplify:  Simplify (* 4 (/ (* (cube (/ (cbrt (+ beta (+ alpha i))) (cbrt (+ beta (fma i 2 alpha))))) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha))) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) into (* 4 (/ (* (cube (/ (cbrt (+ beta (+ alpha i))) (cbrt (+ beta (fma i 2 alpha))))) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha))) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))
* [misc]backup-simplify:  Simplify (+ (* 4 (/ (* (cube (/ (cbrt (+ beta (+ alpha i))) (cbrt (+ beta (fma i 2 alpha))))) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha))) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (/ (* (cube (/ (cbrt (+ beta (+ alpha i))) (cbrt (+ beta (fma i 2 alpha))))) (fma i (+ beta (+ alpha i)) (* beta alpha))) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) into (+ (/ (* (cube (/ (cbrt (+ beta (+ alpha i))) (cbrt (+ beta (fma i 2 alpha))))) (fma i (+ beta (+ alpha i)) (* beta alpha))) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (* 4 (/ (* (cube (/ (cbrt (+ beta (+ alpha i))) (cbrt (+ beta (fma i 2 alpha))))) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha))) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))))
* [misc]backup-simplify:  Simplify (+ (/ (* (cube (/ (cbrt (+ beta (+ alpha i))) (cbrt (+ beta (fma i 2 alpha))))) (fma i (+ beta (+ alpha i)) (* beta alpha))) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0))) (+ (/ (* (cube (/ (cbrt (+ beta (+ alpha i))) (cbrt (+ beta (fma i 2 alpha))))) (fma i (+ beta (+ alpha i)) (* beta alpha))) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (* 4 (/ (* (cube (/ (cbrt (+ beta (+ alpha i))) (cbrt (+ beta (fma i 2 alpha))))) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha))) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))))) into (+ (/ (* (cube (/ (cbrt (+ beta (+ alpha i))) (cbrt (+ beta (fma i 2 alpha))))) (fma i (+ beta (+ alpha i)) (* beta alpha))) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 4 (/ (* (cube (/ (cbrt (+ beta (+ alpha i))) (cbrt (+ beta (fma i 2 alpha))))) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha))) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (/ (* (cube (/ (cbrt (+ beta (+ alpha i))) (cbrt (+ beta (fma i 2 alpha))))) (fma i (+ beta (+ alpha i)) (* beta alpha))) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)))))
* [misc]backup-simplify:  Simplify (+ (/ (* (cube (/ (cbrt (+ beta (+ alpha i))) (cbrt (+ beta (fma i 2 alpha))))) (fma i (+ beta (+ alpha i)) (* beta alpha))) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 4 (/ (* (cube (/ (cbrt (+ beta (+ alpha i))) (cbrt (+ beta (fma i 2 alpha))))) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha))) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (/ (* (cube (/ (cbrt (+ beta (+ alpha i))) (cbrt (+ beta (fma i 2 alpha))))) (fma i (+ beta (+ alpha i)) (* beta alpha))) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0))))) into (+ (* 4 (/ (* (cube (/ (cbrt (+ beta (+ alpha i))) (cbrt (+ beta (fma i 2 alpha))))) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha))) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (/ (* (cube (/ (cbrt (+ beta (+ alpha i))) (cbrt (+ beta (fma i 2 alpha))))) (fma i (+ beta (+ alpha i)) (* beta alpha))) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (/ (* (cube (/ (cbrt (+ beta (+ alpha i))) (cbrt (+ beta (fma i 2 alpha))))) (fma i (+ beta (+ alpha i)) (* beta alpha))) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)))))
* [misc]backup-simplify:  Simplify (+ (* (+ (* 4 (/ (* (cube (/ (cbrt (+ beta (+ alpha i))) (cbrt (+ beta (fma i 2 alpha))))) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha))) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (/ (* (cube (/ (cbrt (+ beta (+ alpha i))) (cbrt (+ beta (fma i 2 alpha))))) (fma i (+ beta (+ alpha i)) (* beta alpha))) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (/ (* (cube (/ (cbrt (+ beta (+ alpha i))) (cbrt (+ beta (fma i 2 alpha))))) (fma i (+ beta (+ alpha i)) (* beta alpha))) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0))))) (* i (* 1 (sqr beta)))) (+ (* (- (+ (* 2 (/ (* (cube (/ (cbrt (+ beta (+ alpha i))) (cbrt (+ beta (fma i 2 alpha))))) (fma i (+ beta (+ alpha i)) (* beta alpha))) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (/ (* (cube (/ (cbrt (+ beta (+ alpha i))) (cbrt (+ beta (fma i 2 alpha))))) (fma i (+ beta (+ alpha i)) (* beta alpha))) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))))) (* i (* 1 beta))) (* (/ (* (cube (/ (cbrt (+ beta (+ alpha i))) (cbrt (+ beta (fma i 2 alpha))))) (fma i (+ beta (+ alpha i)) (* beta alpha))) (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))) (* i (* 1 1))))) into (- (+ (/ (* (cube (/ (cbrt (+ beta (+ alpha i))) (cbrt (+ beta (fma i 2 alpha))))) (* (sqr beta) (* i (fma i (+ beta (+ alpha i)) (* beta alpha))))) (* (sqr (- (sqr (fma i 2 alpha)) 1.0)) (fma i 2 alpha))) (+ (* 4 (/ (* (cube (/ (cbrt (+ beta (+ alpha i))) (cbrt (+ beta (fma i 2 alpha))))) (* (sqr beta) (* i (* (fma i 2 alpha) (fma i (+ beta (+ alpha i)) (* beta alpha)))))) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (/ (* (cube (/ (cbrt (+ beta (+ alpha i))) (cbrt (+ beta (fma i 2 alpha))))) (* (sqr beta) (* i (fma i (+ beta (+ alpha i)) (* beta alpha))))) (* (- (sqr (fma i 2 alpha)) 1.0) (pow (fma i 2 alpha) 3))) (/ (* (cube (/ (cbrt (+ beta (+ alpha i))) (cbrt (+ beta (fma i 2 alpha))))) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))))) (+ (* 2 (/ (* (cube (/ (cbrt (+ beta (+ alpha i))) (cbrt (+ beta (fma i 2 alpha))))) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* beta i))) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (/ (* (cube (/ (cbrt (+ beta (+ alpha i))) (cbrt (+ beta (fma i 2 alpha))))) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* beta i))) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))))
* [misc]approximate:  Taking taylor expansion of (/ (* (* (cube (/ (cbrt (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (- (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0)) in (beta alpha i) around 0
* [misc]taylor:  Taking taylor expansion of (/ (* (* (cube (/ (cbrt (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (- (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (* (* (cube (/ (cbrt (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (* (cube (/ (cbrt (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) in i
* [misc]taylor:  Taking taylor expansion of (cube (/ (cbrt (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) in i
* [misc]backup-simplify:  Simplify (cube (/ (cbrt (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) into (cube (/ (cbrt (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) into (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) into (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (- (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (cube (/ (cbrt (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) into (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (cube (/ (cbrt (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))))
* [misc]backup-simplify:  Simplify (* (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (cube (/ (cbrt (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))) (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) into (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (cube (/ (cbrt (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) into (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) into (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (- 1.0)) into (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0)
* [misc]backup-simplify:  Simplify (/ (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (cube (/ (cbrt (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0)) into (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (cube (/ (cbrt (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))) (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0)))
* [misc]taylor:  Taking taylor expansion of (/ (* (* (cube (/ (cbrt (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (- (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (* (* (cube (/ (cbrt (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (cube (/ (cbrt (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) in alpha
* [misc]taylor:  Taking taylor expansion of (cube (/ (cbrt (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) in alpha
* [misc]backup-simplify:  Simplify (cube (/ (cbrt (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) into (cube (/ (cbrt (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) into (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) into (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))
* [misc]taylor:  Taking taylor expansion of (- (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (cube (/ (cbrt (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) into (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (cube (/ (cbrt (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))))
* [misc]backup-simplify:  Simplify (* (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (cube (/ (cbrt (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))) (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))) into (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (cube (/ (cbrt (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))) (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))
* [misc]backup-simplify:  Simplify (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) into (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) into (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (- 1.0)) into (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0)
* [misc]backup-simplify:  Simplify (/ (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (cube (/ (cbrt (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))) (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i)) (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0)) into (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (cube (/ (cbrt (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))) (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) (* i (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0))))
* [misc]taylor:  Taking taylor expansion of (/ (* (* (cube (/ (cbrt (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (- (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0)) in beta
* [misc]taylor:  Taking taylor expansion of (* (* (cube (/ (cbrt (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (* (cube (/ (cbrt (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) in beta
* [misc]taylor:  Taking taylor expansion of (cube (/ (cbrt (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) in beta
* [misc]backup-simplify:  Simplify (cube (/ (cbrt (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) into (cube (/ (cbrt (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (/ 1 i) 1) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (- (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0) in beta
* [misc]taylor:  Taking taylor expansion of (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (cube (/ (cbrt (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) into (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (cube (/ (cbrt (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))))
* [misc]backup-simplify:  Simplify (* (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (cube (/ (cbrt (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))) (/ 1 i)) into (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (cube (/ (cbrt (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))) i)
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (cube (/ (cbrt (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))) i) 1) into (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (cube (/ (cbrt (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))) i)
* [misc]taylor:  Taking taylor expansion of (/ (* (* (cube (/ (cbrt (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (- (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0)) in beta
* [misc]taylor:  Taking taylor expansion of (* (* (cube (/ (cbrt (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (* (cube (/ (cbrt (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) in beta
* [misc]taylor:  Taking taylor expansion of (cube (/ (cbrt (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) in beta
* [misc]backup-simplify:  Simplify (cube (/ (cbrt (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) into (cube (/ (cbrt (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (/ 1 i) 1) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (- (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0) in beta
* [misc]taylor:  Taking taylor expansion of (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (cube (/ (cbrt (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) into (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (cube (/ (cbrt (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))))
* [misc]backup-simplify:  Simplify (* (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (cube (/ (cbrt (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))) (/ 1 i)) into (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (cube (/ (cbrt (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))) i)
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (cube (/ (cbrt (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))) i) 1) into (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (cube (/ (cbrt (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))) i)
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (cube (/ (cbrt (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))) i) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (cube (/ (cbrt (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (cube (/ (cbrt (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) in alpha
* [misc]backup-simplify:  Simplify (cube (/ (cbrt (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) into (cube (/ (cbrt (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (cube (/ (cbrt (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))) into (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (cube (/ (cbrt (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))))
* [misc]backup-simplify:  Simplify (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (cube (/ (cbrt (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))) i) into (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (cube (/ (cbrt (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))) i)
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (cube (/ (cbrt (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))) i) in i
* [misc]taylor:  Taking taylor expansion of (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (cube (/ (cbrt (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (cube (/ (cbrt (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) in i
* [misc]backup-simplify:  Simplify (cube (/ (cbrt (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) into (cube (/ (cbrt (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (cube (/ (cbrt (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))) into (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (cube (/ (cbrt (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))))
* [misc]backup-simplify:  Simplify (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (cube (/ (cbrt (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))) 1) into (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (cube (/ (cbrt (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))))
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (cube (/ (cbrt (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))) into (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (cube (/ (cbrt (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (fma (/ 1 i) 2 (/ 1 alpha))) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (/ 1 i) (/ (fma (/ 1 i) 2 (/ 1 alpha)) 1)))) into (- (/ (fma (/ 1 i) 2 (/ 1 alpha)) i))
* [misc]backup-simplify:  Simplify (+ (* (cube (/ (cbrt (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) 0) (* 0 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (cube (/ (cbrt (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))) (- (/ (fma (/ 1 i) 2 (/ 1 alpha)) i))) (* 0 (/ 1 i))) into (- (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (cube (/ (cbrt (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) (fma (/ 1 i) 2 (/ 1 alpha)))) i))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (fma (/ 1 i) 2 (/ 1 alpha))) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (* 1 (fma (/ 1 i) 2 (/ 1 alpha))) (* (fma (/ 1 i) 2 (/ 1 alpha)) 1)) into (* 2 (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (+ (* 2 (fma (/ 1 i) 2 (/ 1 alpha))) 0) into (* 2 (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (- (/ (- (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (cube (/ (cbrt (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) (fma (/ 1 i) 2 (/ 1 alpha)))) i)) 1) (+ (* (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (cube (/ (cbrt (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))) i) (/ (* 2 (fma (/ 1 i) 2 (/ 1 alpha))) 1)))) into (- (* 3 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (cube (/ (cbrt (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) (fma (/ 1 i) 2 (/ 1 alpha)))) i)))
* [misc]taylor:  Taking taylor expansion of (- (* 3 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (cube (/ (cbrt (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) (fma (/ 1 i) 2 (/ 1 alpha)))) i))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 3 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (cube (/ (cbrt (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) (fma (/ 1 i) 2 (/ 1 alpha)))) i)) in alpha
* [misc]taylor:  Taking taylor expansion of 3 in alpha
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (cube (/ (cbrt (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) (fma (/ 1 i) 2 (/ 1 alpha)))) i) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (cube (/ (cbrt (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) (fma (/ 1 i) 2 (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (* (cube (/ (cbrt (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) (fma (/ 1 i) 2 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (cube (/ (cbrt (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) in alpha
* [misc]backup-simplify:  Simplify (cube (/ (cbrt (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) into (cube (/ (cbrt (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* (cube (/ (cbrt (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) (fma (/ 1 i) 2 (/ 1 alpha))) into (* (cube (/ (cbrt (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (cube (/ (cbrt (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) (fma (/ 1 i) 2 (/ 1 alpha)))) into (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (cube (/ (cbrt (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (cube (/ (cbrt (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) (fma (/ 1 i) 2 (/ 1 alpha)))) i) into (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (cube (/ (cbrt (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) (fma (/ 1 i) 2 (/ 1 alpha)))) i)
* [misc]backup-simplify:  Simplify (* 3 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (cube (/ (cbrt (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) (fma (/ 1 i) 2 (/ 1 alpha)))) i)) into (* 3 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (cube (/ (cbrt (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) (fma (/ 1 i) 2 (/ 1 alpha)))) i))
* [misc]backup-simplify:  Simplify (- (* 3 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (cube (/ (cbrt (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) (fma (/ 1 i) 2 (/ 1 alpha)))) i))) into (- (* 3 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (cube (/ (cbrt (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) (fma (/ 1 i) 2 (/ 1 alpha)))) i)))
* [misc]taylor:  Taking taylor expansion of (- (* 3 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (cube (/ (cbrt (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) (fma (/ 1 i) 2 (/ 1 alpha)))) i))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (cube (/ (cbrt (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) (fma (/ 1 i) 2 (/ 1 alpha)))) i)) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (cube (/ (cbrt (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) (fma (/ 1 i) 2 (/ 1 alpha)))) i) in i
* [misc]taylor:  Taking taylor expansion of (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (cube (/ (cbrt (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) (fma (/ 1 i) 2 (/ 1 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (* (cube (/ (cbrt (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) (fma (/ 1 i) 2 (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (cube (/ (cbrt (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) in i
* [misc]backup-simplify:  Simplify (cube (/ (cbrt (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) into (cube (/ (cbrt (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (cube (/ (cbrt (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) (fma (/ 1 i) 2 (/ 1 alpha))) into (* (cube (/ (cbrt (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (cube (/ (cbrt (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) (fma (/ 1 i) 2 (/ 1 alpha)))) into (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (cube (/ (cbrt (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (cube (/ (cbrt (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) (fma (/ 1 i) 2 (/ 1 alpha)))) 1) into (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (cube (/ (cbrt (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (* 3 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (cube (/ (cbrt (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) (fma (/ 1 i) 2 (/ 1 alpha))))) into (* 3 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (cube (/ (cbrt (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) (fma (/ 1 i) 2 (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (- (* 3 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (cube (/ (cbrt (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) (fma (/ 1 i) 2 (/ 1 alpha)))))) into (- (* 3 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (cube (/ (cbrt (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) (fma (/ 1 i) 2 (/ 1 alpha))))))
* [misc]backup-simplify:  Simplify (- (* 3 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (cube (/ (cbrt (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) (fma (/ 1 i) 2 (/ 1 alpha)))))) into (- (* 3 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (cube (/ (cbrt (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) (fma (/ 1 i) 2 (/ 1 alpha))))))
* [misc]backup-simplify:  Simplify (+ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 0) (* 0 (cube (/ (cbrt (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 i) (+ (* (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (cube (/ (cbrt (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))) i) (/ 0 i)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 0) (* 0 (cube (/ (cbrt (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (cube (/ (cbrt (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))) (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 i) (/ 0 i)) (* 0 (/ 0 i)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (/ 1 i) (/ 0 1)) (* (- (/ (fma (/ 1 i) 2 (/ 1 alpha)) i)) (/ (fma (/ 1 i) 2 (/ 1 alpha)) 1)))) into (/ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) i)
* [misc]backup-simplify:  Simplify (+ (* (cube (/ (cbrt (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) 0) (+ (* 0 0) (* 0 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (cube (/ (cbrt (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))) (/ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) i)) (+ (* 0 (- (/ (fma (/ 1 i) 2 (/ 1 alpha)) i))) (* 0 (/ 1 i)))) into (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (cube (/ (cbrt (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))) i)
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 i) 2 (/ 1 alpha))) (* 0 1))) into (sqr (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (- 1.0)) into (- (sqr (fma (/ 1 i) 2 (/ 1 alpha))) 1.0)
* [misc]backup-simplify:  Simplify (- (/ (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (cube (/ (cbrt (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))) i) 1) (+ (* (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (cube (/ (cbrt (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))) i) (/ (- (sqr (fma (/ 1 i) 2 (/ 1 alpha))) 1.0) 1)) (* (- (* 3 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (cube (/ (cbrt (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) (fma (/ 1 i) 2 (/ 1 alpha)))) i))) (/ (* 2 (fma (/ 1 i) 2 (/ 1 alpha))) 1)))) into (+ (* 6 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (cube (/ (cbrt (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))) i)) (* 1.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (cube (/ (cbrt (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))) i)))
* [misc]taylor:  Taking taylor expansion of (+ (* 6 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (cube (/ (cbrt (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))) i)) (* 1.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (cube (/ (cbrt (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))) i))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 6 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (cube (/ (cbrt (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))) i)) in alpha
* [misc]taylor:  Taking taylor expansion of 6 in alpha
* [misc]backup-simplify:  Simplify 6 into 6
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (cube (/ (cbrt (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))) i) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (cube (/ (cbrt (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (* (cube (/ (cbrt (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (cube (/ (cbrt (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) in alpha
* [misc]backup-simplify:  Simplify (cube (/ (cbrt (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) into (cube (/ (cbrt (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ 1 i) 2 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 i) 2 (/ 1 alpha))) into (sqr (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* (cube (/ (cbrt (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) into (* (cube (/ (cbrt (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (cube (/ (cbrt (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))) into (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (cube (/ (cbrt (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (cube (/ (cbrt (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))) i) into (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (cube (/ (cbrt (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))) i)
* [misc]taylor:  Taking taylor expansion of (* 1.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (cube (/ (cbrt (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))) i)) in alpha
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (cube (/ (cbrt (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))) i) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (cube (/ (cbrt (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (cube (/ (cbrt (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) in alpha
* [misc]backup-simplify:  Simplify (cube (/ (cbrt (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) into (cube (/ (cbrt (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (cube (/ (cbrt (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))) into (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (cube (/ (cbrt (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))))
* [misc]backup-simplify:  Simplify (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (cube (/ (cbrt (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))) i) into (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (cube (/ (cbrt (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))) i)
* [misc]backup-simplify:  Simplify (* 6 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (cube (/ (cbrt (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))) i)) into (* 6 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (cube (/ (cbrt (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))) i))
* [misc]backup-simplify:  Simplify (* 1.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (cube (/ (cbrt (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))) i)) into (* 1.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (cube (/ (cbrt (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))) i))
* [misc]backup-simplify:  Simplify (+ (* 6 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (cube (/ (cbrt (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))) i)) (* 1.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (cube (/ (cbrt (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))) i))) into (+ (* 6 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (cube (/ (cbrt (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))) i)) (* 1.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (cube (/ (cbrt (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))) i)))
* [misc]taylor:  Taking taylor expansion of (+ (* 6 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (cube (/ (cbrt (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))) i)) (* 1.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (cube (/ (cbrt (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))) i))) in i
* [misc]taylor:  Taking taylor expansion of (* 6 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (cube (/ (cbrt (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))) i)) in i
* [misc]taylor:  Taking taylor expansion of 6 in i
* [misc]backup-simplify:  Simplify 6 into 6
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (cube (/ (cbrt (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))) i) in i
* [misc]taylor:  Taking taylor expansion of (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (cube (/ (cbrt (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (* (cube (/ (cbrt (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (cube (/ (cbrt (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) in i
* [misc]backup-simplify:  Simplify (cube (/ (cbrt (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) into (cube (/ (cbrt (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ 1 i) 2 (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 i) 2 (/ 1 alpha))) into (sqr (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* (cube (/ (cbrt (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) into (* (cube (/ (cbrt (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (cube (/ (cbrt (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))) into (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (cube (/ (cbrt (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (cube (/ (cbrt (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))) 1) into (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (cube (/ (cbrt (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))))
* [misc]taylor:  Taking taylor expansion of (* 1.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (cube (/ (cbrt (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))) i)) in i
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (cube (/ (cbrt (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))) i) in i
* [misc]taylor:  Taking taylor expansion of (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (cube (/ (cbrt (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (cube (/ (cbrt (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) in i
* [misc]backup-simplify:  Simplify (cube (/ (cbrt (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) into (cube (/ (cbrt (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (cube (/ (cbrt (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))) into (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (cube (/ (cbrt (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))))
* [misc]backup-simplify:  Simplify (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (cube (/ (cbrt (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))) 1) into (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (cube (/ (cbrt (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))))
* [misc]backup-simplify:  Simplify (* 6 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (cube (/ (cbrt (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))))) into (* 6 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (cube (/ (cbrt (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))))
* [misc]backup-simplify:  Simplify (* 1.0 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (cube (/ (cbrt (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))))) into (* 1.0 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (cube (/ (cbrt (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))))
* [misc]backup-simplify:  Simplify (+ (* 6 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (cube (/ (cbrt (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))))) (* 1.0 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (cube (/ (cbrt (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))))) into (+ (* 6 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (cube (/ (cbrt (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))))) (* 1.0 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (cube (/ (cbrt (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))))))
* [misc]backup-simplify:  Simplify (+ (* 6 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (cube (/ (cbrt (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))))) (* 1.0 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (cube (/ (cbrt (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))))) into (+ (* 6 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (cube (/ (cbrt (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))))) (* 1.0 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (cube (/ (cbrt (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))))))
* [misc]backup-simplify:  Simplify (+ (* (+ (* 6 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (cube (/ (cbrt (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))))) (* 1.0 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (cube (/ (cbrt (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))))) (* (/ 1 (/ 1 i)) (* 1 (pow (/ 1 beta) 5)))) (+ (* (- (* 3 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (cube (/ (cbrt (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) (fma (/ 1 i) 2 (/ 1 alpha)))))) (* (/ 1 (/ 1 i)) (* 1 (pow (/ 1 beta) 4)))) (* (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (cube (/ (cbrt (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))) (* (/ 1 (/ 1 i)) (* 1 (pow (/ 1 beta) 3)))))) into (- (+ (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (cube (/ (cbrt (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) i)) (pow beta 3)) (+ (* 6 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (cube (/ (cbrt (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) (* (sqr (fma (/ 1 i) 2 (/ 1 alpha))) i))) (pow beta 5))) (* 1.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (cube (/ (cbrt (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) i)) (pow beta 5))))) (* 3 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (cube (/ (cbrt (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) (* (fma (/ 1 i) 2 (/ 1 alpha)) i))) (pow beta 4))))
* [misc]approximate:  Taking taylor expansion of (/ (* (* (cube (/ (cbrt (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i)))) (cbrt (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) (- (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) 1.0)) in (beta alpha i) around 0
* [misc]taylor:  Taking taylor expansion of (/ (* (* (cube (/ (cbrt (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i)))) (cbrt (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) (- (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (* (* (cube (/ (cbrt (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i)))) (cbrt (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) in i
* [misc]taylor:  Taking taylor expansion of (* (cube (/ (cbrt (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i)))) (cbrt (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) in i
* [misc]taylor:  Taking taylor expansion of (cube (/ (cbrt (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i)))) (cbrt (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))))) in i
* [misc]backup-simplify:  Simplify (cube (/ (cbrt (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i)))) (cbrt (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))))) into (cube (/ (cbrt (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))))) (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in i
* [misc]taylor:  Taking taylor expansion of (- i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in i
* [misc]taylor:  Taking taylor expansion of (- beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (+ (/ -1 beta) (fma (/ -1 i) 2 (/ -1 alpha))) into (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))
* [misc]backup-simplify:  Simplify (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) into (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))
* [misc]taylor:  Taking taylor expansion of (- (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in i
* [misc]taylor:  Taking taylor expansion of (- beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (cube (/ (cbrt (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))))) (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) into (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (cube (/ (cbrt (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))))) (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))))
* [misc]backup-simplify:  Simplify (* (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (cube (/ (cbrt (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))))) (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))) (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))) into (* -1 (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (cube (/ (cbrt (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))))) (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))
* [misc]backup-simplify:  Simplify (+ (/ -1 beta) (fma (/ -1 i) 2 (/ -1 alpha))) into (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))
* [misc]backup-simplify:  Simplify (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) into (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (- 1.0)) into (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0))
* [misc]backup-simplify:  Simplify (/ (* -1 (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (cube (/ (cbrt (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))))) (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))) (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0))) into (* -1 (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (cube (/ (cbrt (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))))) (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))) (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0)))))
* [misc]taylor:  Taking taylor expansion of (/ (* (* (cube (/ (cbrt (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i)))) (cbrt (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) (- (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (* (* (cube (/ (cbrt (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i)))) (cbrt (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (cube (/ (cbrt (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i)))) (cbrt (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) in alpha
* [misc]taylor:  Taking taylor expansion of (cube (/ (cbrt (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i)))) (cbrt (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))))) in alpha
* [misc]backup-simplify:  Simplify (cube (/ (cbrt (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i)))) (cbrt (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))))) into (cube (/ (cbrt (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))))) (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in alpha
* [misc]taylor:  Taking taylor expansion of (- i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (+ (/ -1 beta) (fma (/ -1 i) 2 (/ -1 alpha))) into (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))
* [misc]backup-simplify:  Simplify (/ (/ -1 i) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) into (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))
* [misc]taylor:  Taking taylor expansion of (- (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (cube (/ (cbrt (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))))) (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) into (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (cube (/ (cbrt (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))))) (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))))
* [misc]backup-simplify:  Simplify (* (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (cube (/ (cbrt (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))))) (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))) (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) into (* -1 (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (cube (/ (cbrt (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))))) (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))) (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i)))
* [misc]backup-simplify:  Simplify (+ (/ -1 beta) (fma (/ -1 i) 2 (/ -1 alpha))) into (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))
* [misc]backup-simplify:  Simplify (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) into (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (- 1.0)) into (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0))
* [misc]backup-simplify:  Simplify (/ (* -1 (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (cube (/ (cbrt (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))))) (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))) (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0))) into (* -1 (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (cube (/ (cbrt (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))))) (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))) (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) (* i (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0))))))
* [misc]taylor:  Taking taylor expansion of (/ (* (* (cube (/ (cbrt (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i)))) (cbrt (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) (- (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) 1.0)) in beta
* [misc]taylor:  Taking taylor expansion of (* (* (cube (/ (cbrt (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i)))) (cbrt (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) in beta
* [misc]taylor:  Taking taylor expansion of (* (cube (/ (cbrt (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i)))) (cbrt (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) in beta
* [misc]taylor:  Taking taylor expansion of (cube (/ (cbrt (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i)))) (cbrt (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))))) in beta
* [misc]backup-simplify:  Simplify (cube (/ (cbrt (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i)))) (cbrt (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))))) into (cube (/ (cbrt (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))))) (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in beta
* [misc]taylor:  Taking taylor expansion of (- i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (/ (/ -1 i) -1) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (- (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) 1.0) in beta
* [misc]taylor:  Taking taylor expansion of (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (cube (/ (cbrt (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))))) (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) into (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (cube (/ (cbrt (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))))) (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))))
* [misc]backup-simplify:  Simplify (* (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (cube (/ (cbrt (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))))) (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))) (/ 1 i)) into (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (cube (/ (cbrt (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))))) (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))) i)
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (cube (/ (cbrt (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))))) (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))) i) 1) into (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (cube (/ (cbrt (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))))) (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))) i)
* [misc]taylor:  Taking taylor expansion of (/ (* (* (cube (/ (cbrt (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i)))) (cbrt (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) (- (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) 1.0)) in beta
* [misc]taylor:  Taking taylor expansion of (* (* (cube (/ (cbrt (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i)))) (cbrt (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) in beta
* [misc]taylor:  Taking taylor expansion of (* (cube (/ (cbrt (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i)))) (cbrt (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) in beta
* [misc]taylor:  Taking taylor expansion of (cube (/ (cbrt (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i)))) (cbrt (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))))) in beta
* [misc]backup-simplify:  Simplify (cube (/ (cbrt (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i)))) (cbrt (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))))) into (cube (/ (cbrt (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))))) (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in beta
* [misc]taylor:  Taking taylor expansion of (- i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (/ (/ -1 i) -1) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (- (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) 1.0) in beta
* [misc]taylor:  Taking taylor expansion of (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (cube (/ (cbrt (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))))) (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) into (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (cube (/ (cbrt (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))))) (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))))
* [misc]backup-simplify:  Simplify (* (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (cube (/ (cbrt (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))))) (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))) (/ 1 i)) into (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (cube (/ (cbrt (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))))) (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))) i)
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (cube (/ (cbrt (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))))) (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))) i) 1) into (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (cube (/ (cbrt (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))))) (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))) i)
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (cube (/ (cbrt (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))))) (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))) i) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (cube (/ (cbrt (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))))) (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (cube (/ (cbrt (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))))) (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) in alpha
* [misc]backup-simplify:  Simplify (cube (/ (cbrt (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))))) (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) into (cube (/ (cbrt (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))))) (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (cube (/ (cbrt (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))))) (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))) into (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (cube (/ (cbrt (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))))) (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))))
* [misc]backup-simplify:  Simplify (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (cube (/ (cbrt (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))))) (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))) i) into (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (cube (/ (cbrt (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))))) (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))) i)
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (cube (/ (cbrt (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))))) (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))) i) in i
* [misc]taylor:  Taking taylor expansion of (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (cube (/ (cbrt (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))))) (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (cube (/ (cbrt (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))))) (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) in i
* [misc]backup-simplify:  Simplify (cube (/ (cbrt (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))))) (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) into (cube (/ (cbrt (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))))) (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (cube (/ (cbrt (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))))) (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))) into (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (cube (/ (cbrt (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))))) (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))))
* [misc]backup-simplify:  Simplify (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (cube (/ (cbrt (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))))) (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))) 1) into (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (cube (/ (cbrt (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))))) (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))))
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (cube (/ (cbrt (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))))) (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))) into (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (cube (/ (cbrt (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))))) (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 i) (/ 0 (- i))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (fma (/ -1 i) 2 (/ -1 alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (- (/ 0 -1) (+ (* (/ 1 i) (/ (fma (/ -1 i) 2 (/ -1 alpha)) -1)))) into (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)
* [misc]backup-simplify:  Simplify (+ (* (cube (/ (cbrt (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))))) (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) 0) (* 0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (cube (/ (cbrt (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))))) (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))) (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)) (* 0 (/ 1 i))) into (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (cube (/ (cbrt (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))))) (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))))) i)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (fma (/ -1 i) 2 (/ -1 alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (+ (* -1 (fma (/ -1 i) 2 (/ -1 alpha))) (* (fma (/ -1 i) 2 (/ -1 alpha)) -1)) into (- (* 2 (fma (/ -1 i) 2 (/ -1 alpha))))
* [misc]backup-simplify:  Simplify (+ (- (* 2 (fma (/ -1 i) 2 (/ -1 alpha)))) 0) into (- (* 2 (fma (/ -1 i) 2 (/ -1 alpha))))
* [misc]backup-simplify:  Simplify (- (/ (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (cube (/ (cbrt (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))))) (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))))) i) 1) (+ (* (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (cube (/ (cbrt (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))))) (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))) i) (/ (- (* 2 (fma (/ -1 i) 2 (/ -1 alpha)))) 1)))) into (+ (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (cube (/ (cbrt (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))))) (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))))) i) (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (cube (/ (cbrt (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))))) (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))))) i)))
* [misc]taylor:  Taking taylor expansion of (+ (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (cube (/ (cbrt (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))))) (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))))) i) (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (cube (/ (cbrt (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))))) (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))))) i))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (cube (/ (cbrt (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))))) (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))))) i) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma (/ -1 i) 2 (/ -1 alpha)) (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (cube (/ (cbrt (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))))) (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (cube (/ (cbrt (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))))) (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (cube (/ (cbrt (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))))) (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) in alpha
* [misc]backup-simplify:  Simplify (cube (/ (cbrt (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))))) (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) into (cube (/ (cbrt (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))))) (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (cube (/ (cbrt (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))))) (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))) into (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (cube (/ (cbrt (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))))) (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))))
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (cube (/ (cbrt (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))))) (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))))) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (cube (/ (cbrt (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))))) (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))))
* [misc]backup-simplify:  Simplify (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (cube (/ (cbrt (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))))) (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))))) i) into (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (cube (/ (cbrt (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))))) (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))))) i)
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (cube (/ (cbrt (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))))) (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))))) i)) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (cube (/ (cbrt (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))))) (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))))) i) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma (/ -1 i) 2 (/ -1 alpha)) (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (cube (/ (cbrt (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))))) (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (cube (/ (cbrt (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))))) (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (cube (/ (cbrt (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))))) (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) in alpha
* [misc]backup-simplify:  Simplify (cube (/ (cbrt (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))))) (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) into (cube (/ (cbrt (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))))) (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (cube (/ (cbrt (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))))) (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))) into (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (cube (/ (cbrt (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))))) (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))))
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (cube (/ (cbrt (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))))) (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))))) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (cube (/ (cbrt (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))))) (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))))
* [misc]backup-simplify:  Simplify (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (cube (/ (cbrt (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))))) (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))))) i) into (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (cube (/ (cbrt (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))))) (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))))) i)
* [misc]backup-simplify:  Simplify (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (cube (/ (cbrt (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))))) (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))))) i)) into (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (cube (/ (cbrt (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))))) (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))))) i))
* [misc]backup-simplify:  Simplify (+ (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (cube (/ (cbrt (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))))) (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))))) i) (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (cube (/ (cbrt (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))))) (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))))) i))) into (* 3 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (cube (/ (cbrt (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))))) (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))))) i))
* [misc]taylor:  Taking taylor expansion of (* 3 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (cube (/ (cbrt (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))))) (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))))) i)) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (cube (/ (cbrt (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))))) (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))))) i) in i
* [misc]taylor:  Taking taylor expansion of (* (fma (/ -1 i) 2 (/ -1 alpha)) (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (cube (/ (cbrt (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))))) (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (cube (/ (cbrt (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))))) (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (cube (/ (cbrt (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))))) (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) in i
* [misc]backup-simplify:  Simplify (cube (/ (cbrt (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))))) (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) into (cube (/ (cbrt (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))))) (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (cube (/ (cbrt (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))))) (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))) into (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (cube (/ (cbrt (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))))) (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))))
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (cube (/ (cbrt (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))))) (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))))) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (cube (/ (cbrt (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))))) (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))))
* [misc]backup-simplify:  Simplify (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (cube (/ (cbrt (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))))) (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))))) 1) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (cube (/ (cbrt (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))))) (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))))
* [misc]backup-simplify:  Simplify (* 3 (* (fma (/ -1 i) 2 (/ -1 alpha)) (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (cube (/ (cbrt (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))))) (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))))) into (* 3 (* (fma (/ -1 i) 2 (/ -1 alpha)) (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (cube (/ (cbrt (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))))) (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))))))
* [misc]backup-simplify:  Simplify (* 3 (* (fma (/ -1 i) 2 (/ -1 alpha)) (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (cube (/ (cbrt (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))))) (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))))) into (* 3 (* (fma (/ -1 i) 2 (/ -1 alpha)) (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (cube (/ (cbrt (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))))) (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))))))
* [misc]backup-simplify:  Simplify (+ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 0) (* 0 (cube (/ (cbrt (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))))) (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 i) (+ (* (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (cube (/ (cbrt (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))))) (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))) i) (/ 0 i)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 0) (* 0 (cube (/ (cbrt (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))))) (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (cube (/ (cbrt (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))))) (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))) (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 i) (/ 0 (- i))) (* 0 (/ 0 (- i))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 -1) (+ (* (/ 1 i) (/ 0 -1)) (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) i) (/ (fma (/ -1 i) 2 (/ -1 alpha)) -1)))) into (/ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) i)
* [misc]backup-simplify:  Simplify (+ (* (cube (/ (cbrt (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))))) (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) 0) (+ (* 0 0) (* 0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (cube (/ (cbrt (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))))) (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))) (/ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) i)) (+ (* 0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)) (* 0 (/ 1 i)))) into (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (cube (/ (cbrt (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))))) (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))))) i)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) 2 (/ -1 alpha))) (* 0 -1))) into (sqr (fma (/ -1 i) 2 (/ -1 alpha)))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (- 1.0)) into (- (sqr (fma (/ -1 i) 2 (/ -1 alpha))) 1.0)
* [misc]backup-simplify:  Simplify (- (/ (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (cube (/ (cbrt (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))))) (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))))) i) 1) (+ (* (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (cube (/ (cbrt (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))))) (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))) i) (/ (- (sqr (fma (/ -1 i) 2 (/ -1 alpha))) 1.0) 1)) (* (+ (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (cube (/ (cbrt (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))))) (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))))) i) (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (cube (/ (cbrt (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))))) (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))))) i))) (/ (- (* 2 (fma (/ -1 i) 2 (/ -1 alpha)))) 1)))) into (+ (* 1.0 (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (cube (/ (cbrt (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))))) (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))) i)) (+ (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (cube (/ (cbrt (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))))) (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))))) i) (* 5 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (cube (/ (cbrt (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))))) (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))))) i))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1.0 (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (cube (/ (cbrt (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))))) (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))) i)) (+ (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (cube (/ (cbrt (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))))) (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))))) i) (* 5 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (cube (/ (cbrt (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))))) (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))))) i)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 1.0 (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (cube (/ (cbrt (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))))) (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))) i)) in alpha
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (cube (/ (cbrt (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))))) (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))) i) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (cube (/ (cbrt (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))))) (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (cube (/ (cbrt (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))))) (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) in alpha
* [misc]backup-simplify:  Simplify (cube (/ (cbrt (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))))) (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) into (cube (/ (cbrt (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))))) (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (cube (/ (cbrt (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))))) (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))) into (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (cube (/ (cbrt (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))))) (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))))
* [misc]backup-simplify:  Simplify (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (cube (/ (cbrt (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))))) (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))) i) into (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (cube (/ (cbrt (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))))) (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))) i)
* [misc]taylor:  Taking taylor expansion of (+ (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (cube (/ (cbrt (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))))) (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))))) i) (* 5 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (cube (/ (cbrt (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))))) (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))))) i))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (cube (/ (cbrt (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))))) (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))))) i) in alpha
* [misc]taylor:  Taking taylor expansion of (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (cube (/ (cbrt (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))))) (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ -1 i) 2 (/ -1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (cube (/ (cbrt (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))))) (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (cube (/ (cbrt (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))))) (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) in alpha
* [misc]backup-simplify:  Simplify (cube (/ (cbrt (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))))) (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) into (cube (/ (cbrt (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))))) (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) 2 (/ -1 alpha))) into (sqr (fma (/ -1 i) 2 (/ -1 alpha)))
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (cube (/ (cbrt (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))))) (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))) into (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (cube (/ (cbrt (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))))) (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))))
* [misc]backup-simplify:  Simplify (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (cube (/ (cbrt (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))))) (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))))) into (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (cube (/ (cbrt (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))))) (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))))
* [misc]backup-simplify:  Simplify (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (cube (/ (cbrt (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))))) (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))))) i) into (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (cube (/ (cbrt (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))))) (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))))) i)
* [misc]taylor:  Taking taylor expansion of (* 5 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (cube (/ (cbrt (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))))) (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))))) i)) in alpha
* [misc]taylor:  Taking taylor expansion of 5 in alpha
* [misc]backup-simplify:  Simplify 5 into 5
* [misc]taylor:  Taking taylor expansion of (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (cube (/ (cbrt (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))))) (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))))) i) in alpha
* [misc]taylor:  Taking taylor expansion of (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (cube (/ (cbrt (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))))) (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ -1 i) 2 (/ -1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (cube (/ (cbrt (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))))) (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (cube (/ (cbrt (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))))) (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) in alpha
* [misc]backup-simplify:  Simplify (cube (/ (cbrt (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))))) (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) into (cube (/ (cbrt (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))))) (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) 2 (/ -1 alpha))) into (sqr (fma (/ -1 i) 2 (/ -1 alpha)))
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (cube (/ (cbrt (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))))) (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))) into (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (cube (/ (cbrt (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))))) (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))))
* [misc]backup-simplify:  Simplify (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (cube (/ (cbrt (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))))) (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))))) into (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (cube (/ (cbrt (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))))) (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))))
* [misc]backup-simplify:  Simplify (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (cube (/ (cbrt (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))))) (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))))) i) into (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (cube (/ (cbrt (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))))) (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))))) i)
* [misc]backup-simplify:  Simplify (* 1.0 (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (cube (/ (cbrt (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))))) (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))) i)) into (* 1.0 (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (cube (/ (cbrt (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))))) (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))) i))
* [misc]backup-simplify:  Simplify (* 5 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (cube (/ (cbrt (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))))) (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))))) i)) into (* 5 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (cube (/ (cbrt (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))))) (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))))) i))
* [misc]backup-simplify:  Simplify (+ (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (cube (/ (cbrt (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))))) (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))))) i) (* 5 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (cube (/ (cbrt (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))))) (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))))) i))) into (* 6 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (cube (/ (cbrt (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))))) (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))))) i))
* [misc]backup-simplify:  Simplify (+ (* 1.0 (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (cube (/ (cbrt (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))))) (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))) i)) (* 6 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (cube (/ (cbrt (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))))) (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))))) i))) into (+ (* 1.0 (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (cube (/ (cbrt (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))))) (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))) i)) (* 6 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (cube (/ (cbrt (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))))) (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))))) i)))
* [misc]taylor:  Taking taylor expansion of (+ (* 1.0 (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (cube (/ (cbrt (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))))) (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))) i)) (* 6 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (cube (/ (cbrt (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))))) (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))))) i))) in i
* [misc]taylor:  Taking taylor expansion of (* 1.0 (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (cube (/ (cbrt (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))))) (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))) i)) in i
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (cube (/ (cbrt (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))))) (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))) i) in i
* [misc]taylor:  Taking taylor expansion of (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (cube (/ (cbrt (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))))) (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (cube (/ (cbrt (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))))) (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) in i
* [misc]backup-simplify:  Simplify (cube (/ (cbrt (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))))) (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) into (cube (/ (cbrt (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))))) (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (cube (/ (cbrt (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))))) (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))) into (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (cube (/ (cbrt (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))))) (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))))
* [misc]backup-simplify:  Simplify (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (cube (/ (cbrt (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))))) (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))) 1) into (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (cube (/ (cbrt (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))))) (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))))
* [misc]taylor:  Taking taylor expansion of (* 6 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (cube (/ (cbrt (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))))) (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))))) i)) in i
* [misc]taylor:  Taking taylor expansion of 6 in i
* [misc]backup-simplify:  Simplify 6 into 6
* [misc]taylor:  Taking taylor expansion of (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (cube (/ (cbrt (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))))) (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))))) i) in i
* [misc]taylor:  Taking taylor expansion of (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (cube (/ (cbrt (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))))) (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))))) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ -1 i) 2 (/ -1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (cube (/ (cbrt (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))))) (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (cube (/ (cbrt (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))))) (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) in i
* [misc]backup-simplify:  Simplify (cube (/ (cbrt (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))))) (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) into (cube (/ (cbrt (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))))) (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) 2 (/ -1 alpha))) into (sqr (fma (/ -1 i) 2 (/ -1 alpha)))
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (cube (/ (cbrt (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))))) (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))) into (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (cube (/ (cbrt (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))))) (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))))
* [misc]backup-simplify:  Simplify (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (cube (/ (cbrt (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))))) (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))))) into (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (cube (/ (cbrt (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))))) (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))))
* [misc]backup-simplify:  Simplify (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (cube (/ (cbrt (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))))) (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))))) 1) into (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (cube (/ (cbrt (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))))) (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))))
* [misc]backup-simplify:  Simplify (* 1.0 (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (cube (/ (cbrt (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))))) (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))))) into (* 1.0 (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (cube (/ (cbrt (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))))) (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))))
* [misc]backup-simplify:  Simplify (* 6 (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (cube (/ (cbrt (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))))) (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))))) into (* 6 (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (cube (/ (cbrt (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))))) (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))))))
* [misc]backup-simplify:  Simplify (+ (* 1.0 (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (cube (/ (cbrt (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))))) (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))))) (* 6 (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (cube (/ (cbrt (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))))) (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))))))) into (+ (* 6 (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (cube (/ (cbrt (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))))) (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))))) (* 1.0 (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (cube (/ (cbrt (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))))) (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))))))
* [misc]backup-simplify:  Simplify (+ (* 6 (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (cube (/ (cbrt (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))))) (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))))) (* 1.0 (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (cube (/ (cbrt (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))))) (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))))) into (+ (* 6 (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (cube (/ (cbrt (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))))) (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))))) (* 1.0 (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (cube (/ (cbrt (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))))) (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))))))
* [misc]backup-simplify:  Simplify (+ (* (+ (* 6 (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (cube (/ (cbrt (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))))) (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))))) (* 1.0 (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (cube (/ (cbrt (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))))) (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))))) (* (/ 1 (/ 1 (- i))) (* 1 (pow (/ 1 (- beta)) 5)))) (+ (* (* 3 (* (fma (/ -1 i) 2 (/ -1 alpha)) (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (cube (/ (cbrt (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))))) (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))))) (* (/ 1 (/ 1 (- i))) (* 1 (pow (/ 1 (- beta)) 4)))) (* (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (cube (/ (cbrt (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))))) (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))) (* (/ 1 (/ 1 (- i))) (* 1 (pow (/ 1 (- beta)) 3)))))) into (- (+ (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* i (cube (/ (cbrt (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))))) (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))))) (pow beta 3)) (+ (* 1.0 (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* i (cube (/ (cbrt (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))))) (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))))) (pow beta 5))) (* 6 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* i (cube (/ (cbrt (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))))) (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))))) (pow beta 5))))) (* 3 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* i (cube (/ (cbrt (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))))) (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))))) (pow beta 4))))
* [misc]approximate:  Taking taylor expansion of (* (* (cube (/ (cbrt (+ (+ beta alpha) i)) (cbrt (+ beta (fma i 2 alpha))))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) in (beta alpha i) around 0
* [misc]taylor:  Taking taylor expansion of (* (* (cube (/ (cbrt (+ (+ beta alpha) i)) (cbrt (+ beta (fma i 2 alpha))))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (* (cube (/ (cbrt (+ (+ beta alpha) i)) (cbrt (+ beta (fma i 2 alpha))))) (fma i (+ (+ beta alpha) i) (* alpha beta))) in i
* [misc]taylor:  Taking taylor expansion of (cube (/ (cbrt (+ (+ beta alpha) i)) (cbrt (+ beta (fma i 2 alpha))))) in i
* [misc]backup-simplify:  Simplify (cube (/ (cbrt (+ (+ beta alpha) i)) (cbrt (+ beta (fma i 2 alpha))))) into (cube (/ (cbrt (+ beta (+ alpha i))) (cbrt (+ beta (fma i 2 alpha)))))
* [misc]taylor:  Taking taylor expansion of (fma i (+ (+ beta alpha) i) (* alpha beta)) in i
* [misc]backup-simplify:  Simplify (fma i (+ (+ beta alpha) i) (* alpha beta)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (/ i (+ beta (fma i 2 alpha))) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ beta (fma i 2 alpha)) into (+ beta (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (/ 1 (+ beta (fma i 2 alpha))) into (/ 1 (+ beta (fma i 2 alpha)))
* [misc]taylor:  Taking taylor expansion of (* (* (cube (/ (cbrt (+ (+ beta alpha) i)) (cbrt (+ beta (fma i 2 alpha))))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (cube (/ (cbrt (+ (+ beta alpha) i)) (cbrt (+ beta (fma i 2 alpha))))) (fma i (+ (+ beta alpha) i) (* alpha beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (cube (/ (cbrt (+ (+ beta alpha) i)) (cbrt (+ beta (fma i 2 alpha))))) in alpha
* [misc]backup-simplify:  Simplify (cube (/ (cbrt (+ (+ beta alpha) i)) (cbrt (+ beta (fma i 2 alpha))))) into (cube (/ (cbrt (+ beta (+ alpha i))) (cbrt (+ beta (fma i 2 alpha)))))
* [misc]taylor:  Taking taylor expansion of (fma i (+ (+ beta alpha) i) (* alpha beta)) in alpha
* [misc]backup-simplify:  Simplify (fma i (+ (+ beta alpha) i) (* alpha beta)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (/ i (+ beta (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ beta (fma i 2 alpha)) into (+ beta (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (/ i (+ beta (fma i 2 alpha))) into (/ i (+ beta (fma i 2 alpha)))
* [misc]taylor:  Taking taylor expansion of (* (* (cube (/ (cbrt (+ (+ beta alpha) i)) (cbrt (+ beta (fma i 2 alpha))))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (* (cube (/ (cbrt (+ (+ beta alpha) i)) (cbrt (+ beta (fma i 2 alpha))))) (fma i (+ (+ beta alpha) i) (* alpha beta))) in beta
* [misc]taylor:  Taking taylor expansion of (cube (/ (cbrt (+ (+ beta alpha) i)) (cbrt (+ beta (fma i 2 alpha))))) in beta
* [misc]backup-simplify:  Simplify (cube (/ (cbrt (+ (+ beta alpha) i)) (cbrt (+ beta (fma i 2 alpha))))) into (cube (/ (cbrt (+ beta (+ alpha i))) (cbrt (+ beta (fma i 2 alpha)))))
* [misc]taylor:  Taking taylor expansion of (fma i (+ (+ beta alpha) i) (* alpha beta)) in beta
* [misc]backup-simplify:  Simplify (fma i (+ (+ beta alpha) i) (* alpha beta)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (/ i (+ beta (fma i 2 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in beta
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ 0 (fma i 2 alpha)) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (/ i (fma i 2 alpha)) into (/ i (fma i 2 alpha))
* [misc]taylor:  Taking taylor expansion of (* (* (cube (/ (cbrt (+ (+ beta alpha) i)) (cbrt (+ beta (fma i 2 alpha))))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (* (cube (/ (cbrt (+ (+ beta alpha) i)) (cbrt (+ beta (fma i 2 alpha))))) (fma i (+ (+ beta alpha) i) (* alpha beta))) in beta
* [misc]taylor:  Taking taylor expansion of (cube (/ (cbrt (+ (+ beta alpha) i)) (cbrt (+ beta (fma i 2 alpha))))) in beta
* [misc]backup-simplify:  Simplify (cube (/ (cbrt (+ (+ beta alpha) i)) (cbrt (+ beta (fma i 2 alpha))))) into (cube (/ (cbrt (+ beta (+ alpha i))) (cbrt (+ beta (fma i 2 alpha)))))
* [misc]taylor:  Taking taylor expansion of (fma i (+ (+ beta alpha) i) (* alpha beta)) in beta
* [misc]backup-simplify:  Simplify (fma i (+ (+ beta alpha) i) (* alpha beta)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (/ i (+ beta (fma i 2 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in beta
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ 0 (fma i 2 alpha)) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (/ i (fma i 2 alpha)) into (/ i (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* (cube (/ (cbrt (+ beta (+ alpha i))) (cbrt (+ beta (fma i 2 alpha))))) (fma i (+ beta (+ alpha i)) (* beta alpha))) into (* (cube (/ (cbrt (+ beta (+ alpha i))) (cbrt (+ beta (fma i 2 alpha))))) (fma i (+ beta (+ alpha i)) (* beta alpha)))
* [misc]backup-simplify:  Simplify (* (* (cube (/ (cbrt (+ beta (+ alpha i))) (cbrt (+ beta (fma i 2 alpha))))) (fma i (+ beta (+ alpha i)) (* beta alpha))) (/ i (fma i 2 alpha))) into (/ (* (cube (/ (cbrt (+ beta (+ alpha i))) (cbrt (+ beta (fma i 2 alpha))))) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (fma i 2 alpha))
* [misc]taylor:  Taking taylor expansion of (/ (* (cube (/ (cbrt (+ beta (+ alpha i))) (cbrt (+ beta (fma i 2 alpha))))) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (* (cube (/ (cbrt (+ beta (+ alpha i))) (cbrt (+ beta (fma i 2 alpha))))) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) in alpha
* [misc]taylor:  Taking taylor expansion of (cube (/ (cbrt (+ beta (+ alpha i))) (cbrt (+ beta (fma i 2 alpha))))) in alpha
* [misc]backup-simplify:  Simplify (cube (/ (cbrt (+ beta (+ alpha i))) (cbrt (+ beta (fma i 2 alpha))))) into (cube (/ (cbrt (+ beta (+ alpha i))) (cbrt (+ beta (fma i 2 alpha)))))
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) into (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)
* [misc]backup-simplify:  Simplify (* (cube (/ (cbrt (+ beta (+ alpha i))) (cbrt (+ beta (fma i 2 alpha))))) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) into (* (cube (/ (cbrt (+ beta (+ alpha i))) (cbrt (+ beta (fma i 2 alpha))))) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i))
* [misc]backup-simplify:  Simplify (/ (* (cube (/ (cbrt (+ beta (+ alpha i))) (cbrt (+ beta (fma i 2 alpha))))) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (fma i 2 alpha)) into (/ (* (cube (/ (cbrt (+ beta (+ alpha i))) (cbrt (+ beta (fma i 2 alpha))))) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (fma i 2 alpha))
* [misc]taylor:  Taking taylor expansion of (/ (* (cube (/ (cbrt (+ beta (+ alpha i))) (cbrt (+ beta (fma i 2 alpha))))) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (* (cube (/ (cbrt (+ beta (+ alpha i))) (cbrt (+ beta (fma i 2 alpha))))) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) in i
* [misc]taylor:  Taking taylor expansion of (cube (/ (cbrt (+ beta (+ alpha i))) (cbrt (+ beta (fma i 2 alpha))))) in i
* [misc]backup-simplify:  Simplify (cube (/ (cbrt (+ beta (+ alpha i))) (cbrt (+ beta (fma i 2 alpha))))) into (cube (/ (cbrt (+ beta (+ alpha i))) (cbrt (+ beta (fma i 2 alpha)))))
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) in i
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in i
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) into 0
* [misc]backup-simplify:  Simplify (* (cube (/ (cbrt (+ beta (+ alpha i))) (cbrt (+ beta (fma i 2 alpha))))) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 1) (* 0 0)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]backup-simplify:  Simplify (+ (* (cube (/ (cbrt (+ beta (+ alpha i))) (cbrt (+ beta (fma i 2 alpha))))) (fma i (+ beta (+ alpha i)) (* beta alpha))) (* 0 0)) into (* (cube (/ (cbrt (+ beta (+ alpha i))) (cbrt (+ beta (fma i 2 alpha))))) (fma i (+ beta (+ alpha i)) (* beta alpha)))
* [misc]backup-simplify:  Simplify (/ (* (cube (/ (cbrt (+ beta (+ alpha i))) (cbrt (+ beta (fma i 2 alpha))))) (fma i (+ beta (+ alpha i)) (* beta alpha))) (fma i 2 alpha)) into (/ (* (cube (/ (cbrt (+ beta (+ alpha i))) (cbrt (+ beta (fma i 2 alpha))))) (fma i (+ beta (+ alpha i)) (* beta alpha))) (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (/ (* (cube (/ (cbrt (+ beta (+ alpha i))) (cbrt (+ beta (fma i 2 alpha))))) (fma i (+ beta (+ alpha i)) (* beta alpha))) (fma i 2 alpha)) into (/ (* (cube (/ (cbrt (+ beta (+ alpha i))) (cbrt (+ beta (fma i 2 alpha))))) (fma i (+ beta (+ alpha i)) (* beta alpha))) (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (- (/ 0 (fma i 2 alpha)) (+ (* (/ i (fma i 2 alpha)) (/ 1 (fma i 2 alpha))))) into (- (/ i (sqr (fma i 2 alpha))))
* [misc]backup-simplify:  Simplify (+ (* (cube (/ (cbrt (+ beta (+ alpha i))) (cbrt (+ beta (fma i 2 alpha))))) 0) (* 0 (fma i (+ beta (+ alpha i)) (* beta alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* (cube (/ (cbrt (+ beta (+ alpha i))) (cbrt (+ beta (fma i 2 alpha))))) (fma i (+ beta (+ alpha i)) (* beta alpha))) (- (/ i (sqr (fma i 2 alpha))))) (* 0 (/ i (fma i 2 alpha)))) into (- (/ (* (cube (/ (cbrt (+ beta (+ alpha i))) (cbrt (+ beta (fma i 2 alpha))))) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (sqr (fma i 2 alpha))))
* [misc]taylor:  Taking taylor expansion of (- (/ (* (cube (/ (cbrt (+ beta (+ alpha i))) (cbrt (+ beta (fma i 2 alpha))))) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (sqr (fma i 2 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (* (cube (/ (cbrt (+ beta (+ alpha i))) (cbrt (+ beta (fma i 2 alpha))))) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (sqr (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (cube (/ (cbrt (+ beta (+ alpha i))) (cbrt (+ beta (fma i 2 alpha))))) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) in alpha
* [misc]taylor:  Taking taylor expansion of (cube (/ (cbrt (+ beta (+ alpha i))) (cbrt (+ beta (fma i 2 alpha))))) in alpha
* [misc]backup-simplify:  Simplify (cube (/ (cbrt (+ beta (+ alpha i))) (cbrt (+ beta (fma i 2 alpha))))) into (cube (/ (cbrt (+ beta (+ alpha i))) (cbrt (+ beta (fma i 2 alpha)))))
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) into (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)
* [misc]backup-simplify:  Simplify (* (cube (/ (cbrt (+ beta (+ alpha i))) (cbrt (+ beta (fma i 2 alpha))))) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) into (* (cube (/ (cbrt (+ beta (+ alpha i))) (cbrt (+ beta (fma i 2 alpha))))) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (/ (* (cube (/ (cbrt (+ beta (+ alpha i))) (cbrt (+ beta (fma i 2 alpha))))) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (sqr (fma i 2 alpha))) into (/ (* (cube (/ (cbrt (+ beta (+ alpha i))) (cbrt (+ beta (fma i 2 alpha))))) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (sqr (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (- (/ (* (cube (/ (cbrt (+ beta (+ alpha i))) (cbrt (+ beta (fma i 2 alpha))))) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (sqr (fma i 2 alpha)))) into (- (/ (* (cube (/ (cbrt (+ beta (+ alpha i))) (cbrt (+ beta (fma i 2 alpha))))) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (sqr (fma i 2 alpha))))
* [misc]taylor:  Taking taylor expansion of (- (/ (* (cube (/ (cbrt (+ beta (+ alpha i))) (cbrt (+ beta (fma i 2 alpha))))) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (sqr (fma i 2 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (/ (* (cube (/ (cbrt (+ beta (+ alpha i))) (cbrt (+ beta (fma i 2 alpha))))) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (sqr (fma i 2 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (* (cube (/ (cbrt (+ beta (+ alpha i))) (cbrt (+ beta (fma i 2 alpha))))) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) in i
* [misc]taylor:  Taking taylor expansion of (cube (/ (cbrt (+ beta (+ alpha i))) (cbrt (+ beta (fma i 2 alpha))))) in i
* [misc]backup-simplify:  Simplify (cube (/ (cbrt (+ beta (+ alpha i))) (cbrt (+ beta (fma i 2 alpha))))) into (cube (/ (cbrt (+ beta (+ alpha i))) (cbrt (+ beta (fma i 2 alpha)))))
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) in i
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in i
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) into 0
* [misc]backup-simplify:  Simplify (* (cube (/ (cbrt (+ beta (+ alpha i))) (cbrt (+ beta (fma i 2 alpha))))) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 1) (* 0 0)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]backup-simplify:  Simplify (+ (* (cube (/ (cbrt (+ beta (+ alpha i))) (cbrt (+ beta (fma i 2 alpha))))) (fma i (+ beta (+ alpha i)) (* beta alpha))) (* 0 0)) into (* (cube (/ (cbrt (+ beta (+ alpha i))) (cbrt (+ beta (fma i 2 alpha))))) (fma i (+ beta (+ alpha i)) (* beta alpha)))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (/ (* (cube (/ (cbrt (+ beta (+ alpha i))) (cbrt (+ beta (fma i 2 alpha))))) (fma i (+ beta (+ alpha i)) (* beta alpha))) (sqr (fma i 2 alpha))) into (/ (* (cube (/ (cbrt (+ beta (+ alpha i))) (cbrt (+ beta (fma i 2 alpha))))) (fma i (+ beta (+ alpha i)) (* beta alpha))) (sqr (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (- (/ (* (cube (/ (cbrt (+ beta (+ alpha i))) (cbrt (+ beta (fma i 2 alpha))))) (fma i (+ beta (+ alpha i)) (* beta alpha))) (sqr (fma i 2 alpha)))) into (- (/ (* (cube (/ (cbrt (+ beta (+ alpha i))) (cbrt (+ beta (fma i 2 alpha))))) (fma i (+ beta (+ alpha i)) (* beta alpha))) (sqr (fma i 2 alpha))))
* [misc]backup-simplify:  Simplify (- (/ (* (cube (/ (cbrt (+ beta (+ alpha i))) (cbrt (+ beta (fma i 2 alpha))))) (fma i (+ beta (+ alpha i)) (* beta alpha))) (sqr (fma i 2 alpha)))) into (- (/ (* (cube (/ (cbrt (+ beta (+ alpha i))) (cbrt (+ beta (fma i 2 alpha))))) (fma i (+ beta (+ alpha i)) (* beta alpha))) (sqr (fma i 2 alpha))))
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) (* 0 i)) into 0
* [misc]backup-simplify:  Simplify (+ (* (cube (/ (cbrt (+ beta (+ alpha i))) (cbrt (+ beta (fma i 2 alpha))))) 0) (* 0 (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (fma i 2 alpha)) (+ (* (/ (* (cube (/ (cbrt (+ beta (+ alpha i))) (cbrt (+ beta (fma i 2 alpha))))) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (fma i 2 alpha)) (/ 0 (fma i 2 alpha))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) (+ (* 0 1) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (+ (* (cube (/ (cbrt (+ beta (+ alpha i))) (cbrt (+ beta (fma i 2 alpha))))) 0) (+ (* 0 (fma i (+ beta (+ alpha i)) (* beta alpha))) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (fma i 2 alpha)) (+ (* (/ (* (cube (/ (cbrt (+ beta (+ alpha i))) (cbrt (+ beta (fma i 2 alpha))))) (fma i (+ beta (+ alpha i)) (* beta alpha))) (fma i 2 alpha)) (/ 0 (fma i 2 alpha))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (fma i 2 alpha)) (+ (* (/ i (fma i 2 alpha)) (/ 0 (fma i 2 alpha))) (* (- (/ i (sqr (fma i 2 alpha)))) (/ 1 (fma i 2 alpha))))) into (/ i (pow (fma i 2 alpha) 3))
* [misc]backup-simplify:  Simplify (+ (* (cube (/ (cbrt (+ beta (+ alpha i))) (cbrt (+ beta (fma i 2 alpha))))) 0) (+ (* 0 0) (* 0 (fma i (+ beta (+ alpha i)) (* beta alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* (cube (/ (cbrt (+ beta (+ alpha i))) (cbrt (+ beta (fma i 2 alpha))))) (fma i (+ beta (+ alpha i)) (* beta alpha))) (/ i (pow (fma i 2 alpha) 3))) (+ (* 0 (- (/ i (sqr (fma i 2 alpha))))) (* 0 (/ i (fma i 2 alpha))))) into (/ (* (cube (/ (cbrt (+ beta (+ alpha i))) (cbrt (+ beta (fma i 2 alpha))))) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (pow (fma i 2 alpha) 3))
* [misc]taylor:  Taking taylor expansion of (/ (* (cube (/ (cbrt (+ beta (+ alpha i))) (cbrt (+ beta (fma i 2 alpha))))) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (pow (fma i 2 alpha) 3)) in alpha
* [misc]taylor:  Taking taylor expansion of (* (cube (/ (cbrt (+ beta (+ alpha i))) (cbrt (+ beta (fma i 2 alpha))))) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) in alpha
* [misc]taylor:  Taking taylor expansion of (cube (/ (cbrt (+ beta (+ alpha i))) (cbrt (+ beta (fma i 2 alpha))))) in alpha
* [misc]backup-simplify:  Simplify (cube (/ (cbrt (+ beta (+ alpha i))) (cbrt (+ beta (fma i 2 alpha))))) into (cube (/ (cbrt (+ beta (+ alpha i))) (cbrt (+ beta (fma i 2 alpha)))))
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (pow (fma i 2 alpha) 3) in alpha
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (fma i 2 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 3 (log (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of 3 in alpha
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (log (fma i 2 alpha)) into (log (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* 3 (log (fma i 2 alpha))) into (* 3 (log (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (fma i 2 alpha)))) into (pow (fma i 2 alpha) 3)
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) into (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)
* [misc]backup-simplify:  Simplify (* (cube (/ (cbrt (+ beta (+ alpha i))) (cbrt (+ beta (fma i 2 alpha))))) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) into (* (cube (/ (cbrt (+ beta (+ alpha i))) (cbrt (+ beta (fma i 2 alpha))))) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i))
* [misc]backup-simplify:  Simplify (/ (* (cube (/ (cbrt (+ beta (+ alpha i))) (cbrt (+ beta (fma i 2 alpha))))) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (pow (fma i 2 alpha) 3)) into (/ (* (cube (/ (cbrt (+ beta (+ alpha i))) (cbrt (+ beta (fma i 2 alpha))))) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (pow (fma i 2 alpha) 3))
* [misc]taylor:  Taking taylor expansion of (/ (* (cube (/ (cbrt (+ beta (+ alpha i))) (cbrt (+ beta (fma i 2 alpha))))) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (pow (fma i 2 alpha) 3)) in i
* [misc]taylor:  Taking taylor expansion of (* (cube (/ (cbrt (+ beta (+ alpha i))) (cbrt (+ beta (fma i 2 alpha))))) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) in i
* [misc]taylor:  Taking taylor expansion of (cube (/ (cbrt (+ beta (+ alpha i))) (cbrt (+ beta (fma i 2 alpha))))) in i
* [misc]backup-simplify:  Simplify (cube (/ (cbrt (+ beta (+ alpha i))) (cbrt (+ beta (fma i 2 alpha))))) into (cube (/ (cbrt (+ beta (+ alpha i))) (cbrt (+ beta (fma i 2 alpha)))))
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) in i
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in i
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow (fma i 2 alpha) 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (fma i 2 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log (fma i 2 alpha))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (log (fma i 2 alpha)) into (log (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* 3 (log (fma i 2 alpha))) into (* 3 (log (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (fma i 2 alpha)))) into (pow (fma i 2 alpha) 3)
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) into 0
* [misc]backup-simplify:  Simplify (* (cube (/ (cbrt (+ beta (+ alpha i))) (cbrt (+ beta (fma i 2 alpha))))) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 1) (* 0 0)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]backup-simplify:  Simplify (+ (* (cube (/ (cbrt (+ beta (+ alpha i))) (cbrt (+ beta (fma i 2 alpha))))) (fma i (+ beta (+ alpha i)) (* beta alpha))) (* 0 0)) into (* (cube (/ (cbrt (+ beta (+ alpha i))) (cbrt (+ beta (fma i 2 alpha))))) (fma i (+ beta (+ alpha i)) (* beta alpha)))
* [misc]backup-simplify:  Simplify (/ (* (cube (/ (cbrt (+ beta (+ alpha i))) (cbrt (+ beta (fma i 2 alpha))))) (fma i (+ beta (+ alpha i)) (* beta alpha))) (pow (fma i 2 alpha) 3)) into (/ (* (cube (/ (cbrt (+ beta (+ alpha i))) (cbrt (+ beta (fma i 2 alpha))))) (fma i (+ beta (+ alpha i)) (* beta alpha))) (pow (fma i 2 alpha) 3))
* [misc]backup-simplify:  Simplify (/ (* (cube (/ (cbrt (+ beta (+ alpha i))) (cbrt (+ beta (fma i 2 alpha))))) (fma i (+ beta (+ alpha i)) (* beta alpha))) (pow (fma i 2 alpha) 3)) into (/ (* (cube (/ (cbrt (+ beta (+ alpha i))) (cbrt (+ beta (fma i 2 alpha))))) (fma i (+ beta (+ alpha i)) (* beta alpha))) (pow (fma i 2 alpha) 3))
* [misc]backup-simplify:  Simplify (+ (* (/ (* (cube (/ (cbrt (+ beta (+ alpha i))) (cbrt (+ beta (fma i 2 alpha))))) (fma i (+ beta (+ alpha i)) (* beta alpha))) (pow (fma i 2 alpha) 3)) (* i (* 1 (sqr beta)))) (+ (* (- (/ (* (cube (/ (cbrt (+ beta (+ alpha i))) (cbrt (+ beta (fma i 2 alpha))))) (fma i (+ beta (+ alpha i)) (* beta alpha))) (sqr (fma i 2 alpha)))) (* i (* 1 beta))) (* (/ (* (cube (/ (cbrt (+ beta (+ alpha i))) (cbrt (+ beta (fma i 2 alpha))))) (fma i (+ beta (+ alpha i)) (* beta alpha))) (fma i 2 alpha)) (* i (* 1 1))))) into (- (+ (/ (* (cube (/ (cbrt (+ beta (+ alpha i))) (cbrt (+ beta (fma i 2 alpha))))) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr beta) i))) (pow (fma i 2 alpha) 3)) (/ (* (cube (/ (cbrt (+ beta (+ alpha i))) (cbrt (+ beta (fma i 2 alpha))))) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (fma i 2 alpha))) (/ (* (cube (/ (cbrt (+ beta (+ alpha i))) (cbrt (+ beta (fma i 2 alpha))))) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* beta i))) (sqr (fma i 2 alpha))))
* [misc]approximate:  Taking taylor expansion of (* (* (cube (/ (cbrt (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) in (beta alpha i) around 0
* [misc]taylor:  Taking taylor expansion of (* (* (cube (/ (cbrt (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (* (cube (/ (cbrt (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) in i
* [misc]taylor:  Taking taylor expansion of (cube (/ (cbrt (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) in i
* [misc]backup-simplify:  Simplify (cube (/ (cbrt (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) into (cube (/ (cbrt (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) into (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) into (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (* (* (cube (/ (cbrt (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (cube (/ (cbrt (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) in alpha
* [misc]taylor:  Taking taylor expansion of (cube (/ (cbrt (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) in alpha
* [misc]backup-simplify:  Simplify (cube (/ (cbrt (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) into (cube (/ (cbrt (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) into (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) into (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))
* [misc]taylor:  Taking taylor expansion of (* (* (cube (/ (cbrt (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (* (cube (/ (cbrt (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) in beta
* [misc]taylor:  Taking taylor expansion of (cube (/ (cbrt (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) in beta
* [misc]backup-simplify:  Simplify (cube (/ (cbrt (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) into (cube (/ (cbrt (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (/ 1 i) 1) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (* (* (cube (/ (cbrt (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (* (cube (/ (cbrt (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) in beta
* [misc]taylor:  Taking taylor expansion of (cube (/ (cbrt (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) in beta
* [misc]backup-simplify:  Simplify (cube (/ (cbrt (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) into (cube (/ (cbrt (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (/ 1 i) 1) into (/ 1 i)
* [misc]backup-simplify:  Simplify (* (cube (/ (cbrt (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) into (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (cube (/ (cbrt (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))))
* [misc]backup-simplify:  Simplify (* (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (cube (/ (cbrt (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))) (/ 1 i)) into (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (cube (/ (cbrt (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))) i)
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (cube (/ (cbrt (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))) i) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (cube (/ (cbrt (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (cube (/ (cbrt (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) in alpha
* [misc]backup-simplify:  Simplify (cube (/ (cbrt (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) into (cube (/ (cbrt (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (cube (/ (cbrt (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))) into (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (cube (/ (cbrt (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))))
* [misc]backup-simplify:  Simplify (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (cube (/ (cbrt (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))) i) into (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (cube (/ (cbrt (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))) i)
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (cube (/ (cbrt (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))) i) in i
* [misc]taylor:  Taking taylor expansion of (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (cube (/ (cbrt (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (cube (/ (cbrt (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) in i
* [misc]backup-simplify:  Simplify (cube (/ (cbrt (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) into (cube (/ (cbrt (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (cube (/ (cbrt (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))) into (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (cube (/ (cbrt (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))))
* [misc]backup-simplify:  Simplify (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (cube (/ (cbrt (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))) 1) into (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (cube (/ (cbrt (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))))
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (cube (/ (cbrt (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))) into (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (cube (/ (cbrt (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (fma (/ 1 i) 2 (/ 1 alpha))) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (/ 1 i) (/ (fma (/ 1 i) 2 (/ 1 alpha)) 1)))) into (- (/ (fma (/ 1 i) 2 (/ 1 alpha)) i))
* [misc]backup-simplify:  Simplify (+ (* (cube (/ (cbrt (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) 0) (* 0 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (cube (/ (cbrt (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))) (- (/ (fma (/ 1 i) 2 (/ 1 alpha)) i))) (* 0 (/ 1 i))) into (- (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (cube (/ (cbrt (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) (fma (/ 1 i) 2 (/ 1 alpha)))) i))
* [misc]taylor:  Taking taylor expansion of (- (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (cube (/ (cbrt (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) (fma (/ 1 i) 2 (/ 1 alpha)))) i)) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (cube (/ (cbrt (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) (fma (/ 1 i) 2 (/ 1 alpha)))) i) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (cube (/ (cbrt (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) (fma (/ 1 i) 2 (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (* (cube (/ (cbrt (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) (fma (/ 1 i) 2 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (cube (/ (cbrt (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) in alpha
* [misc]backup-simplify:  Simplify (cube (/ (cbrt (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) into (cube (/ (cbrt (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* (cube (/ (cbrt (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) (fma (/ 1 i) 2 (/ 1 alpha))) into (* (cube (/ (cbrt (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (cube (/ (cbrt (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) (fma (/ 1 i) 2 (/ 1 alpha)))) into (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (cube (/ (cbrt (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (cube (/ (cbrt (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) (fma (/ 1 i) 2 (/ 1 alpha)))) i) into (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (cube (/ (cbrt (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) (fma (/ 1 i) 2 (/ 1 alpha)))) i)
* [misc]backup-simplify:  Simplify (- (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (cube (/ (cbrt (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) (fma (/ 1 i) 2 (/ 1 alpha)))) i)) into (- (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (cube (/ (cbrt (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) (fma (/ 1 i) 2 (/ 1 alpha)))) i))
* [misc]taylor:  Taking taylor expansion of (- (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (cube (/ (cbrt (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) (fma (/ 1 i) 2 (/ 1 alpha)))) i)) in i
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (cube (/ (cbrt (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) (fma (/ 1 i) 2 (/ 1 alpha)))) i) in i
* [misc]taylor:  Taking taylor expansion of (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (cube (/ (cbrt (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) (fma (/ 1 i) 2 (/ 1 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (* (cube (/ (cbrt (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) (fma (/ 1 i) 2 (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (cube (/ (cbrt (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) in i
* [misc]backup-simplify:  Simplify (cube (/ (cbrt (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) into (cube (/ (cbrt (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (cube (/ (cbrt (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) (fma (/ 1 i) 2 (/ 1 alpha))) into (* (cube (/ (cbrt (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (cube (/ (cbrt (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) (fma (/ 1 i) 2 (/ 1 alpha)))) into (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (cube (/ (cbrt (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (cube (/ (cbrt (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) (fma (/ 1 i) 2 (/ 1 alpha)))) 1) into (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (cube (/ (cbrt (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (- (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (cube (/ (cbrt (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) (fma (/ 1 i) 2 (/ 1 alpha))))) into (- (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (cube (/ (cbrt (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) (fma (/ 1 i) 2 (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (- (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (cube (/ (cbrt (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) (fma (/ 1 i) 2 (/ 1 alpha))))) into (- (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (cube (/ (cbrt (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) (fma (/ 1 i) 2 (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (+ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 0) (* 0 (cube (/ (cbrt (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 i) (+ (* (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (cube (/ (cbrt (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))) i) (/ 0 i)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 0) (* 0 (cube (/ (cbrt (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (cube (/ (cbrt (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))) (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 i) (/ 0 i)) (* 0 (/ 0 i)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (/ 1 i) (/ 0 1)) (* (- (/ (fma (/ 1 i) 2 (/ 1 alpha)) i)) (/ (fma (/ 1 i) 2 (/ 1 alpha)) 1)))) into (/ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) i)
* [misc]backup-simplify:  Simplify (+ (* (cube (/ (cbrt (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) 0) (+ (* 0 0) (* 0 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (cube (/ (cbrt (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))) (/ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) i)) (+ (* 0 (- (/ (fma (/ 1 i) 2 (/ 1 alpha)) i))) (* 0 (/ 1 i)))) into (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (cube (/ (cbrt (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))) i)
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (cube (/ (cbrt (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))) i) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (cube (/ (cbrt (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (* (cube (/ (cbrt (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (cube (/ (cbrt (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) in alpha
* [misc]backup-simplify:  Simplify (cube (/ (cbrt (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) into (cube (/ (cbrt (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ 1 i) 2 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 i) 2 (/ 1 alpha))) into (sqr (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* (cube (/ (cbrt (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) into (* (cube (/ (cbrt (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (cube (/ (cbrt (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))) into (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (cube (/ (cbrt (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (cube (/ (cbrt (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))) i) into (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (cube (/ (cbrt (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))) i)
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (cube (/ (cbrt (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))) i) in i
* [misc]taylor:  Taking taylor expansion of (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (cube (/ (cbrt (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (* (cube (/ (cbrt (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (cube (/ (cbrt (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) in i
* [misc]backup-simplify:  Simplify (cube (/ (cbrt (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) into (cube (/ (cbrt (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ 1 i) 2 (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 i) 2 (/ 1 alpha))) into (sqr (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* (cube (/ (cbrt (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) into (* (cube (/ (cbrt (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (cube (/ (cbrt (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))) into (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (cube (/ (cbrt (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (cube (/ (cbrt (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))) 1) into (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (cube (/ (cbrt (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (cube (/ (cbrt (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))) into (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (cube (/ (cbrt (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (+ (* (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (cube (/ (cbrt (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))) (* (/ 1 (/ 1 i)) (* 1 (pow (/ 1 beta) 3)))) (+ (* (- (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (cube (/ (cbrt (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) (fma (/ 1 i) 2 (/ 1 alpha))))) (* (/ 1 (/ 1 i)) (* 1 (sqr (/ 1 beta))))) (* (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (cube (/ (cbrt (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))) (* (/ 1 (/ 1 i)) (* 1 (/ 1 beta)))))) into (- (+ (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (cube (/ (cbrt (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) (* (sqr (fma (/ 1 i) 2 (/ 1 alpha))) i))) (pow beta 3)) (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (cube (/ (cbrt (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) i)) beta)) (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (cube (/ (cbrt (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) (* (fma (/ 1 i) 2 (/ 1 alpha)) i))) (sqr beta)))
* [misc]approximate:  Taking taylor expansion of (* (* (cube (/ (cbrt (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i)))) (cbrt (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) in (beta alpha i) around 0
* [misc]taylor:  Taking taylor expansion of (* (* (cube (/ (cbrt (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i)))) (cbrt (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) in i
* [misc]taylor:  Taking taylor expansion of (* (cube (/ (cbrt (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i)))) (cbrt (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) in i
* [misc]taylor:  Taking taylor expansion of (cube (/ (cbrt (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i)))) (cbrt (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))))) in i
* [misc]backup-simplify:  Simplify (cube (/ (cbrt (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i)))) (cbrt (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))))) into (cube (/ (cbrt (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))))) (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in i
* [misc]taylor:  Taking taylor expansion of (- i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in i
* [misc]taylor:  Taking taylor expansion of (- beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (+ (/ -1 beta) (fma (/ -1 i) 2 (/ -1 alpha))) into (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))
* [misc]backup-simplify:  Simplify (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) into (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))
* [misc]taylor:  Taking taylor expansion of (* (* (cube (/ (cbrt (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i)))) (cbrt (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (cube (/ (cbrt (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i)))) (cbrt (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) in alpha
* [misc]taylor:  Taking taylor expansion of (cube (/ (cbrt (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i)))) (cbrt (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))))) in alpha
* [misc]backup-simplify:  Simplify (cube (/ (cbrt (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i)))) (cbrt (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))))) into (cube (/ (cbrt (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))))) (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in alpha
* [misc]taylor:  Taking taylor expansion of (- i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (+ (/ -1 beta) (fma (/ -1 i) 2 (/ -1 alpha))) into (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))
* [misc]backup-simplify:  Simplify (/ (/ -1 i) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) into (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))
* [misc]taylor:  Taking taylor expansion of (* (* (cube (/ (cbrt (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i)))) (cbrt (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) in beta
* [misc]taylor:  Taking taylor expansion of (* (cube (/ (cbrt (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i)))) (cbrt (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) in beta
* [misc]taylor:  Taking taylor expansion of (cube (/ (cbrt (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i)))) (cbrt (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))))) in beta
* [misc]backup-simplify:  Simplify (cube (/ (cbrt (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i)))) (cbrt (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))))) into (cube (/ (cbrt (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))))) (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in beta
* [misc]taylor:  Taking taylor expansion of (- i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (/ (/ -1 i) -1) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (* (* (cube (/ (cbrt (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i)))) (cbrt (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) in beta
* [misc]taylor:  Taking taylor expansion of (* (cube (/ (cbrt (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i)))) (cbrt (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) in beta
* [misc]taylor:  Taking taylor expansion of (cube (/ (cbrt (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i)))) (cbrt (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))))) in beta
* [misc]backup-simplify:  Simplify (cube (/ (cbrt (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i)))) (cbrt (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))))) into (cube (/ (cbrt (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))))) (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in beta
* [misc]taylor:  Taking taylor expansion of (- i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (/ (/ -1 i) -1) into (/ 1 i)
* [misc]backup-simplify:  Simplify (* (cube (/ (cbrt (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))))) (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) into (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (cube (/ (cbrt (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))))) (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))))
* [misc]backup-simplify:  Simplify (* (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (cube (/ (cbrt (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))))) (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))) (/ 1 i)) into (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (cube (/ (cbrt (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))))) (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))) i)
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (cube (/ (cbrt (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))))) (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))) i) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (cube (/ (cbrt (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))))) (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (cube (/ (cbrt (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))))) (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) in alpha
* [misc]backup-simplify:  Simplify (cube (/ (cbrt (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))))) (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) into (cube (/ (cbrt (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))))) (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (cube (/ (cbrt (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))))) (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))) into (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (cube (/ (cbrt (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))))) (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))))
* [misc]backup-simplify:  Simplify (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (cube (/ (cbrt (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))))) (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))) i) into (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (cube (/ (cbrt (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))))) (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))) i)
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (cube (/ (cbrt (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))))) (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))) i) in i
* [misc]taylor:  Taking taylor expansion of (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (cube (/ (cbrt (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))))) (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (cube (/ (cbrt (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))))) (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) in i
* [misc]backup-simplify:  Simplify (cube (/ (cbrt (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))))) (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) into (cube (/ (cbrt (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))))) (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (cube (/ (cbrt (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))))) (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))) into (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (cube (/ (cbrt (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))))) (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))))
* [misc]backup-simplify:  Simplify (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (cube (/ (cbrt (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))))) (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))) 1) into (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (cube (/ (cbrt (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))))) (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))))
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (cube (/ (cbrt (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))))) (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))) into (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (cube (/ (cbrt (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))))) (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 i) (/ 0 (- i))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (fma (/ -1 i) 2 (/ -1 alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (- (/ 0 -1) (+ (* (/ 1 i) (/ (fma (/ -1 i) 2 (/ -1 alpha)) -1)))) into (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)
* [misc]backup-simplify:  Simplify (+ (* (cube (/ (cbrt (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))))) (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) 0) (* 0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (cube (/ (cbrt (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))))) (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))) (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)) (* 0 (/ 1 i))) into (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (cube (/ (cbrt (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))))) (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))))) i)
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (cube (/ (cbrt (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))))) (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))))) i) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma (/ -1 i) 2 (/ -1 alpha)) (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (cube (/ (cbrt (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))))) (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (cube (/ (cbrt (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))))) (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (cube (/ (cbrt (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))))) (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) in alpha
* [misc]backup-simplify:  Simplify (cube (/ (cbrt (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))))) (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) into (cube (/ (cbrt (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))))) (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (cube (/ (cbrt (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))))) (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))) into (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (cube (/ (cbrt (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))))) (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))))
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (cube (/ (cbrt (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))))) (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))))) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (cube (/ (cbrt (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))))) (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))))
* [misc]backup-simplify:  Simplify (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (cube (/ (cbrt (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))))) (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))))) i) into (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (cube (/ (cbrt (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))))) (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))))) i)
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (cube (/ (cbrt (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))))) (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))))) i) in i
* [misc]taylor:  Taking taylor expansion of (* (fma (/ -1 i) 2 (/ -1 alpha)) (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (cube (/ (cbrt (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))))) (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (cube (/ (cbrt (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))))) (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (cube (/ (cbrt (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))))) (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) in i
* [misc]backup-simplify:  Simplify (cube (/ (cbrt (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))))) (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) into (cube (/ (cbrt (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))))) (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (cube (/ (cbrt (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))))) (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))) into (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (cube (/ (cbrt (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))))) (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))))
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (cube (/ (cbrt (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))))) (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))))) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (cube (/ (cbrt (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))))) (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))))
* [misc]backup-simplify:  Simplify (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (cube (/ (cbrt (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))))) (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))))) 1) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (cube (/ (cbrt (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))))) (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))))
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (cube (/ (cbrt (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))))) (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))))) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (cube (/ (cbrt (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))))) (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))))
* [misc]backup-simplify:  Simplify (+ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 0) (* 0 (cube (/ (cbrt (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))))) (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 i) (+ (* (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (cube (/ (cbrt (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))))) (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))) i) (/ 0 i)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 0) (* 0 (cube (/ (cbrt (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))))) (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (cube (/ (cbrt (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))))) (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))) (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 i) (/ 0 (- i))) (* 0 (/ 0 (- i))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 -1) (+ (* (/ 1 i) (/ 0 -1)) (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) i) (/ (fma (/ -1 i) 2 (/ -1 alpha)) -1)))) into (/ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) i)
* [misc]backup-simplify:  Simplify (+ (* (cube (/ (cbrt (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))))) (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) 0) (+ (* 0 0) (* 0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (cube (/ (cbrt (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))))) (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))) (/ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) i)) (+ (* 0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)) (* 0 (/ 1 i)))) into (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (cube (/ (cbrt (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))))) (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))))) i)
* [misc]taylor:  Taking taylor expansion of (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (cube (/ (cbrt (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))))) (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))))) i) in alpha
* [misc]taylor:  Taking taylor expansion of (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (cube (/ (cbrt (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))))) (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ -1 i) 2 (/ -1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (cube (/ (cbrt (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))))) (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (cube (/ (cbrt (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))))) (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) in alpha
* [misc]backup-simplify:  Simplify (cube (/ (cbrt (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))))) (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) into (cube (/ (cbrt (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))))) (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) 2 (/ -1 alpha))) into (sqr (fma (/ -1 i) 2 (/ -1 alpha)))
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (cube (/ (cbrt (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))))) (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))) into (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (cube (/ (cbrt (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))))) (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))))
* [misc]backup-simplify:  Simplify (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (cube (/ (cbrt (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))))) (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))))) into (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (cube (/ (cbrt (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))))) (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))))
* [misc]backup-simplify:  Simplify (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (cube (/ (cbrt (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))))) (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))))) i) into (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (cube (/ (cbrt (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))))) (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))))) i)
* [misc]taylor:  Taking taylor expansion of (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (cube (/ (cbrt (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))))) (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))))) i) in i
* [misc]taylor:  Taking taylor expansion of (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (cube (/ (cbrt (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))))) (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))))) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ -1 i) 2 (/ -1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (cube (/ (cbrt (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))))) (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (cube (/ (cbrt (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))))) (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) in i
* [misc]backup-simplify:  Simplify (cube (/ (cbrt (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))))) (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) into (cube (/ (cbrt (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))))) (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) 2 (/ -1 alpha))) into (sqr (fma (/ -1 i) 2 (/ -1 alpha)))
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (cube (/ (cbrt (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))))) (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))) into (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (cube (/ (cbrt (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))))) (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))))
* [misc]backup-simplify:  Simplify (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (cube (/ (cbrt (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))))) (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))))) into (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (cube (/ (cbrt (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))))) (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))))
* [misc]backup-simplify:  Simplify (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (cube (/ (cbrt (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))))) (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))))) 1) into (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (cube (/ (cbrt (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))))) (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))))
* [misc]backup-simplify:  Simplify (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (cube (/ (cbrt (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))))) (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))))) into (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (cube (/ (cbrt (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))))) (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))))
* [misc]backup-simplify:  Simplify (+ (* (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (cube (/ (cbrt (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))))) (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))))) (* (/ 1 (/ 1 (- i))) (* 1 (pow (/ 1 (- beta)) 3)))) (+ (* (* (fma (/ -1 i) 2 (/ -1 alpha)) (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (cube (/ (cbrt (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))))) (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))))) (* (/ 1 (/ 1 (- i))) (* 1 (sqr (/ 1 (- beta)))))) (* (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (cube (/ (cbrt (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))))) (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))) (* (/ 1 (/ 1 (- i))) (* 1 (/ 1 (- beta))))))) into (- (+ (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* i (cube (/ (cbrt (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))))) (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))))) (pow beta 3)) (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* i (cube (/ (cbrt (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))))) (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))))) beta)) (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* i (cube (/ (cbrt (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))))) (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))))) (sqr beta)))
* [misc]approximate:  Taking taylor expansion of (cube (/ (cbrt (+ (+ beta alpha) i)) (cbrt (+ beta (fma i 2 alpha))))) in (beta alpha i) around 0
* [misc]taylor:  Taking taylor expansion of (cube (/ (cbrt (+ (+ beta alpha) i)) (cbrt (+ beta (fma i 2 alpha))))) in i
* [misc]backup-simplify:  Simplify (cube (/ (cbrt (+ (+ beta alpha) i)) (cbrt (+ beta (fma i 2 alpha))))) into (cube (/ (cbrt (+ beta (+ alpha i))) (cbrt (+ beta (fma i 2 alpha)))))
* [misc]taylor:  Taking taylor expansion of (cube (/ (cbrt (+ (+ beta alpha) i)) (cbrt (+ beta (fma i 2 alpha))))) in alpha
* [misc]backup-simplify:  Simplify (cube (/ (cbrt (+ (+ beta alpha) i)) (cbrt (+ beta (fma i 2 alpha))))) into (cube (/ (cbrt (+ beta (+ alpha i))) (cbrt (+ beta (fma i 2 alpha)))))
* [misc]taylor:  Taking taylor expansion of (cube (/ (cbrt (+ (+ beta alpha) i)) (cbrt (+ beta (fma i 2 alpha))))) in beta
* [misc]backup-simplify:  Simplify (cube (/ (cbrt (+ (+ beta alpha) i)) (cbrt (+ beta (fma i 2 alpha))))) into (cube (/ (cbrt (+ beta (+ alpha i))) (cbrt (+ beta (fma i 2 alpha)))))
* [misc]taylor:  Taking taylor expansion of (cube (/ (cbrt (+ (+ beta alpha) i)) (cbrt (+ beta (fma i 2 alpha))))) in beta
* [misc]backup-simplify:  Simplify (cube (/ (cbrt (+ (+ beta alpha) i)) (cbrt (+ beta (fma i 2 alpha))))) into (cube (/ (cbrt (+ beta (+ alpha i))) (cbrt (+ beta (fma i 2 alpha)))))
* [misc]taylor:  Taking taylor expansion of (cube (/ (cbrt (+ beta (+ alpha i))) (cbrt (+ beta (fma i 2 alpha))))) in alpha
* [misc]backup-simplify:  Simplify (cube (/ (cbrt (+ beta (+ alpha i))) (cbrt (+ beta (fma i 2 alpha))))) into (cube (/ (cbrt (+ beta (+ alpha i))) (cbrt (+ beta (fma i 2 alpha)))))
* [misc]taylor:  Taking taylor expansion of (cube (/ (cbrt (+ beta (+ alpha i))) (cbrt (+ beta (fma i 2 alpha))))) in i
* [misc]backup-simplify:  Simplify (cube (/ (cbrt (+ beta (+ alpha i))) (cbrt (+ beta (fma i 2 alpha))))) into (cube (/ (cbrt (+ beta (+ alpha i))) (cbrt (+ beta (fma i 2 alpha)))))
* [misc]backup-simplify:  Simplify (cube (/ (cbrt (+ beta (+ alpha i))) (cbrt (+ beta (fma i 2 alpha))))) into (cube (/ (cbrt (+ beta (+ alpha i))) (cbrt (+ beta (fma i 2 alpha)))))
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (cube (/ (cbrt (+ beta (+ alpha i))) (cbrt (+ beta (fma i 2 alpha))))) into (cube (/ (cbrt (+ beta (+ alpha i))) (cbrt (+ beta (fma i 2 alpha)))))
* [misc]approximate:  Taking taylor expansion of (cube (/ (cbrt (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) in (beta alpha i) around 0
* [misc]taylor:  Taking taylor expansion of (cube (/ (cbrt (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) in i
* [misc]backup-simplify:  Simplify (cube (/ (cbrt (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) into (cube (/ (cbrt (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))
* [misc]taylor:  Taking taylor expansion of (cube (/ (cbrt (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) in alpha
* [misc]backup-simplify:  Simplify (cube (/ (cbrt (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) into (cube (/ (cbrt (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))
* [misc]taylor:  Taking taylor expansion of (cube (/ (cbrt (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) in beta
* [misc]backup-simplify:  Simplify (cube (/ (cbrt (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) into (cube (/ (cbrt (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))
* [misc]taylor:  Taking taylor expansion of (cube (/ (cbrt (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) in beta
* [misc]backup-simplify:  Simplify (cube (/ (cbrt (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) into (cube (/ (cbrt (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))
* [misc]taylor:  Taking taylor expansion of (cube (/ (cbrt (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) in alpha
* [misc]backup-simplify:  Simplify (cube (/ (cbrt (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) into (cube (/ (cbrt (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))
* [misc]taylor:  Taking taylor expansion of (cube (/ (cbrt (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) in i
* [misc]backup-simplify:  Simplify (cube (/ (cbrt (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) into (cube (/ (cbrt (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))
* [misc]backup-simplify:  Simplify (cube (/ (cbrt (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) into (cube (/ (cbrt (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (cube (/ (cbrt (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) into (cube (/ (cbrt (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))
* [misc]approximate:  Taking taylor expansion of (cube (/ (cbrt (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i)))) (cbrt (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))))) in (beta alpha i) around 0
* [misc]taylor:  Taking taylor expansion of (cube (/ (cbrt (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i)))) (cbrt (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))))) in i
* [misc]backup-simplify:  Simplify (cube (/ (cbrt (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i)))) (cbrt (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))))) into (cube (/ (cbrt (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))))) (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))
* [misc]taylor:  Taking taylor expansion of (cube (/ (cbrt (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i)))) (cbrt (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))))) in alpha
* [misc]backup-simplify:  Simplify (cube (/ (cbrt (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i)))) (cbrt (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))))) into (cube (/ (cbrt (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))))) (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))
* [misc]taylor:  Taking taylor expansion of (cube (/ (cbrt (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i)))) (cbrt (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))))) in beta
* [misc]backup-simplify:  Simplify (cube (/ (cbrt (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i)))) (cbrt (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))))) into (cube (/ (cbrt (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))))) (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))
* [misc]taylor:  Taking taylor expansion of (cube (/ (cbrt (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i)))) (cbrt (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))))) in beta
* [misc]backup-simplify:  Simplify (cube (/ (cbrt (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i)))) (cbrt (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))))) into (cube (/ (cbrt (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))))) (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))
* [misc]taylor:  Taking taylor expansion of (cube (/ (cbrt (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))))) (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) in alpha
* [misc]backup-simplify:  Simplify (cube (/ (cbrt (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))))) (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) into (cube (/ (cbrt (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))))) (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))
* [misc]taylor:  Taking taylor expansion of (cube (/ (cbrt (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))))) (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) in i
* [misc]backup-simplify:  Simplify (cube (/ (cbrt (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))))) (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) into (cube (/ (cbrt (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))))) (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))
* [misc]backup-simplify:  Simplify (cube (/ (cbrt (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))))) (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) into (cube (/ (cbrt (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))))) (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (cube (/ (cbrt (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))))) (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) into (cube (/ (cbrt (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))))) (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))
* [misc]approximate:  Taking taylor expansion of (cbrt (+ beta (fma i 2 alpha))) in (beta i alpha) around 0
* [misc]taylor:  Taking taylor expansion of (cbrt (+ beta (fma i 2 alpha))) in alpha
* [misc]backup-simplify:  Simplify (cbrt (+ beta (fma i 2 alpha))) into (cbrt (+ beta (fma i 2 alpha)))
* [misc]taylor:  Taking taylor expansion of (cbrt (+ beta (fma i 2 alpha))) in i
* [misc]backup-simplify:  Simplify (cbrt (+ beta (fma i 2 alpha))) into (cbrt (+ beta (fma i 2 alpha)))
* [misc]taylor:  Taking taylor expansion of (cbrt (+ beta (fma i 2 alpha))) in beta
* [misc]backup-simplify:  Simplify (cbrt (+ beta (fma i 2 alpha))) into (cbrt (+ beta (fma i 2 alpha)))
* [misc]taylor:  Taking taylor expansion of (cbrt (+ beta (fma i 2 alpha))) in beta
* [misc]backup-simplify:  Simplify (cbrt (+ beta (fma i 2 alpha))) into (cbrt (+ beta (fma i 2 alpha)))
* [misc]taylor:  Taking taylor expansion of (cbrt (+ beta (fma i 2 alpha))) in i
* [misc]backup-simplify:  Simplify (cbrt (+ beta (fma i 2 alpha))) into (cbrt (+ beta (fma i 2 alpha)))
* [misc]taylor:  Taking taylor expansion of (cbrt (+ beta (fma i 2 alpha))) in alpha
* [misc]backup-simplify:  Simplify (cbrt (+ beta (fma i 2 alpha))) into (cbrt (+ beta (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (cbrt (+ beta (fma i 2 alpha))) into (cbrt (+ beta (fma i 2 alpha)))
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (cbrt (+ beta (fma i 2 alpha))) into (cbrt (+ beta (fma i 2 alpha)))
* [misc]approximate:  Taking taylor expansion of (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in (beta i alpha) around 0
* [misc]taylor:  Taking taylor expansion of (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in alpha
* [misc]backup-simplify:  Simplify (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) into (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in i
* [misc]backup-simplify:  Simplify (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) into (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in beta
* [misc]backup-simplify:  Simplify (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) into (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in beta
* [misc]backup-simplify:  Simplify (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) into (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in i
* [misc]backup-simplify:  Simplify (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) into (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in alpha
* [misc]backup-simplify:  Simplify (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) into (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) into (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) into (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]approximate:  Taking taylor expansion of (cbrt (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in (beta i alpha) around 0
* [misc]taylor:  Taking taylor expansion of (cbrt (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in alpha
* [misc]backup-simplify:  Simplify (cbrt (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) into (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))
* [misc]taylor:  Taking taylor expansion of (cbrt (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in i
* [misc]backup-simplify:  Simplify (cbrt (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) into (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))
* [misc]taylor:  Taking taylor expansion of (cbrt (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in beta
* [misc]backup-simplify:  Simplify (cbrt (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) into (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))
* [misc]taylor:  Taking taylor expansion of (cbrt (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in beta
* [misc]backup-simplify:  Simplify (cbrt (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) into (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))
* [misc]taylor:  Taking taylor expansion of (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) in i
* [misc]backup-simplify:  Simplify (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) into (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))
* [misc]taylor:  Taking taylor expansion of (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) in alpha
* [misc]backup-simplify:  Simplify (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) into (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))
* [misc]backup-simplify:  Simplify (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) into (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) into (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))
* * * [misc]progress:  tayloring alt 3 of 10
* [misc]approximate:  Taking taylor expansion of (/ (fma (/ 1 i) (+ (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (* beta beta)) 1.0))) in (i beta alpha) around 0
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) (+ (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (* beta beta)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (* beta beta)) 1.0)) in alpha
* [misc]backup-simplify:  Simplify (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (* beta beta)) 1.0)) into (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0))
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))) (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0))) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))) (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)))
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) (+ (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (* beta beta)) 1.0))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (/ 1 (* beta alpha))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (* beta beta)) 1.0)) in beta
* [misc]backup-simplify:  Simplify (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (* beta beta)) 1.0)) into (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0))
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))) (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0))) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))) (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)))
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) (+ (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (* beta beta)) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (* beta beta)) 1.0)) in i
* [misc]backup-simplify:  Simplify (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (* beta beta)) 1.0)) into (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0))
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))) (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0))) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))) (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)))
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) (+ (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (* beta beta)) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (* beta beta)) 1.0)) in i
* [misc]backup-simplify:  Simplify (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (* beta beta)) 1.0)) into (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0))
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))) (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0))) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))) (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)))
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))) (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)) in beta
* [misc]backup-simplify:  Simplify (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)) into (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0))
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))) (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0))) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))) (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)))
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))) (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)) in alpha
* [misc]backup-simplify:  Simplify (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)) into (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0))
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))) (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0))) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))) (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)))
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))) (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0))) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))) (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)))
* [misc]backup-simplify:  Simplify (- (/ 0 (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0))) (+ (* (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))) (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0))) (/ 0 (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0))) (+ (* (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))) (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0))) (/ 0 (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0))) (+ (* (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))) (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0))) (/ 0 (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0))) (+ (* (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))) (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0))) (/ 0 (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)))) (* 0 (/ 0 (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0))) (+ (* (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))) (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0))) (/ 0 (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)))) (* 0 (/ 0 (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))) (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0))) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))) (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)))
* [misc]approximate:  Taking taylor expansion of (/ (fma (/ 1 (/ 1 i)) (+ (/ 1 (/ 1 i)) (+ (/ 1 (/ 1 beta)) (/ 1 (/ 1 alpha)))) (/ 1 (* (/ 1 beta) (/ 1 alpha)))) (fma (fma (/ 1 (/ 1 i)) 2 (/ 1 (/ 1 alpha))) (fma (/ 1 (/ 1 beta)) 2 (fma (/ 1 (/ 1 i)) 2 (/ 1 (/ 1 alpha)))) (- (/ 1 (* (/ 1 beta) (/ 1 beta))) 1.0))) in (i beta alpha) around 0
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 (/ 1 i)) (+ (/ 1 (/ 1 i)) (+ (/ 1 (/ 1 beta)) (/ 1 (/ 1 alpha)))) (/ 1 (* (/ 1 beta) (/ 1 alpha)))) (fma (fma (/ 1 (/ 1 i)) 2 (/ 1 (/ 1 alpha))) (fma (/ 1 (/ 1 beta)) 2 (fma (/ 1 (/ 1 i)) 2 (/ 1 (/ 1 alpha)))) (- (/ 1 (* (/ 1 beta) (/ 1 beta))) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (/ 1 i)) (+ (/ 1 (/ 1 i)) (+ (/ 1 (/ 1 beta)) (/ 1 (/ 1 alpha)))) (/ 1 (* (/ 1 beta) (/ 1 alpha)))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 (/ 1 i)) (+ (/ 1 (/ 1 i)) (+ (/ 1 (/ 1 beta)) (/ 1 (/ 1 alpha)))) (/ 1 (* (/ 1 beta) (/ 1 alpha)))) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (fma (fma (/ 1 (/ 1 i)) 2 (/ 1 (/ 1 alpha))) (fma (/ 1 (/ 1 beta)) 2 (fma (/ 1 (/ 1 i)) 2 (/ 1 (/ 1 alpha)))) (- (/ 1 (* (/ 1 beta) (/ 1 beta))) 1.0)) in alpha
* [misc]backup-simplify:  Simplify (fma (fma (/ 1 (/ 1 i)) 2 (/ 1 (/ 1 alpha))) (fma (/ 1 (/ 1 beta)) 2 (fma (/ 1 (/ 1 i)) 2 (/ 1 (/ 1 alpha)))) (- (/ 1 (* (/ 1 beta) (/ 1 beta))) 1.0)) into (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0))
* [misc]backup-simplify:  Simplify (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0))) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)))
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 (/ 1 i)) (+ (/ 1 (/ 1 i)) (+ (/ 1 (/ 1 beta)) (/ 1 (/ 1 alpha)))) (/ 1 (* (/ 1 beta) (/ 1 alpha)))) (fma (fma (/ 1 (/ 1 i)) 2 (/ 1 (/ 1 alpha))) (fma (/ 1 (/ 1 beta)) 2 (fma (/ 1 (/ 1 i)) 2 (/ 1 (/ 1 alpha)))) (- (/ 1 (* (/ 1 beta) (/ 1 beta))) 1.0))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (/ 1 i)) (+ (/ 1 (/ 1 i)) (+ (/ 1 (/ 1 beta)) (/ 1 (/ 1 alpha)))) (/ 1 (* (/ 1 beta) (/ 1 alpha)))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (/ 1 i)) (+ (/ 1 (/ 1 i)) (+ (/ 1 (/ 1 beta)) (/ 1 (/ 1 alpha)))) (/ 1 (* (/ 1 beta) (/ 1 alpha)))) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (fma (fma (/ 1 (/ 1 i)) 2 (/ 1 (/ 1 alpha))) (fma (/ 1 (/ 1 beta)) 2 (fma (/ 1 (/ 1 i)) 2 (/ 1 (/ 1 alpha)))) (- (/ 1 (* (/ 1 beta) (/ 1 beta))) 1.0)) in beta
* [misc]backup-simplify:  Simplify (fma (fma (/ 1 (/ 1 i)) 2 (/ 1 (/ 1 alpha))) (fma (/ 1 (/ 1 beta)) 2 (fma (/ 1 (/ 1 i)) 2 (/ 1 (/ 1 alpha)))) (- (/ 1 (* (/ 1 beta) (/ 1 beta))) 1.0)) into (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0))
* [misc]backup-simplify:  Simplify (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0))) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)))
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 (/ 1 i)) (+ (/ 1 (/ 1 i)) (+ (/ 1 (/ 1 beta)) (/ 1 (/ 1 alpha)))) (/ 1 (* (/ 1 beta) (/ 1 alpha)))) (fma (fma (/ 1 (/ 1 i)) 2 (/ 1 (/ 1 alpha))) (fma (/ 1 (/ 1 beta)) 2 (fma (/ 1 (/ 1 i)) 2 (/ 1 (/ 1 alpha)))) (- (/ 1 (* (/ 1 beta) (/ 1 beta))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (/ 1 i)) (+ (/ 1 (/ 1 i)) (+ (/ 1 (/ 1 beta)) (/ 1 (/ 1 alpha)))) (/ 1 (* (/ 1 beta) (/ 1 alpha)))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 (/ 1 i)) (+ (/ 1 (/ 1 i)) (+ (/ 1 (/ 1 beta)) (/ 1 (/ 1 alpha)))) (/ 1 (* (/ 1 beta) (/ 1 alpha)))) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (fma (fma (/ 1 (/ 1 i)) 2 (/ 1 (/ 1 alpha))) (fma (/ 1 (/ 1 beta)) 2 (fma (/ 1 (/ 1 i)) 2 (/ 1 (/ 1 alpha)))) (- (/ 1 (* (/ 1 beta) (/ 1 beta))) 1.0)) in i
* [misc]backup-simplify:  Simplify (fma (fma (/ 1 (/ 1 i)) 2 (/ 1 (/ 1 alpha))) (fma (/ 1 (/ 1 beta)) 2 (fma (/ 1 (/ 1 i)) 2 (/ 1 (/ 1 alpha)))) (- (/ 1 (* (/ 1 beta) (/ 1 beta))) 1.0)) into (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0))
* [misc]backup-simplify:  Simplify (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0))) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)))
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 (/ 1 i)) (+ (/ 1 (/ 1 i)) (+ (/ 1 (/ 1 beta)) (/ 1 (/ 1 alpha)))) (/ 1 (* (/ 1 beta) (/ 1 alpha)))) (fma (fma (/ 1 (/ 1 i)) 2 (/ 1 (/ 1 alpha))) (fma (/ 1 (/ 1 beta)) 2 (fma (/ 1 (/ 1 i)) 2 (/ 1 (/ 1 alpha)))) (- (/ 1 (* (/ 1 beta) (/ 1 beta))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (/ 1 i)) (+ (/ 1 (/ 1 i)) (+ (/ 1 (/ 1 beta)) (/ 1 (/ 1 alpha)))) (/ 1 (* (/ 1 beta) (/ 1 alpha)))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 (/ 1 i)) (+ (/ 1 (/ 1 i)) (+ (/ 1 (/ 1 beta)) (/ 1 (/ 1 alpha)))) (/ 1 (* (/ 1 beta) (/ 1 alpha)))) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (fma (fma (/ 1 (/ 1 i)) 2 (/ 1 (/ 1 alpha))) (fma (/ 1 (/ 1 beta)) 2 (fma (/ 1 (/ 1 i)) 2 (/ 1 (/ 1 alpha)))) (- (/ 1 (* (/ 1 beta) (/ 1 beta))) 1.0)) in i
* [misc]backup-simplify:  Simplify (fma (fma (/ 1 (/ 1 i)) 2 (/ 1 (/ 1 alpha))) (fma (/ 1 (/ 1 beta)) 2 (fma (/ 1 (/ 1 i)) 2 (/ 1 (/ 1 alpha)))) (- (/ 1 (* (/ 1 beta) (/ 1 beta))) 1.0)) into (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0))
* [misc]backup-simplify:  Simplify (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0))) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)))
* [misc]taylor:  Taking taylor expansion of (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0))) in beta
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in beta
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) in beta
* [misc]backup-simplify:  Simplify (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) into (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0))
* [misc]backup-simplify:  Simplify (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0))) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)))
* [misc]taylor:  Taking taylor expansion of (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) in alpha
* [misc]backup-simplify:  Simplify (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) into (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0))
* [misc]backup-simplify:  Simplify (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0))) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)))
* [misc]backup-simplify:  Simplify (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0))) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)))
* [misc]backup-simplify:  Simplify (- (/ 0 (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0))) (+ (* (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0))) (/ 0 (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0))) (+ (* (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0))) (/ 0 (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0))) (+ (* (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0))) (/ 0 (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0))) (+ (* (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0))) (/ 0 (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)))) (* 0 (/ 0 (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0))) (+ (* (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0))) (/ 0 (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)))) (* 0 (/ 0 (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0))) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)))
* [misc]approximate:  Taking taylor expansion of (/ (fma (/ 1 (/ 1 (- i))) (+ (/ 1 (/ 1 (- i))) (+ (/ 1 (/ 1 (- beta))) (/ 1 (/ 1 (- alpha))))) (/ 1 (* (/ 1 (- beta)) (/ 1 (- alpha))))) (fma (fma (/ 1 (/ 1 (- i))) 2 (/ 1 (/ 1 (- alpha)))) (fma (/ 1 (/ 1 (- beta))) 2 (fma (/ 1 (/ 1 (- i))) 2 (/ 1 (/ 1 (- alpha))))) (- (/ 1 (* (/ 1 (- beta)) (/ 1 (- beta)))) 1.0))) in (i beta alpha) around 0
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 (/ 1 (- i))) (+ (/ 1 (/ 1 (- i))) (+ (/ 1 (/ 1 (- beta))) (/ 1 (/ 1 (- alpha))))) (/ 1 (* (/ 1 (- beta)) (/ 1 (- alpha))))) (fma (fma (/ 1 (/ 1 (- i))) 2 (/ 1 (/ 1 (- alpha)))) (fma (/ 1 (/ 1 (- beta))) 2 (fma (/ 1 (/ 1 (- i))) 2 (/ 1 (/ 1 (- alpha))))) (- (/ 1 (* (/ 1 (- beta)) (/ 1 (- beta)))) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (/ 1 (- i))) (+ (/ 1 (/ 1 (- i))) (+ (/ 1 (/ 1 (- beta))) (/ 1 (/ 1 (- alpha))))) (/ 1 (* (/ 1 (- beta)) (/ 1 (- alpha))))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 (/ 1 (- i))) (+ (/ 1 (/ 1 (- i))) (+ (/ 1 (/ 1 (- beta))) (/ 1 (/ 1 (- alpha))))) (/ 1 (* (/ 1 (- beta)) (/ 1 (- alpha))))) into (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (fma (fma (/ 1 (/ 1 (- i))) 2 (/ 1 (/ 1 (- alpha)))) (fma (/ 1 (/ 1 (- beta))) 2 (fma (/ 1 (/ 1 (- i))) 2 (/ 1 (/ 1 (- alpha))))) (- (/ 1 (* (/ 1 (- beta)) (/ 1 (- beta)))) 1.0)) in alpha
* [misc]backup-simplify:  Simplify (fma (fma (/ 1 (/ 1 (- i))) 2 (/ 1 (/ 1 (- alpha)))) (fma (/ 1 (/ 1 (- beta))) 2 (fma (/ 1 (/ 1 (- i))) 2 (/ 1 (/ 1 (- alpha))))) (- (/ 1 (* (/ 1 (- beta)) (/ 1 (- beta)))) 1.0)) into (fma (fma (* -1 i) 2 (* -1 alpha)) (fma (* -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (- (sqr beta) 1.0))
* [misc]backup-simplify:  Simplify (/ (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) (fma (fma (* -1 i) 2 (* -1 alpha)) (fma (* -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (- (sqr beta) 1.0))) into (/ (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) (fma (fma (* -1 i) 2 (* -1 alpha)) (fma (* -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (- (sqr beta) 1.0)))
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 (/ 1 (- i))) (+ (/ 1 (/ 1 (- i))) (+ (/ 1 (/ 1 (- beta))) (/ 1 (/ 1 (- alpha))))) (/ 1 (* (/ 1 (- beta)) (/ 1 (- alpha))))) (fma (fma (/ 1 (/ 1 (- i))) 2 (/ 1 (/ 1 (- alpha)))) (fma (/ 1 (/ 1 (- beta))) 2 (fma (/ 1 (/ 1 (- i))) 2 (/ 1 (/ 1 (- alpha))))) (- (/ 1 (* (/ 1 (- beta)) (/ 1 (- beta)))) 1.0))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (/ 1 (- i))) (+ (/ 1 (/ 1 (- i))) (+ (/ 1 (/ 1 (- beta))) (/ 1 (/ 1 (- alpha))))) (/ 1 (* (/ 1 (- beta)) (/ 1 (- alpha))))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (/ 1 (- i))) (+ (/ 1 (/ 1 (- i))) (+ (/ 1 (/ 1 (- beta))) (/ 1 (/ 1 (- alpha))))) (/ 1 (* (/ 1 (- beta)) (/ 1 (- alpha))))) into (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (fma (fma (/ 1 (/ 1 (- i))) 2 (/ 1 (/ 1 (- alpha)))) (fma (/ 1 (/ 1 (- beta))) 2 (fma (/ 1 (/ 1 (- i))) 2 (/ 1 (/ 1 (- alpha))))) (- (/ 1 (* (/ 1 (- beta)) (/ 1 (- beta)))) 1.0)) in beta
* [misc]backup-simplify:  Simplify (fma (fma (/ 1 (/ 1 (- i))) 2 (/ 1 (/ 1 (- alpha)))) (fma (/ 1 (/ 1 (- beta))) 2 (fma (/ 1 (/ 1 (- i))) 2 (/ 1 (/ 1 (- alpha))))) (- (/ 1 (* (/ 1 (- beta)) (/ 1 (- beta)))) 1.0)) into (fma (fma (* -1 i) 2 (* -1 alpha)) (fma (* -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (- (sqr beta) 1.0))
* [misc]backup-simplify:  Simplify (/ (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) (fma (fma (* -1 i) 2 (* -1 alpha)) (fma (* -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (- (sqr beta) 1.0))) into (/ (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) (fma (fma (* -1 i) 2 (* -1 alpha)) (fma (* -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (- (sqr beta) 1.0)))
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 (/ 1 (- i))) (+ (/ 1 (/ 1 (- i))) (+ (/ 1 (/ 1 (- beta))) (/ 1 (/ 1 (- alpha))))) (/ 1 (* (/ 1 (- beta)) (/ 1 (- alpha))))) (fma (fma (/ 1 (/ 1 (- i))) 2 (/ 1 (/ 1 (- alpha)))) (fma (/ 1 (/ 1 (- beta))) 2 (fma (/ 1 (/ 1 (- i))) 2 (/ 1 (/ 1 (- alpha))))) (- (/ 1 (* (/ 1 (- beta)) (/ 1 (- beta)))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (/ 1 (- i))) (+ (/ 1 (/ 1 (- i))) (+ (/ 1 (/ 1 (- beta))) (/ 1 (/ 1 (- alpha))))) (/ 1 (* (/ 1 (- beta)) (/ 1 (- alpha))))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 (/ 1 (- i))) (+ (/ 1 (/ 1 (- i))) (+ (/ 1 (/ 1 (- beta))) (/ 1 (/ 1 (- alpha))))) (/ 1 (* (/ 1 (- beta)) (/ 1 (- alpha))))) into (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (fma (fma (/ 1 (/ 1 (- i))) 2 (/ 1 (/ 1 (- alpha)))) (fma (/ 1 (/ 1 (- beta))) 2 (fma (/ 1 (/ 1 (- i))) 2 (/ 1 (/ 1 (- alpha))))) (- (/ 1 (* (/ 1 (- beta)) (/ 1 (- beta)))) 1.0)) in i
* [misc]backup-simplify:  Simplify (fma (fma (/ 1 (/ 1 (- i))) 2 (/ 1 (/ 1 (- alpha)))) (fma (/ 1 (/ 1 (- beta))) 2 (fma (/ 1 (/ 1 (- i))) 2 (/ 1 (/ 1 (- alpha))))) (- (/ 1 (* (/ 1 (- beta)) (/ 1 (- beta)))) 1.0)) into (fma (fma (* -1 i) 2 (* -1 alpha)) (fma (* -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (- (sqr beta) 1.0))
* [misc]backup-simplify:  Simplify (/ (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) (fma (fma (* -1 i) 2 (* -1 alpha)) (fma (* -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (- (sqr beta) 1.0))) into (/ (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) (fma (fma (* -1 i) 2 (* -1 alpha)) (fma (* -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (- (sqr beta) 1.0)))
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 (/ 1 (- i))) (+ (/ 1 (/ 1 (- i))) (+ (/ 1 (/ 1 (- beta))) (/ 1 (/ 1 (- alpha))))) (/ 1 (* (/ 1 (- beta)) (/ 1 (- alpha))))) (fma (fma (/ 1 (/ 1 (- i))) 2 (/ 1 (/ 1 (- alpha)))) (fma (/ 1 (/ 1 (- beta))) 2 (fma (/ 1 (/ 1 (- i))) 2 (/ 1 (/ 1 (- alpha))))) (- (/ 1 (* (/ 1 (- beta)) (/ 1 (- beta)))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (/ 1 (- i))) (+ (/ 1 (/ 1 (- i))) (+ (/ 1 (/ 1 (- beta))) (/ 1 (/ 1 (- alpha))))) (/ 1 (* (/ 1 (- beta)) (/ 1 (- alpha))))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 (/ 1 (- i))) (+ (/ 1 (/ 1 (- i))) (+ (/ 1 (/ 1 (- beta))) (/ 1 (/ 1 (- alpha))))) (/ 1 (* (/ 1 (- beta)) (/ 1 (- alpha))))) into (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (fma (fma (/ 1 (/ 1 (- i))) 2 (/ 1 (/ 1 (- alpha)))) (fma (/ 1 (/ 1 (- beta))) 2 (fma (/ 1 (/ 1 (- i))) 2 (/ 1 (/ 1 (- alpha))))) (- (/ 1 (* (/ 1 (- beta)) (/ 1 (- beta)))) 1.0)) in i
* [misc]backup-simplify:  Simplify (fma (fma (/ 1 (/ 1 (- i))) 2 (/ 1 (/ 1 (- alpha)))) (fma (/ 1 (/ 1 (- beta))) 2 (fma (/ 1 (/ 1 (- i))) 2 (/ 1 (/ 1 (- alpha))))) (- (/ 1 (* (/ 1 (- beta)) (/ 1 (- beta)))) 1.0)) into (fma (fma (* -1 i) 2 (* -1 alpha)) (fma (* -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (- (sqr beta) 1.0))
* [misc]backup-simplify:  Simplify (/ (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) (fma (fma (* -1 i) 2 (* -1 alpha)) (fma (* -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (- (sqr beta) 1.0))) into (/ (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) (fma (fma (* -1 i) 2 (* -1 alpha)) (fma (* -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (- (sqr beta) 1.0)))
* [misc]taylor:  Taking taylor expansion of (/ (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) (fma (fma (* -1 i) 2 (* -1 alpha)) (fma (* -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (- (sqr beta) 1.0))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) in beta
* [misc]backup-simplify:  Simplify (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) into (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (fma (fma (* -1 i) 2 (* -1 alpha)) (fma (* -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (- (sqr beta) 1.0)) in beta
* [misc]backup-simplify:  Simplify (fma (fma (* -1 i) 2 (* -1 alpha)) (fma (* -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (- (sqr beta) 1.0)) into (fma (fma (* -1 i) 2 (* -1 alpha)) (fma (* -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (- (sqr beta) 1.0))
* [misc]backup-simplify:  Simplify (/ (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) (fma (fma (* -1 i) 2 (* -1 alpha)) (fma (* -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (- (sqr beta) 1.0))) into (/ (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) (fma (fma (* -1 i) 2 (* -1 alpha)) (fma (* -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (- (sqr beta) 1.0)))
* [misc]taylor:  Taking taylor expansion of (/ (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) (fma (fma (* -1 i) 2 (* -1 alpha)) (fma (* -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (- (sqr beta) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) into (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (fma (fma (* -1 i) 2 (* -1 alpha)) (fma (* -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (- (sqr beta) 1.0)) in alpha
* [misc]backup-simplify:  Simplify (fma (fma (* -1 i) 2 (* -1 alpha)) (fma (* -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (- (sqr beta) 1.0)) into (fma (fma (* -1 i) 2 (* -1 alpha)) (fma (* -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (- (sqr beta) 1.0))
* [misc]backup-simplify:  Simplify (/ (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) (fma (fma (* -1 i) 2 (* -1 alpha)) (fma (* -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (- (sqr beta) 1.0))) into (/ (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) (fma (fma (* -1 i) 2 (* -1 alpha)) (fma (* -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (- (sqr beta) 1.0)))
* [misc]backup-simplify:  Simplify (/ (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) (fma (fma (* -1 i) 2 (* -1 alpha)) (fma (* -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (- (sqr beta) 1.0))) into (/ (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) (fma (fma (* -1 i) 2 (* -1 alpha)) (fma (* -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (- (sqr beta) 1.0)))
* [misc]backup-simplify:  Simplify (- (/ 0 (fma (fma (* -1 i) 2 (* -1 alpha)) (fma (* -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (- (sqr beta) 1.0))) (+ (* (/ (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) (fma (fma (* -1 i) 2 (* -1 alpha)) (fma (* -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (- (sqr beta) 1.0))) (/ 0 (fma (fma (* -1 i) 2 (* -1 alpha)) (fma (* -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (- (sqr beta) 1.0)))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (fma (fma (* -1 i) 2 (* -1 alpha)) (fma (* -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (- (sqr beta) 1.0))) (+ (* (/ (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) (fma (fma (* -1 i) 2 (* -1 alpha)) (fma (* -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (- (sqr beta) 1.0))) (/ 0 (fma (fma (* -1 i) 2 (* -1 alpha)) (fma (* -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (- (sqr beta) 1.0)))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (fma (fma (* -1 i) 2 (* -1 alpha)) (fma (* -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (- (sqr beta) 1.0))) (+ (* (/ (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) (fma (fma (* -1 i) 2 (* -1 alpha)) (fma (* -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (- (sqr beta) 1.0))) (/ 0 (fma (fma (* -1 i) 2 (* -1 alpha)) (fma (* -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (- (sqr beta) 1.0)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (fma (fma (* -1 i) 2 (* -1 alpha)) (fma (* -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (- (sqr beta) 1.0))) (+ (* (/ (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) (fma (fma (* -1 i) 2 (* -1 alpha)) (fma (* -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (- (sqr beta) 1.0))) (/ 0 (fma (fma (* -1 i) 2 (* -1 alpha)) (fma (* -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (- (sqr beta) 1.0)))) (* 0 (/ 0 (fma (fma (* -1 i) 2 (* -1 alpha)) (fma (* -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (- (sqr beta) 1.0)))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (fma (fma (* -1 i) 2 (* -1 alpha)) (fma (* -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (- (sqr beta) 1.0))) (+ (* (/ (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) (fma (fma (* -1 i) 2 (* -1 alpha)) (fma (* -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (- (sqr beta) 1.0))) (/ 0 (fma (fma (* -1 i) 2 (* -1 alpha)) (fma (* -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (- (sqr beta) 1.0)))) (* 0 (/ 0 (fma (fma (* -1 i) 2 (* -1 alpha)) (fma (* -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (- (sqr beta) 1.0)))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) (fma (fma (* -1 i) 2 (* -1 alpha)) (fma (* -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (- (sqr beta) 1.0))) into (/ (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) (fma (fma (* -1 i) 2 (* -1 alpha)) (fma (* -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (- (sqr beta) 1.0)))
* [misc]approximate:  Taking taylor expansion of (* (/ (fma (/ 1 i) (+ (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (* beta beta)) 1.0))) (+ (/ i beta) (* (/ i beta) (+ (/ alpha beta) (/ i beta))))) in (i beta alpha) around 0
* [misc]taylor:  Taking taylor expansion of (* (/ (fma (/ 1 i) (+ (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (* beta beta)) 1.0))) (+ (/ i beta) (* (/ i beta) (+ (/ alpha beta) (/ i beta))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) (+ (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (* beta beta)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (* beta beta)) 1.0)) in alpha
* [misc]backup-simplify:  Simplify (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (* beta beta)) 1.0)) into (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0))
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))) (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0))) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))) (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)))
* [misc]taylor:  Taking taylor expansion of (+ (/ i beta) (* (/ i beta) (+ (/ alpha beta) (/ i beta)))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ i beta) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ i beta) into (/ i beta)
* [misc]taylor:  Taking taylor expansion of (* (/ i beta) (+ (/ alpha beta) (/ i beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ i beta) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ i beta) into (/ i beta)
* [misc]taylor:  Taking taylor expansion of (+ (/ alpha beta) (/ i beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (/ alpha beta) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (/ i beta) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ i beta) into (/ i beta)
* [misc]taylor:  Taking taylor expansion of (* (/ (fma (/ 1 i) (+ (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (* beta beta)) 1.0))) (+ (/ i beta) (* (/ i beta) (+ (/ alpha beta) (/ i beta))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) (+ (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (* beta beta)) 1.0))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (/ 1 (* beta alpha))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (* beta beta)) 1.0)) in beta
* [misc]backup-simplify:  Simplify (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (* beta beta)) 1.0)) into (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0))
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))) (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0))) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))) (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)))
* [misc]taylor:  Taking taylor expansion of (+ (/ i beta) (* (/ i beta) (+ (/ alpha beta) (/ i beta)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ i beta) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ i 1) into i
* [misc]taylor:  Taking taylor expansion of (* (/ i beta) (+ (/ alpha beta) (/ i beta))) in beta
* [misc]taylor:  Taking taylor expansion of (/ i beta) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ i 1) into i
* [misc]taylor:  Taking taylor expansion of (+ (/ alpha beta) (/ i beta)) in beta
* [misc]taylor:  Taking taylor expansion of (/ alpha beta) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ alpha 1) into alpha
* [misc]taylor:  Taking taylor expansion of (/ i beta) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ i 1) into i
* [misc]taylor:  Taking taylor expansion of (* (/ (fma (/ 1 i) (+ (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (* beta beta)) 1.0))) (+ (/ i beta) (* (/ i beta) (+ (/ alpha beta) (/ i beta))))) in i
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) (+ (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (* beta beta)) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (* beta beta)) 1.0)) in i
* [misc]backup-simplify:  Simplify (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (* beta beta)) 1.0)) into (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0))
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))) (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0))) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))) (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)))
* [misc]taylor:  Taking taylor expansion of (+ (/ i beta) (* (/ i beta) (+ (/ alpha beta) (/ i beta)))) in i
* [misc]taylor:  Taking taylor expansion of (/ i beta) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (* (/ i beta) (+ (/ alpha beta) (/ i beta))) in i
* [misc]taylor:  Taking taylor expansion of (/ i beta) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (+ (/ alpha beta) (/ i beta)) in i
* [misc]taylor:  Taking taylor expansion of (/ alpha beta) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ alpha beta) into (/ alpha beta)
* [misc]taylor:  Taking taylor expansion of (/ i beta) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (* (/ (fma (/ 1 i) (+ (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (* beta beta)) 1.0))) (+ (/ i beta) (* (/ i beta) (+ (/ alpha beta) (/ i beta))))) in i
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) (+ (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (* beta beta)) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (* beta beta)) 1.0)) in i
* [misc]backup-simplify:  Simplify (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (* beta beta)) 1.0)) into (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0))
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))) (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0))) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))) (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)))
* [misc]taylor:  Taking taylor expansion of (+ (/ i beta) (* (/ i beta) (+ (/ alpha beta) (/ i beta)))) in i
* [misc]taylor:  Taking taylor expansion of (/ i beta) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (* (/ i beta) (+ (/ alpha beta) (/ i beta))) in i
* [misc]taylor:  Taking taylor expansion of (/ i beta) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (+ (/ alpha beta) (/ i beta)) in i
* [misc]taylor:  Taking taylor expansion of (/ alpha beta) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ alpha beta) into (/ alpha beta)
* [misc]taylor:  Taking taylor expansion of (/ i beta) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]backup-simplify:  Simplify (+ (/ alpha beta) 0) into (/ alpha beta)
* [misc]backup-simplify:  Simplify (* (/ 1 beta) (/ alpha beta)) into (/ alpha (sqr beta))
* [misc]backup-simplify:  Simplify (+ (/ 1 beta) (/ alpha (sqr beta))) into (+ (/ 1 beta) (/ alpha (sqr beta)))
* [misc]backup-simplify:  Simplify (* (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))) (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0))) (+ (/ 1 beta) (/ alpha (sqr beta)))) into (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (/ alpha (sqr beta)))) (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)))
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (/ alpha (sqr beta)))) (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0))) in beta
* [misc]taylor:  Taking taylor expansion of (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (/ alpha (sqr beta)))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (/ alpha (sqr beta))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ alpha (sqr beta)) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of (sqr beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (/ alpha 1) into alpha
* [misc]taylor:  Taking taylor expansion of (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)) in beta
* [misc]backup-simplify:  Simplify (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)) into (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0))
* [misc]backup-simplify:  Simplify (+ 0 alpha) into alpha
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))) alpha) into (* alpha (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (/ (* alpha (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha)))) (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0))) into (/ (* alpha (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha)))) (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)))
* [misc]taylor:  Taking taylor expansion of (/ (* alpha (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha)))) (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (* alpha (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)) in alpha
* [misc]backup-simplify:  Simplify (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)) into (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0))
* [misc]backup-simplify:  Simplify (* 0 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))) (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0))) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))) (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)))
* [misc]backup-simplify:  Simplify (- (/ 0 beta) (+ (* (/ 1 beta) (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 beta) (+ (* (/ alpha beta) (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 beta)) into (/ 1 beta)
* [misc]backup-simplify:  Simplify (- (/ 0 beta) (+ (* (/ 1 beta) (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 beta) (/ 1 beta)) (* 0 (/ alpha beta))) into (/ 1 (sqr beta))
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 (sqr beta))) into (/ 1 (sqr beta))
* [misc]backup-simplify:  Simplify (- (/ 0 (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0))) (+ (* (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))) (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0))) (/ 0 (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))) (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0))) (/ 1 (sqr beta))) (* 0 (+ (/ 1 beta) (/ alpha (sqr beta))))) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))) (* (sqr beta) (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0))))
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))) (* (sqr beta) (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (* (sqr beta) (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0))) in beta
* [misc]taylor:  Taking taylor expansion of (sqr beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)) in beta
* [misc]backup-simplify:  Simplify (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)) into (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0))
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* 0 (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 0 (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 0 0) (* 1 (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0))))) into (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0))
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))) (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0))) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))) (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)))
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))) (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)) in alpha
* [misc]backup-simplify:  Simplify (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)) into (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0))
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))) (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0))) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))) (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)))
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))) (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0))) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))) (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)))
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* alpha (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))) 1) (* 0 alpha)) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (- (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))) (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0))) (+ (* (/ (* alpha (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha)))) (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0))) (/ 0 (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)))))) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))) (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)))
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))) (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)) in alpha
* [misc]backup-simplify:  Simplify (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)) into (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0))
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))) (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0))) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))) (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)))
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))) (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0))) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))) (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)))
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))) (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0))) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))) (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)))
* [misc]backup-simplify:  Simplify (+ (* (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))) (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0))) (* alpha (* (/ 1 (sqr beta)) i))) (+ (* (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))) (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0))) (* 1 (* (/ 1 beta) i))) (* (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))) (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0))) (sqr (* 1 (* (/ 1 beta) i)))))) into (+ (/ (* i (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha)))) (* beta (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)))) (+ (/ (* (sqr i) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha)))) (* (sqr beta) (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)))) (/ (* alpha (* i (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))))) (* (sqr beta) (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0))))))
* [misc]approximate:  Taking taylor expansion of (* (/ (fma (/ 1 (/ 1 i)) (+ (/ 1 (/ 1 i)) (+ (/ 1 (/ 1 beta)) (/ 1 (/ 1 alpha)))) (/ 1 (* (/ 1 beta) (/ 1 alpha)))) (fma (fma (/ 1 (/ 1 i)) 2 (/ 1 (/ 1 alpha))) (fma (/ 1 (/ 1 beta)) 2 (fma (/ 1 (/ 1 i)) 2 (/ 1 (/ 1 alpha)))) (- (/ 1 (* (/ 1 beta) (/ 1 beta))) 1.0))) (+ (/ (/ 1 i) (/ 1 beta)) (* (/ (/ 1 i) (/ 1 beta)) (+ (/ (/ 1 alpha) (/ 1 beta)) (/ (/ 1 i) (/ 1 beta)))))) in (i beta alpha) around 0
* [misc]taylor:  Taking taylor expansion of (* (/ (fma (/ 1 (/ 1 i)) (+ (/ 1 (/ 1 i)) (+ (/ 1 (/ 1 beta)) (/ 1 (/ 1 alpha)))) (/ 1 (* (/ 1 beta) (/ 1 alpha)))) (fma (fma (/ 1 (/ 1 i)) 2 (/ 1 (/ 1 alpha))) (fma (/ 1 (/ 1 beta)) 2 (fma (/ 1 (/ 1 i)) 2 (/ 1 (/ 1 alpha)))) (- (/ 1 (* (/ 1 beta) (/ 1 beta))) 1.0))) (+ (/ (/ 1 i) (/ 1 beta)) (* (/ (/ 1 i) (/ 1 beta)) (+ (/ (/ 1 alpha) (/ 1 beta)) (/ (/ 1 i) (/ 1 beta)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 (/ 1 i)) (+ (/ 1 (/ 1 i)) (+ (/ 1 (/ 1 beta)) (/ 1 (/ 1 alpha)))) (/ 1 (* (/ 1 beta) (/ 1 alpha)))) (fma (fma (/ 1 (/ 1 i)) 2 (/ 1 (/ 1 alpha))) (fma (/ 1 (/ 1 beta)) 2 (fma (/ 1 (/ 1 i)) 2 (/ 1 (/ 1 alpha)))) (- (/ 1 (* (/ 1 beta) (/ 1 beta))) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (/ 1 i)) (+ (/ 1 (/ 1 i)) (+ (/ 1 (/ 1 beta)) (/ 1 (/ 1 alpha)))) (/ 1 (* (/ 1 beta) (/ 1 alpha)))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 (/ 1 i)) (+ (/ 1 (/ 1 i)) (+ (/ 1 (/ 1 beta)) (/ 1 (/ 1 alpha)))) (/ 1 (* (/ 1 beta) (/ 1 alpha)))) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (fma (fma (/ 1 (/ 1 i)) 2 (/ 1 (/ 1 alpha))) (fma (/ 1 (/ 1 beta)) 2 (fma (/ 1 (/ 1 i)) 2 (/ 1 (/ 1 alpha)))) (- (/ 1 (* (/ 1 beta) (/ 1 beta))) 1.0)) in alpha
* [misc]backup-simplify:  Simplify (fma (fma (/ 1 (/ 1 i)) 2 (/ 1 (/ 1 alpha))) (fma (/ 1 (/ 1 beta)) 2 (fma (/ 1 (/ 1 i)) 2 (/ 1 (/ 1 alpha)))) (- (/ 1 (* (/ 1 beta) (/ 1 beta))) 1.0)) into (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0))
* [misc]backup-simplify:  Simplify (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0))) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)))
* [misc]taylor:  Taking taylor expansion of (+ (/ (/ 1 i) (/ 1 beta)) (* (/ (/ 1 i) (/ 1 beta)) (+ (/ (/ 1 alpha) (/ 1 beta)) (/ (/ 1 i) (/ 1 beta))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 i) (/ 1 beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]backup-simplify:  Simplify (/ (/ 1 i) (/ 1 beta)) into (/ beta i)
* [misc]taylor:  Taking taylor expansion of (* (/ (/ 1 i) (/ 1 beta)) (+ (/ (/ 1 alpha) (/ 1 beta)) (/ (/ 1 i) (/ 1 beta)))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 i) (/ 1 beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]backup-simplify:  Simplify (/ (/ 1 i) (/ 1 beta)) into (/ beta i)
* [misc]taylor:  Taking taylor expansion of (+ (/ (/ 1 alpha) (/ 1 beta)) (/ (/ 1 i) (/ 1 beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 alpha) (/ 1 beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]backup-simplify:  Simplify (/ 1 (/ 1 beta)) into beta
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 i) (/ 1 beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]backup-simplify:  Simplify (/ (/ 1 i) (/ 1 beta)) into (/ beta i)
* [misc]taylor:  Taking taylor expansion of (* (/ (fma (/ 1 (/ 1 i)) (+ (/ 1 (/ 1 i)) (+ (/ 1 (/ 1 beta)) (/ 1 (/ 1 alpha)))) (/ 1 (* (/ 1 beta) (/ 1 alpha)))) (fma (fma (/ 1 (/ 1 i)) 2 (/ 1 (/ 1 alpha))) (fma (/ 1 (/ 1 beta)) 2 (fma (/ 1 (/ 1 i)) 2 (/ 1 (/ 1 alpha)))) (- (/ 1 (* (/ 1 beta) (/ 1 beta))) 1.0))) (+ (/ (/ 1 i) (/ 1 beta)) (* (/ (/ 1 i) (/ 1 beta)) (+ (/ (/ 1 alpha) (/ 1 beta)) (/ (/ 1 i) (/ 1 beta)))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 (/ 1 i)) (+ (/ 1 (/ 1 i)) (+ (/ 1 (/ 1 beta)) (/ 1 (/ 1 alpha)))) (/ 1 (* (/ 1 beta) (/ 1 alpha)))) (fma (fma (/ 1 (/ 1 i)) 2 (/ 1 (/ 1 alpha))) (fma (/ 1 (/ 1 beta)) 2 (fma (/ 1 (/ 1 i)) 2 (/ 1 (/ 1 alpha)))) (- (/ 1 (* (/ 1 beta) (/ 1 beta))) 1.0))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (/ 1 i)) (+ (/ 1 (/ 1 i)) (+ (/ 1 (/ 1 beta)) (/ 1 (/ 1 alpha)))) (/ 1 (* (/ 1 beta) (/ 1 alpha)))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (/ 1 i)) (+ (/ 1 (/ 1 i)) (+ (/ 1 (/ 1 beta)) (/ 1 (/ 1 alpha)))) (/ 1 (* (/ 1 beta) (/ 1 alpha)))) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (fma (fma (/ 1 (/ 1 i)) 2 (/ 1 (/ 1 alpha))) (fma (/ 1 (/ 1 beta)) 2 (fma (/ 1 (/ 1 i)) 2 (/ 1 (/ 1 alpha)))) (- (/ 1 (* (/ 1 beta) (/ 1 beta))) 1.0)) in beta
* [misc]backup-simplify:  Simplify (fma (fma (/ 1 (/ 1 i)) 2 (/ 1 (/ 1 alpha))) (fma (/ 1 (/ 1 beta)) 2 (fma (/ 1 (/ 1 i)) 2 (/ 1 (/ 1 alpha)))) (- (/ 1 (* (/ 1 beta) (/ 1 beta))) 1.0)) into (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0))
* [misc]backup-simplify:  Simplify (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0))) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)))
* [misc]taylor:  Taking taylor expansion of (+ (/ (/ 1 i) (/ 1 beta)) (* (/ (/ 1 i) (/ 1 beta)) (+ (/ (/ 1 alpha) (/ 1 beta)) (/ (/ 1 i) (/ 1 beta))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 i) (/ 1 beta)) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (/ (/ 1 i) 1) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (* (/ (/ 1 i) (/ 1 beta)) (+ (/ (/ 1 alpha) (/ 1 beta)) (/ (/ 1 i) (/ 1 beta)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 i) (/ 1 beta)) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (/ (/ 1 i) 1) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ (/ 1 alpha) (/ 1 beta)) (/ (/ 1 i) (/ 1 beta))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 alpha) (/ 1 beta)) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (/ (/ 1 alpha) 1) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 i) (/ 1 beta)) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (/ (/ 1 i) 1) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (* (/ (fma (/ 1 (/ 1 i)) (+ (/ 1 (/ 1 i)) (+ (/ 1 (/ 1 beta)) (/ 1 (/ 1 alpha)))) (/ 1 (* (/ 1 beta) (/ 1 alpha)))) (fma (fma (/ 1 (/ 1 i)) 2 (/ 1 (/ 1 alpha))) (fma (/ 1 (/ 1 beta)) 2 (fma (/ 1 (/ 1 i)) 2 (/ 1 (/ 1 alpha)))) (- (/ 1 (* (/ 1 beta) (/ 1 beta))) 1.0))) (+ (/ (/ 1 i) (/ 1 beta)) (* (/ (/ 1 i) (/ 1 beta)) (+ (/ (/ 1 alpha) (/ 1 beta)) (/ (/ 1 i) (/ 1 beta)))))) in i
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 (/ 1 i)) (+ (/ 1 (/ 1 i)) (+ (/ 1 (/ 1 beta)) (/ 1 (/ 1 alpha)))) (/ 1 (* (/ 1 beta) (/ 1 alpha)))) (fma (fma (/ 1 (/ 1 i)) 2 (/ 1 (/ 1 alpha))) (fma (/ 1 (/ 1 beta)) 2 (fma (/ 1 (/ 1 i)) 2 (/ 1 (/ 1 alpha)))) (- (/ 1 (* (/ 1 beta) (/ 1 beta))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (/ 1 i)) (+ (/ 1 (/ 1 i)) (+ (/ 1 (/ 1 beta)) (/ 1 (/ 1 alpha)))) (/ 1 (* (/ 1 beta) (/ 1 alpha)))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 (/ 1 i)) (+ (/ 1 (/ 1 i)) (+ (/ 1 (/ 1 beta)) (/ 1 (/ 1 alpha)))) (/ 1 (* (/ 1 beta) (/ 1 alpha)))) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (fma (fma (/ 1 (/ 1 i)) 2 (/ 1 (/ 1 alpha))) (fma (/ 1 (/ 1 beta)) 2 (fma (/ 1 (/ 1 i)) 2 (/ 1 (/ 1 alpha)))) (- (/ 1 (* (/ 1 beta) (/ 1 beta))) 1.0)) in i
* [misc]backup-simplify:  Simplify (fma (fma (/ 1 (/ 1 i)) 2 (/ 1 (/ 1 alpha))) (fma (/ 1 (/ 1 beta)) 2 (fma (/ 1 (/ 1 i)) 2 (/ 1 (/ 1 alpha)))) (- (/ 1 (* (/ 1 beta) (/ 1 beta))) 1.0)) into (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0))
* [misc]backup-simplify:  Simplify (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0))) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)))
* [misc]taylor:  Taking taylor expansion of (+ (/ (/ 1 i) (/ 1 beta)) (* (/ (/ 1 i) (/ 1 beta)) (+ (/ (/ 1 alpha) (/ 1 beta)) (/ (/ 1 i) (/ 1 beta))))) in i
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 i) (/ 1 beta)) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]backup-simplify:  Simplify (/ 1 (/ 1 beta)) into beta
* [misc]taylor:  Taking taylor expansion of (* (/ (/ 1 i) (/ 1 beta)) (+ (/ (/ 1 alpha) (/ 1 beta)) (/ (/ 1 i) (/ 1 beta)))) in i
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 i) (/ 1 beta)) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]backup-simplify:  Simplify (/ 1 (/ 1 beta)) into beta
* [misc]taylor:  Taking taylor expansion of (+ (/ (/ 1 alpha) (/ 1 beta)) (/ (/ 1 i) (/ 1 beta))) in i
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 alpha) (/ 1 beta)) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]backup-simplify:  Simplify (/ (/ 1 alpha) (/ 1 beta)) into (/ beta alpha)
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 i) (/ 1 beta)) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]backup-simplify:  Simplify (/ 1 (/ 1 beta)) into beta
* [misc]taylor:  Taking taylor expansion of (* (/ (fma (/ 1 (/ 1 i)) (+ (/ 1 (/ 1 i)) (+ (/ 1 (/ 1 beta)) (/ 1 (/ 1 alpha)))) (/ 1 (* (/ 1 beta) (/ 1 alpha)))) (fma (fma (/ 1 (/ 1 i)) 2 (/ 1 (/ 1 alpha))) (fma (/ 1 (/ 1 beta)) 2 (fma (/ 1 (/ 1 i)) 2 (/ 1 (/ 1 alpha)))) (- (/ 1 (* (/ 1 beta) (/ 1 beta))) 1.0))) (+ (/ (/ 1 i) (/ 1 beta)) (* (/ (/ 1 i) (/ 1 beta)) (+ (/ (/ 1 alpha) (/ 1 beta)) (/ (/ 1 i) (/ 1 beta)))))) in i
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 (/ 1 i)) (+ (/ 1 (/ 1 i)) (+ (/ 1 (/ 1 beta)) (/ 1 (/ 1 alpha)))) (/ 1 (* (/ 1 beta) (/ 1 alpha)))) (fma (fma (/ 1 (/ 1 i)) 2 (/ 1 (/ 1 alpha))) (fma (/ 1 (/ 1 beta)) 2 (fma (/ 1 (/ 1 i)) 2 (/ 1 (/ 1 alpha)))) (- (/ 1 (* (/ 1 beta) (/ 1 beta))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (/ 1 i)) (+ (/ 1 (/ 1 i)) (+ (/ 1 (/ 1 beta)) (/ 1 (/ 1 alpha)))) (/ 1 (* (/ 1 beta) (/ 1 alpha)))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 (/ 1 i)) (+ (/ 1 (/ 1 i)) (+ (/ 1 (/ 1 beta)) (/ 1 (/ 1 alpha)))) (/ 1 (* (/ 1 beta) (/ 1 alpha)))) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (fma (fma (/ 1 (/ 1 i)) 2 (/ 1 (/ 1 alpha))) (fma (/ 1 (/ 1 beta)) 2 (fma (/ 1 (/ 1 i)) 2 (/ 1 (/ 1 alpha)))) (- (/ 1 (* (/ 1 beta) (/ 1 beta))) 1.0)) in i
* [misc]backup-simplify:  Simplify (fma (fma (/ 1 (/ 1 i)) 2 (/ 1 (/ 1 alpha))) (fma (/ 1 (/ 1 beta)) 2 (fma (/ 1 (/ 1 i)) 2 (/ 1 (/ 1 alpha)))) (- (/ 1 (* (/ 1 beta) (/ 1 beta))) 1.0)) into (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0))
* [misc]backup-simplify:  Simplify (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0))) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)))
* [misc]taylor:  Taking taylor expansion of (+ (/ (/ 1 i) (/ 1 beta)) (* (/ (/ 1 i) (/ 1 beta)) (+ (/ (/ 1 alpha) (/ 1 beta)) (/ (/ 1 i) (/ 1 beta))))) in i
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 i) (/ 1 beta)) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]backup-simplify:  Simplify (/ 1 (/ 1 beta)) into beta
* [misc]taylor:  Taking taylor expansion of (* (/ (/ 1 i) (/ 1 beta)) (+ (/ (/ 1 alpha) (/ 1 beta)) (/ (/ 1 i) (/ 1 beta)))) in i
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 i) (/ 1 beta)) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]backup-simplify:  Simplify (/ 1 (/ 1 beta)) into beta
* [misc]taylor:  Taking taylor expansion of (+ (/ (/ 1 alpha) (/ 1 beta)) (/ (/ 1 i) (/ 1 beta))) in i
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 alpha) (/ 1 beta)) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]backup-simplify:  Simplify (/ (/ 1 alpha) (/ 1 beta)) into (/ beta alpha)
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 i) (/ 1 beta)) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]backup-simplify:  Simplify (/ 1 (/ 1 beta)) into beta
* [misc]backup-simplify:  Simplify (+ 0 beta) into beta
* [misc]backup-simplify:  Simplify (* beta beta) into (sqr beta)
* [misc]backup-simplify:  Simplify (+ 0 (sqr beta)) into (sqr beta)
* [misc]backup-simplify:  Simplify (* (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0))) (sqr beta)) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr beta)) (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)))
* [misc]taylor:  Taking taylor expansion of (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr beta)) (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0))) in beta
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr beta)) in beta
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in beta
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (sqr beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) in beta
* [misc]backup-simplify:  Simplify (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) into (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0))
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 1) (+ (* 0 0) (* 0 0))) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]backup-simplify:  Simplify (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0))) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (/ 1 beta)) (+ (* beta (/ 0 (/ 1 beta))))) into 0
* [misc]backup-simplify:  Simplify (+ (/ beta alpha) 0) into (/ beta alpha)
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (/ 1 beta)) (+ (* beta (/ 0 (/ 1 beta))))) into 0
* [misc]backup-simplify:  Simplify (+ (* beta (/ beta alpha)) (* 0 beta)) into (/ (sqr beta) alpha)
* [misc]backup-simplify:  Simplify (+ beta (/ (sqr beta) alpha)) into (+ beta (/ (sqr beta) alpha))
* [misc]backup-simplify:  Simplify (- (/ 0 (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0))) (+ (* (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0))) (/ 0 (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0))) (+ beta (/ (sqr beta) alpha))) (* 0 (sqr beta))) into (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr beta)) (* alpha (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)))) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) beta) (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0))))
* [misc]taylor:  Taking taylor expansion of (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr beta)) (* alpha (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)))) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) beta) (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr beta)) (* alpha (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)))) in beta
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr beta)) in beta
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in beta
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (sqr beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* alpha (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0))) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) in beta
* [misc]backup-simplify:  Simplify (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) into (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0))
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 1) (+ (* 0 0) (* 0 0))) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]backup-simplify:  Simplify (* alpha (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0))) into (* alpha (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)))
* [misc]backup-simplify:  Simplify (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)))) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0))))
* [misc]taylor:  Taking taylor expansion of (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) beta) (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0))) in beta
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) beta) in beta
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in beta
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) in beta
* [misc]backup-simplify:  Simplify (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) into (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0))
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 1) (* 0 0)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]backup-simplify:  Simplify (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0))) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)))
* [misc]backup-simplify:  Simplify (+ 0 (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)))) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)))
* [misc]taylor:  Taking taylor expansion of (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) in alpha
* [misc]backup-simplify:  Simplify (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) into (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0))
* [misc]backup-simplify:  Simplify (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0))) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)))
* [misc]taylor:  Taking taylor expansion of (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) in alpha
* [misc]backup-simplify:  Simplify (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) into (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0))
* [misc]backup-simplify:  Simplify (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0))) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (/ 1 beta)) (+ (* beta (/ 0 (/ 1 beta))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (/ 1 beta)) (+ (* (/ beta alpha) (/ 0 (/ 1 beta))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (/ 1 beta)) (+ (* beta (/ 0 (/ 1 beta))) (* 0 (/ 0 (/ 1 beta))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (/ 1 beta)) (+ (* beta (/ 0 (/ 1 beta))) (* 0 (/ 0 (/ 1 beta))))) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 0) (+ (* 0 (/ beta alpha)) (* 0 beta))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0))) (+ (* (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0))) (/ 0 (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)))) (* 0 (/ 0 (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0))) 0) (+ (* 0 (+ beta (/ (sqr beta) alpha))) (* 0 (sqr beta)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) (+ (* 0 1) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0))) (+ (* (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0))) (/ 0 (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)))))) into 0
* [misc]backup-simplify:  Simplify (+ (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)))) 0) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0))))
* [misc]taylor:  Taking taylor expansion of (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (* alpha (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) in alpha
* [misc]backup-simplify:  Simplify (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) into (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0))
* [misc]backup-simplify:  Simplify (* 0 (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)))) into (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0))
* [misc]backup-simplify:  Simplify (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0))) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)))
* [misc]backup-simplify:  Simplify (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0))) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)))
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) (+ (* 0 1) (+ (* 0 0) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0))) (+ (* (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0))) (/ 0 (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0))) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)))
* [misc]backup-simplify:  Simplify (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0))) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)))
* [misc]backup-simplify:  Simplify (+ (* (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0))) (sqr (* 1 (* (/ 1 beta) (/ 1 (/ 1 i)))))) (+ (* (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0))) (* 1 (* (/ 1 beta) (/ 1 (/ 1 i))))) (* (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0))) (* (/ 1 (/ 1 alpha)) (* (sqr (/ 1 beta)) (/ 1 (/ 1 i))))))) into (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (sqr beta) (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)))) (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* beta (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)))) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (* (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) (sqr beta)))))
* [misc]approximate:  Taking taylor expansion of (* (/ (fma (/ 1 (/ 1 (- i))) (+ (/ 1 (/ 1 (- i))) (+ (/ 1 (/ 1 (- beta))) (/ 1 (/ 1 (- alpha))))) (/ 1 (* (/ 1 (- beta)) (/ 1 (- alpha))))) (fma (fma (/ 1 (/ 1 (- i))) 2 (/ 1 (/ 1 (- alpha)))) (fma (/ 1 (/ 1 (- beta))) 2 (fma (/ 1 (/ 1 (- i))) 2 (/ 1 (/ 1 (- alpha))))) (- (/ 1 (* (/ 1 (- beta)) (/ 1 (- beta)))) 1.0))) (+ (/ (/ 1 (- i)) (/ 1 (- beta))) (* (/ (/ 1 (- i)) (/ 1 (- beta))) (+ (/ (/ 1 (- alpha)) (/ 1 (- beta))) (/ (/ 1 (- i)) (/ 1 (- beta))))))) in (i beta alpha) around 0
* [misc]taylor:  Taking taylor expansion of (* (/ (fma (/ 1 (/ 1 (- i))) (+ (/ 1 (/ 1 (- i))) (+ (/ 1 (/ 1 (- beta))) (/ 1 (/ 1 (- alpha))))) (/ 1 (* (/ 1 (- beta)) (/ 1 (- alpha))))) (fma (fma (/ 1 (/ 1 (- i))) 2 (/ 1 (/ 1 (- alpha)))) (fma (/ 1 (/ 1 (- beta))) 2 (fma (/ 1 (/ 1 (- i))) 2 (/ 1 (/ 1 (- alpha))))) (- (/ 1 (* (/ 1 (- beta)) (/ 1 (- beta)))) 1.0))) (+ (/ (/ 1 (- i)) (/ 1 (- beta))) (* (/ (/ 1 (- i)) (/ 1 (- beta))) (+ (/ (/ 1 (- alpha)) (/ 1 (- beta))) (/ (/ 1 (- i)) (/ 1 (- beta))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 (/ 1 (- i))) (+ (/ 1 (/ 1 (- i))) (+ (/ 1 (/ 1 (- beta))) (/ 1 (/ 1 (- alpha))))) (/ 1 (* (/ 1 (- beta)) (/ 1 (- alpha))))) (fma (fma (/ 1 (/ 1 (- i))) 2 (/ 1 (/ 1 (- alpha)))) (fma (/ 1 (/ 1 (- beta))) 2 (fma (/ 1 (/ 1 (- i))) 2 (/ 1 (/ 1 (- alpha))))) (- (/ 1 (* (/ 1 (- beta)) (/ 1 (- beta)))) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (/ 1 (- i))) (+ (/ 1 (/ 1 (- i))) (+ (/ 1 (/ 1 (- beta))) (/ 1 (/ 1 (- alpha))))) (/ 1 (* (/ 1 (- beta)) (/ 1 (- alpha))))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 (/ 1 (- i))) (+ (/ 1 (/ 1 (- i))) (+ (/ 1 (/ 1 (- beta))) (/ 1 (/ 1 (- alpha))))) (/ 1 (* (/ 1 (- beta)) (/ 1 (- alpha))))) into (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (fma (fma (/ 1 (/ 1 (- i))) 2 (/ 1 (/ 1 (- alpha)))) (fma (/ 1 (/ 1 (- beta))) 2 (fma (/ 1 (/ 1 (- i))) 2 (/ 1 (/ 1 (- alpha))))) (- (/ 1 (* (/ 1 (- beta)) (/ 1 (- beta)))) 1.0)) in alpha
* [misc]backup-simplify:  Simplify (fma (fma (/ 1 (/ 1 (- i))) 2 (/ 1 (/ 1 (- alpha)))) (fma (/ 1 (/ 1 (- beta))) 2 (fma (/ 1 (/ 1 (- i))) 2 (/ 1 (/ 1 (- alpha))))) (- (/ 1 (* (/ 1 (- beta)) (/ 1 (- beta)))) 1.0)) into (fma (fma (* -1 i) 2 (* -1 alpha)) (fma (* -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (- (sqr beta) 1.0))
* [misc]backup-simplify:  Simplify (/ (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) (fma (fma (* -1 i) 2 (* -1 alpha)) (fma (* -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (- (sqr beta) 1.0))) into (/ (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) (fma (fma (* -1 i) 2 (* -1 alpha)) (fma (* -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (- (sqr beta) 1.0)))
* [misc]taylor:  Taking taylor expansion of (+ (/ (/ 1 (- i)) (/ 1 (- beta))) (* (/ (/ 1 (- i)) (/ 1 (- beta))) (+ (/ (/ 1 (- alpha)) (/ 1 (- beta))) (/ (/ 1 (- i)) (/ 1 (- beta)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- i)) (/ 1 (- beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in alpha
* [misc]taylor:  Taking taylor expansion of (- i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]backup-simplify:  Simplify (/ (/ -1 i) (/ -1 beta)) into (/ beta i)
* [misc]taylor:  Taking taylor expansion of (* (/ (/ 1 (- i)) (/ 1 (- beta))) (+ (/ (/ 1 (- alpha)) (/ 1 (- beta))) (/ (/ 1 (- i)) (/ 1 (- beta))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- i)) (/ 1 (- beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in alpha
* [misc]taylor:  Taking taylor expansion of (- i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]backup-simplify:  Simplify (/ (/ -1 i) (/ -1 beta)) into (/ beta i)
* [misc]taylor:  Taking taylor expansion of (+ (/ (/ 1 (- alpha)) (/ 1 (- beta))) (/ (/ 1 (- i)) (/ 1 (- beta)))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- alpha)) (/ 1 (- beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (- alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]backup-simplify:  Simplify (/ -1 (/ -1 beta)) into beta
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- i)) (/ 1 (- beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in alpha
* [misc]taylor:  Taking taylor expansion of (- i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]backup-simplify:  Simplify (/ (/ -1 i) (/ -1 beta)) into (/ beta i)
* [misc]taylor:  Taking taylor expansion of (* (/ (fma (/ 1 (/ 1 (- i))) (+ (/ 1 (/ 1 (- i))) (+ (/ 1 (/ 1 (- beta))) (/ 1 (/ 1 (- alpha))))) (/ 1 (* (/ 1 (- beta)) (/ 1 (- alpha))))) (fma (fma (/ 1 (/ 1 (- i))) 2 (/ 1 (/ 1 (- alpha)))) (fma (/ 1 (/ 1 (- beta))) 2 (fma (/ 1 (/ 1 (- i))) 2 (/ 1 (/ 1 (- alpha))))) (- (/ 1 (* (/ 1 (- beta)) (/ 1 (- beta)))) 1.0))) (+ (/ (/ 1 (- i)) (/ 1 (- beta))) (* (/ (/ 1 (- i)) (/ 1 (- beta))) (+ (/ (/ 1 (- alpha)) (/ 1 (- beta))) (/ (/ 1 (- i)) (/ 1 (- beta))))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 (/ 1 (- i))) (+ (/ 1 (/ 1 (- i))) (+ (/ 1 (/ 1 (- beta))) (/ 1 (/ 1 (- alpha))))) (/ 1 (* (/ 1 (- beta)) (/ 1 (- alpha))))) (fma (fma (/ 1 (/ 1 (- i))) 2 (/ 1 (/ 1 (- alpha)))) (fma (/ 1 (/ 1 (- beta))) 2 (fma (/ 1 (/ 1 (- i))) 2 (/ 1 (/ 1 (- alpha))))) (- (/ 1 (* (/ 1 (- beta)) (/ 1 (- beta)))) 1.0))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (/ 1 (- i))) (+ (/ 1 (/ 1 (- i))) (+ (/ 1 (/ 1 (- beta))) (/ 1 (/ 1 (- alpha))))) (/ 1 (* (/ 1 (- beta)) (/ 1 (- alpha))))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (/ 1 (- i))) (+ (/ 1 (/ 1 (- i))) (+ (/ 1 (/ 1 (- beta))) (/ 1 (/ 1 (- alpha))))) (/ 1 (* (/ 1 (- beta)) (/ 1 (- alpha))))) into (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (fma (fma (/ 1 (/ 1 (- i))) 2 (/ 1 (/ 1 (- alpha)))) (fma (/ 1 (/ 1 (- beta))) 2 (fma (/ 1 (/ 1 (- i))) 2 (/ 1 (/ 1 (- alpha))))) (- (/ 1 (* (/ 1 (- beta)) (/ 1 (- beta)))) 1.0)) in beta
* [misc]backup-simplify:  Simplify (fma (fma (/ 1 (/ 1 (- i))) 2 (/ 1 (/ 1 (- alpha)))) (fma (/ 1 (/ 1 (- beta))) 2 (fma (/ 1 (/ 1 (- i))) 2 (/ 1 (/ 1 (- alpha))))) (- (/ 1 (* (/ 1 (- beta)) (/ 1 (- beta)))) 1.0)) into (fma (fma (* -1 i) 2 (* -1 alpha)) (fma (* -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (- (sqr beta) 1.0))
* [misc]backup-simplify:  Simplify (/ (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) (fma (fma (* -1 i) 2 (* -1 alpha)) (fma (* -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (- (sqr beta) 1.0))) into (/ (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) (fma (fma (* -1 i) 2 (* -1 alpha)) (fma (* -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (- (sqr beta) 1.0)))
* [misc]taylor:  Taking taylor expansion of (+ (/ (/ 1 (- i)) (/ 1 (- beta))) (* (/ (/ 1 (- i)) (/ 1 (- beta))) (+ (/ (/ 1 (- alpha)) (/ 1 (- beta))) (/ (/ 1 (- i)) (/ 1 (- beta)))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- i)) (/ 1 (- beta))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in beta
* [misc]taylor:  Taking taylor expansion of (- i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (/ (/ -1 i) -1) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (* (/ (/ 1 (- i)) (/ 1 (- beta))) (+ (/ (/ 1 (- alpha)) (/ 1 (- beta))) (/ (/ 1 (- i)) (/ 1 (- beta))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- i)) (/ 1 (- beta))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in beta
* [misc]taylor:  Taking taylor expansion of (- i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (/ (/ -1 i) -1) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ (/ 1 (- alpha)) (/ 1 (- beta))) (/ (/ 1 (- i)) (/ 1 (- beta)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- alpha)) (/ 1 (- beta))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (/ (/ -1 alpha) -1) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- i)) (/ 1 (- beta))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in beta
* [misc]taylor:  Taking taylor expansion of (- i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (/ (/ -1 i) -1) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (* (/ (fma (/ 1 (/ 1 (- i))) (+ (/ 1 (/ 1 (- i))) (+ (/ 1 (/ 1 (- beta))) (/ 1 (/ 1 (- alpha))))) (/ 1 (* (/ 1 (- beta)) (/ 1 (- alpha))))) (fma (fma (/ 1 (/ 1 (- i))) 2 (/ 1 (/ 1 (- alpha)))) (fma (/ 1 (/ 1 (- beta))) 2 (fma (/ 1 (/ 1 (- i))) 2 (/ 1 (/ 1 (- alpha))))) (- (/ 1 (* (/ 1 (- beta)) (/ 1 (- beta)))) 1.0))) (+ (/ (/ 1 (- i)) (/ 1 (- beta))) (* (/ (/ 1 (- i)) (/ 1 (- beta))) (+ (/ (/ 1 (- alpha)) (/ 1 (- beta))) (/ (/ 1 (- i)) (/ 1 (- beta))))))) in i
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 (/ 1 (- i))) (+ (/ 1 (/ 1 (- i))) (+ (/ 1 (/ 1 (- beta))) (/ 1 (/ 1 (- alpha))))) (/ 1 (* (/ 1 (- beta)) (/ 1 (- alpha))))) (fma (fma (/ 1 (/ 1 (- i))) 2 (/ 1 (/ 1 (- alpha)))) (fma (/ 1 (/ 1 (- beta))) 2 (fma (/ 1 (/ 1 (- i))) 2 (/ 1 (/ 1 (- alpha))))) (- (/ 1 (* (/ 1 (- beta)) (/ 1 (- beta)))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (/ 1 (- i))) (+ (/ 1 (/ 1 (- i))) (+ (/ 1 (/ 1 (- beta))) (/ 1 (/ 1 (- alpha))))) (/ 1 (* (/ 1 (- beta)) (/ 1 (- alpha))))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 (/ 1 (- i))) (+ (/ 1 (/ 1 (- i))) (+ (/ 1 (/ 1 (- beta))) (/ 1 (/ 1 (- alpha))))) (/ 1 (* (/ 1 (- beta)) (/ 1 (- alpha))))) into (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (fma (fma (/ 1 (/ 1 (- i))) 2 (/ 1 (/ 1 (- alpha)))) (fma (/ 1 (/ 1 (- beta))) 2 (fma (/ 1 (/ 1 (- i))) 2 (/ 1 (/ 1 (- alpha))))) (- (/ 1 (* (/ 1 (- beta)) (/ 1 (- beta)))) 1.0)) in i
* [misc]backup-simplify:  Simplify (fma (fma (/ 1 (/ 1 (- i))) 2 (/ 1 (/ 1 (- alpha)))) (fma (/ 1 (/ 1 (- beta))) 2 (fma (/ 1 (/ 1 (- i))) 2 (/ 1 (/ 1 (- alpha))))) (- (/ 1 (* (/ 1 (- beta)) (/ 1 (- beta)))) 1.0)) into (fma (fma (* -1 i) 2 (* -1 alpha)) (fma (* -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (- (sqr beta) 1.0))
* [misc]backup-simplify:  Simplify (/ (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) (fma (fma (* -1 i) 2 (* -1 alpha)) (fma (* -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (- (sqr beta) 1.0))) into (/ (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) (fma (fma (* -1 i) 2 (* -1 alpha)) (fma (* -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (- (sqr beta) 1.0)))
* [misc]taylor:  Taking taylor expansion of (+ (/ (/ 1 (- i)) (/ 1 (- beta))) (* (/ (/ 1 (- i)) (/ 1 (- beta))) (+ (/ (/ 1 (- alpha)) (/ 1 (- beta))) (/ (/ 1 (- i)) (/ 1 (- beta)))))) in i
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- i)) (/ 1 (- beta))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in i
* [misc]taylor:  Taking taylor expansion of (- i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in i
* [misc]taylor:  Taking taylor expansion of (- beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]backup-simplify:  Simplify (/ -1 (/ -1 beta)) into beta
* [misc]taylor:  Taking taylor expansion of (* (/ (/ 1 (- i)) (/ 1 (- beta))) (+ (/ (/ 1 (- alpha)) (/ 1 (- beta))) (/ (/ 1 (- i)) (/ 1 (- beta))))) in i
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- i)) (/ 1 (- beta))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in i
* [misc]taylor:  Taking taylor expansion of (- i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in i
* [misc]taylor:  Taking taylor expansion of (- beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]backup-simplify:  Simplify (/ -1 (/ -1 beta)) into beta
* [misc]taylor:  Taking taylor expansion of (+ (/ (/ 1 (- alpha)) (/ 1 (- beta))) (/ (/ 1 (- i)) (/ 1 (- beta)))) in i
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- alpha)) (/ 1 (- beta))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in i
* [misc]taylor:  Taking taylor expansion of (- alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in i
* [misc]taylor:  Taking taylor expansion of (- beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]backup-simplify:  Simplify (/ (/ -1 alpha) (/ -1 beta)) into (/ beta alpha)
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- i)) (/ 1 (- beta))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in i
* [misc]taylor:  Taking taylor expansion of (- i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in i
* [misc]taylor:  Taking taylor expansion of (- beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]backup-simplify:  Simplify (/ -1 (/ -1 beta)) into beta
* [misc]taylor:  Taking taylor expansion of (* (/ (fma (/ 1 (/ 1 (- i))) (+ (/ 1 (/ 1 (- i))) (+ (/ 1 (/ 1 (- beta))) (/ 1 (/ 1 (- alpha))))) (/ 1 (* (/ 1 (- beta)) (/ 1 (- alpha))))) (fma (fma (/ 1 (/ 1 (- i))) 2 (/ 1 (/ 1 (- alpha)))) (fma (/ 1 (/ 1 (- beta))) 2 (fma (/ 1 (/ 1 (- i))) 2 (/ 1 (/ 1 (- alpha))))) (- (/ 1 (* (/ 1 (- beta)) (/ 1 (- beta)))) 1.0))) (+ (/ (/ 1 (- i)) (/ 1 (- beta))) (* (/ (/ 1 (- i)) (/ 1 (- beta))) (+ (/ (/ 1 (- alpha)) (/ 1 (- beta))) (/ (/ 1 (- i)) (/ 1 (- beta))))))) in i
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 (/ 1 (- i))) (+ (/ 1 (/ 1 (- i))) (+ (/ 1 (/ 1 (- beta))) (/ 1 (/ 1 (- alpha))))) (/ 1 (* (/ 1 (- beta)) (/ 1 (- alpha))))) (fma (fma (/ 1 (/ 1 (- i))) 2 (/ 1 (/ 1 (- alpha)))) (fma (/ 1 (/ 1 (- beta))) 2 (fma (/ 1 (/ 1 (- i))) 2 (/ 1 (/ 1 (- alpha))))) (- (/ 1 (* (/ 1 (- beta)) (/ 1 (- beta)))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (/ 1 (- i))) (+ (/ 1 (/ 1 (- i))) (+ (/ 1 (/ 1 (- beta))) (/ 1 (/ 1 (- alpha))))) (/ 1 (* (/ 1 (- beta)) (/ 1 (- alpha))))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 (/ 1 (- i))) (+ (/ 1 (/ 1 (- i))) (+ (/ 1 (/ 1 (- beta))) (/ 1 (/ 1 (- alpha))))) (/ 1 (* (/ 1 (- beta)) (/ 1 (- alpha))))) into (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (fma (fma (/ 1 (/ 1 (- i))) 2 (/ 1 (/ 1 (- alpha)))) (fma (/ 1 (/ 1 (- beta))) 2 (fma (/ 1 (/ 1 (- i))) 2 (/ 1 (/ 1 (- alpha))))) (- (/ 1 (* (/ 1 (- beta)) (/ 1 (- beta)))) 1.0)) in i
* [misc]backup-simplify:  Simplify (fma (fma (/ 1 (/ 1 (- i))) 2 (/ 1 (/ 1 (- alpha)))) (fma (/ 1 (/ 1 (- beta))) 2 (fma (/ 1 (/ 1 (- i))) 2 (/ 1 (/ 1 (- alpha))))) (- (/ 1 (* (/ 1 (- beta)) (/ 1 (- beta)))) 1.0)) into (fma (fma (* -1 i) 2 (* -1 alpha)) (fma (* -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (- (sqr beta) 1.0))
* [misc]backup-simplify:  Simplify (/ (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) (fma (fma (* -1 i) 2 (* -1 alpha)) (fma (* -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (- (sqr beta) 1.0))) into (/ (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) (fma (fma (* -1 i) 2 (* -1 alpha)) (fma (* -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (- (sqr beta) 1.0)))
* [misc]taylor:  Taking taylor expansion of (+ (/ (/ 1 (- i)) (/ 1 (- beta))) (* (/ (/ 1 (- i)) (/ 1 (- beta))) (+ (/ (/ 1 (- alpha)) (/ 1 (- beta))) (/ (/ 1 (- i)) (/ 1 (- beta)))))) in i
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- i)) (/ 1 (- beta))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in i
* [misc]taylor:  Taking taylor expansion of (- i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in i
* [misc]taylor:  Taking taylor expansion of (- beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]backup-simplify:  Simplify (/ -1 (/ -1 beta)) into beta
* [misc]taylor:  Taking taylor expansion of (* (/ (/ 1 (- i)) (/ 1 (- beta))) (+ (/ (/ 1 (- alpha)) (/ 1 (- beta))) (/ (/ 1 (- i)) (/ 1 (- beta))))) in i
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- i)) (/ 1 (- beta))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in i
* [misc]taylor:  Taking taylor expansion of (- i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in i
* [misc]taylor:  Taking taylor expansion of (- beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]backup-simplify:  Simplify (/ -1 (/ -1 beta)) into beta
* [misc]taylor:  Taking taylor expansion of (+ (/ (/ 1 (- alpha)) (/ 1 (- beta))) (/ (/ 1 (- i)) (/ 1 (- beta)))) in i
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- alpha)) (/ 1 (- beta))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in i
* [misc]taylor:  Taking taylor expansion of (- alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in i
* [misc]taylor:  Taking taylor expansion of (- beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]backup-simplify:  Simplify (/ (/ -1 alpha) (/ -1 beta)) into (/ beta alpha)
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- i)) (/ 1 (- beta))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in i
* [misc]taylor:  Taking taylor expansion of (- i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in i
* [misc]taylor:  Taking taylor expansion of (- beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]backup-simplify:  Simplify (/ -1 (/ -1 beta)) into beta
* [misc]backup-simplify:  Simplify (+ 0 beta) into beta
* [misc]backup-simplify:  Simplify (* beta beta) into (sqr beta)
* [misc]backup-simplify:  Simplify (+ 0 (sqr beta)) into (sqr beta)
* [misc]backup-simplify:  Simplify (* (/ (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) (fma (fma (* -1 i) 2 (* -1 alpha)) (fma (* -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (- (sqr beta) 1.0))) (sqr beta)) into (/ (* (sqr beta) (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))) (fma (fma (* -1 i) 2 (* -1 alpha)) (fma (* -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (- (sqr beta) 1.0)))
* [misc]taylor:  Taking taylor expansion of (/ (* (sqr beta) (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))) (fma (fma (* -1 i) 2 (* -1 alpha)) (fma (* -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (- (sqr beta) 1.0))) in beta
* [misc]taylor:  Taking taylor expansion of (* (sqr beta) (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (sqr beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) in beta
* [misc]backup-simplify:  Simplify (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) into (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (fma (fma (* -1 i) 2 (* -1 alpha)) (fma (* -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (- (sqr beta) 1.0)) in beta
* [misc]backup-simplify:  Simplify (fma (fma (* -1 i) 2 (* -1 alpha)) (fma (* -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (- (sqr beta) 1.0)) into (fma (fma (* -1 i) 2 (* -1 alpha)) (fma (* -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (- (sqr beta) 1.0))
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* 0 (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 0 (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 0 0) (* 1 (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))))) into (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))
* [misc]backup-simplify:  Simplify (/ (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) (fma (fma (* -1 i) 2 (* -1 alpha)) (fma (* -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (- (sqr beta) 1.0))) into (/ (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) (fma (fma (* -1 i) 2 (* -1 alpha)) (fma (* -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (- (sqr beta) 1.0)))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 beta) (/ 0 (- beta))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (/ -1 beta)) (+ (* beta (/ 0 (/ -1 beta))))) into 0
* [misc]backup-simplify:  Simplify (+ (/ beta alpha) 0) into (/ beta alpha)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 beta) (/ 0 (- beta))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (/ -1 beta)) (+ (* beta (/ 0 (/ -1 beta))))) into 0
* [misc]backup-simplify:  Simplify (+ (* beta (/ beta alpha)) (* 0 beta)) into (/ (sqr beta) alpha)
* [misc]backup-simplify:  Simplify (+ beta (/ (sqr beta) alpha)) into (+ beta (/ (sqr beta) alpha))
* [misc]backup-simplify:  Simplify (- (/ 0 (fma (fma (* -1 i) 2 (* -1 alpha)) (fma (* -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (- (sqr beta) 1.0))) (+ (* (/ (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) (fma (fma (* -1 i) 2 (* -1 alpha)) (fma (* -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (- (sqr beta) 1.0))) (/ 0 (fma (fma (* -1 i) 2 (* -1 alpha)) (fma (* -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (- (sqr beta) 1.0)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) (fma (fma (* -1 i) 2 (* -1 alpha)) (fma (* -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (- (sqr beta) 1.0))) (+ beta (/ (sqr beta) alpha))) (* 0 (sqr beta))) into (+ (/ (* (sqr beta) (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))) (* alpha (fma (fma (* -1 i) 2 (* -1 alpha)) (fma (* -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (- (sqr beta) 1.0)))) (/ (* beta (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))) (fma (fma (* -1 i) 2 (* -1 alpha)) (fma (* -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (- (sqr beta) 1.0))))
* [misc]taylor:  Taking taylor expansion of (+ (/ (* (sqr beta) (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))) (* alpha (fma (fma (* -1 i) 2 (* -1 alpha)) (fma (* -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (- (sqr beta) 1.0)))) (/ (* beta (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))) (fma (fma (* -1 i) 2 (* -1 alpha)) (fma (* -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (- (sqr beta) 1.0)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (* (sqr beta) (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))) (* alpha (fma (fma (* -1 i) 2 (* -1 alpha)) (fma (* -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (- (sqr beta) 1.0)))) in beta
* [misc]taylor:  Taking taylor expansion of (* (sqr beta) (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (sqr beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) in beta
* [misc]backup-simplify:  Simplify (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) into (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (* alpha (fma (fma (* -1 i) 2 (* -1 alpha)) (fma (* -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (- (sqr beta) 1.0))) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of (fma (fma (* -1 i) 2 (* -1 alpha)) (fma (* -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (- (sqr beta) 1.0)) in beta
* [misc]backup-simplify:  Simplify (fma (fma (* -1 i) 2 (* -1 alpha)) (fma (* -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (- (sqr beta) 1.0)) into (fma (fma (* -1 i) 2 (* -1 alpha)) (fma (* -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (- (sqr beta) 1.0))
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* 0 (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 0 (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 0 0) (* 1 (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))))) into (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))
* [misc]backup-simplify:  Simplify (* alpha (fma (fma (* -1 i) 2 (* -1 alpha)) (fma (* -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (- (sqr beta) 1.0))) into (* alpha (fma (fma (* -1 i) 2 (* -1 alpha)) (fma (* -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (- (sqr beta) 1.0)))
* [misc]backup-simplify:  Simplify (/ (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) (* alpha (fma (fma (* -1 i) 2 (* -1 alpha)) (fma (* -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (- (sqr beta) 1.0)))) into (/ (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) (* alpha (fma (fma (* -1 i) 2 (* -1 alpha)) (fma (* -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (- (sqr beta) 1.0))))
* [misc]taylor:  Taking taylor expansion of (/ (* beta (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))) (fma (fma (* -1 i) 2 (* -1 alpha)) (fma (* -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (- (sqr beta) 1.0))) in beta
* [misc]taylor:  Taking taylor expansion of (* beta (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) in beta
* [misc]backup-simplify:  Simplify (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) into (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (fma (fma (* -1 i) 2 (* -1 alpha)) (fma (* -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (- (sqr beta) 1.0)) in beta
* [misc]backup-simplify:  Simplify (fma (fma (* -1 i) 2 (* -1 alpha)) (fma (* -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (- (sqr beta) 1.0)) into (fma (fma (* -1 i) 2 (* -1 alpha)) (fma (* -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (- (sqr beta) 1.0))
* [misc]backup-simplify:  Simplify (* 0 (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)))) into (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))
* [misc]backup-simplify:  Simplify (/ (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) (fma (fma (* -1 i) 2 (* -1 alpha)) (fma (* -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (- (sqr beta) 1.0))) into (/ (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) (fma (fma (* -1 i) 2 (* -1 alpha)) (fma (* -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (- (sqr beta) 1.0)))
* [misc]backup-simplify:  Simplify (+ 0 (/ (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) (fma (fma (* -1 i) 2 (* -1 alpha)) (fma (* -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (- (sqr beta) 1.0)))) into (/ (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) (fma (fma (* -1 i) 2 (* -1 alpha)) (fma (* -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (- (sqr beta) 1.0)))
* [misc]taylor:  Taking taylor expansion of (/ (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) (fma (fma (* -1 i) 2 (* -1 alpha)) (fma (* -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (- (sqr beta) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) into (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (fma (fma (* -1 i) 2 (* -1 alpha)) (fma (* -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (- (sqr beta) 1.0)) in alpha
* [misc]backup-simplify:  Simplify (fma (fma (* -1 i) 2 (* -1 alpha)) (fma (* -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (- (sqr beta) 1.0)) into (fma (fma (* -1 i) 2 (* -1 alpha)) (fma (* -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (- (sqr beta) 1.0))
* [misc]backup-simplify:  Simplify (/ (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) (fma (fma (* -1 i) 2 (* -1 alpha)) (fma (* -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (- (sqr beta) 1.0))) into (/ (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) (fma (fma (* -1 i) 2 (* -1 alpha)) (fma (* -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (- (sqr beta) 1.0)))
* [misc]taylor:  Taking taylor expansion of (/ (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) (fma (fma (* -1 i) 2 (* -1 alpha)) (fma (* -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (- (sqr beta) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) into (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (fma (fma (* -1 i) 2 (* -1 alpha)) (fma (* -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (- (sqr beta) 1.0)) in alpha
* [misc]backup-simplify:  Simplify (fma (fma (* -1 i) 2 (* -1 alpha)) (fma (* -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (- (sqr beta) 1.0)) into (fma (fma (* -1 i) 2 (* -1 alpha)) (fma (* -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (- (sqr beta) 1.0))
* [misc]backup-simplify:  Simplify (/ (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) (fma (fma (* -1 i) 2 (* -1 alpha)) (fma (* -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (- (sqr beta) 1.0))) into (/ (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) (fma (fma (* -1 i) 2 (* -1 alpha)) (fma (* -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (- (sqr beta) 1.0)))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 beta) (/ 0 (- beta))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (/ -1 beta)) (+ (* beta (/ 0 (/ -1 beta))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 alpha) (/ 0 (- alpha))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 beta) (/ 0 (- beta))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (/ -1 beta)) (+ (* (/ beta alpha) (/ 0 (/ -1 beta))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 beta) (/ 0 (- beta))) (* 0 (/ 0 (- beta))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (/ -1 beta)) (+ (* beta (/ 0 (/ -1 beta))) (* 0 (/ 0 (/ -1 beta))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 beta) (/ 0 (- beta))) (* 0 (/ 0 (- beta))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (/ -1 beta)) (+ (* beta (/ 0 (/ -1 beta))) (* 0 (/ 0 (/ -1 beta))))) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 0) (+ (* 0 (/ beta alpha)) (* 0 beta))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (fma (fma (* -1 i) 2 (* -1 alpha)) (fma (* -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (- (sqr beta) 1.0))) (+ (* (/ (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) (fma (fma (* -1 i) 2 (* -1 alpha)) (fma (* -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (- (sqr beta) 1.0))) (/ 0 (fma (fma (* -1 i) 2 (* -1 alpha)) (fma (* -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (- (sqr beta) 1.0)))) (* 0 (/ 0 (fma (fma (* -1 i) 2 (* -1 alpha)) (fma (* -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (- (sqr beta) 1.0)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) (fma (fma (* -1 i) 2 (* -1 alpha)) (fma (* -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (- (sqr beta) 1.0))) 0) (+ (* 0 (+ beta (/ (sqr beta) alpha))) (* 0 (sqr beta)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (fma (fma (* -1 i) 2 (* -1 alpha)) (fma (* -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (- (sqr beta) 1.0))) (+ (* (/ (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) (fma (fma (* -1 i) 2 (* -1 alpha)) (fma (* -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (- (sqr beta) 1.0))) (/ 0 (fma (fma (* -1 i) 2 (* -1 alpha)) (fma (* -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (- (sqr beta) 1.0)))))) into 0
* [misc]backup-simplify:  Simplify (+ (/ (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) (* alpha (fma (fma (* -1 i) 2 (* -1 alpha)) (fma (* -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (- (sqr beta) 1.0)))) 0) into (/ (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) (* alpha (fma (fma (* -1 i) 2 (* -1 alpha)) (fma (* -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (- (sqr beta) 1.0))))
* [misc]taylor:  Taking taylor expansion of (/ (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) (* alpha (fma (fma (* -1 i) 2 (* -1 alpha)) (fma (* -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (- (sqr beta) 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) into (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (* alpha (fma (fma (* -1 i) 2 (* -1 alpha)) (fma (* -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (- (sqr beta) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma (fma (* -1 i) 2 (* -1 alpha)) (fma (* -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (- (sqr beta) 1.0)) in alpha
* [misc]backup-simplify:  Simplify (fma (fma (* -1 i) 2 (* -1 alpha)) (fma (* -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (- (sqr beta) 1.0)) into (fma (fma (* -1 i) 2 (* -1 alpha)) (fma (* -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (- (sqr beta) 1.0))
* [misc]backup-simplify:  Simplify (* 0 (fma (fma (* -1 i) 2 (* -1 alpha)) (fma (* -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (- (sqr beta) 1.0))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 (fma (fma (* -1 i) 2 (* -1 alpha)) (fma (* -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (- (sqr beta) 1.0)))) into (fma (fma (* -1 i) 2 (* -1 alpha)) (fma (* -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (- (sqr beta) 1.0))
* [misc]backup-simplify:  Simplify (/ (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) (fma (fma (* -1 i) 2 (* -1 alpha)) (fma (* -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (- (sqr beta) 1.0))) into (/ (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) (fma (fma (* -1 i) 2 (* -1 alpha)) (fma (* -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (- (sqr beta) 1.0)))
* [misc]backup-simplify:  Simplify (/ (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) (fma (fma (* -1 i) 2 (* -1 alpha)) (fma (* -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (- (sqr beta) 1.0))) into (/ (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) (fma (fma (* -1 i) 2 (* -1 alpha)) (fma (* -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (- (sqr beta) 1.0)))
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 0 0) (+ (* 1 0) (* 0 (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (fma (fma (* -1 i) 2 (* -1 alpha)) (fma (* -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (- (sqr beta) 1.0))) (+ (* (/ (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) (fma (fma (* -1 i) 2 (* -1 alpha)) (fma (* -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (- (sqr beta) 1.0))) (/ 0 (fma (fma (* -1 i) 2 (* -1 alpha)) (fma (* -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (- (sqr beta) 1.0)))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) (fma (fma (* -1 i) 2 (* -1 alpha)) (fma (* -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (- (sqr beta) 1.0))) into (/ (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) (fma (fma (* -1 i) 2 (* -1 alpha)) (fma (* -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (- (sqr beta) 1.0)))
* [misc]backup-simplify:  Simplify (/ (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) (fma (fma (* -1 i) 2 (* -1 alpha)) (fma (* -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (- (sqr beta) 1.0))) into (/ (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) (fma (fma (* -1 i) 2 (* -1 alpha)) (fma (* -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (- (sqr beta) 1.0)))
* [misc]backup-simplify:  Simplify (+ (* (/ (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) (fma (fma (* -1 i) 2 (* -1 alpha)) (fma (* -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (- (sqr beta) 1.0))) (sqr (* 1 (* (/ 1 (- beta)) (/ 1 (/ 1 (- i))))))) (+ (* (/ (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) (fma (fma (* -1 i) 2 (* -1 alpha)) (fma (* -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (- (sqr beta) 1.0))) (* 1 (* (/ 1 (- beta)) (/ 1 (/ 1 (- i)))))) (* (/ (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) (fma (fma (* -1 i) 2 (* -1 alpha)) (fma (* -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (- (sqr beta) 1.0))) (* (/ 1 (/ 1 (- alpha))) (* (sqr (/ 1 (- beta))) (/ 1 (/ 1 (- i)))))))) into (+ (/ (* (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) (* alpha i)) (* (fma (fma (* -1 i) 2 (* -1 alpha)) (fma (* -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (- (sqr beta) 1.0)) (sqr beta))) (+ (/ (* (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) i) (* beta (fma (fma (* -1 i) 2 (* -1 alpha)) (fma (* -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (- (sqr beta) 1.0)))) (/ (* (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) (sqr i)) (* (sqr beta) (fma (fma (* -1 i) 2 (* -1 alpha)) (fma (* -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (- (sqr beta) 1.0))))))
* [misc]approximate:  Taking taylor expansion of (+ (/ i beta) (* (/ i beta) (+ (/ alpha beta) (/ i beta)))) in (i beta alpha) around 0
* [misc]taylor:  Taking taylor expansion of (+ (/ i beta) (* (/ i beta) (+ (/ alpha beta) (/ i beta)))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ i beta) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ i beta) into (/ i beta)
* [misc]taylor:  Taking taylor expansion of (* (/ i beta) (+ (/ alpha beta) (/ i beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ i beta) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ i beta) into (/ i beta)
* [misc]taylor:  Taking taylor expansion of (+ (/ alpha beta) (/ i beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (/ alpha beta) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (/ i beta) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ i beta) into (/ i beta)
* [misc]taylor:  Taking taylor expansion of (+ (/ i beta) (* (/ i beta) (+ (/ alpha beta) (/ i beta)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ i beta) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ i 1) into i
* [misc]taylor:  Taking taylor expansion of (* (/ i beta) (+ (/ alpha beta) (/ i beta))) in beta
* [misc]taylor:  Taking taylor expansion of (/ i beta) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ i 1) into i
* [misc]taylor:  Taking taylor expansion of (+ (/ alpha beta) (/ i beta)) in beta
* [misc]taylor:  Taking taylor expansion of (/ alpha beta) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ alpha 1) into alpha
* [misc]taylor:  Taking taylor expansion of (/ i beta) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ i 1) into i
* [misc]taylor:  Taking taylor expansion of (+ (/ i beta) (* (/ i beta) (+ (/ alpha beta) (/ i beta)))) in i
* [misc]taylor:  Taking taylor expansion of (/ i beta) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (* (/ i beta) (+ (/ alpha beta) (/ i beta))) in i
* [misc]taylor:  Taking taylor expansion of (/ i beta) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (+ (/ alpha beta) (/ i beta)) in i
* [misc]taylor:  Taking taylor expansion of (/ alpha beta) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ alpha beta) into (/ alpha beta)
* [misc]taylor:  Taking taylor expansion of (/ i beta) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (+ (/ i beta) (* (/ i beta) (+ (/ alpha beta) (/ i beta)))) in i
* [misc]taylor:  Taking taylor expansion of (/ i beta) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (* (/ i beta) (+ (/ alpha beta) (/ i beta))) in i
* [misc]taylor:  Taking taylor expansion of (/ i beta) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (+ (/ alpha beta) (/ i beta)) in i
* [misc]taylor:  Taking taylor expansion of (/ alpha beta) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ alpha beta) into (/ alpha beta)
* [misc]taylor:  Taking taylor expansion of (/ i beta) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]backup-simplify:  Simplify (+ (/ alpha beta) 0) into (/ alpha beta)
* [misc]backup-simplify:  Simplify (* (/ 1 beta) (/ alpha beta)) into (/ alpha (sqr beta))
* [misc]backup-simplify:  Simplify (+ (/ 1 beta) (/ alpha (sqr beta))) into (+ (/ 1 beta) (/ alpha (sqr beta)))
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (/ alpha (sqr beta))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ alpha (sqr beta)) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of (sqr beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (/ alpha 1) into alpha
* [misc]backup-simplify:  Simplify (+ 0 alpha) into alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 beta) (+ (* (/ 1 beta) (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 beta) (+ (* (/ alpha beta) (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 beta)) into (/ 1 beta)
* [misc]backup-simplify:  Simplify (- (/ 0 beta) (+ (* (/ 1 beta) (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 beta) (/ 1 beta)) (* 0 (/ alpha beta))) into (/ 1 (sqr beta))
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 (sqr beta))) into (/ 1 (sqr beta))
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqr beta)) in beta
* [misc]taylor:  Taking taylor expansion of (sqr beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of 1 in alpha
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* alpha (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]taylor:  Taking taylor expansion of 1 in alpha
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ (* 1 (* alpha (* (/ 1 (sqr beta)) i))) (+ (* 1 (* 1 (* (/ 1 beta) i))) (* 1 (sqr (* 1 (* (/ 1 beta) i)))))) into (+ (/ (sqr i) (sqr beta)) (+ (/ i beta) (/ (* alpha i) (sqr beta))))
* [misc]approximate:  Taking taylor expansion of (+ (/ (/ 1 i) (/ 1 beta)) (* (/ (/ 1 i) (/ 1 beta)) (+ (/ (/ 1 alpha) (/ 1 beta)) (/ (/ 1 i) (/ 1 beta))))) in (i beta alpha) around 0
* [misc]taylor:  Taking taylor expansion of (+ (/ (/ 1 i) (/ 1 beta)) (* (/ (/ 1 i) (/ 1 beta)) (+ (/ (/ 1 alpha) (/ 1 beta)) (/ (/ 1 i) (/ 1 beta))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 i) (/ 1 beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]backup-simplify:  Simplify (/ (/ 1 i) (/ 1 beta)) into (/ beta i)
* [misc]taylor:  Taking taylor expansion of (* (/ (/ 1 i) (/ 1 beta)) (+ (/ (/ 1 alpha) (/ 1 beta)) (/ (/ 1 i) (/ 1 beta)))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 i) (/ 1 beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]backup-simplify:  Simplify (/ (/ 1 i) (/ 1 beta)) into (/ beta i)
* [misc]taylor:  Taking taylor expansion of (+ (/ (/ 1 alpha) (/ 1 beta)) (/ (/ 1 i) (/ 1 beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 alpha) (/ 1 beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]backup-simplify:  Simplify (/ 1 (/ 1 beta)) into beta
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 i) (/ 1 beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]backup-simplify:  Simplify (/ (/ 1 i) (/ 1 beta)) into (/ beta i)
* [misc]taylor:  Taking taylor expansion of (+ (/ (/ 1 i) (/ 1 beta)) (* (/ (/ 1 i) (/ 1 beta)) (+ (/ (/ 1 alpha) (/ 1 beta)) (/ (/ 1 i) (/ 1 beta))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 i) (/ 1 beta)) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (/ (/ 1 i) 1) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (* (/ (/ 1 i) (/ 1 beta)) (+ (/ (/ 1 alpha) (/ 1 beta)) (/ (/ 1 i) (/ 1 beta)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 i) (/ 1 beta)) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (/ (/ 1 i) 1) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ (/ 1 alpha) (/ 1 beta)) (/ (/ 1 i) (/ 1 beta))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 alpha) (/ 1 beta)) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (/ (/ 1 alpha) 1) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 i) (/ 1 beta)) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (/ (/ 1 i) 1) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ (/ 1 i) (/ 1 beta)) (* (/ (/ 1 i) (/ 1 beta)) (+ (/ (/ 1 alpha) (/ 1 beta)) (/ (/ 1 i) (/ 1 beta))))) in i
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 i) (/ 1 beta)) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]backup-simplify:  Simplify (/ 1 (/ 1 beta)) into beta
* [misc]taylor:  Taking taylor expansion of (* (/ (/ 1 i) (/ 1 beta)) (+ (/ (/ 1 alpha) (/ 1 beta)) (/ (/ 1 i) (/ 1 beta)))) in i
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 i) (/ 1 beta)) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]backup-simplify:  Simplify (/ 1 (/ 1 beta)) into beta
* [misc]taylor:  Taking taylor expansion of (+ (/ (/ 1 alpha) (/ 1 beta)) (/ (/ 1 i) (/ 1 beta))) in i
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 alpha) (/ 1 beta)) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]backup-simplify:  Simplify (/ (/ 1 alpha) (/ 1 beta)) into (/ beta alpha)
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 i) (/ 1 beta)) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]backup-simplify:  Simplify (/ 1 (/ 1 beta)) into beta
* [misc]taylor:  Taking taylor expansion of (+ (/ (/ 1 i) (/ 1 beta)) (* (/ (/ 1 i) (/ 1 beta)) (+ (/ (/ 1 alpha) (/ 1 beta)) (/ (/ 1 i) (/ 1 beta))))) in i
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 i) (/ 1 beta)) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]backup-simplify:  Simplify (/ 1 (/ 1 beta)) into beta
* [misc]taylor:  Taking taylor expansion of (* (/ (/ 1 i) (/ 1 beta)) (+ (/ (/ 1 alpha) (/ 1 beta)) (/ (/ 1 i) (/ 1 beta)))) in i
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 i) (/ 1 beta)) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]backup-simplify:  Simplify (/ 1 (/ 1 beta)) into beta
* [misc]taylor:  Taking taylor expansion of (+ (/ (/ 1 alpha) (/ 1 beta)) (/ (/ 1 i) (/ 1 beta))) in i
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 alpha) (/ 1 beta)) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]backup-simplify:  Simplify (/ (/ 1 alpha) (/ 1 beta)) into (/ beta alpha)
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 i) (/ 1 beta)) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]backup-simplify:  Simplify (/ 1 (/ 1 beta)) into beta
* [misc]backup-simplify:  Simplify (+ 0 beta) into beta
* [misc]backup-simplify:  Simplify (* beta beta) into (sqr beta)
* [misc]backup-simplify:  Simplify (+ 0 (sqr beta)) into (sqr beta)
* [misc]taylor:  Taking taylor expansion of (sqr beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (/ 1 beta)) (+ (* beta (/ 0 (/ 1 beta))))) into 0
* [misc]backup-simplify:  Simplify (+ (/ beta alpha) 0) into (/ beta alpha)
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (/ 1 beta)) (+ (* beta (/ 0 (/ 1 beta))))) into 0
* [misc]backup-simplify:  Simplify (+ (* beta (/ beta alpha)) (* 0 beta)) into (/ (sqr beta) alpha)
* [misc]backup-simplify:  Simplify (+ beta (/ (sqr beta) alpha)) into (+ beta (/ (sqr beta) alpha))
* [misc]taylor:  Taking taylor expansion of (+ beta (/ (sqr beta) alpha)) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (/ (sqr beta) alpha) in beta
* [misc]taylor:  Taking taylor expansion of (sqr beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]taylor:  Taking taylor expansion of 1 in alpha
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]taylor:  Taking taylor expansion of 1 in alpha
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (/ 1 beta)) (+ (* beta (/ 0 (/ 1 beta))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (/ 1 beta)) (+ (* (/ beta alpha) (/ 0 (/ 1 beta))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (/ 1 beta)) (+ (* beta (/ 0 (/ 1 beta))) (* 0 (/ 0 (/ 1 beta))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (/ 1 beta)) (+ (* beta (/ 0 (/ 1 beta))) (* 0 (/ 0 (/ 1 beta))))) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 0) (+ (* 0 (/ beta alpha)) (* 0 beta))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 alpha)) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ (* 1 (sqr (* 1 (* (/ 1 beta) (/ 1 (/ 1 i)))))) (+ (* 1 (* 1 (* (/ 1 beta) (/ 1 (/ 1 i))))) (* 1 (* (/ 1 (/ 1 alpha)) (* (sqr (/ 1 beta)) (/ 1 (/ 1 i))))))) into (+ (/ i beta) (+ (/ (* alpha i) (sqr beta)) (/ (sqr i) (sqr beta))))
* [misc]approximate:  Taking taylor expansion of (+ (/ (/ 1 (- i)) (/ 1 (- beta))) (* (/ (/ 1 (- i)) (/ 1 (- beta))) (+ (/ (/ 1 (- alpha)) (/ 1 (- beta))) (/ (/ 1 (- i)) (/ 1 (- beta)))))) in (i beta alpha) around 0
* [misc]taylor:  Taking taylor expansion of (+ (/ (/ 1 (- i)) (/ 1 (- beta))) (* (/ (/ 1 (- i)) (/ 1 (- beta))) (+ (/ (/ 1 (- alpha)) (/ 1 (- beta))) (/ (/ 1 (- i)) (/ 1 (- beta)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- i)) (/ 1 (- beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in alpha
* [misc]taylor:  Taking taylor expansion of (- i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]backup-simplify:  Simplify (/ (/ -1 i) (/ -1 beta)) into (/ beta i)
* [misc]taylor:  Taking taylor expansion of (* (/ (/ 1 (- i)) (/ 1 (- beta))) (+ (/ (/ 1 (- alpha)) (/ 1 (- beta))) (/ (/ 1 (- i)) (/ 1 (- beta))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- i)) (/ 1 (- beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in alpha
* [misc]taylor:  Taking taylor expansion of (- i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]backup-simplify:  Simplify (/ (/ -1 i) (/ -1 beta)) into (/ beta i)
* [misc]taylor:  Taking taylor expansion of (+ (/ (/ 1 (- alpha)) (/ 1 (- beta))) (/ (/ 1 (- i)) (/ 1 (- beta)))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- alpha)) (/ 1 (- beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (- alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]backup-simplify:  Simplify (/ -1 (/ -1 beta)) into beta
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- i)) (/ 1 (- beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in alpha
* [misc]taylor:  Taking taylor expansion of (- i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]backup-simplify:  Simplify (/ (/ -1 i) (/ -1 beta)) into (/ beta i)
* [misc]taylor:  Taking taylor expansion of (+ (/ (/ 1 (- i)) (/ 1 (- beta))) (* (/ (/ 1 (- i)) (/ 1 (- beta))) (+ (/ (/ 1 (- alpha)) (/ 1 (- beta))) (/ (/ 1 (- i)) (/ 1 (- beta)))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- i)) (/ 1 (- beta))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in beta
* [misc]taylor:  Taking taylor expansion of (- i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (/ (/ -1 i) -1) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (* (/ (/ 1 (- i)) (/ 1 (- beta))) (+ (/ (/ 1 (- alpha)) (/ 1 (- beta))) (/ (/ 1 (- i)) (/ 1 (- beta))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- i)) (/ 1 (- beta))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in beta
* [misc]taylor:  Taking taylor expansion of (- i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (/ (/ -1 i) -1) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ (/ 1 (- alpha)) (/ 1 (- beta))) (/ (/ 1 (- i)) (/ 1 (- beta)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- alpha)) (/ 1 (- beta))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (/ (/ -1 alpha) -1) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- i)) (/ 1 (- beta))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in beta
* [misc]taylor:  Taking taylor expansion of (- i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (/ (/ -1 i) -1) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ (/ 1 (- i)) (/ 1 (- beta))) (* (/ (/ 1 (- i)) (/ 1 (- beta))) (+ (/ (/ 1 (- alpha)) (/ 1 (- beta))) (/ (/ 1 (- i)) (/ 1 (- beta)))))) in i
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- i)) (/ 1 (- beta))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in i
* [misc]taylor:  Taking taylor expansion of (- i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in i
* [misc]taylor:  Taking taylor expansion of (- beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]backup-simplify:  Simplify (/ -1 (/ -1 beta)) into beta
* [misc]taylor:  Taking taylor expansion of (* (/ (/ 1 (- i)) (/ 1 (- beta))) (+ (/ (/ 1 (- alpha)) (/ 1 (- beta))) (/ (/ 1 (- i)) (/ 1 (- beta))))) in i
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- i)) (/ 1 (- beta))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in i
* [misc]taylor:  Taking taylor expansion of (- i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in i
* [misc]taylor:  Taking taylor expansion of (- beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]backup-simplify:  Simplify (/ -1 (/ -1 beta)) into beta
* [misc]taylor:  Taking taylor expansion of (+ (/ (/ 1 (- alpha)) (/ 1 (- beta))) (/ (/ 1 (- i)) (/ 1 (- beta)))) in i
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- alpha)) (/ 1 (- beta))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in i
* [misc]taylor:  Taking taylor expansion of (- alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in i
* [misc]taylor:  Taking taylor expansion of (- beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]backup-simplify:  Simplify (/ (/ -1 alpha) (/ -1 beta)) into (/ beta alpha)
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- i)) (/ 1 (- beta))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in i
* [misc]taylor:  Taking taylor expansion of (- i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in i
* [misc]taylor:  Taking taylor expansion of (- beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]backup-simplify:  Simplify (/ -1 (/ -1 beta)) into beta
* [misc]taylor:  Taking taylor expansion of (+ (/ (/ 1 (- i)) (/ 1 (- beta))) (* (/ (/ 1 (- i)) (/ 1 (- beta))) (+ (/ (/ 1 (- alpha)) (/ 1 (- beta))) (/ (/ 1 (- i)) (/ 1 (- beta)))))) in i
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- i)) (/ 1 (- beta))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in i
* [misc]taylor:  Taking taylor expansion of (- i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in i
* [misc]taylor:  Taking taylor expansion of (- beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]backup-simplify:  Simplify (/ -1 (/ -1 beta)) into beta
* [misc]taylor:  Taking taylor expansion of (* (/ (/ 1 (- i)) (/ 1 (- beta))) (+ (/ (/ 1 (- alpha)) (/ 1 (- beta))) (/ (/ 1 (- i)) (/ 1 (- beta))))) in i
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- i)) (/ 1 (- beta))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in i
* [misc]taylor:  Taking taylor expansion of (- i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in i
* [misc]taylor:  Taking taylor expansion of (- beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]backup-simplify:  Simplify (/ -1 (/ -1 beta)) into beta
* [misc]taylor:  Taking taylor expansion of (+ (/ (/ 1 (- alpha)) (/ 1 (- beta))) (/ (/ 1 (- i)) (/ 1 (- beta)))) in i
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- alpha)) (/ 1 (- beta))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in i
* [misc]taylor:  Taking taylor expansion of (- alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in i
* [misc]taylor:  Taking taylor expansion of (- beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]backup-simplify:  Simplify (/ (/ -1 alpha) (/ -1 beta)) into (/ beta alpha)
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- i)) (/ 1 (- beta))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in i
* [misc]taylor:  Taking taylor expansion of (- i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in i
* [misc]taylor:  Taking taylor expansion of (- beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]backup-simplify:  Simplify (/ -1 (/ -1 beta)) into beta
* [misc]backup-simplify:  Simplify (+ 0 beta) into beta
* [misc]backup-simplify:  Simplify (* beta beta) into (sqr beta)
* [misc]backup-simplify:  Simplify (+ 0 (sqr beta)) into (sqr beta)
* [misc]taylor:  Taking taylor expansion of (sqr beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 beta) (/ 0 (- beta))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (/ -1 beta)) (+ (* beta (/ 0 (/ -1 beta))))) into 0
* [misc]backup-simplify:  Simplify (+ (/ beta alpha) 0) into (/ beta alpha)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 beta) (/ 0 (- beta))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (/ -1 beta)) (+ (* beta (/ 0 (/ -1 beta))))) into 0
* [misc]backup-simplify:  Simplify (+ (* beta (/ beta alpha)) (* 0 beta)) into (/ (sqr beta) alpha)
* [misc]backup-simplify:  Simplify (+ beta (/ (sqr beta) alpha)) into (+ beta (/ (sqr beta) alpha))
* [misc]taylor:  Taking taylor expansion of (+ beta (/ (sqr beta) alpha)) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (/ (sqr beta) alpha) in beta
* [misc]taylor:  Taking taylor expansion of (sqr beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]taylor:  Taking taylor expansion of 1 in alpha
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]taylor:  Taking taylor expansion of 1 in alpha
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 beta) (/ 0 (- beta))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (/ -1 beta)) (+ (* beta (/ 0 (/ -1 beta))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 alpha) (/ 0 (- alpha))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 beta) (/ 0 (- beta))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (/ -1 beta)) (+ (* (/ beta alpha) (/ 0 (/ -1 beta))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 beta) (/ 0 (- beta))) (* 0 (/ 0 (- beta))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (/ -1 beta)) (+ (* beta (/ 0 (/ -1 beta))) (* 0 (/ 0 (/ -1 beta))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 beta) (/ 0 (- beta))) (* 0 (/ 0 (- beta))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (/ -1 beta)) (+ (* beta (/ 0 (/ -1 beta))) (* 0 (/ 0 (/ -1 beta))))) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 0) (+ (* 0 (/ beta alpha)) (* 0 beta))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 alpha)) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ (* 1 (sqr (* 1 (* (/ 1 (- beta)) (/ 1 (/ 1 (- i))))))) (+ (* 1 (* 1 (* (/ 1 (- beta)) (/ 1 (/ 1 (- i)))))) (* 1 (* (/ 1 (/ 1 (- alpha))) (* (sqr (/ 1 (- beta))) (/ 1 (/ 1 (- i)))))))) into (+ (/ i beta) (+ (/ (* alpha i) (sqr beta)) (/ (sqr i) (sqr beta))))
* [misc]approximate:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (/ 1 (* beta alpha))) in (i beta alpha) around 0
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (/ 1 (* beta alpha))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha)))
* [misc]approximate:  Taking taylor expansion of (fma (/ 1 (/ 1 i)) (+ (/ 1 (/ 1 i)) (+ (/ 1 (/ 1 beta)) (/ 1 (/ 1 alpha)))) (/ 1 (* (/ 1 beta) (/ 1 alpha)))) in (i beta alpha) around 0
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (/ 1 i)) (+ (/ 1 (/ 1 i)) (+ (/ 1 (/ 1 beta)) (/ 1 (/ 1 alpha)))) (/ 1 (* (/ 1 beta) (/ 1 alpha)))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 (/ 1 i)) (+ (/ 1 (/ 1 i)) (+ (/ 1 (/ 1 beta)) (/ 1 (/ 1 alpha)))) (/ 1 (* (/ 1 beta) (/ 1 alpha)))) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (/ 1 i)) (+ (/ 1 (/ 1 i)) (+ (/ 1 (/ 1 beta)) (/ 1 (/ 1 alpha)))) (/ 1 (* (/ 1 beta) (/ 1 alpha)))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (/ 1 i)) (+ (/ 1 (/ 1 i)) (+ (/ 1 (/ 1 beta)) (/ 1 (/ 1 alpha)))) (/ 1 (* (/ 1 beta) (/ 1 alpha)))) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (/ 1 i)) (+ (/ 1 (/ 1 i)) (+ (/ 1 (/ 1 beta)) (/ 1 (/ 1 alpha)))) (/ 1 (* (/ 1 beta) (/ 1 alpha)))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 (/ 1 i)) (+ (/ 1 (/ 1 i)) (+ (/ 1 (/ 1 beta)) (/ 1 (/ 1 alpha)))) (/ 1 (* (/ 1 beta) (/ 1 alpha)))) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (/ 1 i)) (+ (/ 1 (/ 1 i)) (+ (/ 1 (/ 1 beta)) (/ 1 (/ 1 alpha)))) (/ 1 (* (/ 1 beta) (/ 1 alpha)))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 (/ 1 i)) (+ (/ 1 (/ 1 i)) (+ (/ 1 (/ 1 beta)) (/ 1 (/ 1 alpha)))) (/ 1 (* (/ 1 beta) (/ 1 alpha)))) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in beta
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]approximate:  Taking taylor expansion of (fma (/ 1 (/ 1 (- i))) (+ (/ 1 (/ 1 (- i))) (+ (/ 1 (/ 1 (- beta))) (/ 1 (/ 1 (- alpha))))) (/ 1 (* (/ 1 (- beta)) (/ 1 (- alpha))))) in (i beta alpha) around 0
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (/ 1 (- i))) (+ (/ 1 (/ 1 (- i))) (+ (/ 1 (/ 1 (- beta))) (/ 1 (/ 1 (- alpha))))) (/ 1 (* (/ 1 (- beta)) (/ 1 (- alpha))))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 (/ 1 (- i))) (+ (/ 1 (/ 1 (- i))) (+ (/ 1 (/ 1 (- beta))) (/ 1 (/ 1 (- alpha))))) (/ 1 (* (/ 1 (- beta)) (/ 1 (- alpha))))) into (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (/ 1 (- i))) (+ (/ 1 (/ 1 (- i))) (+ (/ 1 (/ 1 (- beta))) (/ 1 (/ 1 (- alpha))))) (/ 1 (* (/ 1 (- beta)) (/ 1 (- alpha))))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (/ 1 (- i))) (+ (/ 1 (/ 1 (- i))) (+ (/ 1 (/ 1 (- beta))) (/ 1 (/ 1 (- alpha))))) (/ 1 (* (/ 1 (- beta)) (/ 1 (- alpha))))) into (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (/ 1 (- i))) (+ (/ 1 (/ 1 (- i))) (+ (/ 1 (/ 1 (- beta))) (/ 1 (/ 1 (- alpha))))) (/ 1 (* (/ 1 (- beta)) (/ 1 (- alpha))))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 (/ 1 (- i))) (+ (/ 1 (/ 1 (- i))) (+ (/ 1 (/ 1 (- beta))) (/ 1 (/ 1 (- alpha))))) (/ 1 (* (/ 1 (- beta)) (/ 1 (- alpha))))) into (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (/ 1 (- i))) (+ (/ 1 (/ 1 (- i))) (+ (/ 1 (/ 1 (- beta))) (/ 1 (/ 1 (- alpha))))) (/ 1 (* (/ 1 (- beta)) (/ 1 (- alpha))))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 (/ 1 (- i))) (+ (/ 1 (/ 1 (- i))) (+ (/ 1 (/ 1 (- beta))) (/ 1 (/ 1 (- alpha))))) (/ 1 (* (/ 1 (- beta)) (/ 1 (- alpha))))) into (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) in beta
* [misc]backup-simplify:  Simplify (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) into (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) into (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))
* [misc]backup-simplify:  Simplify (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) into (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) into (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))
* * * [misc]progress:  tayloring alt 4 of 10
* [misc]approximate:  Taking taylor expansion of (/ (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) (fma i (+ (+ alpha i) beta) (* alpha beta))) in (i alpha beta) around 0
* [misc]taylor:  Taking taylor expansion of (/ (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) (fma i (+ (+ alpha i) beta) (* alpha beta))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) in beta
* [misc]backup-simplify:  Simplify (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) into (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0))
* [misc]taylor:  Taking taylor expansion of (fma i (+ (+ alpha i) beta) (* alpha beta)) in beta
* [misc]backup-simplify:  Simplify (fma i (+ (+ alpha i) beta) (* alpha beta)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]backup-simplify:  Simplify (/ (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) (fma i (+ beta (+ alpha i)) (* beta alpha))) into (/ (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) (fma i (+ beta (+ alpha i)) (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) (fma i (+ (+ alpha i) beta) (* alpha beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) in alpha
* [misc]backup-simplify:  Simplify (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) into (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0))
* [misc]taylor:  Taking taylor expansion of (fma i (+ (+ alpha i) beta) (* alpha beta)) in alpha
* [misc]backup-simplify:  Simplify (fma i (+ (+ alpha i) beta) (* alpha beta)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]backup-simplify:  Simplify (/ (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) (fma i (+ beta (+ alpha i)) (* beta alpha))) into (/ (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) (fma i (+ beta (+ alpha i)) (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) (fma i (+ (+ alpha i) beta) (* alpha beta))) in i
* [misc]taylor:  Taking taylor expansion of (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) in i
* [misc]backup-simplify:  Simplify (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) into (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0))
* [misc]taylor:  Taking taylor expansion of (fma i (+ (+ alpha i) beta) (* alpha beta)) in i
* [misc]backup-simplify:  Simplify (fma i (+ (+ alpha i) beta) (* alpha beta)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]backup-simplify:  Simplify (/ (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) (fma i (+ beta (+ alpha i)) (* beta alpha))) into (/ (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) (fma i (+ beta (+ alpha i)) (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) (fma i (+ (+ alpha i) beta) (* alpha beta))) in i
* [misc]taylor:  Taking taylor expansion of (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) in i
* [misc]backup-simplify:  Simplify (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) into (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0))
* [misc]taylor:  Taking taylor expansion of (fma i (+ (+ alpha i) beta) (* alpha beta)) in i
* [misc]backup-simplify:  Simplify (fma i (+ (+ alpha i) beta) (* alpha beta)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]backup-simplify:  Simplify (/ (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) (fma i (+ beta (+ alpha i)) (* beta alpha))) into (/ (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) (fma i (+ beta (+ alpha i)) (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) (fma i (+ beta (+ alpha i)) (* beta alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) in alpha
* [misc]backup-simplify:  Simplify (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) into (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0))
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]backup-simplify:  Simplify (/ (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) (fma i (+ beta (+ alpha i)) (* beta alpha))) into (/ (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) (fma i (+ beta (+ alpha i)) (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) (fma i (+ beta (+ alpha i)) (* beta alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) in beta
* [misc]backup-simplify:  Simplify (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) into (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0))
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in beta
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]backup-simplify:  Simplify (/ (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) (fma i (+ beta (+ alpha i)) (* beta alpha))) into (/ (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) (fma i (+ beta (+ alpha i)) (* beta alpha)))
* [misc]backup-simplify:  Simplify (/ (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) (fma i (+ beta (+ alpha i)) (* beta alpha))) into (/ (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) (fma i (+ beta (+ alpha i)) (* beta alpha)))
* [misc]backup-simplify:  Simplify (- (/ 0 (fma i (+ beta (+ alpha i)) (* beta alpha))) (+ (* (/ (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) (fma i (+ beta (+ alpha i)) (* beta alpha))) (/ 0 (fma i (+ beta (+ alpha i)) (* beta alpha)))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (fma i (+ beta (+ alpha i)) (* beta alpha))) (+ (* (/ (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) (fma i (+ beta (+ alpha i)) (* beta alpha))) (/ 0 (fma i (+ beta (+ alpha i)) (* beta alpha)))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (fma i (+ beta (+ alpha i)) (* beta alpha))) (+ (* (/ (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) (fma i (+ beta (+ alpha i)) (* beta alpha))) (/ 0 (fma i (+ beta (+ alpha i)) (* beta alpha)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (fma i (+ beta (+ alpha i)) (* beta alpha))) (+ (* (/ (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) (fma i (+ beta (+ alpha i)) (* beta alpha))) (/ 0 (fma i (+ beta (+ alpha i)) (* beta alpha)))) (* 0 (/ 0 (fma i (+ beta (+ alpha i)) (* beta alpha)))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (fma i (+ beta (+ alpha i)) (* beta alpha))) (+ (* (/ (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) (fma i (+ beta (+ alpha i)) (* beta alpha))) (/ 0 (fma i (+ beta (+ alpha i)) (* beta alpha)))) (* 0 (/ 0 (fma i (+ beta (+ alpha i)) (* beta alpha)))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) (fma i (+ beta (+ alpha i)) (* beta alpha))) into (/ (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) (fma i (+ beta (+ alpha i)) (* beta alpha)))
* [misc]approximate:  Taking taylor expansion of (/ (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (sqr (/ 1 beta)) 1.0)) (fma (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (* (/ 1 alpha) (/ 1 beta)))) in (i alpha beta) around 0
* [misc]taylor:  Taking taylor expansion of (/ (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (sqr (/ 1 beta)) 1.0)) (fma (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (* (/ 1 alpha) (/ 1 beta)))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (sqr (/ 1 beta)) 1.0)) in beta
* [misc]backup-simplify:  Simplify (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (sqr (/ 1 beta)) 1.0)) into (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (* (/ 1 alpha) (/ 1 beta))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (* (/ 1 alpha) (/ 1 beta))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (/ (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha)))) into (/ (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))))
* [misc]taylor:  Taking taylor expansion of (/ (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (sqr (/ 1 beta)) 1.0)) (fma (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (* (/ 1 alpha) (/ 1 beta)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (sqr (/ 1 beta)) 1.0)) in alpha
* [misc]backup-simplify:  Simplify (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (sqr (/ 1 beta)) 1.0)) into (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (* (/ 1 alpha) (/ 1 beta))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (* (/ 1 alpha) (/ 1 beta))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (/ (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha)))) into (/ (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))))
* [misc]taylor:  Taking taylor expansion of (/ (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (sqr (/ 1 beta)) 1.0)) (fma (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (* (/ 1 alpha) (/ 1 beta)))) in i
* [misc]taylor:  Taking taylor expansion of (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (sqr (/ 1 beta)) 1.0)) in i
* [misc]backup-simplify:  Simplify (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (sqr (/ 1 beta)) 1.0)) into (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (* (/ 1 alpha) (/ 1 beta))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (* (/ 1 alpha) (/ 1 beta))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (/ (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha)))) into (/ (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))))
* [misc]taylor:  Taking taylor expansion of (/ (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (sqr (/ 1 beta)) 1.0)) (fma (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (* (/ 1 alpha) (/ 1 beta)))) in i
* [misc]taylor:  Taking taylor expansion of (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (sqr (/ 1 beta)) 1.0)) in i
* [misc]backup-simplify:  Simplify (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (sqr (/ 1 beta)) 1.0)) into (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (* (/ 1 alpha) (/ 1 beta))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (* (/ 1 alpha) (/ 1 beta))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (/ (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha)))) into (/ (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))))
* [misc]taylor:  Taking taylor expansion of (/ (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)) in alpha
* [misc]backup-simplify:  Simplify (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)) into (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (/ (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha)))) into (/ (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))))
* [misc]taylor:  Taking taylor expansion of (/ (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)) in beta
* [misc]backup-simplify:  Simplify (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)) into (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (/ (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha)))) into (/ (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (/ (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha)))) into (/ (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (- (/ 0 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha)))) (+ (* (/ (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha)))) (/ 0 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha)))) (+ (* (/ (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha)))) (/ 0 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha)))) (+ (* (/ (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha)))) (/ 0 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha)))) (+ (* (/ (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha)))) (/ 0 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))))) (* 0 (/ 0 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha)))) (+ (* (/ (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha)))) (/ 0 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))))) (* 0 (/ 0 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha)))) into (/ (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))))
* [misc]approximate:  Taking taylor expansion of (/ (fma (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (fma (/ 1 (- beta)) 2 (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) (- (sqr (/ 1 (- beta))) 1.0)) (fma (/ 1 (- i)) (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) in (i alpha beta) around 0
* [misc]taylor:  Taking taylor expansion of (/ (fma (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (fma (/ 1 (- beta)) 2 (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) (- (sqr (/ 1 (- beta))) 1.0)) (fma (/ 1 (- i)) (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (fma (/ 1 (- beta)) 2 (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) (- (sqr (/ 1 (- beta))) 1.0)) in beta
* [misc]backup-simplify:  Simplify (fma (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (fma (/ 1 (- beta)) 2 (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) (- (sqr (/ 1 (- beta))) 1.0)) into (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 beta) 2 (fma (/ -1 i) 2 (/ -1 alpha))) (- (/ 1 (sqr beta)) 1.0))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (* (/ 1 (- alpha)) (/ 1 (- beta)))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (* (/ 1 (- alpha)) (/ 1 (- beta)))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (/ (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 beta) 2 (fma (/ -1 i) 2 (/ -1 alpha))) (- (/ 1 (sqr beta)) 1.0)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) into (/ (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 beta) 2 (fma (/ -1 i) 2 (/ -1 alpha))) (- (/ 1 (sqr beta)) 1.0)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]taylor:  Taking taylor expansion of (/ (fma (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (fma (/ 1 (- beta)) 2 (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) (- (sqr (/ 1 (- beta))) 1.0)) (fma (/ 1 (- i)) (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (fma (/ 1 (- beta)) 2 (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) (- (sqr (/ 1 (- beta))) 1.0)) in alpha
* [misc]backup-simplify:  Simplify (fma (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (fma (/ 1 (- beta)) 2 (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) (- (sqr (/ 1 (- beta))) 1.0)) into (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 beta) 2 (fma (/ -1 i) 2 (/ -1 alpha))) (- (/ 1 (sqr beta)) 1.0))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (* (/ 1 (- alpha)) (/ 1 (- beta)))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (* (/ 1 (- alpha)) (/ 1 (- beta)))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (/ (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 beta) 2 (fma (/ -1 i) 2 (/ -1 alpha))) (- (/ 1 (sqr beta)) 1.0)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) into (/ (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 beta) 2 (fma (/ -1 i) 2 (/ -1 alpha))) (- (/ 1 (sqr beta)) 1.0)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]taylor:  Taking taylor expansion of (/ (fma (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (fma (/ 1 (- beta)) 2 (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) (- (sqr (/ 1 (- beta))) 1.0)) (fma (/ 1 (- i)) (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) in i
* [misc]taylor:  Taking taylor expansion of (fma (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (fma (/ 1 (- beta)) 2 (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) (- (sqr (/ 1 (- beta))) 1.0)) in i
* [misc]backup-simplify:  Simplify (fma (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (fma (/ 1 (- beta)) 2 (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) (- (sqr (/ 1 (- beta))) 1.0)) into (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 beta) 2 (fma (/ -1 i) 2 (/ -1 alpha))) (- (/ 1 (sqr beta)) 1.0))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (* (/ 1 (- alpha)) (/ 1 (- beta)))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (* (/ 1 (- alpha)) (/ 1 (- beta)))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (/ (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 beta) 2 (fma (/ -1 i) 2 (/ -1 alpha))) (- (/ 1 (sqr beta)) 1.0)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) into (/ (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 beta) 2 (fma (/ -1 i) 2 (/ -1 alpha))) (- (/ 1 (sqr beta)) 1.0)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]taylor:  Taking taylor expansion of (/ (fma (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (fma (/ 1 (- beta)) 2 (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) (- (sqr (/ 1 (- beta))) 1.0)) (fma (/ 1 (- i)) (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) in i
* [misc]taylor:  Taking taylor expansion of (fma (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (fma (/ 1 (- beta)) 2 (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) (- (sqr (/ 1 (- beta))) 1.0)) in i
* [misc]backup-simplify:  Simplify (fma (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (fma (/ 1 (- beta)) 2 (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) (- (sqr (/ 1 (- beta))) 1.0)) into (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 beta) 2 (fma (/ -1 i) 2 (/ -1 alpha))) (- (/ 1 (sqr beta)) 1.0))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (* (/ 1 (- alpha)) (/ 1 (- beta)))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (* (/ 1 (- alpha)) (/ 1 (- beta)))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (/ (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 beta) 2 (fma (/ -1 i) 2 (/ -1 alpha))) (- (/ 1 (sqr beta)) 1.0)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) into (/ (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 beta) 2 (fma (/ -1 i) 2 (/ -1 alpha))) (- (/ 1 (sqr beta)) 1.0)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]taylor:  Taking taylor expansion of (/ (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 beta) 2 (fma (/ -1 i) 2 (/ -1 alpha))) (- (/ 1 (sqr beta)) 1.0)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 beta) 2 (fma (/ -1 i) 2 (/ -1 alpha))) (- (/ 1 (sqr beta)) 1.0)) in alpha
* [misc]backup-simplify:  Simplify (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 beta) 2 (fma (/ -1 i) 2 (/ -1 alpha))) (- (/ 1 (sqr beta)) 1.0)) into (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 beta) 2 (fma (/ -1 i) 2 (/ -1 alpha))) (- (/ 1 (sqr beta)) 1.0))
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (/ (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 beta) 2 (fma (/ -1 i) 2 (/ -1 alpha))) (- (/ 1 (sqr beta)) 1.0)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) into (/ (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 beta) 2 (fma (/ -1 i) 2 (/ -1 alpha))) (- (/ 1 (sqr beta)) 1.0)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]taylor:  Taking taylor expansion of (/ (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 beta) 2 (fma (/ -1 i) 2 (/ -1 alpha))) (- (/ 1 (sqr beta)) 1.0)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 beta) 2 (fma (/ -1 i) 2 (/ -1 alpha))) (- (/ 1 (sqr beta)) 1.0)) in beta
* [misc]backup-simplify:  Simplify (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 beta) 2 (fma (/ -1 i) 2 (/ -1 alpha))) (- (/ 1 (sqr beta)) 1.0)) into (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 beta) 2 (fma (/ -1 i) 2 (/ -1 alpha))) (- (/ 1 (sqr beta)) 1.0))
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in beta
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (/ (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 beta) 2 (fma (/ -1 i) 2 (/ -1 alpha))) (- (/ 1 (sqr beta)) 1.0)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) into (/ (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 beta) 2 (fma (/ -1 i) 2 (/ -1 alpha))) (- (/ 1 (sqr beta)) 1.0)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (/ (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 beta) 2 (fma (/ -1 i) 2 (/ -1 alpha))) (- (/ 1 (sqr beta)) 1.0)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) into (/ (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 beta) 2 (fma (/ -1 i) 2 (/ -1 alpha))) (- (/ 1 (sqr beta)) 1.0)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (- (/ 0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (+ (* (/ (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 beta) 2 (fma (/ -1 i) 2 (/ -1 alpha))) (- (/ 1 (sqr beta)) 1.0)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (/ 0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (+ (* (/ (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 beta) 2 (fma (/ -1 i) 2 (/ -1 alpha))) (- (/ 1 (sqr beta)) 1.0)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (/ 0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (+ (* (/ (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 beta) 2 (fma (/ -1 i) 2 (/ -1 alpha))) (- (/ 1 (sqr beta)) 1.0)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (/ 0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (+ (* (/ (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 beta) 2 (fma (/ -1 i) 2 (/ -1 alpha))) (- (/ 1 (sqr beta)) 1.0)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (/ 0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (* 0 (/ 0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (+ (* (/ (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 beta) 2 (fma (/ -1 i) 2 (/ -1 alpha))) (- (/ 1 (sqr beta)) 1.0)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (/ 0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (* 0 (/ 0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 beta) 2 (fma (/ -1 i) 2 (/ -1 alpha))) (- (/ 1 (sqr beta)) 1.0)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) into (/ (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 beta) 2 (fma (/ -1 i) 2 (/ -1 alpha))) (- (/ 1 (sqr beta)) 1.0)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]approximate:  Taking taylor expansion of (/ (* (/ i (+ (fma i 2 alpha) beta)) (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta))) (/ (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) (fma i (+ (+ alpha i) beta) (* alpha beta)))) in (i alpha beta) around 0
* [misc]taylor:  Taking taylor expansion of (/ (* (/ i (+ (fma i 2 alpha) beta)) (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta))) (/ (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) (fma i (+ (+ alpha i) beta) (* alpha beta)))) in beta
* [misc]taylor:  Taking taylor expansion of (* (/ i (+ (fma i 2 alpha) beta)) (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta))) in beta
* [misc]taylor:  Taking taylor expansion of (/ i (+ (fma i 2 alpha) beta)) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (+ (fma i 2 alpha) beta) in beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in beta
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ (fma i 2 alpha) 0) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (/ i (fma i 2 alpha)) into (/ i (fma i 2 alpha))
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ alpha i) beta) in beta
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ (fma i 2 alpha) beta) in beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in beta
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ alpha i) into (+ alpha i)
* [misc]backup-simplify:  Simplify (+ (+ alpha i) 0) into (+ alpha i)
* [misc]backup-simplify:  Simplify (+ (fma i 2 alpha) 0) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (/ (+ alpha i) (fma i 2 alpha)) into (/ (+ alpha i) (fma i 2 alpha))
* [misc]taylor:  Taking taylor expansion of (/ (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) (fma i (+ (+ alpha i) beta) (* alpha beta))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) in beta
* [misc]backup-simplify:  Simplify (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) into (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0))
* [misc]taylor:  Taking taylor expansion of (fma i (+ (+ alpha i) beta) (* alpha beta)) in beta
* [misc]backup-simplify:  Simplify (fma i (+ (+ alpha i) beta) (* alpha beta)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]backup-simplify:  Simplify (/ (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) (fma i (+ beta (+ alpha i)) (* beta alpha))) into (/ (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) (fma i (+ beta (+ alpha i)) (* beta alpha)))
* [misc]backup-simplify:  Simplify (* (/ i (fma i 2 alpha)) (/ (+ alpha i) (fma i 2 alpha))) into (/ (* (+ alpha i) i) (sqr (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (/ (/ (* (+ alpha i) i) (sqr (fma i 2 alpha))) (/ (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) (fma i (+ beta (+ alpha i)) (* beta alpha)))) into (/ (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (* (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) (sqr (fma i 2 alpha))))
* [misc]taylor:  Taking taylor expansion of (/ (* (/ i (+ (fma i 2 alpha) beta)) (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta))) (/ (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) (fma i (+ (+ alpha i) beta) (* alpha beta)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (/ i (+ (fma i 2 alpha) beta)) (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ i (+ (fma i 2 alpha) beta)) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (+ (fma i 2 alpha) beta) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (+ (fma i 2 alpha) beta) into (+ beta (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (/ i (+ beta (fma i 2 alpha))) into (/ i (+ beta (fma i 2 alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ alpha i) beta) in alpha
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (+ (fma i 2 alpha) beta) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (+ 0 i) into i
* [misc]backup-simplify:  Simplify (+ i beta) into (+ beta i)
* [misc]backup-simplify:  Simplify (+ (fma i 2 alpha) beta) into (+ beta (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (/ (+ beta i) (+ beta (fma i 2 alpha))) into (/ (+ beta i) (+ beta (fma i 2 alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) (fma i (+ (+ alpha i) beta) (* alpha beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) in alpha
* [misc]backup-simplify:  Simplify (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) into (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0))
* [misc]taylor:  Taking taylor expansion of (fma i (+ (+ alpha i) beta) (* alpha beta)) in alpha
* [misc]backup-simplify:  Simplify (fma i (+ (+ alpha i) beta) (* alpha beta)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]backup-simplify:  Simplify (/ (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) (fma i (+ beta (+ alpha i)) (* beta alpha))) into (/ (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) (fma i (+ beta (+ alpha i)) (* beta alpha)))
* [misc]backup-simplify:  Simplify (* (/ i (+ beta (fma i 2 alpha))) (/ (+ beta i) (+ beta (fma i 2 alpha)))) into (/ (* i (+ beta i)) (sqr (+ beta (fma i 2 alpha))))
* [misc]backup-simplify:  Simplify (/ (/ (* i (+ beta i)) (sqr (+ beta (fma i 2 alpha)))) (/ (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) (fma i (+ beta (+ alpha i)) (* beta alpha)))) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* i (+ beta i))) (* (sqr (+ beta (fma i 2 alpha))) (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0))))
* [misc]taylor:  Taking taylor expansion of (/ (* (/ i (+ (fma i 2 alpha) beta)) (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta))) (/ (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) (fma i (+ (+ alpha i) beta) (* alpha beta)))) in i
* [misc]taylor:  Taking taylor expansion of (* (/ i (+ (fma i 2 alpha) beta)) (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta))) in i
* [misc]taylor:  Taking taylor expansion of (/ i (+ (fma i 2 alpha) beta)) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ (fma i 2 alpha) beta) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (+ (fma i 2 alpha) beta) into (+ beta (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (/ 1 (+ beta (fma i 2 alpha))) into (/ 1 (+ beta (fma i 2 alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) in i
* [misc]taylor:  Taking taylor expansion of (+ (+ alpha i) beta) in i
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (+ (fma i 2 alpha) beta) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (+ alpha 0) into alpha
* [misc]backup-simplify:  Simplify (+ alpha beta) into (+ beta alpha)
* [misc]backup-simplify:  Simplify (+ (fma i 2 alpha) beta) into (+ beta (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (/ (+ beta alpha) (+ beta (fma i 2 alpha))) into (/ (+ beta alpha) (+ beta (fma i 2 alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) (fma i (+ (+ alpha i) beta) (* alpha beta))) in i
* [misc]taylor:  Taking taylor expansion of (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) in i
* [misc]backup-simplify:  Simplify (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) into (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0))
* [misc]taylor:  Taking taylor expansion of (fma i (+ (+ alpha i) beta) (* alpha beta)) in i
* [misc]backup-simplify:  Simplify (fma i (+ (+ alpha i) beta) (* alpha beta)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]backup-simplify:  Simplify (/ (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) (fma i (+ beta (+ alpha i)) (* beta alpha))) into (/ (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) (fma i (+ beta (+ alpha i)) (* beta alpha)))
* [misc]backup-simplify:  Simplify (* (/ 1 (+ beta (fma i 2 alpha))) (/ (+ beta alpha) (+ beta (fma i 2 alpha)))) into (/ (+ beta alpha) (sqr (+ beta (fma i 2 alpha))))
* [misc]backup-simplify:  Simplify (/ (/ (+ beta alpha) (sqr (+ beta (fma i 2 alpha)))) (/ (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) (fma i (+ beta (+ alpha i)) (* beta alpha)))) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (+ beta alpha)) (* (sqr (+ beta (fma i 2 alpha))) (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0))))
* [misc]taylor:  Taking taylor expansion of (/ (* (/ i (+ (fma i 2 alpha) beta)) (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta))) (/ (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) (fma i (+ (+ alpha i) beta) (* alpha beta)))) in i
* [misc]taylor:  Taking taylor expansion of (* (/ i (+ (fma i 2 alpha) beta)) (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta))) in i
* [misc]taylor:  Taking taylor expansion of (/ i (+ (fma i 2 alpha) beta)) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ (fma i 2 alpha) beta) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (+ (fma i 2 alpha) beta) into (+ beta (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (/ 1 (+ beta (fma i 2 alpha))) into (/ 1 (+ beta (fma i 2 alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) in i
* [misc]taylor:  Taking taylor expansion of (+ (+ alpha i) beta) in i
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (+ (fma i 2 alpha) beta) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (+ alpha 0) into alpha
* [misc]backup-simplify:  Simplify (+ alpha beta) into (+ beta alpha)
* [misc]backup-simplify:  Simplify (+ (fma i 2 alpha) beta) into (+ beta (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (/ (+ beta alpha) (+ beta (fma i 2 alpha))) into (/ (+ beta alpha) (+ beta (fma i 2 alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) (fma i (+ (+ alpha i) beta) (* alpha beta))) in i
* [misc]taylor:  Taking taylor expansion of (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) in i
* [misc]backup-simplify:  Simplify (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) into (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0))
* [misc]taylor:  Taking taylor expansion of (fma i (+ (+ alpha i) beta) (* alpha beta)) in i
* [misc]backup-simplify:  Simplify (fma i (+ (+ alpha i) beta) (* alpha beta)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]backup-simplify:  Simplify (/ (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) (fma i (+ beta (+ alpha i)) (* beta alpha))) into (/ (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) (fma i (+ beta (+ alpha i)) (* beta alpha)))
* [misc]backup-simplify:  Simplify (* (/ 1 (+ beta (fma i 2 alpha))) (/ (+ beta alpha) (+ beta (fma i 2 alpha)))) into (/ (+ beta alpha) (sqr (+ beta (fma i 2 alpha))))
* [misc]backup-simplify:  Simplify (/ (/ (+ beta alpha) (sqr (+ beta (fma i 2 alpha)))) (/ (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) (fma i (+ beta (+ alpha i)) (* beta alpha)))) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (+ beta alpha)) (* (sqr (+ beta (fma i 2 alpha))) (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0))))
* [misc]taylor:  Taking taylor expansion of (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (+ beta alpha)) (* (sqr (+ beta (fma i 2 alpha))) (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (+ beta alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (+ beta alpha) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (sqr (+ beta (fma i 2 alpha))) (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (+ beta (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) in alpha
* [misc]backup-simplify:  Simplify (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) into (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0))
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) beta) into (* (fma i (+ beta (+ alpha i)) (* beta alpha)) beta)
* [misc]backup-simplify:  Simplify (+ beta (fma i 2 alpha)) into (+ beta (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* (+ beta (fma i 2 alpha)) (+ beta (fma i 2 alpha))) into (sqr (+ beta (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (* (sqr (+ beta (fma i 2 alpha))) (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0))) into (* (sqr (+ beta (fma i 2 alpha))) (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)))
* [misc]backup-simplify:  Simplify (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) beta) (* (sqr (+ beta (fma i 2 alpha))) (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)))) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) beta) (* (sqr (+ beta (fma i 2 alpha))) (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0))))
* [misc]taylor:  Taking taylor expansion of (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) beta) (* (sqr (+ beta (fma i 2 alpha))) (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)))) in beta
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) beta) in beta
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in beta
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (sqr (+ beta (fma i 2 alpha))) (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0))) in beta
* [misc]taylor:  Taking taylor expansion of (sqr (+ beta (fma i 2 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in beta
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) in beta
* [misc]backup-simplify:  Simplify (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) into (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0))
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 1) (* 0 0)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]backup-simplify:  Simplify (+ 0 (fma i 2 alpha)) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* (sqr (fma i 2 alpha)) (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0))) into (* (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) (sqr (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) (sqr (fma i 2 alpha)))) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) (sqr (fma i 2 alpha))))
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 1 (+ beta (fma i 2 alpha))) (+ (* (/ (+ beta alpha) (+ beta (fma i 2 alpha))) (/ 0 (+ beta (fma i 2 alpha)))))) into (/ 1 (+ beta (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ beta (fma i 2 alpha))) (+ (* (/ 1 (+ beta (fma i 2 alpha))) (/ 0 (+ beta (fma i 2 alpha)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 (+ beta (fma i 2 alpha))) (/ 1 (+ beta (fma i 2 alpha)))) (* 0 (/ (+ beta alpha) (+ beta (fma i 2 alpha))))) into (/ 1 (sqr (+ beta (fma i 2 alpha))))
* [misc]backup-simplify:  Simplify (- (/ 0 (fma i (+ beta (+ alpha i)) (* beta alpha))) (+ (* (/ (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) (fma i (+ beta (+ alpha i)) (* beta alpha))) (/ 0 (fma i (+ beta (+ alpha i)) (* beta alpha)))))) into 0
* [misc]backup-simplify:  Simplify (- (/ (/ 1 (sqr (+ beta (fma i 2 alpha)))) (/ (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) (fma i (+ beta (+ alpha i)) (* beta alpha)))) (+ (* (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (+ beta alpha)) (* (sqr (+ beta (fma i 2 alpha))) (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)))) (/ 0 (/ (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) (fma i (+ beta (+ alpha i)) (* beta alpha))))))) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr (+ beta (fma i 2 alpha))) (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0))))
* [misc]taylor:  Taking taylor expansion of (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr (+ beta (fma i 2 alpha))) (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (* (sqr (+ beta (fma i 2 alpha))) (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (+ beta (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) in alpha
* [misc]backup-simplify:  Simplify (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) into (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0))
* [misc]backup-simplify:  Simplify (+ beta (fma i 2 alpha)) into (+ beta (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* (+ beta (fma i 2 alpha)) (+ beta (fma i 2 alpha))) into (sqr (+ beta (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (* (sqr (+ beta (fma i 2 alpha))) (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0))) into (* (sqr (+ beta (fma i 2 alpha))) (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)))
* [misc]backup-simplify:  Simplify (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr (+ beta (fma i 2 alpha))) (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)))) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr (+ beta (fma i 2 alpha))) (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0))))
* [misc]taylor:  Taking taylor expansion of (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr (+ beta (fma i 2 alpha))) (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)))) in beta
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in beta
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (* (sqr (+ beta (fma i 2 alpha))) (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0))) in beta
* [misc]taylor:  Taking taylor expansion of (sqr (+ beta (fma i 2 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in beta
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) in beta
* [misc]backup-simplify:  Simplify (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) into (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0))
* [misc]backup-simplify:  Simplify (+ 0 (fma i 2 alpha)) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* (sqr (fma i 2 alpha)) (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0))) into (* (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) (sqr (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) (sqr (fma i 2 alpha)))) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) (sqr (fma i 2 alpha))))
* [misc]backup-simplify:  Simplify (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) (sqr (fma i 2 alpha)))) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) (sqr (fma i 2 alpha))))
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 1) (* 0 beta)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ beta (fma i 2 alpha)) 0) (* 0 (+ beta (fma i 2 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (+ beta (fma i 2 alpha))) 0) (* 0 (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)))) into 0
* [misc]backup-simplify:  Simplify (- (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr (+ beta (fma i 2 alpha))) (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)))) (+ (* (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) beta) (* (sqr (+ beta (fma i 2 alpha))) (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)))) (/ 0 (* (sqr (+ beta (fma i 2 alpha))) (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0))))))) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr (+ beta (fma i 2 alpha))) (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0))))
* [misc]taylor:  Taking taylor expansion of (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr (+ beta (fma i 2 alpha))) (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)))) in beta
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in beta
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (* (sqr (+ beta (fma i 2 alpha))) (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0))) in beta
* [misc]taylor:  Taking taylor expansion of (sqr (+ beta (fma i 2 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in beta
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) in beta
* [misc]backup-simplify:  Simplify (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) into (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0))
* [misc]backup-simplify:  Simplify (+ 0 (fma i 2 alpha)) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* (sqr (fma i 2 alpha)) (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0))) into (* (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) (sqr (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) (sqr (fma i 2 alpha)))) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) (sqr (fma i 2 alpha))))
* [misc]backup-simplify:  Simplify (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) (sqr (fma i 2 alpha)))) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) (sqr (fma i 2 alpha))))
* [misc]backup-simplify:  Simplify (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) (sqr (fma i 2 alpha)))) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) (sqr (fma i 2 alpha))))
* [misc]backup-simplify:  Simplify (+ (* (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) (sqr (fma i 2 alpha)))) (* beta (* 1 i))) (+ (* (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) (sqr (fma i 2 alpha)))) (* 1 (* alpha i))) (* (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) (sqr (fma i 2 alpha)))) (sqr (* 1 (* 1 i)))))) into (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (* (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) (sqr (fma i 2 alpha)))) (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) (sqr (fma i 2 alpha)))) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* beta i)) (* (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) (sqr (fma i 2 alpha))))))
* [misc]approximate:  Taking taylor expansion of (/ (* (/ (/ 1 i) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta))) (/ (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)))) (/ (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (sqr (/ 1 beta)) 1.0)) (fma (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (* (/ 1 alpha) (/ 1 beta))))) in (i alpha beta) around 0
* [misc]taylor:  Taking taylor expansion of (/ (* (/ (/ 1 i) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta))) (/ (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)))) (/ (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (sqr (/ 1 beta)) 1.0)) (fma (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (* (/ 1 alpha) (/ 1 beta))))) in beta
* [misc]taylor:  Taking taylor expansion of (* (/ (/ 1 i) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta))) (/ (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 i) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (/ (/ 1 i) 1) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 alpha) (/ 1 i)) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (sqr (/ 1 beta)) 1.0)) (fma (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (* (/ 1 alpha) (/ 1 beta)))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (sqr (/ 1 beta)) 1.0)) in beta
* [misc]backup-simplify:  Simplify (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (sqr (/ 1 beta)) 1.0)) into (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (* (/ 1 alpha) (/ 1 beta))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (* (/ 1 alpha) (/ 1 beta))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (/ (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha)))) into (/ (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (* (/ 1 i) 1) into (/ 1 i)
* [misc]backup-simplify:  Simplify (/ (/ 1 i) (/ (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))))) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))) (* i (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0))))
* [misc]taylor:  Taking taylor expansion of (/ (* (/ (/ 1 i) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta))) (/ (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)))) (/ (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (sqr (/ 1 beta)) 1.0)) (fma (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (* (/ 1 alpha) (/ 1 beta))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (/ (/ 1 i) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta))) (/ (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 i) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]backup-simplify:  Simplify (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) into (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) into (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 alpha) (/ 1 i)) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) into (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) into (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (/ (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (sqr (/ 1 beta)) 1.0)) (fma (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (* (/ 1 alpha) (/ 1 beta)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (sqr (/ 1 beta)) 1.0)) in alpha
* [misc]backup-simplify:  Simplify (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (sqr (/ 1 beta)) 1.0)) into (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (* (/ 1 alpha) (/ 1 beta))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (* (/ 1 alpha) (/ 1 beta))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (/ (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha)))) into (/ (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (* (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i)) (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) into (/ 1 (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i))
* [misc]backup-simplify:  Simplify (/ (/ 1 (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i)) (/ (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))))) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))) (* (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i)))
* [misc]taylor:  Taking taylor expansion of (/ (* (/ (/ 1 i) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta))) (/ (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)))) (/ (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (sqr (/ 1 beta)) 1.0)) (fma (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (* (/ 1 alpha) (/ 1 beta))))) in i
* [misc]taylor:  Taking taylor expansion of (* (/ (/ 1 i) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta))) (/ (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)))) in i
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 i) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]backup-simplify:  Simplify (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) into (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) into (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta))) in i
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) in i
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 alpha) (/ 1 i)) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) into (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) into (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (/ (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (sqr (/ 1 beta)) 1.0)) (fma (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (* (/ 1 alpha) (/ 1 beta)))) in i
* [misc]taylor:  Taking taylor expansion of (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (sqr (/ 1 beta)) 1.0)) in i
* [misc]backup-simplify:  Simplify (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (sqr (/ 1 beta)) 1.0)) into (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (* (/ 1 alpha) (/ 1 beta))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (* (/ 1 alpha) (/ 1 beta))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (/ (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha)))) into (/ (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (* (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) into (/ 1 (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (/ (/ 1 (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (/ (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))))) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0))))
* [misc]taylor:  Taking taylor expansion of (/ (* (/ (/ 1 i) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta))) (/ (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)))) (/ (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (sqr (/ 1 beta)) 1.0)) (fma (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (* (/ 1 alpha) (/ 1 beta))))) in i
* [misc]taylor:  Taking taylor expansion of (* (/ (/ 1 i) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta))) (/ (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)))) in i
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 i) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]backup-simplify:  Simplify (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) into (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) into (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta))) in i
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) in i
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 alpha) (/ 1 i)) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) into (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) into (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (/ (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (sqr (/ 1 beta)) 1.0)) (fma (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (* (/ 1 alpha) (/ 1 beta)))) in i
* [misc]taylor:  Taking taylor expansion of (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (sqr (/ 1 beta)) 1.0)) in i
* [misc]backup-simplify:  Simplify (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (sqr (/ 1 beta)) 1.0)) into (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (* (/ 1 alpha) (/ 1 beta))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (* (/ 1 alpha) (/ 1 beta))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (/ (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha)))) into (/ (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (* (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) into (/ 1 (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (/ (/ 1 (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (/ (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))))) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0))))
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)) in alpha
* [misc]backup-simplify:  Simplify (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)) into (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0))
* [misc]backup-simplify:  Simplify (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) into (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) into (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0))) into (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)))
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)))) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))) (* (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)) (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (/ 1 alpha) 0) into (/ 1 alpha)
* [misc]backup-simplify:  Simplify (+ (/ 1 alpha) (/ 1 beta)) into (+ (/ 1 beta) (/ 1 alpha))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ (+ (/ 1 beta) (/ 1 alpha)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (+ (* (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (/ 0 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))) into (+ (/ 1 (* beta (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (/ 1 (* alpha (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (+ (* (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (/ 0 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (+ (/ 1 (* beta (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (/ 1 (* alpha (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))) (* 0 (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) into (+ (/ 1 (* beta (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) (/ 1 (* alpha (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))))
* [misc]backup-simplify:  Simplify (- (/ 0 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha)))) (+ (* (/ (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha)))) (/ 0 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))))))) into 0
* [misc]backup-simplify:  Simplify (- (/ (+ (/ 1 (* beta (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) (/ 1 (* alpha (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))) (/ (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))))) (+ (* (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)))) (/ 0 (/ (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha)))))))) into (+ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))) (* beta (* (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)) (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))) (* alpha (* (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)) (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))))
* [misc]taylor:  Taking taylor expansion of (+ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))) (* beta (* (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)) (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))) (* alpha (* (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)) (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))) (* beta (* (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)) (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (* beta (* (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)) (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)) (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)) in alpha
* [misc]backup-simplify:  Simplify (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)) into (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0))
* [misc]taylor:  Taking taylor expansion of (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) into (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) into (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (* (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)) (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) into (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)))
* [misc]backup-simplify:  Simplify (* beta (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)))) into (* beta (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0))))
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))) (* beta (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0))))) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))) (* beta (* (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)) (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))))
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))) (* alpha (* (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)) (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (* alpha (* (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)) (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)) (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)) in alpha
* [misc]backup-simplify:  Simplify (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)) into (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0))
* [misc]taylor:  Taking taylor expansion of (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) into (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) into (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (* (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)) (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) into (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)))
* [misc]backup-simplify:  Simplify (* 0 (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) 0) (* 0 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)) 0) (* 0 (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0))))) into (+ (/ (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)) (sqr beta)) (+ (* (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0))) (* 2 (/ (* (fma (/ 1 i) 2 (/ 1 alpha)) (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0))) beta))))
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))) (+ (/ (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)) (sqr beta)) (+ (* (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0))) (* 2 (/ (* (fma (/ 1 i) 2 (/ 1 alpha)) (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0))) beta))))) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))) (+ (/ (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)) (sqr beta)) (+ (* (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0))) (* 2 (/ (* (fma (/ 1 i) 2 (/ 1 alpha)) (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0))) beta)))))
* [misc]backup-simplify:  Simplify (+ 0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))) (+ (/ (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)) (sqr beta)) (+ (* (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0))) (* 2 (/ (* (fma (/ 1 i) 2 (/ 1 alpha)) (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0))) beta)))))) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))) (+ (/ (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)) (sqr beta)) (+ (* (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0))) (* 2 (/ (* (fma (/ 1 i) 2 (/ 1 alpha)) (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0))) beta)))))
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))) (+ (/ (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)) (sqr beta)) (+ (* (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0))) (* 2 (/ (* (fma (/ 1 i) 2 (/ 1 alpha)) (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0))) beta))))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (+ (/ (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)) (sqr beta)) (+ (* (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0))) (* 2 (/ (* (fma (/ 1 i) 2 (/ 1 alpha)) (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0))) beta)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)) (sqr beta)) in beta
* [misc]taylor:  Taking taylor expansion of (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)) in beta
* [misc]backup-simplify:  Simplify (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)) into (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0))
* [misc]taylor:  Taking taylor expansion of (sqr beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (/ (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)) 1) into (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0))
* [misc]taylor:  Taking taylor expansion of (+ (* (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0))) (* 2 (/ (* (fma (/ 1 i) 2 (/ 1 alpha)) (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0))) beta))) in beta
* [misc]taylor:  Taking taylor expansion of (* (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0))) in beta
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ 1 i) 2 (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)) in beta
* [misc]backup-simplify:  Simplify (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)) into (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0))
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* (fma (/ 1 i) 2 (/ 1 alpha)) (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0))) beta)) in beta
* [misc]taylor:  Taking taylor expansion of 2 in beta
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ 1 i) 2 (/ 1 alpha)) (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0))) beta) in beta
* [misc]taylor:  Taking taylor expansion of (* (fma (/ 1 i) 2 (/ 1 alpha)) (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)) in beta
* [misc]backup-simplify:  Simplify (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)) into (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0))
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) 2 (/ 1 alpha)) (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0))) into (* (fma (/ 1 i) 2 (/ 1 alpha)) (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)))
* [misc]backup-simplify:  Simplify (/ (* (fma (/ 1 i) 2 (/ 1 alpha)) (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0))) 1) into (* (fma (/ 1 i) 2 (/ 1 alpha)) (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)))
* [misc]backup-simplify:  Simplify (+ (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)) 0) into (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0))
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))) (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0))) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))) (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)))
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))) (* (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)) (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (* (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)) (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)) in beta
* [misc]backup-simplify:  Simplify (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)) into (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0))
* [misc]taylor:  Taking taylor expansion of (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)) 1) into (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0))
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))) (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0))) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))) (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (+ (* (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (/ 0 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (* (+ (/ 1 (* beta (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (/ 1 (* alpha (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) (/ 0 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (+ (* (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (/ 0 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (* 0 (/ 0 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 0) (+ (* 0 (+ (/ 1 (* beta (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (/ 1 (* alpha (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))) (* 0 (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha)))) (+ (* (/ (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha)))) (/ 0 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))))) (* 0 (/ 0 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (/ (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))))) (+ (* (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)))) (/ 0 (/ (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha)))))) (* (+ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))) (* beta (* (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)) (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))) (* alpha (* (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)) (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))))) (/ 0 (/ (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha)))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) 0) (+ (* 0 0) (* 0 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)) 0) (+ (* 0 0) (* 0 (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ (/ (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)) (sqr beta)) (+ (* (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0))) (* 2 (/ (* (fma (/ 1 i) 2 (/ 1 alpha)) (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0))) beta))))) (+ (* (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))) (+ (/ (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)) (sqr beta)) (+ (* (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0))) (* 2 (/ (* (fma (/ 1 i) 2 (/ 1 alpha)) (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0))) beta))))) (/ 0 (+ (/ (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)) (sqr beta)) (+ (* (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0))) (* 2 (/ (* (fma (/ 1 i) 2 (/ 1 alpha)) (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0))) beta)))))))) into 0
* [misc]backup-simplify:  Simplify (+ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))) (* beta (* (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)) (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))) 0) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (* beta (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)))))
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (* beta (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0))))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (* beta (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)))) in beta
* [misc]taylor:  Taking taylor expansion of (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (* beta (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0))) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)) in beta
* [misc]backup-simplify:  Simplify (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)) into (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* 0 (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0))) into 0
* [misc]backup-simplify:  Simplify (* 1 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)))) into (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (fma (/ 1 i) 2 (/ 1 alpha))) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (* 1 (fma (/ 1 i) 2 (/ 1 alpha))) (* (fma (/ 1 i) 2 (/ 1 alpha)) 1)) into (* 2 (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (+ (* 1 (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0))) (* (* 2 (fma (/ 1 i) 2 (/ 1 alpha))) 0)) into (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0))
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))) (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0))) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))) (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)))
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))) (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0))) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))) (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) 0) (* 0 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 0) (* 0 (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)))) (+ (* (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))) (* (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)) (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) (/ 0 (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))) (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0))) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))) (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)))
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))) (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0))) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))) (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)))
* [misc]backup-simplify:  Simplify (+ (* (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))) (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0))) (sqr (* (/ 1 beta) (* 1 (/ 1 (/ 1 i)))))) (+ (* (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))) (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0))) (* (sqr (/ 1 beta)) (* (/ 1 (/ 1 alpha)) (/ 1 (/ 1 i))))) (* (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))) (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0))) (* (/ 1 beta) (* 1 (/ 1 (/ 1 i))))))) into (+ (/ (* i (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha)))) (* beta (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)))) (+ (/ (* (sqr i) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha)))) (* (sqr beta) (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)))) (/ (* alpha (* i (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))))) (* (sqr beta) (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0))))))
* [misc]approximate:  Taking taylor expansion of (/ (* (/ (/ 1 (- i)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta)))) (/ (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))))) (/ (fma (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (fma (/ 1 (- beta)) 2 (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) (- (sqr (/ 1 (- beta))) 1.0)) (fma (/ 1 (- i)) (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (* (/ 1 (- alpha)) (/ 1 (- beta)))))) in (i alpha beta) around 0
* [misc]taylor:  Taking taylor expansion of (/ (* (/ (/ 1 (- i)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta)))) (/ (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))))) (/ (fma (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (fma (/ 1 (- beta)) 2 (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) (- (sqr (/ 1 (- beta))) 1.0)) (fma (/ 1 (- i)) (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (* (/ 1 (- alpha)) (/ 1 (- beta)))))) in beta
* [misc]taylor:  Taking taylor expansion of (* (/ (/ 1 (- i)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta)))) (/ (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- i)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in beta
* [misc]taylor:  Taking taylor expansion of (- i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (/ (/ -1 i) -1) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta)))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- alpha)) (/ 1 (- i))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in beta
* [misc]taylor:  Taking taylor expansion of (- i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (/ -1 -1) into 1
* [misc]taylor:  Taking taylor expansion of (/ (fma (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (fma (/ 1 (- beta)) 2 (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) (- (sqr (/ 1 (- beta))) 1.0)) (fma (/ 1 (- i)) (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (fma (/ 1 (- beta)) 2 (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) (- (sqr (/ 1 (- beta))) 1.0)) in beta
* [misc]backup-simplify:  Simplify (fma (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (fma (/ 1 (- beta)) 2 (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) (- (sqr (/ 1 (- beta))) 1.0)) into (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 beta) 2 (fma (/ -1 i) 2 (/ -1 alpha))) (- (/ 1 (sqr beta)) 1.0))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (* (/ 1 (- alpha)) (/ 1 (- beta)))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (* (/ 1 (- alpha)) (/ 1 (- beta)))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (/ (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 beta) 2 (fma (/ -1 i) 2 (/ -1 alpha))) (- (/ 1 (sqr beta)) 1.0)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) into (/ (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 beta) 2 (fma (/ -1 i) 2 (/ -1 alpha))) (- (/ 1 (sqr beta)) 1.0)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (* (/ 1 i) 1) into (/ 1 i)
* [misc]backup-simplify:  Simplify (/ (/ 1 i) (/ (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 beta) 2 (fma (/ -1 i) 2 (/ -1 alpha))) (- (/ 1 (sqr beta)) 1.0)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 beta) 2 (fma (/ -1 i) 2 (/ -1 alpha))) (- (/ 1 (sqr beta)) 1.0)) i))
* [misc]taylor:  Taking taylor expansion of (/ (* (/ (/ 1 (- i)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta)))) (/ (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))))) (/ (fma (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (fma (/ 1 (- beta)) 2 (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) (- (sqr (/ 1 (- beta))) 1.0)) (fma (/ 1 (- i)) (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (* (/ 1 (- alpha)) (/ 1 (- beta)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (/ (/ 1 (- i)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta)))) (/ (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- i)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta)))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in alpha
* [misc]taylor:  Taking taylor expansion of (- i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]backup-simplify:  Simplify (+ (fma (/ -1 i) 2 (/ -1 alpha)) (/ -1 beta)) into (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))
* [misc]backup-simplify:  Simplify (/ (/ -1 i) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) into (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta)))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- alpha)) (/ 1 (- i))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (- alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in alpha
* [misc]taylor:  Taking taylor expansion of (- i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (+ (fma (/ -1 i) 2 (/ -1 alpha)) (/ -1 beta)) into (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))
* [misc]backup-simplify:  Simplify (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) into (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))
* [misc]taylor:  Taking taylor expansion of (/ (fma (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (fma (/ 1 (- beta)) 2 (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) (- (sqr (/ 1 (- beta))) 1.0)) (fma (/ 1 (- i)) (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (fma (/ 1 (- beta)) 2 (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) (- (sqr (/ 1 (- beta))) 1.0)) in alpha
* [misc]backup-simplify:  Simplify (fma (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (fma (/ 1 (- beta)) 2 (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) (- (sqr (/ 1 (- beta))) 1.0)) into (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 beta) 2 (fma (/ -1 i) 2 (/ -1 alpha))) (- (/ 1 (sqr beta)) 1.0))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (* (/ 1 (- alpha)) (/ 1 (- beta)))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (* (/ 1 (- alpha)) (/ 1 (- beta)))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (/ (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 beta) 2 (fma (/ -1 i) 2 (/ -1 alpha))) (- (/ 1 (sqr beta)) 1.0)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) into (/ (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 beta) 2 (fma (/ -1 i) 2 (/ -1 alpha))) (- (/ 1 (sqr beta)) 1.0)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (* (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i)) (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))) into (/ 1 (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) i))
* [misc]backup-simplify:  Simplify (/ (/ 1 (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) i)) (/ (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 beta) 2 (fma (/ -1 i) 2 (/ -1 alpha))) (- (/ 1 (sqr beta)) 1.0)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 beta) 2 (fma (/ -1 i) 2 (/ -1 alpha))) (- (/ 1 (sqr beta)) 1.0)) i)))
* [misc]taylor:  Taking taylor expansion of (/ (* (/ (/ 1 (- i)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta)))) (/ (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))))) (/ (fma (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (fma (/ 1 (- beta)) 2 (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) (- (sqr (/ 1 (- beta))) 1.0)) (fma (/ 1 (- i)) (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (* (/ 1 (- alpha)) (/ 1 (- beta)))))) in i
* [misc]taylor:  Taking taylor expansion of (* (/ (/ 1 (- i)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta)))) (/ (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))))) in i
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- i)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta)))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in i
* [misc]taylor:  Taking taylor expansion of (- i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in i
* [misc]taylor:  Taking taylor expansion of (- beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]backup-simplify:  Simplify (+ (fma (/ -1 i) 2 (/ -1 alpha)) (/ -1 beta)) into (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))
* [misc]backup-simplify:  Simplify (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) into (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta)))) in i
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) in i
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- alpha)) (/ 1 (- i))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in i
* [misc]taylor:  Taking taylor expansion of (- alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in i
* [misc]taylor:  Taking taylor expansion of (- i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in i
* [misc]taylor:  Taking taylor expansion of (- beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in i
* [misc]taylor:  Taking taylor expansion of (- beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (+ (fma (/ -1 i) 2 (/ -1 alpha)) (/ -1 beta)) into (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))
* [misc]backup-simplify:  Simplify (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) into (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))
* [misc]taylor:  Taking taylor expansion of (/ (fma (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (fma (/ 1 (- beta)) 2 (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) (- (sqr (/ 1 (- beta))) 1.0)) (fma (/ 1 (- i)) (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) in i
* [misc]taylor:  Taking taylor expansion of (fma (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (fma (/ 1 (- beta)) 2 (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) (- (sqr (/ 1 (- beta))) 1.0)) in i
* [misc]backup-simplify:  Simplify (fma (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (fma (/ 1 (- beta)) 2 (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) (- (sqr (/ 1 (- beta))) 1.0)) into (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 beta) 2 (fma (/ -1 i) 2 (/ -1 alpha))) (- (/ 1 (sqr beta)) 1.0))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (* (/ 1 (- alpha)) (/ 1 (- beta)))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (* (/ 1 (- alpha)) (/ 1 (- beta)))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (/ (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 beta) 2 (fma (/ -1 i) 2 (/ -1 alpha))) (- (/ 1 (sqr beta)) 1.0)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) into (/ (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 beta) 2 (fma (/ -1 i) 2 (/ -1 alpha))) (- (/ 1 (sqr beta)) 1.0)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (* (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))) into (/ 1 (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))
* [misc]backup-simplify:  Simplify (/ (/ 1 (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))) (/ (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 beta) 2 (fma (/ -1 i) 2 (/ -1 alpha))) (- (/ 1 (sqr beta)) 1.0)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 beta) 2 (fma (/ -1 i) 2 (/ -1 alpha))) (- (/ 1 (sqr beta)) 1.0))))
* [misc]taylor:  Taking taylor expansion of (/ (* (/ (/ 1 (- i)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta)))) (/ (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))))) (/ (fma (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (fma (/ 1 (- beta)) 2 (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) (- (sqr (/ 1 (- beta))) 1.0)) (fma (/ 1 (- i)) (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (* (/ 1 (- alpha)) (/ 1 (- beta)))))) in i
* [misc]taylor:  Taking taylor expansion of (* (/ (/ 1 (- i)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta)))) (/ (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))))) in i
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- i)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta)))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in i
* [misc]taylor:  Taking taylor expansion of (- i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in i
* [misc]taylor:  Taking taylor expansion of (- beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]backup-simplify:  Simplify (+ (fma (/ -1 i) 2 (/ -1 alpha)) (/ -1 beta)) into (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))
* [misc]backup-simplify:  Simplify (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) into (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta)))) in i
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) in i
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- alpha)) (/ 1 (- i))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in i
* [misc]taylor:  Taking taylor expansion of (- alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in i
* [misc]taylor:  Taking taylor expansion of (- i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in i
* [misc]taylor:  Taking taylor expansion of (- beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in i
* [misc]taylor:  Taking taylor expansion of (- beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (+ (fma (/ -1 i) 2 (/ -1 alpha)) (/ -1 beta)) into (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))
* [misc]backup-simplify:  Simplify (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) into (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))
* [misc]taylor:  Taking taylor expansion of (/ (fma (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (fma (/ 1 (- beta)) 2 (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) (- (sqr (/ 1 (- beta))) 1.0)) (fma (/ 1 (- i)) (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) in i
* [misc]taylor:  Taking taylor expansion of (fma (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (fma (/ 1 (- beta)) 2 (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) (- (sqr (/ 1 (- beta))) 1.0)) in i
* [misc]backup-simplify:  Simplify (fma (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (fma (/ 1 (- beta)) 2 (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) (- (sqr (/ 1 (- beta))) 1.0)) into (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 beta) 2 (fma (/ -1 i) 2 (/ -1 alpha))) (- (/ 1 (sqr beta)) 1.0))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (* (/ 1 (- alpha)) (/ 1 (- beta)))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (* (/ 1 (- alpha)) (/ 1 (- beta)))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (/ (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 beta) 2 (fma (/ -1 i) 2 (/ -1 alpha))) (- (/ 1 (sqr beta)) 1.0)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) into (/ (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 beta) 2 (fma (/ -1 i) 2 (/ -1 alpha))) (- (/ 1 (sqr beta)) 1.0)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (* (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))) into (/ 1 (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))
* [misc]backup-simplify:  Simplify (/ (/ 1 (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))) (/ (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 beta) 2 (fma (/ -1 i) 2 (/ -1 alpha))) (- (/ 1 (sqr beta)) 1.0)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 beta) 2 (fma (/ -1 i) 2 (/ -1 alpha))) (- (/ 1 (sqr beta)) 1.0))))
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 beta) 2 (fma (/ -1 i) 2 (/ -1 alpha))) (- (/ 1 (sqr beta)) 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 beta) 2 (fma (/ -1 i) 2 (/ -1 alpha))) (- (/ 1 (sqr beta)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 beta) 2 (fma (/ -1 i) 2 (/ -1 alpha))) (- (/ 1 (sqr beta)) 1.0)) in alpha
* [misc]backup-simplify:  Simplify (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 beta) 2 (fma (/ -1 i) 2 (/ -1 alpha))) (- (/ 1 (sqr beta)) 1.0)) into (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 beta) 2 (fma (/ -1 i) 2 (/ -1 alpha))) (- (/ 1 (sqr beta)) 1.0))
* [misc]backup-simplify:  Simplify (- (/ 1 beta)) into (- (/ 1 beta))
* [misc]backup-simplify:  Simplify (+ (fma (/ -1 i) 2 (/ -1 alpha)) (- (/ 1 beta))) into (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))
* [misc]backup-simplify:  Simplify (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) into (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))
* [misc]backup-simplify:  Simplify (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 beta) 2 (fma (/ -1 i) 2 (/ -1 alpha))) (- (/ 1 (sqr beta)) 1.0))) into (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 beta) 2 (fma (/ -1 i) 2 (/ -1 alpha))) (- (/ 1 (sqr beta)) 1.0)))
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 beta) 2 (fma (/ -1 i) 2 (/ -1 alpha))) (- (/ 1 (sqr beta)) 1.0)))) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 beta) 2 (fma (/ -1 i) 2 (/ -1 alpha))) (- (/ 1 (sqr beta)) 1.0))))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (/ -1 alpha) 0) into (- (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (- (/ 1 alpha)) (/ -1 beta)) into (- (+ (/ 1 beta) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 beta) (/ 0 (- beta))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ (- (+ (/ 1 beta) (/ 1 alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (+ (* (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (/ 0 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))) into (- (+ (/ 1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) alpha)) (/ 1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) beta))))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 beta) (/ 0 (- beta))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (+ (* (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (/ 0 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (- (+ (/ 1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) alpha)) (/ 1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) beta))))) (* 0 (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) into (+ (/ 1 (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) alpha)) (/ 1 (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) beta)))
* [misc]backup-simplify:  Simplify (- (/ 0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (+ (* (/ (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 beta) 2 (fma (/ -1 i) 2 (/ -1 alpha))) (- (/ 1 (sqr beta)) 1.0)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (/ 0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))))) into 0
* [misc]backup-simplify:  Simplify (- (/ (+ (/ 1 (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) alpha)) (/ 1 (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) beta))) (/ (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 beta) 2 (fma (/ -1 i) 2 (/ -1 alpha))) (- (/ 1 (sqr beta)) 1.0)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (+ (* (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 beta) 2 (fma (/ -1 i) 2 (/ -1 alpha))) (- (/ 1 (sqr beta)) 1.0)))) (/ 0 (/ (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 beta) 2 (fma (/ -1 i) 2 (/ -1 alpha))) (- (/ 1 (sqr beta)) 1.0)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))))) into (+ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* alpha (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 beta) 2 (fma (/ -1 i) 2 (/ -1 alpha))) (- (/ 1 (sqr beta)) 1.0))))) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* beta (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 beta) 2 (fma (/ -1 i) 2 (/ -1 alpha))) (- (/ 1 (sqr beta)) 1.0))))))
* [misc]taylor:  Taking taylor expansion of (+ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* alpha (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 beta) 2 (fma (/ -1 i) 2 (/ -1 alpha))) (- (/ 1 (sqr beta)) 1.0))))) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* beta (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 beta) 2 (fma (/ -1 i) 2 (/ -1 alpha))) (- (/ 1 (sqr beta)) 1.0)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* alpha (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 beta) 2 (fma (/ -1 i) 2 (/ -1 alpha))) (- (/ 1 (sqr beta)) 1.0))))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* alpha (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 beta) 2 (fma (/ -1 i) 2 (/ -1 alpha))) (- (/ 1 (sqr beta)) 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (* alpha (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 beta) 2 (fma (/ -1 i) 2 (/ -1 alpha))) (- (/ 1 (sqr beta)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 beta) 2 (fma (/ -1 i) 2 (/ -1 alpha))) (- (/ 1 (sqr beta)) 1.0)) in alpha
* [misc]backup-simplify:  Simplify (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 beta) 2 (fma (/ -1 i) 2 (/ -1 alpha))) (- (/ 1 (sqr beta)) 1.0)) into (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 beta) 2 (fma (/ -1 i) 2 (/ -1 alpha))) (- (/ 1 (sqr beta)) 1.0))
* [misc]backup-simplify:  Simplify (- (/ 1 beta)) into (- (/ 1 beta))
* [misc]backup-simplify:  Simplify (+ (fma (/ -1 i) 2 (/ -1 alpha)) (- (/ 1 beta))) into (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))
* [misc]backup-simplify:  Simplify (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) into (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))
* [misc]backup-simplify:  Simplify (* 0 (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 beta) 2 (fma (/ -1 i) 2 (/ -1 alpha))) (- (/ 1 (sqr beta)) 1.0))) into 0
* [misc]backup-simplify:  Simplify (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 beta) 2 (fma (/ -1 i) 2 (/ -1 alpha))) (- (/ 1 (sqr beta)) 1.0)))) into (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 beta) 2 (fma (/ -1 i) 2 (/ -1 alpha))) (- (/ 1 (sqr beta)) 1.0))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) 0) (* 0 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 beta) 2 (fma (/ -1 i) 2 (/ -1 alpha))) (- (/ 1 (sqr beta)) 1.0))) (* 0 0)) into (- (+ (/ (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 beta) 2 (fma (/ -1 i) 2 (/ -1 alpha))) (- (/ 1 (sqr beta)) 1.0)) (sqr beta)) (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 beta) 2 (fma (/ -1 i) 2 (/ -1 alpha))) (- (/ 1 (sqr beta)) 1.0)))) (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 beta) 2 (fma (/ -1 i) 2 (/ -1 alpha))) (- (/ 1 (sqr beta)) 1.0))) beta)))
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (- (+ (/ (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 beta) 2 (fma (/ -1 i) 2 (/ -1 alpha))) (- (/ 1 (sqr beta)) 1.0)) (sqr beta)) (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 beta) 2 (fma (/ -1 i) 2 (/ -1 alpha))) (- (/ 1 (sqr beta)) 1.0)))) (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 beta) 2 (fma (/ -1 i) 2 (/ -1 alpha))) (- (/ 1 (sqr beta)) 1.0))) beta)))) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (- (+ (/ (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 beta) 2 (fma (/ -1 i) 2 (/ -1 alpha))) (- (/ 1 (sqr beta)) 1.0)) (sqr beta)) (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 beta) 2 (fma (/ -1 i) 2 (/ -1 alpha))) (- (/ 1 (sqr beta)) 1.0)))) (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 beta) 2 (fma (/ -1 i) 2 (/ -1 alpha))) (- (/ 1 (sqr beta)) 1.0))) beta))))
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* beta (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 beta) 2 (fma (/ -1 i) 2 (/ -1 alpha))) (- (/ 1 (sqr beta)) 1.0))))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* beta (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 beta) 2 (fma (/ -1 i) 2 (/ -1 alpha))) (- (/ 1 (sqr beta)) 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (* beta (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 beta) 2 (fma (/ -1 i) 2 (/ -1 alpha))) (- (/ 1 (sqr beta)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 beta) 2 (fma (/ -1 i) 2 (/ -1 alpha))) (- (/ 1 (sqr beta)) 1.0)) in alpha
* [misc]backup-simplify:  Simplify (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 beta) 2 (fma (/ -1 i) 2 (/ -1 alpha))) (- (/ 1 (sqr beta)) 1.0)) into (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 beta) 2 (fma (/ -1 i) 2 (/ -1 alpha))) (- (/ 1 (sqr beta)) 1.0))
* [misc]backup-simplify:  Simplify (- (/ 1 beta)) into (- (/ 1 beta))
* [misc]backup-simplify:  Simplify (+ (fma (/ -1 i) 2 (/ -1 alpha)) (- (/ 1 beta))) into (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))
* [misc]backup-simplify:  Simplify (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) into (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))
* [misc]backup-simplify:  Simplify (* beta (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 beta) 2 (fma (/ -1 i) 2 (/ -1 alpha))) (- (/ 1 (sqr beta)) 1.0))) into (* beta (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 beta) 2 (fma (/ -1 i) 2 (/ -1 alpha))) (- (/ 1 (sqr beta)) 1.0)))
* [misc]backup-simplify:  Simplify (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* beta (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 beta) 2 (fma (/ -1 i) 2 (/ -1 alpha))) (- (/ 1 (sqr beta)) 1.0)))) into (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* beta (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 beta) 2 (fma (/ -1 i) 2 (/ -1 alpha))) (- (/ 1 (sqr beta)) 1.0))))
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* beta (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 beta) 2 (fma (/ -1 i) 2 (/ -1 alpha))) (- (/ 1 (sqr beta)) 1.0))))) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* beta (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 beta) 2 (fma (/ -1 i) 2 (/ -1 alpha))) (- (/ 1 (sqr beta)) 1.0)))))
* [misc]backup-simplify:  Simplify (+ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (- (+ (/ (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 beta) 2 (fma (/ -1 i) 2 (/ -1 alpha))) (- (/ 1 (sqr beta)) 1.0)) (sqr beta)) (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 beta) 2 (fma (/ -1 i) 2 (/ -1 alpha))) (- (/ 1 (sqr beta)) 1.0)))) (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 beta) 2 (fma (/ -1 i) 2 (/ -1 alpha))) (- (/ 1 (sqr beta)) 1.0))) beta)))) 0) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (- (+ (/ (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 beta) 2 (fma (/ -1 i) 2 (/ -1 alpha))) (- (/ 1 (sqr beta)) 1.0)) (sqr beta)) (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 beta) 2 (fma (/ -1 i) 2 (/ -1 alpha))) (- (/ 1 (sqr beta)) 1.0)))) (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 beta) 2 (fma (/ -1 i) 2 (/ -1 alpha))) (- (/ 1 (sqr beta)) 1.0))) beta))))
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (- (+ (/ (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 beta) 2 (fma (/ -1 i) 2 (/ -1 alpha))) (- (/ 1 (sqr beta)) 1.0)) (sqr beta)) (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 beta) 2 (fma (/ -1 i) 2 (/ -1 alpha))) (- (/ 1 (sqr beta)) 1.0)))) (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 beta) 2 (fma (/ -1 i) 2 (/ -1 alpha))) (- (/ 1 (sqr beta)) 1.0))) beta)))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in beta
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (- (+ (/ (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 beta) 2 (fma (/ -1 i) 2 (/ -1 alpha))) (- (/ 1 (sqr beta)) 1.0)) (sqr beta)) (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 beta) 2 (fma (/ -1 i) 2 (/ -1 alpha))) (- (/ 1 (sqr beta)) 1.0)))) (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 beta) 2 (fma (/ -1 i) 2 (/ -1 alpha))) (- (/ 1 (sqr beta)) 1.0))) beta))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 beta) 2 (fma (/ -1 i) 2 (/ -1 alpha))) (- (/ 1 (sqr beta)) 1.0)) (sqr beta)) (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 beta) 2 (fma (/ -1 i) 2 (/ -1 alpha))) (- (/ 1 (sqr beta)) 1.0)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 beta) 2 (fma (/ -1 i) 2 (/ -1 alpha))) (- (/ 1 (sqr beta)) 1.0)) (sqr beta)) in beta
* [misc]taylor:  Taking taylor expansion of (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 beta) 2 (fma (/ -1 i) 2 (/ -1 alpha))) (- (/ 1 (sqr beta)) 1.0)) in beta
* [misc]backup-simplify:  Simplify (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 beta) 2 (fma (/ -1 i) 2 (/ -1 alpha))) (- (/ 1 (sqr beta)) 1.0)) into (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 beta) 2 (fma (/ -1 i) 2 (/ -1 alpha))) (- (/ 1 (sqr beta)) 1.0))
* [misc]taylor:  Taking taylor expansion of (sqr beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (/ (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 beta) 2 (fma (/ -1 i) 2 (/ -1 alpha))) (- (/ 1 (sqr beta)) 1.0)) 1) into (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 beta) 2 (fma (/ -1 i) 2 (/ -1 alpha))) (- (/ 1 (sqr beta)) 1.0))
* [misc]taylor:  Taking taylor expansion of (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 beta) 2 (fma (/ -1 i) 2 (/ -1 alpha))) (- (/ 1 (sqr beta)) 1.0))) in beta
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ -1 i) 2 (/ -1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in beta
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 beta) 2 (fma (/ -1 i) 2 (/ -1 alpha))) (- (/ 1 (sqr beta)) 1.0)) in beta
* [misc]backup-simplify:  Simplify (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 beta) 2 (fma (/ -1 i) 2 (/ -1 alpha))) (- (/ 1 (sqr beta)) 1.0)) into (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 beta) 2 (fma (/ -1 i) 2 (/ -1 alpha))) (- (/ 1 (sqr beta)) 1.0))
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 beta) 2 (fma (/ -1 i) 2 (/ -1 alpha))) (- (/ 1 (sqr beta)) 1.0))) beta)) in beta
* [misc]taylor:  Taking taylor expansion of 2 in beta
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 beta) 2 (fma (/ -1 i) 2 (/ -1 alpha))) (- (/ 1 (sqr beta)) 1.0))) beta) in beta
* [misc]taylor:  Taking taylor expansion of (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 beta) 2 (fma (/ -1 i) 2 (/ -1 alpha))) (- (/ 1 (sqr beta)) 1.0))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in beta
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 beta) 2 (fma (/ -1 i) 2 (/ -1 alpha))) (- (/ 1 (sqr beta)) 1.0)) in beta
* [misc]backup-simplify:  Simplify (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 beta) 2 (fma (/ -1 i) 2 (/ -1 alpha))) (- (/ 1 (sqr beta)) 1.0)) into (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 beta) 2 (fma (/ -1 i) 2 (/ -1 alpha))) (- (/ 1 (sqr beta)) 1.0))
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 beta) 2 (fma (/ -1 i) 2 (/ -1 alpha))) (- (/ 1 (sqr beta)) 1.0))) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 beta) 2 (fma (/ -1 i) 2 (/ -1 alpha))) (- (/ 1 (sqr beta)) 1.0)))
* [misc]backup-simplify:  Simplify (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 beta) 2 (fma (/ -1 i) 2 (/ -1 alpha))) (- (/ 1 (sqr beta)) 1.0))) 1) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 beta) 2 (fma (/ -1 i) 2 (/ -1 alpha))) (- (/ 1 (sqr beta)) 1.0)))
* [misc]backup-simplify:  Simplify (+ (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 beta) 2 (fma (/ -1 i) 2 (/ -1 alpha))) (- (/ 1 (sqr beta)) 1.0)) 0) into (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 beta) 2 (fma (/ -1 i) 2 (/ -1 alpha))) (- (/ 1 (sqr beta)) 1.0))
* [misc]backup-simplify:  Simplify (+ (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 beta) 2 (fma (/ -1 i) 2 (/ -1 alpha))) (- (/ 1 (sqr beta)) 1.0)) 0) into (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 beta) 2 (fma (/ -1 i) 2 (/ -1 alpha))) (- (/ 1 (sqr beta)) 1.0))
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 beta) 2 (fma (/ -1 i) 2 (/ -1 alpha))) (- (/ 1 (sqr beta)) 1.0))) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 beta) 2 (fma (/ -1 i) 2 (/ -1 alpha))) (- (/ 1 (sqr beta)) 1.0)))
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 beta) 2 (fma (/ -1 i) 2 (/ -1 alpha))) (- (/ 1 (sqr beta)) 1.0)))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) in beta
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 beta) 2 (fma (/ -1 i) 2 (/ -1 alpha))) (- (/ 1 (sqr beta)) 1.0))) in beta
* [misc]taylor:  Taking taylor expansion of (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) in beta
* [misc]taylor:  Taking taylor expansion of (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in beta
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 beta) 2 (fma (/ -1 i) 2 (/ -1 alpha))) (- (/ 1 (sqr beta)) 1.0)) in beta
* [misc]backup-simplify:  Simplify (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 beta) 2 (fma (/ -1 i) 2 (/ -1 alpha))) (- (/ 1 (sqr beta)) 1.0)) into (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 beta) 2 (fma (/ -1 i) 2 (/ -1 alpha))) (- (/ 1 (sqr beta)) 1.0))
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (* 1 (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 beta) 2 (fma (/ -1 i) 2 (/ -1 alpha))) (- (/ 1 (sqr beta)) 1.0))) into (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 beta) 2 (fma (/ -1 i) 2 (/ -1 alpha))) (- (/ 1 (sqr beta)) 1.0))
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 beta) 2 (fma (/ -1 i) 2 (/ -1 alpha))) (- (/ 1 (sqr beta)) 1.0))) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 beta) 2 (fma (/ -1 i) 2 (/ -1 alpha))) (- (/ 1 (sqr beta)) 1.0)))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 alpha) (/ 0 (- alpha))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 beta) (/ 0 (- beta))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 beta) (/ 0 (- beta))) (* 0 (/ 0 (- beta))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (+ (* (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (/ 0 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))) (* (- (+ (/ 1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) alpha)) (/ 1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) beta)))) (/ 0 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 beta) (/ 0 (- beta))) (* 0 (/ 0 (- beta))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (+ (* (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (/ 0 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))) (* 0 (/ 0 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) 0) (+ (* 0 (- (+ (/ 1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) alpha)) (/ 1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) beta))))) (* 0 (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (+ (* (/ (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 beta) 2 (fma (/ -1 i) 2 (/ -1 alpha))) (- (/ 1 (sqr beta)) 1.0)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (/ 0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (* 0 (/ 0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (/ (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 beta) 2 (fma (/ -1 i) 2 (/ -1 alpha))) (- (/ 1 (sqr beta)) 1.0)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (+ (* (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 beta) 2 (fma (/ -1 i) 2 (/ -1 alpha))) (- (/ 1 (sqr beta)) 1.0)))) (/ 0 (/ (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 beta) 2 (fma (/ -1 i) 2 (/ -1 alpha))) (- (/ 1 (sqr beta)) 1.0)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) (* (+ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* alpha (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 beta) 2 (fma (/ -1 i) 2 (/ -1 alpha))) (- (/ 1 (sqr beta)) 1.0))))) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* beta (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 beta) 2 (fma (/ -1 i) 2 (/ -1 alpha))) (- (/ 1 (sqr beta)) 1.0)))))) (/ 0 (/ (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 beta) 2 (fma (/ -1 i) 2 (/ -1 alpha))) (- (/ 1 (sqr beta)) 1.0)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 beta) 2 (fma (/ -1 i) 2 (/ -1 alpha))) (- (/ 1 (sqr beta)) 1.0))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) 0) (+ (* 0 0) (* 0 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) 0) (+ (* 0 (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 beta) 2 (fma (/ -1 i) 2 (/ -1 alpha))) (- (/ 1 (sqr beta)) 1.0))) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (- (+ (/ (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 beta) 2 (fma (/ -1 i) 2 (/ -1 alpha))) (- (/ 1 (sqr beta)) 1.0)) (sqr beta)) (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 beta) 2 (fma (/ -1 i) 2 (/ -1 alpha))) (- (/ 1 (sqr beta)) 1.0)))) (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 beta) 2 (fma (/ -1 i) 2 (/ -1 alpha))) (- (/ 1 (sqr beta)) 1.0))) beta)))) (+ (* (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (- (+ (/ (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 beta) 2 (fma (/ -1 i) 2 (/ -1 alpha))) (- (/ 1 (sqr beta)) 1.0)) (sqr beta)) (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 beta) 2 (fma (/ -1 i) 2 (/ -1 alpha))) (- (/ 1 (sqr beta)) 1.0)))) (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 beta) 2 (fma (/ -1 i) 2 (/ -1 alpha))) (- (/ 1 (sqr beta)) 1.0))) beta)))) (/ 0 (- (+ (/ (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 beta) 2 (fma (/ -1 i) 2 (/ -1 alpha))) (- (/ 1 (sqr beta)) 1.0)) (sqr beta)) (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 beta) 2 (fma (/ -1 i) 2 (/ -1 alpha))) (- (/ 1 (sqr beta)) 1.0)))) (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 beta) 2 (fma (/ -1 i) 2 (/ -1 alpha))) (- (/ 1 (sqr beta)) 1.0))) beta))))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* beta (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 beta) 2 (fma (/ -1 i) 2 (/ -1 alpha))) (- (/ 1 (sqr beta)) 1.0)))))) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* beta (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 beta) 2 (fma (/ -1 i) 2 (/ -1 alpha))) (- (/ 1 (sqr beta)) 1.0)))))
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* beta (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 beta) 2 (fma (/ -1 i) 2 (/ -1 alpha))) (- (/ 1 (sqr beta)) 1.0))))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in beta
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* beta (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 beta) 2 (fma (/ -1 i) 2 (/ -1 alpha))) (- (/ 1 (sqr beta)) 1.0)))) in beta
* [misc]taylor:  Taking taylor expansion of (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) in beta
* [misc]taylor:  Taking taylor expansion of (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in beta
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (* beta (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 beta) 2 (fma (/ -1 i) 2 (/ -1 alpha))) (- (/ 1 (sqr beta)) 1.0))) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 beta) 2 (fma (/ -1 i) 2 (/ -1 alpha))) (- (/ 1 (sqr beta)) 1.0)) in beta
* [misc]backup-simplify:  Simplify (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 beta) 2 (fma (/ -1 i) 2 (/ -1 alpha))) (- (/ 1 (sqr beta)) 1.0)) into (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 beta) 2 (fma (/ -1 i) 2 (/ -1 alpha))) (- (/ 1 (sqr beta)) 1.0))
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (* 0 (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 beta) 2 (fma (/ -1 i) 2 (/ -1 alpha))) (- (/ 1 (sqr beta)) 1.0))) into 0
* [misc]backup-simplify:  Simplify (* 1 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 beta) 2 (fma (/ -1 i) 2 (/ -1 alpha))) (- (/ 1 (sqr beta)) 1.0)))) into (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 beta) 2 (fma (/ -1 i) 2 (/ -1 alpha))) (- (/ 1 (sqr beta)) 1.0))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (fma (/ -1 i) 2 (/ -1 alpha)) 0) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (+ (* -1 (fma (/ -1 i) 2 (/ -1 alpha))) (* (fma (/ -1 i) 2 (/ -1 alpha)) -1)) into (- (* 2 (fma (/ -1 i) 2 (/ -1 alpha))))
* [misc]backup-simplify:  Simplify (+ (* 1 (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 beta) 2 (fma (/ -1 i) 2 (/ -1 alpha))) (- (/ 1 (sqr beta)) 1.0))) (* (- (* 2 (fma (/ -1 i) 2 (/ -1 alpha)))) 0)) into (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 beta) 2 (fma (/ -1 i) 2 (/ -1 alpha))) (- (/ 1 (sqr beta)) 1.0))
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 beta) 2 (fma (/ -1 i) 2 (/ -1 alpha))) (- (/ 1 (sqr beta)) 1.0))) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 beta) 2 (fma (/ -1 i) 2 (/ -1 alpha))) (- (/ 1 (sqr beta)) 1.0)))
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 beta) 2 (fma (/ -1 i) 2 (/ -1 alpha))) (- (/ 1 (sqr beta)) 1.0))) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 beta) 2 (fma (/ -1 i) 2 (/ -1 alpha))) (- (/ 1 (sqr beta)) 1.0)))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) 0) (* 0 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) 0) (* 0 (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 beta) 2 (fma (/ -1 i) 2 (/ -1 alpha))) (- (/ 1 (sqr beta)) 1.0)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 beta) 2 (fma (/ -1 i) 2 (/ -1 alpha))) (- (/ 1 (sqr beta)) 1.0)))) (+ (* (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 beta) 2 (fma (/ -1 i) 2 (/ -1 alpha))) (- (/ 1 (sqr beta)) 1.0)))) (/ 0 (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 beta) 2 (fma (/ -1 i) 2 (/ -1 alpha))) (- (/ 1 (sqr beta)) 1.0))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 beta) 2 (fma (/ -1 i) 2 (/ -1 alpha))) (- (/ 1 (sqr beta)) 1.0))) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 beta) 2 (fma (/ -1 i) 2 (/ -1 alpha))) (- (/ 1 (sqr beta)) 1.0)))
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 beta) 2 (fma (/ -1 i) 2 (/ -1 alpha))) (- (/ 1 (sqr beta)) 1.0))) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 beta) 2 (fma (/ -1 i) 2 (/ -1 alpha))) (- (/ 1 (sqr beta)) 1.0)))
* [misc]backup-simplify:  Simplify (+ (* (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 beta) 2 (fma (/ -1 i) 2 (/ -1 alpha))) (- (/ 1 (sqr beta)) 1.0))) (sqr (* (/ 1 (- beta)) (* 1 (/ 1 (/ 1 (- i))))))) (+ (* (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 beta) 2 (fma (/ -1 i) 2 (/ -1 alpha))) (- (/ 1 (sqr beta)) 1.0))) (* (sqr (/ 1 (- beta))) (* (/ 1 (/ 1 (- alpha))) (/ 1 (/ 1 (- i)))))) (* (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 beta) 2 (fma (/ -1 i) 2 (/ -1 alpha))) (- (/ 1 (sqr beta)) 1.0))) (* (/ 1 (- beta)) (* 1 (/ 1 (/ 1 (- i)))))))) into (+ (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i)) (* (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 beta) 2 (fma (/ -1 i) 2 (/ -1 alpha))) (- (/ 1 (sqr beta)) 1.0)) (sqr beta))) (+ (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* alpha i)) (* (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 beta) 2 (fma (/ -1 i) 2 (/ -1 alpha))) (- (/ 1 (sqr beta)) 1.0)) (sqr beta))) (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i) (* (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 beta) 2 (fma (/ -1 i) 2 (/ -1 alpha))) (- (/ 1 (sqr beta)) 1.0)) beta))))
* [misc]approximate:  Taking taylor expansion of (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) in (alpha i beta) around 0
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ alpha i) beta) in beta
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ (fma i 2 alpha) beta) in beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in beta
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ alpha i) into (+ alpha i)
* [misc]backup-simplify:  Simplify (+ (+ alpha i) 0) into (+ alpha i)
* [misc]backup-simplify:  Simplify (+ (fma i 2 alpha) 0) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (/ (+ alpha i) (fma i 2 alpha)) into (/ (+ alpha i) (fma i 2 alpha))
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) in i
* [misc]taylor:  Taking taylor expansion of (+ (+ alpha i) beta) in i
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (+ (fma i 2 alpha) beta) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (+ alpha 0) into alpha
* [misc]backup-simplify:  Simplify (+ alpha beta) into (+ beta alpha)
* [misc]backup-simplify:  Simplify (+ (fma i 2 alpha) beta) into (+ beta (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (/ (+ beta alpha) (+ beta (fma i 2 alpha))) into (/ (+ beta alpha) (+ beta (fma i 2 alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ alpha i) beta) in alpha
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (+ (fma i 2 alpha) beta) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (+ 0 i) into i
* [misc]backup-simplify:  Simplify (+ i beta) into (+ beta i)
* [misc]backup-simplify:  Simplify (+ (fma i 2 alpha) beta) into (+ beta (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (/ (+ beta i) (+ beta (fma i 2 alpha))) into (/ (+ beta i) (+ beta (fma i 2 alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ alpha i) beta) in alpha
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (+ (fma i 2 alpha) beta) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (+ 0 i) into i
* [misc]backup-simplify:  Simplify (+ i beta) into (+ beta i)
* [misc]backup-simplify:  Simplify (+ (fma i 2 alpha) beta) into (+ beta (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (/ (+ beta i) (+ beta (fma i 2 alpha))) into (/ (+ beta i) (+ beta (fma i 2 alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (+ beta i) (+ beta (fma i 2 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (+ beta (fma i 2 alpha)) into (+ beta (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (/ beta (+ beta (fma i 2 alpha))) into (/ beta (+ beta (fma i 2 alpha)))
* [misc]taylor:  Taking taylor expansion of (/ beta (+ beta (fma i 2 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in beta
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ 0 (fma i 2 alpha)) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (/ 1 (fma i 2 alpha)) into (/ 1 (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 1 (+ beta (fma i 2 alpha))) (+ (* (/ (+ beta i) (+ beta (fma i 2 alpha))) (/ 0 (+ beta (fma i 2 alpha)))))) into (/ 1 (+ beta (fma i 2 alpha)))
* [misc]taylor:  Taking taylor expansion of (/ 1 (+ beta (fma i 2 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ beta (fma i 2 alpha)) into (+ beta (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (/ 1 (+ beta (fma i 2 alpha))) into (/ 1 (+ beta (fma i 2 alpha)))
* [misc]taylor:  Taking taylor expansion of (/ 1 (+ beta (fma i 2 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in beta
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ 0 (fma i 2 alpha)) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (/ 1 (fma i 2 alpha)) into (/ 1 (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (/ 1 (fma i 2 alpha)) into (/ 1 (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 1 (+ beta (fma i 2 alpha))) (+ (* (/ beta (+ beta (fma i 2 alpha))) (/ 0 (+ beta (fma i 2 alpha)))))) into (/ 1 (+ beta (fma i 2 alpha)))
* [misc]taylor:  Taking taylor expansion of (/ 1 (+ beta (fma i 2 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in beta
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ 0 (fma i 2 alpha)) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (/ 1 (fma i 2 alpha)) into (/ 1 (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (/ 1 (fma i 2 alpha)) into (/ 1 (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (/ 1 (fma i 2 alpha)) into (/ 1 (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (+ (* (/ 1 (fma i 2 alpha)) (* beta (* 1 1))) (+ (* (/ 1 (fma i 2 alpha)) (* 1 (* i 1))) (* (/ 1 (fma i 2 alpha)) (* 1 (* 1 alpha))))) into (+ (/ i (fma i 2 alpha)) (+ (/ beta (fma i 2 alpha)) (/ alpha (fma i 2 alpha))))
* [misc]approximate:  Taking taylor expansion of (/ (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta))) in (alpha i beta) around 0
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 alpha) (/ 1 i)) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta))) in i
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) in i
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 alpha) (/ 1 i)) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) into (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) into (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 alpha) (/ 1 i)) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) into (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) into (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 alpha) (/ 1 i)) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) into (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) into (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) into (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) into (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 i)) into (/ 1 i)
* [misc]backup-simplify:  Simplify (+ (/ 1 i) (/ 1 beta)) into (+ (/ 1 beta) (/ 1 i))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ (+ (/ 1 beta) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (+ (* (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (/ 0 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))) into (+ (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i)) (/ 1 (* beta (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i)) (/ 1 (* beta (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i)) in i
* [misc]taylor:  Taking taylor expansion of (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i) in i
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) into (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) 1) (* 0 0)) into (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) into (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (/ 1 (* beta (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (* beta (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) into (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* beta (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) into (* beta (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (/ 1 (* beta (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) into (/ 1 (* beta (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (+ (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 0) into (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (+ (* (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (/ 0 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (* (+ (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i)) (/ 1 (* beta (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) (/ 0 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) 0) (+ (* 0 1) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (/ 0 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 (* beta (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) into (/ 1 (* beta (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))
* [misc]taylor:  Taking taylor expansion of (/ 1 (* beta (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (* beta (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (* 0 1) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (fma (/ 1 i) 2 (/ 1 alpha))) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (* 0 (fma (/ 1 i) 2 (/ 1 alpha))) (* 1 1)) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (/ 0 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ (* 1 (* (/ 1 beta) (* 1 (/ 1 (/ 1 alpha))))) (+ (* 1 (* (/ 1 beta) (* (/ 1 (/ 1 i)) 1))) 1)) into (+ 1 (+ (/ alpha beta) (/ i beta)))
* [misc]approximate:  Taking taylor expansion of (/ (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta)))) in (alpha i beta) around 0
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta)))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- alpha)) (/ 1 (- i))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in beta
* [misc]taylor:  Taking taylor expansion of (- i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (/ -1 -1) into 1
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta)))) in i
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) in i
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- alpha)) (/ 1 (- i))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in i
* [misc]taylor:  Taking taylor expansion of (- alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in i
* [misc]taylor:  Taking taylor expansion of (- i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in i
* [misc]taylor:  Taking taylor expansion of (- beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in i
* [misc]taylor:  Taking taylor expansion of (- beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (+ (fma (/ -1 i) 2 (/ -1 alpha)) (/ -1 beta)) into (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))
* [misc]backup-simplify:  Simplify (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) into (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta)))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- alpha)) (/ 1 (- i))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (- alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in alpha
* [misc]taylor:  Taking taylor expansion of (- i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (+ (fma (/ -1 i) 2 (/ -1 alpha)) (/ -1 beta)) into (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))
* [misc]backup-simplify:  Simplify (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) into (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta)))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- alpha)) (/ 1 (- i))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (- alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in alpha
* [misc]taylor:  Taking taylor expansion of (- i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (+ (fma (/ -1 i) 2 (/ -1 alpha)) (/ -1 beta)) into (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))
* [misc]backup-simplify:  Simplify (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) into (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))
* [misc]taylor:  Taking taylor expansion of (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) in i
* [misc]taylor:  Taking taylor expansion of -1 in i
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]taylor:  Taking taylor expansion of (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]backup-simplify:  Simplify (- (/ 1 beta)) into (- (/ 1 beta))
* [misc]backup-simplify:  Simplify (+ (fma (/ -1 i) 2 (/ -1 alpha)) (- (/ 1 beta))) into (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))
* [misc]backup-simplify:  Simplify (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) into (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (/ -1 i)) into (- (/ 1 i))
* [misc]backup-simplify:  Simplify (+ (- (/ 1 i)) (/ -1 beta)) into (- (+ (/ 1 beta) (/ 1 i)))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 beta) (/ 0 (- beta))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ (- (+ (/ 1 beta) (/ 1 i))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (+ (* (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (/ 0 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))) into (- (+ (/ 1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i)) (/ 1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) beta))))
* [misc]taylor:  Taking taylor expansion of (- (+ (/ 1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i)) (/ 1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) beta)))) in i
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i)) (/ 1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) beta))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i)) in i
* [misc]taylor:  Taking taylor expansion of (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i) in i
* [misc]taylor:  Taking taylor expansion of (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- (/ 1 beta)) into (- (/ 1 beta))
* [misc]backup-simplify:  Simplify (+ (fma (/ -1 i) 2 (/ -1 alpha)) (- (/ 1 beta))) into (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))
* [misc]backup-simplify:  Simplify (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) 1) (* 0 0)) into (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))
* [misc]backup-simplify:  Simplify (/ 1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) into (/ 1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) beta)) in i
* [misc]taylor:  Taking taylor expansion of (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) beta) in i
* [misc]taylor:  Taking taylor expansion of (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- (/ 1 beta)) into (- (/ 1 beta))
* [misc]backup-simplify:  Simplify (+ (fma (/ -1 i) 2 (/ -1 alpha)) (- (/ 1 beta))) into (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))
* [misc]backup-simplify:  Simplify (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) beta) into (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) beta)
* [misc]backup-simplify:  Simplify (/ 1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) beta)) into (/ 1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) beta))
* [misc]backup-simplify:  Simplify (+ (/ 1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) 0) into (/ 1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))
* [misc]backup-simplify:  Simplify (- (/ 1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))) into (- (/ 1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))
* [misc]taylor:  Taking taylor expansion of (- (/ 1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) in beta
* [misc]taylor:  Taking taylor expansion of (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in beta
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) in beta
* [misc]taylor:  Taking taylor expansion of -1 in beta
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]taylor:  Taking taylor expansion of (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in beta
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (/ -1 -1) into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 i) (/ 0 (- i))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 beta) (/ 0 (- beta))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 beta) (/ 0 (- beta))) (* 0 (/ 0 (- beta))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (+ (* (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (/ 0 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))) (* (- (+ (/ 1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i)) (/ 1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) beta)))) (/ 0 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) 0) (+ (* 0 1) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (/ 0 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) beta))) into (/ 1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) beta))
* [misc]backup-simplify:  Simplify (- (/ 1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) beta))) into (- (/ 1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) beta)))
* [misc]taylor:  Taking taylor expansion of (- (/ 1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) beta))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) beta)) in beta
* [misc]taylor:  Taking taylor expansion of (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) beta) in beta
* [misc]taylor:  Taking taylor expansion of (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in beta
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (* -1 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (fma (/ -1 i) 2 (/ -1 alpha)) 0) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (+ (* -1 1) (* (fma (/ -1 i) 2 (/ -1 alpha)) 0)) into (- 1)
* [misc]backup-simplify:  Simplify (/ 1 (- 1)) into -1
* [misc]backup-simplify:  Simplify (- -1) into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (+ (* (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (/ 0 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- -1) into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ (* 1 (* (/ 1 (- beta)) (* 1 (/ 1 (/ 1 (- alpha)))))) (+ (* 1 (* (/ 1 (- beta)) (* (/ 1 (/ 1 (- i))) 1))) 1)) into (+ 1 (+ (/ alpha beta) (/ i beta)))
* [misc]approximate:  Taking taylor expansion of (/ i (+ (fma i 2 alpha) beta)) in (i alpha beta) around 0
* [misc]taylor:  Taking taylor expansion of (/ i (+ (fma i 2 alpha) beta)) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (+ (fma i 2 alpha) beta) in beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in beta
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ (fma i 2 alpha) 0) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (/ i (fma i 2 alpha)) into (/ i (fma i 2 alpha))
* [misc]taylor:  Taking taylor expansion of (/ i (+ (fma i 2 alpha) beta)) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (+ (fma i 2 alpha) beta) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (+ (fma i 2 alpha) beta) into (+ beta (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (/ i (+ beta (fma i 2 alpha))) into (/ i (+ beta (fma i 2 alpha)))
* [misc]taylor:  Taking taylor expansion of (/ i (+ (fma i 2 alpha) beta)) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ (fma i 2 alpha) beta) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (+ (fma i 2 alpha) beta) into (+ beta (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (/ 1 (+ beta (fma i 2 alpha))) into (/ 1 (+ beta (fma i 2 alpha)))
* [misc]taylor:  Taking taylor expansion of (/ i (+ (fma i 2 alpha) beta)) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ (fma i 2 alpha) beta) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (+ (fma i 2 alpha) beta) into (+ beta (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (/ 1 (+ beta (fma i 2 alpha))) into (/ 1 (+ beta (fma i 2 alpha)))
* [misc]taylor:  Taking taylor expansion of (/ 1 (+ beta (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ beta (fma i 2 alpha)) into (+ beta (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (/ 1 (+ beta (fma i 2 alpha))) into (/ 1 (+ beta (fma i 2 alpha)))
* [misc]taylor:  Taking taylor expansion of (/ 1 (+ beta (fma i 2 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in beta
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ 0 (fma i 2 alpha)) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (/ 1 (fma i 2 alpha)) into (/ 1 (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (/ 1 (fma i 2 alpha)) into (/ 1 (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ beta (fma i 2 alpha))) (+ (* (/ 1 (+ beta (fma i 2 alpha))) (/ 0 (+ beta (fma i 2 alpha)))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (+ beta (fma i 2 alpha))) (/ 0 (+ beta (fma i 2 alpha)))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (fma i 2 alpha)) (/ 1 (fma i 2 alpha))))) into (- (/ 1 (sqr (fma i 2 alpha))))
* [misc]backup-simplify:  Simplify (- (/ 1 (sqr (fma i 2 alpha)))) into (- (/ 1 (sqr (fma i 2 alpha))))
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ beta (fma i 2 alpha))) (+ (* (/ 1 (+ beta (fma i 2 alpha))) (/ 0 (+ beta (fma i 2 alpha)))) (* 0 (/ 0 (+ beta (fma i 2 alpha)))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (+ beta (fma i 2 alpha))) (/ 0 (+ beta (fma i 2 alpha)))) (* 0 (/ 0 (+ beta (fma i 2 alpha)))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (fma i 2 alpha)) (/ 0 (fma i 2 alpha))) (* (- (/ 1 (sqr (fma i 2 alpha)))) (/ 1 (fma i 2 alpha))))) into (/ 1 (pow (fma i 2 alpha) 3))
* [misc]backup-simplify:  Simplify (/ 1 (pow (fma i 2 alpha) 3)) into (/ 1 (pow (fma i 2 alpha) 3))
* [misc]backup-simplify:  Simplify (+ (* (/ 1 (pow (fma i 2 alpha) 3)) (* (sqr beta) (* 1 i))) (+ (* (- (/ 1 (sqr (fma i 2 alpha)))) (* beta (* 1 i))) (* (/ 1 (fma i 2 alpha)) (* 1 (* 1 i))))) into (- (+ (/ i (fma i 2 alpha)) (/ (* (sqr beta) i) (pow (fma i 2 alpha) 3))) (/ (* beta i) (sqr (fma i 2 alpha))))
* [misc]approximate:  Taking taylor expansion of (/ (/ 1 i) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta))) in (i alpha beta) around 0
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 i) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (/ (/ 1 i) 1) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 i) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]backup-simplify:  Simplify (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) into (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) into (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 i) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]backup-simplify:  Simplify (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) into (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) into (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 i) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]backup-simplify:  Simplify (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) into (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) into (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) into (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) into (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (+ (* (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (/ 0 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (/ 0 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (fma (/ 1 i) 2 (/ 1 alpha))) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ (fma (/ 1 i) 2 (/ 1 alpha)) 1)))) into (- (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (- (fma (/ 1 i) 2 (/ 1 alpha))) into (- (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (+ (* (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (/ 0 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (* 0 (/ 0 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (/ 0 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (* 0 (/ 0 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* (- (fma (/ 1 i) 2 (/ 1 alpha))) (/ (fma (/ 1 i) 2 (/ 1 alpha)) 1)))) into (sqr (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (sqr (fma (/ 1 i) 2 (/ 1 alpha))) into (sqr (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (+ (* (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* (pow (/ 1 beta) 3) (* 1 (/ 1 (/ 1 i))))) (+ (* (- (fma (/ 1 i) 2 (/ 1 alpha))) (* (sqr (/ 1 beta)) (* 1 (/ 1 (/ 1 i))))) (* 1 (* (/ 1 beta) (* 1 (/ 1 (/ 1 i))))))) into (- (+ (/ (* (sqr (fma (/ 1 i) 2 (/ 1 alpha))) i) (pow beta 3)) (/ i beta)) (/ (* (fma (/ 1 i) 2 (/ 1 alpha)) i) (sqr beta)))
* [misc]approximate:  Taking taylor expansion of (/ (/ 1 (- i)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta)))) in (i alpha beta) around 0
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- i)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in beta
* [misc]taylor:  Taking taylor expansion of (- i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (/ (/ -1 i) -1) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- i)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta)))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in alpha
* [misc]taylor:  Taking taylor expansion of (- i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]backup-simplify:  Simplify (+ (fma (/ -1 i) 2 (/ -1 alpha)) (/ -1 beta)) into (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))
* [misc]backup-simplify:  Simplify (/ (/ -1 i) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) into (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- i)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta)))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in i
* [misc]taylor:  Taking taylor expansion of (- i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in i
* [misc]taylor:  Taking taylor expansion of (- beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]backup-simplify:  Simplify (+ (fma (/ -1 i) 2 (/ -1 alpha)) (/ -1 beta)) into (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))
* [misc]backup-simplify:  Simplify (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) into (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- i)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta)))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in i
* [misc]taylor:  Taking taylor expansion of (- i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in i
* [misc]taylor:  Taking taylor expansion of (- beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]backup-simplify:  Simplify (+ (fma (/ -1 i) 2 (/ -1 alpha)) (/ -1 beta)) into (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))
* [misc]backup-simplify:  Simplify (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) into (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))
* [misc]taylor:  Taking taylor expansion of (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) in alpha
* [misc]taylor:  Taking taylor expansion of -1 in alpha
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]taylor:  Taking taylor expansion of (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]backup-simplify:  Simplify (- (/ 1 beta)) into (- (/ 1 beta))
* [misc]backup-simplify:  Simplify (+ (fma (/ -1 i) 2 (/ -1 alpha)) (- (/ 1 beta))) into (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))
* [misc]backup-simplify:  Simplify (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) into (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))
* [misc]taylor:  Taking taylor expansion of (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) in beta
* [misc]taylor:  Taking taylor expansion of -1 in beta
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]taylor:  Taking taylor expansion of (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in beta
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (/ -1 -1) into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 beta) (/ 0 (- beta))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (+ (* (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (/ 0 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (+ (* (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (/ 0 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (fma (/ -1 i) 2 (/ -1 alpha)) 0) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (- (/ 0 -1) (+ (* 1 (/ (fma (/ -1 i) 2 (/ -1 alpha)) -1)))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 beta) (/ 0 (- beta))) (* 0 (/ 0 (- beta))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (+ (* (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (/ 0 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))) (* 0 (/ 0 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (+ (* (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (/ 0 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))) (* 0 (/ 0 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 -1) (+ (* 1 (/ 0 -1)) (* (fma (/ -1 i) 2 (/ -1 alpha)) (/ (fma (/ -1 i) 2 (/ -1 alpha)) -1)))) into (sqr (fma (/ -1 i) 2 (/ -1 alpha)))
* [misc]backup-simplify:  Simplify (sqr (fma (/ -1 i) 2 (/ -1 alpha))) into (sqr (fma (/ -1 i) 2 (/ -1 alpha)))
* [misc]backup-simplify:  Simplify (+ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (* (pow (/ 1 (- beta)) 3) (* 1 (/ 1 (/ 1 (- i)))))) (+ (* (fma (/ -1 i) 2 (/ -1 alpha)) (* (sqr (/ 1 (- beta))) (* 1 (/ 1 (/ 1 (- i)))))) (* 1 (* (/ 1 (- beta)) (* 1 (/ 1 (/ 1 (- i)))))))) into (- (+ (/ i beta) (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) i) (pow beta 3))) (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) i) (sqr beta)))
* * * [misc]progress:  tayloring alt 5 of 10
* [misc]approximate:  Taking taylor expansion of (sqrt (- (sqr (+ beta (fma i 2 alpha))) 1.0)) in (beta i alpha) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (- (sqr (+ beta (fma i 2 alpha))) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (- (sqr (+ beta (fma i 2 alpha))) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (+ beta (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (+ beta (fma i 2 alpha)) into (+ beta (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* (+ beta (fma i 2 alpha)) (+ beta (fma i 2 alpha))) into (sqr (+ beta (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (+ beta (fma i 2 alpha))) (- 1.0)) into (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0)
* [misc]backup-simplify:  Simplify (sqrt (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0)) into (sqrt (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0))
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ beta (fma i 2 alpha)) 0) (* 0 (+ beta (fma i 2 alpha)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0)))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (- (sqr (+ beta (fma i 2 alpha))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (sqr (+ beta (fma i 2 alpha))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (sqr (+ beta (fma i 2 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (+ beta (fma i 2 alpha)) into (+ beta (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* (+ beta (fma i 2 alpha)) (+ beta (fma i 2 alpha))) into (sqr (+ beta (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (+ beta (fma i 2 alpha))) (- 1.0)) into (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0)
* [misc]backup-simplify:  Simplify (sqrt (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0)) into (sqrt (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0))
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ beta (fma i 2 alpha)) 0) (* 0 (+ beta (fma i 2 alpha)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0)))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (- (sqr (+ beta (fma i 2 alpha))) 1.0)) in beta
* [misc]taylor:  Taking taylor expansion of (- (sqr (+ beta (fma i 2 alpha))) 1.0) in beta
* [misc]taylor:  Taking taylor expansion of (sqr (+ beta (fma i 2 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in beta
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (+ 0 (fma i 2 alpha)) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (sqrt (- (sqr (fma i 2 alpha)) 1.0)) into (sqrt (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 1) (* 1 (fma i 2 alpha))) into (* 2 (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 (fma i 2 alpha)) 0) into (* 2 (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (/ (* 2 (fma i 2 alpha)) (* 2 (sqrt (- (sqr (fma i 2 alpha)) 1.0)))) into (* (fma i 2 alpha) (sqrt (/ 1 (- (sqr (fma i 2 alpha)) 1.0))))
* [misc]taylor:  Taking taylor expansion of (sqrt (- (sqr (+ beta (fma i 2 alpha))) 1.0)) in beta
* [misc]taylor:  Taking taylor expansion of (- (sqr (+ beta (fma i 2 alpha))) 1.0) in beta
* [misc]taylor:  Taking taylor expansion of (sqr (+ beta (fma i 2 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in beta
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (+ 0 (fma i 2 alpha)) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (sqrt (- (sqr (fma i 2 alpha)) 1.0)) into (sqrt (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 1) (* 1 (fma i 2 alpha))) into (* 2 (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 (fma i 2 alpha)) 0) into (* 2 (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (/ (* 2 (fma i 2 alpha)) (* 2 (sqrt (- (sqr (fma i 2 alpha)) 1.0)))) into (* (fma i 2 alpha) (sqrt (/ 1 (- (sqr (fma i 2 alpha)) 1.0))))
* [misc]taylor:  Taking taylor expansion of (sqrt (- (sqr (fma i 2 alpha)) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (sqrt (- (sqr (fma i 2 alpha)) 1.0)) into (sqrt (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 0) (* 0 (fma i 2 alpha))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (- (sqr (fma i 2 alpha)) 1.0)))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (- (sqr (fma i 2 alpha)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (sqrt (- (sqr (fma i 2 alpha)) 1.0)) into (sqrt (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 0) (* 0 (fma i 2 alpha))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (- (sqr (fma i 2 alpha)) 1.0)))) into 0
* [misc]backup-simplify:  Simplify (sqrt (- (sqr (fma i 2 alpha)) 1.0)) into (sqrt (- (sqr (fma i 2 alpha)) 1.0))
* [misc]taylor:  Taking taylor expansion of (* (fma i 2 alpha) (sqrt (/ 1 (- (sqr (fma i 2 alpha)) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 (- (sqr (fma i 2 alpha)) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- (sqr (fma i 2 alpha)) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (/ 1 (- (sqr (fma i 2 alpha)) 1.0)) into (/ 1 (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (sqrt (/ 1 (- (sqr (fma i 2 alpha)) 1.0))) into (sqrt (/ 1 (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 0) (* 0 (fma i 2 alpha))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (- (sqr (fma i 2 alpha)) 1.0)) (/ 0 (- (sqr (fma i 2 alpha)) 1.0))))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (/ 1 (- (sqr (fma i 2 alpha)) 1.0))))) into 0
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (sqrt (/ 1 (- (sqr (fma i 2 alpha)) 1.0)))) into (* (fma i 2 alpha) (sqrt (/ 1 (- (sqr (fma i 2 alpha)) 1.0))))
* [misc]taylor:  Taking taylor expansion of (* (fma i 2 alpha) (sqrt (/ 1 (- (sqr (fma i 2 alpha)) 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 (- (sqr (fma i 2 alpha)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- (sqr (fma i 2 alpha)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (/ 1 (- (sqr (fma i 2 alpha)) 1.0)) into (/ 1 (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (sqrt (/ 1 (- (sqr (fma i 2 alpha)) 1.0))) into (sqrt (/ 1 (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 0) (* 0 (fma i 2 alpha))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (- (sqr (fma i 2 alpha)) 1.0)) (/ 0 (- (sqr (fma i 2 alpha)) 1.0))))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (/ 1 (- (sqr (fma i 2 alpha)) 1.0))))) into 0
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (sqrt (/ 1 (- (sqr (fma i 2 alpha)) 1.0)))) into (* (fma i 2 alpha) (sqrt (/ 1 (- (sqr (fma i 2 alpha)) 1.0))))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (sqrt (/ 1 (- (sqr (fma i 2 alpha)) 1.0)))) into (* (fma i 2 alpha) (sqrt (/ 1 (- (sqr (fma i 2 alpha)) 1.0))))
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 0) (+ (* 1 1) (* 0 (fma i 2 alpha)))) into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (- 1 (sqr (* (fma i 2 alpha) (sqrt (/ 1 (- (sqr (fma i 2 alpha)) 1.0))))) (+)) (* 2 (sqrt (- (sqr (fma i 2 alpha)) 1.0)))) into (* 1/2 (* (- 1 (/ (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (sqrt (/ 1 (- (sqr (fma i 2 alpha)) 1.0)))))
* [misc]taylor:  Taking taylor expansion of (* 1/2 (* (- 1 (/ (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (sqrt (/ 1 (- (sqr (fma i 2 alpha)) 1.0))))) in i
* [misc]taylor:  Taking taylor expansion of 1/2 in i
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (* (- 1 (/ (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (sqrt (/ 1 (- (sqr (fma i 2 alpha)) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (- 1 (/ (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 1 in i
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (/ (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (/ (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)) into (/ (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 (- (sqr (fma i 2 alpha)) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- (sqr (fma i 2 alpha)) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (/ 1 (- (sqr (fma i 2 alpha)) 1.0)) into (/ 1 (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (sqrt (/ 1 (- (sqr (fma i 2 alpha)) 1.0))) into (sqrt (/ 1 (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 0) (* 0 (fma i 2 alpha))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (- (sqr (fma i 2 alpha)) 1.0)) (/ 0 (- (sqr (fma i 2 alpha)) 1.0))))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (/ 1 (- (sqr (fma i 2 alpha)) 1.0))))) into 0
* [misc]backup-simplify:  Simplify (- (/ (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) into (- (/ (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (+ 1 (- (/ (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))) into (- 1 (/ (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (* (- 1 (/ (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (sqrt (/ 1 (- (sqr (fma i 2 alpha)) 1.0)))) into (* (- 1 (/ (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (sqrt (/ 1 (- (sqr (fma i 2 alpha)) 1.0))))
* [misc]backup-simplify:  Simplify (* 1/2 (* (- 1 (/ (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (sqrt (/ 1 (- (sqr (fma i 2 alpha)) 1.0))))) into (* 1/2 (* (- 1 (/ (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (sqrt (/ 1 (- (sqr (fma i 2 alpha)) 1.0)))))
* [misc]taylor:  Taking taylor expansion of (* 1/2 (* (- 1 (/ (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (sqrt (/ 1 (- (sqr (fma i 2 alpha)) 1.0))))) in alpha
* [misc]taylor:  Taking taylor expansion of 1/2 in alpha
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (* (- 1 (/ (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (sqrt (/ 1 (- (sqr (fma i 2 alpha)) 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of (- 1 (/ (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of 1 in alpha
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (/ (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (/ (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)) into (/ (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 (- (sqr (fma i 2 alpha)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- (sqr (fma i 2 alpha)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (/ 1 (- (sqr (fma i 2 alpha)) 1.0)) into (/ 1 (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (sqrt (/ 1 (- (sqr (fma i 2 alpha)) 1.0))) into (sqrt (/ 1 (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 0) (* 0 (fma i 2 alpha))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (- (sqr (fma i 2 alpha)) 1.0)) (/ 0 (- (sqr (fma i 2 alpha)) 1.0))))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (/ 1 (- (sqr (fma i 2 alpha)) 1.0))))) into 0
* [misc]backup-simplify:  Simplify (- (/ (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) into (- (/ (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (+ 1 (- (/ (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))) into (- 1 (/ (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (* (- 1 (/ (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (sqrt (/ 1 (- (sqr (fma i 2 alpha)) 1.0)))) into (* (- 1 (/ (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (sqrt (/ 1 (- (sqr (fma i 2 alpha)) 1.0))))
* [misc]backup-simplify:  Simplify (* 1/2 (* (- 1 (/ (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (sqrt (/ 1 (- (sqr (fma i 2 alpha)) 1.0))))) into (* 1/2 (* (- 1 (/ (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (sqrt (/ 1 (- (sqr (fma i 2 alpha)) 1.0)))))
* [misc]backup-simplify:  Simplify (* 1/2 (* (- 1 (/ (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (sqrt (/ 1 (- (sqr (fma i 2 alpha)) 1.0))))) into (* 1/2 (* (- 1 (/ (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (sqrt (/ 1 (- (sqr (fma i 2 alpha)) 1.0)))))
* [misc]backup-simplify:  Simplify (+ (* (* 1/2 (* (- 1 (/ (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (sqrt (/ 1 (- (sqr (fma i 2 alpha)) 1.0))))) (sqr (* 1 (* 1 beta)))) (+ (* (* (fma i 2 alpha) (sqrt (/ 1 (- (sqr (fma i 2 alpha)) 1.0)))) (* 1 (* 1 beta))) (sqrt (- (sqr (fma i 2 alpha)) 1.0)))) into (- (+ (* (* beta (fma i 2 alpha)) (sqrt (/ 1 (- (sqr (fma i 2 alpha)) 1.0)))) (+ (sqrt (- (sqr (fma i 2 alpha)) 1.0)) (* 1/2 (* (sqr beta) (sqrt (/ 1 (- (sqr (fma i 2 alpha)) 1.0))))))) (* 1/2 (* (* (sqr beta) (sqr (fma i 2 alpha))) (sqrt (/ 1 (pow (- (sqr (fma i 2 alpha)) 1.0) 3))))))
* [misc]approximate:  Taking taylor expansion of (sqrt (- (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0)) in (beta i alpha) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (- (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (- (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) into (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) into (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (- 1.0)) into (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0)
* [misc]backup-simplify:  Simplify (sqrt (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0)) into (sqrt (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) 0) (* 0 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0)))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (- (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) into (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) into (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (- 1.0)) into (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0)
* [misc]backup-simplify:  Simplify (sqrt (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0)) into (sqrt (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) 0) (* 0 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0)))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (- (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0)) in beta
* [misc]taylor:  Taking taylor expansion of (- (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0) in beta
* [misc]taylor:  Taking taylor expansion of (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (fma (/ 1 i) 2 (/ 1 alpha))) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (* 1 (fma (/ 1 i) 2 (/ 1 alpha))) (* (fma (/ 1 i) 2 (/ 1 alpha)) 1)) into (* 2 (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (+ (* 2 (fma (/ 1 i) 2 (/ 1 alpha))) 0) into (* 2 (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ (* 2 (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (sqrt 1))) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (sqrt (- (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0)) in beta
* [misc]taylor:  Taking taylor expansion of (- (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0) in beta
* [misc]taylor:  Taking taylor expansion of (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (fma (/ 1 i) 2 (/ 1 alpha))) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (* 1 (fma (/ 1 i) 2 (/ 1 alpha))) (* (fma (/ 1 i) 2 (/ 1 alpha)) 1)) into (* 2 (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (+ (* 2 (fma (/ 1 i) 2 (/ 1 alpha))) 0) into (* 2 (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ (* 2 (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (sqrt 1))) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of 1 in i
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 1 in alpha
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 i) 2 (/ 1 alpha))) (* 0 1))) into (sqr (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (- 1.0)) into (- (sqr (fma (/ 1 i) 2 (/ 1 alpha))) 1.0)
* [misc]backup-simplify:  Simplify (/ (- (- (sqr (fma (/ 1 i) 2 (/ 1 alpha))) 1.0) (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (+)) (* 2 1)) into -0.5
* [misc]taylor:  Taking taylor expansion of -0.5 in i
* [misc]backup-simplify:  Simplify -0.5 into -0.5
* [misc]taylor:  Taking taylor expansion of -0.5 in alpha
* [misc]backup-simplify:  Simplify -0.5 into -0.5
* [misc]backup-simplify:  Simplify -0.5 into -0.5
* [misc]backup-simplify:  Simplify (+ (* -0.5 (* 1 (* 1 (/ 1 beta)))) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (* 1 (* 1 (* 1 (/ 1 (/ 1 beta))))))) into (- (+ beta (fma (/ 1 i) 2 (/ 1 alpha))) (* 0.5 (/ 1 beta)))
* [misc]approximate:  Taking taylor expansion of (sqrt (- (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) 1.0)) in (beta i alpha) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (- (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (- (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (+ (/ -1 beta) (fma (/ -1 i) 2 (/ -1 alpha))) into (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))
* [misc]backup-simplify:  Simplify (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) into (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (- 1.0)) into (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0))
* [misc]backup-simplify:  Simplify (sqrt (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0))) into (sqrt (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0)))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 beta) (/ 0 (- beta))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) 0) (* 0 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (- (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in i
* [misc]taylor:  Taking taylor expansion of (- beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (+ (/ -1 beta) (fma (/ -1 i) 2 (/ -1 alpha))) into (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))
* [misc]backup-simplify:  Simplify (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) into (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (- 1.0)) into (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0))
* [misc]backup-simplify:  Simplify (sqrt (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0))) into (sqrt (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0)))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 beta) (/ 0 (- beta))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) 0) (* 0 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (- (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) 1.0)) in beta
* [misc]taylor:  Taking taylor expansion of (- (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) 1.0) in beta
* [misc]taylor:  Taking taylor expansion of (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (fma (/ -1 i) 2 (/ -1 alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (+ (* -1 (fma (/ -1 i) 2 (/ -1 alpha))) (* (fma (/ -1 i) 2 (/ -1 alpha)) -1)) into (- (* 2 (fma (/ -1 i) 2 (/ -1 alpha))))
* [misc]backup-simplify:  Simplify (+ (- (* 2 (fma (/ -1 i) 2 (/ -1 alpha)))) 0) into (- (* 2 (fma (/ -1 i) 2 (/ -1 alpha))))
* [misc]backup-simplify:  Simplify (/ (- (* 2 (fma (/ -1 i) 2 (/ -1 alpha)))) (* 2 (sqrt 1))) into (* -1 (fma (/ -1 i) 2 (/ -1 alpha)))
* [misc]taylor:  Taking taylor expansion of (sqrt (- (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) 1.0)) in beta
* [misc]taylor:  Taking taylor expansion of (- (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) 1.0) in beta
* [misc]taylor:  Taking taylor expansion of (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (fma (/ -1 i) 2 (/ -1 alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (+ (* -1 (fma (/ -1 i) 2 (/ -1 alpha))) (* (fma (/ -1 i) 2 (/ -1 alpha)) -1)) into (- (* 2 (fma (/ -1 i) 2 (/ -1 alpha))))
* [misc]backup-simplify:  Simplify (+ (- (* 2 (fma (/ -1 i) 2 (/ -1 alpha)))) 0) into (- (* 2 (fma (/ -1 i) 2 (/ -1 alpha))))
* [misc]backup-simplify:  Simplify (/ (- (* 2 (fma (/ -1 i) 2 (/ -1 alpha)))) (* 2 (sqrt 1))) into (* -1 (fma (/ -1 i) 2 (/ -1 alpha)))
* [misc]taylor:  Taking taylor expansion of 1 in i
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 1 in alpha
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* -1 (fma (/ -1 i) 2 (/ -1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of -1 in i
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (* -1 (fma (/ -1 i) 2 (/ -1 alpha))) into (* -1 (fma (/ -1 i) 2 (/ -1 alpha)))
* [misc]taylor:  Taking taylor expansion of (* -1 (fma (/ -1 i) 2 (/ -1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of -1 in alpha
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (* -1 (fma (/ -1 i) 2 (/ -1 alpha))) into (* -1 (fma (/ -1 i) 2 (/ -1 alpha)))
* [misc]backup-simplify:  Simplify (* -1 (fma (/ -1 i) 2 (/ -1 alpha))) into (* -1 (fma (/ -1 i) 2 (/ -1 alpha)))
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) 2 (/ -1 alpha))) (* 0 -1))) into (sqr (fma (/ -1 i) 2 (/ -1 alpha)))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (- 1.0)) into (- (sqr (fma (/ -1 i) 2 (/ -1 alpha))) 1.0)
* [misc]backup-simplify:  Simplify (/ (- (- (sqr (fma (/ -1 i) 2 (/ -1 alpha))) 1.0) (sqr (* -1 (fma (/ -1 i) 2 (/ -1 alpha)))) (+)) (* 2 1)) into -0.5
* [misc]taylor:  Taking taylor expansion of -0.5 in i
* [misc]backup-simplify:  Simplify -0.5 into -0.5
* [misc]taylor:  Taking taylor expansion of -0.5 in alpha
* [misc]backup-simplify:  Simplify -0.5 into -0.5
* [misc]backup-simplify:  Simplify -0.5 into -0.5
* [misc]backup-simplify:  Simplify (+ (* -0.5 (* 1 (* 1 (/ 1 (- beta))))) (+ (* -1 (fma (/ -1 i) 2 (/ -1 alpha))) (* 1 (* 1 (* 1 (/ 1 (/ 1 (- beta)))))))) into (- (* 0.5 (/ 1 beta)) (+ (fma (/ -1 i) 2 (/ -1 alpha)) beta))
* [misc]approximate:  Taking taylor expansion of (sqrt (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta)))) in (beta alpha i) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta)))) in i
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) in i
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (+ (+ beta alpha) i) in i
* [misc]taylor:  Taking taylor expansion of (+ beta alpha) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ beta alpha) into (+ beta alpha)
* [misc]backup-simplify:  Simplify (+ (+ beta alpha) 0) into (+ beta alpha)
* [misc]backup-simplify:  Simplify (+ beta (fma i 2 alpha)) into (+ beta (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (/ (+ beta alpha) (+ beta (fma i 2 alpha))) into (/ (+ beta alpha) (+ beta (fma i 2 alpha)))
* [misc]taylor:  Taking taylor expansion of (fma i (+ (+ beta alpha) i) (* alpha beta)) in i
* [misc]backup-simplify:  Simplify (fma i (+ (+ beta alpha) i) (* alpha beta)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]backup-simplify:  Simplify (* (/ (+ beta alpha) (+ beta (fma i 2 alpha))) (fma i (+ beta (+ alpha i)) (* beta alpha))) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (+ beta alpha)) (+ beta (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (sqrt (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (+ beta alpha)) (+ beta (fma i 2 alpha)))) into (sqrt (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (+ beta alpha)) (+ beta (fma i 2 alpha))))
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 1 (+ beta (fma i 2 alpha))) (+ (* (/ (+ beta alpha) (+ beta (fma i 2 alpha))) (/ 0 (+ beta (fma i 2 alpha)))))) into (/ 1 (+ beta (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (+ (* (/ (+ beta alpha) (+ beta (fma i 2 alpha))) 0) (* (/ 1 (+ beta (fma i 2 alpha))) (fma i (+ beta (+ alpha i)) (* beta alpha)))) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (+ beta (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (/ (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (+ beta (fma i 2 alpha))) (* 2 (sqrt (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (+ beta alpha)) (+ beta (fma i 2 alpha)))))) into (* 1/2 (sqrt (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (+ beta (fma i 2 alpha)) (+ beta alpha)))))
* [misc]taylor:  Taking taylor expansion of (sqrt (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ beta alpha) i) in alpha
* [misc]taylor:  Taking taylor expansion of (+ beta alpha) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (+ beta i) into (+ beta i)
* [misc]backup-simplify:  Simplify (+ beta (fma i 2 alpha)) into (+ beta (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (/ (+ beta i) (+ beta (fma i 2 alpha))) into (/ (+ beta i) (+ beta (fma i 2 alpha)))
* [misc]taylor:  Taking taylor expansion of (fma i (+ (+ beta alpha) i) (* alpha beta)) in alpha
* [misc]backup-simplify:  Simplify (fma i (+ (+ beta alpha) i) (* alpha beta)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]backup-simplify:  Simplify (* (/ (+ beta i) (+ beta (fma i 2 alpha))) (fma i (+ beta (+ alpha i)) (* beta alpha))) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (+ beta i)) (+ beta (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (sqrt (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (+ beta i)) (+ beta (fma i 2 alpha)))) into (sqrt (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (+ beta i)) (+ beta (fma i 2 alpha))))
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 1 (+ beta (fma i 2 alpha))) (+ (* (/ (+ beta i) (+ beta (fma i 2 alpha))) (/ 0 (+ beta (fma i 2 alpha)))))) into (/ 1 (+ beta (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (+ (* (/ (+ beta i) (+ beta (fma i 2 alpha))) 0) (* (/ 1 (+ beta (fma i 2 alpha))) (fma i (+ beta (+ alpha i)) (* beta alpha)))) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (+ beta (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (/ (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (+ beta (fma i 2 alpha))) (* 2 (sqrt (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (+ beta i)) (+ beta (fma i 2 alpha)))))) into (* 1/2 (sqrt (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (+ beta (fma i 2 alpha)) (+ beta i)))))
* [misc]taylor:  Taking taylor expansion of (sqrt (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta)))) in beta
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ beta alpha) i) in beta
* [misc]taylor:  Taking taylor expansion of (+ beta alpha) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in beta
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ 0 alpha) into alpha
* [misc]backup-simplify:  Simplify (+ alpha i) into (+ alpha i)
* [misc]backup-simplify:  Simplify (+ 0 (fma i 2 alpha)) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (/ (+ alpha i) (fma i 2 alpha)) into (/ (+ alpha i) (fma i 2 alpha))
* [misc]taylor:  Taking taylor expansion of (fma i (+ (+ beta alpha) i) (* alpha beta)) in beta
* [misc]backup-simplify:  Simplify (fma i (+ (+ beta alpha) i) (* alpha beta)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]backup-simplify:  Simplify (* (/ (+ alpha i) (fma i 2 alpha)) (fma i (+ beta (+ alpha i)) (* beta alpha))) into (/ (* (+ alpha i) (fma i (+ beta (+ alpha i)) (* beta alpha))) (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (sqrt (/ (* (+ alpha i) (fma i (+ beta (+ alpha i)) (* beta alpha))) (fma i 2 alpha))) into (sqrt (/ (* (+ alpha i) (fma i (+ beta (+ alpha i)) (* beta alpha))) (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (- (/ 1 (fma i 2 alpha)) (+ (* (/ (+ alpha i) (fma i 2 alpha)) (/ 1 (fma i 2 alpha))))) into (- (/ 1 (fma i 2 alpha)) (+ (/ i (sqr (fma i 2 alpha))) (/ alpha (sqr (fma i 2 alpha)))))
* [misc]backup-simplify:  Simplify (+ (* (/ (+ alpha i) (fma i 2 alpha)) 0) (* (- (/ 1 (fma i 2 alpha)) (+ (/ i (sqr (fma i 2 alpha))) (/ alpha (sqr (fma i 2 alpha))))) (fma i (+ beta (+ alpha i)) (* beta alpha)))) into (- (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha)) (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) alpha) (sqr (fma i 2 alpha))) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha)))))
* [misc]backup-simplify:  Simplify (/ (- (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha)) (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) alpha) (sqr (fma i 2 alpha))) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha))))) (* 2 (sqrt (/ (* (+ alpha i) (fma i (+ beta (+ alpha i)) (* beta alpha))) (fma i 2 alpha))))) into (* 1/2 (* (sqrt (/ (fma i 2 alpha) (* (+ alpha i) (fma i (+ beta (+ alpha i)) (* beta alpha))))) (- (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha)) (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) alpha) (sqr (fma i 2 alpha))) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha)))))))
* [misc]taylor:  Taking taylor expansion of (sqrt (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta)))) in beta
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ beta alpha) i) in beta
* [misc]taylor:  Taking taylor expansion of (+ beta alpha) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in beta
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ 0 alpha) into alpha
* [misc]backup-simplify:  Simplify (+ alpha i) into (+ alpha i)
* [misc]backup-simplify:  Simplify (+ 0 (fma i 2 alpha)) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (/ (+ alpha i) (fma i 2 alpha)) into (/ (+ alpha i) (fma i 2 alpha))
* [misc]taylor:  Taking taylor expansion of (fma i (+ (+ beta alpha) i) (* alpha beta)) in beta
* [misc]backup-simplify:  Simplify (fma i (+ (+ beta alpha) i) (* alpha beta)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]backup-simplify:  Simplify (* (/ (+ alpha i) (fma i 2 alpha)) (fma i (+ beta (+ alpha i)) (* beta alpha))) into (/ (* (+ alpha i) (fma i (+ beta (+ alpha i)) (* beta alpha))) (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (sqrt (/ (* (+ alpha i) (fma i (+ beta (+ alpha i)) (* beta alpha))) (fma i 2 alpha))) into (sqrt (/ (* (+ alpha i) (fma i (+ beta (+ alpha i)) (* beta alpha))) (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (- (/ 1 (fma i 2 alpha)) (+ (* (/ (+ alpha i) (fma i 2 alpha)) (/ 1 (fma i 2 alpha))))) into (- (/ 1 (fma i 2 alpha)) (+ (/ i (sqr (fma i 2 alpha))) (/ alpha (sqr (fma i 2 alpha)))))
* [misc]backup-simplify:  Simplify (+ (* (/ (+ alpha i) (fma i 2 alpha)) 0) (* (- (/ 1 (fma i 2 alpha)) (+ (/ i (sqr (fma i 2 alpha))) (/ alpha (sqr (fma i 2 alpha))))) (fma i (+ beta (+ alpha i)) (* beta alpha)))) into (- (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha)) (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) alpha) (sqr (fma i 2 alpha))) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha)))))
* [misc]backup-simplify:  Simplify (/ (- (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha)) (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) alpha) (sqr (fma i 2 alpha))) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha))))) (* 2 (sqrt (/ (* (+ alpha i) (fma i (+ beta (+ alpha i)) (* beta alpha))) (fma i 2 alpha))))) into (* 1/2 (* (sqrt (/ (fma i 2 alpha) (* (+ alpha i) (fma i (+ beta (+ alpha i)) (* beta alpha))))) (- (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha)) (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) alpha) (sqr (fma i 2 alpha))) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha)))))))
* [misc]taylor:  Taking taylor expansion of (sqrt (/ (* (+ alpha i) (fma i (+ beta (+ alpha i)) (* beta alpha))) (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (* (+ alpha i) (fma i (+ beta (+ alpha i)) (* beta alpha))) (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (* (+ alpha i) (fma i (+ beta (+ alpha i)) (* beta alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ 0 i) into i
* [misc]backup-simplify:  Simplify (* i (fma i (+ beta (+ alpha i)) (* beta alpha))) into (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)
* [misc]backup-simplify:  Simplify (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (fma i 2 alpha)) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (sqrt (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (fma i 2 alpha))) into (sqrt (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ (* i 0) (* 1 (fma i (+ beta (+ alpha i)) (* beta alpha)))) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]backup-simplify:  Simplify (- (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha)) (+ (* (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (fma i 2 alpha)) (/ 0 (fma i 2 alpha))))) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (/ (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha)) (* 2 (sqrt (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (fma i 2 alpha))))) into (* 1/2 (sqrt (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* i (fma i 2 alpha)))))
* [misc]taylor:  Taking taylor expansion of (sqrt (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (fma i 2 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) in i
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in i
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 1) (* 0 0)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]backup-simplify:  Simplify (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha)) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha)) (* 2 (sqrt 0))) into (* +nan.0 (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of (* 1/2 (* (sqrt (/ (fma i 2 alpha) (* (+ alpha i) (fma i (+ beta (+ alpha i)) (* beta alpha))))) (- (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha)) (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) alpha) (sqr (fma i 2 alpha))) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha))))))) in alpha
* [misc]taylor:  Taking taylor expansion of 1/2 in alpha
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (* (sqrt (/ (fma i 2 alpha) (* (+ alpha i) (fma i (+ beta (+ alpha i)) (* beta alpha))))) (- (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha)) (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) alpha) (sqr (fma i 2 alpha))) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqrt (/ (fma i 2 alpha) (* (+ alpha i) (fma i (+ beta (+ alpha i)) (* beta alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (fma i 2 alpha) (* (+ alpha i) (fma i (+ beta (+ alpha i)) (* beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (* (+ alpha i) (fma i (+ beta (+ alpha i)) (* beta alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]backup-simplify:  Simplify (+ 0 i) into i
* [misc]backup-simplify:  Simplify (* i (fma i (+ beta (+ alpha i)) (* beta alpha))) into (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)
* [misc]backup-simplify:  Simplify (/ (fma i 2 alpha) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) into (/ (fma i 2 alpha) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i))
* [misc]backup-simplify:  Simplify (sqrt (/ (fma i 2 alpha) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i))) into (sqrt (/ (fma i 2 alpha) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ (* i 0) (* 1 (fma i (+ beta (+ alpha i)) (* beta alpha)))) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]backup-simplify:  Simplify (- (/ 0 (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (+ (* (/ (fma i 2 alpha) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i))))) into (- (/ (fma i 2 alpha) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i))))
* [misc]backup-simplify:  Simplify (/ (- (/ (fma i 2 alpha) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)))) (* 2 (sqrt (/ (fma i 2 alpha) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i))))) into (* -1/2 (sqrt (/ (fma i 2 alpha) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (pow i 3)))))
* [misc]taylor:  Taking taylor expansion of (- (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha)) (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) alpha) (sqr (fma i 2 alpha))) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha)) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha))
* [misc]taylor:  Taking taylor expansion of (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) alpha) (sqr (fma i 2 alpha))) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) alpha) (sqr (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) alpha) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 1) (* 0 0)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr (fma i 2 alpha))) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr (fma i 2 alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) into (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha))) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (+ 0 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha)))) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (- (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha)))) into (- (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha))))
* [misc]backup-simplify:  Simplify (+ (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha)) (- (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha))))) into (- (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha)) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha))))
* [misc]backup-simplify:  Simplify (* (sqrt (/ (fma i 2 alpha) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i))) (- (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha)) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha))))) into (* (sqrt (/ (fma i 2 alpha) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i))) (- (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha)) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha)))))
* [misc]backup-simplify:  Simplify (* 1/2 (* (sqrt (/ (fma i 2 alpha) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i))) (- (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha)) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha)))))) into (* 1/2 (* (sqrt (/ (fma i 2 alpha) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i))) (- (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha)) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha))))))
* [misc]taylor:  Taking taylor expansion of (* 1/2 (* (sqrt (/ (fma i 2 alpha) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i))) (- (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha)) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha)))))) in i
* [misc]taylor:  Taking taylor expansion of 1/2 in i
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (* (sqrt (/ (fma i 2 alpha) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i))) (- (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha)) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (sqrt (/ (fma i 2 alpha) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i))) in i
* [misc]taylor:  Taking taylor expansion of (/ (fma i 2 alpha) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) in i
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in i
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 1) (* 0 0)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]backup-simplify:  Simplify (/ (fma i 2 alpha) (fma i (+ beta (+ alpha i)) (* beta alpha))) into (/ (fma i 2 alpha) (fma i (+ beta (+ alpha i)) (* beta alpha)))
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ (/ (fma i 2 alpha) (fma i (+ beta (+ alpha i)) (* beta alpha))) (* 2 (sqrt 0))) into (* +nan.0 (/ (fma i 2 alpha) (fma i (+ beta (+ alpha i)) (* beta alpha))))
* [misc]taylor:  Taking taylor expansion of (- (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha)) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in i
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha)) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha))
* [misc]taylor:  Taking taylor expansion of (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) in i
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in i
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 1) (* 0 0)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr (fma i 2 alpha))) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (- (/ 0 (fma i 2 alpha)) (+ (* (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha)) (/ 0 (fma i 2 alpha))))) into 0
* [misc]backup-simplify:  Simplify (- (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr (fma i 2 alpha)))) into (- (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr (fma i 2 alpha))))
* [misc]backup-simplify:  Simplify (+ 0 (- (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr (fma i 2 alpha))))) into (- (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr (fma i 2 alpha))))
* [misc]backup-simplify:  Simplify (+ (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha)) 0) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (+ (* 0 (- (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr (fma i 2 alpha))))) (* (* +nan.0 (/ (fma i 2 alpha) (fma i (+ beta (+ alpha i)) (* beta alpha)))) (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha)))) into (- +nan.0)
* [misc]backup-simplify:  Simplify (* 0 (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 (- +nan.0)) (* 0 0)) into (- +nan.0)
* [misc]backup-simplify:  Simplify (- +nan.0) into (- +nan.0)
* [misc]taylor:  Taking taylor expansion of (* 1/2 (sqrt (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* i (fma i 2 alpha))))) in i
* [misc]taylor:  Taking taylor expansion of 1/2 in i
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (sqrt (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* i (fma i 2 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* i (fma i 2 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in i
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (* i (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (* 0 (fma i 2 alpha)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 (fma i 2 alpha))) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha)) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha)) (* 2 (sqrt 0))) into (* +nan.0 (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (+ (* 1/2 (* +nan.0 (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha)))) (* 0 0)) into (- (* +nan.0 (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha))))
* [misc]backup-simplify:  Simplify (- (* +nan.0 (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha)))) into (- (* +nan.0 (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha))))
* [misc]backup-simplify:  Simplify (* +nan.0 (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha))) into (* +nan.0 (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (+ (* (* +nan.0 (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha))) (* i (* 1 1))) (+ (* (- (* +nan.0 (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha)))) (* 1 (* alpha 1))) (* (- +nan.0) (* 1 (* 1 beta))))) into (- (+ (* +nan.0 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (fma i 2 alpha))) (- (+ (* +nan.0 beta) (- (* +nan.0 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) alpha) (fma i 2 alpha))))))))
* [misc]approximate:  Taking taylor expansion of (sqrt (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))))) in (beta alpha i) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))))) in i
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) in i
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) in i
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (/ 1 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) into (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) into (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (* (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (* 2 (sqrt 0))) into (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))
* [misc]taylor:  Taking taylor expansion of (sqrt (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (/ 1 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) into (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) into (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (* (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (* 2 (sqrt 0))) into (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))
* [misc]taylor:  Taking taylor expansion of (sqrt (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))))) in beta
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (/ 1 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (* 1 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) into (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 alpha)) into (/ 1 alpha)
* [misc]backup-simplify:  Simplify (+ (/ 1 alpha) (/ 1 i)) into (+ (/ 1 i) (/ 1 alpha))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (fma (/ 1 i) 2 (/ 1 alpha))) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (- (/ (+ (/ 1 i) (/ 1 alpha)) 1) (+ (* 1 (/ (fma (/ 1 i) 2 (/ 1 alpha)) 1)))) into (- (+ (/ 1 i) (/ 1 alpha)) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* (- (+ (/ 1 i) (/ 1 alpha)) (fma (/ 1 i) 2 (/ 1 alpha))) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))) into (- (+ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) alpha)) (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (/ (- (+ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) alpha)) (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))) (* 2 (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))))) into (* 1/2 (* (- (+ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) alpha)) (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))) (sqrt (/ 1 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))))))
* [misc]taylor:  Taking taylor expansion of (sqrt (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))))) in beta
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (/ 1 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (* 1 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) into (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 alpha)) into (/ 1 alpha)
* [misc]backup-simplify:  Simplify (+ (/ 1 alpha) (/ 1 i)) into (+ (/ 1 i) (/ 1 alpha))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (fma (/ 1 i) 2 (/ 1 alpha))) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (- (/ (+ (/ 1 i) (/ 1 alpha)) 1) (+ (* 1 (/ (fma (/ 1 i) 2 (/ 1 alpha)) 1)))) into (- (+ (/ 1 i) (/ 1 alpha)) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* (- (+ (/ 1 i) (/ 1 alpha)) (fma (/ 1 i) 2 (/ 1 alpha))) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))) into (- (+ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) alpha)) (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (/ (- (+ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) alpha)) (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))) (* 2 (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))))) into (* 1/2 (* (- (+ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) alpha)) (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))) (sqrt (/ 1 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))))))
* [misc]taylor:  Taking taylor expansion of (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) into (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))))) into 0
* [misc]taylor:  Taking taylor expansion of (* 1/2 (* (- (+ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) alpha)) (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))) (sqrt (/ 1 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))))) in alpha
* [misc]taylor:  Taking taylor expansion of 1/2 in alpha
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (* (- (+ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) alpha)) (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))) (sqrt (/ 1 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (- (+ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) alpha)) (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) alpha) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 1) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (/ 1 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) into (/ 1 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (sqrt (/ 1 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))) into (sqrt (/ 1 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (/ 0 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (/ 1 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (+ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 0) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqrt (/ 1 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))))) into (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (* 1/2 (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))) into (* 1/2 (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))))
* [misc]taylor:  Taking taylor expansion of (* 1/2 (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))) in i
* [misc]taylor:  Taking taylor expansion of 1/2 in i
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) into (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) into (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (- (+ (/ 1 i) (/ 1 alpha)) (fma (/ 1 i) 2 (/ 1 alpha))) (/ (fma (/ 1 i) 2 (/ 1 alpha)) 1)))) into (- (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (+ (/ (fma (/ 1 i) 2 (/ 1 alpha)) i) (/ (fma (/ 1 i) 2 (/ 1 alpha)) alpha)))
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* (- (+ (/ 1 i) (/ 1 alpha)) (fma (/ 1 i) 2 (/ 1 alpha))) 0) (* (- (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (+ (/ (fma (/ 1 i) 2 (/ 1 alpha)) i) (/ (fma (/ 1 i) 2 (/ 1 alpha)) alpha))) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))))) into (- (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (+ (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) alpha) (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))
* [misc]backup-simplify:  Simplify (/ (- (- (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (+ (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) alpha) (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i))) (sqr (* 1/2 (* (- (+ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) alpha)) (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))) (sqrt (/ 1 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))))))) (+)) (* 2 (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))))) into (* 1/2 (* (sqrt (/ 1 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))) (- (* 3/4 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))) (+ (* 1/4 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i))) (+ (* 1/2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) alpha)) (+ (* 1/4 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr alpha))) (+ (* 1/2 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i))) (* 1/2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))))))))
* [misc]taylor:  Taking taylor expansion of (* 1/2 (* (sqrt (/ 1 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))) (- (* 3/4 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))) (+ (* 1/4 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i))) (+ (* 1/2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) alpha)) (+ (* 1/4 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr alpha))) (+ (* 1/2 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i))) (* 1/2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of 1/2 in alpha
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (* (sqrt (/ 1 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))) (- (* 3/4 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))) (+ (* 1/4 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i))) (+ (* 1/2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) alpha)) (+ (* 1/4 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr alpha))) (+ (* 1/2 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i))) (* 1/2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (/ 1 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) into (/ 1 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (sqrt (/ 1 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))) into (sqrt (/ 1 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (/ 0 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (/ 1 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))))) into 0
* [misc]taylor:  Taking taylor expansion of (- (* 3/4 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))) (+ (* 1/4 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i))) (+ (* 1/2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) alpha)) (+ (* 1/4 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr alpha))) (+ (* 1/2 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i))) (* 1/2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 3/4 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of 3/4 in alpha
* [misc]backup-simplify:  Simplify 3/4 into 3/4
* [misc]taylor:  Taking taylor expansion of (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ 1 i) 2 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (+ (* 1/4 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i))) (+ (* 1/2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) alpha)) (+ (* 1/4 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr alpha))) (+ (* 1/2 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i))) (* 1/2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 1/4 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i))) in alpha
* [misc]taylor:  Taking taylor expansion of 1/4 in alpha
* [misc]backup-simplify:  Simplify 1/4 into 1/4
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (sqr i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i))
* [misc]taylor:  Taking taylor expansion of (+ (* 1/2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) alpha)) (+ (* 1/4 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr alpha))) (+ (* 1/2 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i))) (* 1/2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 1/2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of 1/2 in alpha
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) alpha) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) into (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) 1) into (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]taylor:  Taking taylor expansion of (+ (* 1/4 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr alpha))) (+ (* 1/2 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i))) (* 1/2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 1/4 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of 1/4 in alpha
* [misc]backup-simplify:  Simplify 1/4 into 1/4
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (sqr alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 1) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (+ (* 1/2 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i))) (* 1/2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 1/2 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i))) in alpha
* [misc]taylor:  Taking taylor expansion of 1/2 in alpha
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (* alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* 0 i) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 i)) into i
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)
* [misc]taylor:  Taking taylor expansion of (* 1/2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)) in alpha
* [misc]taylor:  Taking taylor expansion of 1/2 in alpha
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) into (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i) into (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)
* [misc]backup-simplify:  Simplify (* 1/2 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))) into (* 1/2 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/4 0) (* 0 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))) into 0
* [misc]backup-simplify:  Simplify (* 1/2 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) into (* 1/2 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i))
* [misc]backup-simplify:  Simplify (+ (* 1/2 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) 0) into (* 1/2 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i))
* [misc]backup-simplify:  Simplify (+ 0 (* 1/2 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i))) into (* 1/2 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i))
* [misc]backup-simplify:  Simplify (+ (* 1/2 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))) (* 1/2 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i))) into (+ (* 1/2 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (* 1/2 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (+ 0 (+ (* 1/2 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (* 1/2 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))))) into (+ (* 1/2 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (* 1/2 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (- (+ (* 1/2 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (* 1/2 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))))) into (- (+ (* 1/2 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (* 1/2 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))))))
* [misc]backup-simplify:  Simplify (+ 0 (- (+ (* 1/2 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (* 1/2 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))))))) into (- (+ (* 1/2 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (* 1/2 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))))))
* [misc]backup-simplify:  Simplify (* 1/4 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) into (* 1/4 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (+ (* 1/4 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) 0) into (* 1/4 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (+ 0 (* 1/4 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))) into (* 1/4 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (+ 0 (* 1/4 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))) into (* 1/4 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (- (* 1/4 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))) into (- (* 1/4 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))))
* [misc]backup-simplify:  Simplify (+ 0 (- (* 1/4 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))))) into (- (* 1/4 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))))
* [misc]backup-simplify:  Simplify (+ (* (sqrt (/ 1 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))) (- (+ (* 1/2 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (* 1/2 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))))))) (* 0 (- (* 1/4 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))))) into (- (+ (* 1/2 (* (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (/ 1 i))) (* 1/2 (* (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (fma (/ 1 i) 2 (/ 1 alpha))))))
* [misc]backup-simplify:  Simplify (* (sqrt (/ 1 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))) (- (* 1/4 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))))) into (* -1/4 (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))))
* [misc]backup-simplify:  Simplify (+ (* 1/2 (- (+ (* 1/2 (* (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (/ 1 i))) (* 1/2 (* (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (fma (/ 1 i) 2 (/ 1 alpha))))))) (* 0 (* -1/4 (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))))) into (- (+ (* 1/4 (* (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (/ 1 i))) (* 1/4 (* (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (fma (/ 1 i) 2 (/ 1 alpha))))))
* [misc]taylor:  Taking taylor expansion of (- (+ (* 1/4 (* (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (/ 1 i))) (* 1/4 (* (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (fma (/ 1 i) 2 (/ 1 alpha)))))) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 1/4 (* (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (/ 1 i))) (* 1/4 (* (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (fma (/ 1 i) 2 (/ 1 alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (* 1/4 (* (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (/ 1 i))) in i
* [misc]taylor:  Taking taylor expansion of 1/4 in i
* [misc]backup-simplify:  Simplify 1/4 into 1/4
* [misc]taylor:  Taking taylor expansion of (* (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (/ 1 i)) in i
* [misc]taylor:  Taking taylor expansion of (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) into (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))))) into 0
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (* 1/4 (* (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (fma (/ 1 i) 2 (/ 1 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of 1/4 in i
* [misc]backup-simplify:  Simplify 1/4 into 1/4
* [misc]taylor:  Taking taylor expansion of (* (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (fma (/ 1 i) 2 (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) into (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))))) into 0
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (* (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) 1) into (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (* 1/4 (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))) into (* 1/4 (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))))
* [misc]backup-simplify:  Simplify (+ (* 1/4 (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))) 0) into (* 1/4 (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))))
* [misc]backup-simplify:  Simplify (- (* 1/4 (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))))) into (- (* 1/4 (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))))
* [misc]backup-simplify:  Simplify (- (* 1/4 (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))))) into (- (* 1/4 (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))))
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) 0) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) into (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (- (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))) into (- (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (+ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) (- (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))))) into (- (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (+ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 0) (* (- (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))) (sqrt (/ 1 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))))) into (- (* (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (/ 1 i)) (* (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (+ (* 1/2 (- (* (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (/ 1 i)) (* (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (fma (/ 1 i) 2 (/ 1 alpha))))) (* 0 (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))))) into (- (* 1/2 (* (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (/ 1 i))) (* 1/2 (* (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (fma (/ 1 i) 2 (/ 1 alpha)))))
* [misc]taylor:  Taking taylor expansion of (- (* 1/2 (* (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (/ 1 i))) (* 1/2 (* (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (fma (/ 1 i) 2 (/ 1 alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (* 1/2 (* (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (/ 1 i))) in i
* [misc]taylor:  Taking taylor expansion of 1/2 in i
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (* (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (/ 1 i)) in i
* [misc]taylor:  Taking taylor expansion of (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) into (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))))) into 0
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (* 1/2 (* (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (fma (/ 1 i) 2 (/ 1 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of 1/2 in i
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (* (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (fma (/ 1 i) 2 (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) into (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))))) into 0
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (* (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) 1) into (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (* 1/2 (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))) into (* 1/2 (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))))
* [misc]backup-simplify:  Simplify (+ (* 1/2 (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))) 0) into (* 1/2 (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))))
* [misc]backup-simplify:  Simplify (* 1/2 (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))) into (* 1/2 (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))))
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* 1/2 (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))) into (* 1/2 (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))))
* [misc]backup-simplify:  Simplify (* 1/2 (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))) into (* 1/2 (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))))
* [misc]backup-simplify:  Simplify (+ (* (* 1/2 (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))) (* 1 (* (/ 1 (/ 1 alpha)) (/ 1 beta)))) (+ (* (* 1/2 (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))) (* (/ 1 (/ 1 i)) (* 1 (/ 1 beta)))) (* (- (* 1/4 (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))))) (* (/ 1 (/ 1 i)) (* (/ 1 (/ 1 alpha)) (sqr (/ 1 beta))))))) into (- (+ (* 1/2 (* (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (/ i beta))) (* 1/2 (* (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (/ alpha beta)))) (* 1/4 (* (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (/ (* alpha i) (sqr beta)))))
* [misc]approximate:  Taking taylor expansion of (sqrt (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))))) in (beta alpha i) around 0
* [misc]taylor:  Taking taylor expansion of (sqrt (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))))) in i
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) in i
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) in i
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (/ 1 (- alpha))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in i
* [misc]taylor:  Taking taylor expansion of (- beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in i
* [misc]taylor:  Taking taylor expansion of (- alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in i
* [misc]taylor:  Taking taylor expansion of (- i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in i
* [misc]taylor:  Taking taylor expansion of (- beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (+ (/ -1 beta) (fma (/ -1 i) 2 (/ -1 alpha))) into (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))
* [misc]backup-simplify:  Simplify (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) into (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (* (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) into (* -1 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ (* -1 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))) (* 2 (sqrt 0))) into (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))
* [misc]taylor:  Taking taylor expansion of (sqrt (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (/ 1 (- alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (- alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in alpha
* [misc]taylor:  Taking taylor expansion of (- i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (+ (/ -1 beta) (fma (/ -1 i) 2 (/ -1 alpha))) into (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))
* [misc]backup-simplify:  Simplify (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) into (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (* (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) into (* -1 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ (* -1 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))) (* 2 (sqrt 0))) into (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))
* [misc]taylor:  Taking taylor expansion of (sqrt (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))))) in beta
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (/ 1 (- alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in beta
* [misc]taylor:  Taking taylor expansion of (- i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (/ -1 -1) into 1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (* 1 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) into (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (/ -1 alpha)) into (- (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (- (/ 1 alpha)) (/ -1 i)) into (- (+ (/ 1 i) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (fma (/ -1 i) 2 (/ -1 alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (- (/ (- (+ (/ 1 i) (/ 1 alpha))) -1) (+ (* 1 (/ (fma (/ -1 i) 2 (/ -1 alpha)) -1)))) into (+ (fma (/ -1 i) 2 (/ -1 alpha)) (+ (/ 1 alpha) (/ 1 i)))
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* (+ (fma (/ -1 i) 2 (/ -1 alpha)) (+ (/ 1 alpha) (/ 1 i))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) into (+ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (+ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) alpha)))
* [misc]backup-simplify:  Simplify (/ (+ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (+ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) alpha))) (* 2 (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))) into (* 1/2 (* (+ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i) (+ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) alpha))) (sqrt (/ 1 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))))
* [misc]taylor:  Taking taylor expansion of (sqrt (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))))) in beta
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (/ 1 (- alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in beta
* [misc]taylor:  Taking taylor expansion of (- i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (/ -1 -1) into 1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (* 1 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) into (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (/ -1 alpha)) into (- (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (- (/ 1 alpha)) (/ -1 i)) into (- (+ (/ 1 i) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (fma (/ -1 i) 2 (/ -1 alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (- (/ (- (+ (/ 1 i) (/ 1 alpha))) -1) (+ (* 1 (/ (fma (/ -1 i) 2 (/ -1 alpha)) -1)))) into (+ (fma (/ -1 i) 2 (/ -1 alpha)) (+ (/ 1 alpha) (/ 1 i)))
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* (+ (fma (/ -1 i) 2 (/ -1 alpha)) (+ (/ 1 alpha) (/ 1 i))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) into (+ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (+ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) alpha)))
* [misc]backup-simplify:  Simplify (/ (+ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (+ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) alpha))) (* 2 (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))) into (* 1/2 (* (+ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i) (+ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) alpha))) (sqrt (/ 1 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))))
* [misc]taylor:  Taking taylor expansion of (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) into (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))) into 0
* [misc]taylor:  Taking taylor expansion of (* 1/2 (* (+ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i) (+ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) alpha))) (sqrt (/ 1 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))) in alpha
* [misc]taylor:  Taking taylor expansion of 1/2 in alpha
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (* (+ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i) (+ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) alpha))) (sqrt (/ 1 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i) (+ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)
* [misc]taylor:  Taking taylor expansion of (+ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) alpha) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 1) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (/ 1 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) into (/ 1 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (sqrt (/ 1 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) into (sqrt (/ 1 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (/ 0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (/ 1 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (+ 0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqrt (/ 1 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))) into (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqrt (/ 1 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))
* [misc]backup-simplify:  Simplify (* 1/2 (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqrt (/ 1 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))) into (* 1/2 (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqrt (/ 1 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))))
* [misc]taylor:  Taking taylor expansion of (* 1/2 (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqrt (/ 1 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))))) in i
* [misc]taylor:  Taking taylor expansion of 1/2 in i
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqrt (/ 1 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (/ 1 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) into (/ 1 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (sqrt (/ 1 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) into (sqrt (/ 1 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (/ 0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (/ 1 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) into (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 alpha) (/ 0 (- alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 i) (/ 0 (- i))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 -1) (+ (* 1 (/ 0 -1)) (* (+ (fma (/ -1 i) 2 (/ -1 alpha)) (+ (/ 1 alpha) (/ 1 i))) (/ (fma (/ -1 i) 2 (/ -1 alpha)) -1)))) into (+ (/ (fma (/ -1 i) 2 (/ -1 alpha)) i) (+ (/ (fma (/ -1 i) 2 (/ -1 alpha)) alpha) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))))
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* (+ (fma (/ -1 i) 2 (/ -1 alpha)) (+ (/ 1 alpha) (/ 1 i))) 0) (* (+ (/ (fma (/ -1 i) 2 (/ -1 alpha)) i) (+ (/ (fma (/ -1 i) 2 (/ -1 alpha)) alpha) (sqr (fma (/ -1 i) 2 (/ -1 alpha))))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) into (+ (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i) (+ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) alpha)))
* [misc]backup-simplify:  Simplify (/ (- (+ (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i) (+ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) alpha))) (sqr (* 1/2 (* (+ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i) (+ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) alpha))) (sqrt (/ 1 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))))) (+)) (* 2 (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) into (* 1/2 (* (- (+ (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i) (+ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) alpha))) (+ (* 1/2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (+ (* 1/4 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i))) (+ (* 1/2 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* alpha i))) (+ (* 1/4 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr alpha))) (+ (* 1/4 (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (* 1/2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) alpha)))))))) (sqrt (/ 1 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))))
* [misc]taylor:  Taking taylor expansion of (* 1/2 (* (- (+ (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i) (+ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) alpha))) (+ (* 1/2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (+ (* 1/4 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i))) (+ (* 1/2 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* alpha i))) (+ (* 1/4 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr alpha))) (+ (* 1/4 (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (* 1/2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) alpha)))))))) (sqrt (/ 1 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))))) in alpha
* [misc]taylor:  Taking taylor expansion of 1/2 in alpha
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (* (- (+ (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i) (+ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) alpha))) (+ (* 1/2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (+ (* 1/4 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i))) (+ (* 1/2 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* alpha i))) (+ (* 1/4 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr alpha))) (+ (* 1/4 (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (* 1/2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) alpha)))))))) (sqrt (/ 1 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (- (+ (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i) (+ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) alpha))) (+ (* 1/2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (+ (* 1/4 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i))) (+ (* 1/2 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* alpha i))) (+ (* 1/4 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr alpha))) (+ (* 1/4 (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (* 1/2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) alpha)))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i) (+ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i) into (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)
* [misc]taylor:  Taking taylor expansion of (+ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ -1 i) 2 (/ -1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) alpha) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) 1) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1/2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (+ (* 1/4 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i))) (+ (* 1/2 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* alpha i))) (+ (* 1/4 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr alpha))) (+ (* 1/4 (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (* 1/2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) alpha))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 1/2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) in alpha
* [misc]taylor:  Taking taylor expansion of 1/2 in alpha
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i) into (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)
* [misc]taylor:  Taking taylor expansion of (+ (* 1/4 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i))) (+ (* 1/2 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* alpha i))) (+ (* 1/4 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr alpha))) (+ (* 1/4 (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (* 1/2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) alpha)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 1/4 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i))) in alpha
* [misc]taylor:  Taking taylor expansion of 1/4 in alpha
* [misc]backup-simplify:  Simplify 1/4 into 1/4
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (sqr i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr i)) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i))
* [misc]taylor:  Taking taylor expansion of (+ (* 1/2 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* alpha i))) (+ (* 1/4 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr alpha))) (+ (* 1/4 (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (* 1/2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 1/2 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* alpha i))) in alpha
* [misc]taylor:  Taking taylor expansion of 1/2 in alpha
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* alpha i)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (* alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* 0 i) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 i)) into i
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)
* [misc]taylor:  Taking taylor expansion of (+ (* 1/4 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr alpha))) (+ (* 1/4 (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (* 1/2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 1/4 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of 1/4 in alpha
* [misc]backup-simplify:  Simplify 1/4 into 1/4
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (sqr alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 1) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (+ (* 1/4 (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (* 1/2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 1/4 (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of 1/4 in alpha
* [misc]backup-simplify:  Simplify 1/4 into 1/4
* [misc]taylor:  Taking taylor expansion of (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ -1 i) 2 (/ -1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (* 1/2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of 1/2 in alpha
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) alpha) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) 1) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (/ 1 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) into (/ 1 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (sqrt (/ 1 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) into (sqrt (/ 1 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (/ 0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (/ 1 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))))) into 0
* [misc]backup-simplify:  Simplify (* 1/4 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) into (* 1/4 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (+ (* 1/4 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) 0) into (* 1/4 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (+ 0 (* 1/4 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) into (* 1/4 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (+ 0 (* 1/4 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) into (* 1/4 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (+ 0 (* 1/4 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) into (* 1/4 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (- (* 1/4 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) into (- (* 1/4 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))
* [misc]backup-simplify:  Simplify (+ 0 (- (* 1/4 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))) into (- (* 1/4 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))
* [misc]backup-simplify:  Simplify (+ 0 (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (+ 0 (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (* 1/2 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)) into (* 1/2 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i))
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/4 0) (* 0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) into 0
* [misc]backup-simplify:  Simplify (* 1/2 (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) into (* 1/2 (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))
* [misc]backup-simplify:  Simplify (+ 0 (* 1/2 (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))) into (* 1/2 (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))
* [misc]backup-simplify:  Simplify (+ 0 (* 1/2 (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) into (* 1/2 (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))
* [misc]backup-simplify:  Simplify (+ (* 1/2 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) (* 1/2 (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))) into (+ (* 1/2 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)) (* 1/2 (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))
* [misc]backup-simplify:  Simplify (+ 0 (+ (* 1/2 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)) (* 1/2 (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))) into (+ (* 1/2 (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (* 1/2 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)))
* [misc]backup-simplify:  Simplify (+ 0 (+ (* 1/2 (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (* 1/2 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)))) into (+ (* 1/2 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)) (* 1/2 (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))
* [misc]backup-simplify:  Simplify (- (+ (* 1/2 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)) (* 1/2 (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))) into (- (+ (* 1/2 (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (* 1/2 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i))))
* [misc]backup-simplify:  Simplify (+ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (- (+ (* 1/2 (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (* 1/2 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i))))) into (- (* 1/2 (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (* 1/2 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)))
* [misc]backup-simplify:  Simplify (+ (* (- (* 1/4 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) 0) (* (- (* 1/2 (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (* 1/2 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i))) (sqrt (/ 1 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))) into (- (* 1/2 (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))) (* 1/2 (* (sqrt (/ 1 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i))))
* [misc]backup-simplify:  Simplify (* (- (* 1/4 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (sqrt (/ 1 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) into (* -1/4 (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))
* [misc]backup-simplify:  Simplify (+ (* 1/2 (- (* 1/2 (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))) (* 1/2 (* (sqrt (/ 1 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i))))) (* 0 (* -1/4 (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))))) into (- (* 1/4 (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) (* 1/4 (* (sqrt (/ 1 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i))))
* [misc]taylor:  Taking taylor expansion of (- (* 1/4 (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) (* 1/4 (* (sqrt (/ 1 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)))) in i
* [misc]taylor:  Taking taylor expansion of (* 1/4 (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) in i
* [misc]taylor:  Taking taylor expansion of 1/4 in i
* [misc]backup-simplify:  Simplify 1/4 into 1/4
* [misc]taylor:  Taking taylor expansion of (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) into (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))) into 0
* [misc]taylor:  Taking taylor expansion of (* 1/4 (* (sqrt (/ 1 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i))) in i
* [misc]taylor:  Taking taylor expansion of 1/4 in i
* [misc]backup-simplify:  Simplify 1/4 into 1/4
* [misc]taylor:  Taking taylor expansion of (* (sqrt (/ 1 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)) in i
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (/ 1 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) into (/ 1 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (sqrt (/ 1 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) into (sqrt (/ 1 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (/ 0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (/ 1 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))) into 0
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 1) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (* (sqrt (/ 1 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) into (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (* 1/4 (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) into (* 1/4 (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))
* [misc]backup-simplify:  Simplify (- (* 1/4 (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))) into (- (* 1/4 (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))
* [misc]backup-simplify:  Simplify (+ 0 (- (* 1/4 (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))) into (- (* 1/4 (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))))
* [misc]backup-simplify:  Simplify (- (* 1/4 (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))) into (- (* 1/4 (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) 0) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (+ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i) (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) into (+ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i) (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))
* [misc]backup-simplify:  Simplify (+ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 0) (* (+ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i) (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (sqrt (/ 1 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))))) into (+ (* (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (/ 1 i)) (* (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqrt (/ 1 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))))
* [misc]backup-simplify:  Simplify (+ (* 1/2 (+ (* (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (/ 1 i)) (* (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqrt (/ 1 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))))) (* 0 (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqrt (/ 1 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))))) into (+ (* 1/2 (* (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (/ 1 i))) (* 1/2 (* (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqrt (/ 1 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1/2 (* (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (/ 1 i))) (* 1/2 (* (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqrt (/ 1 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 1/2 (* (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (/ 1 i))) in i
* [misc]taylor:  Taking taylor expansion of 1/2 in i
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (* (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (/ 1 i)) in i
* [misc]taylor:  Taking taylor expansion of (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) into (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) into 0
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (* 1/2 (* (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqrt (/ 1 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))))) in i
* [misc]taylor:  Taking taylor expansion of 1/2 in i
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (* (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqrt (/ 1 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))) in i
* [misc]taylor:  Taking taylor expansion of (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (/ 1 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) into (/ 1 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (sqrt (/ 1 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) into (sqrt (/ 1 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (/ 0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (/ 1 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))))) into 0
* [misc]backup-simplify:  Simplify (* (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) 1) into (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (* 1/2 (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) into (* 1/2 (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))
* [misc]backup-simplify:  Simplify (+ (* 1/2 (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) 0) into (* 1/2 (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))
* [misc]backup-simplify:  Simplify (* 1/2 (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) into (* 1/2 (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqrt (/ 1 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) into (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqrt (/ 1 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))))
* [misc]backup-simplify:  Simplify (* 1/2 (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqrt (/ 1 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))))) into (* 1/2 (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqrt (/ 1 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))))
* [misc]backup-simplify:  Simplify (* 1/2 (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqrt (/ 1 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))) into (* 1/2 (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqrt (/ 1 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))))
* [misc]backup-simplify:  Simplify (+ (* (* 1/2 (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqrt (/ 1 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))))) (* 1 (* (/ 1 (/ 1 (- alpha))) (/ 1 (- beta))))) (+ (* (* 1/2 (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (* (/ 1 (/ 1 (- i))) (* 1 (/ 1 (- beta))))) (* (- (* 1/4 (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) (* (/ 1 (/ 1 (- i))) (* (/ 1 (/ 1 (- alpha))) (sqr (/ 1 (- beta)))))))) into (- (+ (* 1/2 (* (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (/ i beta))) (* 1/2 (* (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) alpha) beta) (sqrt (/ 1 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))))) (* 1/4 (* (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (/ (* alpha i) (sqr beta)))))
* [misc]approximate:  Taking taylor expansion of (* (sqrt (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta)))) (sqrt (/ i (+ beta (fma i 2 alpha))))) in (beta alpha i) around 0
* [misc]taylor:  Taking taylor expansion of (* (sqrt (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta)))) (sqrt (/ i (+ beta (fma i 2 alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (sqrt (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta)))) in i
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) in i
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (+ (+ beta alpha) i) in i
* [misc]taylor:  Taking taylor expansion of (+ beta alpha) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ beta alpha) into (+ beta alpha)
* [misc]backup-simplify:  Simplify (+ (+ beta alpha) 0) into (+ beta alpha)
* [misc]backup-simplify:  Simplify (+ beta (fma i 2 alpha)) into (+ beta (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (/ (+ beta alpha) (+ beta (fma i 2 alpha))) into (/ (+ beta alpha) (+ beta (fma i 2 alpha)))
* [misc]taylor:  Taking taylor expansion of (fma i (+ (+ beta alpha) i) (* alpha beta)) in i
* [misc]backup-simplify:  Simplify (fma i (+ (+ beta alpha) i) (* alpha beta)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]backup-simplify:  Simplify (* (/ (+ beta alpha) (+ beta (fma i 2 alpha))) (fma i (+ beta (+ alpha i)) (* beta alpha))) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (+ beta alpha)) (+ beta (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (sqrt (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (+ beta alpha)) (+ beta (fma i 2 alpha)))) into (sqrt (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (+ beta alpha)) (+ beta (fma i 2 alpha))))
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 1 (+ beta (fma i 2 alpha))) (+ (* (/ (+ beta alpha) (+ beta (fma i 2 alpha))) (/ 0 (+ beta (fma i 2 alpha)))))) into (/ 1 (+ beta (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (+ (* (/ (+ beta alpha) (+ beta (fma i 2 alpha))) 0) (* (/ 1 (+ beta (fma i 2 alpha))) (fma i (+ beta (+ alpha i)) (* beta alpha)))) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (+ beta (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (/ (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (+ beta (fma i 2 alpha))) (* 2 (sqrt (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (+ beta alpha)) (+ beta (fma i 2 alpha)))))) into (* 1/2 (sqrt (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (+ beta (fma i 2 alpha)) (+ beta alpha)))))
* [misc]taylor:  Taking taylor expansion of (sqrt (/ i (+ beta (fma i 2 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (/ i (+ beta (fma i 2 alpha))) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ beta (fma i 2 alpha)) into (+ beta (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (/ 1 (+ beta (fma i 2 alpha))) into (/ 1 (+ beta (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ (/ 1 (+ beta (fma i 2 alpha))) (* 2 (sqrt 0))) into (/ +nan.0 (+ beta (fma i 2 alpha)))
* [misc]taylor:  Taking taylor expansion of (* (sqrt (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta)))) (sqrt (/ i (+ beta (fma i 2 alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqrt (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ beta alpha) i) in alpha
* [misc]taylor:  Taking taylor expansion of (+ beta alpha) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (+ beta i) into (+ beta i)
* [misc]backup-simplify:  Simplify (+ beta (fma i 2 alpha)) into (+ beta (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (/ (+ beta i) (+ beta (fma i 2 alpha))) into (/ (+ beta i) (+ beta (fma i 2 alpha)))
* [misc]taylor:  Taking taylor expansion of (fma i (+ (+ beta alpha) i) (* alpha beta)) in alpha
* [misc]backup-simplify:  Simplify (fma i (+ (+ beta alpha) i) (* alpha beta)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]backup-simplify:  Simplify (* (/ (+ beta i) (+ beta (fma i 2 alpha))) (fma i (+ beta (+ alpha i)) (* beta alpha))) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (+ beta i)) (+ beta (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (sqrt (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (+ beta i)) (+ beta (fma i 2 alpha)))) into (sqrt (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (+ beta i)) (+ beta (fma i 2 alpha))))
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 1 (+ beta (fma i 2 alpha))) (+ (* (/ (+ beta i) (+ beta (fma i 2 alpha))) (/ 0 (+ beta (fma i 2 alpha)))))) into (/ 1 (+ beta (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (+ (* (/ (+ beta i) (+ beta (fma i 2 alpha))) 0) (* (/ 1 (+ beta (fma i 2 alpha))) (fma i (+ beta (+ alpha i)) (* beta alpha)))) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (+ beta (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (/ (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (+ beta (fma i 2 alpha))) (* 2 (sqrt (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (+ beta i)) (+ beta (fma i 2 alpha)))))) into (* 1/2 (sqrt (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (+ beta (fma i 2 alpha)) (+ beta i)))))
* [misc]taylor:  Taking taylor expansion of (sqrt (/ i (+ beta (fma i 2 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ i (+ beta (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ beta (fma i 2 alpha)) into (+ beta (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (/ i (+ beta (fma i 2 alpha))) into (/ i (+ beta (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (sqrt (/ i (+ beta (fma i 2 alpha)))) into (sqrt (/ i (+ beta (fma i 2 alpha))))
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ beta (fma i 2 alpha))) (+ (* (/ i (+ beta (fma i 2 alpha))) (/ 0 (+ beta (fma i 2 alpha)))))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (/ i (+ beta (fma i 2 alpha)))))) into 0
* [misc]taylor:  Taking taylor expansion of (* (sqrt (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta)))) (sqrt (/ i (+ beta (fma i 2 alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (sqrt (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta)))) in beta
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ beta alpha) i) in beta
* [misc]taylor:  Taking taylor expansion of (+ beta alpha) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in beta
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ 0 alpha) into alpha
* [misc]backup-simplify:  Simplify (+ alpha i) into (+ alpha i)
* [misc]backup-simplify:  Simplify (+ 0 (fma i 2 alpha)) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (/ (+ alpha i) (fma i 2 alpha)) into (/ (+ alpha i) (fma i 2 alpha))
* [misc]taylor:  Taking taylor expansion of (fma i (+ (+ beta alpha) i) (* alpha beta)) in beta
* [misc]backup-simplify:  Simplify (fma i (+ (+ beta alpha) i) (* alpha beta)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]backup-simplify:  Simplify (* (/ (+ alpha i) (fma i 2 alpha)) (fma i (+ beta (+ alpha i)) (* beta alpha))) into (/ (* (+ alpha i) (fma i (+ beta (+ alpha i)) (* beta alpha))) (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (sqrt (/ (* (+ alpha i) (fma i (+ beta (+ alpha i)) (* beta alpha))) (fma i 2 alpha))) into (sqrt (/ (* (+ alpha i) (fma i (+ beta (+ alpha i)) (* beta alpha))) (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (- (/ 1 (fma i 2 alpha)) (+ (* (/ (+ alpha i) (fma i 2 alpha)) (/ 1 (fma i 2 alpha))))) into (- (/ 1 (fma i 2 alpha)) (+ (/ i (sqr (fma i 2 alpha))) (/ alpha (sqr (fma i 2 alpha)))))
* [misc]backup-simplify:  Simplify (+ (* (/ (+ alpha i) (fma i 2 alpha)) 0) (* (- (/ 1 (fma i 2 alpha)) (+ (/ i (sqr (fma i 2 alpha))) (/ alpha (sqr (fma i 2 alpha))))) (fma i (+ beta (+ alpha i)) (* beta alpha)))) into (- (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha)) (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) alpha) (sqr (fma i 2 alpha))) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha)))))
* [misc]backup-simplify:  Simplify (/ (- (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha)) (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) alpha) (sqr (fma i 2 alpha))) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha))))) (* 2 (sqrt (/ (* (+ alpha i) (fma i (+ beta (+ alpha i)) (* beta alpha))) (fma i 2 alpha))))) into (* 1/2 (* (sqrt (/ (fma i 2 alpha) (* (+ alpha i) (fma i (+ beta (+ alpha i)) (* beta alpha))))) (- (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha)) (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) alpha) (sqr (fma i 2 alpha))) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha)))))))
* [misc]taylor:  Taking taylor expansion of (sqrt (/ i (+ beta (fma i 2 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ i (+ beta (fma i 2 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in beta
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ 0 (fma i 2 alpha)) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (/ i (fma i 2 alpha)) into (/ i (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (sqrt (/ i (fma i 2 alpha))) into (sqrt (/ i (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (- (/ 0 (fma i 2 alpha)) (+ (* (/ i (fma i 2 alpha)) (/ 1 (fma i 2 alpha))))) into (- (/ i (sqr (fma i 2 alpha))))
* [misc]backup-simplify:  Simplify (/ (- (/ i (sqr (fma i 2 alpha)))) (* 2 (sqrt (/ i (fma i 2 alpha))))) into (* -1/2 (sqrt (/ i (pow (fma i 2 alpha) 3))))
* [misc]taylor:  Taking taylor expansion of (* (sqrt (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta)))) (sqrt (/ i (+ beta (fma i 2 alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (sqrt (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta)))) in beta
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ beta alpha) i) in beta
* [misc]taylor:  Taking taylor expansion of (+ beta alpha) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in beta
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ 0 alpha) into alpha
* [misc]backup-simplify:  Simplify (+ alpha i) into (+ alpha i)
* [misc]backup-simplify:  Simplify (+ 0 (fma i 2 alpha)) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (/ (+ alpha i) (fma i 2 alpha)) into (/ (+ alpha i) (fma i 2 alpha))
* [misc]taylor:  Taking taylor expansion of (fma i (+ (+ beta alpha) i) (* alpha beta)) in beta
* [misc]backup-simplify:  Simplify (fma i (+ (+ beta alpha) i) (* alpha beta)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]backup-simplify:  Simplify (* (/ (+ alpha i) (fma i 2 alpha)) (fma i (+ beta (+ alpha i)) (* beta alpha))) into (/ (* (+ alpha i) (fma i (+ beta (+ alpha i)) (* beta alpha))) (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (sqrt (/ (* (+ alpha i) (fma i (+ beta (+ alpha i)) (* beta alpha))) (fma i 2 alpha))) into (sqrt (/ (* (+ alpha i) (fma i (+ beta (+ alpha i)) (* beta alpha))) (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (- (/ 1 (fma i 2 alpha)) (+ (* (/ (+ alpha i) (fma i 2 alpha)) (/ 1 (fma i 2 alpha))))) into (- (/ 1 (fma i 2 alpha)) (+ (/ i (sqr (fma i 2 alpha))) (/ alpha (sqr (fma i 2 alpha)))))
* [misc]backup-simplify:  Simplify (+ (* (/ (+ alpha i) (fma i 2 alpha)) 0) (* (- (/ 1 (fma i 2 alpha)) (+ (/ i (sqr (fma i 2 alpha))) (/ alpha (sqr (fma i 2 alpha))))) (fma i (+ beta (+ alpha i)) (* beta alpha)))) into (- (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha)) (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) alpha) (sqr (fma i 2 alpha))) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha)))))
* [misc]backup-simplify:  Simplify (/ (- (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha)) (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) alpha) (sqr (fma i 2 alpha))) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha))))) (* 2 (sqrt (/ (* (+ alpha i) (fma i (+ beta (+ alpha i)) (* beta alpha))) (fma i 2 alpha))))) into (* 1/2 (* (sqrt (/ (fma i 2 alpha) (* (+ alpha i) (fma i (+ beta (+ alpha i)) (* beta alpha))))) (- (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha)) (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) alpha) (sqr (fma i 2 alpha))) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha)))))))
* [misc]taylor:  Taking taylor expansion of (sqrt (/ i (+ beta (fma i 2 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ i (+ beta (fma i 2 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in beta
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ 0 (fma i 2 alpha)) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (/ i (fma i 2 alpha)) into (/ i (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (sqrt (/ i (fma i 2 alpha))) into (sqrt (/ i (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (- (/ 0 (fma i 2 alpha)) (+ (* (/ i (fma i 2 alpha)) (/ 1 (fma i 2 alpha))))) into (- (/ i (sqr (fma i 2 alpha))))
* [misc]backup-simplify:  Simplify (/ (- (/ i (sqr (fma i 2 alpha)))) (* 2 (sqrt (/ i (fma i 2 alpha))))) into (* -1/2 (sqrt (/ i (pow (fma i 2 alpha) 3))))
* [misc]backup-simplify:  Simplify (* (sqrt (/ (* (+ alpha i) (fma i (+ beta (+ alpha i)) (* beta alpha))) (fma i 2 alpha))) (sqrt (/ i (fma i 2 alpha)))) into (* (sqrt (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i))) (/ 1 (fma i 2 alpha)))
* [misc]taylor:  Taking taylor expansion of (* (sqrt (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i))) (/ 1 (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqrt (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (+ 0 i) into i
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) into (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)
* [misc]backup-simplify:  Simplify (* i (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) into (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i))
* [misc]backup-simplify:  Simplify (sqrt (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i))) into (* (sqrt (fma i (+ beta (+ alpha i)) (* beta alpha))) i)
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) (* 0 i)) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ (* i 0) (* 1 (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i))) into (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)
* [misc]backup-simplify:  Simplify (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* 2 (sqrt (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i))))) into (* 1/2 (sqrt (fma i (+ beta (+ alpha i)) (* beta alpha))))
* [misc]taylor:  Taking taylor expansion of (/ 1 (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (/ 1 (fma i 2 alpha)) into (/ 1 (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* (* (sqrt (fma i (+ beta (+ alpha i)) (* beta alpha))) i) (/ 1 (fma i 2 alpha))) into (* (sqrt (fma i (+ beta (+ alpha i)) (* beta alpha))) (/ i (fma i 2 alpha)))
* [misc]taylor:  Taking taylor expansion of (* (sqrt (fma i (+ beta (+ alpha i)) (* beta alpha))) (/ i (fma i 2 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (sqrt (fma i (+ beta (+ alpha i)) (* beta alpha))) in i
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in i
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]backup-simplify:  Simplify (sqrt (fma i (+ beta (+ alpha i)) (* beta alpha))) into (sqrt (fma i (+ beta (+ alpha i)) (* beta alpha)))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (fma i (+ beta (+ alpha i)) (* beta alpha))))) into 0
* [misc]taylor:  Taking taylor expansion of (/ i (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (/ 1 (fma i 2 alpha)) into (/ 1 (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (+ (* (sqrt (/ (* (+ alpha i) (fma i (+ beta (+ alpha i)) (* beta alpha))) (fma i 2 alpha))) (* -1/2 (sqrt (/ i (pow (fma i 2 alpha) 3))))) (* (* 1/2 (* (sqrt (/ (fma i 2 alpha) (* (+ alpha i) (fma i (+ beta (+ alpha i)) (* beta alpha))))) (- (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha)) (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) alpha) (sqr (fma i 2 alpha))) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha))))))) (sqrt (/ i (fma i 2 alpha))))) into (- (* 1/2 (* (sqrt (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (+ alpha i))) (/ 1 (fma i 2 alpha)))) (+ (* 1/2 (* (sqrt (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (pow i 3)) (+ alpha i))) (/ 1 (sqr (fma i 2 alpha))))) (+ (* 1/2 (* (sqrt (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (+ alpha i))) (/ alpha (sqr (fma i 2 alpha))))) (* 1/2 (* (sqrt (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i))) (/ 1 (sqr (fma i 2 alpha))))))))
* [misc]taylor:  Taking taylor expansion of (- (* 1/2 (* (sqrt (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (+ alpha i))) (/ 1 (fma i 2 alpha)))) (+ (* 1/2 (* (sqrt (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (pow i 3)) (+ alpha i))) (/ 1 (sqr (fma i 2 alpha))))) (+ (* 1/2 (* (sqrt (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (+ alpha i))) (/ alpha (sqr (fma i 2 alpha))))) (* 1/2 (* (sqrt (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i))) (/ 1 (sqr (fma i 2 alpha)))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 1/2 (* (sqrt (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (+ alpha i))) (/ 1 (fma i 2 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of 1/2 in alpha
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (* (sqrt (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (+ alpha i))) (/ 1 (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqrt (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (+ alpha i))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (+ alpha i)) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) into (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)
* [misc]backup-simplify:  Simplify (+ 0 i) into i
* [misc]backup-simplify:  Simplify (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) i) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]backup-simplify:  Simplify (sqrt (fma i (+ beta (+ alpha i)) (* beta alpha))) into (sqrt (fma i (+ beta (+ alpha i)) (* beta alpha)))
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) (* 0 i)) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (- (/ 0 i) (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (/ 1 i)))) into (- (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) i))
* [misc]backup-simplify:  Simplify (/ (- (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (* 2 (sqrt (fma i (+ beta (+ alpha i)) (* beta alpha))))) into (* -1/2 (* (sqrt (fma i (+ beta (+ alpha i)) (* beta alpha))) (/ 1 i)))
* [misc]taylor:  Taking taylor expansion of (/ 1 (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (/ 1 (fma i 2 alpha)) into (/ 1 (fma i 2 alpha))
* [misc]taylor:  Taking taylor expansion of (+ (* 1/2 (* (sqrt (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (pow i 3)) (+ alpha i))) (/ 1 (sqr (fma i 2 alpha))))) (+ (* 1/2 (* (sqrt (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (+ alpha i))) (/ alpha (sqr (fma i 2 alpha))))) (* 1/2 (* (sqrt (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i))) (/ 1 (sqr (fma i 2 alpha))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 1/2 (* (sqrt (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (pow i 3)) (+ alpha i))) (/ 1 (sqr (fma i 2 alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of 1/2 in alpha
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (* (sqrt (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (pow i 3)) (+ alpha i))) (/ 1 (sqr (fma i 2 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqrt (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (pow i 3)) (+ alpha i))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (pow i 3)) (+ alpha i)) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (pow i 3)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (pow i 3) in alpha
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log i))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 3 (log i)) in alpha
* [misc]taylor:  Taking taylor expansion of 3 in alpha
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (log i) into (log i)
* [misc]backup-simplify:  Simplify (* 3 (log i)) into (* 3 (log i))
* [misc]backup-simplify:  Simplify (exp (* 3 (log i))) into (pow i 3)
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (pow i 3)) into (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (pow i 3))
* [misc]backup-simplify:  Simplify (+ 0 i) into i
* [misc]backup-simplify:  Simplify (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (pow i 3)) i) into (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i))
* [misc]backup-simplify:  Simplify (sqrt (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i))) into (* (sqrt (fma i (+ beta (+ alpha i)) (* beta alpha))) i)
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow i 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (* 0 (log i))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 3 (log i))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) (* 0 (pow i 3))) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (- (/ 0 i) (+ (* (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (/ 1 i)))) into (- (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i))
* [misc]backup-simplify:  Simplify (/ (- (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (* 2 (sqrt (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i))))) into (* -1/2 (sqrt (fma i (+ beta (+ alpha i)) (* beta alpha))))
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqr (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (/ 1 (sqr (fma i 2 alpha))) into (/ 1 (sqr (fma i 2 alpha)))
* [misc]taylor:  Taking taylor expansion of (+ (* 1/2 (* (sqrt (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (+ alpha i))) (/ alpha (sqr (fma i 2 alpha))))) (* 1/2 (* (sqrt (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i))) (/ 1 (sqr (fma i 2 alpha)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 1/2 (* (sqrt (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (+ alpha i))) (/ alpha (sqr (fma i 2 alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of 1/2 in alpha
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (* (sqrt (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (+ alpha i))) (/ alpha (sqr (fma i 2 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqrt (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (+ alpha i))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (+ alpha i)) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) into (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)
* [misc]backup-simplify:  Simplify (+ 0 i) into i
* [misc]backup-simplify:  Simplify (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) i) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]backup-simplify:  Simplify (sqrt (fma i (+ beta (+ alpha i)) (* beta alpha))) into (sqrt (fma i (+ beta (+ alpha i)) (* beta alpha)))
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) (* 0 i)) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (- (/ 0 i) (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (/ 1 i)))) into (- (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) i))
* [misc]backup-simplify:  Simplify (/ (- (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (* 2 (sqrt (fma i (+ beta (+ alpha i)) (* beta alpha))))) into (* -1/2 (* (sqrt (fma i (+ beta (+ alpha i)) (* beta alpha))) (/ 1 i)))
* [misc]taylor:  Taking taylor expansion of (/ alpha (sqr (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (/ 1 (sqr (fma i 2 alpha))) into (/ 1 (sqr (fma i 2 alpha)))
* [misc]taylor:  Taking taylor expansion of (* 1/2 (* (sqrt (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i))) (/ 1 (sqr (fma i 2 alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of 1/2 in alpha
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (* (sqrt (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i))) (/ 1 (sqr (fma i 2 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqrt (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (+ 0 i) into i
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) into (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)
* [misc]backup-simplify:  Simplify (* i (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) into (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i))
* [misc]backup-simplify:  Simplify (sqrt (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i))) into (* (sqrt (fma i (+ beta (+ alpha i)) (* beta alpha))) i)
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) (* 0 i)) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ (* i 0) (* 1 (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i))) into (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)
* [misc]backup-simplify:  Simplify (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* 2 (sqrt (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i))))) into (* 1/2 (sqrt (fma i (+ beta (+ alpha i)) (* beta alpha))))
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqr (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (/ 1 (sqr (fma i 2 alpha))) into (/ 1 (sqr (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (* (sqrt (fma i (+ beta (+ alpha i)) (* beta alpha))) (/ 1 (fma i 2 alpha))) into (* (sqrt (fma i (+ beta (+ alpha i)) (* beta alpha))) (/ 1 (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (* 1/2 (* (sqrt (fma i (+ beta (+ alpha i)) (* beta alpha))) (/ 1 (fma i 2 alpha)))) into (* 1/2 (* (sqrt (fma i (+ beta (+ alpha i)) (* beta alpha))) (/ 1 (fma i 2 alpha))))
* [misc]backup-simplify:  Simplify (* (* (sqrt (fma i (+ beta (+ alpha i)) (* beta alpha))) i) (/ 1 (sqr (fma i 2 alpha)))) into (* (sqrt (fma i (+ beta (+ alpha i)) (* beta alpha))) (/ i (sqr (fma i 2 alpha))))
* [misc]backup-simplify:  Simplify (* 1/2 (* (sqrt (fma i (+ beta (+ alpha i)) (* beta alpha))) (/ i (sqr (fma i 2 alpha))))) into (* 1/2 (* (sqrt (fma i (+ beta (+ alpha i)) (* beta alpha))) (/ i (sqr (fma i 2 alpha)))))
* [misc]backup-simplify:  Simplify (* (* (sqrt (fma i (+ beta (+ alpha i)) (* beta alpha))) i) (/ 1 (sqr (fma i 2 alpha)))) into (* (sqrt (fma i (+ beta (+ alpha i)) (* beta alpha))) (/ i (sqr (fma i 2 alpha))))
* [misc]backup-simplify:  Simplify (* 1/2 (* (sqrt (fma i (+ beta (+ alpha i)) (* beta alpha))) (/ i (sqr (fma i 2 alpha))))) into (* 1/2 (* (sqrt (fma i (+ beta (+ alpha i)) (* beta alpha))) (/ i (sqr (fma i 2 alpha)))))
* [misc]backup-simplify:  Simplify (+ 0 (* 1/2 (* (sqrt (fma i (+ beta (+ alpha i)) (* beta alpha))) (/ i (sqr (fma i 2 alpha)))))) into (* 1/2 (* (sqrt (fma i (+ beta (+ alpha i)) (* beta alpha))) (/ i (sqr (fma i 2 alpha)))))
* [misc]backup-simplify:  Simplify (+ (* 1/2 (* (sqrt (fma i (+ beta (+ alpha i)) (* beta alpha))) (/ i (sqr (fma i 2 alpha))))) (* 1/2 (* (sqrt (fma i (+ beta (+ alpha i)) (* beta alpha))) (/ i (sqr (fma i 2 alpha)))))) into (* (sqrt (fma i (+ beta (+ alpha i)) (* beta alpha))) (/ i (sqr (fma i 2 alpha))))
* [misc]backup-simplify:  Simplify (- (* (sqrt (fma i (+ beta (+ alpha i)) (* beta alpha))) (/ i (sqr (fma i 2 alpha))))) into (- (* (sqrt (fma i (+ beta (+ alpha i)) (* beta alpha))) (/ i (sqr (fma i 2 alpha)))))
* [misc]backup-simplify:  Simplify (+ (* 1/2 (* (sqrt (fma i (+ beta (+ alpha i)) (* beta alpha))) (/ 1 (fma i 2 alpha)))) (- (* (sqrt (fma i (+ beta (+ alpha i)) (* beta alpha))) (/ i (sqr (fma i 2 alpha)))))) into (- (* 1/2 (* (sqrt (fma i (+ beta (+ alpha i)) (* beta alpha))) (/ 1 (fma i 2 alpha)))) (* (sqrt (fma i (+ beta (+ alpha i)) (* beta alpha))) (/ i (sqr (fma i 2 alpha)))))
* [misc]taylor:  Taking taylor expansion of (- (* 1/2 (* (sqrt (fma i (+ beta (+ alpha i)) (* beta alpha))) (/ 1 (fma i 2 alpha)))) (* (sqrt (fma i (+ beta (+ alpha i)) (* beta alpha))) (/ i (sqr (fma i 2 alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (* 1/2 (* (sqrt (fma i (+ beta (+ alpha i)) (* beta alpha))) (/ 1 (fma i 2 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of 1/2 in i
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (* (sqrt (fma i (+ beta (+ alpha i)) (* beta alpha))) (/ 1 (fma i 2 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (sqrt (fma i (+ beta (+ alpha i)) (* beta alpha))) in i
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in i
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]backup-simplify:  Simplify (sqrt (fma i (+ beta (+ alpha i)) (* beta alpha))) into (sqrt (fma i (+ beta (+ alpha i)) (* beta alpha)))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (fma i (+ beta (+ alpha i)) (* beta alpha))))) into 0
* [misc]taylor:  Taking taylor expansion of (/ 1 (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (/ 1 (fma i 2 alpha)) into (/ 1 (fma i 2 alpha))
* [misc]taylor:  Taking taylor expansion of (* (sqrt (fma i (+ beta (+ alpha i)) (* beta alpha))) (/ i (sqr (fma i 2 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (sqrt (fma i (+ beta (+ alpha i)) (* beta alpha))) in i
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in i
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]backup-simplify:  Simplify (sqrt (fma i (+ beta (+ alpha i)) (* beta alpha))) into (sqrt (fma i (+ beta (+ alpha i)) (* beta alpha)))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (fma i (+ beta (+ alpha i)) (* beta alpha))))) into 0
* [misc]taylor:  Taking taylor expansion of (/ i (sqr (fma i 2 alpha))) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (/ 1 (sqr (fma i 2 alpha))) into (/ 1 (sqr (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (* (sqrt (fma i (+ beta (+ alpha i)) (* beta alpha))) (/ 1 (fma i 2 alpha))) into (* (sqrt (fma i (+ beta (+ alpha i)) (* beta alpha))) (/ 1 (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (* 1/2 (* (sqrt (fma i (+ beta (+ alpha i)) (* beta alpha))) (/ 1 (fma i 2 alpha)))) into (* 1/2 (* (sqrt (fma i (+ beta (+ alpha i)) (* beta alpha))) (/ 1 (fma i 2 alpha))))
* [misc]backup-simplify:  Simplify (+ (* 1/2 (* (sqrt (fma i (+ beta (+ alpha i)) (* beta alpha))) (/ 1 (fma i 2 alpha)))) 0) into (* 1/2 (* (sqrt (fma i (+ beta (+ alpha i)) (* beta alpha))) (/ 1 (fma i 2 alpha))))
* [misc]backup-simplify:  Simplify (* 1/2 (* (sqrt (fma i (+ beta (+ alpha i)) (* beta alpha))) (/ 1 (fma i 2 alpha)))) into (* 1/2 (* (sqrt (fma i (+ beta (+ alpha i)) (* beta alpha))) (/ 1 (fma i 2 alpha))))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (fma i 2 alpha)) (/ 0 (fma i 2 alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* (sqrt (fma i (+ beta (+ alpha i)) (* beta alpha))) i) 0) (* (* 1/2 (sqrt (fma i (+ beta (+ alpha i)) (* beta alpha)))) (/ 1 (fma i 2 alpha)))) into (* 1/2 (* (sqrt (fma i (+ beta (+ alpha i)) (* beta alpha))) (/ 1 (fma i 2 alpha))))
* [misc]taylor:  Taking taylor expansion of (* 1/2 (* (sqrt (fma i (+ beta (+ alpha i)) (* beta alpha))) (/ 1 (fma i 2 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of 1/2 in i
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (* (sqrt (fma i (+ beta (+ alpha i)) (* beta alpha))) (/ 1 (fma i 2 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (sqrt (fma i (+ beta (+ alpha i)) (* beta alpha))) in i
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in i
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]backup-simplify:  Simplify (sqrt (fma i (+ beta (+ alpha i)) (* beta alpha))) into (sqrt (fma i (+ beta (+ alpha i)) (* beta alpha)))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (fma i (+ beta (+ alpha i)) (* beta alpha))))) into 0
* [misc]taylor:  Taking taylor expansion of (/ 1 (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (/ 1 (fma i 2 alpha)) into (/ 1 (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* (sqrt (fma i (+ beta (+ alpha i)) (* beta alpha))) (/ 1 (fma i 2 alpha))) into (* (sqrt (fma i (+ beta (+ alpha i)) (* beta alpha))) (/ 1 (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (* 1/2 (* (sqrt (fma i (+ beta (+ alpha i)) (* beta alpha))) (/ 1 (fma i 2 alpha)))) into (* 1/2 (* (sqrt (fma i (+ beta (+ alpha i)) (* beta alpha))) (/ 1 (fma i 2 alpha))))
* [misc]backup-simplify:  Simplify (* 1/2 (* (sqrt (fma i (+ beta (+ alpha i)) (* beta alpha))) (/ 1 (fma i 2 alpha)))) into (* 1/2 (* (sqrt (fma i (+ beta (+ alpha i)) (* beta alpha))) (/ 1 (fma i 2 alpha))))
* [misc]backup-simplify:  Simplify (* (sqrt (fma i (+ beta (+ alpha i)) (* beta alpha))) (/ 1 (fma i 2 alpha))) into (* (sqrt (fma i (+ beta (+ alpha i)) (* beta alpha))) (/ 1 (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (* (sqrt (fma i (+ beta (+ alpha i)) (* beta alpha))) (/ 1 (fma i 2 alpha))) into (* (sqrt (fma i (+ beta (+ alpha i)) (* beta alpha))) (/ 1 (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (+ (* (* (sqrt (fma i (+ beta (+ alpha i)) (* beta alpha))) (/ 1 (fma i 2 alpha))) (* i (* 1 1))) (+ (* (* 1/2 (* (sqrt (fma i (+ beta (+ alpha i)) (* beta alpha))) (/ 1 (fma i 2 alpha)))) (* 1 (* alpha 1))) (* (* 1/2 (* (sqrt (fma i (+ beta (+ alpha i)) (* beta alpha))) (/ 1 (fma i 2 alpha)))) (* 1 (* 1 beta))))) into (+ (* 1/2 (* (sqrt (fma i (+ beta (+ alpha i)) (* beta alpha))) (/ alpha (fma i 2 alpha)))) (+ (* 1/2 (* (sqrt (fma i (+ beta (+ alpha i)) (* beta alpha))) (/ beta (fma i 2 alpha)))) (* (sqrt (fma i (+ beta (+ alpha i)) (* beta alpha))) (/ i (fma i 2 alpha)))))
* [misc]approximate:  Taking taylor expansion of (* (sqrt (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))))) (sqrt (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) in (beta alpha i) around 0
* [misc]taylor:  Taking taylor expansion of (* (sqrt (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))))) (sqrt (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) in i
* [misc]taylor:  Taking taylor expansion of (sqrt (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))))) in i
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) in i
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) in i
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (/ 1 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) into (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) into (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (* (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (* 2 (sqrt 0))) into (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))
* [misc]taylor:  Taking taylor expansion of (sqrt (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) into (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) into (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (* 2 (sqrt 0))) into (/ +nan.0 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (* (sqrt (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))))) (sqrt (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqrt (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (/ 1 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) into (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) into (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (* (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (* 2 (sqrt 0))) into (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))
* [misc]taylor:  Taking taylor expansion of (sqrt (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) into (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) into (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))
* [misc]backup-simplify:  Simplify (sqrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))) into (sqrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i)))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (+ (* (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i)) (/ 0 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))))) into 0
* [misc]taylor:  Taking taylor expansion of (* (sqrt (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))))) (sqrt (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) in beta
* [misc]taylor:  Taking taylor expansion of (sqrt (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))))) in beta
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (/ 1 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (* 1 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) into (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 alpha)) into (/ 1 alpha)
* [misc]backup-simplify:  Simplify (+ (/ 1 alpha) (/ 1 i)) into (+ (/ 1 i) (/ 1 alpha))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (fma (/ 1 i) 2 (/ 1 alpha))) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (- (/ (+ (/ 1 i) (/ 1 alpha)) 1) (+ (* 1 (/ (fma (/ 1 i) 2 (/ 1 alpha)) 1)))) into (- (+ (/ 1 i) (/ 1 alpha)) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* (- (+ (/ 1 i) (/ 1 alpha)) (fma (/ 1 i) 2 (/ 1 alpha))) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))) into (- (+ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) alpha)) (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (/ (- (+ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) alpha)) (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))) (* 2 (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))))) into (* 1/2 (* (- (+ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) alpha)) (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))) (sqrt (/ 1 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))))))
* [misc]taylor:  Taking taylor expansion of (sqrt (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (/ 1 i) 1) into (/ 1 i)
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ (/ 1 i) (* 2 (sqrt 0))) into (/ +nan.0 i)
* [misc]taylor:  Taking taylor expansion of (* (sqrt (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))))) (sqrt (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) in beta
* [misc]taylor:  Taking taylor expansion of (sqrt (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))))) in beta
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (/ 1 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (* 1 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) into (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 alpha)) into (/ 1 alpha)
* [misc]backup-simplify:  Simplify (+ (/ 1 alpha) (/ 1 i)) into (+ (/ 1 i) (/ 1 alpha))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (fma (/ 1 i) 2 (/ 1 alpha))) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (- (/ (+ (/ 1 i) (/ 1 alpha)) 1) (+ (* 1 (/ (fma (/ 1 i) 2 (/ 1 alpha)) 1)))) into (- (+ (/ 1 i) (/ 1 alpha)) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* (- (+ (/ 1 i) (/ 1 alpha)) (fma (/ 1 i) 2 (/ 1 alpha))) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))) into (- (+ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) alpha)) (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (/ (- (+ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) alpha)) (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))) (* 2 (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))))) into (* 1/2 (* (- (+ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) alpha)) (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))) (sqrt (/ 1 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))))))
* [misc]taylor:  Taking taylor expansion of (sqrt (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (/ 1 i) 1) into (/ 1 i)
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ (/ 1 i) (* 2 (sqrt 0))) into (/ +nan.0 i)
* [misc]backup-simplify:  Simplify (* (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (/ +nan.0 i)) (* (* 1/2 (* (- (+ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) alpha)) (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))) (sqrt (/ 1 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))))) 0)) into (- (* +nan.0 (* (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (/ 1 i))))
* [misc]taylor:  Taking taylor expansion of (- (* +nan.0 (* (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (/ 1 i)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (* (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (/ 1 i))) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (* (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (/ 1 i)) in alpha
* [misc]taylor:  Taking taylor expansion of (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) into (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))))) into 0
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (fma (/ 1 i) 2 (/ 1 alpha))) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (/ 1 i) (/ (fma (/ 1 i) 2 (/ 1 alpha)) 1)))) into (- (/ (fma (/ 1 i) 2 (/ 1 alpha)) i))
* [misc]backup-simplify:  Simplify (/ (- (- (/ (fma (/ 1 i) 2 (/ 1 alpha)) i)) (sqr (/ +nan.0 i)) (+)) (* 2 0)) into (* +nan.0 (+ (/ (fma (/ 1 i) 2 (/ 1 alpha)) i) (- (* +nan.0 (/ 1 (sqr i))))))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (- (+ (/ 1 i) (/ 1 alpha)) (fma (/ 1 i) 2 (/ 1 alpha))) (/ (fma (/ 1 i) 2 (/ 1 alpha)) 1)))) into (- (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (+ (/ (fma (/ 1 i) 2 (/ 1 alpha)) i) (/ (fma (/ 1 i) 2 (/ 1 alpha)) alpha)))
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* (- (+ (/ 1 i) (/ 1 alpha)) (fma (/ 1 i) 2 (/ 1 alpha))) 0) (* (- (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (+ (/ (fma (/ 1 i) 2 (/ 1 alpha)) i) (/ (fma (/ 1 i) 2 (/ 1 alpha)) alpha))) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))))) into (- (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (+ (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) alpha) (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))
* [misc]backup-simplify:  Simplify (/ (- (- (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (+ (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) alpha) (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i))) (sqr (* 1/2 (* (- (+ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) alpha)) (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))) (sqrt (/ 1 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))))))) (+)) (* 2 (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))))) into (* 1/2 (* (sqrt (/ 1 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))) (- (* 3/4 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))) (+ (* 1/4 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i))) (+ (* 1/2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) alpha)) (+ (* 1/4 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr alpha))) (+ (* 1/2 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i))) (* 1/2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))))))))
* [misc]backup-simplify:  Simplify (+ (* (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (* +nan.0 (+ (/ (fma (/ 1 i) 2 (/ 1 alpha)) i) (- (* +nan.0 (/ 1 (sqr i))))))) (+ (* (* 1/2 (* (- (+ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) alpha)) (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))) (sqrt (/ 1 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))))) (/ +nan.0 i)) (* (* 1/2 (* (sqrt (/ 1 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))) (- (* 3/4 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))) (+ (* 1/4 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i))) (+ (* 1/2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) alpha)) (+ (* 1/4 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr alpha))) (+ (* 1/2 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i))) (* 1/2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i))))))))) 0))) into (- (+ (* +nan.0 (* (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (/ (fma (/ 1 i) 2 (/ 1 alpha)) i))) (- (+ (* +nan.0 (* (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (/ 1 (* alpha i)))) (- (* +nan.0 (* (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (/ 1 (sqr i)))))))))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (* (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (/ (fma (/ 1 i) 2 (/ 1 alpha)) i))) (- (+ (* +nan.0 (* (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (/ 1 (* alpha i)))) (- (* +nan.0 (* (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (/ 1 (sqr i))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (* (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (/ (fma (/ 1 i) 2 (/ 1 alpha)) i))) (- (+ (* +nan.0 (* (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (/ 1 (* alpha i)))) (- (* +nan.0 (* (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (/ 1 (sqr i)))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (* (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (/ (fma (/ 1 i) 2 (/ 1 alpha)) i))) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (* (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (/ (fma (/ 1 i) 2 (/ 1 alpha)) i)) in alpha
* [misc]taylor:  Taking taylor expansion of (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) into (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))))) into 0
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) 2 (/ 1 alpha)) i) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) 2 (/ 1 alpha)) i) into (/ (fma (/ 1 i) 2 (/ 1 alpha)) i)
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (* (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (/ 1 (* alpha i)))) (- (* +nan.0 (* (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (/ 1 (sqr i))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (* (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (/ 1 (* alpha i)))) (- (* +nan.0 (* (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (/ 1 (sqr i)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (* (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (/ 1 (* alpha i)))) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (* (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (/ 1 (* alpha i))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) into (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))))) into 0
* [misc]taylor:  Taking taylor expansion of (/ 1 (* alpha i)) in alpha
* [misc]taylor:  Taking taylor expansion of (* alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* 0 i) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 i)) into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (- (* +nan.0 (* (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (/ 1 (sqr i))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (* (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (/ 1 (sqr i)))) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (* (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (/ 1 (sqr i))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) into (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))))) into 0
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqr i)) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (/ 1 (sqr i)) into (/ 1 (sqr i))
* [misc]backup-simplify:  Simplify (* (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (/ 1 i)) into (* (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (/ 1 i))
* [misc]backup-simplify:  Simplify (* +nan.0 (* (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (/ 1 i))) into (* +nan.0 (* (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (/ 1 i)))
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (* (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (/ 1 i))) 0) into (- (* +nan.0 (* (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (/ 1 i))))
* [misc]backup-simplify:  Simplify (- (- (* +nan.0 (* (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (/ 1 i))))) into (- (* +nan.0 (* (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (/ 1 i))))
* [misc]backup-simplify:  Simplify (+ 0 (- (* +nan.0 (* (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (/ 1 i))))) into (- (* +nan.0 (* (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (/ 1 i))))
* [misc]backup-simplify:  Simplify (- (- (* +nan.0 (* (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (/ 1 i))))) into (- (* +nan.0 (* (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (/ 1 i))))
* [misc]taylor:  Taking taylor expansion of (- (* +nan.0 (* (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (/ 1 i)))) in i
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (* (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (/ 1 i))) in i
* [misc]taylor:  Taking taylor expansion of +nan.0 in i
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (* (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (/ 1 i)) in i
* [misc]taylor:  Taking taylor expansion of (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) into (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))))) into 0
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (* (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (/ 1 i)) into (* (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (/ 1 i))
* [misc]backup-simplify:  Simplify (* +nan.0 (* (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (/ 1 i))) into (* +nan.0 (* (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (/ 1 i)))
* [misc]backup-simplify:  Simplify (- (* +nan.0 (* (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (/ 1 i)))) into (- (* +nan.0 (* (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (/ 1 i))))
* [misc]taylor:  Taking taylor expansion of (- (* +nan.0 (* (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (/ 1 i)))) in i
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (* (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (/ 1 i))) in i
* [misc]taylor:  Taking taylor expansion of +nan.0 in i
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (* (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (/ 1 i)) in i
* [misc]taylor:  Taking taylor expansion of (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) into (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))))) into 0
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 i) (/ 0 i)) (* 0 (/ 0 i)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (/ 1 i) (/ 0 1)) (* (- (/ (fma (/ 1 i) 2 (/ 1 alpha)) i)) (/ (fma (/ 1 i) 2 (/ 1 alpha)) 1)))) into (/ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) i)
* [misc]backup-simplify:  Simplify (/ (- (/ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) i) (+ (* 2 (* (/ +nan.0 i) (* +nan.0 (+ (/ (fma (/ 1 i) 2 (/ 1 alpha)) i) (- (* +nan.0 (/ 1 (sqr i)))))))))) (* 2 0)) into (* +nan.0 (- (/ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) i) (+ (* +nan.0 (/ (fma (/ 1 i) 2 (/ 1 alpha)) (sqr i))) (- (* +nan.0 (/ 1 (pow i 3)))))))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)) (* 0 (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 i) (/ 0 i)) (* 0 (/ 0 i)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (- (+ (/ 1 i) (/ 1 alpha)) (fma (/ 1 i) 2 (/ 1 alpha))) (/ 0 1)) (* (- (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (+ (/ (fma (/ 1 i) 2 (/ 1 alpha)) i) (/ (fma (/ 1 i) 2 (/ 1 alpha)) alpha))) (/ (fma (/ 1 i) 2 (/ 1 alpha)) 1)))) into (- (+ (/ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) alpha) (/ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) i)) (pow (fma (/ 1 i) 2 (/ 1 alpha)) 3))
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* (- (+ (/ 1 i) (/ 1 alpha)) (fma (/ 1 i) 2 (/ 1 alpha))) 0) (+ (* (- (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (+ (/ (fma (/ 1 i) 2 (/ 1 alpha)) i) (/ (fma (/ 1 i) 2 (/ 1 alpha)) alpha))) 0) (* (- (+ (/ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) alpha) (/ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) i)) (pow (fma (/ 1 i) 2 (/ 1 alpha)) 3)) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))))) into (- (+ (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) alpha) (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)) (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (pow (fma (/ 1 i) 2 (/ 1 alpha)) 3)))
* [misc]backup-simplify:  Simplify (/ (- (- (+ (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) alpha) (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)) (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (pow (fma (/ 1 i) 2 (/ 1 alpha)) 3))) (+ (* 2 (* (* 1/2 (* (- (+ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) alpha)) (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))) (sqrt (/ 1 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))))) (* 1/2 (* (sqrt (/ 1 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))) (- (* 3/4 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))) (+ (* 1/4 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i))) (+ (* 1/2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) alpha)) (+ (* 1/4 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr alpha))) (+ (* 1/2 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i))) (* 1/2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i))))))))))))) (* 2 (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))))) into (* 1/2 (* (sqrt (/ 1 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))) (- (+ (* 3/8 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (sqr alpha) i))) (+ (* 1/8 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (pow i 3))) (+ (* 3/8 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) alpha)) (+ (* 3/8 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha (sqr i)))) (+ (* 1/4 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (* alpha i))) (+ (* 1/8 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr alpha))) (+ (* 1/8 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (pow alpha 3))) (+ (* 1/8 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (* 3/8 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)))))))))) (* 5/8 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (pow (fma (/ 1 i) 2 (/ 1 alpha)) 3))))))
* [misc]backup-simplify:  Simplify (+ (* (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (* +nan.0 (- (/ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) i) (+ (* +nan.0 (/ (fma (/ 1 i) 2 (/ 1 alpha)) (sqr i))) (- (* +nan.0 (/ 1 (pow i 3)))))))) (+ (* (* 1/2 (* (- (+ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) alpha)) (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))) (sqrt (/ 1 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))))) (* +nan.0 (+ (/ (fma (/ 1 i) 2 (/ 1 alpha)) i) (- (* +nan.0 (/ 1 (sqr i))))))) (+ (* (* 1/2 (* (sqrt (/ 1 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))) (- (* 3/4 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))) (+ (* 1/4 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i))) (+ (* 1/2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) alpha)) (+ (* 1/4 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr alpha))) (+ (* 1/2 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i))) (* 1/2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i))))))))) (/ +nan.0 i)) (* (* 1/2 (* (sqrt (/ 1 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))) (- (+ (* 3/8 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (sqr alpha) i))) (+ (* 1/8 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (pow i 3))) (+ (* 3/8 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) alpha)) (+ (* 3/8 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha (sqr i)))) (+ (* 1/4 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (* alpha i))) (+ (* 1/8 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr alpha))) (+ (* 1/8 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (pow alpha 3))) (+ (* 1/8 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (* 3/8 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)))))))))) (* 5/8 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (pow (fma (/ 1 i) 2 (/ 1 alpha)) 3)))))) 0)))) into (- (+ (* +nan.0 (* (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (/ 1 (* (sqr alpha) i)))) (- (+ (* +nan.0 (* (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (/ (fma (/ 1 i) 2 (/ 1 alpha)) (* alpha i)))) (- (+ (* +nan.0 (* (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (/ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) i))) (- (+ (* +nan.0 (* (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (/ 1 (* alpha (sqr i))))) (- (+ (* +nan.0 (* (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (/ 1 (pow i 3)))) (- (* +nan.0 (* (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (/ (fma (/ 1 i) 2 (/ 1 alpha)) (sqr i)))))))))))))))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (* (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (/ 1 (* (sqr alpha) i)))) (- (+ (* +nan.0 (* (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (/ (fma (/ 1 i) 2 (/ 1 alpha)) (* alpha i)))) (- (+ (* +nan.0 (* (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (/ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) i))) (- (+ (* +nan.0 (* (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (/ 1 (* alpha (sqr i))))) (- (+ (* +nan.0 (* (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (/ 1 (pow i 3)))) (- (* +nan.0 (* (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (/ (fma (/ 1 i) 2 (/ 1 alpha)) (sqr i))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (* (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (/ 1 (* (sqr alpha) i)))) (- (+ (* +nan.0 (* (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (/ (fma (/ 1 i) 2 (/ 1 alpha)) (* alpha i)))) (- (+ (* +nan.0 (* (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (/ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) i))) (- (+ (* +nan.0 (* (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (/ 1 (* alpha (sqr i))))) (- (+ (* +nan.0 (* (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (/ 1 (pow i 3)))) (- (* +nan.0 (* (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (/ (fma (/ 1 i) 2 (/ 1 alpha)) (sqr i)))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (* (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (/ 1 (* (sqr alpha) i)))) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (* (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (/ 1 (* (sqr alpha) i))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) into (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))))) into 0
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (sqr alpha) i)) in alpha
* [misc]taylor:  Taking taylor expansion of (* (sqr alpha) i) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* 0 i) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 0 i)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 0 0) (* 1 i))) into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (* (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (/ (fma (/ 1 i) 2 (/ 1 alpha)) (* alpha i)))) (- (+ (* +nan.0 (* (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (/ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) i))) (- (+ (* +nan.0 (* (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (/ 1 (* alpha (sqr i))))) (- (+ (* +nan.0 (* (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (/ 1 (pow i 3)))) (- (* +nan.0 (* (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (/ (fma (/ 1 i) 2 (/ 1 alpha)) (sqr i))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (* (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (/ (fma (/ 1 i) 2 (/ 1 alpha)) (* alpha i)))) (- (+ (* +nan.0 (* (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (/ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) i))) (- (+ (* +nan.0 (* (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (/ 1 (* alpha (sqr i))))) (- (+ (* +nan.0 (* (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (/ 1 (pow i 3)))) (- (* +nan.0 (* (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (/ (fma (/ 1 i) 2 (/ 1 alpha)) (sqr i)))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (* (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (/ (fma (/ 1 i) 2 (/ 1 alpha)) (* alpha i)))) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (* (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (/ (fma (/ 1 i) 2 (/ 1 alpha)) (* alpha i))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) into (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))))) into 0
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) 2 (/ 1 alpha)) (* alpha i)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (* alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* 0 i) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 i)) into i
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) 2 (/ 1 alpha)) i) into (/ (fma (/ 1 i) 2 (/ 1 alpha)) i)
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (* (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (/ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) i))) (- (+ (* +nan.0 (* (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (/ 1 (* alpha (sqr i))))) (- (+ (* +nan.0 (* (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (/ 1 (pow i 3)))) (- (* +nan.0 (* (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (/ (fma (/ 1 i) 2 (/ 1 alpha)) (sqr i))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (* (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (/ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) i))) (- (+ (* +nan.0 (* (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (/ 1 (* alpha (sqr i))))) (- (+ (* +nan.0 (* (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (/ 1 (pow i 3)))) (- (* +nan.0 (* (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (/ (fma (/ 1 i) 2 (/ 1 alpha)) (sqr i)))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (* (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (/ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) i))) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (* (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (/ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) i)) in alpha
* [misc]taylor:  Taking taylor expansion of (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) into (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))))) into 0
* [misc]taylor:  Taking taylor expansion of (/ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) i) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ 1 i) 2 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 i) 2 (/ 1 alpha))) into (sqr (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) i) into (/ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) i)
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (* (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (/ 1 (* alpha (sqr i))))) (- (+ (* +nan.0 (* (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (/ 1 (pow i 3)))) (- (* +nan.0 (* (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (/ (fma (/ 1 i) 2 (/ 1 alpha)) (sqr i))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (* (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (/ 1 (* alpha (sqr i))))) (- (+ (* +nan.0 (* (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (/ 1 (pow i 3)))) (- (* +nan.0 (* (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (/ (fma (/ 1 i) 2 (/ 1 alpha)) (sqr i)))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (* (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (/ 1 (* alpha (sqr i))))) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (* (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (/ 1 (* alpha (sqr i)))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) into (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))))) into 0
* [misc]taylor:  Taking taylor expansion of (/ 1 (* alpha (sqr i))) in alpha
* [misc]taylor:  Taking taylor expansion of (* alpha (sqr i)) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (sqr i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (* 0 (sqr i)) into 0
* [misc]backup-simplify:  Simplify (+ (* i 0) (* 0 i)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 (sqr i))) into (sqr i)
* [misc]backup-simplify:  Simplify (/ 1 (sqr i)) into (/ 1 (sqr i))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (* (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (/ 1 (pow i 3)))) (- (* +nan.0 (* (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (/ (fma (/ 1 i) 2 (/ 1 alpha)) (sqr i))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (* (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (/ 1 (pow i 3)))) (- (* +nan.0 (* (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (/ (fma (/ 1 i) 2 (/ 1 alpha)) (sqr i)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (* (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (/ 1 (pow i 3)))) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (* (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (/ 1 (pow i 3))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) into (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))))) into 0
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow i 3)) in alpha
* [misc]taylor:  Taking taylor expansion of (pow i 3) in alpha
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log i))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 3 (log i)) in alpha
* [misc]taylor:  Taking taylor expansion of 3 in alpha
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (log i) into (log i)
* [misc]backup-simplify:  Simplify (* 3 (log i)) into (* 3 (log i))
* [misc]backup-simplify:  Simplify (exp (* 3 (log i))) into (pow i 3)
* [misc]backup-simplify:  Simplify (/ 1 (pow i 3)) into (/ 1 (pow i 3))
* [misc]taylor:  Taking taylor expansion of (- (* +nan.0 (* (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (/ (fma (/ 1 i) 2 (/ 1 alpha)) (sqr i))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (* (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (/ (fma (/ 1 i) 2 (/ 1 alpha)) (sqr i)))) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (* (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (/ (fma (/ 1 i) 2 (/ 1 alpha)) (sqr i))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) into (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))))) into 0
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) 2 (/ 1 alpha)) (sqr i)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (sqr i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) 2 (/ 1 alpha)) (sqr i)) into (/ (fma (/ 1 i) 2 (/ 1 alpha)) (sqr i))
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 0 0) (+ (* 1 0) (* 0 i)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) 0) (* 0 (/ 1 i))) into 0
* [misc]backup-simplify:  Simplify (* (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (/ 1 i)) into (* (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (/ 1 i))
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (* 0 (* (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (/ 1 i)))) into 0
* [misc]backup-simplify:  Simplify (* (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (/ (fma (/ 1 i) 2 (/ 1 alpha)) i)) into (* (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (/ (fma (/ 1 i) 2 (/ 1 alpha)) i))
* [misc]backup-simplify:  Simplify (* +nan.0 (* (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (/ (fma (/ 1 i) 2 (/ 1 alpha)) i))) into (* +nan.0 (* (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (/ (fma (/ 1 i) 2 (/ 1 alpha)) i)))
* [misc]backup-simplify:  Simplify (* (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (/ 1 (sqr i))) into (* (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (/ 1 (sqr i)))
* [misc]backup-simplify:  Simplify (* +nan.0 (* (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (/ 1 (sqr i)))) into (* +nan.0 (* (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (/ 1 (sqr i))))
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (* (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (/ 1 (sqr i)))) 0) into (- (* +nan.0 (* (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (/ 1 (sqr i)))))
* [misc]backup-simplify:  Simplify (- (- (* +nan.0 (* (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (/ 1 (sqr i)))))) into (- (* +nan.0 (* (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (/ 1 (sqr i)))))
* [misc]backup-simplify:  Simplify (+ 0 (- (* +nan.0 (* (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (/ 1 (sqr i)))))) into (- (* +nan.0 (* (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (/ 1 (sqr i)))))
* [misc]backup-simplify:  Simplify (- (- (* +nan.0 (* (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (/ 1 (sqr i)))))) into (- (* +nan.0 (* (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (/ 1 (sqr i)))))
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (* (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (/ (fma (/ 1 i) 2 (/ 1 alpha)) i))) (- (* +nan.0 (* (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (/ 1 (sqr i)))))) into (- (+ (* +nan.0 (* (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (/ (fma (/ 1 i) 2 (/ 1 alpha)) i))) (- (* +nan.0 (* (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (/ 1 (sqr i)))))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (* (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (/ (fma (/ 1 i) 2 (/ 1 alpha)) i))) (- (* +nan.0 (* (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (/ 1 (sqr i)))))))) into (- (+ (* +nan.0 (* (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (/ (fma (/ 1 i) 2 (/ 1 alpha)) i))) (- (* +nan.0 (* (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (/ 1 (sqr i)))))))
* [misc]backup-simplify:  Simplify (+ 0 (- (+ (* +nan.0 (* (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (/ (fma (/ 1 i) 2 (/ 1 alpha)) i))) (- (* +nan.0 (* (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (/ 1 (sqr i)))))))) into (- (+ (* +nan.0 (* (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (/ (fma (/ 1 i) 2 (/ 1 alpha)) i))) (- (* +nan.0 (* (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (/ 1 (sqr i)))))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (* (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (/ (fma (/ 1 i) 2 (/ 1 alpha)) i))) (- (* +nan.0 (* (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (/ 1 (sqr i)))))))) into (- (+ (* +nan.0 (* (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (/ (fma (/ 1 i) 2 (/ 1 alpha)) i))) (- (* +nan.0 (* (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (/ 1 (sqr i)))))))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (* (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (/ (fma (/ 1 i) 2 (/ 1 alpha)) i))) (- (* +nan.0 (* (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (/ 1 (sqr i))))))) in i
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (* (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (/ (fma (/ 1 i) 2 (/ 1 alpha)) i))) (- (* +nan.0 (* (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (/ 1 (sqr i)))))) in i
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (* (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (/ (fma (/ 1 i) 2 (/ 1 alpha)) i))) in i
* [misc]taylor:  Taking taylor expansion of +nan.0 in i
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (* (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (/ (fma (/ 1 i) 2 (/ 1 alpha)) i)) in i
* [misc]taylor:  Taking taylor expansion of (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) into (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))))) into 0
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) 2 (/ 1 alpha)) i) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) 2 (/ 1 alpha)) 1) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (- (* +nan.0 (* (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (/ 1 (sqr i))))) in i
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (* (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (/ 1 (sqr i)))) in i
* [misc]taylor:  Taking taylor expansion of +nan.0 in i
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (* (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (/ 1 (sqr i))) in i
* [misc]taylor:  Taking taylor expansion of (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) into (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))))) into 0
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqr i)) in i
* [misc]taylor:  Taking taylor expansion of (sqr i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (* (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) 1) into (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (* +nan.0 (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))) into (* +nan.0 (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))))
* [misc]backup-simplify:  Simplify (- (* +nan.0 (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))))) into (- (* +nan.0 (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))))
* [misc]backup-simplify:  Simplify (+ 0 (- (* +nan.0 (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))))) into (- (* +nan.0 (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))))
* [misc]backup-simplify:  Simplify (- (- (* +nan.0 (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))))) into (- (* +nan.0 (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))))
* [misc]backup-simplify:  Simplify (- (* +nan.0 (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))))) into (- (* +nan.0 (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))))
* [misc]backup-simplify:  Simplify (* (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (/ (fma (/ 1 i) 2 (/ 1 alpha)) i)) into (* (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (/ (fma (/ 1 i) 2 (/ 1 alpha)) i))
* [misc]backup-simplify:  Simplify (* +nan.0 (* (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (/ (fma (/ 1 i) 2 (/ 1 alpha)) i))) into (* +nan.0 (* (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (/ (fma (/ 1 i) 2 (/ 1 alpha)) i)))
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (* 0 i))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) 0) (* 0 (/ 1 i))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (* 0 (* (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (/ 1 i)))) into 0
* [misc]backup-simplify:  Simplify (* (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (/ 1 (sqr i))) into (* (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (/ 1 (sqr i)))
* [misc]backup-simplify:  Simplify (* +nan.0 (* (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (/ 1 (sqr i)))) into (* +nan.0 (* (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (/ 1 (sqr i))))
* [misc]backup-simplify:  Simplify (- (* +nan.0 (* (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (/ 1 (sqr i))))) into (- (* +nan.0 (* (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (/ 1 (sqr i)))))
* [misc]backup-simplify:  Simplify (+ 0 (- (* +nan.0 (* (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (/ 1 (sqr i)))))) into (- (* +nan.0 (* (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (/ 1 (sqr i)))))
* [misc]backup-simplify:  Simplify (- (- (* +nan.0 (* (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (/ 1 (sqr i)))))) into (- (* +nan.0 (* (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (/ 1 (sqr i)))))
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (* (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (/ (fma (/ 1 i) 2 (/ 1 alpha)) i))) (- (* +nan.0 (* (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (/ 1 (sqr i)))))) into (- (+ (* +nan.0 (* (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (/ (fma (/ 1 i) 2 (/ 1 alpha)) i))) (- (* +nan.0 (* (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (/ 1 (sqr i)))))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (* (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (/ (fma (/ 1 i) 2 (/ 1 alpha)) i))) (- (* +nan.0 (* (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (/ 1 (sqr i)))))))) into (- (+ (* +nan.0 (* (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (/ (fma (/ 1 i) 2 (/ 1 alpha)) i))) (- (* +nan.0 (* (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (/ 1 (sqr i)))))))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (* (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (/ (fma (/ 1 i) 2 (/ 1 alpha)) i))) (- (* +nan.0 (* (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (/ 1 (sqr i))))))) in i
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (* (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (/ (fma (/ 1 i) 2 (/ 1 alpha)) i))) (- (* +nan.0 (* (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (/ 1 (sqr i)))))) in i
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (* (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (/ (fma (/ 1 i) 2 (/ 1 alpha)) i))) in i
* [misc]taylor:  Taking taylor expansion of +nan.0 in i
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (* (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (/ (fma (/ 1 i) 2 (/ 1 alpha)) i)) in i
* [misc]taylor:  Taking taylor expansion of (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) into (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))))) into 0
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) 2 (/ 1 alpha)) i) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) 2 (/ 1 alpha)) 1) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (- (* +nan.0 (* (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (/ 1 (sqr i))))) in i
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (* (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (/ 1 (sqr i)))) in i
* [misc]taylor:  Taking taylor expansion of +nan.0 in i
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (* (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (/ 1 (sqr i))) in i
* [misc]taylor:  Taking taylor expansion of (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) into (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))))) into 0
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqr i)) in i
* [misc]taylor:  Taking taylor expansion of (sqr i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (* (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) 1) into (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (* +nan.0 (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))) into (* +nan.0 (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))))
* [misc]backup-simplify:  Simplify (- (* +nan.0 (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))))) into (- (* +nan.0 (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))))
* [misc]backup-simplify:  Simplify (+ 0 (- (* +nan.0 (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))))) into (- (* +nan.0 (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))))
* [misc]backup-simplify:  Simplify (- (- (* +nan.0 (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))))) into (- (* +nan.0 (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))))
* [misc]backup-simplify:  Simplify (- (* +nan.0 (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))))) into (- (* +nan.0 (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) 0) (* 0 (/ 1 i))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (* 0 (* (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (/ 1 i)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) 1) into (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (* +nan.0 (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))) into (* +nan.0 (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))))
* [misc]backup-simplify:  Simplify (- (* +nan.0 (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))))) into (- (* +nan.0 (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))))
* [misc]backup-simplify:  Simplify (- (* +nan.0 (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))))) into (- (* +nan.0 (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))))
* [misc]backup-simplify:  Simplify (+ (* (- (* +nan.0 (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))))) (* (/ 1 (/ 1 i)) (* (/ 1 (/ 1 alpha)) (sqr (/ 1 beta))))) (+ (* (- (* +nan.0 (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))))) (sqr (* (/ 1 (/ 1 i)) (* 1 (/ 1 beta))))) (* (- (* +nan.0 (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))))) (* (/ 1 (sqr (/ 1 i))) (* (/ 1 (/ 1 alpha)) (pow (/ 1 beta) 3)))))) into (- (+ (* +nan.0 (* (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (/ (* alpha (sqr i)) (pow beta 3)))) (- (+ (* +nan.0 (* (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (/ (sqr i) (sqr beta)))) (- (* +nan.0 (* (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (/ (* alpha i) (sqr beta)))))))))
* [misc]approximate:  Taking taylor expansion of (* (sqrt (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))))) (sqrt (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))))) in (beta alpha i) around 0
* [misc]taylor:  Taking taylor expansion of (* (sqrt (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))))) (sqrt (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))))) in i
* [misc]taylor:  Taking taylor expansion of (sqrt (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))))) in i
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) in i
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) in i
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (/ 1 (- alpha))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in i
* [misc]taylor:  Taking taylor expansion of (- beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in i
* [misc]taylor:  Taking taylor expansion of (- alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in i
* [misc]taylor:  Taking taylor expansion of (- i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in i
* [misc]taylor:  Taking taylor expansion of (- beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (+ (/ -1 beta) (fma (/ -1 i) 2 (/ -1 alpha))) into (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))
* [misc]backup-simplify:  Simplify (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) into (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (* (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) into (* -1 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ (* -1 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))) (* 2 (sqrt 0))) into (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))
* [misc]taylor:  Taking taylor expansion of (sqrt (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) in i
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in i
* [misc]taylor:  Taking taylor expansion of (- i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in i
* [misc]taylor:  Taking taylor expansion of (- beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (+ (/ -1 beta) (fma (/ -1 i) 2 (/ -1 alpha))) into (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))
* [misc]backup-simplify:  Simplify (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) into (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* 2 (sqrt 0))) into (/ +nan.0 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))
* [misc]taylor:  Taking taylor expansion of (* (sqrt (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))))) (sqrt (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqrt (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (/ 1 (- alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (- alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in alpha
* [misc]taylor:  Taking taylor expansion of (- i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (+ (/ -1 beta) (fma (/ -1 i) 2 (/ -1 alpha))) into (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))
* [misc]backup-simplify:  Simplify (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) into (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (* (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) into (* -1 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ (* -1 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))) (* 2 (sqrt 0))) into (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))
* [misc]taylor:  Taking taylor expansion of (sqrt (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in alpha
* [misc]taylor:  Taking taylor expansion of (- i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (+ (/ -1 beta) (fma (/ -1 i) 2 (/ -1 alpha))) into (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))
* [misc]backup-simplify:  Simplify (/ (/ -1 i) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) into (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))
* [misc]backup-simplify:  Simplify (sqrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) into (sqrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i)))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 i) (/ 0 (- i))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 beta) (/ 0 (- beta))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (+ (* (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i)) (/ 0 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))))) into 0
* [misc]taylor:  Taking taylor expansion of (* (sqrt (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))))) (sqrt (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))))) in beta
* [misc]taylor:  Taking taylor expansion of (sqrt (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))))) in beta
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (/ 1 (- alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in beta
* [misc]taylor:  Taking taylor expansion of (- i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (/ -1 -1) into 1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (* 1 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) into (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (/ -1 alpha)) into (- (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (- (/ 1 alpha)) (/ -1 i)) into (- (+ (/ 1 i) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (fma (/ -1 i) 2 (/ -1 alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (- (/ (- (+ (/ 1 i) (/ 1 alpha))) -1) (+ (* 1 (/ (fma (/ -1 i) 2 (/ -1 alpha)) -1)))) into (+ (fma (/ -1 i) 2 (/ -1 alpha)) (+ (/ 1 alpha) (/ 1 i)))
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* (+ (fma (/ -1 i) 2 (/ -1 alpha)) (+ (/ 1 alpha) (/ 1 i))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) into (+ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (+ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) alpha)))
* [misc]backup-simplify:  Simplify (/ (+ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (+ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) alpha))) (* 2 (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))) into (* 1/2 (* (+ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i) (+ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) alpha))) (sqrt (/ 1 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))))
* [misc]taylor:  Taking taylor expansion of (sqrt (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in beta
* [misc]taylor:  Taking taylor expansion of (- i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (/ (/ -1 i) -1) into (/ 1 i)
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ (/ 1 i) (* 2 (sqrt 0))) into (/ +nan.0 i)
* [misc]taylor:  Taking taylor expansion of (* (sqrt (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))))) (sqrt (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))))) in beta
* [misc]taylor:  Taking taylor expansion of (sqrt (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))))) in beta
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (/ 1 (- alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in beta
* [misc]taylor:  Taking taylor expansion of (- i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (/ -1 -1) into 1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (* 1 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) into (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (/ -1 alpha)) into (- (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (- (/ 1 alpha)) (/ -1 i)) into (- (+ (/ 1 i) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (fma (/ -1 i) 2 (/ -1 alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (- (/ (- (+ (/ 1 i) (/ 1 alpha))) -1) (+ (* 1 (/ (fma (/ -1 i) 2 (/ -1 alpha)) -1)))) into (+ (fma (/ -1 i) 2 (/ -1 alpha)) (+ (/ 1 alpha) (/ 1 i)))
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* (+ (fma (/ -1 i) 2 (/ -1 alpha)) (+ (/ 1 alpha) (/ 1 i))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) into (+ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (+ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) alpha)))
* [misc]backup-simplify:  Simplify (/ (+ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (+ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) alpha))) (* 2 (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))) into (* 1/2 (* (+ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i) (+ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) alpha))) (sqrt (/ 1 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))))
* [misc]taylor:  Taking taylor expansion of (sqrt (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in beta
* [misc]taylor:  Taking taylor expansion of (- i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (/ (/ -1 i) -1) into (/ 1 i)
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ (/ 1 i) (* 2 (sqrt 0))) into (/ +nan.0 i)
* [misc]backup-simplify:  Simplify (* (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (/ +nan.0 i)) (* (* 1/2 (* (+ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i) (+ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) alpha))) (sqrt (/ 1 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))) 0)) into (- (* +nan.0 (* (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (/ 1 i))))
* [misc]taylor:  Taking taylor expansion of (- (* +nan.0 (* (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (/ 1 i)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (* (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (/ 1 i))) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (* (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (/ 1 i)) in alpha
* [misc]taylor:  Taking taylor expansion of (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) into (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) into 0
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 i) (/ 0 (- i))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (fma (/ -1 i) 2 (/ -1 alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (- (/ 0 -1) (+ (* (/ 1 i) (/ (fma (/ -1 i) 2 (/ -1 alpha)) -1)))) into (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)
* [misc]backup-simplify:  Simplify (/ (- (/ (fma (/ -1 i) 2 (/ -1 alpha)) i) (sqr (/ +nan.0 i)) (+)) (* 2 0)) into (* +nan.0 (- (/ (fma (/ -1 i) 2 (/ -1 alpha)) i) (* +nan.0 (/ 1 (sqr i)))))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 alpha) (/ 0 (- alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 i) (/ 0 (- i))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 -1) (+ (* 1 (/ 0 -1)) (* (+ (fma (/ -1 i) 2 (/ -1 alpha)) (+ (/ 1 alpha) (/ 1 i))) (/ (fma (/ -1 i) 2 (/ -1 alpha)) -1)))) into (+ (/ (fma (/ -1 i) 2 (/ -1 alpha)) i) (+ (/ (fma (/ -1 i) 2 (/ -1 alpha)) alpha) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))))
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* (+ (fma (/ -1 i) 2 (/ -1 alpha)) (+ (/ 1 alpha) (/ 1 i))) 0) (* (+ (/ (fma (/ -1 i) 2 (/ -1 alpha)) i) (+ (/ (fma (/ -1 i) 2 (/ -1 alpha)) alpha) (sqr (fma (/ -1 i) 2 (/ -1 alpha))))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) into (+ (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i) (+ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) alpha)))
* [misc]backup-simplify:  Simplify (/ (- (+ (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i) (+ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) alpha))) (sqr (* 1/2 (* (+ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i) (+ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) alpha))) (sqrt (/ 1 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))))) (+)) (* 2 (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) into (* 1/2 (* (- (+ (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i) (+ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) alpha))) (+ (* 1/2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (+ (* 1/4 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i))) (+ (* 1/2 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* alpha i))) (+ (* 1/4 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr alpha))) (+ (* 1/4 (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (* 1/2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) alpha)))))))) (sqrt (/ 1 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))))
* [misc]backup-simplify:  Simplify (+ (* (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* +nan.0 (- (/ (fma (/ -1 i) 2 (/ -1 alpha)) i) (* +nan.0 (/ 1 (sqr i)))))) (+ (* (* 1/2 (* (+ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i) (+ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) alpha))) (sqrt (/ 1 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))) (/ +nan.0 i)) (* (* 1/2 (* (- (+ (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i) (+ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) alpha))) (+ (* 1/2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (+ (* 1/4 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i))) (+ (* 1/2 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* alpha i))) (+ (* 1/4 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr alpha))) (+ (* 1/4 (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (* 1/2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) alpha)))))))) (sqrt (/ 1 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))))) 0))) into (- (+ (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) i) (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))) (- (+ (* +nan.0 (* (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (/ 1 (sqr i)))) (- (* +nan.0 (* (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (/ 1 (* alpha i)))))))))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) i) (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))) (- (+ (* +nan.0 (* (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (/ 1 (sqr i)))) (- (* +nan.0 (* (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (/ 1 (* alpha i))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) i) (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))) (- (+ (* +nan.0 (* (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (/ 1 (sqr i)))) (- (* +nan.0 (* (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (/ 1 (* alpha i)))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) i) (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) i) (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) 2 (/ -1 alpha)) i) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) 2 (/ -1 alpha)) i) into (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)
* [misc]taylor:  Taking taylor expansion of (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) into (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) into 0
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (* (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (/ 1 (sqr i)))) (- (* +nan.0 (* (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (/ 1 (* alpha i))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (* (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (/ 1 (sqr i)))) (- (* +nan.0 (* (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (/ 1 (* alpha i)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (* (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (/ 1 (sqr i)))) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (* (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (/ 1 (sqr i))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) into (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) into 0
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqr i)) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (/ 1 (sqr i)) into (/ 1 (sqr i))
* [misc]taylor:  Taking taylor expansion of (- (* +nan.0 (* (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (/ 1 (* alpha i))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (* (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (/ 1 (* alpha i)))) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (* (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (/ 1 (* alpha i))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) into (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) into 0
* [misc]taylor:  Taking taylor expansion of (/ 1 (* alpha i)) in alpha
* [misc]taylor:  Taking taylor expansion of (* alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* 0 i) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 i)) into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]backup-simplify:  Simplify (* (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (/ 1 i)) into (* (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (/ 1 i))
* [misc]backup-simplify:  Simplify (* +nan.0 (* (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (/ 1 i))) into (* +nan.0 (* (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (/ 1 i)))
* [misc]backup-simplify:  Simplify (- (* +nan.0 (* (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (/ 1 i)))) into (- (* +nan.0 (* (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (/ 1 i))))
* [misc]backup-simplify:  Simplify (+ 0 (- (* +nan.0 (* (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (/ 1 i))))) into (- (* +nan.0 (* (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (/ 1 i))))
* [misc]backup-simplify:  Simplify (- (- (* +nan.0 (* (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (/ 1 i))))) into (- (* +nan.0 (* (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (/ 1 i))))
* [misc]backup-simplify:  Simplify (+ 0 (- (* +nan.0 (* (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (/ 1 i))))) into (- (* +nan.0 (* (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (/ 1 i))))
* [misc]backup-simplify:  Simplify (- (- (* +nan.0 (* (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (/ 1 i))))) into (- (* +nan.0 (* (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (/ 1 i))))
* [misc]taylor:  Taking taylor expansion of (- (* +nan.0 (* (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (/ 1 i)))) in i
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (* (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (/ 1 i))) in i
* [misc]taylor:  Taking taylor expansion of +nan.0 in i
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (* (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (/ 1 i)) in i
* [misc]taylor:  Taking taylor expansion of (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) into (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))) into 0
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (* (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (/ 1 i)) into (* (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (/ 1 i))
* [misc]backup-simplify:  Simplify (* +nan.0 (* (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (/ 1 i))) into (* +nan.0 (* (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (/ 1 i)))
* [misc]backup-simplify:  Simplify (- (* +nan.0 (* (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (/ 1 i)))) into (- (* +nan.0 (* (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (/ 1 i))))
* [misc]taylor:  Taking taylor expansion of (- (* +nan.0 (* (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (/ 1 i)))) in i
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (* (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (/ 1 i))) in i
* [misc]taylor:  Taking taylor expansion of +nan.0 in i
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (* (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (/ 1 i)) in i
* [misc]taylor:  Taking taylor expansion of (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) into (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))) into 0
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 i) (/ 0 (- i))) (* 0 (/ 0 (- i))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 -1) (+ (* (/ 1 i) (/ 0 -1)) (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) i) (/ (fma (/ -1 i) 2 (/ -1 alpha)) -1)))) into (/ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) i)
* [misc]backup-simplify:  Simplify (/ (- (/ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) i) (+ (* 2 (* (/ +nan.0 i) (* +nan.0 (- (/ (fma (/ -1 i) 2 (/ -1 alpha)) i) (* +nan.0 (/ 1 (sqr i))))))))) (* 2 0)) into (* +nan.0 (- (/ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) i) (+ (* +nan.0 (/ 1 (pow i 3))) (- (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) (sqr i)))))))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 alpha) (/ 0 (- alpha))) (* 0 (/ 0 (- alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 i) (/ 0 (- i))) (* 0 (/ 0 (- i))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 -1) (+ (* 1 (/ 0 -1)) (* (+ (fma (/ -1 i) 2 (/ -1 alpha)) (+ (/ 1 alpha) (/ 1 i))) (/ 0 -1)) (* (+ (/ (fma (/ -1 i) 2 (/ -1 alpha)) i) (+ (/ (fma (/ -1 i) 2 (/ -1 alpha)) alpha) (sqr (fma (/ -1 i) 2 (/ -1 alpha))))) (/ (fma (/ -1 i) 2 (/ -1 alpha)) -1)))) into (+ (/ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) i) (+ (/ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) alpha) (pow (fma (/ -1 i) 2 (/ -1 alpha)) 3)))
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* (+ (fma (/ -1 i) 2 (/ -1 alpha)) (+ (/ 1 alpha) (/ 1 i))) 0) (+ (* (+ (/ (fma (/ -1 i) 2 (/ -1 alpha)) i) (+ (/ (fma (/ -1 i) 2 (/ -1 alpha)) alpha) (sqr (fma (/ -1 i) 2 (/ -1 alpha))))) 0) (* (+ (/ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) i) (+ (/ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) alpha) (pow (fma (/ -1 i) 2 (/ -1 alpha)) 3))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))) into (+ (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) alpha) (+ (* (pow (fma (/ -1 i) 2 (/ -1 alpha)) 3) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)))
* [misc]backup-simplify:  Simplify (/ (- (+ (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) alpha) (+ (* (pow (fma (/ -1 i) 2 (/ -1 alpha)) 3) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i))) (+ (* 2 (* (* 1/2 (* (+ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i) (+ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) alpha))) (sqrt (/ 1 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))) (* 1/2 (* (- (+ (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i) (+ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) alpha))) (+ (* 1/2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (+ (* 1/4 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i))) (+ (* 1/2 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* alpha i))) (+ (* 1/4 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr alpha))) (+ (* 1/4 (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (* 1/2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) alpha)))))))) (sqrt (/ 1 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))))))))) (* 2 (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) into (* 1/2 (* (sqrt (/ 1 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (- (+ (* 1/8 (* (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (/ 1 (pow alpha 3)))) (+ (* 3/8 (* (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (/ 1 (* (sqr alpha) i)))) (+ (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i) (+ (* 3/8 (* (/ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) alpha) (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))))) (+ (* 3/8 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) (sqr alpha)) (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))))) (+ (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) alpha) (+ (* 3/8 (* (/ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) i) (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))))) (+ (* 3/8 (* (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (/ 1 (* alpha (sqr i))))) (+ (* 1/8 (* (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (/ 1 (pow i 3)))) (+ (* 1/8 (* (pow (fma (/ -1 i) 2 (/ -1 alpha)) 3) (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))))) (+ (* 3/4 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) (* alpha i)) (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))))) (+ (* (pow (fma (/ -1 i) 2 (/ -1 alpha)) 3) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* 3/8 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) (sqr i)) (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))))))))))))))))) (+ (* 1/2 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) (sqr i)) (sqrt (/ (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 3) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))) (+ (* (/ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) i) (sqrt (/ (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 3) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) (+ (* (/ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) alpha) (sqrt (/ (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 3) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) (+ (* 1/2 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) (sqr alpha)) (sqrt (/ (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 3) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))) (+ (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) (* alpha i)) (sqrt (/ (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 3) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) (* 1/2 (* (pow (fma (/ -1 i) 2 (/ -1 alpha)) 3) (sqrt (/ (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 3) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))))))))))))
* [misc]backup-simplify:  Simplify (+ (* (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* +nan.0 (- (/ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) i) (+ (* +nan.0 (/ 1 (pow i 3))) (- (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) (sqr i)))))))) (+ (* (* 1/2 (* (+ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i) (+ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) alpha))) (sqrt (/ 1 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))) (* +nan.0 (- (/ (fma (/ -1 i) 2 (/ -1 alpha)) i) (* +nan.0 (/ 1 (sqr i)))))) (+ (* (* 1/2 (* (- (+ (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i) (+ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) alpha))) (+ (* 1/2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (+ (* 1/4 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i))) (+ (* 1/2 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* alpha i))) (+ (* 1/4 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr alpha))) (+ (* 1/4 (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (* 1/2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) alpha)))))))) (sqrt (/ 1 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))))) (/ +nan.0 i)) (* (* 1/2 (* (sqrt (/ 1 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (- (+ (* 1/8 (* (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (/ 1 (pow alpha 3)))) (+ (* 3/8 (* (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (/ 1 (* (sqr alpha) i)))) (+ (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i) (+ (* 3/8 (* (/ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) alpha) (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))))) (+ (* 3/8 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) (sqr alpha)) (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))))) (+ (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) alpha) (+ (* 3/8 (* (/ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) i) (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))))) (+ (* 3/8 (* (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (/ 1 (* alpha (sqr i))))) (+ (* 1/8 (* (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (/ 1 (pow i 3)))) (+ (* 1/8 (* (pow (fma (/ -1 i) 2 (/ -1 alpha)) 3) (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))))) (+ (* 3/4 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) (* alpha i)) (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))))) (+ (* (pow (fma (/ -1 i) 2 (/ -1 alpha)) 3) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* 3/8 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) (sqr i)) (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))))))))))))))))) (+ (* 1/2 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) (sqr i)) (sqrt (/ (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 3) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))) (+ (* (/ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) i) (sqrt (/ (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 3) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) (+ (* (/ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) alpha) (sqrt (/ (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 3) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) (+ (* 1/2 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) (sqr alpha)) (sqrt (/ (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 3) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))) (+ (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) (* alpha i)) (sqrt (/ (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 3) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) (* 1/2 (* (pow (fma (/ -1 i) 2 (/ -1 alpha)) 3) (sqrt (/ (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 3) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))))))))))) 0)))) into (- (+ (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) (sqr i)) (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) (- (+ (* +nan.0 (* (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (/ 1 (* (sqr alpha) i)))) (- (+ (* +nan.0 (* (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (/ 1 (pow i 3)))) (- (+ (* +nan.0 (* (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i) (sqrt (/ 1 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))) (- (+ (* +nan.0 (* (/ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) i) (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) (- (+ (* +nan.0 (* (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (/ 1 (* alpha (sqr i))))) (- (+ (* +nan.0 (* (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* alpha i)) (sqrt (/ 1 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))) (- (+ (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) (* alpha i)) (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))) (- (+ (* +nan.0 (* (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (/ 1 (* alpha (sqr i))))) (- (+ (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) (* alpha i)) (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) (- (+ (* +nan.0 (* (/ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) i) (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))) (- (+ (* +nan.0 (* (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (/ 1 (pow i 3)))) (- (+ (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) (sqr i)) (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))) (- (* +nan.0 (* (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i)) (sqrt (/ 1 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))))))))))))))))))))))))))))))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) (sqr i)) (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) (- (+ (* +nan.0 (* (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (/ 1 (* (sqr alpha) i)))) (- (+ (* +nan.0 (* (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (/ 1 (pow i 3)))) (- (+ (* +nan.0 (* (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i) (sqrt (/ 1 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))) (- (+ (* +nan.0 (* (/ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) i) (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) (- (+ (* +nan.0 (* (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (/ 1 (* alpha (sqr i))))) (- (+ (* +nan.0 (* (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* alpha i)) (sqrt (/ 1 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))) (- (+ (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) (* alpha i)) (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))) (- (+ (* +nan.0 (* (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (/ 1 (* alpha (sqr i))))) (- (+ (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) (* alpha i)) (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) (- (+ (* +nan.0 (* (/ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) i) (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))) (- (+ (* +nan.0 (* (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (/ 1 (pow i 3)))) (- (+ (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) (sqr i)) (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))) (- (* +nan.0 (* (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i)) (sqrt (/ 1 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))))))))))))))))))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) (sqr i)) (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) (- (+ (* +nan.0 (* (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (/ 1 (* (sqr alpha) i)))) (- (+ (* +nan.0 (* (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (/ 1 (pow i 3)))) (- (+ (* +nan.0 (* (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i) (sqrt (/ 1 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))) (- (+ (* +nan.0 (* (/ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) i) (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) (- (+ (* +nan.0 (* (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (/ 1 (* alpha (sqr i))))) (- (+ (* +nan.0 (* (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* alpha i)) (sqrt (/ 1 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))) (- (+ (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) (* alpha i)) (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))) (- (+ (* +nan.0 (* (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (/ 1 (* alpha (sqr i))))) (- (+ (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) (* alpha i)) (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) (- (+ (* +nan.0 (* (/ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) i) (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))) (- (+ (* +nan.0 (* (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (/ 1 (pow i 3)))) (- (+ (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) (sqr i)) (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))) (- (* +nan.0 (* (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i)) (sqrt (/ 1 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))))))))))))))))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) (sqr i)) (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) (sqr i)) (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) 2 (/ -1 alpha)) (sqr i)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (sqr i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) 2 (/ -1 alpha)) (sqr i)) into (/ (fma (/ -1 i) 2 (/ -1 alpha)) (sqr i))
* [misc]taylor:  Taking taylor expansion of (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) into (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))) into 0
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (* (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (/ 1 (* (sqr alpha) i)))) (- (+ (* +nan.0 (* (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (/ 1 (pow i 3)))) (- (+ (* +nan.0 (* (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i) (sqrt (/ 1 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))) (- (+ (* +nan.0 (* (/ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) i) (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) (- (+ (* +nan.0 (* (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (/ 1 (* alpha (sqr i))))) (- (+ (* +nan.0 (* (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* alpha i)) (sqrt (/ 1 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))) (- (+ (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) (* alpha i)) (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))) (- (+ (* +nan.0 (* (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (/ 1 (* alpha (sqr i))))) (- (+ (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) (* alpha i)) (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) (- (+ (* +nan.0 (* (/ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) i) (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))) (- (+ (* +nan.0 (* (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (/ 1 (pow i 3)))) (- (+ (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) (sqr i)) (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))) (- (* +nan.0 (* (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i)) (sqrt (/ 1 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))))))))))))))))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (* (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (/ 1 (* (sqr alpha) i)))) (- (+ (* +nan.0 (* (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (/ 1 (pow i 3)))) (- (+ (* +nan.0 (* (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i) (sqrt (/ 1 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))) (- (+ (* +nan.0 (* (/ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) i) (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) (- (+ (* +nan.0 (* (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (/ 1 (* alpha (sqr i))))) (- (+ (* +nan.0 (* (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* alpha i)) (sqrt (/ 1 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))) (- (+ (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) (* alpha i)) (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))) (- (+ (* +nan.0 (* (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (/ 1 (* alpha (sqr i))))) (- (+ (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) (* alpha i)) (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) (- (+ (* +nan.0 (* (/ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) i) (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))) (- (+ (* +nan.0 (* (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (/ 1 (pow i 3)))) (- (+ (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) (sqr i)) (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))) (- (* +nan.0 (* (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i)) (sqrt (/ 1 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))))))))))))))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (* (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (/ 1 (* (sqr alpha) i)))) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (* (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (/ 1 (* (sqr alpha) i))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) into (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))) into 0
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (sqr alpha) i)) in alpha
* [misc]taylor:  Taking taylor expansion of (* (sqr alpha) i) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* 0 i) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 0 i)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 0 0) (* 1 i))) into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (* (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (/ 1 (pow i 3)))) (- (+ (* +nan.0 (* (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i) (sqrt (/ 1 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))) (- (+ (* +nan.0 (* (/ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) i) (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) (- (+ (* +nan.0 (* (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (/ 1 (* alpha (sqr i))))) (- (+ (* +nan.0 (* (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* alpha i)) (sqrt (/ 1 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))) (- (+ (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) (* alpha i)) (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))) (- (+ (* +nan.0 (* (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (/ 1 (* alpha (sqr i))))) (- (+ (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) (* alpha i)) (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) (- (+ (* +nan.0 (* (/ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) i) (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))) (- (+ (* +nan.0 (* (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (/ 1 (pow i 3)))) (- (+ (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) (sqr i)) (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))) (- (* +nan.0 (* (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i)) (sqrt (/ 1 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))))))))))))))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (* (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (/ 1 (pow i 3)))) (- (+ (* +nan.0 (* (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i) (sqrt (/ 1 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))) (- (+ (* +nan.0 (* (/ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) i) (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) (- (+ (* +nan.0 (* (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (/ 1 (* alpha (sqr i))))) (- (+ (* +nan.0 (* (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* alpha i)) (sqrt (/ 1 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))) (- (+ (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) (* alpha i)) (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))) (- (+ (* +nan.0 (* (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (/ 1 (* alpha (sqr i))))) (- (+ (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) (* alpha i)) (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) (- (+ (* +nan.0 (* (/ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) i) (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))) (- (+ (* +nan.0 (* (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (/ 1 (pow i 3)))) (- (+ (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) (sqr i)) (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))) (- (* +nan.0 (* (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i)) (sqrt (/ 1 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))))))))))))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (* (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (/ 1 (pow i 3)))) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (* (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (/ 1 (pow i 3))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) into (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) into 0
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow i 3)) in alpha
* [misc]taylor:  Taking taylor expansion of (pow i 3) in alpha
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log i))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 3 (log i)) in alpha
* [misc]taylor:  Taking taylor expansion of 3 in alpha
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (log i) into (log i)
* [misc]backup-simplify:  Simplify (* 3 (log i)) into (* 3 (log i))
* [misc]backup-simplify:  Simplify (exp (* 3 (log i))) into (pow i 3)
* [misc]backup-simplify:  Simplify (/ 1 (pow i 3)) into (/ 1 (pow i 3))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (* (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i) (sqrt (/ 1 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))) (- (+ (* +nan.0 (* (/ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) i) (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) (- (+ (* +nan.0 (* (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (/ 1 (* alpha (sqr i))))) (- (+ (* +nan.0 (* (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* alpha i)) (sqrt (/ 1 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))) (- (+ (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) (* alpha i)) (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))) (- (+ (* +nan.0 (* (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (/ 1 (* alpha (sqr i))))) (- (+ (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) (* alpha i)) (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) (- (+ (* +nan.0 (* (/ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) i) (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))) (- (+ (* +nan.0 (* (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (/ 1 (pow i 3)))) (- (+ (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) (sqr i)) (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))) (- (* +nan.0 (* (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i)) (sqrt (/ 1 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))))))))))))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (* (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i) (sqrt (/ 1 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))) (- (+ (* +nan.0 (* (/ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) i) (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) (- (+ (* +nan.0 (* (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (/ 1 (* alpha (sqr i))))) (- (+ (* +nan.0 (* (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* alpha i)) (sqrt (/ 1 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))) (- (+ (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) (* alpha i)) (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))) (- (+ (* +nan.0 (* (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (/ 1 (* alpha (sqr i))))) (- (+ (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) (* alpha i)) (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) (- (+ (* +nan.0 (* (/ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) i) (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))) (- (+ (* +nan.0 (* (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (/ 1 (pow i 3)))) (- (+ (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) (sqr i)) (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))) (- (* +nan.0 (* (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i)) (sqrt (/ 1 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))))))))))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (* (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i) (sqrt (/ 1 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (* (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i) (sqrt (/ 1 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i) in alpha
* [misc]taylor:  Taking taylor expansion of (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ -1 i) 2 (/ -1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) 2 (/ -1 alpha))) into (sqr (fma (/ -1 i) 2 (/ -1 alpha)))
* [misc]backup-simplify:  Simplify (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) into (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i) into (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (/ 1 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) into (/ 1 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (sqrt (/ 1 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) into (sqrt (/ 1 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (/ 0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (/ 1 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))) into 0
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (* (/ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) i) (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) (- (+ (* +nan.0 (* (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (/ 1 (* alpha (sqr i))))) (- (+ (* +nan.0 (* (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* alpha i)) (sqrt (/ 1 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))) (- (+ (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) (* alpha i)) (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))) (- (+ (* +nan.0 (* (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (/ 1 (* alpha (sqr i))))) (- (+ (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) (* alpha i)) (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) (- (+ (* +nan.0 (* (/ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) i) (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))) (- (+ (* +nan.0 (* (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (/ 1 (pow i 3)))) (- (+ (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) (sqr i)) (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))) (- (* +nan.0 (* (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i)) (sqrt (/ 1 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))))))))))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (* (/ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) i) (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) (- (+ (* +nan.0 (* (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (/ 1 (* alpha (sqr i))))) (- (+ (* +nan.0 (* (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* alpha i)) (sqrt (/ 1 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))) (- (+ (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) (* alpha i)) (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))) (- (+ (* +nan.0 (* (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (/ 1 (* alpha (sqr i))))) (- (+ (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) (* alpha i)) (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) (- (+ (* +nan.0 (* (/ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) i) (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))) (- (+ (* +nan.0 (* (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (/ 1 (pow i 3)))) (- (+ (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) (sqr i)) (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))) (- (* +nan.0 (* (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i)) (sqrt (/ 1 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))))))))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (* (/ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) i) (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (* (/ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) i) (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) i) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ -1 i) 2 (/ -1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) 2 (/ -1 alpha))) into (sqr (fma (/ -1 i) 2 (/ -1 alpha)))
* [misc]backup-simplify:  Simplify (/ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) i) into (/ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) i)
* [misc]taylor:  Taking taylor expansion of (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) into (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))) into 0
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (* (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (/ 1 (* alpha (sqr i))))) (- (+ (* +nan.0 (* (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* alpha i)) (sqrt (/ 1 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))) (- (+ (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) (* alpha i)) (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))) (- (+ (* +nan.0 (* (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (/ 1 (* alpha (sqr i))))) (- (+ (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) (* alpha i)) (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) (- (+ (* +nan.0 (* (/ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) i) (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))) (- (+ (* +nan.0 (* (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (/ 1 (pow i 3)))) (- (+ (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) (sqr i)) (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))) (- (* +nan.0 (* (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i)) (sqrt (/ 1 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))))))))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (* (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (/ 1 (* alpha (sqr i))))) (- (+ (* +nan.0 (* (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* alpha i)) (sqrt (/ 1 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))) (- (+ (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) (* alpha i)) (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))) (- (+ (* +nan.0 (* (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (/ 1 (* alpha (sqr i))))) (- (+ (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) (* alpha i)) (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) (- (+ (* +nan.0 (* (/ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) i) (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))) (- (+ (* +nan.0 (* (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (/ 1 (pow i 3)))) (- (+ (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) (sqr i)) (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))) (- (* +nan.0 (* (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i)) (sqrt (/ 1 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))))))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (* (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (/ 1 (* alpha (sqr i))))) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (* (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (/ 1 (* alpha (sqr i)))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) into (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) into 0
* [misc]taylor:  Taking taylor expansion of (/ 1 (* alpha (sqr i))) in alpha
* [misc]taylor:  Taking taylor expansion of (* alpha (sqr i)) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (sqr i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (* 0 (sqr i)) into 0
* [misc]backup-simplify:  Simplify (+ (* i 0) (* 0 i)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 (sqr i))) into (sqr i)
* [misc]backup-simplify:  Simplify (/ 1 (sqr i)) into (/ 1 (sqr i))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (* (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* alpha i)) (sqrt (/ 1 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))) (- (+ (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) (* alpha i)) (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))) (- (+ (* +nan.0 (* (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (/ 1 (* alpha (sqr i))))) (- (+ (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) (* alpha i)) (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) (- (+ (* +nan.0 (* (/ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) i) (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))) (- (+ (* +nan.0 (* (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (/ 1 (pow i 3)))) (- (+ (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) (sqr i)) (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))) (- (* +nan.0 (* (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i)) (sqrt (/ 1 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))))))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (* (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* alpha i)) (sqrt (/ 1 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))) (- (+ (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) (* alpha i)) (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))) (- (+ (* +nan.0 (* (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (/ 1 (* alpha (sqr i))))) (- (+ (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) (* alpha i)) (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) (- (+ (* +nan.0 (* (/ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) i) (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))) (- (+ (* +nan.0 (* (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (/ 1 (pow i 3)))) (- (+ (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) (sqr i)) (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))) (- (* +nan.0 (* (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i)) (sqrt (/ 1 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (* (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* alpha i)) (sqrt (/ 1 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (* (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* alpha i)) (sqrt (/ 1 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* alpha i)) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (* alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (* 0 i) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 i)) into i
* [misc]backup-simplify:  Simplify (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i) into (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (/ 1 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) into (/ 1 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (sqrt (/ 1 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) into (sqrt (/ 1 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (/ 0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (/ 1 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))) into 0
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) (* alpha i)) (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))) (- (+ (* +nan.0 (* (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (/ 1 (* alpha (sqr i))))) (- (+ (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) (* alpha i)) (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) (- (+ (* +nan.0 (* (/ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) i) (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))) (- (+ (* +nan.0 (* (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (/ 1 (pow i 3)))) (- (+ (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) (sqr i)) (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))) (- (* +nan.0 (* (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i)) (sqrt (/ 1 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) (* alpha i)) (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))) (- (+ (* +nan.0 (* (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (/ 1 (* alpha (sqr i))))) (- (+ (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) (* alpha i)) (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) (- (+ (* +nan.0 (* (/ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) i) (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))) (- (+ (* +nan.0 (* (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (/ 1 (pow i 3)))) (- (+ (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) (sqr i)) (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))) (- (* +nan.0 (* (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i)) (sqrt (/ 1 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) (* alpha i)) (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) (* alpha i)) (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) 2 (/ -1 alpha)) (* alpha i)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (* alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* 0 i) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 i)) into i
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) 2 (/ -1 alpha)) i) into (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)
* [misc]taylor:  Taking taylor expansion of (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) into (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) into 0
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (* (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (/ 1 (* alpha (sqr i))))) (- (+ (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) (* alpha i)) (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) (- (+ (* +nan.0 (* (/ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) i) (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))) (- (+ (* +nan.0 (* (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (/ 1 (pow i 3)))) (- (+ (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) (sqr i)) (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))) (- (* +nan.0 (* (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i)) (sqrt (/ 1 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (* (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (/ 1 (* alpha (sqr i))))) (- (+ (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) (* alpha i)) (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) (- (+ (* +nan.0 (* (/ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) i) (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))) (- (+ (* +nan.0 (* (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (/ 1 (pow i 3)))) (- (+ (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) (sqr i)) (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))) (- (* +nan.0 (* (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i)) (sqrt (/ 1 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (* (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (/ 1 (* alpha (sqr i))))) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (* (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (/ 1 (* alpha (sqr i)))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) into (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))) into 0
* [misc]taylor:  Taking taylor expansion of (/ 1 (* alpha (sqr i))) in alpha
* [misc]taylor:  Taking taylor expansion of (* alpha (sqr i)) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (sqr i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (* 0 (sqr i)) into 0
* [misc]backup-simplify:  Simplify (+ (* i 0) (* 0 i)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 (sqr i))) into (sqr i)
* [misc]backup-simplify:  Simplify (/ 1 (sqr i)) into (/ 1 (sqr i))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) (* alpha i)) (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) (- (+ (* +nan.0 (* (/ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) i) (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))) (- (+ (* +nan.0 (* (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (/ 1 (pow i 3)))) (- (+ (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) (sqr i)) (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))) (- (* +nan.0 (* (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i)) (sqrt (/ 1 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) (* alpha i)) (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) (- (+ (* +nan.0 (* (/ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) i) (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))) (- (+ (* +nan.0 (* (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (/ 1 (pow i 3)))) (- (+ (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) (sqr i)) (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))) (- (* +nan.0 (* (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i)) (sqrt (/ 1 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) (* alpha i)) (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) (* alpha i)) (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) 2 (/ -1 alpha)) (* alpha i)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (* alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* 0 i) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 i)) into i
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) 2 (/ -1 alpha)) i) into (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)
* [misc]taylor:  Taking taylor expansion of (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) into (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))) into 0
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (* (/ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) i) (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))) (- (+ (* +nan.0 (* (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (/ 1 (pow i 3)))) (- (+ (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) (sqr i)) (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))) (- (* +nan.0 (* (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i)) (sqrt (/ 1 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (* (/ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) i) (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))) (- (+ (* +nan.0 (* (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (/ 1 (pow i 3)))) (- (+ (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) (sqr i)) (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))) (- (* +nan.0 (* (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i)) (sqrt (/ 1 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (* (/ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) i) (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (* (/ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) i) (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) i) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ -1 i) 2 (/ -1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) 2 (/ -1 alpha))) into (sqr (fma (/ -1 i) 2 (/ -1 alpha)))
* [misc]backup-simplify:  Simplify (/ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) i) into (/ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) i)
* [misc]taylor:  Taking taylor expansion of (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) into (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) into 0
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (* (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (/ 1 (pow i 3)))) (- (+ (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) (sqr i)) (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))) (- (* +nan.0 (* (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i)) (sqrt (/ 1 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (* (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (/ 1 (pow i 3)))) (- (+ (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) (sqr i)) (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))) (- (* +nan.0 (* (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i)) (sqrt (/ 1 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (* (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (/ 1 (pow i 3)))) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (* (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (/ 1 (pow i 3))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) into (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))) into 0
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow i 3)) in alpha
* [misc]taylor:  Taking taylor expansion of (pow i 3) in alpha
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log i))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 3 (log i)) in alpha
* [misc]taylor:  Taking taylor expansion of 3 in alpha
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (log i) into (log i)
* [misc]backup-simplify:  Simplify (* 3 (log i)) into (* 3 (log i))
* [misc]backup-simplify:  Simplify (exp (* 3 (log i))) into (pow i 3)
* [misc]backup-simplify:  Simplify (/ 1 (pow i 3)) into (/ 1 (pow i 3))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) (sqr i)) (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))) (- (* +nan.0 (* (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i)) (sqrt (/ 1 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) (sqr i)) (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))) (- (* +nan.0 (* (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i)) (sqrt (/ 1 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) (sqr i)) (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) (sqr i)) (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) 2 (/ -1 alpha)) (sqr i)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (sqr i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) 2 (/ -1 alpha)) (sqr i)) into (/ (fma (/ -1 i) 2 (/ -1 alpha)) (sqr i))
* [misc]taylor:  Taking taylor expansion of (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) into (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) into 0
* [misc]taylor:  Taking taylor expansion of (- (* +nan.0 (* (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i)) (sqrt (/ 1 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (* (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i)) (sqrt (/ 1 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (* (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i)) (sqrt (/ 1 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i)) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (sqr i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i)) into (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (/ 1 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) into (/ 1 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (sqrt (/ 1 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) into (sqrt (/ 1 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (/ 0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (/ 1 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 0 0) (+ (* 1 0) (* 0 i)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) 0) (* 0 (/ 1 i))) into 0
* [misc]backup-simplify:  Simplify (* (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (/ 1 i)) into (* (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (/ 1 i))
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (* 0 (* (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (/ 1 i)))) into 0
* [misc]backup-simplify:  Simplify (* (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (/ 1 (sqr i))) into (* (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (/ 1 (sqr i)))
* [misc]backup-simplify:  Simplify (* +nan.0 (* (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (/ 1 (sqr i)))) into (* +nan.0 (* (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (/ 1 (sqr i))))
* [misc]backup-simplify:  Simplify (* (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i) (sqrt (/ 1 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))) into (* (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i) (sqrt (/ 1 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))
* [misc]backup-simplify:  Simplify (* +nan.0 (* (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i) (sqrt (/ 1 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))) into (* +nan.0 (* (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i) (sqrt (/ 1 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))))
* [misc]backup-simplify:  Simplify (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) i) (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) into (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) i) (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))
* [misc]backup-simplify:  Simplify (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) i) (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) into (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) i) (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))))
* [misc]backup-simplify:  Simplify (* (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (/ 1 (sqr i))) into (* (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (/ 1 (sqr i)))
* [misc]backup-simplify:  Simplify (* +nan.0 (* (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (/ 1 (sqr i)))) into (* +nan.0 (* (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (/ 1 (sqr i))))
* [misc]backup-simplify:  Simplify (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) i) (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) into (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) i) (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))
* [misc]backup-simplify:  Simplify (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) i) (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))) into (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) i) (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) i) (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) 0) into (- (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) i) (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))))
* [misc]backup-simplify:  Simplify (- (- (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) i) (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))))) into (- (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) i) (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))))
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (* (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (/ 1 (sqr i)))) (- (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) i) (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))))) into (- (+ (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) i) (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))) (- (* +nan.0 (* (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (/ 1 (sqr i)))))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) i) (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))) (- (* +nan.0 (* (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (/ 1 (sqr i)))))))) into (- (+ (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) i) (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) (- (* +nan.0 (* (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (/ 1 (sqr i)))))))
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) i) (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))) (- (+ (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) i) (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) (- (* +nan.0 (* (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (/ 1 (sqr i)))))))) into (- (+ (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) i) (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))) (- (+ (* +nan.0 (* (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (/ 1 (sqr i)))) (- (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) i) (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))))))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) i) (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))) (- (+ (* +nan.0 (* (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (/ 1 (sqr i)))) (- (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) i) (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))))))))) into (- (+ (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) i) (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))) (- (+ (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) i) (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) (- (* +nan.0 (* (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (/ 1 (sqr i)))))))))
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (* (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i) (sqrt (/ 1 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))))) (- (+ (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) i) (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))) (- (+ (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) i) (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) (- (* +nan.0 (* (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (/ 1 (sqr i)))))))))) into (- (+ (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) i) (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))) (- (+ (* +nan.0 (* (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (/ 1 (sqr i)))) (- (+ (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) i) (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) (- (* +nan.0 (* (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i) (sqrt (/ 1 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))))))))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) i) (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))) (- (+ (* +nan.0 (* (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (/ 1 (sqr i)))) (- (+ (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) i) (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) (- (* +nan.0 (* (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i) (sqrt (/ 1 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))))))))))) into (- (+ (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) i) (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))) (- (+ (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) i) (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) (- (+ (* +nan.0 (* (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (/ 1 (sqr i)))) (- (* +nan.0 (* (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i) (sqrt (/ 1 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))))))))))))
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (* (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (/ 1 (sqr i)))) (- (+ (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) i) (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))) (- (+ (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) i) (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) (- (+ (* +nan.0 (* (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (/ 1 (sqr i)))) (- (* +nan.0 (* (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i) (sqrt (/ 1 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))))))))))))) into (- (+ (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) i) (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))) (- (+ (* +nan.0 (* (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (/ 1 (sqr i)))) (- (+ (* +nan.0 (* (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (/ 1 (sqr i)))) (- (+ (* +nan.0 (* (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i) (sqrt (/ 1 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))) (- (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) i) (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))))))))))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) i) (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))) (- (+ (* +nan.0 (* (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (/ 1 (sqr i)))) (- (+ (* +nan.0 (* (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (/ 1 (sqr i)))) (- (+ (* +nan.0 (* (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i) (sqrt (/ 1 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))) (- (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) i) (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))))))))))))) into (- (+ (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) i) (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))) (- (+ (* +nan.0 (* (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (/ 1 (sqr i)))) (- (+ (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) i) (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) (- (+ (* +nan.0 (* (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (/ 1 (sqr i)))) (- (* +nan.0 (* (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i) (sqrt (/ 1 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))))))))))))))
* [misc]backup-simplify:  Simplify (+ 0 (- (+ (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) i) (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))) (- (+ (* +nan.0 (* (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (/ 1 (sqr i)))) (- (+ (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) i) (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) (- (+ (* +nan.0 (* (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (/ 1 (sqr i)))) (- (* +nan.0 (* (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i) (sqrt (/ 1 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))))))))))))))) into (- (+ (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) i) (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))) (- (+ (* +nan.0 (* (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (/ 1 (sqr i)))) (- (+ (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) i) (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) (- (+ (* +nan.0 (* (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (/ 1 (sqr i)))) (- (* +nan.0 (* (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i) (sqrt (/ 1 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))))))))))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) i) (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))) (- (+ (* +nan.0 (* (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (/ 1 (sqr i)))) (- (+ (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) i) (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) (- (+ (* +nan.0 (* (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (/ 1 (sqr i)))) (- (* +nan.0 (* (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i) (sqrt (/ 1 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))))))))))))) into (- (+ (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) i) (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))) (- (+ (* +nan.0 (* (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (/ 1 (sqr i)))) (- (+ (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) i) (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) (- (+ (* +nan.0 (* (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (/ 1 (sqr i)))) (- (* +nan.0 (* (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i) (sqrt (/ 1 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))))))))))))))
* [misc]backup-simplify:  Simplify (+ 0 (- (+ (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) i) (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))) (- (+ (* +nan.0 (* (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (/ 1 (sqr i)))) (- (+ (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) i) (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) (- (+ (* +nan.0 (* (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (/ 1 (sqr i)))) (- (* +nan.0 (* (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i) (sqrt (/ 1 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))))))))))))))) into (- (+ (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) i) (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))) (- (+ (* +nan.0 (* (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (/ 1 (sqr i)))) (- (+ (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) i) (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) (- (+ (* +nan.0 (* (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (/ 1 (sqr i)))) (- (* +nan.0 (* (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i) (sqrt (/ 1 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))))))))))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) i) (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))) (- (+ (* +nan.0 (* (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (/ 1 (sqr i)))) (- (+ (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) i) (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) (- (+ (* +nan.0 (* (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (/ 1 (sqr i)))) (- (* +nan.0 (* (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i) (sqrt (/ 1 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))))))))))))) into (- (+ (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) i) (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))) (- (+ (* +nan.0 (* (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (/ 1 (sqr i)))) (- (+ (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) i) (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) (- (+ (* +nan.0 (* (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (/ 1 (sqr i)))) (- (* +nan.0 (* (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i) (sqrt (/ 1 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))))))))))))))
* [misc]backup-simplify:  Simplify (+ 0 (- (+ (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) i) (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))) (- (+ (* +nan.0 (* (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (/ 1 (sqr i)))) (- (+ (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) i) (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) (- (+ (* +nan.0 (* (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (/ 1 (sqr i)))) (- (* +nan.0 (* (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i) (sqrt (/ 1 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))))))))))))))) into (- (+ (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) i) (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))) (- (+ (* +nan.0 (* (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (/ 1 (sqr i)))) (- (+ (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) i) (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) (- (+ (* +nan.0 (* (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (/ 1 (sqr i)))) (- (* +nan.0 (* (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i) (sqrt (/ 1 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))))))))))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) i) (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))) (- (+ (* +nan.0 (* (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (/ 1 (sqr i)))) (- (+ (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) i) (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) (- (+ (* +nan.0 (* (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (/ 1 (sqr i)))) (- (* +nan.0 (* (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i) (sqrt (/ 1 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))))))))))))) into (- (+ (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) i) (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))) (- (+ (* +nan.0 (* (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (/ 1 (sqr i)))) (- (+ (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) i) (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) (- (+ (* +nan.0 (* (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (/ 1 (sqr i)))) (- (* +nan.0 (* (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i) (sqrt (/ 1 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))))))))))))))
* [misc]backup-simplify:  Simplify (+ 0 (- (+ (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) i) (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))) (- (+ (* +nan.0 (* (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (/ 1 (sqr i)))) (- (+ (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) i) (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) (- (+ (* +nan.0 (* (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (/ 1 (sqr i)))) (- (* +nan.0 (* (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i) (sqrt (/ 1 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))))))))))))))) into (- (+ (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) i) (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))) (- (+ (* +nan.0 (* (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (/ 1 (sqr i)))) (- (+ (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) i) (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) (- (+ (* +nan.0 (* (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (/ 1 (sqr i)))) (- (* +nan.0 (* (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i) (sqrt (/ 1 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))))))))))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) i) (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))) (- (+ (* +nan.0 (* (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (/ 1 (sqr i)))) (- (+ (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) i) (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) (- (+ (* +nan.0 (* (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (/ 1 (sqr i)))) (- (* +nan.0 (* (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i) (sqrt (/ 1 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))))))))))))) into (- (+ (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) i) (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))) (- (+ (* +nan.0 (* (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (/ 1 (sqr i)))) (- (+ (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) i) (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) (- (+ (* +nan.0 (* (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (/ 1 (sqr i)))) (- (* +nan.0 (* (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i) (sqrt (/ 1 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))))))))))))))
* [misc]backup-simplify:  Simplify (+ 0 (- (+ (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) i) (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))) (- (+ (* +nan.0 (* (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (/ 1 (sqr i)))) (- (+ (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) i) (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) (- (+ (* +nan.0 (* (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (/ 1 (sqr i)))) (- (* +nan.0 (* (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i) (sqrt (/ 1 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))))))))))))))) into (- (+ (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) i) (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))) (- (+ (* +nan.0 (* (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (/ 1 (sqr i)))) (- (+ (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) i) (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) (- (+ (* +nan.0 (* (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (/ 1 (sqr i)))) (- (* +nan.0 (* (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i) (sqrt (/ 1 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))))))))))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) i) (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))) (- (+ (* +nan.0 (* (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (/ 1 (sqr i)))) (- (+ (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) i) (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) (- (+ (* +nan.0 (* (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (/ 1 (sqr i)))) (- (* +nan.0 (* (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i) (sqrt (/ 1 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))))))))))))) into (- (+ (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) i) (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))) (- (+ (* +nan.0 (* (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (/ 1 (sqr i)))) (- (+ (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) i) (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) (- (+ (* +nan.0 (* (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (/ 1 (sqr i)))) (- (* +nan.0 (* (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i) (sqrt (/ 1 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))))))))))))))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) i) (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))) (- (+ (* +nan.0 (* (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (/ 1 (sqr i)))) (- (+ (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) i) (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) (- (+ (* +nan.0 (* (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (/ 1 (sqr i)))) (- (* +nan.0 (* (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i) (sqrt (/ 1 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) i) (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))) (- (+ (* +nan.0 (* (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (/ 1 (sqr i)))) (- (+ (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) i) (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) (- (+ (* +nan.0 (* (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (/ 1 (sqr i)))) (- (* +nan.0 (* (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i) (sqrt (/ 1 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) i) (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))) in i
* [misc]taylor:  Taking taylor expansion of +nan.0 in i
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) i) (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) 2 (/ -1 alpha)) i) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) 2 (/ -1 alpha)) 1) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) into (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) into 0
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (* (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (/ 1 (sqr i)))) (- (+ (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) i) (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) (- (+ (* +nan.0 (* (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (/ 1 (sqr i)))) (- (* +nan.0 (* (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i) (sqrt (/ 1 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (* (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (/ 1 (sqr i)))) (- (+ (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) i) (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) (- (+ (* +nan.0 (* (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (/ 1 (sqr i)))) (- (* +nan.0 (* (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i) (sqrt (/ 1 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (* (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (/ 1 (sqr i)))) in i
* [misc]taylor:  Taking taylor expansion of +nan.0 in i
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (* (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (/ 1 (sqr i))) in i
* [misc]taylor:  Taking taylor expansion of (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) into (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) into 0
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqr i)) in i
* [misc]taylor:  Taking taylor expansion of (sqr i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) i) (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) (- (+ (* +nan.0 (* (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (/ 1 (sqr i)))) (- (* +nan.0 (* (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i) (sqrt (/ 1 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) i) (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) (- (+ (* +nan.0 (* (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (/ 1 (sqr i)))) (- (* +nan.0 (* (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i) (sqrt (/ 1 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) i) (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) in i
* [misc]taylor:  Taking taylor expansion of +nan.0 in i
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) i) (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) 2 (/ -1 alpha)) i) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) 2 (/ -1 alpha)) 1) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) into (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))) into 0
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (* (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (/ 1 (sqr i)))) (- (* +nan.0 (* (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i) (sqrt (/ 1 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))))))) in i
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (* (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (/ 1 (sqr i)))) (- (* +nan.0 (* (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i) (sqrt (/ 1 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (* (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (/ 1 (sqr i)))) in i
* [misc]taylor:  Taking taylor expansion of +nan.0 in i
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (* (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (/ 1 (sqr i))) in i
* [misc]taylor:  Taking taylor expansion of (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) into (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))) into 0
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqr i)) in i
* [misc]taylor:  Taking taylor expansion of (sqr i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (- (* +nan.0 (* (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i) (sqrt (/ 1 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))))) in i
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (* (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i) (sqrt (/ 1 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))))) in i
* [misc]taylor:  Taking taylor expansion of +nan.0 in i
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (* (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i) (sqrt (/ 1 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))) in i
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i) in i
* [misc]taylor:  Taking taylor expansion of (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) 1) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (/ 1 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) into (/ 1 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (sqrt (/ 1 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) into (sqrt (/ 1 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (/ 0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (/ 1 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))))) into 0
* [misc]backup-simplify:  Simplify (* (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) 1) into (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (* +nan.0 (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) into (* +nan.0 (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))
* [misc]backup-simplify:  Simplify (* (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) 1) into (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (* +nan.0 (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) into (* +nan.0 (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) 0) into (- (* +nan.0 (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))))
* [misc]backup-simplify:  Simplify (- (- (* +nan.0 (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))))) into (- (* +nan.0 (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))
* [misc]backup-simplify:  Simplify (+ 0 (- (* +nan.0 (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))) into (- (* +nan.0 (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))))
* [misc]backup-simplify:  Simplify (- (- (* +nan.0 (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))))) into (- (* +nan.0 (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (- (* +nan.0 (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))) into (- (+ (* +nan.0 (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (- (* +nan.0 (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (- (* +nan.0 (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))))))) into (- (+ (* +nan.0 (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (- (* +nan.0 (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))))))
* [misc]backup-simplify:  Simplify (+ 0 (- (+ (* +nan.0 (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (- (* +nan.0 (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))))))) into (- (+ (* +nan.0 (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (- (* +nan.0 (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (- (* +nan.0 (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))))))) into (- (+ (* +nan.0 (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (- (* +nan.0 (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))))))
* [misc]backup-simplify:  Simplify (- (+ (* +nan.0 (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (- (* +nan.0 (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))))) into (- (+ (* +nan.0 (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (- (* +nan.0 (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))))))
* [misc]backup-simplify:  Simplify (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) i) (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) into (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) i) (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))
* [misc]backup-simplify:  Simplify (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) i) (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) into (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) i) (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))))
* [misc]backup-simplify:  Simplify (* (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (/ 1 (sqr i))) into (* (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (/ 1 (sqr i)))
* [misc]backup-simplify:  Simplify (* +nan.0 (* (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (/ 1 (sqr i)))) into (* +nan.0 (* (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (/ 1 (sqr i))))
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (* 0 i))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) 0) (* 0 (/ 1 i))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (* 0 (* (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (/ 1 i)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (* (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (/ 1 (sqr i)))) 0) into (- (* +nan.0 (* (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (/ 1 (sqr i)))))
* [misc]backup-simplify:  Simplify (- (- (* +nan.0 (* (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (/ 1 (sqr i)))))) into (- (* +nan.0 (* (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (/ 1 (sqr i)))))
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) i) (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))) (- (* +nan.0 (* (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (/ 1 (sqr i)))))) into (- (+ (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) i) (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) (- (* +nan.0 (* (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (/ 1 (sqr i)))))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) i) (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) (- (* +nan.0 (* (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (/ 1 (sqr i)))))))) into (- (+ (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) i) (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))) (- (* +nan.0 (* (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (/ 1 (sqr i)))))))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) i) (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))) (- (* +nan.0 (* (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (/ 1 (sqr i))))))) in i
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) i) (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))) (- (* +nan.0 (* (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (/ 1 (sqr i)))))) in i
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) i) (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))) in i
* [misc]taylor:  Taking taylor expansion of +nan.0 in i
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) i) (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) 2 (/ -1 alpha)) i) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) 2 (/ -1 alpha)) 1) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) into (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) into 0
* [misc]taylor:  Taking taylor expansion of (- (* +nan.0 (* (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (/ 1 (sqr i))))) in i
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (* (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (/ 1 (sqr i)))) in i
* [misc]taylor:  Taking taylor expansion of +nan.0 in i
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (* (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (/ 1 (sqr i))) in i
* [misc]taylor:  Taking taylor expansion of (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) into (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) into 0
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqr i)) in i
* [misc]taylor:  Taking taylor expansion of (sqr i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (* (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) 1) into (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (* +nan.0 (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) into (* +nan.0 (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))
* [misc]backup-simplify:  Simplify (- (* +nan.0 (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))) into (- (* +nan.0 (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))
* [misc]backup-simplify:  Simplify (+ 0 (- (* +nan.0 (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))) into (- (* +nan.0 (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))))
* [misc]backup-simplify:  Simplify (- (- (* +nan.0 (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))))) into (- (* +nan.0 (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))
* [misc]backup-simplify:  Simplify (- (* +nan.0 (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) into (- (* +nan.0 (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) 0) (* 0 (/ 1 i))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (* 0 (* (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (/ 1 i)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) 1) into (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (* +nan.0 (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) into (* +nan.0 (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))
* [misc]backup-simplify:  Simplify (- (* +nan.0 (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) into (- (* +nan.0 (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))))
* [misc]backup-simplify:  Simplify (- (* +nan.0 (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))) into (- (* +nan.0 (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))
* [misc]backup-simplify:  Simplify (+ (* (- (* +nan.0 (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) (* (/ 1 (/ 1 (- i))) (* (/ 1 (/ 1 (- alpha))) (sqr (/ 1 (- beta)))))) (+ (* (- (* +nan.0 (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))) (sqr (* (/ 1 (/ 1 (- i))) (* 1 (/ 1 (- beta)))))) (* (- (+ (* +nan.0 (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (- (* +nan.0 (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))))) (* (/ 1 (sqr (/ 1 (- i)))) (* (/ 1 (/ 1 (- alpha))) (pow (/ 1 (- beta)) 3)))))) into (- (+ (* +nan.0 (* (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (/ (* alpha i) (sqr beta)))) (- (+ (* +nan.0 (* (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (/ (sqr i) (sqr beta)))) (- (+ (* +nan.0 (* (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (/ (* alpha (sqr i)) (pow beta 3)))) (- (* +nan.0 (* (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (/ (* alpha (sqr i)) (pow beta 3)))))))))))
* [misc]approximate:  Taking taylor expansion of (sqr (/ (* (sqrt (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta)))) (sqrt (/ i (+ beta (fma i 2 alpha))))) (sqrt (- (sqr (+ beta (fma i 2 alpha))) 1.0)))) in (beta alpha i) around 0
* [misc]taylor:  Taking taylor expansion of (sqr (/ (* (sqrt (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta)))) (sqrt (/ i (+ beta (fma i 2 alpha))))) (sqrt (- (sqr (+ beta (fma i 2 alpha))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (/ (* (sqrt (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta)))) (sqrt (/ i (+ beta (fma i 2 alpha))))) (sqrt (- (sqr (+ beta (fma i 2 alpha))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of (* (sqrt (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta)))) (sqrt (/ i (+ beta (fma i 2 alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (sqrt (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta)))) in i
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) in i
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (+ (+ beta alpha) i) in i
* [misc]taylor:  Taking taylor expansion of (+ beta alpha) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ beta alpha) into (+ beta alpha)
* [misc]backup-simplify:  Simplify (+ (+ beta alpha) 0) into (+ beta alpha)
* [misc]backup-simplify:  Simplify (+ beta (fma i 2 alpha)) into (+ beta (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (/ (+ beta alpha) (+ beta (fma i 2 alpha))) into (/ (+ beta alpha) (+ beta (fma i 2 alpha)))
* [misc]taylor:  Taking taylor expansion of (fma i (+ (+ beta alpha) i) (* alpha beta)) in i
* [misc]backup-simplify:  Simplify (fma i (+ (+ beta alpha) i) (* alpha beta)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]backup-simplify:  Simplify (* (/ (+ beta alpha) (+ beta (fma i 2 alpha))) (fma i (+ beta (+ alpha i)) (* beta alpha))) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (+ beta alpha)) (+ beta (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (sqrt (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (+ beta alpha)) (+ beta (fma i 2 alpha)))) into (sqrt (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (+ beta alpha)) (+ beta (fma i 2 alpha))))
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 1 (+ beta (fma i 2 alpha))) (+ (* (/ (+ beta alpha) (+ beta (fma i 2 alpha))) (/ 0 (+ beta (fma i 2 alpha)))))) into (/ 1 (+ beta (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (+ (* (/ (+ beta alpha) (+ beta (fma i 2 alpha))) 0) (* (/ 1 (+ beta (fma i 2 alpha))) (fma i (+ beta (+ alpha i)) (* beta alpha)))) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (+ beta (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (/ (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (+ beta (fma i 2 alpha))) (* 2 (sqrt (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (+ beta alpha)) (+ beta (fma i 2 alpha)))))) into (* 1/2 (sqrt (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (+ beta (fma i 2 alpha)) (+ beta alpha)))))
* [misc]taylor:  Taking taylor expansion of (sqrt (/ i (+ beta (fma i 2 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (/ i (+ beta (fma i 2 alpha))) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ beta (fma i 2 alpha)) into (+ beta (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (/ 1 (+ beta (fma i 2 alpha))) into (/ 1 (+ beta (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ (/ 1 (+ beta (fma i 2 alpha))) (* 2 (sqrt 0))) into (/ +nan.0 (+ beta (fma i 2 alpha)))
* [misc]taylor:  Taking taylor expansion of (sqrt (- (sqr (+ beta (fma i 2 alpha))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (sqr (+ beta (fma i 2 alpha))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (sqr (+ beta (fma i 2 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (+ beta (fma i 2 alpha)) into (+ beta (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* (+ beta (fma i 2 alpha)) (+ beta (fma i 2 alpha))) into (sqr (+ beta (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (+ beta (fma i 2 alpha))) (- 1.0)) into (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0)
* [misc]backup-simplify:  Simplify (sqrt (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0)) into (sqrt (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0))
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ beta (fma i 2 alpha)) 0) (* 0 (+ beta (fma i 2 alpha)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0)))) into 0
* [misc]backup-simplify:  Simplify (* (sqrt (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (+ beta alpha)) (+ beta (fma i 2 alpha)))) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (+ beta alpha)) (+ beta (fma i 2 alpha)))) (/ +nan.0 (+ beta (fma i 2 alpha)))) (* (* 1/2 (sqrt (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (+ beta (fma i 2 alpha)) (+ beta alpha))))) 0)) into (- (* +nan.0 (sqrt (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (+ beta alpha)) (pow (+ beta (fma i 2 alpha)) 3)))))
* [misc]backup-simplify:  Simplify (/ (- (* +nan.0 (sqrt (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (+ beta alpha)) (pow (+ beta (fma i 2 alpha)) 3))))) (sqrt (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0))) into (* +nan.0 (sqrt (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (+ beta alpha)) (* (pow (+ beta (fma i 2 alpha)) 3) (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0)))))
* [misc]taylor:  Taking taylor expansion of (sqr (/ (* (sqrt (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta)))) (sqrt (/ i (+ beta (fma i 2 alpha))))) (sqrt (- (sqr (+ beta (fma i 2 alpha))) 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (* (sqrt (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta)))) (sqrt (/ i (+ beta (fma i 2 alpha))))) (sqrt (- (sqr (+ beta (fma i 2 alpha))) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (sqrt (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta)))) (sqrt (/ i (+ beta (fma i 2 alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqrt (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ beta alpha) i) in alpha
* [misc]taylor:  Taking taylor expansion of (+ beta alpha) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (+ beta i) into (+ beta i)
* [misc]backup-simplify:  Simplify (+ beta (fma i 2 alpha)) into (+ beta (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (/ (+ beta i) (+ beta (fma i 2 alpha))) into (/ (+ beta i) (+ beta (fma i 2 alpha)))
* [misc]taylor:  Taking taylor expansion of (fma i (+ (+ beta alpha) i) (* alpha beta)) in alpha
* [misc]backup-simplify:  Simplify (fma i (+ (+ beta alpha) i) (* alpha beta)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]backup-simplify:  Simplify (* (/ (+ beta i) (+ beta (fma i 2 alpha))) (fma i (+ beta (+ alpha i)) (* beta alpha))) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (+ beta i)) (+ beta (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (sqrt (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (+ beta i)) (+ beta (fma i 2 alpha)))) into (sqrt (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (+ beta i)) (+ beta (fma i 2 alpha))))
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 1 (+ beta (fma i 2 alpha))) (+ (* (/ (+ beta i) (+ beta (fma i 2 alpha))) (/ 0 (+ beta (fma i 2 alpha)))))) into (/ 1 (+ beta (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (+ (* (/ (+ beta i) (+ beta (fma i 2 alpha))) 0) (* (/ 1 (+ beta (fma i 2 alpha))) (fma i (+ beta (+ alpha i)) (* beta alpha)))) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (+ beta (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (/ (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (+ beta (fma i 2 alpha))) (* 2 (sqrt (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (+ beta i)) (+ beta (fma i 2 alpha)))))) into (* 1/2 (sqrt (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (+ beta (fma i 2 alpha)) (+ beta i)))))
* [misc]taylor:  Taking taylor expansion of (sqrt (/ i (+ beta (fma i 2 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ i (+ beta (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ beta (fma i 2 alpha)) into (+ beta (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (/ i (+ beta (fma i 2 alpha))) into (/ i (+ beta (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (sqrt (/ i (+ beta (fma i 2 alpha)))) into (sqrt (/ i (+ beta (fma i 2 alpha))))
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ beta (fma i 2 alpha))) (+ (* (/ i (+ beta (fma i 2 alpha))) (/ 0 (+ beta (fma i 2 alpha)))))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (/ i (+ beta (fma i 2 alpha)))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (- (sqr (+ beta (fma i 2 alpha))) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (- (sqr (+ beta (fma i 2 alpha))) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (+ beta (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (+ beta (fma i 2 alpha)) into (+ beta (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* (+ beta (fma i 2 alpha)) (+ beta (fma i 2 alpha))) into (sqr (+ beta (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (+ beta (fma i 2 alpha))) (- 1.0)) into (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0)
* [misc]backup-simplify:  Simplify (sqrt (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0)) into (sqrt (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0))
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ beta (fma i 2 alpha)) 0) (* 0 (+ beta (fma i 2 alpha)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0)))) into 0
* [misc]backup-simplify:  Simplify (* (sqrt (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (+ beta i)) (+ beta (fma i 2 alpha)))) (sqrt (/ i (+ beta (fma i 2 alpha))))) into (* (sqrt (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* i (+ beta i)))) (/ 1 (+ beta (fma i 2 alpha))))
* [misc]backup-simplify:  Simplify (/ (* (sqrt (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* i (+ beta i)))) (/ 1 (+ beta (fma i 2 alpha)))) (sqrt (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0))) into (* (sqrt (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* i (+ beta i))) (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0))) (/ 1 (+ beta (fma i 2 alpha))))
* [misc]taylor:  Taking taylor expansion of (sqr (/ (* (sqrt (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta)))) (sqrt (/ i (+ beta (fma i 2 alpha))))) (sqrt (- (sqr (+ beta (fma i 2 alpha))) 1.0)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (* (sqrt (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta)))) (sqrt (/ i (+ beta (fma i 2 alpha))))) (sqrt (- (sqr (+ beta (fma i 2 alpha))) 1.0))) in beta
* [misc]taylor:  Taking taylor expansion of (* (sqrt (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta)))) (sqrt (/ i (+ beta (fma i 2 alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (sqrt (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta)))) in beta
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ beta alpha) i) in beta
* [misc]taylor:  Taking taylor expansion of (+ beta alpha) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in beta
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ 0 alpha) into alpha
* [misc]backup-simplify:  Simplify (+ alpha i) into (+ alpha i)
* [misc]backup-simplify:  Simplify (+ 0 (fma i 2 alpha)) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (/ (+ alpha i) (fma i 2 alpha)) into (/ (+ alpha i) (fma i 2 alpha))
* [misc]taylor:  Taking taylor expansion of (fma i (+ (+ beta alpha) i) (* alpha beta)) in beta
* [misc]backup-simplify:  Simplify (fma i (+ (+ beta alpha) i) (* alpha beta)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]backup-simplify:  Simplify (* (/ (+ alpha i) (fma i 2 alpha)) (fma i (+ beta (+ alpha i)) (* beta alpha))) into (/ (* (+ alpha i) (fma i (+ beta (+ alpha i)) (* beta alpha))) (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (sqrt (/ (* (+ alpha i) (fma i (+ beta (+ alpha i)) (* beta alpha))) (fma i 2 alpha))) into (sqrt (/ (* (+ alpha i) (fma i (+ beta (+ alpha i)) (* beta alpha))) (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (- (/ 1 (fma i 2 alpha)) (+ (* (/ (+ alpha i) (fma i 2 alpha)) (/ 1 (fma i 2 alpha))))) into (- (/ 1 (fma i 2 alpha)) (+ (/ i (sqr (fma i 2 alpha))) (/ alpha (sqr (fma i 2 alpha)))))
* [misc]backup-simplify:  Simplify (+ (* (/ (+ alpha i) (fma i 2 alpha)) 0) (* (- (/ 1 (fma i 2 alpha)) (+ (/ i (sqr (fma i 2 alpha))) (/ alpha (sqr (fma i 2 alpha))))) (fma i (+ beta (+ alpha i)) (* beta alpha)))) into (- (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha)) (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) alpha) (sqr (fma i 2 alpha))) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha)))))
* [misc]backup-simplify:  Simplify (/ (- (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha)) (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) alpha) (sqr (fma i 2 alpha))) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha))))) (* 2 (sqrt (/ (* (+ alpha i) (fma i (+ beta (+ alpha i)) (* beta alpha))) (fma i 2 alpha))))) into (* 1/2 (* (sqrt (/ (fma i 2 alpha) (* (+ alpha i) (fma i (+ beta (+ alpha i)) (* beta alpha))))) (- (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha)) (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) alpha) (sqr (fma i 2 alpha))) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha)))))))
* [misc]taylor:  Taking taylor expansion of (sqrt (/ i (+ beta (fma i 2 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ i (+ beta (fma i 2 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in beta
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ 0 (fma i 2 alpha)) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (/ i (fma i 2 alpha)) into (/ i (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (sqrt (/ i (fma i 2 alpha))) into (sqrt (/ i (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (- (/ 0 (fma i 2 alpha)) (+ (* (/ i (fma i 2 alpha)) (/ 1 (fma i 2 alpha))))) into (- (/ i (sqr (fma i 2 alpha))))
* [misc]backup-simplify:  Simplify (/ (- (/ i (sqr (fma i 2 alpha)))) (* 2 (sqrt (/ i (fma i 2 alpha))))) into (* -1/2 (sqrt (/ i (pow (fma i 2 alpha) 3))))
* [misc]taylor:  Taking taylor expansion of (sqrt (- (sqr (+ beta (fma i 2 alpha))) 1.0)) in beta
* [misc]taylor:  Taking taylor expansion of (- (sqr (+ beta (fma i 2 alpha))) 1.0) in beta
* [misc]taylor:  Taking taylor expansion of (sqr (+ beta (fma i 2 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in beta
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (+ 0 (fma i 2 alpha)) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (sqrt (- (sqr (fma i 2 alpha)) 1.0)) into (sqrt (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 1) (* 1 (fma i 2 alpha))) into (* 2 (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 (fma i 2 alpha)) 0) into (* 2 (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (/ (* 2 (fma i 2 alpha)) (* 2 (sqrt (- (sqr (fma i 2 alpha)) 1.0)))) into (* (fma i 2 alpha) (sqrt (/ 1 (- (sqr (fma i 2 alpha)) 1.0))))
* [misc]backup-simplify:  Simplify (* (sqrt (/ (* (+ alpha i) (fma i (+ beta (+ alpha i)) (* beta alpha))) (fma i 2 alpha))) (sqrt (/ i (fma i 2 alpha)))) into (* (sqrt (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i))) (/ 1 (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (/ (* (sqrt (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i))) (/ 1 (fma i 2 alpha))) (sqrt (- (sqr (fma i 2 alpha)) 1.0))) into (* (sqrt (/ (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (- (sqr (fma i 2 alpha)) 1.0))) (/ 1 (fma i 2 alpha)))
* [misc]taylor:  Taking taylor expansion of (sqr (/ (* (sqrt (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta)))) (sqrt (/ i (+ beta (fma i 2 alpha))))) (sqrt (- (sqr (+ beta (fma i 2 alpha))) 1.0)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (* (sqrt (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta)))) (sqrt (/ i (+ beta (fma i 2 alpha))))) (sqrt (- (sqr (+ beta (fma i 2 alpha))) 1.0))) in beta
* [misc]taylor:  Taking taylor expansion of (* (sqrt (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta)))) (sqrt (/ i (+ beta (fma i 2 alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (sqrt (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta)))) in beta
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ beta alpha) i) in beta
* [misc]taylor:  Taking taylor expansion of (+ beta alpha) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in beta
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ 0 alpha) into alpha
* [misc]backup-simplify:  Simplify (+ alpha i) into (+ alpha i)
* [misc]backup-simplify:  Simplify (+ 0 (fma i 2 alpha)) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (/ (+ alpha i) (fma i 2 alpha)) into (/ (+ alpha i) (fma i 2 alpha))
* [misc]taylor:  Taking taylor expansion of (fma i (+ (+ beta alpha) i) (* alpha beta)) in beta
* [misc]backup-simplify:  Simplify (fma i (+ (+ beta alpha) i) (* alpha beta)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]backup-simplify:  Simplify (* (/ (+ alpha i) (fma i 2 alpha)) (fma i (+ beta (+ alpha i)) (* beta alpha))) into (/ (* (+ alpha i) (fma i (+ beta (+ alpha i)) (* beta alpha))) (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (sqrt (/ (* (+ alpha i) (fma i (+ beta (+ alpha i)) (* beta alpha))) (fma i 2 alpha))) into (sqrt (/ (* (+ alpha i) (fma i (+ beta (+ alpha i)) (* beta alpha))) (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (- (/ 1 (fma i 2 alpha)) (+ (* (/ (+ alpha i) (fma i 2 alpha)) (/ 1 (fma i 2 alpha))))) into (- (/ 1 (fma i 2 alpha)) (+ (/ i (sqr (fma i 2 alpha))) (/ alpha (sqr (fma i 2 alpha)))))
* [misc]backup-simplify:  Simplify (+ (* (/ (+ alpha i) (fma i 2 alpha)) 0) (* (- (/ 1 (fma i 2 alpha)) (+ (/ i (sqr (fma i 2 alpha))) (/ alpha (sqr (fma i 2 alpha))))) (fma i (+ beta (+ alpha i)) (* beta alpha)))) into (- (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha)) (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) alpha) (sqr (fma i 2 alpha))) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha)))))
* [misc]backup-simplify:  Simplify (/ (- (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha)) (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) alpha) (sqr (fma i 2 alpha))) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha))))) (* 2 (sqrt (/ (* (+ alpha i) (fma i (+ beta (+ alpha i)) (* beta alpha))) (fma i 2 alpha))))) into (* 1/2 (* (sqrt (/ (fma i 2 alpha) (* (+ alpha i) (fma i (+ beta (+ alpha i)) (* beta alpha))))) (- (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha)) (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) alpha) (sqr (fma i 2 alpha))) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha)))))))
* [misc]taylor:  Taking taylor expansion of (sqrt (/ i (+ beta (fma i 2 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ i (+ beta (fma i 2 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in beta
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ 0 (fma i 2 alpha)) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (/ i (fma i 2 alpha)) into (/ i (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (sqrt (/ i (fma i 2 alpha))) into (sqrt (/ i (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (- (/ 0 (fma i 2 alpha)) (+ (* (/ i (fma i 2 alpha)) (/ 1 (fma i 2 alpha))))) into (- (/ i (sqr (fma i 2 alpha))))
* [misc]backup-simplify:  Simplify (/ (- (/ i (sqr (fma i 2 alpha)))) (* 2 (sqrt (/ i (fma i 2 alpha))))) into (* -1/2 (sqrt (/ i (pow (fma i 2 alpha) 3))))
* [misc]taylor:  Taking taylor expansion of (sqrt (- (sqr (+ beta (fma i 2 alpha))) 1.0)) in beta
* [misc]taylor:  Taking taylor expansion of (- (sqr (+ beta (fma i 2 alpha))) 1.0) in beta
* [misc]taylor:  Taking taylor expansion of (sqr (+ beta (fma i 2 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in beta
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (+ 0 (fma i 2 alpha)) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (sqrt (- (sqr (fma i 2 alpha)) 1.0)) into (sqrt (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 1) (* 1 (fma i 2 alpha))) into (* 2 (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 (fma i 2 alpha)) 0) into (* 2 (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (/ (* 2 (fma i 2 alpha)) (* 2 (sqrt (- (sqr (fma i 2 alpha)) 1.0)))) into (* (fma i 2 alpha) (sqrt (/ 1 (- (sqr (fma i 2 alpha)) 1.0))))
* [misc]backup-simplify:  Simplify (* (sqrt (/ (* (+ alpha i) (fma i (+ beta (+ alpha i)) (* beta alpha))) (fma i 2 alpha))) (sqrt (/ i (fma i 2 alpha)))) into (* (sqrt (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i))) (/ 1 (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (/ (* (sqrt (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i))) (/ 1 (fma i 2 alpha))) (sqrt (- (sqr (fma i 2 alpha)) 1.0))) into (* (sqrt (/ (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (- (sqr (fma i 2 alpha)) 1.0))) (/ 1 (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (* (* (sqrt (/ (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (- (sqr (fma i 2 alpha)) 1.0))) (/ 1 (fma i 2 alpha))) (* (sqrt (/ (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (- (sqr (fma i 2 alpha)) 1.0))) (/ 1 (fma i 2 alpha)))) into (/ (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]taylor:  Taking taylor expansion of (/ (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (+ 0 i) into i
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) into (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)
* [misc]backup-simplify:  Simplify (* i (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) into (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)) into (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]taylor:  Taking taylor expansion of (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) in i
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in i
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (sqr i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 1) (+ (* 0 0) (* 0 0))) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)) into (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (+ (* (sqrt (/ (* (+ alpha i) (fma i (+ beta (+ alpha i)) (* beta alpha))) (fma i 2 alpha))) (* -1/2 (sqrt (/ i (pow (fma i 2 alpha) 3))))) (* (* 1/2 (* (sqrt (/ (fma i 2 alpha) (* (+ alpha i) (fma i (+ beta (+ alpha i)) (* beta alpha))))) (- (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha)) (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) alpha) (sqr (fma i 2 alpha))) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha))))))) (sqrt (/ i (fma i 2 alpha))))) into (- (* 1/2 (* (sqrt (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (+ alpha i))) (/ 1 (fma i 2 alpha)))) (+ (* 1/2 (* (sqrt (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (pow i 3)) (+ alpha i))) (/ 1 (sqr (fma i 2 alpha))))) (+ (* 1/2 (* (sqrt (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (+ alpha i))) (/ alpha (sqr (fma i 2 alpha))))) (* 1/2 (* (sqrt (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i))) (/ 1 (sqr (fma i 2 alpha))))))))
* [misc]backup-simplify:  Simplify (- (/ (- (* 1/2 (* (sqrt (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (+ alpha i))) (/ 1 (fma i 2 alpha)))) (+ (* 1/2 (* (sqrt (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (pow i 3)) (+ alpha i))) (/ 1 (sqr (fma i 2 alpha))))) (+ (* 1/2 (* (sqrt (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (+ alpha i))) (/ alpha (sqr (fma i 2 alpha))))) (* 1/2 (* (sqrt (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i))) (/ 1 (sqr (fma i 2 alpha)))))))) (sqrt (- (sqr (fma i 2 alpha)) 1.0))) (+ (* (* (sqrt (/ (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (- (sqr (fma i 2 alpha)) 1.0))) (/ 1 (fma i 2 alpha))) (/ (* (fma i 2 alpha) (sqrt (/ 1 (- (sqr (fma i 2 alpha)) 1.0)))) (sqrt (- (sqr (fma i 2 alpha)) 1.0)))))) into (- (* 1/2 (* (sqrt (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0)))) (/ 1 (fma i 2 alpha)))) (+ (* 1/2 (* (sqrt (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (pow i 3)) (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0)))) (/ 1 (sqr (fma i 2 alpha))))) (+ (* 1/2 (* (sqrt (/ (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (- (sqr (fma i 2 alpha)) 1.0))) (/ 1 (sqr (fma i 2 alpha))))) (+ (sqrt (/ (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (* 1/2 (* (sqrt (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0)))) (/ alpha (sqr (fma i 2 alpha)))))))))
* [misc]backup-simplify:  Simplify (+ (* (* (sqrt (/ (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (- (sqr (fma i 2 alpha)) 1.0))) (/ 1 (fma i 2 alpha))) (- (* 1/2 (* (sqrt (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0)))) (/ 1 (fma i 2 alpha)))) (+ (* 1/2 (* (sqrt (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (pow i 3)) (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0)))) (/ 1 (sqr (fma i 2 alpha))))) (+ (* 1/2 (* (sqrt (/ (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (- (sqr (fma i 2 alpha)) 1.0))) (/ 1 (sqr (fma i 2 alpha))))) (+ (sqrt (/ (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (* 1/2 (* (sqrt (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0)))) (/ alpha (sqr (fma i 2 alpha)))))))))) (* (- (* 1/2 (* (sqrt (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0)))) (/ 1 (fma i 2 alpha)))) (+ (* 1/2 (* (sqrt (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (pow i 3)) (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0)))) (/ 1 (sqr (fma i 2 alpha))))) (+ (* 1/2 (* (sqrt (/ (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (- (sqr (fma i 2 alpha)) 1.0))) (/ 1 (sqr (fma i 2 alpha))))) (+ (sqrt (/ (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (* 1/2 (* (sqrt (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0)))) (/ alpha (sqr (fma i 2 alpha))))))))) (* (sqrt (/ (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (- (sqr (fma i 2 alpha)) 1.0))) (/ 1 (fma i 2 alpha))))) into (- (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0))) (+ (/ (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0))) (+ (* 2 (/ (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)))))))
* [misc]taylor:  Taking taylor expansion of (- (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0))) (+ (/ (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0))) (+ (* 2 (/ (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) into (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)) into (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]taylor:  Taking taylor expansion of (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0))) (+ (/ (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0))) (+ (* 2 (/ (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (* alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (pow (fma i 2 alpha) 3) in alpha
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (fma i 2 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 3 (log (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of 3 in alpha
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (log (fma i 2 alpha)) into (log (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* 3 (log (fma i 2 alpha))) into (* 3 (log (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (fma i 2 alpha)))) into (pow (fma i 2 alpha) 3)
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* 0 i) into 0
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 i)) into i
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* 0 0)) into (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)) into (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0))) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]taylor:  Taking taylor expansion of (+ (/ (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0))) (+ (* 2 (/ (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (pow (fma i 2 alpha) 3) in alpha
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (fma i 2 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 3 (log (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of 3 in alpha
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (log (fma i 2 alpha)) into (log (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* 3 (log (fma i 2 alpha))) into (* 3 (log (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (fma i 2 alpha)))) into (pow (fma i 2 alpha) 3)
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (+ 0 i) into i
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) into (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)
* [misc]backup-simplify:  Simplify (* i (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) into (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)) into (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0))) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]taylor:  Taking taylor expansion of (+ (* 2 (/ (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (sqr (- (sqr (fma i 2 alpha)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (+ 0 i) into i
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) into (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)
* [misc]backup-simplify:  Simplify (* i (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) into (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (- (sqr (fma i 2 alpha)) 1.0) (- (sqr (fma i 2 alpha)) 1.0)) into (sqr (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))) into (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))
* [misc]taylor:  Taking taylor expansion of (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (sqr i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (pow (fma i 2 alpha) 3) in alpha
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (fma i 2 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 3 (log (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of 3 in alpha
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (log (fma i 2 alpha)) into (log (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* 3 (log (fma i 2 alpha))) into (* 3 (log (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (fma i 2 alpha)))) into (pow (fma i 2 alpha) 3)
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) into (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)) into (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0))) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) into (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))
* [misc]backup-simplify:  Simplify (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)))) into (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))))
* [misc]backup-simplify:  Simplify (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0))) (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))))) into (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)))))
* [misc]backup-simplify:  Simplify (+ 0 (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)))))) into (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)))))
* [misc]backup-simplify:  Simplify (- (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)))))) into (- (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0))))))
* [misc]backup-simplify:  Simplify (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (- (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0))))))) into (- (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))))
* [misc]taylor:  Taking taylor expansion of (- (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))))) in i
* [misc]taylor:  Taking taylor expansion of (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) in i
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in i
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 1) (* 0 0)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)) into (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]taylor:  Taking taylor expansion of (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) in i
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in i
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (sqr i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (pow (fma i 2 alpha) 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (fma i 2 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log (fma i 2 alpha))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (log (fma i 2 alpha)) into (log (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* 3 (log (fma i 2 alpha))) into (* 3 (log (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (fma i 2 alpha)))) into (pow (fma i 2 alpha) 3)
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 1) (+ (* 0 0) (* 0 0))) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)) into (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0))) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) in i
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in i
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (sqr i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (sqr (- (sqr (fma i 2 alpha)) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 1) (+ (* 0 0) (* 0 0))) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (- (sqr (fma i 2 alpha)) 1.0) (- (sqr (fma i 2 alpha)) 1.0)) into (sqr (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))) into (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) (+ (* 0 1) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 0) (* 0 (fma i 2 alpha))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 0) (* 0 (fma i 2 alpha))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (fma i 2 alpha)) 0) (* 0 (- (sqr (fma i 2 alpha)) 1.0))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (+ (* (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (/ 0 (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))))) into 0
* [misc]backup-simplify:  Simplify (* 2 (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)))) into (* 2 (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0))))
* [misc]backup-simplify:  Simplify (* 2 (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) into (* 2 (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))
* [misc]backup-simplify:  Simplify (+ (* 2 (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)))) (* 2 (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) into (+ (* 2 (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)))) (* 2 (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))))
* [misc]backup-simplify:  Simplify (- (+ (* 2 (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)))) (* 2 (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))))) into (- (+ (* 2 (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)))) (* 2 (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))))
* [misc]backup-simplify:  Simplify (+ 0 (- (+ (* 2 (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)))) (* 2 (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))))) into (- (+ (* 2 (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)))) (* 2 (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))))
* [misc]backup-simplify:  Simplify (- (+ (* 2 (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)))) (* 2 (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))))) into (- (+ (* 2 (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)))) (* 2 (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))))
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) (* 0 i)) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ (* i 0) (* 1 (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i))) into (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 0) (* 0 (fma i 2 alpha))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 0) (* 0 (fma i 2 alpha))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (fma i 2 alpha)) 0) (* 0 (- (sqr (fma i 2 alpha)) 1.0))) into 0
* [misc]backup-simplify:  Simplify (- (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (+ (* (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (/ 0 (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))))) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]taylor:  Taking taylor expansion of (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) in i
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in i
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 1) (* 0 0)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)) into (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) (+ (* 0 1) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 0) (* 0 (fma i 2 alpha))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 0) (* 0 (fma i 2 alpha))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (fma i 2 alpha)) 0) (* 0 (- (sqr (fma i 2 alpha)) 1.0))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (+ (* (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (/ 0 (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) (+ (* 0 1) (+ (* 0 0) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 0) (* 0 (fma i 2 alpha))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 0) (* 0 (fma i 2 alpha))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (fma i 2 alpha)) 0) (* 0 (- (sqr (fma i 2 alpha)) 1.0))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (+ (* (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (/ 0 (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (fma i 2 alpha)) (+ (* (/ i (fma i 2 alpha)) (/ 0 (fma i 2 alpha))) (* (- (/ i (sqr (fma i 2 alpha)))) (/ 1 (fma i 2 alpha))))) into (/ i (pow (fma i 2 alpha) 3))
* [misc]backup-simplify:  Simplify (/ (- (/ i (pow (fma i 2 alpha) 3)) (sqr (* -1/2 (sqrt (/ i (pow (fma i 2 alpha) 3))))) (+)) (* 2 (sqrt (/ i (fma i 2 alpha))))) into (* 3/8 (sqrt (/ i (pow (fma i 2 alpha) 5))))
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (fma i 2 alpha)) (+ (* (/ (+ alpha i) (fma i 2 alpha)) (/ 0 (fma i 2 alpha))) (* (- (/ 1 (fma i 2 alpha)) (+ (/ i (sqr (fma i 2 alpha))) (/ alpha (sqr (fma i 2 alpha))))) (/ 1 (fma i 2 alpha))))) into (- (+ (/ i (pow (fma i 2 alpha) 3)) (/ alpha (pow (fma i 2 alpha) 3))) (/ 1 (sqr (fma i 2 alpha))))
* [misc]backup-simplify:  Simplify (+ (* (/ (+ alpha i) (fma i 2 alpha)) 0) (+ (* (- (/ 1 (fma i 2 alpha)) (+ (/ i (sqr (fma i 2 alpha))) (/ alpha (sqr (fma i 2 alpha))))) 0) (* (- (+ (/ i (pow (fma i 2 alpha) 3)) (/ alpha (pow (fma i 2 alpha) 3))) (/ 1 (sqr (fma i 2 alpha)))) (fma i (+ beta (+ alpha i)) (* beta alpha))))) into (- (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (pow (fma i 2 alpha) 3)) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) alpha) (pow (fma i 2 alpha) 3))) (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr (fma i 2 alpha))))
* [misc]backup-simplify:  Simplify (/ (- (- (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (pow (fma i 2 alpha) 3)) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) alpha) (pow (fma i 2 alpha) 3))) (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr (fma i 2 alpha)))) (sqr (* 1/2 (* (sqrt (/ (fma i 2 alpha) (* (+ alpha i) (fma i (+ beta (+ alpha i)) (* beta alpha))))) (- (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha)) (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) alpha) (sqr (fma i 2 alpha))) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha)))))))) (+)) (* 2 (sqrt (/ (* (+ alpha i) (fma i (+ beta (+ alpha i)) (* beta alpha))) (fma i 2 alpha))))) into (* 1/2 (* (sqrt (/ (fma i 2 alpha) (* (+ alpha i) (fma i (+ beta (+ alpha i)) (* beta alpha))))) (- (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) alpha) (pow (fma i 2 alpha) 3)) (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (pow (fma i 2 alpha) 3)) (+ (* 1/2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (+ alpha i) (sqr (fma i 2 alpha))))) (* 1/2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) alpha) (* (+ alpha i) (sqr (fma i 2 alpha)))))))) (+ (* 1/4 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (+ alpha i) (pow (fma i 2 alpha) 3)))) (+ (* 1/2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (* (+ alpha i) (pow (fma i 2 alpha) 3)))) (+ (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr (fma i 2 alpha))) (+ (* 1/4 (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (+ alpha i) (fma i 2 alpha)))) (* 1/4 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr alpha)) (* (+ alpha i) (pow (fma i 2 alpha) 3)))))))))))
* [misc]backup-simplify:  Simplify (+ (* (sqrt (/ (* (+ alpha i) (fma i (+ beta (+ alpha i)) (* beta alpha))) (fma i 2 alpha))) (* 3/8 (sqrt (/ i (pow (fma i 2 alpha) 5))))) (+ (* (* 1/2 (* (sqrt (/ (fma i 2 alpha) (* (+ alpha i) (fma i (+ beta (+ alpha i)) (* beta alpha))))) (- (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha)) (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) alpha) (sqr (fma i 2 alpha))) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha))))))) (* -1/2 (sqrt (/ i (pow (fma i 2 alpha) 3))))) (* (* 1/2 (* (sqrt (/ (fma i 2 alpha) (* (+ alpha i) (fma i (+ beta (+ alpha i)) (* beta alpha))))) (- (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) alpha) (pow (fma i 2 alpha) 3)) (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (pow (fma i 2 alpha) 3)) (+ (* 1/2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (+ alpha i) (sqr (fma i 2 alpha))))) (* 1/2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) alpha) (* (+ alpha i) (sqr (fma i 2 alpha)))))))) (+ (* 1/4 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (+ alpha i) (pow (fma i 2 alpha) 3)))) (+ (* 1/2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (* (+ alpha i) (pow (fma i 2 alpha) 3)))) (+ (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr (fma i 2 alpha))) (+ (* 1/4 (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (+ alpha i) (fma i 2 alpha)))) (* 1/4 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr alpha)) (* (+ alpha i) (pow (fma i 2 alpha) 3))))))))))) (sqrt (/ i (fma i 2 alpha)))))) into (- (+ (* 3/8 (* (sqrt (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i))) (/ 1 (pow (fma i 2 alpha) 3)))) (+ (* 1/4 (* (sqrt (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (pow (+ alpha i) 3))) (/ alpha (sqr (fma i 2 alpha))))) (+ (* 3/4 (* (sqrt (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (pow i 3)) (+ alpha i))) (/ 1 (pow (fma i 2 alpha) 3)))) (+ (* 3/4 (* (sqrt (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (+ alpha i))) (/ alpha (pow (fma i 2 alpha) 3)))) (* 1/4 (* (sqrt (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (pow i 3)) (pow (+ alpha i) 3))) (/ 1 (sqr (fma i 2 alpha))))))))) (+ (* 1/8 (* (sqrt (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (pow i 5)) (pow (+ alpha i) 3))) (/ 1 (pow (fma i 2 alpha) 3)))) (+ (* 1/8 (* (sqrt (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (pow (+ alpha i) 3))) (/ 1 (fma i 2 alpha)))) (+ (* 1/8 (* (sqrt (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (pow (+ alpha i) 3))) (/ (sqr alpha) (pow (fma i 2 alpha) 3)))) (+ (* 1/4 (* (sqrt (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (pow i 3)) (pow (+ alpha i) 3))) (/ alpha (pow (fma i 2 alpha) 3)))) (* 3/4 (* (sqrt (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (+ alpha i))) (/ 1 (sqr (fma i 2 alpha))))))))))
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 0) (+ (* 1 1) (* 0 (fma i 2 alpha)))) into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (- 1 (sqr (* (fma i 2 alpha) (sqrt (/ 1 (- (sqr (fma i 2 alpha)) 1.0))))) (+)) (* 2 (sqrt (- (sqr (fma i 2 alpha)) 1.0)))) into (* 1/2 (* (- 1 (/ (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (sqrt (/ 1 (- (sqr (fma i 2 alpha)) 1.0)))))
* [misc]backup-simplify:  Simplify (- (/ (- (+ (* 3/8 (* (sqrt (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i))) (/ 1 (pow (fma i 2 alpha) 3)))) (+ (* 1/4 (* (sqrt (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (pow (+ alpha i) 3))) (/ alpha (sqr (fma i 2 alpha))))) (+ (* 3/4 (* (sqrt (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (pow i 3)) (+ alpha i))) (/ 1 (pow (fma i 2 alpha) 3)))) (+ (* 3/4 (* (sqrt (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (+ alpha i))) (/ alpha (pow (fma i 2 alpha) 3)))) (* 1/4 (* (sqrt (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (pow i 3)) (pow (+ alpha i) 3))) (/ 1 (sqr (fma i 2 alpha))))))))) (+ (* 1/8 (* (sqrt (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (pow i 5)) (pow (+ alpha i) 3))) (/ 1 (pow (fma i 2 alpha) 3)))) (+ (* 1/8 (* (sqrt (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (pow (+ alpha i) 3))) (/ 1 (fma i 2 alpha)))) (+ (* 1/8 (* (sqrt (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (pow (+ alpha i) 3))) (/ (sqr alpha) (pow (fma i 2 alpha) 3)))) (+ (* 1/4 (* (sqrt (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (pow i 3)) (pow (+ alpha i) 3))) (/ alpha (pow (fma i 2 alpha) 3)))) (* 3/4 (* (sqrt (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (+ alpha i))) (/ 1 (sqr (fma i 2 alpha)))))))))) (sqrt (- (sqr (fma i 2 alpha)) 1.0))) (+ (* (* (sqrt (/ (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (- (sqr (fma i 2 alpha)) 1.0))) (/ 1 (fma i 2 alpha))) (/ (* 1/2 (* (- 1 (/ (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (sqrt (/ 1 (- (sqr (fma i 2 alpha)) 1.0))))) (sqrt (- (sqr (fma i 2 alpha)) 1.0)))) (* (- (* 1/2 (* (sqrt (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0)))) (/ 1 (fma i 2 alpha)))) (+ (* 1/2 (* (sqrt (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (pow i 3)) (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0)))) (/ 1 (sqr (fma i 2 alpha))))) (+ (* 1/2 (* (sqrt (/ (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (- (sqr (fma i 2 alpha)) 1.0))) (/ 1 (sqr (fma i 2 alpha))))) (+ (sqrt (/ (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (* 1/2 (* (sqrt (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0)))) (/ alpha (sqr (fma i 2 alpha))))))))) (/ (* (fma i 2 alpha) (sqrt (/ 1 (- (sqr (fma i 2 alpha)) 1.0)))) (sqrt (- (sqr (fma i 2 alpha)) 1.0)))))) into (- (+ (* 3/2 (* (sqrt (/ (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 5))) (fma i 2 alpha))) (+ (* 3/4 (* (sqrt (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0)))) (/ alpha (pow (fma i 2 alpha) 3)))) (+ (* 3/8 (* (sqrt (/ (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (- (sqr (fma i 2 alpha)) 1.0))) (/ 1 (pow (fma i 2 alpha) 3)))) (+ (* 1/4 (* (sqrt (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (pow (+ alpha i) 3) (- (sqr (fma i 2 alpha)) 1.0)))) (/ alpha (sqr (fma i 2 alpha))))) (+ (* 1/2 (* (sqrt (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (+ alpha i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (/ alpha (fma i 2 alpha)))) (+ (* 1/2 (* (sqrt (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (pow i 3)) (* (+ alpha i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (/ 1 (fma i 2 alpha)))) (+ (* 1/4 (* (sqrt (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (pow i 3)) (* (pow (+ alpha i) 3) (- (sqr (fma i 2 alpha)) 1.0)))) (/ 1 (sqr (fma i 2 alpha))))) (* 3/4 (* (sqrt (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (pow i 3)) (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0)))) (/ 1 (pow (fma i 2 alpha) 3))))))))))) (+ (* 1/8 (* (sqrt (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (pow (+ alpha i) 3) (- (sqr (fma i 2 alpha)) 1.0)))) (/ 1 (fma i 2 alpha)))) (+ (* 3/4 (* (sqrt (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0)))) (/ 1 (sqr (fma i 2 alpha))))) (+ (* 1/8 (* (sqrt (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (pow (+ alpha i) 3) (- (sqr (fma i 2 alpha)) 1.0)))) (/ (sqr alpha) (pow (fma i 2 alpha) 3)))) (+ (* 1/8 (* (sqrt (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (pow i 5)) (* (pow (+ alpha i) 3) (- (sqr (fma i 2 alpha)) 1.0)))) (/ 1 (pow (fma i 2 alpha) 3)))) (+ (* 1/2 (sqrt (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (+ alpha i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))))) (* 1/4 (* (sqrt (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (pow i 3)) (* (pow (+ alpha i) 3) (- (sqr (fma i 2 alpha)) 1.0)))) (/ alpha (pow (fma i 2 alpha) 3))))))))))
* [misc]backup-simplify:  Simplify (+ (* (* (sqrt (/ (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (- (sqr (fma i 2 alpha)) 1.0))) (/ 1 (fma i 2 alpha))) (- (+ (* 3/2 (* (sqrt (/ (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 5))) (fma i 2 alpha))) (+ (* 3/4 (* (sqrt (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0)))) (/ alpha (pow (fma i 2 alpha) 3)))) (+ (* 3/8 (* (sqrt (/ (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (- (sqr (fma i 2 alpha)) 1.0))) (/ 1 (pow (fma i 2 alpha) 3)))) (+ (* 1/4 (* (sqrt (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (pow (+ alpha i) 3) (- (sqr (fma i 2 alpha)) 1.0)))) (/ alpha (sqr (fma i 2 alpha))))) (+ (* 1/2 (* (sqrt (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (+ alpha i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (/ alpha (fma i 2 alpha)))) (+ (* 1/2 (* (sqrt (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (pow i 3)) (* (+ alpha i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (/ 1 (fma i 2 alpha)))) (+ (* 1/4 (* (sqrt (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (pow i 3)) (* (pow (+ alpha i) 3) (- (sqr (fma i 2 alpha)) 1.0)))) (/ 1 (sqr (fma i 2 alpha))))) (* 3/4 (* (sqrt (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (pow i 3)) (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0)))) (/ 1 (pow (fma i 2 alpha) 3))))))))))) (+ (* 1/8 (* (sqrt (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (pow (+ alpha i) 3) (- (sqr (fma i 2 alpha)) 1.0)))) (/ 1 (fma i 2 alpha)))) (+ (* 3/4 (* (sqrt (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0)))) (/ 1 (sqr (fma i 2 alpha))))) (+ (* 1/8 (* (sqrt (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (pow (+ alpha i) 3) (- (sqr (fma i 2 alpha)) 1.0)))) (/ (sqr alpha) (pow (fma i 2 alpha) 3)))) (+ (* 1/8 (* (sqrt (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (pow i 5)) (* (pow (+ alpha i) 3) (- (sqr (fma i 2 alpha)) 1.0)))) (/ 1 (pow (fma i 2 alpha) 3)))) (+ (* 1/2 (sqrt (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (+ alpha i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))))) (* 1/4 (* (sqrt (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (pow i 3)) (* (pow (+ alpha i) 3) (- (sqr (fma i 2 alpha)) 1.0)))) (/ alpha (pow (fma i 2 alpha) 3))))))))))) (+ (* (- (* 1/2 (* (sqrt (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0)))) (/ 1 (fma i 2 alpha)))) (+ (* 1/2 (* (sqrt (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (pow i 3)) (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0)))) (/ 1 (sqr (fma i 2 alpha))))) (+ (* 1/2 (* (sqrt (/ (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (- (sqr (fma i 2 alpha)) 1.0))) (/ 1 (sqr (fma i 2 alpha))))) (+ (sqrt (/ (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (* 1/2 (* (sqrt (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0)))) (/ alpha (sqr (fma i 2 alpha))))))))) (- (* 1/2 (* (sqrt (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0)))) (/ 1 (fma i 2 alpha)))) (+ (* 1/2 (* (sqrt (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (pow i 3)) (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0)))) (/ 1 (sqr (fma i 2 alpha))))) (+ (* 1/2 (* (sqrt (/ (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (- (sqr (fma i 2 alpha)) 1.0))) (/ 1 (sqr (fma i 2 alpha))))) (+ (sqrt (/ (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (* 1/2 (* (sqrt (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0)))) (/ alpha (sqr (fma i 2 alpha)))))))))) (* (- (+ (* 3/2 (* (sqrt (/ (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 5))) (fma i 2 alpha))) (+ (* 3/4 (* (sqrt (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0)))) (/ alpha (pow (fma i 2 alpha) 3)))) (+ (* 3/8 (* (sqrt (/ (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (- (sqr (fma i 2 alpha)) 1.0))) (/ 1 (pow (fma i 2 alpha) 3)))) (+ (* 1/4 (* (sqrt (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (pow (+ alpha i) 3) (- (sqr (fma i 2 alpha)) 1.0)))) (/ alpha (sqr (fma i 2 alpha))))) (+ (* 1/2 (* (sqrt (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (+ alpha i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (/ alpha (fma i 2 alpha)))) (+ (* 1/2 (* (sqrt (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (pow i 3)) (* (+ alpha i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (/ 1 (fma i 2 alpha)))) (+ (* 1/4 (* (sqrt (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (pow i 3)) (* (pow (+ alpha i) 3) (- (sqr (fma i 2 alpha)) 1.0)))) (/ 1 (sqr (fma i 2 alpha))))) (* 3/4 (* (sqrt (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (pow i 3)) (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0)))) (/ 1 (pow (fma i 2 alpha) 3))))))))))) (+ (* 1/8 (* (sqrt (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (pow (+ alpha i) 3) (- (sqr (fma i 2 alpha)) 1.0)))) (/ 1 (fma i 2 alpha)))) (+ (* 3/4 (* (sqrt (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (+ alpha i) (- (sqr (fma i 2 alpha)) 1.0)))) (/ 1 (sqr (fma i 2 alpha))))) (+ (* 1/8 (* (sqrt (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (pow (+ alpha i) 3) (- (sqr (fma i 2 alpha)) 1.0)))) (/ (sqr alpha) (pow (fma i 2 alpha) 3)))) (+ (* 1/8 (* (sqrt (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (pow i 5)) (* (pow (+ alpha i) 3) (- (sqr (fma i 2 alpha)) 1.0)))) (/ 1 (pow (fma i 2 alpha) 3)))) (+ (* 1/2 (sqrt (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (+ alpha i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))))) (* 1/4 (* (sqrt (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (pow i 3)) (* (pow (+ alpha i) 3) (- (sqr (fma i 2 alpha)) 1.0)))) (/ alpha (pow (fma i 2 alpha) 3)))))))))) (* (sqrt (/ (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (- (sqr (fma i 2 alpha)) 1.0))) (/ 1 (fma i 2 alpha)))))) into (- (+ (* 3 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 3 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 21/8 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 4) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 5/2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 5/2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 21/8 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (* (pow (fma i 2 alpha) 4) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 3/8 (/ (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (* (pow (fma i 2 alpha) 4) (- (sqr (fma i 2 alpha)) 1.0)))) (* 3/2 (/ (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))))))))) (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))))
* [misc]taylor:  Taking taylor expansion of (- (+ (* 3 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 3 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 21/8 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 4) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 5/2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 5/2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 21/8 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (* (pow (fma i 2 alpha) 4) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 3/8 (/ (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (* (pow (fma i 2 alpha) 4) (- (sqr (fma i 2 alpha)) 1.0)))) (* 3/2 (/ (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))))))))) (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* 3 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 3 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 21/8 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 4) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 5/2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 5/2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 21/8 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (* (pow (fma i 2 alpha) 4) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 3/8 (/ (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (* (pow (fma i 2 alpha) 4) (- (sqr (fma i 2 alpha)) 1.0)))) (* 3/2 (/ (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 3 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) in alpha
* [misc]taylor:  Taking taylor expansion of 3 in alpha
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (sqr i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (sqr (- (sqr (fma i 2 alpha)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) into (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (- (sqr (fma i 2 alpha)) 1.0) (- (sqr (fma i 2 alpha)) 1.0)) into (sqr (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))) into (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))
* [misc]taylor:  Taking taylor expansion of (+ (* 3 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 21/8 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 4) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 5/2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 5/2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 21/8 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (* (pow (fma i 2 alpha) 4) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 3/8 (/ (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (* (pow (fma i 2 alpha) 4) (- (sqr (fma i 2 alpha)) 1.0)))) (* 3/2 (/ (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 3 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) in alpha
* [misc]taylor:  Taking taylor expansion of 3 in alpha
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (* alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (sqr (- (sqr (fma i 2 alpha)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* 0 i) into 0
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 i)) into i
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* 0 0)) into (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (- (sqr (fma i 2 alpha)) 1.0) (- (sqr (fma i 2 alpha)) 1.0)) into (sqr (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))) into (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))
* [misc]taylor:  Taking taylor expansion of (+ (* 21/8 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 4) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 5/2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 5/2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 21/8 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (* (pow (fma i 2 alpha) 4) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 3/8 (/ (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (* (pow (fma i 2 alpha) 4) (- (sqr (fma i 2 alpha)) 1.0)))) (* 3/2 (/ (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 21/8 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 4) (- (sqr (fma i 2 alpha)) 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of 21/8 in alpha
* [misc]backup-simplify:  Simplify 21/8 into 21/8
* [misc]taylor:  Taking taylor expansion of (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 4) (- (sqr (fma i 2 alpha)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (sqr i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (* (pow (fma i 2 alpha) 4) (- (sqr (fma i 2 alpha)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (pow (fma i 2 alpha) 4) in alpha
* [misc]taylor:  Taking taylor expansion of (exp (* 4 (log (fma i 2 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 4 (log (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of 4 in alpha
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (log (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (log (fma i 2 alpha)) into (log (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* 4 (log (fma i 2 alpha))) into (* 4 (log (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (exp (* 4 (log (fma i 2 alpha)))) into (pow (fma i 2 alpha) 4)
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) into (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (pow (fma i 2 alpha) 4) (- (sqr (fma i 2 alpha)) 1.0)) into (* (pow (fma i 2 alpha) 4) (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 4) (- (sqr (fma i 2 alpha)) 1.0))) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 4) (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]taylor:  Taking taylor expansion of (+ (* 5/2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 5/2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 21/8 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (* (pow (fma i 2 alpha) 4) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 3/8 (/ (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (* (pow (fma i 2 alpha) 4) (- (sqr (fma i 2 alpha)) 1.0)))) (* 3/2 (/ (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 5/2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) in alpha
* [misc]taylor:  Taking taylor expansion of 5/2 in alpha
* [misc]backup-simplify:  Simplify 5/2 into 5/2
* [misc]taylor:  Taking taylor expansion of (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (sqr i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (pow (- (sqr (fma i 2 alpha)) 1.0) 3) in alpha
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (- (sqr (fma i 2 alpha)) 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 3 (log (- (sqr (fma i 2 alpha)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of 3 in alpha
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (- (sqr (fma i 2 alpha)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (log (- (sqr (fma i 2 alpha)) 1.0)) into (log (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (* 3 (log (- (sqr (fma i 2 alpha)) 1.0))) into (* 3 (log (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (- (sqr (fma i 2 alpha)) 1.0)))) into (pow (- (sqr (fma i 2 alpha)) 1.0) 3)
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) into (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i))
* [misc]backup-simplify:  Simplify (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))
* [misc]taylor:  Taking taylor expansion of (+ (* 5/2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 21/8 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (* (pow (fma i 2 alpha) 4) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 3/8 (/ (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (* (pow (fma i 2 alpha) 4) (- (sqr (fma i 2 alpha)) 1.0)))) (* 3/2 (/ (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 5/2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) in alpha
* [misc]taylor:  Taking taylor expansion of 5/2 in alpha
* [misc]backup-simplify:  Simplify 5/2 into 5/2
* [misc]taylor:  Taking taylor expansion of (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (* alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (pow (- (sqr (fma i 2 alpha)) 1.0) 3) in alpha
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (- (sqr (fma i 2 alpha)) 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 3 (log (- (sqr (fma i 2 alpha)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of 3 in alpha
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (- (sqr (fma i 2 alpha)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (log (- (sqr (fma i 2 alpha)) 1.0)) into (log (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (* 3 (log (- (sqr (fma i 2 alpha)) 1.0))) into (* 3 (log (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (- (sqr (fma i 2 alpha)) 1.0)))) into (pow (- (sqr (fma i 2 alpha)) 1.0) 3)
* [misc]backup-simplify:  Simplify (* 0 i) into 0
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 i)) into i
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* 0 0)) into (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)
* [misc]backup-simplify:  Simplify (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))
* [misc]taylor:  Taking taylor expansion of (+ (* 21/8 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (* (pow (fma i 2 alpha) 4) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 3/8 (/ (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (* (pow (fma i 2 alpha) 4) (- (sqr (fma i 2 alpha)) 1.0)))) (* 3/2 (/ (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 21/8 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (* (pow (fma i 2 alpha) 4) (- (sqr (fma i 2 alpha)) 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of 21/8 in alpha
* [misc]backup-simplify:  Simplify 21/8 into 21/8
* [misc]taylor:  Taking taylor expansion of (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (* (pow (fma i 2 alpha) 4) (- (sqr (fma i 2 alpha)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (* alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (* (pow (fma i 2 alpha) 4) (- (sqr (fma i 2 alpha)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (pow (fma i 2 alpha) 4) in alpha
* [misc]taylor:  Taking taylor expansion of (exp (* 4 (log (fma i 2 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 4 (log (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of 4 in alpha
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (log (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (log (fma i 2 alpha)) into (log (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* 4 (log (fma i 2 alpha))) into (* 4 (log (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (exp (* 4 (log (fma i 2 alpha)))) into (pow (fma i 2 alpha) 4)
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* 0 i) into 0
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 i)) into i
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* 0 0)) into (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (pow (fma i 2 alpha) 4) (- (sqr (fma i 2 alpha)) 1.0)) into (* (pow (fma i 2 alpha) 4) (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (pow (fma i 2 alpha) 4) (- (sqr (fma i 2 alpha)) 1.0))) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (pow (fma i 2 alpha) 4) (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]taylor:  Taking taylor expansion of (+ (* 3/8 (/ (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (* (pow (fma i 2 alpha) 4) (- (sqr (fma i 2 alpha)) 1.0)))) (* 3/2 (/ (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 3/8 (/ (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (* (pow (fma i 2 alpha) 4) (- (sqr (fma i 2 alpha)) 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of 3/8 in alpha
* [misc]backup-simplify:  Simplify 3/8 into 3/8
* [misc]taylor:  Taking taylor expansion of (/ (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (* (pow (fma i 2 alpha) 4) (- (sqr (fma i 2 alpha)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (* (pow (fma i 2 alpha) 4) (- (sqr (fma i 2 alpha)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (pow (fma i 2 alpha) 4) in alpha
* [misc]taylor:  Taking taylor expansion of (exp (* 4 (log (fma i 2 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 4 (log (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of 4 in alpha
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (log (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (log (fma i 2 alpha)) into (log (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* 4 (log (fma i 2 alpha))) into (* 4 (log (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (exp (* 4 (log (fma i 2 alpha)))) into (pow (fma i 2 alpha) 4)
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (+ 0 i) into i
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) into (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)
* [misc]backup-simplify:  Simplify (* i (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) into (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (pow (fma i 2 alpha) 4) (- (sqr (fma i 2 alpha)) 1.0)) into (* (pow (fma i 2 alpha) 4) (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 4) (- (sqr (fma i 2 alpha)) 1.0))) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 4) (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]taylor:  Taking taylor expansion of (* 3/2 (/ (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) in alpha
* [misc]taylor:  Taking taylor expansion of 3/2 in alpha
* [misc]backup-simplify:  Simplify 3/2 into 3/2
* [misc]taylor:  Taking taylor expansion of (/ (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)) in alpha
* [misc]taylor:  Taking taylor expansion of (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (pow (- (sqr (fma i 2 alpha)) 1.0) 3) in alpha
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (- (sqr (fma i 2 alpha)) 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 3 (log (- (sqr (fma i 2 alpha)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of 3 in alpha
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (- (sqr (fma i 2 alpha)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (log (- (sqr (fma i 2 alpha)) 1.0)) into (log (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (* 3 (log (- (sqr (fma i 2 alpha)) 1.0))) into (* 3 (log (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (- (sqr (fma i 2 alpha)) 1.0)))) into (pow (- (sqr (fma i 2 alpha)) 1.0) 3)
* [misc]backup-simplify:  Simplify (+ 0 i) into i
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) into (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)
* [misc]backup-simplify:  Simplify (* i (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) into (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i))
* [misc]backup-simplify:  Simplify (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))
* [misc]taylor:  Taking taylor expansion of (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (pow (fma i 2 alpha) 3) in alpha
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (fma i 2 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 3 (log (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of 3 in alpha
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (log (fma i 2 alpha)) into (log (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* 3 (log (fma i 2 alpha))) into (* 3 (log (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (fma i 2 alpha)))) into (pow (fma i 2 alpha) 3)
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) into (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)) into (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0))) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (sqr (- (sqr (fma i 2 alpha)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) into (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (- (sqr (fma i 2 alpha)) 1.0) (- (sqr (fma i 2 alpha)) 1.0)) into (sqr (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))) into (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))
* [misc]backup-simplify:  Simplify (* 3 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) into (* 3 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))
* [misc]backup-simplify:  Simplify (* 21/8 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 4) (- (sqr (fma i 2 alpha)) 1.0)))) into (* 21/8 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 4) (- (sqr (fma i 2 alpha)) 1.0))))
* [misc]backup-simplify:  Simplify (* 5/2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) into (* 5/2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))
* [misc]backup-simplify:  Simplify (* 3/8 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 4) (- (sqr (fma i 2 alpha)) 1.0)))) into (* 3/8 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 4) (- (sqr (fma i 2 alpha)) 1.0))))
* [misc]backup-simplify:  Simplify (* 3/2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) into (* 3/2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))
* [misc]backup-simplify:  Simplify (+ (* 3/8 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 4) (- (sqr (fma i 2 alpha)) 1.0)))) (* 3/2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) into (+ (* 3/2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (* 3/8 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 4) (- (sqr (fma i 2 alpha)) 1.0)))))
* [misc]backup-simplify:  Simplify (+ 0 (+ (* 3/2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (* 3/8 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 4) (- (sqr (fma i 2 alpha)) 1.0)))))) into (+ (* 3/2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (* 3/8 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 4) (- (sqr (fma i 2 alpha)) 1.0)))))
* [misc]backup-simplify:  Simplify (+ 0 (+ (* 3/2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (* 3/8 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 4) (- (sqr (fma i 2 alpha)) 1.0)))))) into (+ (* 3/2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (* 3/8 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 4) (- (sqr (fma i 2 alpha)) 1.0)))))
* [misc]backup-simplify:  Simplify (+ (* 5/2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 3/2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (* 3/8 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 4) (- (sqr (fma i 2 alpha)) 1.0)))))) into (+ (* 4 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (* 3/8 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 4) (- (sqr (fma i 2 alpha)) 1.0)))))
* [misc]backup-simplify:  Simplify (+ (* 21/8 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 4) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 4 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (* 3/8 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 4) (- (sqr (fma i 2 alpha)) 1.0)))))) into (+ (* 4 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (* 3 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 4) (- (sqr (fma i 2 alpha)) 1.0)))))
* [misc]backup-simplify:  Simplify (+ 0 (+ (* 4 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (* 3 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 4) (- (sqr (fma i 2 alpha)) 1.0)))))) into (+ (* 4 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (* 3 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 4) (- (sqr (fma i 2 alpha)) 1.0)))))
* [misc]backup-simplify:  Simplify (+ (* 3 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (* 3 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 4) (- (sqr (fma i 2 alpha)) 1.0)))))) into (+ (* 3 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (* 3 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 4) (- (sqr (fma i 2 alpha)) 1.0))))))
* [misc]backup-simplify:  Simplify (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)))) into (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0))))
* [misc]backup-simplify:  Simplify (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) into (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))
* [misc]backup-simplify:  Simplify (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) into (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)))))
* [misc]backup-simplify:  Simplify (- (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)))))) into (- (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0))))))
* [misc]backup-simplify:  Simplify (+ (+ (* 3 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (* 3 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 4) (- (sqr (fma i 2 alpha)) 1.0)))))) (- (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0))))))) into (- (+ (* 3 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (* 3 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 4) (- (sqr (fma i 2 alpha)) 1.0)))))) (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0))))))
* [misc]taylor:  Taking taylor expansion of (- (+ (* 3 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (* 3 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 4) (- (sqr (fma i 2 alpha)) 1.0)))))) (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)))))) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 3 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (* 3 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 4) (- (sqr (fma i 2 alpha)) 1.0)))))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) in i
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in i
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (sqr i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (sqr (- (sqr (fma i 2 alpha)) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 1) (+ (* 0 0) (* 0 0))) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (- (sqr (fma i 2 alpha)) 1.0) (- (sqr (fma i 2 alpha)) 1.0)) into (sqr (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))) into (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (* 3 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 4) (- (sqr (fma i 2 alpha)) 1.0))))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)) in i
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) in i
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in i
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (sqr i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow (- (sqr (fma i 2 alpha)) 1.0) 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (- (sqr (fma i 2 alpha)) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log (- (sqr (fma i 2 alpha)) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (- (sqr (fma i 2 alpha)) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (log (- (sqr (fma i 2 alpha)) 1.0)) into (log (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (* 3 (log (- (sqr (fma i 2 alpha)) 1.0))) into (* 3 (log (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (- (sqr (fma i 2 alpha)) 1.0)))) into (pow (- (sqr (fma i 2 alpha)) 1.0) 3)
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 1) (+ (* 0 0) (* 0 0))) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]backup-simplify:  Simplify (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))
* [misc]taylor:  Taking taylor expansion of (* 3 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 4) (- (sqr (fma i 2 alpha)) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 4) (- (sqr (fma i 2 alpha)) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) in i
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in i
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (sqr i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (pow (fma i 2 alpha) 4) (- (sqr (fma i 2 alpha)) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (pow (fma i 2 alpha) 4) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 4 (log (fma i 2 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (log (fma i 2 alpha))) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (log (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (log (fma i 2 alpha)) into (log (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* 4 (log (fma i 2 alpha))) into (* 4 (log (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (exp (* 4 (log (fma i 2 alpha)))) into (pow (fma i 2 alpha) 4)
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 1) (+ (* 0 0) (* 0 0))) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (pow (fma i 2 alpha) 4) (- (sqr (fma i 2 alpha)) 1.0)) into (* (pow (fma i 2 alpha) 4) (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (pow (fma i 2 alpha) 4) (- (sqr (fma i 2 alpha)) 1.0))) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (pow (fma i 2 alpha) 4) (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]taylor:  Taking taylor expansion of (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) in i
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in i
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (sqr (- (sqr (fma i 2 alpha)) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 1) (* 0 0)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (- (sqr (fma i 2 alpha)) 1.0) (- (sqr (fma i 2 alpha)) 1.0)) into (sqr (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))) into (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) in i
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in i
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (pow (fma i 2 alpha) 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (fma i 2 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log (fma i 2 alpha))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (log (fma i 2 alpha)) into (log (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* 3 (log (fma i 2 alpha))) into (* 3 (log (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (fma i 2 alpha)))) into (pow (fma i 2 alpha) 3)
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 1) (* 0 0)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)) into (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0))) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (* 3 (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) into (* 3 (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))
* [misc]backup-simplify:  Simplify (* 4 (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) into (* 4 (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))
* [misc]backup-simplify:  Simplify (* 3 (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (pow (fma i 2 alpha) 4) (- (sqr (fma i 2 alpha)) 1.0)))) into (* 3 (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (pow (fma i 2 alpha) 4) (- (sqr (fma i 2 alpha)) 1.0))))
* [misc]backup-simplify:  Simplify (+ (* 4 (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (* 3 (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (pow (fma i 2 alpha) 4) (- (sqr (fma i 2 alpha)) 1.0))))) into (+ (* 4 (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (* 3 (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (pow (fma i 2 alpha) 4) (- (sqr (fma i 2 alpha)) 1.0)))))
* [misc]backup-simplify:  Simplify (+ (* 3 (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (* 3 (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (pow (fma i 2 alpha) 4) (- (sqr (fma i 2 alpha)) 1.0)))))) into (+ (* 4 (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 3 (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (pow (fma i 2 alpha) 4) (- (sqr (fma i 2 alpha)) 1.0)))) (* 3 (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))))
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) (+ (* 0 1) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 0) (* 0 (fma i 2 alpha))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (sqr (fma i 2 alpha)) 1.0) 0) (* 0 (- (sqr (fma i 2 alpha)) 1.0))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 0) (* 0 (sqr (- (sqr (fma i 2 alpha)) 1.0)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (/ 0 (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) (+ (* 0 1) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 0) (* 0 (fma i 2 alpha))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (fma i 2 alpha) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (* 0 (log (fma i 2 alpha)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 3 (log (fma i 2 alpha)))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow (fma i 2 alpha) 3) 0) (* 0 (- (sqr (fma i 2 alpha)) 1.0))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0))) (+ (* (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0))) (/ 0 (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (+ (* 4 (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 3 (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (pow (fma i 2 alpha) 4) (- (sqr (fma i 2 alpha)) 1.0)))) (* 3 (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))))) 0) into (+ (* 4 (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 3 (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (pow (fma i 2 alpha) 4) (- (sqr (fma i 2 alpha)) 1.0)))) (* 3 (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))))
* [misc]backup-simplify:  Simplify (+ (* 4 (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 3 (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (pow (fma i 2 alpha) 4) (- (sqr (fma i 2 alpha)) 1.0)))) (* 3 (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))))) into (+ (* 4 (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 3 (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (pow (fma i 2 alpha) 4) (- (sqr (fma i 2 alpha)) 1.0)))) (* 3 (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))))
* [misc]backup-simplify:  Simplify (+ (* (+ (* 4 (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 3 (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (pow (fma i 2 alpha) 4) (- (sqr (fma i 2 alpha)) 1.0)))) (* 3 (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))))) (sqr (* i (* 1 beta)))) (+ (* (- (+ (* 2 (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)))) (* 2 (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))))) (* (sqr i) (* 1 beta))) (* (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (sqr (* i (* 1 1)))))) into (- (+ (* 3 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr beta) (sqr i))) (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr beta) (sqr i))) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (* 3 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr beta) (sqr i))) (* (pow (fma i 2 alpha) 4) (- (sqr (fma i 2 alpha)) 1.0))))))) (+ (* 2 (/ (* beta (* (sqr i) (fma i (+ beta (+ alpha i)) (* beta alpha)))) (* (sqr (- (sqr (fma i 2 alpha)) 1.0)) (fma i 2 alpha)))) (* 2 (/ (* beta (* (sqr i) (fma i (+ beta (+ alpha i)) (* beta alpha)))) (* (- (sqr (fma i 2 alpha)) 1.0) (pow (fma i 2 alpha) 3))))))
* [misc]approximate:  Taking taylor expansion of (sqr (/ (* (sqrt (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))))) (sqrt (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) (sqrt (- (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0)))) in (beta alpha i) around 0
* [misc]taylor:  Taking taylor expansion of (sqr (/ (* (sqrt (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))))) (sqrt (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) (sqrt (- (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (/ (* (sqrt (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))))) (sqrt (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) (sqrt (- (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of (* (sqrt (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))))) (sqrt (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) in i
* [misc]taylor:  Taking taylor expansion of (sqrt (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))))) in i
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) in i
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) in i
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (/ 1 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) into (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) into (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (* (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (* 2 (sqrt 0))) into (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))
* [misc]taylor:  Taking taylor expansion of (sqrt (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) into (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) into (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (* 2 (sqrt 0))) into (/ +nan.0 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (sqrt (- (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) into (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) into (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (- 1.0)) into (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0)
* [misc]backup-simplify:  Simplify (sqrt (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0)) into (sqrt (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) 0) (* 0 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0)))) into 0
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 (/ +nan.0 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (* (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) 0)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (+ (* (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (/ 0 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (sqr (/ +nan.0 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (+)) (* 2 0)) into (/ +nan.0 (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (+ (/ 1 beta) (/ 1 alpha)) into (+ (/ 1 beta) (/ 1 alpha))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (+ (/ 1 beta) (/ 1 alpha)) 0) into (+ (/ 1 beta) (/ 1 alpha))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ (+ (/ 1 beta) (/ 1 alpha)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (+ (* (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (/ 0 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))) into (+ (/ 1 (* beta (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (/ 1 (* alpha (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))
* [misc]backup-simplify:  Simplify (+ (* (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 0) (* (+ (/ 1 (* beta (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (/ 1 (* alpha (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))) into (+ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* beta (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))
* [misc]backup-simplify:  Simplify (/ (- (+ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* beta (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) (sqr (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) (+)) (* 2 0)) into (* +nan.0 (- (+ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* beta (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))))
* [misc]backup-simplify:  Simplify (+ (* 0 (/ +nan.0 (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) (+ (* (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (/ +nan.0 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (* (* +nan.0 (- (+ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* beta (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))))) 0))) into (- (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))))
* [misc]backup-simplify:  Simplify (/ (- (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))) (sqrt (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0))) into (* +nan.0 (* (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (sqrt (/ 1 (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0)))))
* [misc]taylor:  Taking taylor expansion of (sqr (/ (* (sqrt (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))))) (sqrt (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) (sqrt (- (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (* (sqrt (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))))) (sqrt (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) (sqrt (- (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (sqrt (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))))) (sqrt (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqrt (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (/ 1 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) into (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) into (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (* (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (* 2 (sqrt 0))) into (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))
* [misc]taylor:  Taking taylor expansion of (sqrt (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) into (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) into (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))
* [misc]backup-simplify:  Simplify (sqrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))) into (sqrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i)))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (+ (* (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i)) (/ 0 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (- (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (- (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) into (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) into (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (- 1.0)) into (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0)
* [misc]backup-simplify:  Simplify (sqrt (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0)) into (sqrt (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) 0) (* 0 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0)))) into 0
* [misc]backup-simplify:  Simplify (* 0 (sqrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (sqrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))))) into (- (* +nan.0 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqrt (/ 1 (* (pow (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) 3) i))))))
* [misc]backup-simplify:  Simplify (/ (- (* +nan.0 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqrt (/ 1 (* (pow (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) 3) i)))))) (sqrt (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0))) into (* +nan.0 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqrt (/ 1 (* (pow (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) 3) (* i (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0)))))))
* [misc]taylor:  Taking taylor expansion of (sqr (/ (* (sqrt (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))))) (sqrt (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) (sqrt (- (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (* (sqrt (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))))) (sqrt (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) (sqrt (- (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0))) in beta
* [misc]taylor:  Taking taylor expansion of (* (sqrt (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))))) (sqrt (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) in beta
* [misc]taylor:  Taking taylor expansion of (sqrt (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))))) in beta
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (/ 1 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (* 1 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) into (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 alpha)) into (/ 1 alpha)
* [misc]backup-simplify:  Simplify (+ (/ 1 alpha) (/ 1 i)) into (+ (/ 1 i) (/ 1 alpha))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (fma (/ 1 i) 2 (/ 1 alpha))) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (- (/ (+ (/ 1 i) (/ 1 alpha)) 1) (+ (* 1 (/ (fma (/ 1 i) 2 (/ 1 alpha)) 1)))) into (- (+ (/ 1 i) (/ 1 alpha)) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* (- (+ (/ 1 i) (/ 1 alpha)) (fma (/ 1 i) 2 (/ 1 alpha))) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))) into (- (+ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) alpha)) (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (/ (- (+ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) alpha)) (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))) (* 2 (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))))) into (* 1/2 (* (- (+ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) alpha)) (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))) (sqrt (/ 1 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))))))
* [misc]taylor:  Taking taylor expansion of (sqrt (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (/ 1 i) 1) into (/ 1 i)
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ (/ 1 i) (* 2 (sqrt 0))) into (/ +nan.0 i)
* [misc]taylor:  Taking taylor expansion of (sqrt (- (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0)) in beta
* [misc]taylor:  Taking taylor expansion of (- (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0) in beta
* [misc]taylor:  Taking taylor expansion of (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (fma (/ 1 i) 2 (/ 1 alpha))) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (* 1 (fma (/ 1 i) 2 (/ 1 alpha))) (* (fma (/ 1 i) 2 (/ 1 alpha)) 1)) into (* 2 (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (+ (* 2 (fma (/ 1 i) 2 (/ 1 alpha))) 0) into (* 2 (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ (* 2 (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (sqrt 1))) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (* (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (/ +nan.0 i)) (* (* 1/2 (* (- (+ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) alpha)) (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))) (sqrt (/ 1 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))))) 0)) into (- (* +nan.0 (* (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (/ 1 i))))
* [misc]backup-simplify:  Simplify (/ (- (* +nan.0 (* (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (/ 1 i)))) 1) into (* +nan.0 (* (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (/ 1 i)))
* [misc]taylor:  Taking taylor expansion of (sqr (/ (* (sqrt (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))))) (sqrt (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) (sqrt (- (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (* (sqrt (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))))) (sqrt (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) (sqrt (- (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0))) in beta
* [misc]taylor:  Taking taylor expansion of (* (sqrt (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))))) (sqrt (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) in beta
* [misc]taylor:  Taking taylor expansion of (sqrt (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))))) in beta
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (/ 1 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (* 1 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) into (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 alpha)) into (/ 1 alpha)
* [misc]backup-simplify:  Simplify (+ (/ 1 alpha) (/ 1 i)) into (+ (/ 1 i) (/ 1 alpha))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (fma (/ 1 i) 2 (/ 1 alpha))) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (- (/ (+ (/ 1 i) (/ 1 alpha)) 1) (+ (* 1 (/ (fma (/ 1 i) 2 (/ 1 alpha)) 1)))) into (- (+ (/ 1 i) (/ 1 alpha)) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* (- (+ (/ 1 i) (/ 1 alpha)) (fma (/ 1 i) 2 (/ 1 alpha))) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))) into (- (+ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) alpha)) (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (/ (- (+ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) alpha)) (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))) (* 2 (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))))) into (* 1/2 (* (- (+ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) alpha)) (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))) (sqrt (/ 1 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))))))
* [misc]taylor:  Taking taylor expansion of (sqrt (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (/ 1 i) 1) into (/ 1 i)
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ (/ 1 i) (* 2 (sqrt 0))) into (/ +nan.0 i)
* [misc]taylor:  Taking taylor expansion of (sqrt (- (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0)) in beta
* [misc]taylor:  Taking taylor expansion of (- (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0) in beta
* [misc]taylor:  Taking taylor expansion of (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (fma (/ 1 i) 2 (/ 1 alpha))) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (* 1 (fma (/ 1 i) 2 (/ 1 alpha))) (* (fma (/ 1 i) 2 (/ 1 alpha)) 1)) into (* 2 (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (+ (* 2 (fma (/ 1 i) 2 (/ 1 alpha))) 0) into (* 2 (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ (* 2 (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (sqrt 1))) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (* (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (/ +nan.0 i)) (* (* 1/2 (* (- (+ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) alpha)) (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))) (sqrt (/ 1 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))))) 0)) into (- (* +nan.0 (* (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (/ 1 i))))
* [misc]backup-simplify:  Simplify (/ (- (* +nan.0 (* (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (/ 1 i)))) 1) into (* +nan.0 (* (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (/ 1 i)))
* [misc]backup-simplify:  Simplify (* (* +nan.0 (* (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (/ 1 i))) (* +nan.0 (* (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (/ 1 i)))) into (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)))
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i))) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (sqr i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i))
* [misc]backup-simplify:  Simplify (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i))) into (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)))
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i))) in i
* [misc]taylor:  Taking taylor expansion of +nan.0 in i
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (sqr i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 1) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (fma (/ 1 i) 2 (/ 1 alpha))) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (/ 1 i) (/ (fma (/ 1 i) 2 (/ 1 alpha)) 1)))) into (- (/ (fma (/ 1 i) 2 (/ 1 alpha)) i))
* [misc]backup-simplify:  Simplify (/ (- (- (/ (fma (/ 1 i) 2 (/ 1 alpha)) i)) (sqr (/ +nan.0 i)) (+)) (* 2 0)) into (* +nan.0 (+ (/ (fma (/ 1 i) 2 (/ 1 alpha)) i) (- (* +nan.0 (/ 1 (sqr i))))))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (- (+ (/ 1 i) (/ 1 alpha)) (fma (/ 1 i) 2 (/ 1 alpha))) (/ (fma (/ 1 i) 2 (/ 1 alpha)) 1)))) into (- (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (+ (/ (fma (/ 1 i) 2 (/ 1 alpha)) i) (/ (fma (/ 1 i) 2 (/ 1 alpha)) alpha)))
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* (- (+ (/ 1 i) (/ 1 alpha)) (fma (/ 1 i) 2 (/ 1 alpha))) 0) (* (- (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (+ (/ (fma (/ 1 i) 2 (/ 1 alpha)) i) (/ (fma (/ 1 i) 2 (/ 1 alpha)) alpha))) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))))) into (- (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (+ (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) alpha) (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))
* [misc]backup-simplify:  Simplify (/ (- (- (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (+ (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) alpha) (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i))) (sqr (* 1/2 (* (- (+ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) alpha)) (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))) (sqrt (/ 1 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))))))) (+)) (* 2 (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))))) into (* 1/2 (* (sqrt (/ 1 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))) (- (* 3/4 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))) (+ (* 1/4 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i))) (+ (* 1/2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) alpha)) (+ (* 1/4 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr alpha))) (+ (* 1/2 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i))) (* 1/2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))))))))
* [misc]backup-simplify:  Simplify (+ (* (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (* +nan.0 (+ (/ (fma (/ 1 i) 2 (/ 1 alpha)) i) (- (* +nan.0 (/ 1 (sqr i))))))) (+ (* (* 1/2 (* (- (+ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) alpha)) (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))) (sqrt (/ 1 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))))) (/ +nan.0 i)) (* (* 1/2 (* (sqrt (/ 1 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))) (- (* 3/4 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))) (+ (* 1/4 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i))) (+ (* 1/2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) alpha)) (+ (* 1/4 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr alpha))) (+ (* 1/2 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i))) (* 1/2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i))))))))) 0))) into (- (+ (* +nan.0 (* (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (/ (fma (/ 1 i) 2 (/ 1 alpha)) i))) (- (+ (* +nan.0 (* (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (/ 1 (* alpha i)))) (- (* +nan.0 (* (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (/ 1 (sqr i)))))))))
* [misc]backup-simplify:  Simplify (- (/ (- (+ (* +nan.0 (* (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (/ (fma (/ 1 i) 2 (/ 1 alpha)) i))) (- (+ (* +nan.0 (* (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (/ 1 (* alpha i)))) (- (* +nan.0 (* (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (/ 1 (sqr i))))))))) 1) (+ (* (* +nan.0 (* (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (/ 1 i))) (/ (fma (/ 1 i) 2 (/ 1 alpha)) 1)))) into (- (+ (* +nan.0 (* (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (/ (fma (/ 1 i) 2 (/ 1 alpha)) i))) (- (+ (* +nan.0 (* (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (/ 1 (* alpha i)))) (- (* +nan.0 (* (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (/ 1 (sqr i)))))))))
* [misc]backup-simplify:  Simplify (+ (* (* +nan.0 (* (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (/ 1 i))) (- (+ (* +nan.0 (* (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (/ (fma (/ 1 i) 2 (/ 1 alpha)) i))) (- (+ (* +nan.0 (* (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (/ 1 (* alpha i)))) (- (* +nan.0 (* (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (/ 1 (sqr i)))))))))) (* (- (+ (* +nan.0 (* (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (/ (fma (/ 1 i) 2 (/ 1 alpha)) i))) (- (+ (* +nan.0 (* (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (/ 1 (* alpha i)))) (- (* +nan.0 (* (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (/ 1 (sqr i))))))))) (* +nan.0 (* (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (/ 1 i))))) into (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha (sqr i)))) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (- (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (pow i 3))))))))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha (sqr i)))) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (- (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (pow i 3)))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha (sqr i)))) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (- (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (pow i 3))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha (sqr i)))) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha (sqr i))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (* alpha (sqr i)) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (sqr i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (* 0 (sqr i)) into 0
* [misc]backup-simplify:  Simplify (+ (* i 0) (* 0 i)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 (sqr i))) into (sqr i)
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (- (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (pow i 3)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (- (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (pow i 3))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i)) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (sqr i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) into (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i)) into (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))
* [misc]taylor:  Taking taylor expansion of (- (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (pow i 3)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (pow i 3))) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (pow i 3)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (pow i 3) in alpha
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log i))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 3 (log i)) in alpha
* [misc]taylor:  Taking taylor expansion of 3 in alpha
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (log i) into (log i)
* [misc]backup-simplify:  Simplify (* 3 (log i)) into (* 3 (log i))
* [misc]backup-simplify:  Simplify (exp (* 3 (log i))) into (pow i 3)
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (pow i 3)) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (pow i 3))
* [misc]backup-simplify:  Simplify (+ (* i 0) (+ (* 0 0) (* 0 i))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (sqr i)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqr i)) (+ (* (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) (/ 0 (sqr i))))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (* 0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)))) into 0
* [misc]backup-simplify:  Simplify (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) into (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i)))
* [misc]backup-simplify:  Simplify (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (pow i 3))) into (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (pow i 3)))
* [misc]backup-simplify:  Simplify (- (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (pow i 3)))) into (- (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (pow i 3))))
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (- (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (pow i 3))))) into (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (- (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (pow i 3))))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (- (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (pow i 3))))))) into (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (- (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (pow i 3))))))
* [misc]backup-simplify:  Simplify (+ 0 (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (- (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (pow i 3))))))) into (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (- (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (pow i 3))))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (- (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (pow i 3))))))) into (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (- (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (pow i 3))))))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (- (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (pow i 3)))))) in i
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (- (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (pow i 3))))) in i
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) in i
* [misc]taylor:  Taking taylor expansion of +nan.0 in i
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i)) in i
* [misc]taylor:  Taking taylor expansion of (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (sqr i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) into (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) 1) into (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]taylor:  Taking taylor expansion of (- (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (pow i 3)))) in i
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (pow i 3))) in i
* [misc]taylor:  Taking taylor expansion of +nan.0 in i
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (pow i 3)) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (pow i 3) in i
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 1) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (+ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 0) (+ (* 0 0) (* 0 (fma (/ 1 i) 2 (/ 1 alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 0) (* 0 (fma (/ 1 i) 2 (/ 1 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* i 0) (* 0 i)) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqr i)) (+ (* (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) (/ 0 (sqr i))))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (* 0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 i) (/ 0 i)) (* 0 (/ 0 i)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (/ 1 i) (/ 0 1)) (* (- (/ (fma (/ 1 i) 2 (/ 1 alpha)) i)) (/ (fma (/ 1 i) 2 (/ 1 alpha)) 1)))) into (/ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) i)
* [misc]backup-simplify:  Simplify (/ (- (/ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) i) (+ (* 2 (* (/ +nan.0 i) (* +nan.0 (+ (/ (fma (/ 1 i) 2 (/ 1 alpha)) i) (- (* +nan.0 (/ 1 (sqr i)))))))))) (* 2 0)) into (* +nan.0 (- (/ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) i) (+ (* +nan.0 (/ (fma (/ 1 i) 2 (/ 1 alpha)) (sqr i))) (- (* +nan.0 (/ 1 (pow i 3)))))))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)) (* 0 (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 i) (/ 0 i)) (* 0 (/ 0 i)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (- (+ (/ 1 i) (/ 1 alpha)) (fma (/ 1 i) 2 (/ 1 alpha))) (/ 0 1)) (* (- (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (+ (/ (fma (/ 1 i) 2 (/ 1 alpha)) i) (/ (fma (/ 1 i) 2 (/ 1 alpha)) alpha))) (/ (fma (/ 1 i) 2 (/ 1 alpha)) 1)))) into (- (+ (/ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) alpha) (/ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) i)) (pow (fma (/ 1 i) 2 (/ 1 alpha)) 3))
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* (- (+ (/ 1 i) (/ 1 alpha)) (fma (/ 1 i) 2 (/ 1 alpha))) 0) (+ (* (- (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (+ (/ (fma (/ 1 i) 2 (/ 1 alpha)) i) (/ (fma (/ 1 i) 2 (/ 1 alpha)) alpha))) 0) (* (- (+ (/ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) alpha) (/ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) i)) (pow (fma (/ 1 i) 2 (/ 1 alpha)) 3)) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))))) into (- (+ (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) alpha) (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)) (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (pow (fma (/ 1 i) 2 (/ 1 alpha)) 3)))
* [misc]backup-simplify:  Simplify (/ (- (- (+ (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) alpha) (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)) (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (pow (fma (/ 1 i) 2 (/ 1 alpha)) 3))) (+ (* 2 (* (* 1/2 (* (- (+ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) alpha)) (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))) (sqrt (/ 1 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))))) (* 1/2 (* (sqrt (/ 1 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))) (- (* 3/4 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))) (+ (* 1/4 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i))) (+ (* 1/2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) alpha)) (+ (* 1/4 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr alpha))) (+ (* 1/2 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i))) (* 1/2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i))))))))))))) (* 2 (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))))) into (* 1/2 (* (sqrt (/ 1 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))) (- (+ (* 3/8 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (sqr alpha) i))) (+ (* 1/8 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (pow i 3))) (+ (* 3/8 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) alpha)) (+ (* 3/8 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha (sqr i)))) (+ (* 1/4 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (* alpha i))) (+ (* 1/8 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr alpha))) (+ (* 1/8 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (pow alpha 3))) (+ (* 1/8 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (* 3/8 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)))))))))) (* 5/8 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (pow (fma (/ 1 i) 2 (/ 1 alpha)) 3))))))
* [misc]backup-simplify:  Simplify (+ (* (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (* +nan.0 (- (/ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) i) (+ (* +nan.0 (/ (fma (/ 1 i) 2 (/ 1 alpha)) (sqr i))) (- (* +nan.0 (/ 1 (pow i 3)))))))) (+ (* (* 1/2 (* (- (+ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) alpha)) (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))) (sqrt (/ 1 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))))) (* +nan.0 (+ (/ (fma (/ 1 i) 2 (/ 1 alpha)) i) (- (* +nan.0 (/ 1 (sqr i))))))) (+ (* (* 1/2 (* (sqrt (/ 1 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))) (- (* 3/4 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))) (+ (* 1/4 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i))) (+ (* 1/2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) alpha)) (+ (* 1/4 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr alpha))) (+ (* 1/2 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i))) (* 1/2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i))))))))) (/ +nan.0 i)) (* (* 1/2 (* (sqrt (/ 1 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))) (- (+ (* 3/8 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (sqr alpha) i))) (+ (* 1/8 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (pow i 3))) (+ (* 3/8 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) alpha)) (+ (* 3/8 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha (sqr i)))) (+ (* 1/4 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (* alpha i))) (+ (* 1/8 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr alpha))) (+ (* 1/8 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (pow alpha 3))) (+ (* 1/8 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (* 3/8 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)))))))))) (* 5/8 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (pow (fma (/ 1 i) 2 (/ 1 alpha)) 3)))))) 0)))) into (- (+ (* +nan.0 (* (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (/ 1 (* (sqr alpha) i)))) (- (+ (* +nan.0 (* (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (/ (fma (/ 1 i) 2 (/ 1 alpha)) (* alpha i)))) (- (+ (* +nan.0 (* (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (/ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) i))) (- (+ (* +nan.0 (* (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (/ 1 (* alpha (sqr i))))) (- (+ (* +nan.0 (* (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (/ 1 (pow i 3)))) (- (* +nan.0 (* (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (/ (fma (/ 1 i) 2 (/ 1 alpha)) (sqr i)))))))))))))))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 i) 2 (/ 1 alpha))) (* 0 1))) into (sqr (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (- 1.0)) into (- (sqr (fma (/ 1 i) 2 (/ 1 alpha))) 1.0)
* [misc]backup-simplify:  Simplify (/ (- (- (sqr (fma (/ 1 i) 2 (/ 1 alpha))) 1.0) (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (+)) (* 2 1)) into -0.5
* [misc]backup-simplify:  Simplify (- (/ (- (+ (* +nan.0 (* (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (/ 1 (* (sqr alpha) i)))) (- (+ (* +nan.0 (* (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (/ (fma (/ 1 i) 2 (/ 1 alpha)) (* alpha i)))) (- (+ (* +nan.0 (* (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (/ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) i))) (- (+ (* +nan.0 (* (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (/ 1 (* alpha (sqr i))))) (- (+ (* +nan.0 (* (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (/ 1 (pow i 3)))) (- (* +nan.0 (* (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (/ (fma (/ 1 i) 2 (/ 1 alpha)) (sqr i))))))))))))))) 1) (+ (* (* +nan.0 (* (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (/ 1 i))) (/ -0.5 1)) (* (- (+ (* +nan.0 (* (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (/ (fma (/ 1 i) 2 (/ 1 alpha)) i))) (- (+ (* +nan.0 (* (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (/ 1 (* alpha i)))) (- (* +nan.0 (* (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (/ 1 (sqr i))))))))) (/ (fma (/ 1 i) 2 (/ 1 alpha)) 1)))) into (- (+ (* +nan.0 (* (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (/ 1 (* (sqr alpha) i)))) (- (+ (* +nan.0 (* (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (/ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) i))) (- (+ (* +nan.0 (* (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (/ (fma (/ 1 i) 2 (/ 1 alpha)) (* alpha i)))) (- (+ (* +nan.0 (* (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (/ 1 i))) (- (+ (* +nan.0 (* (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (/ 1 (* alpha (sqr i))))) (- (+ (* +nan.0 (* (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (/ 1 (pow i 3)))) (- (* +nan.0 (* (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (/ (fma (/ 1 i) 2 (/ 1 alpha)) (sqr i)))))))))))))))))
* [misc]backup-simplify:  Simplify (+ (* (* +nan.0 (* (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (/ 1 i))) (- (+ (* +nan.0 (* (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (/ 1 (* (sqr alpha) i)))) (- (+ (* +nan.0 (* (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (/ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) i))) (- (+ (* +nan.0 (* (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (/ (fma (/ 1 i) 2 (/ 1 alpha)) (* alpha i)))) (- (+ (* +nan.0 (* (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (/ 1 i))) (- (+ (* +nan.0 (* (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (/ 1 (* alpha (sqr i))))) (- (+ (* +nan.0 (* (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (/ 1 (pow i 3)))) (- (* +nan.0 (* (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (/ (fma (/ 1 i) 2 (/ 1 alpha)) (sqr i)))))))))))))))))) (+ (* (- (+ (* +nan.0 (* (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (/ (fma (/ 1 i) 2 (/ 1 alpha)) i))) (- (+ (* +nan.0 (* (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (/ 1 (* alpha i)))) (- (* +nan.0 (* (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (/ 1 (sqr i))))))))) (- (+ (* +nan.0 (* (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (/ (fma (/ 1 i) 2 (/ 1 alpha)) i))) (- (+ (* +nan.0 (* (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (/ 1 (* alpha i)))) (- (* +nan.0 (* (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (/ 1 (sqr i)))))))))) (* (- (+ (* +nan.0 (* (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (/ 1 (* (sqr alpha) i)))) (- (+ (* +nan.0 (* (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (/ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) i))) (- (+ (* +nan.0 (* (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (/ (fma (/ 1 i) 2 (/ 1 alpha)) (* alpha i)))) (- (+ (* +nan.0 (* (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (/ 1 i))) (- (+ (* +nan.0 (* (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (/ 1 (* alpha (sqr i))))) (- (+ (* +nan.0 (* (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (/ 1 (pow i 3)))) (- (* +nan.0 (* (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (/ (fma (/ 1 i) 2 (/ 1 alpha)) (sqr i))))))))))))))))) (* +nan.0 (* (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (/ 1 i)))))) into (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (pow i 4))) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (* alpha (sqr i)))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha (pow i 3)))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (sqr alpha) (sqr i)))) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (pow i 3))))))))))))))))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (pow i 4))) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (* alpha (sqr i)))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha (pow i 3)))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (sqr alpha) (sqr i)))) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (pow i 3)))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (pow i 4))) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (* alpha (sqr i)))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha (pow i 3)))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (sqr alpha) (sqr i)))) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (pow i 3))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i))) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (sqr i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (pow i 4))) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (* alpha (sqr i)))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha (pow i 3)))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (sqr alpha) (sqr i)))) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (pow i 3)))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (pow i 4))) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (* alpha (sqr i)))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha (pow i 3)))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (sqr alpha) (sqr i)))) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (pow i 3))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (pow i 4))) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (pow i 4)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (pow i 4) in alpha
* [misc]taylor:  Taking taylor expansion of (exp (* 4 (log i))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 4 (log i)) in alpha
* [misc]taylor:  Taking taylor expansion of 4 in alpha
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (log i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (log i) into (log i)
* [misc]backup-simplify:  Simplify (* 4 (log i)) into (* 4 (log i))
* [misc]backup-simplify:  Simplify (exp (* 4 (log i))) into (pow i 4)
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (pow i 4)) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (pow i 4))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (* alpha (sqr i)))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha (pow i 3)))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (sqr alpha) (sqr i)))) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (pow i 3)))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (* alpha (sqr i)))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha (pow i 3)))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (sqr alpha) (sqr i)))) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (pow i 3))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (* alpha (sqr i)))) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (* alpha (sqr i))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (* alpha (sqr i)) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (sqr i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) into (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (* 0 (sqr i)) into 0
* [misc]backup-simplify:  Simplify (+ (* i 0) (* 0 i)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 (sqr i))) into (sqr i)
* [misc]backup-simplify:  Simplify (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i)) into (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha (pow i 3)))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (sqr alpha) (sqr i)))) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (pow i 3)))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha (pow i 3)))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (sqr alpha) (sqr i)))) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (pow i 3))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha (pow i 3)))) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha (pow i 3))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (* alpha (pow i 3)) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow i 3) in alpha
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log i))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 3 (log i)) in alpha
* [misc]taylor:  Taking taylor expansion of 3 in alpha
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (log i) into (log i)
* [misc]backup-simplify:  Simplify (* 3 (log i)) into (* 3 (log i))
* [misc]backup-simplify:  Simplify (exp (* 3 (log i))) into (pow i 3)
* [misc]backup-simplify:  Simplify (* 0 (pow i 3)) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow i 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (* 0 (log i))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 3 (log i))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 (pow i 3))) into (pow i 3)
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (pow i 3)) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (pow i 3))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (sqr alpha) (sqr i)))) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (pow i 3)))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (sqr alpha) (sqr i)))) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (pow i 3))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (sqr alpha) (sqr i)))) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (sqr alpha) (sqr i))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (* (sqr alpha) (sqr i)) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (sqr i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (* 0 (sqr i)) into 0
* [misc]backup-simplify:  Simplify (+ (* i 0) (* 0 i)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 0 (sqr i))) into 0
* [misc]backup-simplify:  Simplify (+ (* i 0) (+ (* 0 0) (* 0 i))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 0 0) (* 1 (sqr i)))) into (sqr i)
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (pow i 3)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (pow i 3))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i))) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i)) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ 1 i) 2 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (sqr i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 i) 2 (/ 1 alpha))) into (sqr (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) into (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i)) into (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i))
* [misc]taylor:  Taking taylor expansion of (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (pow i 3)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (pow i 3))) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (pow i 3)) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (pow i 3) in alpha
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log i))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 3 (log i)) in alpha
* [misc]taylor:  Taking taylor expansion of 3 in alpha
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (log i) into (log i)
* [misc]backup-simplify:  Simplify (* 3 (log i)) into (* 3 (log i))
* [misc]backup-simplify:  Simplify (exp (* 3 (log i))) into (pow i 3)
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) into (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (pow i 3)) into (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (pow i 3))
* [misc]backup-simplify:  Simplify (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i))) into (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)))
* [misc]backup-simplify:  Simplify (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (pow i 4))) into (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (pow i 4)))
* [misc]backup-simplify:  Simplify (+ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 0) (* 0 (fma (/ 1 i) 2 (/ 1 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ (* i 0) (+ (* 0 0) (* 0 i))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (sqr i)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqr i)) (+ (* (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i)) (/ 0 (sqr i))))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (* 0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow i 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow i 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (+ (* 0 0) (* 0 (log i)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 3 (log i))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (pow i 3)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (pow i 3)) (+ (* (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (pow i 3)) (/ 0 (pow i 3))))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (* 0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (pow i 3)))) into 0
* [misc]backup-simplify:  Simplify (+ (* i 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 i))))) into 0
* [misc]backup-simplify:  Simplify (+ (* i 0) (+ (* 0 0) (+ (* 0 0) (* 0 i)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (sqr i)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 0 0) (+ (* 1 0) (* 0 (sqr i))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqr i)) (+ (* (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) (/ 0 (sqr i))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqr i)) (+ (* (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) (/ 0 (sqr i))) (* 0 (/ 0 (sqr i))))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i))))) into 0
* [misc]backup-simplify:  Simplify (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i))) into (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i)))
* [misc]backup-simplify:  Simplify (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (pow i 3))) into (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (pow i 3)))
* [misc]backup-simplify:  Simplify (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (pow i 3)))) into (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (pow i 3))))
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (pow i 3))))) into (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (pow i 3))))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (pow i 3))))))) into (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (pow i 3))))))
* [misc]backup-simplify:  Simplify (+ 0 (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (pow i 3))))))) into (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (pow i 3))))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (pow i 3))))))) into (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (pow i 3))))))
* [misc]backup-simplify:  Simplify (+ 0 (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (pow i 3))))))) into (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (pow i 3))))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (pow i 3))))))) into (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (pow i 3))))))
* [misc]backup-simplify:  Simplify (+ 0 (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (pow i 3))))))) into (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (pow i 3))))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (pow i 3))))))) into (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (pow i 3))))))
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (pow i 4))) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (pow i 3))))))) into (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (pow i 4))) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (pow i 3))))))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (pow i 4))) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (pow i 3))))))))) into (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (pow i 4))) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (pow i 3))))))))
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (pow i 4))) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (pow i 3))))))))) into (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (pow i 4))) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (pow i 3))))))))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (pow i 4))) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (pow i 3))))))))))) into (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (pow i 4))) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (pow i 3))))))))))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (pow i 4))) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (pow i 3)))))))))) in i
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i))) (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (pow i 4))) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (pow i 3))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i))) in i
* [misc]taylor:  Taking taylor expansion of +nan.0 in i
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (sqr i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 1) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (pow i 4))) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (pow i 3)))))))) in i
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (pow i 4))) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (pow i 3))))))) in i
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (pow i 4))) in i
* [misc]taylor:  Taking taylor expansion of +nan.0 in i
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (pow i 4)) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (pow i 4) in i
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 1) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (pow i 3)))))) in i
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (pow i 3))))) in i
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i))) in i
* [misc]taylor:  Taking taylor expansion of +nan.0 in i
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i)) in i
* [misc]taylor:  Taking taylor expansion of (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ 1 i) 2 (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (sqr i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 i) 2 (/ 1 alpha))) into (sqr (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) into (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) 1) into (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (pow i 3)))) in i
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (pow i 3))) in i
* [misc]taylor:  Taking taylor expansion of +nan.0 in i
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (pow i 3)) in i
* [misc]taylor:  Taking taylor expansion of (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (pow i 3) in i
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) into (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) 1) into (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma (/ 1 i) 2 (/ 1 alpha)) 0) (+ (* 0 0) (* 0 (fma (/ 1 i) 2 (/ 1 alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma (/ 1 i) 2 (/ 1 alpha)) 0) (* 0 (fma (/ 1 i) 2 (/ 1 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 0) (+ (* 0 0) (* 0 (sqr (fma (/ 1 i) 2 (/ 1 alpha)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 0) (* 0 (sqr (fma (/ 1 i) 2 (/ 1 alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (fma (/ 1 i) 2 (/ 1 alpha)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 0) (* 0 (fma (/ 1 i) 2 (/ 1 alpha)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 0) (+ (* 0 0) (* 0 (fma (/ 1 i) 2 (/ 1 alpha))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* i 0) (+ (* 0 0) (+ (* 0 0) (* 0 i)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (sqr i))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqr i)) (+ (* (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) (/ 0 (sqr i))) (* 0 (/ 0 (sqr i))))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 0) (* 0 (fma (/ 1 i) 2 (/ 1 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ (* i 0) (* 0 i)) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqr i)) (+ (* (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i)) (/ 0 (sqr i))))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (* 0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow i 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (* 0 (log i))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 3 (log i))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (pow i 3)) (+ (* (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (pow i 3)) (/ 0 (pow i 3))))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (* 0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (pow i 3)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]approximate:  Taking taylor expansion of (sqr (/ (* (sqrt (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))))) (sqrt (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))))) (sqrt (- (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) 1.0)))) in (beta alpha i) around 0
* [misc]taylor:  Taking taylor expansion of (sqr (/ (* (sqrt (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))))) (sqrt (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))))) (sqrt (- (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (/ (* (sqrt (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))))) (sqrt (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))))) (sqrt (- (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of (* (sqrt (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))))) (sqrt (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))))) in i
* [misc]taylor:  Taking taylor expansion of (sqrt (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))))) in i
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) in i
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) in i
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (/ 1 (- alpha))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in i
* [misc]taylor:  Taking taylor expansion of (- beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in i
* [misc]taylor:  Taking taylor expansion of (- alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in i
* [misc]taylor:  Taking taylor expansion of (- i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in i
* [misc]taylor:  Taking taylor expansion of (- beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (+ (/ -1 beta) (fma (/ -1 i) 2 (/ -1 alpha))) into (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))
* [misc]backup-simplify:  Simplify (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) into (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (* (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) into (* -1 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ (* -1 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))) (* 2 (sqrt 0))) into (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))
* [misc]taylor:  Taking taylor expansion of (sqrt (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) in i
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in i
* [misc]taylor:  Taking taylor expansion of (- i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in i
* [misc]taylor:  Taking taylor expansion of (- beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (+ (/ -1 beta) (fma (/ -1 i) 2 (/ -1 alpha))) into (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))
* [misc]backup-simplify:  Simplify (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) into (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* 2 (sqrt 0))) into (/ +nan.0 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))
* [misc]taylor:  Taking taylor expansion of (sqrt (- (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in i
* [misc]taylor:  Taking taylor expansion of (- beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (+ (/ -1 beta) (fma (/ -1 i) 2 (/ -1 alpha))) into (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))
* [misc]backup-simplify:  Simplify (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) into (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (- 1.0)) into (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0))
* [misc]backup-simplify:  Simplify (sqrt (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0))) into (sqrt (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0)))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 beta) (/ 0 (- beta))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) 0) (* 0 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0))))) into 0
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 (/ +nan.0 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))) (* (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))) 0)) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 beta) (/ 0 (- beta))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (+ (* (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (/ 0 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (sqr (/ +nan.0 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))) (+)) (* 2 0)) into (/ +nan.0 (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))
* [misc]backup-simplify:  Simplify (+ (/ -1 beta) (/ -1 alpha)) into (- (+ (/ 1 beta) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (- (+ (/ 1 beta) (/ 1 alpha))) 0) into (- (+ (/ 1 beta) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 beta) (/ 0 (- beta))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ (- (+ (/ 1 beta) (/ 1 alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (+ (* (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (/ 0 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))) into (- (+ (/ 1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) alpha)) (/ 1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) beta))))
* [misc]backup-simplify:  Simplify (+ (* (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) 0) (* (- (+ (/ 1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) alpha)) (/ 1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) beta)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) into (- (+ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) beta)) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) alpha))))
* [misc]backup-simplify:  Simplify (/ (- (- (+ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) beta)) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) alpha)))) (sqr (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) (+)) (* 2 0)) into (* +nan.0 (+ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) alpha)) (- (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) beta)) (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))))))
* [misc]backup-simplify:  Simplify (+ (* 0 (/ +nan.0 (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) (+ (* (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))) (/ +nan.0 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))) (* (* +nan.0 (+ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) alpha)) (- (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) beta)) (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))))) 0))) into (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))))
* [misc]backup-simplify:  Simplify (/ (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))) (sqrt (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0)))) into (* +nan.0 (* (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))) (sqrt (/ 1 (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0))))))
* [misc]taylor:  Taking taylor expansion of (sqr (/ (* (sqrt (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))))) (sqrt (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))))) (sqrt (- (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (* (sqrt (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))))) (sqrt (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))))) (sqrt (- (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (sqrt (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))))) (sqrt (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqrt (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (/ 1 (- alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (- alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in alpha
* [misc]taylor:  Taking taylor expansion of (- i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (+ (/ -1 beta) (fma (/ -1 i) 2 (/ -1 alpha))) into (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))
* [misc]backup-simplify:  Simplify (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) into (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (* (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) into (* -1 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ (* -1 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))) (* 2 (sqrt 0))) into (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))
* [misc]taylor:  Taking taylor expansion of (sqrt (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in alpha
* [misc]taylor:  Taking taylor expansion of (- i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (+ (/ -1 beta) (fma (/ -1 i) 2 (/ -1 alpha))) into (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))
* [misc]backup-simplify:  Simplify (/ (/ -1 i) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) into (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))
* [misc]backup-simplify:  Simplify (sqrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) into (sqrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i)))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 i) (/ 0 (- i))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 beta) (/ 0 (- beta))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (+ (* (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i)) (/ 0 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))))) into 0
* [misc]taylor:  Taking taylor expansion of (sqrt (- (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (- (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (+ (/ -1 beta) (fma (/ -1 i) 2 (/ -1 alpha))) into (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))
* [misc]backup-simplify:  Simplify (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) into (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (- 1.0)) into (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0))
* [misc]backup-simplify:  Simplify (sqrt (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0))) into (sqrt (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0)))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 beta) (/ 0 (- beta))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) 0) (* 0 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0))))) into 0
* [misc]backup-simplify:  Simplify (* 0 (sqrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))) (sqrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))))) into (- (* +nan.0 (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i)))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))
* [misc]backup-simplify:  Simplify (/ (- (* +nan.0 (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i)))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) (sqrt (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0)))) into (* +nan.0 (* (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i)))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (sqrt (/ 1 (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0))))))
* [misc]taylor:  Taking taylor expansion of (sqr (/ (* (sqrt (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))))) (sqrt (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))))) (sqrt (- (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) 1.0)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (* (sqrt (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))))) (sqrt (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))))) (sqrt (- (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) 1.0))) in beta
* [misc]taylor:  Taking taylor expansion of (* (sqrt (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))))) (sqrt (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))))) in beta
* [misc]taylor:  Taking taylor expansion of (sqrt (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))))) in beta
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (/ 1 (- alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in beta
* [misc]taylor:  Taking taylor expansion of (- i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (/ -1 -1) into 1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (* 1 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) into (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (/ -1 alpha)) into (- (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (- (/ 1 alpha)) (/ -1 i)) into (- (+ (/ 1 i) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (fma (/ -1 i) 2 (/ -1 alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (- (/ (- (+ (/ 1 i) (/ 1 alpha))) -1) (+ (* 1 (/ (fma (/ -1 i) 2 (/ -1 alpha)) -1)))) into (+ (fma (/ -1 i) 2 (/ -1 alpha)) (+ (/ 1 alpha) (/ 1 i)))
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* (+ (fma (/ -1 i) 2 (/ -1 alpha)) (+ (/ 1 alpha) (/ 1 i))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) into (+ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (+ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) alpha)))
* [misc]backup-simplify:  Simplify (/ (+ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (+ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) alpha))) (* 2 (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))) into (* 1/2 (* (+ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i) (+ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) alpha))) (sqrt (/ 1 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))))
* [misc]taylor:  Taking taylor expansion of (sqrt (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in beta
* [misc]taylor:  Taking taylor expansion of (- i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (/ (/ -1 i) -1) into (/ 1 i)
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ (/ 1 i) (* 2 (sqrt 0))) into (/ +nan.0 i)
* [misc]taylor:  Taking taylor expansion of (sqrt (- (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) 1.0)) in beta
* [misc]taylor:  Taking taylor expansion of (- (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) 1.0) in beta
* [misc]taylor:  Taking taylor expansion of (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (fma (/ -1 i) 2 (/ -1 alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (+ (* -1 (fma (/ -1 i) 2 (/ -1 alpha))) (* (fma (/ -1 i) 2 (/ -1 alpha)) -1)) into (- (* 2 (fma (/ -1 i) 2 (/ -1 alpha))))
* [misc]backup-simplify:  Simplify (+ (- (* 2 (fma (/ -1 i) 2 (/ -1 alpha)))) 0) into (- (* 2 (fma (/ -1 i) 2 (/ -1 alpha))))
* [misc]backup-simplify:  Simplify (/ (- (* 2 (fma (/ -1 i) 2 (/ -1 alpha)))) (* 2 (sqrt 1))) into (* -1 (fma (/ -1 i) 2 (/ -1 alpha)))
* [misc]backup-simplify:  Simplify (* (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (/ +nan.0 i)) (* (* 1/2 (* (+ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i) (+ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) alpha))) (sqrt (/ 1 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))) 0)) into (- (* +nan.0 (* (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (/ 1 i))))
* [misc]backup-simplify:  Simplify (/ (- (* +nan.0 (* (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (/ 1 i)))) 1) into (* +nan.0 (* (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (/ 1 i)))
* [misc]taylor:  Taking taylor expansion of (sqr (/ (* (sqrt (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))))) (sqrt (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))))) (sqrt (- (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) 1.0)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (* (sqrt (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))))) (sqrt (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))))) (sqrt (- (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) 1.0))) in beta
* [misc]taylor:  Taking taylor expansion of (* (sqrt (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))))) (sqrt (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))))) in beta
* [misc]taylor:  Taking taylor expansion of (sqrt (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))))) in beta
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (/ 1 (- alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in beta
* [misc]taylor:  Taking taylor expansion of (- i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (/ -1 -1) into 1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (* 1 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) into (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (/ -1 alpha)) into (- (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (- (/ 1 alpha)) (/ -1 i)) into (- (+ (/ 1 i) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (fma (/ -1 i) 2 (/ -1 alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (- (/ (- (+ (/ 1 i) (/ 1 alpha))) -1) (+ (* 1 (/ (fma (/ -1 i) 2 (/ -1 alpha)) -1)))) into (+ (fma (/ -1 i) 2 (/ -1 alpha)) (+ (/ 1 alpha) (/ 1 i)))
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* (+ (fma (/ -1 i) 2 (/ -1 alpha)) (+ (/ 1 alpha) (/ 1 i))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) into (+ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (+ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) alpha)))
* [misc]backup-simplify:  Simplify (/ (+ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (+ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) alpha))) (* 2 (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))) into (* 1/2 (* (+ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i) (+ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) alpha))) (sqrt (/ 1 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))))
* [misc]taylor:  Taking taylor expansion of (sqrt (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in beta
* [misc]taylor:  Taking taylor expansion of (- i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (/ (/ -1 i) -1) into (/ 1 i)
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ (/ 1 i) (* 2 (sqrt 0))) into (/ +nan.0 i)
* [misc]taylor:  Taking taylor expansion of (sqrt (- (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) 1.0)) in beta
* [misc]taylor:  Taking taylor expansion of (- (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) 1.0) in beta
* [misc]taylor:  Taking taylor expansion of (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (sqrt 1) into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (fma (/ -1 i) 2 (/ -1 alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (+ (* -1 (fma (/ -1 i) 2 (/ -1 alpha))) (* (fma (/ -1 i) 2 (/ -1 alpha)) -1)) into (- (* 2 (fma (/ -1 i) 2 (/ -1 alpha))))
* [misc]backup-simplify:  Simplify (+ (- (* 2 (fma (/ -1 i) 2 (/ -1 alpha)))) 0) into (- (* 2 (fma (/ -1 i) 2 (/ -1 alpha))))
* [misc]backup-simplify:  Simplify (/ (- (* 2 (fma (/ -1 i) 2 (/ -1 alpha)))) (* 2 (sqrt 1))) into (* -1 (fma (/ -1 i) 2 (/ -1 alpha)))
* [misc]backup-simplify:  Simplify (* (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (/ +nan.0 i)) (* (* 1/2 (* (+ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i) (+ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) alpha))) (sqrt (/ 1 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))) 0)) into (- (* +nan.0 (* (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (/ 1 i))))
* [misc]backup-simplify:  Simplify (/ (- (* +nan.0 (* (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (/ 1 i)))) 1) into (* +nan.0 (* (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (/ 1 i)))
* [misc]backup-simplify:  Simplify (* (* +nan.0 (* (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (/ 1 i))) (* +nan.0 (* (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (/ 1 i)))) into (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i)))
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i))) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (sqr i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr i)) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i))
* [misc]backup-simplify:  Simplify (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i))) into (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr i)))
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr i))) in i
* [misc]taylor:  Taking taylor expansion of +nan.0 in i
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr i)) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (sqr i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 1) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 i) (/ 0 (- i))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (fma (/ -1 i) 2 (/ -1 alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (- (/ 0 -1) (+ (* (/ 1 i) (/ (fma (/ -1 i) 2 (/ -1 alpha)) -1)))) into (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)
* [misc]backup-simplify:  Simplify (/ (- (/ (fma (/ -1 i) 2 (/ -1 alpha)) i) (sqr (/ +nan.0 i)) (+)) (* 2 0)) into (* +nan.0 (- (/ (fma (/ -1 i) 2 (/ -1 alpha)) i) (* +nan.0 (/ 1 (sqr i)))))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 alpha) (/ 0 (- alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 i) (/ 0 (- i))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 -1) (+ (* 1 (/ 0 -1)) (* (+ (fma (/ -1 i) 2 (/ -1 alpha)) (+ (/ 1 alpha) (/ 1 i))) (/ (fma (/ -1 i) 2 (/ -1 alpha)) -1)))) into (+ (/ (fma (/ -1 i) 2 (/ -1 alpha)) i) (+ (/ (fma (/ -1 i) 2 (/ -1 alpha)) alpha) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))))
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* (+ (fma (/ -1 i) 2 (/ -1 alpha)) (+ (/ 1 alpha) (/ 1 i))) 0) (* (+ (/ (fma (/ -1 i) 2 (/ -1 alpha)) i) (+ (/ (fma (/ -1 i) 2 (/ -1 alpha)) alpha) (sqr (fma (/ -1 i) 2 (/ -1 alpha))))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) into (+ (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i) (+ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) alpha)))
* [misc]backup-simplify:  Simplify (/ (- (+ (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i) (+ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) alpha))) (sqr (* 1/2 (* (+ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i) (+ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) alpha))) (sqrt (/ 1 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))))) (+)) (* 2 (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) into (* 1/2 (* (- (+ (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i) (+ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) alpha))) (+ (* 1/2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (+ (* 1/4 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i))) (+ (* 1/2 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* alpha i))) (+ (* 1/4 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr alpha))) (+ (* 1/4 (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (* 1/2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) alpha)))))))) (sqrt (/ 1 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))))
* [misc]backup-simplify:  Simplify (+ (* (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* +nan.0 (- (/ (fma (/ -1 i) 2 (/ -1 alpha)) i) (* +nan.0 (/ 1 (sqr i)))))) (+ (* (* 1/2 (* (+ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i) (+ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) alpha))) (sqrt (/ 1 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))) (/ +nan.0 i)) (* (* 1/2 (* (- (+ (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i) (+ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) alpha))) (+ (* 1/2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (+ (* 1/4 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i))) (+ (* 1/2 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* alpha i))) (+ (* 1/4 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr alpha))) (+ (* 1/4 (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (* 1/2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) alpha)))))))) (sqrt (/ 1 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))))) 0))) into (- (+ (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) i) (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))) (- (+ (* +nan.0 (* (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (/ 1 (sqr i)))) (- (* +nan.0 (* (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (/ 1 (* alpha i)))))))))
* [misc]backup-simplify:  Simplify (- (/ (- (+ (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) i) (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))) (- (+ (* +nan.0 (* (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (/ 1 (sqr i)))) (- (* +nan.0 (* (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (/ 1 (* alpha i))))))))) 1) (+ (* (* +nan.0 (* (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (/ 1 i))) (/ (* -1 (fma (/ -1 i) 2 (/ -1 alpha))) 1)))) into (- (+ (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) i) (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))) (- (+ (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) i) (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) (- (+ (* +nan.0 (* (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (/ 1 (sqr i)))) (- (* +nan.0 (* (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (/ 1 (* alpha i)))))))))))
* [misc]backup-simplify:  Simplify (+ (* (* +nan.0 (* (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (/ 1 i))) (- (+ (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) i) (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))) (- (+ (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) i) (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) (- (+ (* +nan.0 (* (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (/ 1 (sqr i)))) (- (* +nan.0 (* (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (/ 1 (* alpha i)))))))))))) (* (- (+ (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) i) (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))) (- (+ (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) i) (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) (- (+ (* +nan.0 (* (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (/ 1 (sqr i)))) (- (* +nan.0 (* (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (/ 1 (* alpha i))))))))))) (* +nan.0 (* (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (/ 1 i))))) into (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (pow i 3))) (- (+ (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) (sqr i)) (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* alpha (sqr i)))) (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))))))))))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (pow i 3))) (- (+ (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) (sqr i)) (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* alpha (sqr i)))) (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i)))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (pow i 3))) (- (+ (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) (sqr i)) (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* alpha (sqr i)))) (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (pow i 3))) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (pow i 3)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (pow i 3) in alpha
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log i))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 3 (log i)) in alpha
* [misc]taylor:  Taking taylor expansion of 3 in alpha
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (log i) into (log i)
* [misc]backup-simplify:  Simplify (* 3 (log i)) into (* 3 (log i))
* [misc]backup-simplify:  Simplify (exp (* 3 (log i))) into (pow i 3)
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (pow i 3)) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (pow i 3))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) (sqr i)) (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* alpha (sqr i)))) (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i)))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) (sqr i)) (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* alpha (sqr i)))) (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) (sqr i)) (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) (sqr i)) (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) 2 (/ -1 alpha)) (sqr i)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (sqr i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) 2 (/ -1 alpha)) (sqr i)) into (/ (fma (/ -1 i) 2 (/ -1 alpha)) (sqr i))
* [misc]taylor:  Taking taylor expansion of (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) into (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) into (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))
* [misc]backup-simplify:  Simplify (+ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 0) (* 0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))) into 0
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* alpha (sqr i)))) (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* alpha (sqr i)))) (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* alpha (sqr i)))) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* alpha (sqr i))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (* alpha (sqr i)) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (sqr i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (* 0 (sqr i)) into 0
* [misc]backup-simplify:  Simplify (+ (* i 0) (* 0 i)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 (sqr i))) into (sqr i)
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr i)) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i))
* [misc]taylor:  Taking taylor expansion of (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i)) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (sqr i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i)) into (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))
* [misc]backup-simplify:  Simplify (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (pow i 3))) into (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (pow i 3)))
* [misc]backup-simplify:  Simplify (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) (sqr i)) (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))) into (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) (sqr i)) (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))
* [misc]backup-simplify:  Simplify (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) (sqr i)) (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))) into (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) (sqr i)) (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))))
* [misc]backup-simplify:  Simplify (+ (* i 0) (+ (* 0 0) (* 0 i))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (sqr i)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqr i)) (+ (* (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i)) (/ 0 (sqr i))))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (* 0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i)))) into 0
* [misc]backup-simplify:  Simplify (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) into (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i)))
* [misc]backup-simplify:  Simplify (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i)))) into (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))))
* [misc]backup-simplify:  Simplify (+ 0 (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))))) into (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))))
* [misc]backup-simplify:  Simplify (- (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))))) into (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))))
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) (sqr i)) (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))))) (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))))) into (- (+ (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) (sqr i)) (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))) (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) (sqr i)) (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))) (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))))))) into (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (- (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) (sqr i)) (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))))))))
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (pow i 3))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (- (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) (sqr i)) (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))))))))) into (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) (sqr i)) (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))) (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (pow i 3))))))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) (sqr i)) (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))) (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (pow i 3))))))))) into (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (pow i 3))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (- (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) (sqr i)) (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))))))))))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (pow i 3))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (- (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) (sqr i)) (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (pow i 3))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (- (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) (sqr i)) (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (pow i 3))) in i
* [misc]taylor:  Taking taylor expansion of +nan.0 in i
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (pow i 3)) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (pow i 3) in i
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 1) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (- (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) (sqr i)) (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))))))) in i
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (- (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) (sqr i)) (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) in i
* [misc]taylor:  Taking taylor expansion of +nan.0 in i
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i)) in i
* [misc]taylor:  Taking taylor expansion of (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (sqr i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) 1) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))
* [misc]taylor:  Taking taylor expansion of (- (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) (sqr i)) (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))))) in i
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) (sqr i)) (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))))) in i
* [misc]taylor:  Taking taylor expansion of +nan.0 in i
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) (sqr i)) (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))) in i
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) 2 (/ -1 alpha)) (sqr i)) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (sqr i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) 2 (/ -1 alpha)) 1) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) into (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) into (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))
* [misc]backup-simplify:  Simplify (+ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 0) (* 0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma (/ -1 i) 2 (/ -1 alpha)) 0) (+ (* 0 0) (* 0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma (/ -1 i) 2 (/ -1 alpha)) 0) (* 0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 0) (+ (* 0 0) (* 0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (sqr 0) (+)) (* 2 (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (fma (/ -1 i) 2 (/ -1 alpha)) (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (fma (/ -1 i) 2 (/ -1 alpha)) (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma (/ -1 i) 2 (/ -1 alpha)) 0) (+ (* 0 0) (* 0 (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma (/ -1 i) 2 (/ -1 alpha)) 0) (* 0 (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))) into 0
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))))
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* i 0) (* 0 i)) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqr i)) (+ (* (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i)) (/ 0 (sqr i))))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (* 0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 i) (/ 0 (- i))) (* 0 (/ 0 (- i))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 -1) (+ (* (/ 1 i) (/ 0 -1)) (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) i) (/ (fma (/ -1 i) 2 (/ -1 alpha)) -1)))) into (/ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) i)
* [misc]backup-simplify:  Simplify (/ (- (/ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) i) (+ (* 2 (* (/ +nan.0 i) (* +nan.0 (- (/ (fma (/ -1 i) 2 (/ -1 alpha)) i) (* +nan.0 (/ 1 (sqr i))))))))) (* 2 0)) into (* +nan.0 (- (/ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) i) (+ (* +nan.0 (/ 1 (pow i 3))) (- (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) (sqr i)))))))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 alpha) (/ 0 (- alpha))) (* 0 (/ 0 (- alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 i) (/ 0 (- i))) (* 0 (/ 0 (- i))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 -1) (+ (* 1 (/ 0 -1)) (* (+ (fma (/ -1 i) 2 (/ -1 alpha)) (+ (/ 1 alpha) (/ 1 i))) (/ 0 -1)) (* (+ (/ (fma (/ -1 i) 2 (/ -1 alpha)) i) (+ (/ (fma (/ -1 i) 2 (/ -1 alpha)) alpha) (sqr (fma (/ -1 i) 2 (/ -1 alpha))))) (/ (fma (/ -1 i) 2 (/ -1 alpha)) -1)))) into (+ (/ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) i) (+ (/ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) alpha) (pow (fma (/ -1 i) 2 (/ -1 alpha)) 3)))
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* (+ (fma (/ -1 i) 2 (/ -1 alpha)) (+ (/ 1 alpha) (/ 1 i))) 0) (+ (* (+ (/ (fma (/ -1 i) 2 (/ -1 alpha)) i) (+ (/ (fma (/ -1 i) 2 (/ -1 alpha)) alpha) (sqr (fma (/ -1 i) 2 (/ -1 alpha))))) 0) (* (+ (/ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) i) (+ (/ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) alpha) (pow (fma (/ -1 i) 2 (/ -1 alpha)) 3))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))) into (+ (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) alpha) (+ (* (pow (fma (/ -1 i) 2 (/ -1 alpha)) 3) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)))
* [misc]backup-simplify:  Simplify (/ (- (+ (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) alpha) (+ (* (pow (fma (/ -1 i) 2 (/ -1 alpha)) 3) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i))) (+ (* 2 (* (* 1/2 (* (+ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i) (+ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) alpha))) (sqrt (/ 1 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))) (* 1/2 (* (- (+ (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i) (+ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) alpha))) (+ (* 1/2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (+ (* 1/4 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i))) (+ (* 1/2 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* alpha i))) (+ (* 1/4 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr alpha))) (+ (* 1/4 (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (* 1/2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) alpha)))))))) (sqrt (/ 1 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))))))))) (* 2 (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) into (* 1/2 (* (sqrt (/ 1 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (- (+ (* 1/8 (* (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (/ 1 (pow alpha 3)))) (+ (* 3/8 (* (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (/ 1 (* (sqr alpha) i)))) (+ (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i) (+ (* 3/8 (* (/ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) alpha) (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))))) (+ (* 3/8 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) (sqr alpha)) (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))))) (+ (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) alpha) (+ (* 3/8 (* (/ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) i) (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))))) (+ (* 3/8 (* (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (/ 1 (* alpha (sqr i))))) (+ (* 1/8 (* (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (/ 1 (pow i 3)))) (+ (* 1/8 (* (pow (fma (/ -1 i) 2 (/ -1 alpha)) 3) (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))))) (+ (* 3/4 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) (* alpha i)) (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))))) (+ (* (pow (fma (/ -1 i) 2 (/ -1 alpha)) 3) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* 3/8 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) (sqr i)) (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))))))))))))))))) (+ (* 1/2 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) (sqr i)) (sqrt (/ (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 3) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))) (+ (* (/ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) i) (sqrt (/ (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 3) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) (+ (* (/ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) alpha) (sqrt (/ (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 3) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) (+ (* 1/2 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) (sqr alpha)) (sqrt (/ (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 3) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))) (+ (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) (* alpha i)) (sqrt (/ (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 3) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) (* 1/2 (* (pow (fma (/ -1 i) 2 (/ -1 alpha)) 3) (sqrt (/ (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 3) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))))))))))))
* [misc]backup-simplify:  Simplify (+ (* (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* +nan.0 (- (/ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) i) (+ (* +nan.0 (/ 1 (pow i 3))) (- (* +nan.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) (sqr i)))))))) (+ (* (* 1/2 (* (+ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i) (+ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) alpha))) (sqrt (/ 1 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))) (* +nan.0 (- (/ (fma (/ -1 i) 2 (/ -1 alpha)) i) (* +nan.0 (/ 1 (sqr i)))))) (+ (* (* 1/2 (* (- (+ (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i) (+ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) alpha))) (+ (* 1/2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (+ (* 1/4 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i))) (+ (* 1/2 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* alpha i))) (+ (* 1/4 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr alpha))) (+ (* 1/4 (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (* 1/2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) alpha)))))))) (sqrt (/ 1 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))))) (/ +nan.0 i)) (* (* 1/2 (* (sqrt (/ 1 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (- (+ (* 1/8 (* (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (/ 1 (pow alpha 3)))) (+ (* 3/8 (* (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (/ 1 (* (sqr alpha) i)))) (+ (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i) (+ (* 3/8 (* (/ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) alpha) (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))))) (+ (* 3/8 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) (sqr alpha)) (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))))) (+ (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) alpha) (+ (* 3/8 (* (/ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) i) (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))))) (+ (* 3/8 (* (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (/ 1 (* alpha (sqr i))))) (+ (* 1/8 (* (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (/ 1 (pow i 3)))) (+ (* 1/8 (* (pow (fma (/ -1 i) 2 (/ -1 alpha)) 3) (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))))) (+ (* 3/4 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) (* alpha i)) (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))))) (+ (* (pow (fma (/ -1 i) 2 (/ -1 alpha)) 3) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* 3/8 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) (sqr i)) (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))))))))))))))))) (+ (* 1/2 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) (sqr i)) (sqrt (/ (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 3) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))) (+ (* (/ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) i) (sqrt (/ (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 3) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) (+ (* (/ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) alpha) (sqrt (/ (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 3) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) (+ (* 1/2 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) (sqr alpha)) (sqrt (/ (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 3) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))) (+ (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) (* alpha i)) (sqrt (/ (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 3) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) (* 1/2 (* (pow (fma (/ -1 i) 2 (/ -1 alpha)) 3) (sqrt (/ (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 3) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))))))))))) 0)))) into (- (+ (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) (sqr i)) (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) (- (+ (* +nan.0 (* (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (/ 1 (* (sqr alpha) i)))) (- (+ (* +nan.0 (* (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (/ 1 (pow i 3)))) (- (+ (* +nan.0 (* (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i) (sqrt (/ 1 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))) (- (+ (* +nan.0 (* (/ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) i) (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) (- (+ (* +nan.0 (* (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (/ 1 (* alpha (sqr i))))) (- (+ (* +nan.0 (* (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* alpha i)) (sqrt (/ 1 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))) (- (+ (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) (* alpha i)) (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))) (- (+ (* +nan.0 (* (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (/ 1 (* alpha (sqr i))))) (- (+ (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) (* alpha i)) (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) (- (+ (* +nan.0 (* (/ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) i) (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))) (- (+ (* +nan.0 (* (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (/ 1 (pow i 3)))) (- (+ (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) (sqr i)) (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))) (- (* +nan.0 (* (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i)) (sqrt (/ 1 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))))))))))))))))))))))))))))))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) 2 (/ -1 alpha))) (* 0 -1))) into (sqr (fma (/ -1 i) 2 (/ -1 alpha)))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (- 1.0)) into (- (sqr (fma (/ -1 i) 2 (/ -1 alpha))) 1.0)
* [misc]backup-simplify:  Simplify (/ (- (- (sqr (fma (/ -1 i) 2 (/ -1 alpha))) 1.0) (sqr (* -1 (fma (/ -1 i) 2 (/ -1 alpha)))) (+)) (* 2 1)) into -0.5
* [misc]backup-simplify:  Simplify (- (/ (- (+ (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) (sqr i)) (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) (- (+ (* +nan.0 (* (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (/ 1 (* (sqr alpha) i)))) (- (+ (* +nan.0 (* (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (/ 1 (pow i 3)))) (- (+ (* +nan.0 (* (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i) (sqrt (/ 1 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))) (- (+ (* +nan.0 (* (/ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) i) (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) (- (+ (* +nan.0 (* (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (/ 1 (* alpha (sqr i))))) (- (+ (* +nan.0 (* (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* alpha i)) (sqrt (/ 1 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))) (- (+ (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) (* alpha i)) (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))) (- (+ (* +nan.0 (* (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (/ 1 (* alpha (sqr i))))) (- (+ (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) (* alpha i)) (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) (- (+ (* +nan.0 (* (/ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) i) (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))) (- (+ (* +nan.0 (* (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (/ 1 (pow i 3)))) (- (+ (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) (sqr i)) (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))) (- (* +nan.0 (* (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i)) (sqrt (/ 1 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))))))))))))))))))))))))))))))) 1) (+ (* (* +nan.0 (* (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (/ 1 i))) (/ -0.5 1)) (* (- (+ (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) i) (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))) (- (+ (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) i) (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) (- (+ (* +nan.0 (* (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (/ 1 (sqr i)))) (- (* +nan.0 (* (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (/ 1 (* alpha i))))))))))) (/ (* -1 (fma (/ -1 i) 2 (/ -1 alpha))) 1)))) into (- (+ (* +nan.0 (* (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (/ 1 (* (sqr alpha) i)))) (- (+ (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) (* alpha i)) (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))) (- (+ (* +nan.0 (* (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (/ 1 (* alpha (sqr i))))) (- (+ (* +nan.0 (* (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (/ 1 (pow i 3)))) (- (+ (* +nan.0 (* (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (/ 1 i))) (- (+ (* +nan.0 (* (/ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) i) (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) (- (+ (* +nan.0 (* (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i) (sqrt (/ 1 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))))) (- (+ (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) (sqr i)) (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) (- (+ (* +nan.0 (* (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i)) (sqrt (/ 1 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))))) (- (+ (* +nan.0 (* (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* alpha i)) (sqrt (/ 1 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))))) (- (+ (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) (* alpha i)) (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) (- (+ (* +nan.0 (* (/ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) i) (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))) (- (+ (* +nan.0 (* (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (/ 1 (pow i 3)))) (- (+ (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) (sqr i)) (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))) (- (* +nan.0 (* (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (/ 1 (* alpha (sqr i))))))))))))))))))))))))))))))))))
* [misc]backup-simplify:  Simplify (+ (* (* +nan.0 (* (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (/ 1 i))) (- (+ (* +nan.0 (* (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (/ 1 (* (sqr alpha) i)))) (- (+ (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) (* alpha i)) (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))) (- (+ (* +nan.0 (* (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (/ 1 (* alpha (sqr i))))) (- (+ (* +nan.0 (* (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (/ 1 (pow i 3)))) (- (+ (* +nan.0 (* (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (/ 1 i))) (- (+ (* +nan.0 (* (/ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) i) (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) (- (+ (* +nan.0 (* (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i) (sqrt (/ 1 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))))) (- (+ (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) (sqr i)) (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) (- (+ (* +nan.0 (* (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i)) (sqrt (/ 1 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))))) (- (+ (* +nan.0 (* (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* alpha i)) (sqrt (/ 1 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))))) (- (+ (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) (* alpha i)) (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) (- (+ (* +nan.0 (* (/ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) i) (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))) (- (+ (* +nan.0 (* (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (/ 1 (pow i 3)))) (- (+ (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) (sqr i)) (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))) (- (* +nan.0 (* (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (/ 1 (* alpha (sqr i))))))))))))))))))))))))))))))))))) (+ (* (- (+ (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) i) (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))) (- (+ (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) i) (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) (- (+ (* +nan.0 (* (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (/ 1 (sqr i)))) (- (* +nan.0 (* (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (/ 1 (* alpha i))))))))))) (- (+ (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) i) (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))) (- (+ (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) i) (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) (- (+ (* +nan.0 (* (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (/ 1 (sqr i)))) (- (* +nan.0 (* (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (/ 1 (* alpha i)))))))))))) (* (- (+ (* +nan.0 (* (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (/ 1 (* (sqr alpha) i)))) (- (+ (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) (* alpha i)) (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))) (- (+ (* +nan.0 (* (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (/ 1 (* alpha (sqr i))))) (- (+ (* +nan.0 (* (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (/ 1 (pow i 3)))) (- (+ (* +nan.0 (* (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (/ 1 i))) (- (+ (* +nan.0 (* (/ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) i) (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) (- (+ (* +nan.0 (* (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i) (sqrt (/ 1 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))))) (- (+ (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) (sqr i)) (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) (- (+ (* +nan.0 (* (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i)) (sqrt (/ 1 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))))) (- (+ (* +nan.0 (* (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* alpha i)) (sqrt (/ 1 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))))) (- (+ (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) (* alpha i)) (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) (- (+ (* +nan.0 (* (/ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) i) (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))) (- (+ (* +nan.0 (* (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (/ 1 (pow i 3)))) (- (+ (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) (sqr i)) (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))) (- (* +nan.0 (* (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (/ 1 (* alpha (sqr i)))))))))))))))))))))))))))))))))) (* +nan.0 (* (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (/ 1 i)))))) into (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* (sqr alpha) (sqr i)))) (- (+ (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) (pow i 3)) (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))) (- (+ (* +nan.0 (* (/ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr i)) (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))))) (- (+ (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) (* alpha (sqr i))) (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* alpha (pow i 3)))) (- (+ (* +nan.0 (* (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (/ 1 (pow i 4)))) (- (+ (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) (* alpha (sqr i))) (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (pow i 3))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* alpha (sqr i)))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (pow i 4))) (- (+ (* +nan.0 (* (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (/ 1 (* alpha (pow i 3))))) (- (+ (* +nan.0 (* (/ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr i)) (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))) (- (+ (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) (pow i 3)) (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))))) (- (+ (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) (* alpha (sqr i))) (sqrt (/ (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 3) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))) (- (+ (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) (pow i 3)) (sqrt (/ (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 3) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))) (- (+ (* +nan.0 (* (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (/ 1 (sqr i)))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (* (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (/ 1 (* (sqr alpha) (sqr i))))) (- (+ (* +nan.0 (* (/ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr i)) (sqrt (/ (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 3) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))) (- (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))))))))))))))))))))))))))))))))))))))))))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* (sqr alpha) (sqr i)))) (- (+ (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) (pow i 3)) (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))) (- (+ (* +nan.0 (* (/ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr i)) (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))))) (- (+ (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) (* alpha (sqr i))) (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* alpha (pow i 3)))) (- (+ (* +nan.0 (* (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (/ 1 (pow i 4)))) (- (+ (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) (* alpha (sqr i))) (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (pow i 3))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* alpha (sqr i)))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (pow i 4))) (- (+ (* +nan.0 (* (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (/ 1 (* alpha (pow i 3))))) (- (+ (* +nan.0 (* (/ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr i)) (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))) (- (+ (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) (pow i 3)) (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))))) (- (+ (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) (* alpha (sqr i))) (sqrt (/ (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 3) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))) (- (+ (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) (pow i 3)) (sqrt (/ (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 3) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))) (- (+ (* +nan.0 (* (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (/ 1 (sqr i)))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (* (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (/ 1 (* (sqr alpha) (sqr i))))) (- (+ (* +nan.0 (* (/ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr i)) (sqrt (/ (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 3) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))) (- (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i)))))))))))))))))))))))))))))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* (sqr alpha) (sqr i)))) (- (+ (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) (pow i 3)) (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))) (- (+ (* +nan.0 (* (/ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr i)) (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))))) (- (+ (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) (* alpha (sqr i))) (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* alpha (pow i 3)))) (- (+ (* +nan.0 (* (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (/ 1 (pow i 4)))) (- (+ (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) (* alpha (sqr i))) (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (pow i 3))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* alpha (sqr i)))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (pow i 4))) (- (+ (* +nan.0 (* (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (/ 1 (* alpha (pow i 3))))) (- (+ (* +nan.0 (* (/ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr i)) (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))) (- (+ (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) (pow i 3)) (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))))) (- (+ (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) (* alpha (sqr i))) (sqrt (/ (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 3) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))) (- (+ (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) (pow i 3)) (sqrt (/ (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 3) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))) (- (+ (* +nan.0 (* (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (/ 1 (sqr i)))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (* (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (/ 1 (* (sqr alpha) (sqr i))))) (- (+ (* +nan.0 (* (/ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr i)) (sqrt (/ (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 3) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))) (- (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))))))))))))))))))))))))))))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* (sqr alpha) (sqr i)))) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* (sqr alpha) (sqr i))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (* (sqr alpha) (sqr i)) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (sqr i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (* 0 (sqr i)) into 0
* [misc]backup-simplify:  Simplify (+ (* i 0) (* 0 i)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 0 (sqr i))) into 0
* [misc]backup-simplify:  Simplify (+ (* i 0) (+ (* 0 0) (* 0 i))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 0 0) (* 1 (sqr i)))) into (sqr i)
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr i)) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) (pow i 3)) (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))) (- (+ (* +nan.0 (* (/ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr i)) (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))))) (- (+ (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) (* alpha (sqr i))) (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* alpha (pow i 3)))) (- (+ (* +nan.0 (* (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (/ 1 (pow i 4)))) (- (+ (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) (* alpha (sqr i))) (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (pow i 3))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* alpha (sqr i)))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (pow i 4))) (- (+ (* +nan.0 (* (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (/ 1 (* alpha (pow i 3))))) (- (+ (* +nan.0 (* (/ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr i)) (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))) (- (+ (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) (pow i 3)) (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))))) (- (+ (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) (* alpha (sqr i))) (sqrt (/ (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 3) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))) (- (+ (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) (pow i 3)) (sqrt (/ (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 3) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))) (- (+ (* +nan.0 (* (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (/ 1 (sqr i)))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (* (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (/ 1 (* (sqr alpha) (sqr i))))) (- (+ (* +nan.0 (* (/ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr i)) (sqrt (/ (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 3) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))) (- (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i)))))))))))))))))))))))))))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) (pow i 3)) (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))) (- (+ (* +nan.0 (* (/ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr i)) (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))))) (- (+ (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) (* alpha (sqr i))) (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* alpha (pow i 3)))) (- (+ (* +nan.0 (* (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (/ 1 (pow i 4)))) (- (+ (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) (* alpha (sqr i))) (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (pow i 3))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* alpha (sqr i)))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (pow i 4))) (- (+ (* +nan.0 (* (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (/ 1 (* alpha (pow i 3))))) (- (+ (* +nan.0 (* (/ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr i)) (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))) (- (+ (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) (pow i 3)) (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))))) (- (+ (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) (* alpha (sqr i))) (sqrt (/ (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 3) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))) (- (+ (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) (pow i 3)) (sqrt (/ (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 3) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))) (- (+ (* +nan.0 (* (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (/ 1 (sqr i)))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (* (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (/ 1 (* (sqr alpha) (sqr i))))) (- (+ (* +nan.0 (* (/ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr i)) (sqrt (/ (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 3) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))) (- (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))))))))))))))))))))))))))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) (pow i 3)) (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) (pow i 3)) (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) 2 (/ -1 alpha)) (pow i 3)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (pow i 3) in alpha
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log i))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 3 (log i)) in alpha
* [misc]taylor:  Taking taylor expansion of 3 in alpha
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (log i) into (log i)
* [misc]backup-simplify:  Simplify (* 3 (log i)) into (* 3 (log i))
* [misc]backup-simplify:  Simplify (exp (* 3 (log i))) into (pow i 3)
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) 2 (/ -1 alpha)) (pow i 3)) into (/ (fma (/ -1 i) 2 (/ -1 alpha)) (pow i 3))
* [misc]taylor:  Taking taylor expansion of (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) into (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) into (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))
* [misc]backup-simplify:  Simplify (+ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 0) (* 0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))) into 0
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (* (/ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr i)) (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))))) (- (+ (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) (* alpha (sqr i))) (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* alpha (pow i 3)))) (- (+ (* +nan.0 (* (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (/ 1 (pow i 4)))) (- (+ (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) (* alpha (sqr i))) (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (pow i 3))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* alpha (sqr i)))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (pow i 4))) (- (+ (* +nan.0 (* (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (/ 1 (* alpha (pow i 3))))) (- (+ (* +nan.0 (* (/ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr i)) (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))) (- (+ (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) (pow i 3)) (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))))) (- (+ (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) (* alpha (sqr i))) (sqrt (/ (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 3) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))) (- (+ (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) (pow i 3)) (sqrt (/ (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 3) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))) (- (+ (* +nan.0 (* (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (/ 1 (sqr i)))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (* (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (/ 1 (* (sqr alpha) (sqr i))))) (- (+ (* +nan.0 (* (/ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr i)) (sqrt (/ (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 3) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))) (- (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i)))))))))))))))))))))))))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (* (/ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr i)) (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))))) (- (+ (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) (* alpha (sqr i))) (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* alpha (pow i 3)))) (- (+ (* +nan.0 (* (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (/ 1 (pow i 4)))) (- (+ (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) (* alpha (sqr i))) (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (pow i 3))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* alpha (sqr i)))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (pow i 4))) (- (+ (* +nan.0 (* (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (/ 1 (* alpha (pow i 3))))) (- (+ (* +nan.0 (* (/ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr i)) (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))) (- (+ (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) (pow i 3)) (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))))) (- (+ (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) (* alpha (sqr i))) (sqrt (/ (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 3) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))) (- (+ (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) (pow i 3)) (sqrt (/ (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 3) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))) (- (+ (* +nan.0 (* (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (/ 1 (sqr i)))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (* (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (/ 1 (* (sqr alpha) (sqr i))))) (- (+ (* +nan.0 (* (/ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr i)) (sqrt (/ (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 3) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))) (- (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))))))))))))))))))))))))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (* (/ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr i)) (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))))) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (* (/ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr i)) (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr i)) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ -1 i) 2 (/ -1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (sqr i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) 2 (/ -1 alpha))) into (sqr (fma (/ -1 i) 2 (/ -1 alpha)))
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (/ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr i)) into (/ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr i))
* [misc]taylor:  Taking taylor expansion of (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) into (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) into (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))
* [misc]backup-simplify:  Simplify (+ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 0) (* 0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))))) into 0
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) (* alpha (sqr i))) (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* alpha (pow i 3)))) (- (+ (* +nan.0 (* (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (/ 1 (pow i 4)))) (- (+ (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) (* alpha (sqr i))) (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (pow i 3))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* alpha (sqr i)))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (pow i 4))) (- (+ (* +nan.0 (* (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (/ 1 (* alpha (pow i 3))))) (- (+ (* +nan.0 (* (/ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr i)) (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))) (- (+ (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) (pow i 3)) (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))))) (- (+ (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) (* alpha (sqr i))) (sqrt (/ (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 3) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))) (- (+ (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) (pow i 3)) (sqrt (/ (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 3) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))) (- (+ (* +nan.0 (* (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (/ 1 (sqr i)))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (* (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (/ 1 (* (sqr alpha) (sqr i))))) (- (+ (* +nan.0 (* (/ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr i)) (sqrt (/ (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 3) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))) (- (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i)))))))))))))))))))))))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) (* alpha (sqr i))) (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* alpha (pow i 3)))) (- (+ (* +nan.0 (* (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (/ 1 (pow i 4)))) (- (+ (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) (* alpha (sqr i))) (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (pow i 3))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* alpha (sqr i)))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (pow i 4))) (- (+ (* +nan.0 (* (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (/ 1 (* alpha (pow i 3))))) (- (+ (* +nan.0 (* (/ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr i)) (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))) (- (+ (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) (pow i 3)) (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))))) (- (+ (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) (* alpha (sqr i))) (sqrt (/ (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 3) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))) (- (+ (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) (pow i 3)) (sqrt (/ (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 3) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))) (- (+ (* +nan.0 (* (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (/ 1 (sqr i)))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (* (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (/ 1 (* (sqr alpha) (sqr i))))) (- (+ (* +nan.0 (* (/ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr i)) (sqrt (/ (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 3) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))) (- (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))))))))))))))))))))))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) (* alpha (sqr i))) (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) (* alpha (sqr i))) (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) 2 (/ -1 alpha)) (* alpha (sqr i))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (* alpha (sqr i)) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (sqr i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (* 0 (sqr i)) into 0
* [misc]backup-simplify:  Simplify (+ (* i 0) (* 0 i)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 (sqr i))) into (sqr i)
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) 2 (/ -1 alpha)) (sqr i)) into (/ (fma (/ -1 i) 2 (/ -1 alpha)) (sqr i))
* [misc]taylor:  Taking taylor expansion of (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) into (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) into (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))
* [misc]backup-simplify:  Simplify (+ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 0) (* 0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))) into 0
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* alpha (pow i 3)))) (- (+ (* +nan.0 (* (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (/ 1 (pow i 4)))) (- (+ (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) (* alpha (sqr i))) (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (pow i 3))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* alpha (sqr i)))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (pow i 4))) (- (+ (* +nan.0 (* (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (/ 1 (* alpha (pow i 3))))) (- (+ (* +nan.0 (* (/ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr i)) (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))) (- (+ (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) (pow i 3)) (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))))) (- (+ (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) (* alpha (sqr i))) (sqrt (/ (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 3) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))) (- (+ (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) (pow i 3)) (sqrt (/ (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 3) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))) (- (+ (* +nan.0 (* (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (/ 1 (sqr i)))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (* (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (/ 1 (* (sqr alpha) (sqr i))))) (- (+ (* +nan.0 (* (/ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr i)) (sqrt (/ (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 3) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))) (- (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i)))))))))))))))))))))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* alpha (pow i 3)))) (- (+ (* +nan.0 (* (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (/ 1 (pow i 4)))) (- (+ (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) (* alpha (sqr i))) (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (pow i 3))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* alpha (sqr i)))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (pow i 4))) (- (+ (* +nan.0 (* (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (/ 1 (* alpha (pow i 3))))) (- (+ (* +nan.0 (* (/ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr i)) (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))) (- (+ (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) (pow i 3)) (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))))) (- (+ (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) (* alpha (sqr i))) (sqrt (/ (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 3) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))) (- (+ (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) (pow i 3)) (sqrt (/ (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 3) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))) (- (+ (* +nan.0 (* (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (/ 1 (sqr i)))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (* (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (/ 1 (* (sqr alpha) (sqr i))))) (- (+ (* +nan.0 (* (/ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr i)) (sqrt (/ (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 3) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))) (- (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))))))))))))))))))))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* alpha (pow i 3)))) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* alpha (pow i 3))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (* alpha (pow i 3)) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow i 3) in alpha
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log i))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 3 (log i)) in alpha
* [misc]taylor:  Taking taylor expansion of 3 in alpha
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (log i) into (log i)
* [misc]backup-simplify:  Simplify (* 3 (log i)) into (* 3 (log i))
* [misc]backup-simplify:  Simplify (exp (* 3 (log i))) into (pow i 3)
* [misc]backup-simplify:  Simplify (* 0 (pow i 3)) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow i 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (* 0 (log i))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 3 (log i))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 (pow i 3))) into (pow i 3)
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (pow i 3)) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (pow i 3))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (* (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (/ 1 (pow i 4)))) (- (+ (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) (* alpha (sqr i))) (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (pow i 3))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* alpha (sqr i)))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (pow i 4))) (- (+ (* +nan.0 (* (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (/ 1 (* alpha (pow i 3))))) (- (+ (* +nan.0 (* (/ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr i)) (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))) (- (+ (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) (pow i 3)) (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))))) (- (+ (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) (* alpha (sqr i))) (sqrt (/ (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 3) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))) (- (+ (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) (pow i 3)) (sqrt (/ (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 3) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))) (- (+ (* +nan.0 (* (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (/ 1 (sqr i)))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (* (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (/ 1 (* (sqr alpha) (sqr i))))) (- (+ (* +nan.0 (* (/ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr i)) (sqrt (/ (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 3) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))) (- (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i)))))))))))))))))))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (* (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (/ 1 (pow i 4)))) (- (+ (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) (* alpha (sqr i))) (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (pow i 3))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* alpha (sqr i)))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (pow i 4))) (- (+ (* +nan.0 (* (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (/ 1 (* alpha (pow i 3))))) (- (+ (* +nan.0 (* (/ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr i)) (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))) (- (+ (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) (pow i 3)) (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))))) (- (+ (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) (* alpha (sqr i))) (sqrt (/ (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 3) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))) (- (+ (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) (pow i 3)) (sqrt (/ (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 3) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))) (- (+ (* +nan.0 (* (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (/ 1 (sqr i)))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (* (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (/ 1 (* (sqr alpha) (sqr i))))) (- (+ (* +nan.0 (* (/ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr i)) (sqrt (/ (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 3) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))) (- (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))))))))))))))))))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (* (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (/ 1 (pow i 4)))) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (* (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (/ 1 (pow i 4))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) into (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) into (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))
* [misc]backup-simplify:  Simplify (+ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 0) (* 0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))) into 0
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow i 4)) in alpha
* [misc]taylor:  Taking taylor expansion of (pow i 4) in alpha
* [misc]taylor:  Taking taylor expansion of (exp (* 4 (log i))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 4 (log i)) in alpha
* [misc]taylor:  Taking taylor expansion of 4 in alpha
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (log i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (log i) into (log i)
* [misc]backup-simplify:  Simplify (* 4 (log i)) into (* 4 (log i))
* [misc]backup-simplify:  Simplify (exp (* 4 (log i))) into (pow i 4)
* [misc]backup-simplify:  Simplify (/ 1 (pow i 4)) into (/ 1 (pow i 4))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) (* alpha (sqr i))) (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (pow i 3))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* alpha (sqr i)))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (pow i 4))) (- (+ (* +nan.0 (* (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (/ 1 (* alpha (pow i 3))))) (- (+ (* +nan.0 (* (/ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr i)) (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))) (- (+ (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) (pow i 3)) (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))))) (- (+ (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) (* alpha (sqr i))) (sqrt (/ (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 3) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))) (- (+ (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) (pow i 3)) (sqrt (/ (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 3) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))) (- (+ (* +nan.0 (* (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (/ 1 (sqr i)))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (* (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (/ 1 (* (sqr alpha) (sqr i))))) (- (+ (* +nan.0 (* (/ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr i)) (sqrt (/ (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 3) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))) (- (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i)))))))))))))))))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) (* alpha (sqr i))) (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (pow i 3))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* alpha (sqr i)))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (pow i 4))) (- (+ (* +nan.0 (* (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (/ 1 (* alpha (pow i 3))))) (- (+ (* +nan.0 (* (/ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr i)) (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))) (- (+ (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) (pow i 3)) (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))))) (- (+ (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) (* alpha (sqr i))) (sqrt (/ (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 3) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))) (- (+ (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) (pow i 3)) (sqrt (/ (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 3) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))) (- (+ (* +nan.0 (* (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (/ 1 (sqr i)))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (* (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (/ 1 (* (sqr alpha) (sqr i))))) (- (+ (* +nan.0 (* (/ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr i)) (sqrt (/ (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 3) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))) (- (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))))))))))))))))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) (* alpha (sqr i))) (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))))) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) (* alpha (sqr i))) (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) 2 (/ -1 alpha)) (* alpha (sqr i))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (* alpha (sqr i)) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (sqr i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (* 0 (sqr i)) into 0
* [misc]backup-simplify:  Simplify (+ (* i 0) (* 0 i)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 (sqr i))) into (sqr i)
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) 2 (/ -1 alpha)) (sqr i)) into (/ (fma (/ -1 i) 2 (/ -1 alpha)) (sqr i))
* [misc]taylor:  Taking taylor expansion of (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) into (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) into (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))
* [misc]backup-simplify:  Simplify (+ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 0) (* 0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))))) into 0
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (pow i 3))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* alpha (sqr i)))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (pow i 4))) (- (+ (* +nan.0 (* (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (/ 1 (* alpha (pow i 3))))) (- (+ (* +nan.0 (* (/ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr i)) (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))) (- (+ (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) (pow i 3)) (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))))) (- (+ (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) (* alpha (sqr i))) (sqrt (/ (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 3) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))) (- (+ (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) (pow i 3)) (sqrt (/ (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 3) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))) (- (+ (* +nan.0 (* (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (/ 1 (sqr i)))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (* (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (/ 1 (* (sqr alpha) (sqr i))))) (- (+ (* +nan.0 (* (/ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr i)) (sqrt (/ (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 3) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))) (- (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i)))))))))))))))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (pow i 3))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* alpha (sqr i)))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (pow i 4))) (- (+ (* +nan.0 (* (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (/ 1 (* alpha (pow i 3))))) (- (+ (* +nan.0 (* (/ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr i)) (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))) (- (+ (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) (pow i 3)) (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))))) (- (+ (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) (* alpha (sqr i))) (sqrt (/ (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 3) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))) (- (+ (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) (pow i 3)) (sqrt (/ (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 3) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))) (- (+ (* +nan.0 (* (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (/ 1 (sqr i)))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (* (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (/ 1 (* (sqr alpha) (sqr i))))) (- (+ (* +nan.0 (* (/ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr i)) (sqrt (/ (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 3) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))) (- (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))))))))))))))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (pow i 3))) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (pow i 3)) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (pow i 3) in alpha
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log i))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 3 (log i)) in alpha
* [misc]taylor:  Taking taylor expansion of 3 in alpha
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (log i) into (log i)
* [misc]backup-simplify:  Simplify (* 3 (log i)) into (* 3 (log i))
* [misc]backup-simplify:  Simplify (exp (* 3 (log i))) into (pow i 3)
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (pow i 3)) into (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (pow i 3))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* alpha (sqr i)))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (pow i 4))) (- (+ (* +nan.0 (* (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (/ 1 (* alpha (pow i 3))))) (- (+ (* +nan.0 (* (/ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr i)) (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))) (- (+ (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) (pow i 3)) (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))))) (- (+ (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) (* alpha (sqr i))) (sqrt (/ (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 3) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))) (- (+ (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) (pow i 3)) (sqrt (/ (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 3) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))) (- (+ (* +nan.0 (* (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (/ 1 (sqr i)))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (* (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (/ 1 (* (sqr alpha) (sqr i))))) (- (+ (* +nan.0 (* (/ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr i)) (sqrt (/ (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 3) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))) (- (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i)))))))))))))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* alpha (sqr i)))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (pow i 4))) (- (+ (* +nan.0 (* (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (/ 1 (* alpha (pow i 3))))) (- (+ (* +nan.0 (* (/ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr i)) (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))) (- (+ (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) (pow i 3)) (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))))) (- (+ (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) (* alpha (sqr i))) (sqrt (/ (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 3) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))) (- (+ (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) (pow i 3)) (sqrt (/ (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 3) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))) (- (+ (* +nan.0 (* (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (/ 1 (sqr i)))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (* (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (/ 1 (* (sqr alpha) (sqr i))))) (- (+ (* +nan.0 (* (/ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr i)) (sqrt (/ (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 3) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))) (- (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))))))))))))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* alpha (sqr i)))) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* alpha (sqr i))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (* alpha (sqr i)) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (sqr i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (* 0 (sqr i)) into 0
* [misc]backup-simplify:  Simplify (+ (* i 0) (* 0 i)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 (sqr i))) into (sqr i)
* [misc]backup-simplify:  Simplify (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i)) into (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (pow i 4))) (- (+ (* +nan.0 (* (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (/ 1 (* alpha (pow i 3))))) (- (+ (* +nan.0 (* (/ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr i)) (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))) (- (+ (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) (pow i 3)) (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))))) (- (+ (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) (* alpha (sqr i))) (sqrt (/ (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 3) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))) (- (+ (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) (pow i 3)) (sqrt (/ (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 3) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))) (- (+ (* +nan.0 (* (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (/ 1 (sqr i)))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (* (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (/ 1 (* (sqr alpha) (sqr i))))) (- (+ (* +nan.0 (* (/ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr i)) (sqrt (/ (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 3) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))) (- (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i)))))))))))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (pow i 4))) (- (+ (* +nan.0 (* (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (/ 1 (* alpha (pow i 3))))) (- (+ (* +nan.0 (* (/ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr i)) (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))) (- (+ (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) (pow i 3)) (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))))) (- (+ (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) (* alpha (sqr i))) (sqrt (/ (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 3) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))) (- (+ (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) (pow i 3)) (sqrt (/ (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 3) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))) (- (+ (* +nan.0 (* (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (/ 1 (sqr i)))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (* (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (/ 1 (* (sqr alpha) (sqr i))))) (- (+ (* +nan.0 (* (/ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr i)) (sqrt (/ (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 3) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))) (- (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))))))))))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (pow i 4))) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (pow i 4)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (pow i 4) in alpha
* [misc]taylor:  Taking taylor expansion of (exp (* 4 (log i))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 4 (log i)) in alpha
* [misc]taylor:  Taking taylor expansion of 4 in alpha
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (log i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (log i) into (log i)
* [misc]backup-simplify:  Simplify (* 4 (log i)) into (* 4 (log i))
* [misc]backup-simplify:  Simplify (exp (* 4 (log i))) into (pow i 4)
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (pow i 4)) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (pow i 4))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (* (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (/ 1 (* alpha (pow i 3))))) (- (+ (* +nan.0 (* (/ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr i)) (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))) (- (+ (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) (pow i 3)) (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))))) (- (+ (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) (* alpha (sqr i))) (sqrt (/ (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 3) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))) (- (+ (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) (pow i 3)) (sqrt (/ (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 3) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))) (- (+ (* +nan.0 (* (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (/ 1 (sqr i)))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (* (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (/ 1 (* (sqr alpha) (sqr i))))) (- (+ (* +nan.0 (* (/ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr i)) (sqrt (/ (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 3) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))) (- (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i)))))))))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (* (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (/ 1 (* alpha (pow i 3))))) (- (+ (* +nan.0 (* (/ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr i)) (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))) (- (+ (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) (pow i 3)) (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))))) (- (+ (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) (* alpha (sqr i))) (sqrt (/ (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 3) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))) (- (+ (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) (pow i 3)) (sqrt (/ (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 3) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))) (- (+ (* +nan.0 (* (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (/ 1 (sqr i)))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (* (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (/ 1 (* (sqr alpha) (sqr i))))) (- (+ (* +nan.0 (* (/ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr i)) (sqrt (/ (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 3) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))) (- (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))))))))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (* (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (/ 1 (* alpha (pow i 3))))) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (* (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (/ 1 (* alpha (pow i 3)))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) into (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) into (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))
* [misc]backup-simplify:  Simplify (+ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 0) (* 0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))) into 0
* [misc]taylor:  Taking taylor expansion of (/ 1 (* alpha (pow i 3))) in alpha
* [misc]taylor:  Taking taylor expansion of (* alpha (pow i 3)) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow i 3) in alpha
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log i))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 3 (log i)) in alpha
* [misc]taylor:  Taking taylor expansion of 3 in alpha
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (log i) into (log i)
* [misc]backup-simplify:  Simplify (* 3 (log i)) into (* 3 (log i))
* [misc]backup-simplify:  Simplify (exp (* 3 (log i))) into (pow i 3)
* [misc]backup-simplify:  Simplify (* 0 (pow i 3)) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow i 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (* 0 (log i))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 3 (log i))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 (pow i 3))) into (pow i 3)
* [misc]backup-simplify:  Simplify (/ 1 (pow i 3)) into (/ 1 (pow i 3))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (* (/ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr i)) (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))) (- (+ (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) (pow i 3)) (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))))) (- (+ (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) (* alpha (sqr i))) (sqrt (/ (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 3) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))) (- (+ (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) (pow i 3)) (sqrt (/ (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 3) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))) (- (+ (* +nan.0 (* (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (/ 1 (sqr i)))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (* (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (/ 1 (* (sqr alpha) (sqr i))))) (- (+ (* +nan.0 (* (/ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr i)) (sqrt (/ (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 3) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))) (- (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i)))))))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (* (/ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr i)) (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))) (- (+ (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) (pow i 3)) (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))))) (- (+ (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) (* alpha (sqr i))) (sqrt (/ (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 3) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))) (- (+ (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) (pow i 3)) (sqrt (/ (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 3) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))) (- (+ (* +nan.0 (* (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (/ 1 (sqr i)))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (* (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (/ 1 (* (sqr alpha) (sqr i))))) (- (+ (* +nan.0 (* (/ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr i)) (sqrt (/ (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 3) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))) (- (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))))))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (* (/ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr i)) (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (* (/ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr i)) (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr i)) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ -1 i) 2 (/ -1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (sqr i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) 2 (/ -1 alpha))) into (sqr (fma (/ -1 i) 2 (/ -1 alpha)))
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (/ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr i)) into (/ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr i))
* [misc]taylor:  Taking taylor expansion of (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) into (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) into (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))
* [misc]backup-simplify:  Simplify (+ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 0) (* 0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))) into 0
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) (pow i 3)) (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))))) (- (+ (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) (* alpha (sqr i))) (sqrt (/ (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 3) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))) (- (+ (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) (pow i 3)) (sqrt (/ (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 3) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))) (- (+ (* +nan.0 (* (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (/ 1 (sqr i)))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (* (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (/ 1 (* (sqr alpha) (sqr i))))) (- (+ (* +nan.0 (* (/ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr i)) (sqrt (/ (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 3) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))) (- (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i)))))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) (pow i 3)) (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))))) (- (+ (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) (* alpha (sqr i))) (sqrt (/ (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 3) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))) (- (+ (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) (pow i 3)) (sqrt (/ (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 3) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))) (- (+ (* +nan.0 (* (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (/ 1 (sqr i)))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (* (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (/ 1 (* (sqr alpha) (sqr i))))) (- (+ (* +nan.0 (* (/ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr i)) (sqrt (/ (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 3) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))) (- (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) (pow i 3)) (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))))) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) (pow i 3)) (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) 2 (/ -1 alpha)) (pow i 3)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (pow i 3) in alpha
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log i))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 3 (log i)) in alpha
* [misc]taylor:  Taking taylor expansion of 3 in alpha
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (log i) into (log i)
* [misc]backup-simplify:  Simplify (* 3 (log i)) into (* 3 (log i))
* [misc]backup-simplify:  Simplify (exp (* 3 (log i))) into (pow i 3)
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) 2 (/ -1 alpha)) (pow i 3)) into (/ (fma (/ -1 i) 2 (/ -1 alpha)) (pow i 3))
* [misc]taylor:  Taking taylor expansion of (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) into (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) into (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))
* [misc]backup-simplify:  Simplify (+ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 0) (* 0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))))) into 0
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) (* alpha (sqr i))) (sqrt (/ (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 3) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))) (- (+ (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) (pow i 3)) (sqrt (/ (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 3) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))) (- (+ (* +nan.0 (* (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (/ 1 (sqr i)))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (* (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (/ 1 (* (sqr alpha) (sqr i))))) (- (+ (* +nan.0 (* (/ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr i)) (sqrt (/ (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 3) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))) (- (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i)))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) (* alpha (sqr i))) (sqrt (/ (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 3) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))) (- (+ (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) (pow i 3)) (sqrt (/ (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 3) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))) (- (+ (* +nan.0 (* (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (/ 1 (sqr i)))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (* (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (/ 1 (* (sqr alpha) (sqr i))))) (- (+ (* +nan.0 (* (/ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr i)) (sqrt (/ (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 3) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))) (- (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) (* alpha (sqr i))) (sqrt (/ (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 3) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) (* alpha (sqr i))) (sqrt (/ (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 3) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) 2 (/ -1 alpha)) (* alpha (sqr i))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (* alpha (sqr i)) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (sqr i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (* 0 (sqr i)) into 0
* [misc]backup-simplify:  Simplify (+ (* i 0) (* 0 i)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 (sqr i))) into (sqr i)
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) 2 (/ -1 alpha)) (sqr i)) into (/ (fma (/ -1 i) 2 (/ -1 alpha)) (sqr i))
* [misc]taylor:  Taking taylor expansion of (sqrt (/ (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 3) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 3) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 3) in alpha
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 3 (log (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of 3 in alpha
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (log (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) into (log (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (* 3 (log (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) into (* 3 (log (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) into (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 3)
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (/ (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 3) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) into (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (sqrt (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (* 0 (log (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 3 (log (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (+ (* (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (/ 0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))) into 0
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) (pow i 3)) (sqrt (/ (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 3) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))) (- (+ (* +nan.0 (* (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (/ 1 (sqr i)))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (* (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (/ 1 (* (sqr alpha) (sqr i))))) (- (+ (* +nan.0 (* (/ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr i)) (sqrt (/ (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 3) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))) (- (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i)))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) (pow i 3)) (sqrt (/ (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 3) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))) (- (+ (* +nan.0 (* (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (/ 1 (sqr i)))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (* (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (/ 1 (* (sqr alpha) (sqr i))))) (- (+ (* +nan.0 (* (/ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr i)) (sqrt (/ (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 3) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))) (- (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) (pow i 3)) (sqrt (/ (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 3) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) (pow i 3)) (sqrt (/ (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 3) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) 2 (/ -1 alpha)) (pow i 3)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (pow i 3) in alpha
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log i))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 3 (log i)) in alpha
* [misc]taylor:  Taking taylor expansion of 3 in alpha
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (log i) into (log i)
* [misc]backup-simplify:  Simplify (* 3 (log i)) into (* 3 (log i))
* [misc]backup-simplify:  Simplify (exp (* 3 (log i))) into (pow i 3)
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) 2 (/ -1 alpha)) (pow i 3)) into (/ (fma (/ -1 i) 2 (/ -1 alpha)) (pow i 3))
* [misc]taylor:  Taking taylor expansion of (sqrt (/ (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 3) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 3) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 3) in alpha
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 3 (log (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of 3 in alpha
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (log (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) into (log (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (* 3 (log (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) into (* 3 (log (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) into (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 3)
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (/ (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 3) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) into (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (sqrt (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (* 0 (log (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 3 (log (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (+ (* (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (/ 0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))) into 0
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (* (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (/ 1 (sqr i)))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (* (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (/ 1 (* (sqr alpha) (sqr i))))) (- (+ (* +nan.0 (* (/ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr i)) (sqrt (/ (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 3) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))) (- (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i)))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (* (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (/ 1 (sqr i)))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (* (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (/ 1 (* (sqr alpha) (sqr i))))) (- (+ (* +nan.0 (* (/ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr i)) (sqrt (/ (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 3) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))) (- (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (* (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (/ 1 (sqr i)))) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (* (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (/ 1 (sqr i))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) into (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) into (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))
* [misc]backup-simplify:  Simplify (+ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 0) (* 0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))) into 0
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqr i)) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (/ 1 (sqr i)) into (/ 1 (sqr i))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (* (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (/ 1 (* (sqr alpha) (sqr i))))) (- (+ (* +nan.0 (* (/ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr i)) (sqrt (/ (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 3) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))) (- (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i)))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (* (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (/ 1 (* (sqr alpha) (sqr i))))) (- (+ (* +nan.0 (* (/ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr i)) (sqrt (/ (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 3) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))) (- (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i)) in alpha
* [misc]taylor:  Taking taylor expansion of (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ -1 i) 2 (/ -1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (sqr i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) 2 (/ -1 alpha))) into (sqr (fma (/ -1 i) 2 (/ -1 alpha)))
* [misc]backup-simplify:  Simplify (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) into (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i)) into (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (* (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (/ 1 (* (sqr alpha) (sqr i))))) (- (+ (* +nan.0 (* (/ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr i)) (sqrt (/ (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 3) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))) (- (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i)))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (* (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (/ 1 (* (sqr alpha) (sqr i))))) (- (+ (* +nan.0 (* (/ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr i)) (sqrt (/ (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 3) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))) (- (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (* (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (/ 1 (* (sqr alpha) (sqr i))))) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (* (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (/ 1 (* (sqr alpha) (sqr i)))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) into (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) into (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))
* [misc]backup-simplify:  Simplify (+ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 0) (* 0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))) into 0
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (sqr alpha) (sqr i))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (sqr alpha) (sqr i)) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (sqr i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (* 0 (sqr i)) into 0
* [misc]backup-simplify:  Simplify (+ (* i 0) (* 0 i)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 0 (sqr i))) into 0
* [misc]backup-simplify:  Simplify (+ (* i 0) (+ (* 0 0) (* 0 i))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 0 0) (* 1 (sqr i)))) into (sqr i)
* [misc]backup-simplify:  Simplify (/ 1 (sqr i)) into (/ 1 (sqr i))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (* (/ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr i)) (sqrt (/ (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 3) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))) (- (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (* (/ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr i)) (sqrt (/ (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 3) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))) (- (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (* (/ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr i)) (sqrt (/ (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 3) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (* (/ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr i)) (sqrt (/ (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 3) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr i)) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ -1 i) 2 (/ -1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (sqr i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) 2 (/ -1 alpha))) into (sqr (fma (/ -1 i) 2 (/ -1 alpha)))
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (/ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr i)) into (/ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr i))
* [misc]taylor:  Taking taylor expansion of (sqrt (/ (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 3) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 3) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 3) in alpha
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 3 (log (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of 3 in alpha
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (log (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) into (log (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (* 3 (log (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) into (* 3 (log (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) into (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 3)
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (/ (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 3) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) into (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (sqrt (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (* 0 (log (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 3 (log (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (+ (* (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (/ 0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))) into 0
* [misc]taylor:  Taking taylor expansion of (- (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) in alpha
* [misc]taylor:  Taking taylor expansion of +nan.0 in alpha
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i)) in alpha
* [misc]taylor:  Taking taylor expansion of (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ -1 i) 2 (/ -1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (sqr i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) 2 (/ -1 alpha))) into (sqr (fma (/ -1 i) 2 (/ -1 alpha)))
* [misc]backup-simplify:  Simplify (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) into (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i)) into (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))
* [misc]backup-simplify:  Simplify (+ (* i 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 i))))) into 0
* [misc]backup-simplify:  Simplify (+ (* i 0) (+ (* 0 0) (+ (* 0 0) (* 0 i)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (sqr i)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 0 0) (+ (* 1 0) (* 0 (sqr i))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqr i)) (+ (* (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i)) (/ 0 (sqr i))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqr i)) (+ (* (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i)) (/ 0 (sqr i))) (* 0 (/ 0 (sqr i))))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i))))) into 0
* [misc]backup-simplify:  Simplify (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) (pow i 3)) (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))) into (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) (pow i 3)) (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))
* [misc]backup-simplify:  Simplify (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) (pow i 3)) (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))) into (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) (pow i 3)) (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))))
* [misc]backup-simplify:  Simplify (* (/ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr i)) (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) into (* (/ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr i)) (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))))
* [misc]backup-simplify:  Simplify (* +nan.0 (* (/ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr i)) (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))))) into (* +nan.0 (* (/ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr i)) (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))))
* [misc]backup-simplify:  Simplify (+ (* i 0) (+ (* 0 0) (* 0 i))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (sqr i)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqr i)) (+ (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) (sqr i)) (/ 0 (sqr i))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) (sqr i)) 0) (* 0 (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))))) into 0
* [misc]backup-simplify:  Simplify (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) (sqr i)) (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))) into (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) (sqr i)) (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (* 0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) (sqr i)) (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow i 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow i 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (+ (* 0 0) (* 0 (log i)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 3 (log i))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (pow i 3)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (pow i 3)) (+ (* (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (pow i 3)) (/ 0 (pow i 3))))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (* 0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (pow i 3)))) into 0
* [misc]backup-simplify:  Simplify (* (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (/ 1 (pow i 4))) into (* (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (/ 1 (pow i 4)))
* [misc]backup-simplify:  Simplify (* +nan.0 (* (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (/ 1 (pow i 4)))) into (* +nan.0 (* (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (/ 1 (pow i 4))))
* [misc]backup-simplify:  Simplify (+ (* i 0) (+ (* 0 0) (* 0 i))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (sqr i)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqr i)) (+ (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) (sqr i)) (/ 0 (sqr i))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) (sqr i)) 0) (* 0 (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))) into 0
* [misc]backup-simplify:  Simplify (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) (sqr i)) (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) into (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) (sqr i)) (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))))
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (* 0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) (sqr i)) (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))))) into 0
* [misc]backup-simplify:  Simplify (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (pow i 3))) into (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (pow i 3)))
* [misc]backup-simplify:  Simplify (+ (* (fma (/ -1 i) 2 (/ -1 alpha)) 0) (* 0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ (* i 0) (+ (* 0 0) (* 0 i))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (sqr i)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqr i)) (+ (* (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i)) (/ 0 (sqr i))))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (* 0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i)))) into 0
* [misc]backup-simplify:  Simplify (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (pow i 4))) into (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (pow i 4)))
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow i 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow i 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (+ (* 0 0) (* 0 (log i)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 3 (log i))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (pow i 3)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (pow i 3)) (/ 0 (pow i 3))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) 0) (* 0 (/ 1 (pow i 3)))) into 0
* [misc]backup-simplify:  Simplify (* (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (/ 1 (pow i 3))) into (* (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (/ 1 (pow i 3)))
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (* 0 (* (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (/ 1 (pow i 3))))) into 0
* [misc]backup-simplify:  Simplify (* (/ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr i)) (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))) into (* (/ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr i)) (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))
* [misc]backup-simplify:  Simplify (* +nan.0 (* (/ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr i)) (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))) into (* +nan.0 (* (/ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr i)) (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))))
* [misc]backup-simplify:  Simplify (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) (pow i 3)) (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) into (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) (pow i 3)) (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))))
* [misc]backup-simplify:  Simplify (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) (pow i 3)) (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))))) into (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) (pow i 3)) (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))))
* [misc]backup-simplify:  Simplify (+ (* i 0) (+ (* 0 0) (* 0 i))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (sqr i)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqr i)) (+ (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) (sqr i)) (/ 0 (sqr i))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) (sqr i)) 0) (* 0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) into 0
* [misc]backup-simplify:  Simplify (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) (sqr i)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) into (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (* 0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i)))) into 0
* [misc]backup-simplify:  Simplify (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) (pow i 3)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) into (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (pow i 3))
* [misc]backup-simplify:  Simplify (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (pow i 3))) into (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (pow i 3)))
* [misc]backup-simplify:  Simplify (* (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (/ 1 (sqr i))) into (* (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (/ 1 (sqr i)))
* [misc]backup-simplify:  Simplify (* +nan.0 (* (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (/ 1 (sqr i)))) into (* +nan.0 (* (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (/ 1 (sqr i))))
* [misc]backup-simplify:  Simplify (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) into (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i)))
* [misc]backup-simplify:  Simplify (+ (* i 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 i))))) into 0
* [misc]backup-simplify:  Simplify (+ (* i 0) (+ (* 0 0) (+ (* 0 0) (* 0 i)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (sqr i)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 0 0) (+ (* 1 0) (* 0 (sqr i))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (sqr i)) (/ 0 (sqr i))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (sqr i)) (/ 0 (sqr i))) (* 0 (/ 0 (sqr i))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 0) (+ (* 0 0) (* 0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (sqr 0) (+)) (* 2 (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) 0) (+ (* 0 0) (* 0 (/ 1 (sqr i))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) 0) (* 0 (/ 1 (sqr i)))) into 0
* [misc]backup-simplify:  Simplify (* (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (/ 1 (sqr i))) into (* (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (/ 1 (sqr i)))
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (* (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (/ 1 (sqr i)))))) into 0
* [misc]backup-simplify:  Simplify (* (/ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr i)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) into (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))
* [misc]backup-simplify:  Simplify (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) into (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i)))
* [misc]backup-simplify:  Simplify (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) into (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i)))
* [misc]backup-simplify:  Simplify (- (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i)))) into (- (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))))
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (- (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))))) into (- (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))))
* [misc]backup-simplify:  Simplify (- (- (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))))) into (- (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))))
* [misc]backup-simplify:  Simplify (+ 0 (- (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))))) into (- (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))))
* [misc]backup-simplify:  Simplify (- (- (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))))) into (- (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))))
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (- (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))))) into (- (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))))
* [misc]backup-simplify:  Simplify (- (- (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))))) into (- (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))))
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (* (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (/ 1 (sqr i)))) (- (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))))) into (- (+ (* +nan.0 (* (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (/ 1 (sqr i)))) (- (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (* (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (/ 1 (sqr i)))) (- (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))))))) into (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (- (* +nan.0 (* (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (/ 1 (sqr i)))))))
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (pow i 3))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (- (* +nan.0 (* (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (/ 1 (sqr i)))))))) into (- (+ (* +nan.0 (* (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (/ 1 (sqr i)))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (pow i 3))) (- (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))))))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (* (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (/ 1 (sqr i)))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (pow i 3))) (- (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))))))))) into (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (* (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (/ 1 (sqr i)))) (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (pow i 3))))))))
* [misc]backup-simplify:  Simplify (+ 0 (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (* (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (/ 1 (sqr i)))) (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (pow i 3))))))))) into (- (+ (* +nan.0 (* (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (/ 1 (sqr i)))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (pow i 3))) (- (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))))))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (* (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (/ 1 (sqr i)))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (pow i 3))) (- (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))))))))) into (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (* (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (/ 1 (sqr i)))) (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (pow i 3))))))))
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) (pow i 3)) (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (* (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (/ 1 (sqr i)))) (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (pow i 3))))))))) into (- (+ (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) (pow i 3)) (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))))) (- (+ (* +nan.0 (* (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (/ 1 (sqr i)))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (pow i 3))))))))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) (pow i 3)) (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))))) (- (+ (* +nan.0 (* (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (/ 1 (sqr i)))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (pow i 3))))))))))) into (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (* (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (/ 1 (sqr i)))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (pow i 3))) (- (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) (pow i 3)) (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))))))))))
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (* (/ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr i)) (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (* (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (/ 1 (sqr i)))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (pow i 3))) (- (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) (pow i 3)) (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))))))))))) into (- (+ (* +nan.0 (* (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (/ 1 (sqr i)))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (* (/ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr i)) (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))) (- (+ (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) (pow i 3)) (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))))) (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (pow i 3))))))))))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (* (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (/ 1 (sqr i)))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (* (/ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr i)) (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))) (- (+ (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) (pow i 3)) (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))))) (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (pow i 3))))))))))))) into (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (* (/ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr i)) (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))))) (- (+ (* +nan.0 (* (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (/ 1 (sqr i)))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (pow i 3))) (- (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) (pow i 3)) (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))))))))))))
* [misc]backup-simplify:  Simplify (+ 0 (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (* (/ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr i)) (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))))) (- (+ (* +nan.0 (* (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (/ 1 (sqr i)))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (pow i 3))) (- (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) (pow i 3)) (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))))))))))))) into (- (+ (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) (pow i 3)) (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))))) (- (+ (* +nan.0 (* (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (/ 1 (sqr i)))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (pow i 3))) (- (+ (* +nan.0 (* (/ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr i)) (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))) (- (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))))))))))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) (pow i 3)) (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))))) (- (+ (* +nan.0 (* (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (/ 1 (sqr i)))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (pow i 3))) (- (+ (* +nan.0 (* (/ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr i)) (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))) (- (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))))))))))))) into (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (* (/ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr i)) (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))))) (- (+ (* +nan.0 (* (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (/ 1 (sqr i)))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (pow i 3))) (- (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) (pow i 3)) (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))))))))))))
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (pow i 4))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (* (/ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr i)) (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))))) (- (+ (* +nan.0 (* (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (/ 1 (sqr i)))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (pow i 3))) (- (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) (pow i 3)) (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))))))))))))) into (- (+ (* +nan.0 (* (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (/ 1 (sqr i)))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (pow i 4))) (- (+ (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) (pow i 3)) (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (pow i 3))) (- (+ (* +nan.0 (* (/ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr i)) (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))) (- (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))))))))))))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (* (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (/ 1 (sqr i)))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (pow i 4))) (- (+ (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) (pow i 3)) (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (pow i 3))) (- (+ (* +nan.0 (* (/ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr i)) (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))) (- (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))))))))))))))) into (- (+ (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) (pow i 3)) (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (* (/ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr i)) (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))))) (- (+ (* +nan.0 (* (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (/ 1 (sqr i)))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (pow i 3))) (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (pow i 4))))))))))))))
* [misc]backup-simplify:  Simplify (+ 0 (- (+ (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) (pow i 3)) (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (* (/ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr i)) (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))))) (- (+ (* +nan.0 (* (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (/ 1 (sqr i)))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (pow i 3))) (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (pow i 4))))))))))))))) into (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (pow i 4))) (- (+ (* +nan.0 (* (/ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr i)) (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))) (- (+ (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) (pow i 3)) (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (pow i 3))) (- (+ (* +nan.0 (* (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (/ 1 (sqr i)))) (- (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))))))))))))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (pow i 4))) (- (+ (* +nan.0 (* (/ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr i)) (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))) (- (+ (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) (pow i 3)) (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (pow i 3))) (- (+ (* +nan.0 (* (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (/ 1 (sqr i)))) (- (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))))))))))))))) into (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (pow i 4))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (* (/ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr i)) (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))))) (- (+ (* +nan.0 (* (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (/ 1 (sqr i)))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (pow i 3))) (- (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) (pow i 3)) (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))))))))))))))
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (pow i 3))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (pow i 4))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (* (/ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr i)) (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))))) (- (+ (* +nan.0 (* (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (/ 1 (sqr i)))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (pow i 3))) (- (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) (pow i 3)) (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))))))))))))))) into (- (+ (* +nan.0 (* (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (/ 1 (sqr i)))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (pow i 4))) (- (+ (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) (pow i 3)) (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (pow i 3))) (- (+ (* +nan.0 (* (/ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr i)) (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))) (- (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))))))))))))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (* (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (/ 1 (sqr i)))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (pow i 4))) (- (+ (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) (pow i 3)) (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (pow i 3))) (- (+ (* +nan.0 (* (/ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr i)) (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))) (- (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))))))))))))))) into (- (+ (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) (pow i 3)) (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (* (/ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr i)) (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))))) (- (+ (* +nan.0 (* (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (/ 1 (sqr i)))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (pow i 3))) (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (pow i 4))))))))))))))
* [misc]backup-simplify:  Simplify (+ 0 (- (+ (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) (pow i 3)) (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (* (/ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr i)) (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))))) (- (+ (* +nan.0 (* (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (/ 1 (sqr i)))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (pow i 3))) (- (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (pow i 4))))))))))))))) into (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (pow i 4))) (- (+ (* +nan.0 (* (/ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr i)) (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))) (- (+ (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) (pow i 3)) (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (pow i 3))) (- (+ (* +nan.0 (* (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (/ 1 (sqr i)))) (- (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))))))))))))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (pow i 4))) (- (+ (* +nan.0 (* (/ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr i)) (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))) (- (+ (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) (pow i 3)) (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (pow i 3))) (- (+ (* +nan.0 (* (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (/ 1 (sqr i)))) (- (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))))))))))))))) into (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (pow i 4))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (* (/ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr i)) (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))))) (- (+ (* +nan.0 (* (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (/ 1 (sqr i)))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (pow i 3))) (- (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) (pow i 3)) (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))))))))))))))
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (* (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (/ 1 (pow i 4)))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (pow i 4))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (* (/ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr i)) (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))))) (- (+ (* +nan.0 (* (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (/ 1 (sqr i)))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (pow i 3))) (- (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) (pow i 3)) (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))))))))))))))) into (- (+ (* +nan.0 (* (/ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr i)) (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (pow i 4))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (pow i 3))) (- (+ (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) (pow i 3)) (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))))) (- (+ (* +nan.0 (* (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (/ 1 (pow i 4)))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (- (* +nan.0 (* (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (/ 1 (sqr i)))))))))))))))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (* (/ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr i)) (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (pow i 4))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (pow i 3))) (- (+ (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) (pow i 3)) (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))))) (- (+ (* +nan.0 (* (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (/ 1 (pow i 4)))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (- (* +nan.0 (* (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (/ 1 (sqr i)))))))))))))))))) into (- (+ (* +nan.0 (* (/ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr i)) (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (pow i 4))) (- (+ (* +nan.0 (* (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (/ 1 (sqr i)))) (- (+ (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) (pow i 3)) (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))) (- (+ (* +nan.0 (* (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (/ 1 (pow i 4)))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (pow i 3))))))))))))))))
* [misc]backup-simplify:  Simplify (+ 0 (- (+ (* +nan.0 (* (/ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr i)) (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (pow i 4))) (- (+ (* +nan.0 (* (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (/ 1 (sqr i)))) (- (+ (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) (pow i 3)) (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))) (- (+ (* +nan.0 (* (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (/ 1 (pow i 4)))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (pow i 3))))))))))))))))) into (- (+ (* +nan.0 (* (/ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr i)) (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (pow i 4))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (pow i 3))) (- (+ (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) (pow i 3)) (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))))) (- (+ (* +nan.0 (* (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (/ 1 (pow i 4)))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (- (* +nan.0 (* (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (/ 1 (sqr i)))))))))))))))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (* (/ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr i)) (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (pow i 4))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (pow i 3))) (- (+ (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) (pow i 3)) (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))))) (- (+ (* +nan.0 (* (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (/ 1 (pow i 4)))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (- (* +nan.0 (* (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (/ 1 (sqr i)))))))))))))))))) into (- (+ (* +nan.0 (* (/ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr i)) (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (pow i 4))) (- (+ (* +nan.0 (* (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (/ 1 (sqr i)))) (- (+ (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) (pow i 3)) (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))) (- (+ (* +nan.0 (* (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (/ 1 (pow i 4)))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (pow i 3))))))))))))))))
* [misc]backup-simplify:  Simplify (+ 0 (- (+ (* +nan.0 (* (/ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr i)) (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (pow i 4))) (- (+ (* +nan.0 (* (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (/ 1 (sqr i)))) (- (+ (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) (pow i 3)) (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))) (- (+ (* +nan.0 (* (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (/ 1 (pow i 4)))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (pow i 3))))))))))))))))) into (- (+ (* +nan.0 (* (/ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr i)) (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (pow i 4))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (pow i 3))) (- (+ (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) (pow i 3)) (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))))) (- (+ (* +nan.0 (* (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (/ 1 (pow i 4)))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (- (* +nan.0 (* (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (/ 1 (sqr i)))))))))))))))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (* (/ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr i)) (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (pow i 4))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (pow i 3))) (- (+ (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) (pow i 3)) (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))))) (- (+ (* +nan.0 (* (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (/ 1 (pow i 4)))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (- (* +nan.0 (* (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (/ 1 (sqr i)))))))))))))))))) into (- (+ (* +nan.0 (* (/ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr i)) (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (pow i 4))) (- (+ (* +nan.0 (* (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (/ 1 (sqr i)))) (- (+ (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) (pow i 3)) (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))) (- (+ (* +nan.0 (* (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (/ 1 (pow i 4)))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (pow i 3))))))))))))))))
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (* (/ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr i)) (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))) (- (+ (* +nan.0 (* (/ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr i)) (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (pow i 4))) (- (+ (* +nan.0 (* (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (/ 1 (sqr i)))) (- (+ (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) (pow i 3)) (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))) (- (+ (* +nan.0 (* (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (/ 1 (pow i 4)))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (pow i 3))))))))))))))))) into (- (+ (* +nan.0 (* (/ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr i)) (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (pow i 4))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (pow i 3))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) (pow i 3)) (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))))) (- (+ (* +nan.0 (* (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (/ 1 (pow i 4)))) (- (+ (* +nan.0 (* (/ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr i)) (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))) (- (* +nan.0 (* (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (/ 1 (sqr i)))))))))))))))))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (* (/ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr i)) (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (pow i 4))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (pow i 3))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) (pow i 3)) (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))))) (- (+ (* +nan.0 (* (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (/ 1 (pow i 4)))) (- (+ (* +nan.0 (* (/ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr i)) (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))) (- (* +nan.0 (* (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (/ 1 (sqr i)))))))))))))))))))) into (- (+ (* +nan.0 (* (/ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr i)) (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (pow i 4))) (- (+ (* +nan.0 (* (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (/ 1 (sqr i)))) (- (+ (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) (pow i 3)) (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))) (- (+ (* +nan.0 (* (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (/ 1 (pow i 4)))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (pow i 3))) (- (* +nan.0 (* (/ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr i)) (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))))))))))))))))))
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) (pow i 3)) (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))))) (- (+ (* +nan.0 (* (/ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr i)) (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (pow i 4))) (- (+ (* +nan.0 (* (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (/ 1 (sqr i)))) (- (+ (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) (pow i 3)) (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))) (- (+ (* +nan.0 (* (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (/ 1 (pow i 4)))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (pow i 3))) (- (* +nan.0 (* (/ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr i)) (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))))))))))))))))))) into (- (+ (* +nan.0 (* (/ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr i)) (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (pow i 4))) (- (+ (* +nan.0 (* (/ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr i)) (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))))) (- (+ (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) (pow i 3)) (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))) (- (+ (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) (pow i 3)) (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (pow i 3))) (- (+ (* +nan.0 (* (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (/ 1 (pow i 4)))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (- (* +nan.0 (* (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (/ 1 (sqr i)))))))))))))))))))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (* (/ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr i)) (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (pow i 4))) (- (+ (* +nan.0 (* (/ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr i)) (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))))) (- (+ (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) (pow i 3)) (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))) (- (+ (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) (pow i 3)) (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (pow i 3))) (- (+ (* +nan.0 (* (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (/ 1 (pow i 4)))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (- (* +nan.0 (* (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (/ 1 (sqr i)))))))))))))))))))))) into (- (+ (* +nan.0 (* (/ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr i)) (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (pow i 4))) (- (+ (* +nan.0 (* (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (/ 1 (sqr i)))) (- (+ (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) (pow i 3)) (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))) (- (+ (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) (pow i 3)) (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))))) (- (+ (* +nan.0 (* (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (/ 1 (pow i 4)))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (pow i 3))) (- (* +nan.0 (* (/ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr i)) (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))))))))))))))))))))))
* [misc]backup-simplify:  Simplify (+ 0 (- (+ (* +nan.0 (* (/ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr i)) (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (pow i 4))) (- (+ (* +nan.0 (* (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (/ 1 (sqr i)))) (- (+ (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) (pow i 3)) (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))) (- (+ (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) (pow i 3)) (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))))) (- (+ (* +nan.0 (* (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (/ 1 (pow i 4)))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (pow i 3))) (- (* +nan.0 (* (/ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr i)) (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))))))))))))))))))))))) into (- (+ (* +nan.0 (* (/ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr i)) (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (pow i 4))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (pow i 3))) (- (+ (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) (pow i 3)) (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))) (- (+ (* +nan.0 (* (/ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr i)) (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))))) (- (+ (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) (pow i 3)) (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))))) (- (+ (* +nan.0 (* (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (/ 1 (sqr i)))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (- (* +nan.0 (* (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (/ 1 (pow i 4)))))))))))))))))))))
* [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (* (/ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr i)) (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (pow i 4))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (pow i 3))) (- (+ (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) (pow i 3)) (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))) (- (+ (* +nan.0 (* (/ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr i)) (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))))) (- (+ (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) (pow i 3)) (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))))) (- (+ (* +nan.0 (* (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (/ 1 (sqr i)))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (- (* +nan.0 (* (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (/ 1 (pow i 4)))))))))))))))))))))) into (- (+ (* +nan.0 (* (/ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr i)) (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (pow i 4))) (- (+ (* +nan.0 (* (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (/ 1 (sqr i)))) (- (+ (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) (pow i 3)) (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))) (- (+ (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) (pow i 3)) (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))))) (- (+ (* +nan.0 (* (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (/ 1 (pow i 4)))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (pow i 3))) (- (* +nan.0 (* (/ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr i)) (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))))))))))))))))))))))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (* (/ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr i)) (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (pow i 4))) (- (+ (* +nan.0 (* (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (/ 1 (sqr i)))) (- (+ (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) (pow i 3)) (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))) (- (+ (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) (pow i 3)) (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))))) (- (+ (* +nan.0 (* (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (/ 1 (pow i 4)))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (pow i 3))) (- (* +nan.0 (* (/ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr i)) (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))))))))))))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (* (/ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr i)) (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))) (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (pow i 4))) (- (+ (* +nan.0 (* (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (/ 1 (sqr i)))) (- (+ (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) (pow i 3)) (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))) (- (+ (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) (pow i 3)) (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))))) (- (+ (* +nan.0 (* (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (/ 1 (pow i 4)))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (pow i 3))) (- (* +nan.0 (* (/ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr i)) (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))))))))))))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (* (/ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr i)) (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))) in i
* [misc]taylor:  Taking taylor expansion of +nan.0 in i
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (* (/ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr i)) (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) in i
* [misc]taylor:  Taking taylor expansion of (/ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr i)) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ -1 i) 2 (/ -1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (sqr i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) 2 (/ -1 alpha))) into (sqr (fma (/ -1 i) 2 (/ -1 alpha)))
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (/ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) 1) into (sqr (fma (/ -1 i) 2 (/ -1 alpha)))
* [misc]taylor:  Taking taylor expansion of (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) into (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) into (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))
* [misc]backup-simplify:  Simplify (+ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 0) (* 0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))) into 0
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (pow i 4))) (- (+ (* +nan.0 (* (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (/ 1 (sqr i)))) (- (+ (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) (pow i 3)) (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))) (- (+ (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) (pow i 3)) (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))))) (- (+ (* +nan.0 (* (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (/ 1 (pow i 4)))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (pow i 3))) (- (* +nan.0 (* (/ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr i)) (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))))))))))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (pow i 4))) (- (+ (* +nan.0 (* (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (/ 1 (sqr i)))) (- (+ (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) (pow i 3)) (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))) (- (+ (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) (pow i 3)) (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))))) (- (+ (* +nan.0 (* (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (/ 1 (pow i 4)))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (pow i 3))) (- (* +nan.0 (* (/ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr i)) (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))))))))))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (pow i 4))) in i
* [misc]taylor:  Taking taylor expansion of +nan.0 in i
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (pow i 4)) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (pow i 4) in i
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 1) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (* (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (/ 1 (sqr i)))) (- (+ (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) (pow i 3)) (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))) (- (+ (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) (pow i 3)) (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))))) (- (+ (* +nan.0 (* (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (/ 1 (pow i 4)))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (pow i 3))) (- (* +nan.0 (* (/ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr i)) (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))))))))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (* (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (/ 1 (sqr i)))) (- (+ (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) (pow i 3)) (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))) (- (+ (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) (pow i 3)) (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))))) (- (+ (* +nan.0 (* (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (/ 1 (pow i 4)))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (pow i 3))) (- (* +nan.0 (* (/ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr i)) (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))))))))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (* (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (/ 1 (sqr i)))) in i
* [misc]taylor:  Taking taylor expansion of +nan.0 in i
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (* (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (/ 1 (sqr i))) in i
* [misc]taylor:  Taking taylor expansion of (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) into (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) into (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))
* [misc]backup-simplify:  Simplify (+ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 0) (* 0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))))) into 0
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqr i)) in i
* [misc]taylor:  Taking taylor expansion of (sqr i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) (pow i 3)) (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))) (- (+ (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) (pow i 3)) (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))))) (- (+ (* +nan.0 (* (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (/ 1 (pow i 4)))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (pow i 3))) (- (* +nan.0 (* (/ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr i)) (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))))))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) (pow i 3)) (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))) (- (+ (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) (pow i 3)) (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))))) (- (+ (* +nan.0 (* (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (/ 1 (pow i 4)))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (pow i 3))) (- (* +nan.0 (* (/ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr i)) (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))))))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) (pow i 3)) (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))) in i
* [misc]taylor:  Taking taylor expansion of +nan.0 in i
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) (pow i 3)) (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) in i
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) 2 (/ -1 alpha)) (pow i 3)) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (pow i 3) in i
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) 2 (/ -1 alpha)) 1) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) into (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) into (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))
* [misc]backup-simplify:  Simplify (+ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 0) (* 0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))) into 0
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) (pow i 3)) (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))))) (- (+ (* +nan.0 (* (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (/ 1 (pow i 4)))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (pow i 3))) (- (* +nan.0 (* (/ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr i)) (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) (pow i 3)) (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))))) (- (+ (* +nan.0 (* (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (/ 1 (pow i 4)))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (pow i 3))) (- (* +nan.0 (* (/ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr i)) (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) (pow i 3)) (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))))) in i
* [misc]taylor:  Taking taylor expansion of +nan.0 in i
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) (pow i 3)) (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))) in i
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) 2 (/ -1 alpha)) (pow i 3)) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (pow i 3) in i
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) 2 (/ -1 alpha)) 1) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) into (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) into (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))
* [misc]backup-simplify:  Simplify (+ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 0) (* 0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))))) into 0
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (* (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (/ 1 (pow i 4)))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (pow i 3))) (- (* +nan.0 (* (/ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr i)) (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (* (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (/ 1 (pow i 4)))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (pow i 3))) (- (* +nan.0 (* (/ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr i)) (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (* (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (/ 1 (pow i 4)))) in i
* [misc]taylor:  Taking taylor expansion of +nan.0 in i
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (* (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (/ 1 (pow i 4))) in i
* [misc]taylor:  Taking taylor expansion of (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) into (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) into (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))
* [misc]backup-simplify:  Simplify (+ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 0) (* 0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))))) into 0
* [misc]taylor:  Taking taylor expansion of (/ 1 (pow i 4)) in i
* [misc]taylor:  Taking taylor expansion of (pow i 4) in i
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (pow i 3))) (- (* +nan.0 (* (/ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr i)) (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (pow i 3))) (- (* +nan.0 (* (/ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr i)) (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) in i
* [misc]taylor:  Taking taylor expansion of +nan.0 in i
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i)) in i
* [misc]taylor:  Taking taylor expansion of (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ -1 i) 2 (/ -1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (sqr i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) 2 (/ -1 alpha))) into (sqr (fma (/ -1 i) 2 (/ -1 alpha)))
* [misc]backup-simplify:  Simplify (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) into (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) 1) into (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (pow i 3))) (- (* +nan.0 (* (/ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr i)) (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))))))) in i
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (pow i 3))) (- (* +nan.0 (* (/ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr i)) (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (pow i 3))) in i
* [misc]taylor:  Taking taylor expansion of +nan.0 in i
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (pow i 3)) in i
* [misc]taylor:  Taking taylor expansion of (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (pow i 3) in i
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) 1) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]taylor:  Taking taylor expansion of (- (* +nan.0 (* (/ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr i)) (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))))) in i
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (* (/ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr i)) (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))))) in i
* [misc]taylor:  Taking taylor expansion of +nan.0 in i
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (* (/ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr i)) (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))) in i
* [misc]taylor:  Taking taylor expansion of (/ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr i)) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ -1 i) 2 (/ -1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (sqr i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) 2 (/ -1 alpha))) into (sqr (fma (/ -1 i) 2 (/ -1 alpha)))
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (/ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) 1) into (sqr (fma (/ -1 i) 2 (/ -1 alpha)))
* [misc]taylor:  Taking taylor expansion of (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) into (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) into (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))
* [misc]backup-simplify:  Simplify (+ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 0) (* 0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 0) (+ (* 0 0) (* 0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (sqr 0) (+)) (* 2 (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma (/ -1 i) 2 (/ -1 alpha)) 0) (* 0 (fma (/ -1 i) 2 (/ -1 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma (/ -1 i) 2 (/ -1 alpha)) 0) (+ (* 0 0) (* 0 (fma (/ -1 i) 2 (/ -1 alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) 0) (+ (* 0 0) (* 0 (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) 0) (* 0 (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))))) into 0
* [misc]backup-simplify:  Simplify (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))) into (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 0) (+ (* 0 0) (* 0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (sqr 0) (+)) (* 2 (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (* (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) 1) into (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 0) (+ (* 0 0) (* 0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (sqr 0) (+)) (* 2 (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (fma (/ -1 i) 2 (/ -1 alpha)) (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (fma (/ -1 i) 2 (/ -1 alpha)) (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (fma (/ -1 i) 2 (/ -1 alpha)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma (/ -1 i) 2 (/ -1 alpha)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma (/ -1 i) 2 (/ -1 alpha)) 0) (+ (* 0 0) (* 0 (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma (/ -1 i) 2 (/ -1 alpha)) 0) (* 0 (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))))) into 0
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 0) (+ (* 0 0) (* 0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (sqr 0) (+)) (* 2 (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (fma (/ -1 i) 2 (/ -1 alpha)) (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (fma (/ -1 i) 2 (/ -1 alpha)) (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (fma (/ -1 i) 2 (/ -1 alpha)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma (/ -1 i) 2 (/ -1 alpha)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma (/ -1 i) 2 (/ -1 alpha)) 0) (+ (* 0 0) (* 0 (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma (/ -1 i) 2 (/ -1 alpha)) 0) (* 0 (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))) into 0
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))))
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 0) (+ (* 0 0) (* 0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (sqr 0) (+)) (* 2 (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (sqr 0) (+ (* 2 (* 0 0)))) (* 2 (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (* (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) 1) into (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma (/ -1 i) 2 (/ -1 alpha)) 0) (* 0 (fma (/ -1 i) 2 (/ -1 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma (/ -1 i) 2 (/ -1 alpha)) 0) (+ (* 0 0) (* 0 (fma (/ -1 i) 2 (/ -1 alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) 0) (+ (* 0 0) (* 0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) 0) (* 0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma (/ -1 i) 2 (/ -1 alpha)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma (/ -1 i) 2 (/ -1 alpha)) 0) (* 0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma (/ -1 i) 2 (/ -1 alpha)) 0) (+ (* 0 0) (* 0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 0) (+ (* 0 0) (* 0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (sqr 0) (+)) (* 2 (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma (/ -1 i) 2 (/ -1 alpha)) 0) (* 0 (fma (/ -1 i) 2 (/ -1 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma (/ -1 i) 2 (/ -1 alpha)) 0) (+ (* 0 0) (* 0 (fma (/ -1 i) 2 (/ -1 alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) 0) (+ (* 0 0) (* 0 (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) 0) (* 0 (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))) into 0
* [misc]backup-simplify:  Simplify (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) into (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))))
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow i 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 3 0) (* 0 (log i))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 3 (log i))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (pow i 3)) (+ (* (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (pow i 3)) (/ 0 (pow i 3))))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (* 0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (pow i 3)))) into 0
* [misc]backup-simplify:  Simplify (+ (* i 0) (* 0 i)) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqr i)) (+ (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) (sqr i)) (/ 0 (sqr i))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) (sqr i)) 0) (* 0 (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (* 0 (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) (sqr i)) (sqrt (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* i 0) (+ (* 0 0) (+ (* 0 0) (* 0 i)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (sqr i))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqr i)) (+ (* (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i)) (/ 0 (sqr i))) (* 0 (/ 0 (sqr i))))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma (/ -1 i) 2 (/ -1 alpha)) 0) (* 0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ (* i 0) (* 0 i)) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqr i)) (+ (* (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i)) (/ 0 (sqr i))))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (* 0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* * * [misc]progress:  tayloring alt 6 of 10
* [misc]approximate:  Taking taylor expansion of (fma (/ (fma (/ 1 i) (+ (/ 1 alpha) (+ (/ 1 beta) (/ 1 i))) (/ 1 (* beta alpha))) beta) (/ i (* beta beta)) (* (/ (fma (/ 1 i) (+ (/ 1 alpha) (+ (/ 1 beta) (/ 1 i))) (/ 1 (* beta alpha))) (/ (pow beta 4) i)) (+ i alpha))) in (i alpha beta) around 0
* [misc]taylor:  Taking taylor expansion of (fma (/ (fma (/ 1 i) (+ (/ 1 alpha) (+ (/ 1 beta) (/ 1 i))) (/ 1 (* beta alpha))) beta) (/ i (* beta beta)) (* (/ (fma (/ 1 i) (+ (/ 1 alpha) (+ (/ 1 beta) (/ 1 i))) (/ 1 (* beta alpha))) (/ (pow beta 4) i)) (+ i alpha))) in beta
* [misc]backup-simplify:  Simplify (fma (/ (fma (/ 1 i) (+ (/ 1 alpha) (+ (/ 1 beta) (/ 1 i))) (/ 1 (* beta alpha))) beta) (/ i (* beta beta)) (* (/ (fma (/ 1 i) (+ (/ 1 alpha) (+ (/ 1 beta) (/ 1 i))) (/ 1 (* beta alpha))) (/ (pow beta 4) i)) (+ i alpha))) into (fma (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) beta) (/ i (sqr beta)) (/ (* (+ alpha i) (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (pow beta 4)))
* [misc]taylor:  Taking taylor expansion of (fma (/ (fma (/ 1 i) (+ (/ 1 alpha) (+ (/ 1 beta) (/ 1 i))) (/ 1 (* beta alpha))) beta) (/ i (* beta beta)) (* (/ (fma (/ 1 i) (+ (/ 1 alpha) (+ (/ 1 beta) (/ 1 i))) (/ 1 (* beta alpha))) (/ (pow beta 4) i)) (+ i alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ (fma (/ 1 i) (+ (/ 1 alpha) (+ (/ 1 beta) (/ 1 i))) (/ 1 (* beta alpha))) beta) (/ i (* beta beta)) (* (/ (fma (/ 1 i) (+ (/ 1 alpha) (+ (/ 1 beta) (/ 1 i))) (/ 1 (* beta alpha))) (/ (pow beta 4) i)) (+ i alpha))) into (fma (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) beta) (/ i (sqr beta)) (/ (* (+ alpha i) (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (pow beta 4)))
* [misc]taylor:  Taking taylor expansion of (fma (/ (fma (/ 1 i) (+ (/ 1 alpha) (+ (/ 1 beta) (/ 1 i))) (/ 1 (* beta alpha))) beta) (/ i (* beta beta)) (* (/ (fma (/ 1 i) (+ (/ 1 alpha) (+ (/ 1 beta) (/ 1 i))) (/ 1 (* beta alpha))) (/ (pow beta 4) i)) (+ i alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ (fma (/ 1 i) (+ (/ 1 alpha) (+ (/ 1 beta) (/ 1 i))) (/ 1 (* beta alpha))) beta) (/ i (* beta beta)) (* (/ (fma (/ 1 i) (+ (/ 1 alpha) (+ (/ 1 beta) (/ 1 i))) (/ 1 (* beta alpha))) (/ (pow beta 4) i)) (+ i alpha))) into (fma (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) beta) (/ i (sqr beta)) (/ (* (+ alpha i) (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (pow beta 4)))
* [misc]taylor:  Taking taylor expansion of (fma (/ (fma (/ 1 i) (+ (/ 1 alpha) (+ (/ 1 beta) (/ 1 i))) (/ 1 (* beta alpha))) beta) (/ i (* beta beta)) (* (/ (fma (/ 1 i) (+ (/ 1 alpha) (+ (/ 1 beta) (/ 1 i))) (/ 1 (* beta alpha))) (/ (pow beta 4) i)) (+ i alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ (fma (/ 1 i) (+ (/ 1 alpha) (+ (/ 1 beta) (/ 1 i))) (/ 1 (* beta alpha))) beta) (/ i (* beta beta)) (* (/ (fma (/ 1 i) (+ (/ 1 alpha) (+ (/ 1 beta) (/ 1 i))) (/ 1 (* beta alpha))) (/ (pow beta 4) i)) (+ i alpha))) into (fma (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) beta) (/ i (sqr beta)) (/ (* (+ alpha i) (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (pow beta 4)))
* [misc]taylor:  Taking taylor expansion of (fma (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) beta) (/ i (sqr beta)) (/ (* (+ alpha i) (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (pow beta 4))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) beta) (/ i (sqr beta)) (/ (* (+ alpha i) (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (pow beta 4))) into (fma (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) beta) (/ i (sqr beta)) (/ (* (+ alpha i) (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (pow beta 4)))
* [misc]taylor:  Taking taylor expansion of (fma (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) beta) (/ i (sqr beta)) (/ (* (+ alpha i) (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (pow beta 4))) in beta
* [misc]backup-simplify:  Simplify (fma (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) beta) (/ i (sqr beta)) (/ (* (+ alpha i) (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (pow beta 4))) into (fma (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) beta) (/ i (sqr beta)) (/ (* (+ alpha i) (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (pow beta 4)))
* [misc]backup-simplify:  Simplify (fma (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) beta) (/ i (sqr beta)) (/ (* (+ alpha i) (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (pow beta 4))) into (fma (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) beta) (/ i (sqr beta)) (/ (* (+ alpha i) (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (pow beta 4)))
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (fma (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) beta) (/ i (sqr beta)) (/ (* (+ alpha i) (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (pow beta 4))) into (fma (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) beta) (/ i (sqr beta)) (/ (* (+ alpha i) (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (pow beta 4)))
* [misc]approximate:  Taking taylor expansion of (fma (/ (fma (/ 1 (/ 1 i)) (+ (/ 1 (/ 1 alpha)) (+ (/ 1 (/ 1 beta)) (/ 1 (/ 1 i)))) (/ 1 (* (/ 1 beta) (/ 1 alpha)))) (/ 1 beta)) (/ (/ 1 i) (* (/ 1 beta) (/ 1 beta))) (* (/ (fma (/ 1 (/ 1 i)) (+ (/ 1 (/ 1 alpha)) (+ (/ 1 (/ 1 beta)) (/ 1 (/ 1 i)))) (/ 1 (* (/ 1 beta) (/ 1 alpha)))) (/ (pow (/ 1 beta) 4) (/ 1 i))) (+ (/ 1 i) (/ 1 alpha)))) in (i alpha beta) around 0
* [misc]taylor:  Taking taylor expansion of (fma (/ (fma (/ 1 (/ 1 i)) (+ (/ 1 (/ 1 alpha)) (+ (/ 1 (/ 1 beta)) (/ 1 (/ 1 i)))) (/ 1 (* (/ 1 beta) (/ 1 alpha)))) (/ 1 beta)) (/ (/ 1 i) (* (/ 1 beta) (/ 1 beta))) (* (/ (fma (/ 1 (/ 1 i)) (+ (/ 1 (/ 1 alpha)) (+ (/ 1 (/ 1 beta)) (/ 1 (/ 1 i)))) (/ 1 (* (/ 1 beta) (/ 1 alpha)))) (/ (pow (/ 1 beta) 4) (/ 1 i))) (+ (/ 1 i) (/ 1 alpha)))) in beta
* [misc]backup-simplify:  Simplify (fma (/ (fma (/ 1 (/ 1 i)) (+ (/ 1 (/ 1 alpha)) (+ (/ 1 (/ 1 beta)) (/ 1 (/ 1 i)))) (/ 1 (* (/ 1 beta) (/ 1 alpha)))) (/ 1 beta)) (/ (/ 1 i) (* (/ 1 beta) (/ 1 beta))) (* (/ (fma (/ 1 (/ 1 i)) (+ (/ 1 (/ 1 alpha)) (+ (/ 1 (/ 1 beta)) (/ 1 (/ 1 i)))) (/ 1 (* (/ 1 beta) (/ 1 alpha)))) (/ (pow (/ 1 beta) 4) (/ 1 i))) (+ (/ 1 i) (/ 1 alpha)))) into (fma (* (fma i (+ beta (+ alpha i)) (* beta alpha)) beta) (/ (sqr beta) i) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (pow beta 4) (+ (/ 1 alpha) (/ 1 i)))) i))
* [misc]taylor:  Taking taylor expansion of (fma (/ (fma (/ 1 (/ 1 i)) (+ (/ 1 (/ 1 alpha)) (+ (/ 1 (/ 1 beta)) (/ 1 (/ 1 i)))) (/ 1 (* (/ 1 beta) (/ 1 alpha)))) (/ 1 beta)) (/ (/ 1 i) (* (/ 1 beta) (/ 1 beta))) (* (/ (fma (/ 1 (/ 1 i)) (+ (/ 1 (/ 1 alpha)) (+ (/ 1 (/ 1 beta)) (/ 1 (/ 1 i)))) (/ 1 (* (/ 1 beta) (/ 1 alpha)))) (/ (pow (/ 1 beta) 4) (/ 1 i))) (+ (/ 1 i) (/ 1 alpha)))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ (fma (/ 1 (/ 1 i)) (+ (/ 1 (/ 1 alpha)) (+ (/ 1 (/ 1 beta)) (/ 1 (/ 1 i)))) (/ 1 (* (/ 1 beta) (/ 1 alpha)))) (/ 1 beta)) (/ (/ 1 i) (* (/ 1 beta) (/ 1 beta))) (* (/ (fma (/ 1 (/ 1 i)) (+ (/ 1 (/ 1 alpha)) (+ (/ 1 (/ 1 beta)) (/ 1 (/ 1 i)))) (/ 1 (* (/ 1 beta) (/ 1 alpha)))) (/ (pow (/ 1 beta) 4) (/ 1 i))) (+ (/ 1 i) (/ 1 alpha)))) into (fma (* (fma i (+ beta (+ alpha i)) (* beta alpha)) beta) (/ (sqr beta) i) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (pow beta 4) (+ (/ 1 alpha) (/ 1 i)))) i))
* [misc]taylor:  Taking taylor expansion of (fma (/ (fma (/ 1 (/ 1 i)) (+ (/ 1 (/ 1 alpha)) (+ (/ 1 (/ 1 beta)) (/ 1 (/ 1 i)))) (/ 1 (* (/ 1 beta) (/ 1 alpha)))) (/ 1 beta)) (/ (/ 1 i) (* (/ 1 beta) (/ 1 beta))) (* (/ (fma (/ 1 (/ 1 i)) (+ (/ 1 (/ 1 alpha)) (+ (/ 1 (/ 1 beta)) (/ 1 (/ 1 i)))) (/ 1 (* (/ 1 beta) (/ 1 alpha)))) (/ (pow (/ 1 beta) 4) (/ 1 i))) (+ (/ 1 i) (/ 1 alpha)))) in i
* [misc]backup-simplify:  Simplify (fma (/ (fma (/ 1 (/ 1 i)) (+ (/ 1 (/ 1 alpha)) (+ (/ 1 (/ 1 beta)) (/ 1 (/ 1 i)))) (/ 1 (* (/ 1 beta) (/ 1 alpha)))) (/ 1 beta)) (/ (/ 1 i) (* (/ 1 beta) (/ 1 beta))) (* (/ (fma (/ 1 (/ 1 i)) (+ (/ 1 (/ 1 alpha)) (+ (/ 1 (/ 1 beta)) (/ 1 (/ 1 i)))) (/ 1 (* (/ 1 beta) (/ 1 alpha)))) (/ (pow (/ 1 beta) 4) (/ 1 i))) (+ (/ 1 i) (/ 1 alpha)))) into (fma (* (fma i (+ beta (+ alpha i)) (* beta alpha)) beta) (/ (sqr beta) i) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (pow beta 4) (+ (/ 1 alpha) (/ 1 i)))) i))
* [misc]taylor:  Taking taylor expansion of (fma (/ (fma (/ 1 (/ 1 i)) (+ (/ 1 (/ 1 alpha)) (+ (/ 1 (/ 1 beta)) (/ 1 (/ 1 i)))) (/ 1 (* (/ 1 beta) (/ 1 alpha)))) (/ 1 beta)) (/ (/ 1 i) (* (/ 1 beta) (/ 1 beta))) (* (/ (fma (/ 1 (/ 1 i)) (+ (/ 1 (/ 1 alpha)) (+ (/ 1 (/ 1 beta)) (/ 1 (/ 1 i)))) (/ 1 (* (/ 1 beta) (/ 1 alpha)))) (/ (pow (/ 1 beta) 4) (/ 1 i))) (+ (/ 1 i) (/ 1 alpha)))) in i
* [misc]backup-simplify:  Simplify (fma (/ (fma (/ 1 (/ 1 i)) (+ (/ 1 (/ 1 alpha)) (+ (/ 1 (/ 1 beta)) (/ 1 (/ 1 i)))) (/ 1 (* (/ 1 beta) (/ 1 alpha)))) (/ 1 beta)) (/ (/ 1 i) (* (/ 1 beta) (/ 1 beta))) (* (/ (fma (/ 1 (/ 1 i)) (+ (/ 1 (/ 1 alpha)) (+ (/ 1 (/ 1 beta)) (/ 1 (/ 1 i)))) (/ 1 (* (/ 1 beta) (/ 1 alpha)))) (/ (pow (/ 1 beta) 4) (/ 1 i))) (+ (/ 1 i) (/ 1 alpha)))) into (fma (* (fma i (+ beta (+ alpha i)) (* beta alpha)) beta) (/ (sqr beta) i) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (pow beta 4) (+ (/ 1 alpha) (/ 1 i)))) i))
* [misc]taylor:  Taking taylor expansion of (fma (* (fma i (+ beta (+ alpha i)) (* beta alpha)) beta) (/ (sqr beta) i) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (pow beta 4) (+ (/ 1 alpha) (/ 1 i)))) i)) in alpha
* [misc]backup-simplify:  Simplify (fma (* (fma i (+ beta (+ alpha i)) (* beta alpha)) beta) (/ (sqr beta) i) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (pow beta 4) (+ (/ 1 alpha) (/ 1 i)))) i)) into (fma (* (fma i (+ beta (+ alpha i)) (* beta alpha)) beta) (/ (sqr beta) i) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (pow beta 4) (+ (/ 1 i) (/ 1 alpha)))) i))
* [misc]taylor:  Taking taylor expansion of (fma (* (fma i (+ beta (+ alpha i)) (* beta alpha)) beta) (/ (sqr beta) i) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (pow beta 4) (+ (/ 1 i) (/ 1 alpha)))) i)) in beta
* [misc]backup-simplify:  Simplify (fma (* (fma i (+ beta (+ alpha i)) (* beta alpha)) beta) (/ (sqr beta) i) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (pow beta 4) (+ (/ 1 i) (/ 1 alpha)))) i)) into (fma (* (fma i (+ beta (+ alpha i)) (* beta alpha)) beta) (/ (sqr beta) i) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (pow beta 4) (+ (/ 1 alpha) (/ 1 i)))) i))
* [misc]backup-simplify:  Simplify (fma (* (fma i (+ beta (+ alpha i)) (* beta alpha)) beta) (/ (sqr beta) i) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (pow beta 4) (+ (/ 1 alpha) (/ 1 i)))) i)) into (fma (* (fma i (+ beta (+ alpha i)) (* beta alpha)) beta) (/ (sqr beta) i) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (pow beta 4) (+ (/ 1 i) (/ 1 alpha)))) i))
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (fma (* (fma i (+ beta (+ alpha i)) (* beta alpha)) beta) (/ (sqr beta) i) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (pow beta 4) (+ (/ 1 i) (/ 1 alpha)))) i)) into (fma (* (fma i (+ beta (+ alpha i)) (* beta alpha)) beta) (/ (sqr beta) i) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (pow beta 4) (+ (/ 1 alpha) (/ 1 i)))) i))
* [misc]approximate:  Taking taylor expansion of (fma (/ (fma (/ 1 (/ 1 (- i))) (+ (/ 1 (/ 1 (- alpha))) (+ (/ 1 (/ 1 (- beta))) (/ 1 (/ 1 (- i))))) (/ 1 (* (/ 1 (- beta)) (/ 1 (- alpha))))) (/ 1 (- beta))) (/ (/ 1 (- i)) (* (/ 1 (- beta)) (/ 1 (- beta)))) (* (/ (fma (/ 1 (/ 1 (- i))) (+ (/ 1 (/ 1 (- alpha))) (+ (/ 1 (/ 1 (- beta))) (/ 1 (/ 1 (- i))))) (/ 1 (* (/ 1 (- beta)) (/ 1 (- alpha))))) (/ (pow (/ 1 (- beta)) 4) (/ 1 (- i)))) (+ (/ 1 (- i)) (/ 1 (- alpha))))) in (i alpha beta) around 0
* [misc]taylor:  Taking taylor expansion of (fma (/ (fma (/ 1 (/ 1 (- i))) (+ (/ 1 (/ 1 (- alpha))) (+ (/ 1 (/ 1 (- beta))) (/ 1 (/ 1 (- i))))) (/ 1 (* (/ 1 (- beta)) (/ 1 (- alpha))))) (/ 1 (- beta))) (/ (/ 1 (- i)) (* (/ 1 (- beta)) (/ 1 (- beta)))) (* (/ (fma (/ 1 (/ 1 (- i))) (+ (/ 1 (/ 1 (- alpha))) (+ (/ 1 (/ 1 (- beta))) (/ 1 (/ 1 (- i))))) (/ 1 (* (/ 1 (- beta)) (/ 1 (- alpha))))) (/ (pow (/ 1 (- beta)) 4) (/ 1 (- i)))) (+ (/ 1 (- i)) (/ 1 (- alpha))))) in beta
* [misc]backup-simplify:  Simplify (fma (/ (fma (/ 1 (/ 1 (- i))) (+ (/ 1 (/ 1 (- alpha))) (+ (/ 1 (/ 1 (- beta))) (/ 1 (/ 1 (- i))))) (/ 1 (* (/ 1 (- beta)) (/ 1 (- alpha))))) (/ 1 (- beta))) (/ (/ 1 (- i)) (* (/ 1 (- beta)) (/ 1 (- beta)))) (* (/ (fma (/ 1 (/ 1 (- i))) (+ (/ 1 (/ 1 (- alpha))) (+ (/ 1 (/ 1 (- beta))) (/ 1 (/ 1 (- i))))) (/ 1 (* (/ 1 (- beta)) (/ 1 (- alpha))))) (/ (pow (/ 1 (- beta)) 4) (/ 1 (- i)))) (+ (/ 1 (- i)) (/ 1 (- alpha))))) into (fma (* -1 (* beta (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)))) (* -1 (/ (sqr beta) i)) (/ (* (pow beta 4) (* (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) (+ (/ 1 alpha) (/ 1 i)))) i))
* [misc]taylor:  Taking taylor expansion of (fma (/ (fma (/ 1 (/ 1 (- i))) (+ (/ 1 (/ 1 (- alpha))) (+ (/ 1 (/ 1 (- beta))) (/ 1 (/ 1 (- i))))) (/ 1 (* (/ 1 (- beta)) (/ 1 (- alpha))))) (/ 1 (- beta))) (/ (/ 1 (- i)) (* (/ 1 (- beta)) (/ 1 (- beta)))) (* (/ (fma (/ 1 (/ 1 (- i))) (+ (/ 1 (/ 1 (- alpha))) (+ (/ 1 (/ 1 (- beta))) (/ 1 (/ 1 (- i))))) (/ 1 (* (/ 1 (- beta)) (/ 1 (- alpha))))) (/ (pow (/ 1 (- beta)) 4) (/ 1 (- i)))) (+ (/ 1 (- i)) (/ 1 (- alpha))))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ (fma (/ 1 (/ 1 (- i))) (+ (/ 1 (/ 1 (- alpha))) (+ (/ 1 (/ 1 (- beta))) (/ 1 (/ 1 (- i))))) (/ 1 (* (/ 1 (- beta)) (/ 1 (- alpha))))) (/ 1 (- beta))) (/ (/ 1 (- i)) (* (/ 1 (- beta)) (/ 1 (- beta)))) (* (/ (fma (/ 1 (/ 1 (- i))) (+ (/ 1 (/ 1 (- alpha))) (+ (/ 1 (/ 1 (- beta))) (/ 1 (/ 1 (- i))))) (/ 1 (* (/ 1 (- beta)) (/ 1 (- alpha))))) (/ (pow (/ 1 (- beta)) 4) (/ 1 (- i)))) (+ (/ 1 (- i)) (/ 1 (- alpha))))) into (fma (* -1 (* beta (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)))) (* -1 (/ (sqr beta) i)) (/ (* (pow beta 4) (* (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) (+ (/ 1 alpha) (/ 1 i)))) i))
* [misc]taylor:  Taking taylor expansion of (fma (/ (fma (/ 1 (/ 1 (- i))) (+ (/ 1 (/ 1 (- alpha))) (+ (/ 1 (/ 1 (- beta))) (/ 1 (/ 1 (- i))))) (/ 1 (* (/ 1 (- beta)) (/ 1 (- alpha))))) (/ 1 (- beta))) (/ (/ 1 (- i)) (* (/ 1 (- beta)) (/ 1 (- beta)))) (* (/ (fma (/ 1 (/ 1 (- i))) (+ (/ 1 (/ 1 (- alpha))) (+ (/ 1 (/ 1 (- beta))) (/ 1 (/ 1 (- i))))) (/ 1 (* (/ 1 (- beta)) (/ 1 (- alpha))))) (/ (pow (/ 1 (- beta)) 4) (/ 1 (- i)))) (+ (/ 1 (- i)) (/ 1 (- alpha))))) in i
* [misc]backup-simplify:  Simplify (fma (/ (fma (/ 1 (/ 1 (- i))) (+ (/ 1 (/ 1 (- alpha))) (+ (/ 1 (/ 1 (- beta))) (/ 1 (/ 1 (- i))))) (/ 1 (* (/ 1 (- beta)) (/ 1 (- alpha))))) (/ 1 (- beta))) (/ (/ 1 (- i)) (* (/ 1 (- beta)) (/ 1 (- beta)))) (* (/ (fma (/ 1 (/ 1 (- i))) (+ (/ 1 (/ 1 (- alpha))) (+ (/ 1 (/ 1 (- beta))) (/ 1 (/ 1 (- i))))) (/ 1 (* (/ 1 (- beta)) (/ 1 (- alpha))))) (/ (pow (/ 1 (- beta)) 4) (/ 1 (- i)))) (+ (/ 1 (- i)) (/ 1 (- alpha))))) into (fma (* -1 (* beta (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)))) (* -1 (/ (sqr beta) i)) (/ (* (pow beta 4) (* (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) (+ (/ 1 alpha) (/ 1 i)))) i))
* [misc]taylor:  Taking taylor expansion of (fma (/ (fma (/ 1 (/ 1 (- i))) (+ (/ 1 (/ 1 (- alpha))) (+ (/ 1 (/ 1 (- beta))) (/ 1 (/ 1 (- i))))) (/ 1 (* (/ 1 (- beta)) (/ 1 (- alpha))))) (/ 1 (- beta))) (/ (/ 1 (- i)) (* (/ 1 (- beta)) (/ 1 (- beta)))) (* (/ (fma (/ 1 (/ 1 (- i))) (+ (/ 1 (/ 1 (- alpha))) (+ (/ 1 (/ 1 (- beta))) (/ 1 (/ 1 (- i))))) (/ 1 (* (/ 1 (- beta)) (/ 1 (- alpha))))) (/ (pow (/ 1 (- beta)) 4) (/ 1 (- i)))) (+ (/ 1 (- i)) (/ 1 (- alpha))))) in i
* [misc]backup-simplify:  Simplify (fma (/ (fma (/ 1 (/ 1 (- i))) (+ (/ 1 (/ 1 (- alpha))) (+ (/ 1 (/ 1 (- beta))) (/ 1 (/ 1 (- i))))) (/ 1 (* (/ 1 (- beta)) (/ 1 (- alpha))))) (/ 1 (- beta))) (/ (/ 1 (- i)) (* (/ 1 (- beta)) (/ 1 (- beta)))) (* (/ (fma (/ 1 (/ 1 (- i))) (+ (/ 1 (/ 1 (- alpha))) (+ (/ 1 (/ 1 (- beta))) (/ 1 (/ 1 (- i))))) (/ 1 (* (/ 1 (- beta)) (/ 1 (- alpha))))) (/ (pow (/ 1 (- beta)) 4) (/ 1 (- i)))) (+ (/ 1 (- i)) (/ 1 (- alpha))))) into (fma (* -1 (* beta (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)))) (* -1 (/ (sqr beta) i)) (/ (* (pow beta 4) (* (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) (+ (/ 1 alpha) (/ 1 i)))) i))
* [misc]taylor:  Taking taylor expansion of (fma (* -1 (* beta (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)))) (* -1 (/ (sqr beta) i)) (/ (* (pow beta 4) (* (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) (+ (/ 1 alpha) (/ 1 i)))) i)) in alpha
* [misc]backup-simplify:  Simplify (fma (* -1 (* beta (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)))) (* -1 (/ (sqr beta) i)) (/ (* (pow beta 4) (* (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) (+ (/ 1 alpha) (/ 1 i)))) i)) into (fma (* -1 (* beta (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)))) (* -1 (/ (sqr beta) i)) (/ (* (pow beta 4) (* (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) (+ (/ 1 i) (/ 1 alpha)))) i))
* [misc]taylor:  Taking taylor expansion of (fma (* -1 (* beta (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)))) (* -1 (/ (sqr beta) i)) (/ (* (pow beta 4) (* (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) (+ (/ 1 i) (/ 1 alpha)))) i)) in beta
* [misc]backup-simplify:  Simplify (fma (* -1 (* beta (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)))) (* -1 (/ (sqr beta) i)) (/ (* (pow beta 4) (* (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) (+ (/ 1 i) (/ 1 alpha)))) i)) into (fma (* -1 (* beta (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)))) (* -1 (/ (sqr beta) i)) (/ (* (pow beta 4) (* (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) (+ (/ 1 alpha) (/ 1 i)))) i))
* [misc]backup-simplify:  Simplify (fma (* -1 (* beta (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)))) (* -1 (/ (sqr beta) i)) (/ (* (pow beta 4) (* (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) (+ (/ 1 alpha) (/ 1 i)))) i)) into (fma (* -1 (* beta (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)))) (* -1 (/ (sqr beta) i)) (/ (* (pow beta 4) (* (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) (+ (/ 1 i) (/ 1 alpha)))) i))
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (fma (* -1 (* beta (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)))) (* -1 (/ (sqr beta) i)) (/ (* (pow beta 4) (* (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) (+ (/ 1 i) (/ 1 alpha)))) i)) into (fma (* -1 (* beta (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)))) (* -1 (/ (sqr beta) i)) (/ (* (pow beta 4) (* (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) (+ (/ 1 alpha) (/ 1 i)))) i))
* [misc]approximate:  Taking taylor expansion of (/ i (* beta beta)) in (i beta) around 0
* [misc]taylor:  Taking taylor expansion of (/ i (* beta beta)) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (* beta beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (/ i 1) into i
* [misc]taylor:  Taking taylor expansion of (/ i (* beta beta)) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* beta beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (* beta beta) into (sqr beta)
* [misc]backup-simplify:  Simplify (/ 1 (sqr beta)) into (/ 1 (sqr beta))
* [misc]taylor:  Taking taylor expansion of (/ i (* beta beta)) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* beta beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (* beta beta) into (sqr beta)
* [misc]backup-simplify:  Simplify (/ 1 (sqr beta)) into (/ 1 (sqr beta))
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqr beta)) in beta
* [misc]taylor:  Taking taylor expansion of (sqr beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ (* beta 0) (* 0 beta)) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqr beta)) (+ (* (/ 1 (sqr beta)) (/ 0 (sqr beta))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* beta 0) (+ (* 0 0) (* 0 beta))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqr beta)) (+ (* (/ 1 (sqr beta)) (/ 0 (sqr beta))) (* 0 (/ 0 (sqr beta))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* beta 0) (+ (* 0 0) (+ (* 0 0) (* 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqr beta)) (+ (* (/ 1 (sqr beta)) (/ 0 (sqr beta))) (* 0 (/ 0 (sqr beta))) (* 0 (/ 0 (sqr beta))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* beta 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 beta))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqr beta)) (+ (* (/ 1 (sqr beta)) (/ 0 (sqr beta))) (* 0 (/ 0 (sqr beta))) (* 0 (/ 0 (sqr beta))) (* 0 (/ 0 (sqr beta))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* 1 (* (/ 1 (sqr beta)) i)) into (/ i (sqr beta))
* [misc]approximate:  Taking taylor expansion of (/ (/ 1 i) (* (/ 1 beta) (/ 1 beta))) in (i beta) around 0
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 i) (* (/ 1 beta) (/ 1 beta))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 beta) (/ 1 beta)) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (/ (/ 1 i) 1) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 i) (* (/ 1 beta) (/ 1 beta))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 beta) (/ 1 beta)) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]backup-simplify:  Simplify (* (/ 1 beta) (/ 1 beta)) into (/ 1 (sqr beta))
* [misc]backup-simplify:  Simplify (/ 1 (/ 1 (sqr beta))) into (sqr beta)
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 i) (* (/ 1 beta) (/ 1 beta))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 beta) (/ 1 beta)) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]backup-simplify:  Simplify (* (/ 1 beta) (/ 1 beta)) into (/ 1 (sqr beta))
* [misc]backup-simplify:  Simplify (/ 1 (/ 1 (sqr beta))) into (sqr beta)
* [misc]taylor:  Taking taylor expansion of (sqr beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 beta) 0) (* 0 (/ 1 beta))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (/ 1 (sqr beta))) (+ (* (sqr beta) (/ 0 (/ 1 (sqr beta)))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 beta) 0) (+ (* 0 0) (* 0 (/ 1 beta)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (/ 1 (sqr beta))) (+ (* (sqr beta) (/ 0 (/ 1 (sqr beta)))) (* 0 (/ 0 (/ 1 (sqr beta)))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 beta) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 beta))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (/ 1 (sqr beta))) (+ (* (sqr beta) (/ 0 (/ 1 (sqr beta)))) (* 0 (/ 0 (/ 1 (sqr beta)))) (* 0 (/ 0 (/ 1 (sqr beta)))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* 1 (* (sqr (/ 1 beta)) (/ 1 (/ 1 i)))) into (/ i (sqr beta))
* [misc]approximate:  Taking taylor expansion of (/ (/ 1 (- i)) (* (/ 1 (- beta)) (/ 1 (- beta)))) in (i beta) around 0
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- i)) (* (/ 1 (- beta)) (/ 1 (- beta)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in beta
* [misc]taylor:  Taking taylor expansion of (- i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- beta)) (/ 1 (- beta))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (/ (/ -1 i) 1) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- i)) (* (/ 1 (- beta)) (/ 1 (- beta)))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in i
* [misc]taylor:  Taking taylor expansion of (- i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- beta)) (/ 1 (- beta))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in i
* [misc]taylor:  Taking taylor expansion of (- beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in i
* [misc]taylor:  Taking taylor expansion of (- beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]backup-simplify:  Simplify (* (/ -1 beta) (/ -1 beta)) into (/ 1 (sqr beta))
* [misc]backup-simplify:  Simplify (/ -1 (/ 1 (sqr beta))) into (* -1 (sqr beta))
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- i)) (* (/ 1 (- beta)) (/ 1 (- beta)))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in i
* [misc]taylor:  Taking taylor expansion of (- i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- beta)) (/ 1 (- beta))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in i
* [misc]taylor:  Taking taylor expansion of (- beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in i
* [misc]taylor:  Taking taylor expansion of (- beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]backup-simplify:  Simplify (* (/ -1 beta) (/ -1 beta)) into (/ 1 (sqr beta))
* [misc]backup-simplify:  Simplify (/ -1 (/ 1 (sqr beta))) into (* -1 (sqr beta))
* [misc]taylor:  Taking taylor expansion of (* -1 (sqr beta)) in beta
* [misc]taylor:  Taking taylor expansion of -1 in beta
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]taylor:  Taking taylor expansion of (sqr beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 1) (+ (* 0 0) (* 0 0))) into -1
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 beta) (/ 0 (- beta))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 beta) (/ 0 (- beta))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 beta) 0) (* 0 (/ -1 beta))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (/ 1 (sqr beta))) (+ (* (* -1 (sqr beta)) (/ 0 (/ 1 (sqr beta)))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 1) (+ (* 0 0) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 beta) (/ 0 (- beta))) (* 0 (/ 0 (- beta))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 beta) (/ 0 (- beta))) (* 0 (/ 0 (- beta))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 beta) 0) (+ (* 0 0) (* 0 (/ -1 beta)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (/ 1 (sqr beta))) (+ (* (* -1 (sqr beta)) (/ 0 (/ 1 (sqr beta)))) (* 0 (/ 0 (/ 1 (sqr beta)))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 0) (* 0 0))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 beta) (/ 0 (- beta))) (* 0 (/ 0 (- beta))) (* 0 (/ 0 (- beta))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 beta) (/ 0 (- beta))) (* 0 (/ 0 (- beta))) (* 0 (/ 0 (- beta))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 beta) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 beta))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (/ 1 (sqr beta))) (+ (* (* -1 (sqr beta)) (/ 0 (/ 1 (sqr beta)))) (* 0 (/ 0 (/ 1 (sqr beta)))) (* 0 (/ 0 (/ 1 (sqr beta)))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* -1 (* (sqr (/ 1 (- beta))) (/ 1 (/ 1 (- i))))) into (/ i (sqr beta))
* [misc]approximate:  Taking taylor expansion of (/ (pow beta 4) i) in (beta i) around 0
* [misc]taylor:  Taking taylor expansion of (/ (pow beta 4) i) in i
* [misc]taylor:  Taking taylor expansion of (pow beta 4) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 4 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 4 (log beta)) into (* 4 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 4 (log beta))) into (pow beta 4)
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ (pow beta 4) 1) into (pow beta 4)
* [misc]taylor:  Taking taylor expansion of (/ (pow beta 4) i) in beta
* [misc]taylor:  Taking taylor expansion of (pow beta 4) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (/ (pow beta 4) i) in beta
* [misc]taylor:  Taking taylor expansion of (pow beta 4) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- (/ 0 i) (+ (* (/ 1 i) (/ 0 i)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 i) (+ (* (/ 1 i) (/ 0 i)) (* 0 (/ 0 i)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 i) (+ (* (/ 1 i) (/ 0 i)) (* 0 (/ 0 i)) (* 0 (/ 0 i)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* 1 (* (/ 1 i) (pow beta 4))) into (/ (pow beta 4) i)
* [misc]approximate:  Taking taylor expansion of (/ (pow (/ 1 beta) 4) (/ 1 i)) in (beta i) around 0
* [misc]taylor:  Taking taylor expansion of (/ (pow (/ 1 beta) 4) (/ 1 i)) in i
* [misc]taylor:  Taking taylor expansion of (pow (/ 1 beta) 4) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 4 (log (/ 1 beta)))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (log (/ 1 beta))) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (log (/ 1 beta)) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]backup-simplify:  Simplify (log (/ 1 beta)) into (log (/ 1 beta))
* [misc]backup-simplify:  Simplify (* 4 (log (/ 1 beta))) into (* 4 (log (/ 1 beta)))
* [misc]backup-simplify:  Simplify (exp (* 4 (log (/ 1 beta)))) into (pow (/ 1 beta) 4)
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (/ (pow (/ 1 beta) 4) 1) into (/ 1 (pow beta 4))
* [misc]taylor:  Taking taylor expansion of (/ (pow (/ 1 beta) 4) (/ 1 i)) in beta
* [misc]taylor:  Taking taylor expansion of (pow (/ 1 beta) 4) in beta
* [misc]taylor:  Taking taylor expansion of (exp (* 4 (log (/ 1 beta)))) in beta
* [misc]taylor:  Taking taylor expansion of (* 4 (log (/ 1 beta))) in beta
* [misc]taylor:  Taking taylor expansion of 4 in beta
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (log (/ 1 beta)) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (log 1) into 0
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log beta)) 0) into (- (log beta))
* [misc]backup-simplify:  Simplify (* 4 (- (log beta))) into (* -4 (log beta))
* [misc]backup-simplify:  Simplify (exp (* -4 (log beta))) into (pow beta -4)
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]backup-simplify:  Simplify (/ (pow beta -4) (/ 1 i)) into (/ i (pow beta 4))
* [misc]taylor:  Taking taylor expansion of (/ (pow (/ 1 beta) 4) (/ 1 i)) in beta
* [misc]taylor:  Taking taylor expansion of (pow (/ 1 beta) 4) in beta
* [misc]taylor:  Taking taylor expansion of (exp (* 4 (log (/ 1 beta)))) in beta
* [misc]taylor:  Taking taylor expansion of (* 4 (log (/ 1 beta))) in beta
* [misc]taylor:  Taking taylor expansion of 4 in beta
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (log (/ 1 beta)) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (log 1) into 0
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log beta)) 0) into (- (log beta))
* [misc]backup-simplify:  Simplify (* 4 (- (log beta))) into (* -4 (log beta))
* [misc]backup-simplify:  Simplify (exp (* -4 (log beta))) into (pow beta -4)
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]backup-simplify:  Simplify (/ (pow beta -4) (/ 1 i)) into (/ i (pow beta 4))
* [misc]taylor:  Taking taylor expansion of (/ i (pow beta 4)) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow beta 4) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 4 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 4 (log beta)) into (* 4 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 4 (log beta))) into (pow beta 4)
* [misc]backup-simplify:  Simplify (/ 1 (pow beta 4)) into (/ 1 (pow beta 4))
* [misc]backup-simplify:  Simplify (/ 1 (pow beta 4)) into (/ 1 (pow beta 4))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log beta)) 0) into (- (log beta))
* [misc]backup-simplify:  Simplify (+ (* 4 0) (* 0 (- (log beta)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* -4 (log beta))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (/ 1 i)) (+ (* (/ i (pow beta 4)) (/ 0 (/ 1 i))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow beta 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 0) (* 0 (log beta))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 4 (log beta))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (pow beta 4)) (+ (* (/ 1 (pow beta 4)) (/ 0 (pow beta 4))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log beta)) 0) into (- (log beta))
* [misc]backup-simplify:  Simplify (+ (* 4 0) (+ (* 0 0) (* 0 (- (log beta))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* -4 (log beta))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 i) (/ 0 i)) (* 0 (/ 0 i)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (/ 1 i)) (+ (* (/ i (pow beta 4)) (/ 0 (/ 1 i))) (* 0 (/ 0 (/ 1 i))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow beta 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow beta 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 0) (+ (* 0 0) (* 0 (log beta)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 4 (log beta))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (pow beta 4)) (+ (* (/ 1 (pow beta 4)) (/ 0 (pow beta 4))) (* 0 (/ 0 (pow beta 4))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log beta)) 0) into (- (log beta))
* [misc]backup-simplify:  Simplify (+ (* 4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log beta)))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* -4 (log beta))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 i) (/ 0 i)) (* 0 (/ 0 i)) (* 0 (/ 0 i)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (/ 1 i)) (+ (* (/ i (pow beta 4)) (/ 0 (/ 1 i))) (* 0 (/ 0 (/ 1 i))) (* 0 (/ 0 (/ 1 i))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* (/ 1 (pow beta 4)) (* (/ 1 i) 1)) into (/ 1 (* (pow beta 4) i))
* [misc]approximate:  Taking taylor expansion of (/ (pow (/ 1 (- beta)) 4) (/ 1 (- i))) in (beta i) around 0
* [misc]taylor:  Taking taylor expansion of (/ (pow (/ 1 (- beta)) 4) (/ 1 (- i))) in i
* [misc]taylor:  Taking taylor expansion of (pow (/ 1 (- beta)) 4) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 4 (log (/ 1 (- beta))))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (log (/ 1 (- beta)))) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (log (/ 1 (- beta))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in i
* [misc]taylor:  Taking taylor expansion of (- beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]backup-simplify:  Simplify (log (/ -1 beta)) into (log (/ -1 beta))
* [misc]backup-simplify:  Simplify (* 4 (log (/ -1 beta))) into (* 4 (log (/ -1 beta)))
* [misc]backup-simplify:  Simplify (exp (* 4 (log (/ -1 beta)))) into (pow (/ -1 beta) 4)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in i
* [misc]taylor:  Taking taylor expansion of (- i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (/ (pow (/ -1 beta) 4) -1) into (/ -1 (pow beta 4))
* [misc]taylor:  Taking taylor expansion of (/ (pow (/ 1 (- beta)) 4) (/ 1 (- i))) in beta
* [misc]taylor:  Taking taylor expansion of (pow (/ 1 (- beta)) 4) in beta
* [misc]taylor:  Taking taylor expansion of (exp (* 4 (log (/ 1 (- beta))))) in beta
* [misc]taylor:  Taking taylor expansion of (* 4 (log (/ 1 (- beta)))) in beta
* [misc]taylor:  Taking taylor expansion of 4 in beta
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (log (/ 1 (- beta))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (log -1) into (log -1)
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log beta)) (log -1)) into (- (log -1) (log beta))
* [misc]backup-simplify:  Simplify (* 4 (- (log -1) (log beta))) into (* 4 (- (log -1) (log beta)))
* [misc]backup-simplify:  Simplify (exp (* 4 (- (log -1) (log beta)))) into (exp (* 4 (- (log -1) (log beta))))
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in beta
* [misc]taylor:  Taking taylor expansion of (- i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]backup-simplify:  Simplify (/ (exp (* 4 (- (log -1) (log beta)))) (/ -1 i)) into (* -1 (* (exp (* 4 (- (log -1) (log beta)))) i))
* [misc]taylor:  Taking taylor expansion of (/ (pow (/ 1 (- beta)) 4) (/ 1 (- i))) in beta
* [misc]taylor:  Taking taylor expansion of (pow (/ 1 (- beta)) 4) in beta
* [misc]taylor:  Taking taylor expansion of (exp (* 4 (log (/ 1 (- beta))))) in beta
* [misc]taylor:  Taking taylor expansion of (* 4 (log (/ 1 (- beta)))) in beta
* [misc]taylor:  Taking taylor expansion of 4 in beta
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (log (/ 1 (- beta))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (log -1) into (log -1)
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log beta)) (log -1)) into (- (log -1) (log beta))
* [misc]backup-simplify:  Simplify (* 4 (- (log -1) (log beta))) into (* 4 (- (log -1) (log beta)))
* [misc]backup-simplify:  Simplify (exp (* 4 (- (log -1) (log beta)))) into (exp (* 4 (- (log -1) (log beta))))
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in beta
* [misc]taylor:  Taking taylor expansion of (- i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]backup-simplify:  Simplify (/ (exp (* 4 (- (log -1) (log beta)))) (/ -1 i)) into (* -1 (* (exp (* 4 (- (log -1) (log beta)))) i))
* [misc]taylor:  Taking taylor expansion of (* -1 (* (exp (* 4 (- (log -1) (log beta)))) i)) in i
* [misc]taylor:  Taking taylor expansion of -1 in i
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]taylor:  Taking taylor expansion of (* (exp (* 4 (- (log -1) (log beta)))) i) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 4 (- (log -1) (log beta)))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (- (log -1) (log beta))) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (- (log -1) (log beta)) in i
* [misc]taylor:  Taking taylor expansion of (log -1) in i
* [misc]taylor:  Taking taylor expansion of -1 in i
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]backup-simplify:  Simplify (log -1) into (log -1)
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (- (log beta)) into (- (log beta))
* [misc]backup-simplify:  Simplify (+ (log -1) (- (log beta))) into (- (log -1) (log beta))
* [misc]backup-simplify:  Simplify (* 4 (- (log -1) (log beta))) into (* 4 (- (log -1) (log beta)))
* [misc]backup-simplify:  Simplify (exp (* 4 (- (log -1) (log beta)))) into (exp (* 4 (- (log -1) (log beta))))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow beta 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 0) (* 0 (- (log -1) (log beta)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 4 (- (log -1) (log beta)))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (exp (* 4 (- (log -1) (log beta)))) 1) (* 0 0)) into (exp (* 4 (- (log -1) (log beta))))
* [misc]backup-simplify:  Simplify (* (exp (* 4 (- (log -1) (log beta)))) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 (exp (* 4 (- (log -1) (log beta))))) (* 0 0)) into (- (exp (* 4 (- (log -1) (log beta)))))
* [misc]backup-simplify:  Simplify (- (exp (* 4 (- (log -1) (log beta))))) into (- (exp (* 4 (- (log -1) (log beta)))))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log beta)) (log -1)) into (- (log -1) (log beta))
* [misc]backup-simplify:  Simplify (+ (* 4 0) (* 0 (- (log -1) (log beta)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 4 (- (log -1) (log beta)))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 i) (/ 0 (- i))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (/ -1 i)) (+ (* (* -1 (* (exp (* 4 (- (log -1) (log beta)))) i)) (/ 0 (/ -1 i))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow beta 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow beta 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 0) (+ (* 0 0) (* 0 (- (log -1) (log beta))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 4 (- (log -1) (log beta)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (exp (* 4 (- (log -1) (log beta)))) 0) (+ (* 0 1) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 (exp (* 4 (- (log -1) (log beta))))) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log beta)) (log -1)) into (- (log -1) (log beta))
* [misc]backup-simplify:  Simplify (+ (* 4 0) (+ (* 0 0) (* 0 (- (log -1) (log beta))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 4 (- (log -1) (log beta)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 i) (/ 0 (- i))) (* 0 (/ 0 (- i))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (/ -1 i)) (+ (* (* -1 (* (exp (* 4 (- (log -1) (log beta)))) i)) (/ 0 (/ -1 i))) (* 0 (/ 0 (/ -1 i))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow -1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -1 1)))) 6) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow beta 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow beta 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow beta 1)))) 6) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -1) (log beta)))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 4 (- (log -1) (log beta)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (exp (* 4 (- (log -1) (log beta)))) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 (exp (* 4 (- (log -1) (log beta))))) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow -1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -1 1)))) 6) into 0
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log beta)) (log -1)) into (- (log -1) (log beta))
* [misc]backup-simplify:  Simplify (+ (* 4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -1) (log beta)))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 4 (- (log -1) (log beta)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 i) (/ 0 (- i))) (* 0 (/ 0 (- i))) (* 0 (/ 0 (- i))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (/ -1 i)) (+ (* (* -1 (* (exp (* 4 (- (log -1) (log beta)))) i)) (/ 0 (/ -1 i))) (* 0 (/ 0 (/ -1 i))) (* 0 (/ 0 (/ -1 i))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* (- (exp (* 4 (- (log -1) (log beta))))) (* (/ 1 (- i)) 1)) into (/ (exp (* 4 (- (log -1) (log beta)))) i)
* [misc]approximate:  Taking taylor expansion of (/ (fma (/ 1 i) (+ (/ 1 alpha) (+ (/ 1 beta) (/ 1 i))) (/ 1 (* beta alpha))) (/ (pow beta 4) i)) in (i alpha beta) around 0
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) (+ (/ 1 alpha) (+ (/ 1 beta) (/ 1 i))) (/ 1 (* beta alpha))) (/ (pow beta 4) i)) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 alpha) (+ (/ 1 beta) (/ 1 i))) (/ 1 (* beta alpha))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 alpha) (+ (/ 1 beta) (/ 1 i))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (pow beta 4) i) in beta
* [misc]taylor:  Taking taylor expansion of (pow beta 4) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (/ 1 i)) into (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) (+ (/ 1 alpha) (+ (/ 1 beta) (/ 1 i))) (/ 1 (* beta alpha))) (/ (pow beta 4) i)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 alpha) (+ (/ 1 beta) (/ 1 i))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 alpha) (+ (/ 1 beta) (/ 1 i))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (pow beta 4) i) in alpha
* [misc]taylor:  Taking taylor expansion of (pow beta 4) in alpha
* [misc]taylor:  Taking taylor expansion of (exp (* 4 (log beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 4 (log beta)) in alpha
* [misc]taylor:  Taking taylor expansion of 4 in alpha
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (log beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 4 (log beta)) into (* 4 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 4 (log beta))) into (pow beta 4)
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ (pow beta 4) i) into (/ (pow beta 4) i)
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (/ (pow beta 4) i)) into (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) (pow beta 4))
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) (+ (/ 1 alpha) (+ (/ 1 beta) (/ 1 i))) (/ 1 (* beta alpha))) (/ (pow beta 4) i)) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 alpha) (+ (/ 1 beta) (/ 1 i))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 alpha) (+ (/ 1 beta) (/ 1 i))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (pow beta 4) i) in i
* [misc]taylor:  Taking taylor expansion of (pow beta 4) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 4 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 4 (log beta)) into (* 4 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 4 (log beta))) into (pow beta 4)
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ (pow beta 4) 1) into (pow beta 4)
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (pow beta 4)) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (pow beta 4))
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) (+ (/ 1 alpha) (+ (/ 1 beta) (/ 1 i))) (/ 1 (* beta alpha))) (/ (pow beta 4) i)) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 alpha) (+ (/ 1 beta) (/ 1 i))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 alpha) (+ (/ 1 beta) (/ 1 i))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (pow beta 4) i) in i
* [misc]taylor:  Taking taylor expansion of (pow beta 4) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 4 (log beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (log beta)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (log beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 4 (log beta)) into (* 4 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 4 (log beta))) into (pow beta 4)
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ (pow beta 4) 1) into (pow beta 4)
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (pow beta 4)) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (pow beta 4))
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (pow beta 4)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (pow beta 4) in alpha
* [misc]taylor:  Taking taylor expansion of (exp (* 4 (log beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 4 (log beta)) in alpha
* [misc]taylor:  Taking taylor expansion of 4 in alpha
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (log beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 4 (log beta)) into (* 4 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 4 (log beta))) into (pow beta 4)
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (pow beta 4)) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (pow beta 4))
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (pow beta 4)) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (pow beta 4) in beta
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 1) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow beta 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 0) (* 0 (log beta))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 4 (log beta))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (pow beta 4) (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (pow beta 4)) (+ (* (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (pow beta 4)) (/ 0 (pow beta 4))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow beta 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 0) (* 0 (log beta))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 4 (log beta))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (pow beta 4)) (+ (* (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (pow beta 4)) (/ 0 (pow beta 4))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow beta 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow beta 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 0) (+ (* 0 0) (* 0 (log beta)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 4 (log beta))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (pow beta 4) (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (pow beta 4)) (+ (* (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (pow beta 4)) (/ 0 (pow beta 4))) (* 0 (/ 0 (pow beta 4))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow beta 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow beta 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 0) (+ (* 0 0) (* 0 (log beta)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 4 (log beta))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (pow beta 4)) (+ (* (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (pow beta 4)) (/ 0 (pow beta 4))) (* 0 (/ 0 (pow beta 4))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow beta 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow beta 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow beta 1)))) 6) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log beta))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 4 (log beta))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (pow beta 4) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (pow beta 4)) (+ (* (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (pow beta 4)) (/ 0 (pow beta 4))) (* 0 (/ 0 (pow beta 4))) (* 0 (/ 0 (pow beta 4))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow beta 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow beta 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow beta 1)))) 6) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log beta))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 4 (log beta))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (pow beta 4)) (+ (* (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (pow beta 4)) (/ 0 (pow beta 4))) (* 0 (/ 0 (pow beta 4))) (* 0 (/ 0 (pow beta 4))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow beta 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow beta 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow beta 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow beta 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow beta 1)))) 24) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log beta)))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 4 (log beta))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (pow beta 4) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (pow beta 4)) (+ (* (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (pow beta 4)) (/ 0 (pow beta 4))) (* 0 (/ 0 (pow beta 4))) (* 0 (/ 0 (pow beta 4))) (* 0 (/ 0 (pow beta 4))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow beta 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow beta 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow beta 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow beta 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow beta 1)))) 24) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log beta)))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 4 (log beta))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (pow beta 4)) (+ (* (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (pow beta 4)) (/ 0 (pow beta 4))) (* 0 (/ 0 (pow beta 4))) (* 0 (/ 0 (pow beta 4))) (* 0 (/ 0 (pow beta 4))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow beta 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow beta 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow beta 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow beta 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow beta 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow beta 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow beta 1)))) 120) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log beta))))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 4 (log beta))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (pow beta 4) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (pow beta 4)) (+ (* (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (pow beta 4)) (/ 0 (pow beta 4))) (* 0 (/ 0 (pow beta 4))) (* 0 (/ 0 (pow beta 4))) (* 0 (/ 0 (pow beta 4))) (* 0 (/ 0 (pow beta 4))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow beta 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow beta 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow beta 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow beta 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow beta 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow beta 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow beta 1)))) 120) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log beta))))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 4 (log beta))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (pow beta 4)) (+ (* (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (pow beta 4)) (/ 0 (pow beta 4))) (* 0 (/ 0 (pow beta 4))) (* 0 (/ 0 (pow beta 4))) (* 0 (/ 0 (pow beta 4))) (* 0 (/ 0 (pow beta 4))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (pow beta -4) (* 1 i))) into (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) (pow beta 4))
* [misc]approximate:  Taking taylor expansion of (/ (fma (/ 1 (/ 1 i)) (+ (/ 1 (/ 1 alpha)) (+ (/ 1 (/ 1 beta)) (/ 1 (/ 1 i)))) (/ 1 (* (/ 1 beta) (/ 1 alpha)))) (/ (pow (/ 1 beta) 4) (/ 1 i))) in (i alpha beta) around 0
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 (/ 1 i)) (+ (/ 1 (/ 1 alpha)) (+ (/ 1 (/ 1 beta)) (/ 1 (/ 1 i)))) (/ 1 (* (/ 1 beta) (/ 1 alpha)))) (/ (pow (/ 1 beta) 4) (/ 1 i))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (/ 1 i)) (+ (/ 1 (/ 1 alpha)) (+ (/ 1 (/ 1 beta)) (/ 1 (/ 1 i)))) (/ 1 (* (/ 1 beta) (/ 1 alpha)))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (/ 1 i)) (+ (/ 1 (/ 1 alpha)) (+ (/ 1 (/ 1 beta)) (/ 1 (/ 1 i)))) (/ 1 (* (/ 1 beta) (/ 1 alpha)))) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (/ (pow (/ 1 beta) 4) (/ 1 i)) in beta
* [misc]taylor:  Taking taylor expansion of (pow (/ 1 beta) 4) in beta
* [misc]taylor:  Taking taylor expansion of (exp (* 4 (log (/ 1 beta)))) in beta
* [misc]taylor:  Taking taylor expansion of (* 4 (log (/ 1 beta))) in beta
* [misc]taylor:  Taking taylor expansion of 4 in beta
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (log (/ 1 beta)) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (log 1) into 0
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log beta)) 0) into (- (log beta))
* [misc]backup-simplify:  Simplify (* 4 (- (log beta))) into (* -4 (log beta))
* [misc]backup-simplify:  Simplify (exp (* -4 (log beta))) into (pow beta -4)
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]backup-simplify:  Simplify (/ (pow beta -4) (/ 1 i)) into (/ i (pow beta 4))
* [misc]backup-simplify:  Simplify (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (/ i (pow beta 4))) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (pow beta 4)) i)
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 (/ 1 i)) (+ (/ 1 (/ 1 alpha)) (+ (/ 1 (/ 1 beta)) (/ 1 (/ 1 i)))) (/ 1 (* (/ 1 beta) (/ 1 alpha)))) (/ (pow (/ 1 beta) 4) (/ 1 i))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (/ 1 i)) (+ (/ 1 (/ 1 alpha)) (+ (/ 1 (/ 1 beta)) (/ 1 (/ 1 i)))) (/ 1 (* (/ 1 beta) (/ 1 alpha)))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 (/ 1 i)) (+ (/ 1 (/ 1 alpha)) (+ (/ 1 (/ 1 beta)) (/ 1 (/ 1 i)))) (/ 1 (* (/ 1 beta) (/ 1 alpha)))) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (/ (pow (/ 1 beta) 4) (/ 1 i)) in alpha
* [misc]taylor:  Taking taylor expansion of (pow (/ 1 beta) 4) in alpha
* [misc]taylor:  Taking taylor expansion of (exp (* 4 (log (/ 1 beta)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 4 (log (/ 1 beta))) in alpha
* [misc]taylor:  Taking taylor expansion of 4 in alpha
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (log (/ 1 beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]backup-simplify:  Simplify (log (/ 1 beta)) into (log (/ 1 beta))
* [misc]backup-simplify:  Simplify (* 4 (log (/ 1 beta))) into (* 4 (log (/ 1 beta)))
* [misc]backup-simplify:  Simplify (exp (* 4 (log (/ 1 beta)))) into (pow (/ 1 beta) 4)
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]backup-simplify:  Simplify (/ (pow (/ 1 beta) 4) (/ 1 i)) into (/ i (pow beta 4))
* [misc]backup-simplify:  Simplify (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (/ i (pow beta 4))) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (pow beta 4)) i)
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 (/ 1 i)) (+ (/ 1 (/ 1 alpha)) (+ (/ 1 (/ 1 beta)) (/ 1 (/ 1 i)))) (/ 1 (* (/ 1 beta) (/ 1 alpha)))) (/ (pow (/ 1 beta) 4) (/ 1 i))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (/ 1 i)) (+ (/ 1 (/ 1 alpha)) (+ (/ 1 (/ 1 beta)) (/ 1 (/ 1 i)))) (/ 1 (* (/ 1 beta) (/ 1 alpha)))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 (/ 1 i)) (+ (/ 1 (/ 1 alpha)) (+ (/ 1 (/ 1 beta)) (/ 1 (/ 1 i)))) (/ 1 (* (/ 1 beta) (/ 1 alpha)))) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (/ (pow (/ 1 beta) 4) (/ 1 i)) in i
* [misc]taylor:  Taking taylor expansion of (pow (/ 1 beta) 4) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 4 (log (/ 1 beta)))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (log (/ 1 beta))) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (log (/ 1 beta)) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]backup-simplify:  Simplify (log (/ 1 beta)) into (log (/ 1 beta))
* [misc]backup-simplify:  Simplify (* 4 (log (/ 1 beta))) into (* 4 (log (/ 1 beta)))
* [misc]backup-simplify:  Simplify (exp (* 4 (log (/ 1 beta)))) into (pow (/ 1 beta) 4)
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (/ (pow (/ 1 beta) 4) 1) into (/ 1 (pow beta 4))
* [misc]backup-simplify:  Simplify (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (/ 1 (pow beta 4))) into (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (pow beta 4))
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 (/ 1 i)) (+ (/ 1 (/ 1 alpha)) (+ (/ 1 (/ 1 beta)) (/ 1 (/ 1 i)))) (/ 1 (* (/ 1 beta) (/ 1 alpha)))) (/ (pow (/ 1 beta) 4) (/ 1 i))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (/ 1 i)) (+ (/ 1 (/ 1 alpha)) (+ (/ 1 (/ 1 beta)) (/ 1 (/ 1 i)))) (/ 1 (* (/ 1 beta) (/ 1 alpha)))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 (/ 1 i)) (+ (/ 1 (/ 1 alpha)) (+ (/ 1 (/ 1 beta)) (/ 1 (/ 1 i)))) (/ 1 (* (/ 1 beta) (/ 1 alpha)))) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (/ (pow (/ 1 beta) 4) (/ 1 i)) in i
* [misc]taylor:  Taking taylor expansion of (pow (/ 1 beta) 4) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 4 (log (/ 1 beta)))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (log (/ 1 beta))) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (log (/ 1 beta)) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]backup-simplify:  Simplify (log (/ 1 beta)) into (log (/ 1 beta))
* [misc]backup-simplify:  Simplify (* 4 (log (/ 1 beta))) into (* 4 (log (/ 1 beta)))
* [misc]backup-simplify:  Simplify (exp (* 4 (log (/ 1 beta)))) into (pow (/ 1 beta) 4)
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (/ (pow (/ 1 beta) 4) 1) into (/ 1 (pow beta 4))
* [misc]backup-simplify:  Simplify (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (/ 1 (pow beta 4))) into (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (pow beta 4))
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (pow beta 4)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (pow beta 4) in alpha
* [misc]taylor:  Taking taylor expansion of (exp (* 4 (log beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 4 (log beta)) in alpha
* [misc]taylor:  Taking taylor expansion of 4 in alpha
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (log beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 4 (log beta)) into (* 4 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 4 (log beta))) into (pow beta 4)
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (pow beta 4)) into (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (pow beta 4))
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (pow beta 4)) in beta
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in beta
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (pow beta 4) in beta
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 beta) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 0) (* 0 (log (/ 1 beta)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 4 (log (/ 1 beta)))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (/ 1 (pow beta 4)) (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (/ 1 (pow beta 4))) (+ (* (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (pow beta 4)) (/ 0 (/ 1 (pow beta 4)))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow beta 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 0) (* 0 (log beta))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 4 (log beta))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) (* 0 (pow beta 4))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 beta) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 beta) 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 0) (+ (* 0 0) (* 0 (log (/ 1 beta))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 4 (log (/ 1 beta)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (/ 1 (pow beta 4)) (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (/ 1 (pow beta 4))) (+ (* (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (pow beta 4)) (/ 0 (/ 1 (pow beta 4)))) (* 0 (/ 0 (/ 1 (pow beta 4)))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow beta 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow beta 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 0) (+ (* 0 0) (* 0 (log beta)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 4 (log beta))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) (+ (* 0 0) (* 0 (pow beta 4)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]approximate:  Taking taylor expansion of (/ (fma (/ 1 (/ 1 (- i))) (+ (/ 1 (/ 1 (- alpha))) (+ (/ 1 (/ 1 (- beta))) (/ 1 (/ 1 (- i))))) (/ 1 (* (/ 1 (- beta)) (/ 1 (- alpha))))) (/ (pow (/ 1 (- beta)) 4) (/ 1 (- i)))) in (i alpha beta) around 0
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 (/ 1 (- i))) (+ (/ 1 (/ 1 (- alpha))) (+ (/ 1 (/ 1 (- beta))) (/ 1 (/ 1 (- i))))) (/ 1 (* (/ 1 (- beta)) (/ 1 (- alpha))))) (/ (pow (/ 1 (- beta)) 4) (/ 1 (- i)))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (/ 1 (- i))) (+ (/ 1 (/ 1 (- alpha))) (+ (/ 1 (/ 1 (- beta))) (/ 1 (/ 1 (- i))))) (/ 1 (* (/ 1 (- beta)) (/ 1 (- alpha))))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (/ 1 (- i))) (+ (/ 1 (/ 1 (- alpha))) (+ (/ 1 (/ 1 (- beta))) (/ 1 (/ 1 (- i))))) (/ 1 (* (/ 1 (- beta)) (/ 1 (- alpha))))) into (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (/ (pow (/ 1 (- beta)) 4) (/ 1 (- i))) in beta
* [misc]taylor:  Taking taylor expansion of (pow (/ 1 (- beta)) 4) in beta
* [misc]taylor:  Taking taylor expansion of (exp (* 4 (log (/ 1 (- beta))))) in beta
* [misc]taylor:  Taking taylor expansion of (* 4 (log (/ 1 (- beta)))) in beta
* [misc]taylor:  Taking taylor expansion of 4 in beta
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (log (/ 1 (- beta))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (log -1) into (log -1)
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log beta)) (log -1)) into (- (log -1) (log beta))
* [misc]backup-simplify:  Simplify (* 4 (- (log -1) (log beta))) into (* 4 (- (log -1) (log beta)))
* [misc]backup-simplify:  Simplify (exp (* 4 (- (log -1) (log beta)))) into (exp (* 4 (- (log -1) (log beta))))
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in beta
* [misc]taylor:  Taking taylor expansion of (- i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]backup-simplify:  Simplify (/ (exp (* 4 (- (log -1) (log beta)))) (/ -1 i)) into (* -1 (* (exp (* 4 (- (log -1) (log beta)))) i))
* [misc]backup-simplify:  Simplify (/ (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) (* -1 (* (exp (* 4 (- (log -1) (log beta)))) i))) into (* -1 (/ (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) (* (exp (* 4 (- (log -1) (log beta)))) i)))
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 (/ 1 (- i))) (+ (/ 1 (/ 1 (- alpha))) (+ (/ 1 (/ 1 (- beta))) (/ 1 (/ 1 (- i))))) (/ 1 (* (/ 1 (- beta)) (/ 1 (- alpha))))) (/ (pow (/ 1 (- beta)) 4) (/ 1 (- i)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (/ 1 (- i))) (+ (/ 1 (/ 1 (- alpha))) (+ (/ 1 (/ 1 (- beta))) (/ 1 (/ 1 (- i))))) (/ 1 (* (/ 1 (- beta)) (/ 1 (- alpha))))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 (/ 1 (- i))) (+ (/ 1 (/ 1 (- alpha))) (+ (/ 1 (/ 1 (- beta))) (/ 1 (/ 1 (- i))))) (/ 1 (* (/ 1 (- beta)) (/ 1 (- alpha))))) into (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (/ (pow (/ 1 (- beta)) 4) (/ 1 (- i))) in alpha
* [misc]taylor:  Taking taylor expansion of (pow (/ 1 (- beta)) 4) in alpha
* [misc]taylor:  Taking taylor expansion of (exp (* 4 (log (/ 1 (- beta))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 4 (log (/ 1 (- beta)))) in alpha
* [misc]taylor:  Taking taylor expansion of 4 in alpha
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (log (/ 1 (- beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]backup-simplify:  Simplify (log (/ -1 beta)) into (log (/ -1 beta))
* [misc]backup-simplify:  Simplify (* 4 (log (/ -1 beta))) into (* 4 (log (/ -1 beta)))
* [misc]backup-simplify:  Simplify (exp (* 4 (log (/ -1 beta)))) into (pow (/ -1 beta) 4)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in alpha
* [misc]taylor:  Taking taylor expansion of (- i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]backup-simplify:  Simplify (/ (pow (/ -1 beta) 4) (/ -1 i)) into (* -1 (/ i (pow beta 4)))
* [misc]backup-simplify:  Simplify (/ (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) (* -1 (/ i (pow beta 4)))) into (* -1 (/ (* (pow beta 4) (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))) i))
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 (/ 1 (- i))) (+ (/ 1 (/ 1 (- alpha))) (+ (/ 1 (/ 1 (- beta))) (/ 1 (/ 1 (- i))))) (/ 1 (* (/ 1 (- beta)) (/ 1 (- alpha))))) (/ (pow (/ 1 (- beta)) 4) (/ 1 (- i)))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (/ 1 (- i))) (+ (/ 1 (/ 1 (- alpha))) (+ (/ 1 (/ 1 (- beta))) (/ 1 (/ 1 (- i))))) (/ 1 (* (/ 1 (- beta)) (/ 1 (- alpha))))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 (/ 1 (- i))) (+ (/ 1 (/ 1 (- alpha))) (+ (/ 1 (/ 1 (- beta))) (/ 1 (/ 1 (- i))))) (/ 1 (* (/ 1 (- beta)) (/ 1 (- alpha))))) into (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (/ (pow (/ 1 (- beta)) 4) (/ 1 (- i))) in i
* [misc]taylor:  Taking taylor expansion of (pow (/ 1 (- beta)) 4) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 4 (log (/ 1 (- beta))))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (log (/ 1 (- beta)))) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (log (/ 1 (- beta))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in i
* [misc]taylor:  Taking taylor expansion of (- beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]backup-simplify:  Simplify (log (/ -1 beta)) into (log (/ -1 beta))
* [misc]backup-simplify:  Simplify (* 4 (log (/ -1 beta))) into (* 4 (log (/ -1 beta)))
* [misc]backup-simplify:  Simplify (exp (* 4 (log (/ -1 beta)))) into (pow (/ -1 beta) 4)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in i
* [misc]taylor:  Taking taylor expansion of (- i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (/ (pow (/ -1 beta) 4) -1) into (/ -1 (pow beta 4))
* [misc]backup-simplify:  Simplify (/ (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) (/ -1 (pow beta 4))) into (* -1 (* (pow beta 4) (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))))
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 (/ 1 (- i))) (+ (/ 1 (/ 1 (- alpha))) (+ (/ 1 (/ 1 (- beta))) (/ 1 (/ 1 (- i))))) (/ 1 (* (/ 1 (- beta)) (/ 1 (- alpha))))) (/ (pow (/ 1 (- beta)) 4) (/ 1 (- i)))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (/ 1 (- i))) (+ (/ 1 (/ 1 (- alpha))) (+ (/ 1 (/ 1 (- beta))) (/ 1 (/ 1 (- i))))) (/ 1 (* (/ 1 (- beta)) (/ 1 (- alpha))))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 (/ 1 (- i))) (+ (/ 1 (/ 1 (- alpha))) (+ (/ 1 (/ 1 (- beta))) (/ 1 (/ 1 (- i))))) (/ 1 (* (/ 1 (- beta)) (/ 1 (- alpha))))) into (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (/ (pow (/ 1 (- beta)) 4) (/ 1 (- i))) in i
* [misc]taylor:  Taking taylor expansion of (pow (/ 1 (- beta)) 4) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 4 (log (/ 1 (- beta))))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (log (/ 1 (- beta)))) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (log (/ 1 (- beta))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in i
* [misc]taylor:  Taking taylor expansion of (- beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]backup-simplify:  Simplify (log (/ -1 beta)) into (log (/ -1 beta))
* [misc]backup-simplify:  Simplify (* 4 (log (/ -1 beta))) into (* 4 (log (/ -1 beta)))
* [misc]backup-simplify:  Simplify (exp (* 4 (log (/ -1 beta)))) into (pow (/ -1 beta) 4)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in i
* [misc]taylor:  Taking taylor expansion of (- i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (/ (pow (/ -1 beta) 4) -1) into (/ -1 (pow beta 4))
* [misc]backup-simplify:  Simplify (/ (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) (/ -1 (pow beta 4))) into (* -1 (* (pow beta 4) (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))))
* [misc]taylor:  Taking taylor expansion of (* -1 (* (pow beta 4) (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of -1 in alpha
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]taylor:  Taking taylor expansion of (* (pow beta 4) (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (pow beta 4) in alpha
* [misc]taylor:  Taking taylor expansion of (exp (* 4 (log beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 4 (log beta)) in alpha
* [misc]taylor:  Taking taylor expansion of 4 in alpha
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (log beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (log beta) into (log beta)
* [misc]backup-simplify:  Simplify (* 4 (log beta)) into (* 4 (log beta))
* [misc]backup-simplify:  Simplify (exp (* 4 (log beta))) into (pow beta 4)
* [misc]taylor:  Taking taylor expansion of (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) into (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))
* [misc]backup-simplify:  Simplify (* (pow beta 4) (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))) into (* (pow beta 4) (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)))
* [misc]backup-simplify:  Simplify (* -1 (* (pow beta 4) (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)))) into (* -1 (* (pow beta 4) (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))))
* [misc]taylor:  Taking taylor expansion of (* -1 (* (pow beta 4) (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of -1 in beta
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]taylor:  Taking taylor expansion of (* (pow beta 4) (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (pow beta 4) in beta
* [misc]taylor:  Taking taylor expansion of (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) in beta
* [misc]backup-simplify:  Simplify (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) into (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 beta) (/ 0 (- beta))))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ -1 beta) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 0) (* 0 (log (/ -1 beta)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 4 (log (/ -1 beta)))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 -1) (+ (* (/ -1 (pow beta 4)) (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (/ -1 (pow beta 4))) (+ (* (* -1 (* (pow beta 4) (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)))) (/ 0 (/ -1 (pow beta 4)))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow beta 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 0) (* 0 (log beta))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 4 (log beta))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow beta 4) 0) (* 0 (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* 0 (* (pow beta 4) (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 beta) (/ 0 (- beta))) (* 0 (/ 0 (- beta))))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ -1 beta) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ -1 beta) 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 0) (+ (* 0 0) (* 0 (log (/ -1 beta))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 4 (log (/ -1 beta)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 -1) (+ (* (/ -1 (pow beta 4)) (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (/ -1 (pow beta 4))) (+ (* (* -1 (* (pow beta 4) (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)))) (/ 0 (/ -1 (pow beta 4)))) (* 0 (/ 0 (/ -1 (pow beta 4)))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow beta 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow beta 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 0) (+ (* 0 0) (* 0 (log beta)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 4 (log beta))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (pow beta 4) 0) (+ (* 0 0) (* 0 (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (* (pow beta 4) (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* * * [misc]progress:  tayloring alt 7 of 10
* [misc]approximate:  Taking taylor expansion of (/ (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) i) (* (- (sqr (+ beta (fma i 2 alpha))) 1.0) (+ beta (fma i 2 alpha)))) in (beta alpha i) around 0
* [misc]taylor:  Taking taylor expansion of (/ (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) i) (* (- (sqr (+ beta (fma i 2 alpha))) 1.0) (+ beta (fma i 2 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) i) in i
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) in i
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (+ (+ beta alpha) i) in i
* [misc]taylor:  Taking taylor expansion of (+ beta alpha) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ beta alpha) into (+ beta alpha)
* [misc]backup-simplify:  Simplify (+ (+ beta alpha) 0) into (+ beta alpha)
* [misc]backup-simplify:  Simplify (+ beta (fma i 2 alpha)) into (+ beta (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (/ (+ beta alpha) (+ beta (fma i 2 alpha))) into (/ (+ beta alpha) (+ beta (fma i 2 alpha)))
* [misc]taylor:  Taking taylor expansion of (fma i (+ (+ beta alpha) i) (* alpha beta)) in i
* [misc]backup-simplify:  Simplify (fma i (+ (+ beta alpha) i) (* alpha beta)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (- (sqr (+ beta (fma i 2 alpha))) 1.0) (+ beta (fma i 2 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (- (sqr (+ beta (fma i 2 alpha))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (sqr (+ beta (fma i 2 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (* (/ (+ beta alpha) (+ beta (fma i 2 alpha))) (fma i (+ beta (+ alpha i)) (* beta alpha))) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (+ beta alpha)) (+ beta (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (* (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (+ beta alpha)) (+ beta (fma i 2 alpha))) 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 1 (+ beta (fma i 2 alpha))) (+ (* (/ (+ beta alpha) (+ beta (fma i 2 alpha))) (/ 0 (+ beta (fma i 2 alpha)))))) into (/ 1 (+ beta (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (+ (* (/ (+ beta alpha) (+ beta (fma i 2 alpha))) 0) (* (/ 1 (+ beta (fma i 2 alpha))) (fma i (+ beta (+ alpha i)) (* beta alpha)))) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (+ beta (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (+ (* (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (+ beta alpha)) (+ beta (fma i 2 alpha))) 1) (* (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (+ beta (fma i 2 alpha))) 0)) into (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) beta) (+ beta (fma i 2 alpha))) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) alpha) (+ beta (fma i 2 alpha))))
* [misc]backup-simplify:  Simplify (+ beta (fma i 2 alpha)) into (+ beta (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* (+ beta (fma i 2 alpha)) (+ beta (fma i 2 alpha))) into (sqr (+ beta (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (+ beta (fma i 2 alpha))) (- 1.0)) into (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0)
* [misc]backup-simplify:  Simplify (+ beta (fma i 2 alpha)) into (+ beta (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0) (+ beta (fma i 2 alpha))) into (* (+ beta (fma i 2 alpha)) (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0))
* [misc]backup-simplify:  Simplify (/ (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) beta) (+ beta (fma i 2 alpha))) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) alpha) (+ beta (fma i 2 alpha)))) (* (+ beta (fma i 2 alpha)) (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0))) into (/ (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) beta) (+ beta (fma i 2 alpha))) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) alpha) (+ beta (fma i 2 alpha)))) (* (+ beta (fma i 2 alpha)) (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0)))
* [misc]taylor:  Taking taylor expansion of (/ (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) i) (* (- (sqr (+ beta (fma i 2 alpha))) 1.0) (+ beta (fma i 2 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) i) in alpha
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ beta alpha) i) in alpha
* [misc]taylor:  Taking taylor expansion of (+ beta alpha) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (+ beta i) into (+ beta i)
* [misc]backup-simplify:  Simplify (+ beta (fma i 2 alpha)) into (+ beta (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (/ (+ beta i) (+ beta (fma i 2 alpha))) into (/ (+ beta i) (+ beta (fma i 2 alpha)))
* [misc]taylor:  Taking taylor expansion of (fma i (+ (+ beta alpha) i) (* alpha beta)) in alpha
* [misc]backup-simplify:  Simplify (fma i (+ (+ beta alpha) i) (* alpha beta)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (* (- (sqr (+ beta (fma i 2 alpha))) 1.0) (+ beta (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (- (sqr (+ beta (fma i 2 alpha))) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (+ beta (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (* (/ (+ beta i) (+ beta (fma i 2 alpha))) (fma i (+ beta (+ alpha i)) (* beta alpha))) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (+ beta i)) (+ beta (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (* (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (+ beta i)) (+ beta (fma i 2 alpha))) i) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* i (+ beta i))) (+ beta (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (+ beta (fma i 2 alpha)) into (+ beta (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* (+ beta (fma i 2 alpha)) (+ beta (fma i 2 alpha))) into (sqr (+ beta (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (+ beta (fma i 2 alpha))) (- 1.0)) into (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0)
* [misc]backup-simplify:  Simplify (+ beta (fma i 2 alpha)) into (+ beta (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0) (+ beta (fma i 2 alpha))) into (* (+ beta (fma i 2 alpha)) (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0))
* [misc]backup-simplify:  Simplify (/ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* i (+ beta i))) (+ beta (fma i 2 alpha))) (* (+ beta (fma i 2 alpha)) (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0))) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* i (+ beta i))) (* (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0) (sqr (+ beta (fma i 2 alpha)))))
* [misc]taylor:  Taking taylor expansion of (/ (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) i) (* (- (sqr (+ beta (fma i 2 alpha))) 1.0) (+ beta (fma i 2 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) i) in beta
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ beta alpha) i) in beta
* [misc]taylor:  Taking taylor expansion of (+ beta alpha) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in beta
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ 0 alpha) into alpha
* [misc]backup-simplify:  Simplify (+ alpha i) into (+ alpha i)
* [misc]backup-simplify:  Simplify (+ 0 (fma i 2 alpha)) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (/ (+ alpha i) (fma i 2 alpha)) into (/ (+ alpha i) (fma i 2 alpha))
* [misc]taylor:  Taking taylor expansion of (fma i (+ (+ beta alpha) i) (* alpha beta)) in beta
* [misc]backup-simplify:  Simplify (fma i (+ (+ beta alpha) i) (* alpha beta)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (* (- (sqr (+ beta (fma i 2 alpha))) 1.0) (+ beta (fma i 2 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (- (sqr (+ beta (fma i 2 alpha))) 1.0) in beta
* [misc]taylor:  Taking taylor expansion of (sqr (+ beta (fma i 2 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in beta
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in beta
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (* (/ (+ alpha i) (fma i 2 alpha)) (fma i (+ beta (+ alpha i)) (* beta alpha))) into (/ (* (+ alpha i) (fma i (+ beta (+ alpha i)) (* beta alpha))) (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* (/ (* (+ alpha i) (fma i (+ beta (+ alpha i)) (* beta alpha))) (fma i 2 alpha)) i) into (/ (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (+ 0 (fma i 2 alpha)) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (+ 0 (fma i 2 alpha)) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (* (- (sqr (fma i 2 alpha)) 1.0) (fma i 2 alpha)) into (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (/ (/ (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (fma i 2 alpha)) (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))) into (/ (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]taylor:  Taking taylor expansion of (/ (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) i) (* (- (sqr (+ beta (fma i 2 alpha))) 1.0) (+ beta (fma i 2 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) i) in beta
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ beta alpha) i) in beta
* [misc]taylor:  Taking taylor expansion of (+ beta alpha) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in beta
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ 0 alpha) into alpha
* [misc]backup-simplify:  Simplify (+ alpha i) into (+ alpha i)
* [misc]backup-simplify:  Simplify (+ 0 (fma i 2 alpha)) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (/ (+ alpha i) (fma i 2 alpha)) into (/ (+ alpha i) (fma i 2 alpha))
* [misc]taylor:  Taking taylor expansion of (fma i (+ (+ beta alpha) i) (* alpha beta)) in beta
* [misc]backup-simplify:  Simplify (fma i (+ (+ beta alpha) i) (* alpha beta)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (* (- (sqr (+ beta (fma i 2 alpha))) 1.0) (+ beta (fma i 2 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (- (sqr (+ beta (fma i 2 alpha))) 1.0) in beta
* [misc]taylor:  Taking taylor expansion of (sqr (+ beta (fma i 2 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in beta
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in beta
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (* (/ (+ alpha i) (fma i 2 alpha)) (fma i (+ beta (+ alpha i)) (* beta alpha))) into (/ (* (+ alpha i) (fma i (+ beta (+ alpha i)) (* beta alpha))) (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* (/ (* (+ alpha i) (fma i (+ beta (+ alpha i)) (* beta alpha))) (fma i 2 alpha)) i) into (/ (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (+ 0 (fma i 2 alpha)) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (+ 0 (fma i 2 alpha)) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (* (- (sqr (fma i 2 alpha)) 1.0) (fma i 2 alpha)) into (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (/ (/ (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (fma i 2 alpha)) (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))) into (/ (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]taylor:  Taking taylor expansion of (/ (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (+ 0 i) into i
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) into (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)
* [misc]backup-simplify:  Simplify (* i (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) into (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)) into (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]taylor:  Taking taylor expansion of (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) in i
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in i
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (sqr i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 1) (+ (* 0 0) (* 0 0))) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)) into (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (- (/ 1 (fma i 2 alpha)) (+ (* (/ (+ alpha i) (fma i 2 alpha)) (/ 1 (fma i 2 alpha))))) into (- (/ 1 (fma i 2 alpha)) (+ (/ i (sqr (fma i 2 alpha))) (/ alpha (sqr (fma i 2 alpha)))))
* [misc]backup-simplify:  Simplify (+ (* (/ (+ alpha i) (fma i 2 alpha)) 0) (* (- (/ 1 (fma i 2 alpha)) (+ (/ i (sqr (fma i 2 alpha))) (/ alpha (sqr (fma i 2 alpha))))) (fma i (+ beta (+ alpha i)) (* beta alpha)))) into (- (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha)) (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) alpha) (sqr (fma i 2 alpha))) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha)))))
* [misc]backup-simplify:  Simplify (+ (* (/ (* (+ alpha i) (fma i (+ beta (+ alpha i)) (* beta alpha))) (fma i 2 alpha)) 0) (* (- (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha)) (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) alpha) (sqr (fma i 2 alpha))) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha))))) i)) into (- (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (fma i 2 alpha)) (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (sqr (fma i 2 alpha))) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (sqr (fma i 2 alpha)))))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 1) (* 1 (fma i 2 alpha))) into (* 2 (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 (fma i 2 alpha)) 0) into (* 2 (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (+ (* (- (sqr (fma i 2 alpha)) 1.0) 1) (* (* 2 (fma i 2 alpha)) (fma i 2 alpha))) into (- (* 3 (sqr (fma i 2 alpha))) 1.0)
* [misc]backup-simplify:  Simplify (- (/ (- (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (fma i 2 alpha)) (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (sqr (fma i 2 alpha))) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (sqr (fma i 2 alpha))))) (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))) (+ (* (/ (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (/ (- (* 3 (sqr (fma i 2 alpha))) 1.0) (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))))) into (- (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (+ (* 1.0 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 3) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (* 1.0 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (* (pow (fma i 2 alpha) 3) (sqr (- (sqr (fma i 2 alpha)) 1.0))))))) (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0))) (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0))) (+ (* 3 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (* 3 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))))))
* [misc]taylor:  Taking taylor expansion of (- (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (+ (* 1.0 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 3) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (* 1.0 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (* (pow (fma i 2 alpha) 3) (sqr (- (sqr (fma i 2 alpha)) 1.0))))))) (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0))) (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0))) (+ (* 3 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (* 3 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (+ (* 1.0 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 3) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (* 1.0 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (* (pow (fma i 2 alpha) 3) (sqr (- (sqr (fma i 2 alpha)) 1.0))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) into (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)) into (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]taylor:  Taking taylor expansion of (+ (* 1.0 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 3) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (* 1.0 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (* (pow (fma i 2 alpha) 3) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 1.0 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 3) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) in alpha
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 3) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (sqr i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (* (pow (fma i 2 alpha) 3) (sqr (- (sqr (fma i 2 alpha)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (pow (fma i 2 alpha) 3) in alpha
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (fma i 2 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 3 (log (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of 3 in alpha
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (log (fma i 2 alpha)) into (log (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* 3 (log (fma i 2 alpha))) into (* 3 (log (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (fma i 2 alpha)))) into (pow (fma i 2 alpha) 3)
* [misc]taylor:  Taking taylor expansion of (sqr (- (sqr (fma i 2 alpha)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) into (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (- (sqr (fma i 2 alpha)) 1.0) (- (sqr (fma i 2 alpha)) 1.0)) into (sqr (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (* (pow (fma i 2 alpha) 3) (sqr (- (sqr (fma i 2 alpha)) 1.0))) into (* (pow (fma i 2 alpha) 3) (sqr (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 3) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 3) (sqr (- (sqr (fma i 2 alpha)) 1.0))))
* [misc]taylor:  Taking taylor expansion of (* 1.0 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (* (pow (fma i 2 alpha) 3) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) in alpha
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (* (pow (fma i 2 alpha) 3) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (* alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (* (pow (fma i 2 alpha) 3) (sqr (- (sqr (fma i 2 alpha)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (pow (fma i 2 alpha) 3) in alpha
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (fma i 2 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 3 (log (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of 3 in alpha
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (log (fma i 2 alpha)) into (log (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* 3 (log (fma i 2 alpha))) into (* 3 (log (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (fma i 2 alpha)))) into (pow (fma i 2 alpha) 3)
* [misc]taylor:  Taking taylor expansion of (sqr (- (sqr (fma i 2 alpha)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* 0 i) into 0
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 i)) into i
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* 0 0)) into (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (- (sqr (fma i 2 alpha)) 1.0) (- (sqr (fma i 2 alpha)) 1.0)) into (sqr (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (* (pow (fma i 2 alpha) 3) (sqr (- (sqr (fma i 2 alpha)) 1.0))) into (* (pow (fma i 2 alpha) 3) (sqr (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (pow (fma i 2 alpha) 3) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (pow (fma i 2 alpha) 3) (sqr (- (sqr (fma i 2 alpha)) 1.0))))
* [misc]taylor:  Taking taylor expansion of (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0))) (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0))) (+ (* 3 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (* 3 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (* alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (pow (fma i 2 alpha) 3) in alpha
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (fma i 2 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 3 (log (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of 3 in alpha
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (log (fma i 2 alpha)) into (log (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* 3 (log (fma i 2 alpha))) into (* 3 (log (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (fma i 2 alpha)))) into (pow (fma i 2 alpha) 3)
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* 0 i) into 0
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 i)) into i
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* 0 0)) into (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)) into (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0))) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]taylor:  Taking taylor expansion of (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0))) (+ (* 3 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (* 3 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (sqr i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (pow (fma i 2 alpha) 3) in alpha
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (fma i 2 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 3 (log (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of 3 in alpha
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (log (fma i 2 alpha)) into (log (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* 3 (log (fma i 2 alpha))) into (* 3 (log (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (fma i 2 alpha)))) into (pow (fma i 2 alpha) 3)
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) into (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)) into (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0))) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]taylor:  Taking taylor expansion of (+ (* 3 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (* 3 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 3 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) in alpha
* [misc]taylor:  Taking taylor expansion of 3 in alpha
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (sqr i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (sqr (- (sqr (fma i 2 alpha)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) into (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (- (sqr (fma i 2 alpha)) 1.0) (- (sqr (fma i 2 alpha)) 1.0)) into (sqr (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))) into (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))
* [misc]taylor:  Taking taylor expansion of (* 3 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) in alpha
* [misc]taylor:  Taking taylor expansion of 3 in alpha
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (* alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (sqr (- (sqr (fma i 2 alpha)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* 0 i) into 0
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 i)) into i
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* 0 0)) into (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (- (sqr (fma i 2 alpha)) 1.0) (- (sqr (fma i 2 alpha)) 1.0)) into (sqr (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))) into (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))
* [misc]backup-simplify:  Simplify (* 1.0 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 3) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) into (* 1.0 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 3) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))
* [misc]backup-simplify:  Simplify (+ (* 1.0 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 3) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) 0) into (* 1.0 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 3) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))
* [misc]backup-simplify:  Simplify (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (* 1.0 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 3) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) into (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (* 1.0 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 3) (sqr (- (sqr (fma i 2 alpha)) 1.0))))))
* [misc]backup-simplify:  Simplify (* 3 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) into (* 3 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))
* [misc]backup-simplify:  Simplify (+ (* 3 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) 0) into (* 3 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))
* [misc]backup-simplify:  Simplify (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0))) (* 3 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) into (+ (* 3 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0))))
* [misc]backup-simplify:  Simplify (+ 0 (+ (* 3 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0))))) into (+ (* 3 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0))))
* [misc]backup-simplify:  Simplify (- (+ (* 3 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0))))) into (- (+ (* 3 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)))))
* [misc]backup-simplify:  Simplify (+ (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (* 1.0 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 3) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) (- (+ (* 3 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)))))) into (- (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (* 1.0 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 3) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0))) (* 3 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))))
* [misc]taylor:  Taking taylor expansion of (- (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (* 1.0 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 3) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0))) (* 3 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))))) in i
* [misc]taylor:  Taking taylor expansion of (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (* 1.0 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 3) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) in i
* [misc]taylor:  Taking taylor expansion of (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) in i
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in i
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 1) (* 0 0)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)) into (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]taylor:  Taking taylor expansion of (* 1.0 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 3) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) in i
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 3) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) in i
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in i
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (sqr i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (pow (fma i 2 alpha) 3) (sqr (- (sqr (fma i 2 alpha)) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of (pow (fma i 2 alpha) 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (fma i 2 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log (fma i 2 alpha))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (log (fma i 2 alpha)) into (log (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* 3 (log (fma i 2 alpha))) into (* 3 (log (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (fma i 2 alpha)))) into (pow (fma i 2 alpha) 3)
* [misc]taylor:  Taking taylor expansion of (sqr (- (sqr (fma i 2 alpha)) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 1) (+ (* 0 0) (* 0 0))) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (- (sqr (fma i 2 alpha)) 1.0) (- (sqr (fma i 2 alpha)) 1.0)) into (sqr (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (* (pow (fma i 2 alpha) 3) (sqr (- (sqr (fma i 2 alpha)) 1.0))) into (* (pow (fma i 2 alpha) 3) (sqr (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (pow (fma i 2 alpha) 3) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (pow (fma i 2 alpha) 3) (sqr (- (sqr (fma i 2 alpha)) 1.0))))
* [misc]taylor:  Taking taylor expansion of (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0))) (* 3 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) in i
* [misc]taylor:  Taking taylor expansion of (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) in i
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in i
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (sqr i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (pow (fma i 2 alpha) 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (fma i 2 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log (fma i 2 alpha))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (log (fma i 2 alpha)) into (log (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* 3 (log (fma i 2 alpha))) into (* 3 (log (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (fma i 2 alpha)))) into (pow (fma i 2 alpha) 3)
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 1) (+ (* 0 0) (* 0 0))) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)) into (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0))) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]taylor:  Taking taylor expansion of (* 3 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) in i
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in i
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (sqr i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (sqr (- (sqr (fma i 2 alpha)) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 1) (+ (* 0 0) (* 0 0))) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (- (sqr (fma i 2 alpha)) 1.0) (- (sqr (fma i 2 alpha)) 1.0)) into (sqr (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))) into (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))
* [misc]backup-simplify:  Simplify (+ (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) 0) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (+ (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) 0) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) (* 0 i)) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ (* i 0) (* 1 (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i))) into (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 0) (* 0 (fma i 2 alpha))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 0) (* 0 (fma i 2 alpha))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (fma i 2 alpha)) 0) (* 0 (- (sqr (fma i 2 alpha)) 1.0))) into 0
* [misc]backup-simplify:  Simplify (- (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (+ (* (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (/ 0 (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))))) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]taylor:  Taking taylor expansion of (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) in i
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in i
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 1) (* 0 0)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)) into (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (+ (* (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (sqr (* i (* 1 1)))) (+ (* (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (* i (* alpha 1))) (* (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (* i (* 1 beta))))) into (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* beta i)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))))
* [misc]approximate:  Taking taylor expansion of (/ (* (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ 1 i)) (* (- (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) in (beta alpha i) around 0
* [misc]taylor:  Taking taylor expansion of (/ (* (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ 1 i)) (* (- (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (* (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ 1 i)) in i
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) in i
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) in i
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (/ 1 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) into (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) into (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (* (- (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (- (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (* (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (* (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) into (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) into (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (- 1.0)) into (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0)
* [misc]backup-simplify:  Simplify (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) into (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) into (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0))
* [misc]backup-simplify:  Simplify (/ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0))) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0)))
* [misc]taylor:  Taking taylor expansion of (/ (* (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ 1 i)) (* (- (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ 1 i)) in alpha
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (/ 1 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) into (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) into (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (* (- (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (- (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (* (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (* (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (/ 1 i)) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))
* [misc]backup-simplify:  Simplify (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) into (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) into (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (- 1.0)) into (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0)
* [misc]backup-simplify:  Simplify (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) into (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) into (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0))
* [misc]backup-simplify:  Simplify (/ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i)) (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0))) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (* i (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0))))
* [misc]taylor:  Taking taylor expansion of (/ (* (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ 1 i)) (* (- (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (* (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ 1 i)) in beta
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (/ 1 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (* (- (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (- (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0) in beta
* [misc]taylor:  Taking taylor expansion of (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (* 1 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (/ 1 i)) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (/ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) 1) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)
* [misc]taylor:  Taking taylor expansion of (/ (* (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ 1 i)) (* (- (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (* (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ 1 i)) in beta
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (/ 1 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (* (- (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (- (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0) in beta
* [misc]taylor:  Taking taylor expansion of (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (* 1 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (/ 1 i)) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (/ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) 1) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 alpha)) into (/ 1 alpha)
* [misc]backup-simplify:  Simplify (+ (/ 1 alpha) (/ 1 i)) into (+ (/ 1 i) (/ 1 alpha))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (fma (/ 1 i) 2 (/ 1 alpha))) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (- (/ (+ (/ 1 i) (/ 1 alpha)) 1) (+ (* 1 (/ (fma (/ 1 i) 2 (/ 1 alpha)) 1)))) into (- (+ (/ 1 i) (/ 1 alpha)) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* (- (+ (/ 1 i) (/ 1 alpha)) (fma (/ 1 i) 2 (/ 1 alpha))) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))) into (- (+ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) alpha)) (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (+ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 0) (* (- (+ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) alpha)) (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))) (/ 1 i))) into (- (+ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i))) (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (fma (/ 1 i) 2 (/ 1 alpha))) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (fma (/ 1 i) 2 (/ 1 alpha))) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (* 1 (fma (/ 1 i) 2 (/ 1 alpha))) (* (fma (/ 1 i) 2 (/ 1 alpha)) 1)) into (* 2 (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (+ (* 2 (fma (/ 1 i) 2 (/ 1 alpha))) 0) into (* 2 (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (+ (* 1 (fma (/ 1 i) 2 (/ 1 alpha))) (* (* 2 (fma (/ 1 i) 2 (/ 1 alpha))) 1)) into (* 3 (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (- (/ (- (+ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i))) (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)) 1) (+ (* (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) (/ (* 3 (fma (/ 1 i) 2 (/ 1 alpha))) 1)))) into (- (+ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i))) (* 4 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))
* [misc]taylor:  Taking taylor expansion of (- (+ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i))) (* 4 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (sqr i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i))
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (* alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* 0 i) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 i)) into i
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)
* [misc]taylor:  Taking taylor expansion of (* 4 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)) in alpha
* [misc]taylor:  Taking taylor expansion of 4 in alpha
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) into (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i) into (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)
* [misc]backup-simplify:  Simplify (+ 0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)
* [misc]backup-simplify:  Simplify (+ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) 0) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 1) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 1) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 i) (/ 0 i)) (* 0 (/ 0 i)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (- (+ (/ 1 i) (/ 1 alpha)) (fma (/ 1 i) 2 (/ 1 alpha))) (/ (fma (/ 1 i) 2 (/ 1 alpha)) 1)))) into (- (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (+ (/ (fma (/ 1 i) 2 (/ 1 alpha)) i) (/ (fma (/ 1 i) 2 (/ 1 alpha)) alpha)))
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* (- (+ (/ 1 i) (/ 1 alpha)) (fma (/ 1 i) 2 (/ 1 alpha))) 0) (* (- (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (+ (/ (fma (/ 1 i) 2 (/ 1 alpha)) i) (/ (fma (/ 1 i) 2 (/ 1 alpha)) alpha))) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))))) into (- (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (+ (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) alpha) (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))
* [misc]backup-simplify:  Simplify (+ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 0) (+ (* (- (+ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) alpha)) (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))) 0) (* (- (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (+ (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) alpha) (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i))) (/ 1 i)))) into (- (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i) (+ (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i)) (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (* alpha i))))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 i) 2 (/ 1 alpha))) (* 0 1))) into (sqr (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (- 1.0)) into (- (sqr (fma (/ 1 i) 2 (/ 1 alpha))) 1.0)
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* (* 2 (fma (/ 1 i) 2 (/ 1 alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (* (- (sqr (fma (/ 1 i) 2 (/ 1 alpha))) 1.0) 1))) into (- (* 3 (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0)
* [misc]backup-simplify:  Simplify (- (/ (- (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i) (+ (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i)) (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (* alpha i)))) 1) (+ (* (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) (/ (- (* 3 (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0) 1)) (* (- (+ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i))) (* 4 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i))) (/ (* 3 (fma (/ 1 i) 2 (/ 1 alpha))) 1)))) into (- (+ (* 1.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (* 10 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i))) (+ (* 4 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (* 4 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (* alpha i)))))
* [misc]taylor:  Taking taylor expansion of (- (+ (* 1.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (* 10 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i))) (+ (* 4 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (* 4 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (* alpha i))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* 1.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (* 10 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 1.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) in alpha
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)
* [misc]taylor:  Taking taylor expansion of (* 10 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)) in alpha
* [misc]taylor:  Taking taylor expansion of 10 in alpha
* [misc]backup-simplify:  Simplify 10 into 10
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ 1 i) 2 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 i) 2 (/ 1 alpha))) into (sqr (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) into (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i) into (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (* 4 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (* alpha i)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 4 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) in alpha
* [misc]taylor:  Taking taylor expansion of 4 in alpha
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i)) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (sqr i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) into (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i)) into (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))
* [misc]taylor:  Taking taylor expansion of (* 4 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (* alpha i))) in alpha
* [misc]taylor:  Taking taylor expansion of 4 in alpha
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (* alpha i)) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (* alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) into (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* 0 i) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 i)) into i
* [misc]backup-simplify:  Simplify (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i) into (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)
* [misc]backup-simplify:  Simplify (* 4 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)) into (* 4 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i))
* [misc]backup-simplify:  Simplify (+ 0 (* 4 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i))) into (* 4 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i))
* [misc]backup-simplify:  Simplify (- (* 4 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i))) into (- (* 4 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))
* [misc]backup-simplify:  Simplify (+ 0 (- (* 4 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))) into (- (* 4 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))
* [misc]taylor:  Taking taylor expansion of (- (* 4 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i) in i
* [misc]taylor:  Taking taylor expansion of (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) into (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) 1) into (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (* 0 i))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 i) (+ (* (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) (/ 0 i)))) into 0
* [misc]backup-simplify:  Simplify (+ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) 0) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i))
* [misc]backup-simplify:  Simplify (* 4 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)) into (* 4 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i))
* [misc]backup-simplify:  Simplify (- (* 4 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i))) into (- (* 4 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))
* [misc]backup-simplify:  Simplify (+ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) (- (* 4 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))) into (- (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) (* 4 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))
* [misc]taylor:  Taking taylor expansion of (- (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) (* 4 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i))) in i
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (sqr i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 1) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (* 4 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i) in i
* [misc]taylor:  Taking taylor expansion of (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) into (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) 1) into (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (+ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 0) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (- (/ 0 i) (+ (* (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) (/ 0 i)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (+ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (/ 1 (/ 1 i)) (* 1 (pow (/ 1 beta) 3)))) (+ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (/ 1 (/ 1 i)) (* (/ 1 (/ 1 alpha)) (pow (/ 1 beta) 4)))) (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (* (/ 1 (/ 1 i)) (* 1 (sqr (/ 1 beta)))))))) into (+ (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) (pow beta 3)) (+ (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i)) (pow beta 4)) (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) (pow beta 4))))
* [misc]approximate:  Taking taylor expansion of (/ (* (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ 1 (- i))) (* (- (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) 1.0) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) in (beta alpha i) around 0
* [misc]taylor:  Taking taylor expansion of (/ (* (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ 1 (- i))) (* (- (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) 1.0) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) in i
* [misc]taylor:  Taking taylor expansion of (* (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ 1 (- i))) in i
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) in i
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) in i
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (/ 1 (- alpha))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in i
* [misc]taylor:  Taking taylor expansion of (- beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in i
* [misc]taylor:  Taking taylor expansion of (- alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in i
* [misc]taylor:  Taking taylor expansion of (- i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in i
* [misc]taylor:  Taking taylor expansion of (- beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (+ (/ -1 beta) (fma (/ -1 i) 2 (/ -1 alpha))) into (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))
* [misc]backup-simplify:  Simplify (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) into (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in i
* [misc]taylor:  Taking taylor expansion of (- i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (* (- (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) 1.0) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (- (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in i
* [misc]taylor:  Taking taylor expansion of (- beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in i
* [misc]taylor:  Taking taylor expansion of (- beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (* (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) into (* -1 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))
* [misc]backup-simplify:  Simplify (* (* -1 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))) -1) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))
* [misc]backup-simplify:  Simplify (+ (/ -1 beta) (fma (/ -1 i) 2 (/ -1 alpha))) into (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))
* [misc]backup-simplify:  Simplify (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) into (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (- 1.0)) into (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0))
* [misc]backup-simplify:  Simplify (+ (/ -1 beta) (fma (/ -1 i) 2 (/ -1 alpha))) into (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))
* [misc]backup-simplify:  Simplify (* (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0)) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) into (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0)))
* [misc]backup-simplify:  Simplify (/ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0)))) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0))))
* [misc]taylor:  Taking taylor expansion of (/ (* (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ 1 (- i))) (* (- (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) 1.0) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ 1 (- i))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (/ 1 (- alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (- alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in alpha
* [misc]taylor:  Taking taylor expansion of (- i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (+ (/ -1 beta) (fma (/ -1 i) 2 (/ -1 alpha))) into (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))
* [misc]backup-simplify:  Simplify (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) into (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in alpha
* [misc]taylor:  Taking taylor expansion of (- i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of (* (- (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) 1.0) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (- (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (* (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) into (* -1 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))
* [misc]backup-simplify:  Simplify (* (* -1 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))) (/ -1 i)) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))
* [misc]backup-simplify:  Simplify (+ (/ -1 beta) (fma (/ -1 i) 2 (/ -1 alpha))) into (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))
* [misc]backup-simplify:  Simplify (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) into (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (- 1.0)) into (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0))
* [misc]backup-simplify:  Simplify (+ (/ -1 beta) (fma (/ -1 i) 2 (/ -1 alpha))) into (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))
* [misc]backup-simplify:  Simplify (* (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0)) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) into (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0)))
* [misc]backup-simplify:  Simplify (/ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i)) (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0)))) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* i (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0)))))
* [misc]taylor:  Taking taylor expansion of (/ (* (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ 1 (- i))) (* (- (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) 1.0) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) in beta
* [misc]taylor:  Taking taylor expansion of (* (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ 1 (- i))) in beta
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (/ 1 (- alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in beta
* [misc]taylor:  Taking taylor expansion of (- i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (/ -1 -1) into 1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in beta
* [misc]taylor:  Taking taylor expansion of (- i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of (* (- (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) 1.0) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (- (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) 1.0) in beta
* [misc]taylor:  Taking taylor expansion of (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (* 1 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (/ -1 i)) into (* -1 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i))
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (* 1 -1) into -1
* [misc]backup-simplify:  Simplify (/ (* -1 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) -1) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)
* [misc]taylor:  Taking taylor expansion of (/ (* (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ 1 (- i))) (* (- (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) 1.0) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) in beta
* [misc]taylor:  Taking taylor expansion of (* (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ 1 (- i))) in beta
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (/ 1 (- alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in beta
* [misc]taylor:  Taking taylor expansion of (- i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (/ -1 -1) into 1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in beta
* [misc]taylor:  Taking taylor expansion of (- i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of (* (- (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) 1.0) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (- (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) 1.0) in beta
* [misc]taylor:  Taking taylor expansion of (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (* 1 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (/ -1 i)) into (* -1 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i))
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (* 1 -1) into -1
* [misc]backup-simplify:  Simplify (/ (* -1 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) -1) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 i) (/ 0 (- i))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (/ -1 alpha)) into (- (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (- (/ 1 alpha)) (/ -1 i)) into (- (+ (/ 1 i) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (fma (/ -1 i) 2 (/ -1 alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (- (/ (- (+ (/ 1 i) (/ 1 alpha))) -1) (+ (* 1 (/ (fma (/ -1 i) 2 (/ -1 alpha)) -1)))) into (+ (fma (/ -1 i) 2 (/ -1 alpha)) (+ (/ 1 alpha) (/ 1 i)))
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* (+ (fma (/ -1 i) 2 (/ -1 alpha)) (+ (/ 1 alpha) (/ 1 i))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) into (+ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (+ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) alpha)))
* [misc]backup-simplify:  Simplify (+ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 0) (* (+ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (+ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) alpha))) (/ -1 i))) into (- (+ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr i)) (+ (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* alpha i)))))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (fma (/ -1 i) 2 (/ -1 alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (fma (/ -1 i) 2 (/ -1 alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (+ (* -1 (fma (/ -1 i) 2 (/ -1 alpha))) (* (fma (/ -1 i) 2 (/ -1 alpha)) -1)) into (- (* 2 (fma (/ -1 i) 2 (/ -1 alpha))))
* [misc]backup-simplify:  Simplify (+ (- (* 2 (fma (/ -1 i) 2 (/ -1 alpha)))) 0) into (- (* 2 (fma (/ -1 i) 2 (/ -1 alpha))))
* [misc]backup-simplify:  Simplify (+ (* 1 (fma (/ -1 i) 2 (/ -1 alpha))) (* (- (* 2 (fma (/ -1 i) 2 (/ -1 alpha)))) -1)) into (* 3 (fma (/ -1 i) 2 (/ -1 alpha)))
* [misc]backup-simplify:  Simplify (- (/ (- (+ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr i)) (+ (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* alpha i))))) -1) (+ (* (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i) (/ (* 3 (fma (/ -1 i) 2 (/ -1 alpha))) -1)))) into (+ (* 3 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (+ (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i) (+ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i)) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* alpha i)))))
* [misc]taylor:  Taking taylor expansion of (+ (* 3 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (+ (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i) (+ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i)) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* alpha i))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 3 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) in alpha
* [misc]taylor:  Taking taylor expansion of 3 in alpha
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i) into (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)
* [misc]taylor:  Taking taylor expansion of (+ (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i) (+ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i)) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* alpha i)))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i) into (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)
* [misc]taylor:  Taking taylor expansion of (+ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i)) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* alpha i))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (sqr i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr i)) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i))
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* alpha i)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (* alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* 0 i) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 i)) into i
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)
* [misc]backup-simplify:  Simplify (+ 0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)
* [misc]backup-simplify:  Simplify (+ 0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)
* [misc]backup-simplify:  Simplify (+ 0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 1) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 1) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 i) (/ 0 (- i))) (* 0 (/ 0 (- i))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 alpha) (/ 0 (- alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 i) (/ 0 (- i))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 -1) (+ (* 1 (/ 0 -1)) (* (+ (fma (/ -1 i) 2 (/ -1 alpha)) (+ (/ 1 alpha) (/ 1 i))) (/ (fma (/ -1 i) 2 (/ -1 alpha)) -1)))) into (+ (/ (fma (/ -1 i) 2 (/ -1 alpha)) i) (+ (/ (fma (/ -1 i) 2 (/ -1 alpha)) alpha) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))))
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* (+ (fma (/ -1 i) 2 (/ -1 alpha)) (+ (/ 1 alpha) (/ 1 i))) 0) (* (+ (/ (fma (/ -1 i) 2 (/ -1 alpha)) i) (+ (/ (fma (/ -1 i) 2 (/ -1 alpha)) alpha) (sqr (fma (/ -1 i) 2 (/ -1 alpha))))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) into (+ (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i) (+ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) alpha)))
* [misc]backup-simplify:  Simplify (+ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 0) (+ (* (+ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (+ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) alpha))) 0) (* (+ (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i) (+ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) alpha))) (/ -1 i)))) into (- (+ (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i) (+ (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* alpha i)) (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i)))))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) 2 (/ -1 alpha))) (* 0 -1))) into (sqr (fma (/ -1 i) 2 (/ -1 alpha)))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (- 1.0)) into (- (sqr (fma (/ -1 i) 2 (/ -1 alpha))) 1.0)
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* (- (* 2 (fma (/ -1 i) 2 (/ -1 alpha)))) (fma (/ -1 i) 2 (/ -1 alpha))) (* (- (sqr (fma (/ -1 i) 2 (/ -1 alpha))) 1.0) -1))) into (- 1.0 (* 3 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))))
* [misc]backup-simplify:  Simplify (- (/ (- (+ (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i) (+ (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* alpha i)) (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))))) -1) (+ (* (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i) (/ (- 1.0 (* 3 (sqr (fma (/ -1 i) 2 (/ -1 alpha))))) -1)) (* (+ (* 3 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (+ (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i) (+ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i)) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* alpha i))))) (/ (* 3 (fma (/ -1 i) 2 (/ -1 alpha))) -1)))) into (+ (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i)) (+ (* 1.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) (+ (* 3 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (+ (* 3 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* alpha i))) (+ (* 10 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* alpha i)))))))
* [misc]taylor:  Taking taylor expansion of (+ (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i)) (+ (* 1.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) (+ (* 3 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (+ (* 3 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* alpha i))) (+ (* 10 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* alpha i))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i)) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (sqr i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i)) into (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))
* [misc]taylor:  Taking taylor expansion of (+ (* 1.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) (+ (* 3 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (+ (* 3 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* alpha i))) (+ (* 10 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* alpha i)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 1.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) in alpha
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)
* [misc]taylor:  Taking taylor expansion of (+ (* 3 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (+ (* 3 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* alpha i))) (+ (* 10 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* alpha i))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 3 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) in alpha
* [misc]taylor:  Taking taylor expansion of 3 in alpha
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i)) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (sqr i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i)) into (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))
* [misc]taylor:  Taking taylor expansion of (+ (* 3 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* alpha i))) (+ (* 10 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* alpha i)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 3 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* alpha i))) in alpha
* [misc]taylor:  Taking taylor expansion of 3 in alpha
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* alpha i)) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (* alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (* 0 i) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 i)) into i
* [misc]backup-simplify:  Simplify (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i) into (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)
* [misc]taylor:  Taking taylor expansion of (+ (* 10 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* alpha i))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 10 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) in alpha
* [misc]taylor:  Taking taylor expansion of 10 in alpha
* [misc]backup-simplify:  Simplify 10 into 10
* [misc]taylor:  Taking taylor expansion of (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i) in alpha
* [misc]taylor:  Taking taylor expansion of (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ -1 i) 2 (/ -1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) 2 (/ -1 alpha))) into (sqr (fma (/ -1 i) 2 (/ -1 alpha)))
* [misc]backup-simplify:  Simplify (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) into (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i) into (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* alpha i)) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (* alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (* 0 i) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 i)) into i
* [misc]backup-simplify:  Simplify (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i) into (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)
* [misc]backup-simplify:  Simplify (* 3 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) into (* 3 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i))
* [misc]backup-simplify:  Simplify (+ 0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) into (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)
* [misc]backup-simplify:  Simplify (+ (* 3 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) into (+ (* 3 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i))
* [misc]backup-simplify:  Simplify (+ 0 (+ (* 3 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i))) into (+ (* 3 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i))
* [misc]backup-simplify:  Simplify (+ 0 (+ (* 3 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i))) into (+ (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i) (* 3 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)))
* [misc]backup-simplify:  Simplify (+ 0 (+ (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i) (* 3 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)))) into (+ (* 3 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i))
* [misc]taylor:  Taking taylor expansion of (+ (* 3 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i) in i
* [misc]taylor:  Taking taylor expansion of (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) 1) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i) in i
* [misc]taylor:  Taking taylor expansion of (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) 1) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (* 3 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) into (* 3 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i))
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (* 0 i))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 i) (+ (* (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i) (/ 0 i)))) into 0
* [misc]backup-simplify:  Simplify (+ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i)) 0) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr i))
* [misc]backup-simplify:  Simplify (+ (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr i))) into (+ (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i)))
* [misc]backup-simplify:  Simplify (+ (* 3 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (+ (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i)))) into (+ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr i)) (+ (* 3 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)))
* [misc]taylor:  Taking taylor expansion of (+ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr i)) (+ (* 3 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i))) in i
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr i)) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (sqr i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 1) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (+ (* 3 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i) in i
* [misc]taylor:  Taking taylor expansion of (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) 1) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i) in i
* [misc]taylor:  Taking taylor expansion of (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) 1) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (+ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 0) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (- (/ 0 i) (+ (* (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i) (/ 0 i)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (+ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* (/ 1 (/ 1 (- i))) (* 1 (pow (/ 1 (- beta)) 3)))) (+ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* (/ 1 (/ 1 (- i))) (* (/ 1 (/ 1 (- alpha))) (pow (/ 1 (- beta)) 4)))) (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr (* (/ 1 (/ 1 (- i))) (* 1 (sqr (/ 1 (- beta))))))))) into (+ (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i)) (pow beta 4)) (+ (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i) (pow beta 3)) (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* alpha i)) (pow beta 4))))
* [misc]approximate:  Taking taylor expansion of (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) i) in (beta alpha i) around 0
* [misc]taylor:  Taking taylor expansion of (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) i) in i
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) in i
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (+ (+ beta alpha) i) in i
* [misc]taylor:  Taking taylor expansion of (+ beta alpha) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ beta alpha) into (+ beta alpha)
* [misc]backup-simplify:  Simplify (+ (+ beta alpha) 0) into (+ beta alpha)
* [misc]backup-simplify:  Simplify (+ beta (fma i 2 alpha)) into (+ beta (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (/ (+ beta alpha) (+ beta (fma i 2 alpha))) into (/ (+ beta alpha) (+ beta (fma i 2 alpha)))
* [misc]taylor:  Taking taylor expansion of (fma i (+ (+ beta alpha) i) (* alpha beta)) in i
* [misc]backup-simplify:  Simplify (fma i (+ (+ beta alpha) i) (* alpha beta)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) i) in alpha
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ beta alpha) i) in alpha
* [misc]taylor:  Taking taylor expansion of (+ beta alpha) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (+ beta i) into (+ beta i)
* [misc]backup-simplify:  Simplify (+ beta (fma i 2 alpha)) into (+ beta (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (/ (+ beta i) (+ beta (fma i 2 alpha))) into (/ (+ beta i) (+ beta (fma i 2 alpha)))
* [misc]taylor:  Taking taylor expansion of (fma i (+ (+ beta alpha) i) (* alpha beta)) in alpha
* [misc]backup-simplify:  Simplify (fma i (+ (+ beta alpha) i) (* alpha beta)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) i) in beta
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ beta alpha) i) in beta
* [misc]taylor:  Taking taylor expansion of (+ beta alpha) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in beta
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ 0 alpha) into alpha
* [misc]backup-simplify:  Simplify (+ alpha i) into (+ alpha i)
* [misc]backup-simplify:  Simplify (+ 0 (fma i 2 alpha)) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (/ (+ alpha i) (fma i 2 alpha)) into (/ (+ alpha i) (fma i 2 alpha))
* [misc]taylor:  Taking taylor expansion of (fma i (+ (+ beta alpha) i) (* alpha beta)) in beta
* [misc]backup-simplify:  Simplify (fma i (+ (+ beta alpha) i) (* alpha beta)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) i) in beta
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ beta alpha) i) in beta
* [misc]taylor:  Taking taylor expansion of (+ beta alpha) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in beta
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ 0 alpha) into alpha
* [misc]backup-simplify:  Simplify (+ alpha i) into (+ alpha i)
* [misc]backup-simplify:  Simplify (+ 0 (fma i 2 alpha)) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (/ (+ alpha i) (fma i 2 alpha)) into (/ (+ alpha i) (fma i 2 alpha))
* [misc]taylor:  Taking taylor expansion of (fma i (+ (+ beta alpha) i) (* alpha beta)) in beta
* [misc]backup-simplify:  Simplify (fma i (+ (+ beta alpha) i) (* alpha beta)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* (/ (+ alpha i) (fma i 2 alpha)) (fma i (+ beta (+ alpha i)) (* beta alpha))) into (/ (* (+ alpha i) (fma i (+ beta (+ alpha i)) (* beta alpha))) (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* (/ (* (+ alpha i) (fma i (+ beta (+ alpha i)) (* beta alpha))) (fma i 2 alpha)) i) into (/ (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (fma i 2 alpha))
* [misc]taylor:  Taking taylor expansion of (/ (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ 0 i) into i
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) into (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)
* [misc]backup-simplify:  Simplify (* i (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) into (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i))
* [misc]backup-simplify:  Simplify (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (fma i 2 alpha)) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (fma i 2 alpha))
* [misc]taylor:  Taking taylor expansion of (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) in i
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in i
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (sqr i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 1) (+ (* 0 0) (* 0 0))) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]backup-simplify:  Simplify (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha)) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (- (/ 1 (fma i 2 alpha)) (+ (* (/ (+ alpha i) (fma i 2 alpha)) (/ 1 (fma i 2 alpha))))) into (- (/ 1 (fma i 2 alpha)) (+ (/ i (sqr (fma i 2 alpha))) (/ alpha (sqr (fma i 2 alpha)))))
* [misc]backup-simplify:  Simplify (+ (* (/ (+ alpha i) (fma i 2 alpha)) 0) (* (- (/ 1 (fma i 2 alpha)) (+ (/ i (sqr (fma i 2 alpha))) (/ alpha (sqr (fma i 2 alpha))))) (fma i (+ beta (+ alpha i)) (* beta alpha)))) into (- (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha)) (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) alpha) (sqr (fma i 2 alpha))) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha)))))
* [misc]backup-simplify:  Simplify (+ (* (/ (* (+ alpha i) (fma i (+ beta (+ alpha i)) (* beta alpha))) (fma i 2 alpha)) 0) (* (- (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha)) (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) alpha) (sqr (fma i 2 alpha))) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha))))) i)) into (- (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (fma i 2 alpha)) (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (sqr (fma i 2 alpha))) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (sqr (fma i 2 alpha)))))
* [misc]taylor:  Taking taylor expansion of (- (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (fma i 2 alpha)) (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (sqr (fma i 2 alpha))) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (sqr (fma i 2 alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) into (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)
* [misc]backup-simplify:  Simplify (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (fma i 2 alpha)) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (fma i 2 alpha))
* [misc]taylor:  Taking taylor expansion of (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (sqr (fma i 2 alpha))) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (sqr (fma i 2 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (sqr (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (sqr i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) into (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (sqr (fma i 2 alpha))) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (sqr (fma i 2 alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (sqr (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (* alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (* 0 i) into 0
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 i)) into i
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* 0 0)) into (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha))) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (sqr (fma i 2 alpha))) 0) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (sqr (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (- (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (sqr (fma i 2 alpha)))) into (- (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (sqr (fma i 2 alpha))))
* [misc]backup-simplify:  Simplify (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (fma i 2 alpha)) (- (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (sqr (fma i 2 alpha))))) into (- (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (fma i 2 alpha)) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (sqr (fma i 2 alpha))))
* [misc]taylor:  Taking taylor expansion of (- (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (fma i 2 alpha)) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (sqr (fma i 2 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) in i
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in i
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 1) (* 0 0)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]backup-simplify:  Simplify (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha)) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha))
* [misc]taylor:  Taking taylor expansion of (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (sqr (fma i 2 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) in i
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in i
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (sqr i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 1) (+ (* 0 0) (* 0 0))) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr (fma i 2 alpha))) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) (* 0 i)) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ (* i 0) (* 1 (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i))) into (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)
* [misc]backup-simplify:  Simplify (- (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (fma i 2 alpha)) (+ (* (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (fma i 2 alpha)) (/ 0 (fma i 2 alpha))))) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (fma i 2 alpha))
* [misc]taylor:  Taking taylor expansion of (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) in i
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in i
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 1) (* 0 0)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]backup-simplify:  Simplify (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha)) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (fma i 2 alpha)) (+ (* (/ (+ alpha i) (fma i 2 alpha)) (/ 0 (fma i 2 alpha))) (* (- (/ 1 (fma i 2 alpha)) (+ (/ i (sqr (fma i 2 alpha))) (/ alpha (sqr (fma i 2 alpha))))) (/ 1 (fma i 2 alpha))))) into (- (+ (/ i (pow (fma i 2 alpha) 3)) (/ alpha (pow (fma i 2 alpha) 3))) (/ 1 (sqr (fma i 2 alpha))))
* [misc]backup-simplify:  Simplify (+ (* (/ (+ alpha i) (fma i 2 alpha)) 0) (+ (* (- (/ 1 (fma i 2 alpha)) (+ (/ i (sqr (fma i 2 alpha))) (/ alpha (sqr (fma i 2 alpha))))) 0) (* (- (+ (/ i (pow (fma i 2 alpha) 3)) (/ alpha (pow (fma i 2 alpha) 3))) (/ 1 (sqr (fma i 2 alpha)))) (fma i (+ beta (+ alpha i)) (* beta alpha))))) into (- (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (pow (fma i 2 alpha) 3)) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) alpha) (pow (fma i 2 alpha) 3))) (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr (fma i 2 alpha))))
* [misc]backup-simplify:  Simplify (+ (* (/ (* (+ alpha i) (fma i (+ beta (+ alpha i)) (* beta alpha))) (fma i 2 alpha)) 0) (+ (* (- (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha)) (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) alpha) (sqr (fma i 2 alpha))) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha))))) 0) (* (- (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (pow (fma i 2 alpha) 3)) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) alpha) (pow (fma i 2 alpha) 3))) (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr (fma i 2 alpha)))) i))) into (- (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (fma i 2 alpha) 3)) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (pow (fma i 2 alpha) 3))) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha))))
* [misc]taylor:  Taking taylor expansion of (- (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (fma i 2 alpha) 3)) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (pow (fma i 2 alpha) 3))) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (fma i 2 alpha) 3)) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (pow (fma i 2 alpha) 3))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (fma i 2 alpha) 3)) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (sqr i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (pow (fma i 2 alpha) 3) in alpha
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (fma i 2 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 3 (log (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of 3 in alpha
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (log (fma i 2 alpha)) into (log (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* 3 (log (fma i 2 alpha))) into (* 3 (log (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (fma i 2 alpha)))) into (pow (fma i 2 alpha) 3)
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) into (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i))
* [misc]backup-simplify:  Simplify (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (fma i 2 alpha) 3)) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (fma i 2 alpha) 3))
* [misc]taylor:  Taking taylor expansion of (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (pow (fma i 2 alpha) 3)) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (* alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (pow (fma i 2 alpha) 3) in alpha
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (fma i 2 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 3 (log (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of 3 in alpha
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (log (fma i 2 alpha)) into (log (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* 3 (log (fma i 2 alpha))) into (* 3 (log (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (fma i 2 alpha)))) into (pow (fma i 2 alpha) 3)
* [misc]backup-simplify:  Simplify (* 0 i) into 0
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 i)) into i
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* 0 0)) into (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)
* [misc]backup-simplify:  Simplify (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (pow (fma i 2 alpha) 3)) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (pow (fma i 2 alpha) 3))
* [misc]taylor:  Taking taylor expansion of (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) into (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha))) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (fma i 2 alpha) 3)) 0) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (fma i 2 alpha) 3))
* [misc]backup-simplify:  Simplify (- (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha)))) into (- (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha))))
* [misc]backup-simplify:  Simplify (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (fma i 2 alpha) 3)) (- (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha))))) into (- (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (fma i 2 alpha) 3)) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha))))
* [misc]taylor:  Taking taylor expansion of (- (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (fma i 2 alpha) 3)) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (fma i 2 alpha) 3)) in i
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) in i
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in i
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (sqr i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow (fma i 2 alpha) 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (fma i 2 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log (fma i 2 alpha))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (log (fma i 2 alpha)) into (log (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* 3 (log (fma i 2 alpha))) into (* 3 (log (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (fma i 2 alpha)))) into (pow (fma i 2 alpha) 3)
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 1) (+ (* 0 0) (* 0 0))) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]backup-simplify:  Simplify (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (pow (fma i 2 alpha) 3)) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (pow (fma i 2 alpha) 3))
* [misc]taylor:  Taking taylor expansion of (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) in i
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in i
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 1) (* 0 0)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr (fma i 2 alpha))) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) (* 0 i)) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (fma i 2 alpha)) (+ (* (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (fma i 2 alpha)) (/ 0 (fma i 2 alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ (* i 0) (* 0 i)) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) (* 0 (sqr i))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 0) (* 0 (fma i 2 alpha))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqr (fma i 2 alpha))) (+ (* (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (sqr (fma i 2 alpha))) (/ 0 (sqr (fma i 2 alpha)))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha)))) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (- (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha)))) into (- (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha))))
* [misc]backup-simplify:  Simplify (+ 0 (- (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha))))) into (- (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha))))
* [misc]taylor:  Taking taylor expansion of (- (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) in i
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in i
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 1) (* 0 0)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr (fma i 2 alpha))) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) (+ (* 0 0) (* 0 i))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* i 0) (+ (* 1 0) (* 0 (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (fma i 2 alpha)) (+ (* (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (fma i 2 alpha)) (/ 0 (fma i 2 alpha))) (* (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (fma i 2 alpha)) (/ 0 (fma i 2 alpha))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha)) 0) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha)) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha)) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha)) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (+ (* (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha)) (sqr (* i (* 1 1)))) (+ (* (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha)) (* i (* alpha 1))) (* (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha)) (* i (* 1 beta))))) into (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* beta i)) (fma i 2 alpha)) (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (fma i 2 alpha)) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (fma i 2 alpha))))
* [misc]approximate:  Taking taylor expansion of (* (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ 1 i)) in (beta alpha i) around 0
* [misc]taylor:  Taking taylor expansion of (* (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ 1 i)) in i
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) in i
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) in i
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (/ 1 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) into (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) into (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (* (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ 1 i)) in alpha
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (/ 1 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) into (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) into (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (* (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ 1 i)) in beta
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (/ 1 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (* (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ 1 i)) in beta
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (/ 1 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]backup-simplify:  Simplify (* 1 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (/ 1 i)) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 alpha)) into (/ 1 alpha)
* [misc]backup-simplify:  Simplify (+ (/ 1 alpha) (/ 1 i)) into (+ (/ 1 i) (/ 1 alpha))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (fma (/ 1 i) 2 (/ 1 alpha))) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (- (/ (+ (/ 1 i) (/ 1 alpha)) 1) (+ (* 1 (/ (fma (/ 1 i) 2 (/ 1 alpha)) 1)))) into (- (+ (/ 1 i) (/ 1 alpha)) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* (- (+ (/ 1 i) (/ 1 alpha)) (fma (/ 1 i) 2 (/ 1 alpha))) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))) into (- (+ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) alpha)) (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (+ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 0) (* (- (+ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) alpha)) (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))) (/ 1 i))) into (- (+ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i))) (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i))
* [misc]taylor:  Taking taylor expansion of (- (+ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i))) (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (sqr i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i))
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (* alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* 0 i) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 i)) into i
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) into (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i) into (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)
* [misc]backup-simplify:  Simplify (+ 0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)
* [misc]backup-simplify:  Simplify (+ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) 0) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 1) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 1) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 i) (/ 0 i)) (* 0 (/ 0 i)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (- (+ (/ 1 i) (/ 1 alpha)) (fma (/ 1 i) 2 (/ 1 alpha))) (/ (fma (/ 1 i) 2 (/ 1 alpha)) 1)))) into (- (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (+ (/ (fma (/ 1 i) 2 (/ 1 alpha)) i) (/ (fma (/ 1 i) 2 (/ 1 alpha)) alpha)))
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* (- (+ (/ 1 i) (/ 1 alpha)) (fma (/ 1 i) 2 (/ 1 alpha))) 0) (* (- (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (+ (/ (fma (/ 1 i) 2 (/ 1 alpha)) i) (/ (fma (/ 1 i) 2 (/ 1 alpha)) alpha))) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))))) into (- (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (+ (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) alpha) (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))
* [misc]backup-simplify:  Simplify (+ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 0) (+ (* (- (+ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) alpha)) (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))) 0) (* (- (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (+ (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) alpha) (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i))) (/ 1 i)))) into (- (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i) (+ (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i)) (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (* alpha i))))
* [misc]taylor:  Taking taylor expansion of (- (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i) (+ (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i)) (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (* alpha i)))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ 1 i) 2 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 i) 2 (/ 1 alpha))) into (sqr (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) into (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i) into (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)
* [misc]taylor:  Taking taylor expansion of (+ (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i)) (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (* alpha i))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i)) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (sqr i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) into (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i)) into (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (* alpha i)) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (* alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) into (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* 0 i) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 i)) into i
* [misc]backup-simplify:  Simplify (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i) into (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)
* [misc]backup-simplify:  Simplify (+ 0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)) into (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)
* [misc]backup-simplify:  Simplify (- (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)) into (- (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i))
* [misc]backup-simplify:  Simplify (+ 0 (- (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i))) into (- (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i))
* [misc]taylor:  Taking taylor expansion of (- (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)) in i
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i) in i
* [misc]taylor:  Taking taylor expansion of (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) into (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) 1) into (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (* 0 i))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 i) (+ (* (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) (/ 0 i)))) into 0
* [misc]backup-simplify:  Simplify (+ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) 0) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i))
* [misc]backup-simplify:  Simplify (- (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)) into (- (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i))
* [misc]backup-simplify:  Simplify (+ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) (- (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i))) into (- (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i))
* [misc]taylor:  Taking taylor expansion of (- (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)) in i
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (sqr i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 1) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i) in i
* [misc]taylor:  Taking taylor expansion of (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) into (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) 1) into (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (+ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 0) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (- (/ 0 i) (+ (* (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) (/ 0 i)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (+ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (/ 1 (/ 1 i)) (* 1 1))) (+ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (/ 1 (/ 1 i)) (* (/ 1 (/ 1 alpha)) (/ 1 beta)))) (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (/ 1 (sqr (/ 1 i))) (* 1 (/ 1 beta)))))) into (+ (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i)) beta) (+ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) beta)))
* [misc]approximate:  Taking taylor expansion of (* (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ 1 (- i))) in (beta alpha i) around 0
* [misc]taylor:  Taking taylor expansion of (* (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ 1 (- i))) in i
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) in i
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) in i
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (/ 1 (- alpha))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in i
* [misc]taylor:  Taking taylor expansion of (- beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in i
* [misc]taylor:  Taking taylor expansion of (- alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in i
* [misc]taylor:  Taking taylor expansion of (- i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in i
* [misc]taylor:  Taking taylor expansion of (- beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (+ (/ -1 beta) (fma (/ -1 i) 2 (/ -1 alpha))) into (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))
* [misc]backup-simplify:  Simplify (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) into (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in i
* [misc]taylor:  Taking taylor expansion of (- i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (* (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ 1 (- i))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (/ 1 (- alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (- alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in alpha
* [misc]taylor:  Taking taylor expansion of (- i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (+ (/ -1 beta) (fma (/ -1 i) 2 (/ -1 alpha))) into (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))
* [misc]backup-simplify:  Simplify (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) into (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in alpha
* [misc]taylor:  Taking taylor expansion of (- i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of (* (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ 1 (- i))) in beta
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (/ 1 (- alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in beta
* [misc]taylor:  Taking taylor expansion of (- i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (/ -1 -1) into 1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in beta
* [misc]taylor:  Taking taylor expansion of (- i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of (* (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ 1 (- i))) in beta
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (/ 1 (- alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in beta
* [misc]taylor:  Taking taylor expansion of (- i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (/ -1 -1) into 1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in beta
* [misc]taylor:  Taking taylor expansion of (- i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]backup-simplify:  Simplify (* 1 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (/ -1 i)) into (* -1 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i))
* [misc]taylor:  Taking taylor expansion of (* -1 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) in alpha
* [misc]taylor:  Taking taylor expansion of -1 in alpha
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 i) (/ 0 (- i))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (/ -1 alpha)) into (- (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (- (/ 1 alpha)) (/ -1 i)) into (- (+ (/ 1 i) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (fma (/ -1 i) 2 (/ -1 alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (- (/ (- (+ (/ 1 i) (/ 1 alpha))) -1) (+ (* 1 (/ (fma (/ -1 i) 2 (/ -1 alpha)) -1)))) into (+ (fma (/ -1 i) 2 (/ -1 alpha)) (+ (/ 1 alpha) (/ 1 i)))
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* (+ (fma (/ -1 i) 2 (/ -1 alpha)) (+ (/ 1 alpha) (/ 1 i))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) into (+ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (+ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) alpha)))
* [misc]backup-simplify:  Simplify (+ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 0) (* (+ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (+ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) alpha))) (/ -1 i))) into (- (+ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr i)) (+ (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* alpha i)))))
* [misc]taylor:  Taking taylor expansion of (- (+ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr i)) (+ (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* alpha i))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr i)) (+ (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* alpha i)))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr i)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (sqr i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i)) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr i))
* [misc]taylor:  Taking taylor expansion of (+ (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* alpha i))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i) into (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* alpha i)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (* alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* 0 i) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 i)) into i
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)
* [misc]backup-simplify:  Simplify (+ 0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)
* [misc]backup-simplify:  Simplify (+ 0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)
* [misc]backup-simplify:  Simplify (- (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) into (- (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i))
* [misc]taylor:  Taking taylor expansion of (- (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)) in i
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 1) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (* -1 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) into (* -1 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i))
* [misc]taylor:  Taking taylor expansion of (* -1 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)) in i
* [misc]taylor:  Taking taylor expansion of -1 in i
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 1) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 i) (/ 0 (- i))) (* 0 (/ 0 (- i))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 alpha) (/ 0 (- alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 i) (/ 0 (- i))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 -1) (+ (* 1 (/ 0 -1)) (* (+ (fma (/ -1 i) 2 (/ -1 alpha)) (+ (/ 1 alpha) (/ 1 i))) (/ (fma (/ -1 i) 2 (/ -1 alpha)) -1)))) into (+ (/ (fma (/ -1 i) 2 (/ -1 alpha)) i) (+ (/ (fma (/ -1 i) 2 (/ -1 alpha)) alpha) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))))
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* (+ (fma (/ -1 i) 2 (/ -1 alpha)) (+ (/ 1 alpha) (/ 1 i))) 0) (* (+ (/ (fma (/ -1 i) 2 (/ -1 alpha)) i) (+ (/ (fma (/ -1 i) 2 (/ -1 alpha)) alpha) (sqr (fma (/ -1 i) 2 (/ -1 alpha))))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) into (+ (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i) (+ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) alpha)))
* [misc]backup-simplify:  Simplify (+ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 0) (+ (* (+ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (+ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) alpha))) 0) (* (+ (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i) (+ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) alpha))) (/ -1 i)))) into (- (+ (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i) (+ (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* alpha i)) (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i)))))
* [misc]taylor:  Taking taylor expansion of (- (+ (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i) (+ (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* alpha i)) (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i) (+ (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* alpha i)) (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i)))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i) in alpha
* [misc]taylor:  Taking taylor expansion of (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ -1 i) 2 (/ -1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) 2 (/ -1 alpha))) into (sqr (fma (/ -1 i) 2 (/ -1 alpha)))
* [misc]backup-simplify:  Simplify (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) into (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i) into (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)
* [misc]taylor:  Taking taylor expansion of (+ (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* alpha i)) (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* alpha i)) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (* alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (* 0 i) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 i)) into i
* [misc]backup-simplify:  Simplify (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i) into (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i)) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (sqr i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i)) into (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))
* [misc]backup-simplify:  Simplify (+ (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i) 0) into (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)
* [misc]backup-simplify:  Simplify (+ 0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) into (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)
* [misc]backup-simplify:  Simplify (- (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) into (- (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i))
* [misc]taylor:  Taking taylor expansion of (- (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) in i
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i) in i
* [misc]taylor:  Taking taylor expansion of (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) 1) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (* 0 i))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 i) (+ (* (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i) (/ 0 i)))) into 0
* [misc]backup-simplify:  Simplify (+ (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i) 0) into (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)
* [misc]backup-simplify:  Simplify (+ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr i)) (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) into (+ (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i)))
* [misc]backup-simplify:  Simplify (- (+ (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i)))) into (- (+ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr i)) (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)))
* [misc]taylor:  Taking taylor expansion of (- (+ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr i)) (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i))) in i
* [misc]taylor:  Taking taylor expansion of (+ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr i)) (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) in i
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr i)) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (sqr i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 1) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i) in i
* [misc]taylor:  Taking taylor expansion of (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) 1) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (+ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 0) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (- (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) into (- (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (- (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) into (- (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (- (/ 0 i) (+ (* (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i) (/ 0 i)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* 0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) into (- (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (- (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) into (- (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (* -1 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) into (* -1 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (* -1 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) into (* -1 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (+ (* (* -1 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (/ 1 (/ 1 (- i))) (* 1 1))) (+ (* (- (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (/ 1 (/ 1 (- i))) (* (/ 1 (/ 1 (- alpha))) (/ 1 (- beta))))) (* (- (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (/ 1 (sqr (/ 1 (- i)))) (* 1 (/ 1 (- beta))))))) into (+ (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr i)) beta) (+ (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* alpha i)) beta) (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)))
* [misc]approximate:  Taking taylor expansion of (* (- (sqr (+ beta (fma i 2 alpha))) 1.0) (+ beta (fma i 2 alpha))) in (beta i alpha) around 0
* [misc]taylor:  Taking taylor expansion of (* (- (sqr (+ beta (fma i 2 alpha))) 1.0) (+ beta (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (- (sqr (+ beta (fma i 2 alpha))) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (+ beta (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (* (- (sqr (+ beta (fma i 2 alpha))) 1.0) (+ beta (fma i 2 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (- (sqr (+ beta (fma i 2 alpha))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (sqr (+ beta (fma i 2 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (* (- (sqr (+ beta (fma i 2 alpha))) 1.0) (+ beta (fma i 2 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (- (sqr (+ beta (fma i 2 alpha))) 1.0) in beta
* [misc]taylor:  Taking taylor expansion of (sqr (+ beta (fma i 2 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in beta
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in beta
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (* (- (sqr (+ beta (fma i 2 alpha))) 1.0) (+ beta (fma i 2 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (- (sqr (+ beta (fma i 2 alpha))) 1.0) in beta
* [misc]taylor:  Taking taylor expansion of (sqr (+ beta (fma i 2 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in beta
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in beta
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ 0 (fma i 2 alpha)) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (+ 0 (fma i 2 alpha)) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (* (- (sqr (fma i 2 alpha)) 1.0) (fma i 2 alpha)) into (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))
* [misc]taylor:  Taking taylor expansion of (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)) into (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))
* [misc]taylor:  Taking taylor expansion of (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)) into (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)) into (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 1) (* 1 (fma i 2 alpha))) into (* 2 (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 (fma i 2 alpha)) 0) into (* 2 (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (+ (* (- (sqr (fma i 2 alpha)) 1.0) 1) (* (* 2 (fma i 2 alpha)) (fma i 2 alpha))) into (- (* 3 (sqr (fma i 2 alpha))) 1.0)
* [misc]taylor:  Taking taylor expansion of (- (* 3 (sqr (fma i 2 alpha))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (sqr (fma i 2 alpha))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* 3 (sqr (fma i 2 alpha))) into (* 3 (sqr (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (* 3 (sqr (fma i 2 alpha))) (- 1.0)) into (- (* 3 (sqr (fma i 2 alpha))) 1.0)
* [misc]taylor:  Taking taylor expansion of (- (* 3 (sqr (fma i 2 alpha))) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (* 3 (sqr (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of 3 in alpha
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* 3 (sqr (fma i 2 alpha))) into (* 3 (sqr (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (* 3 (sqr (fma i 2 alpha))) (- 1.0)) into (- (* 3 (sqr (fma i 2 alpha))) 1.0)
* [misc]backup-simplify:  Simplify (- (* 3 (sqr (fma i 2 alpha))) 1.0) into (- (* 3 (sqr (fma i 2 alpha))) 1.0)
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 0) (* 0 (fma i 2 alpha))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 0) (* 0 (- (sqr (fma i 2 alpha)) 1.0))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 0) (* 0 (fma i 2 alpha))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 0) (* 0 (- (sqr (fma i 2 alpha)) 1.0))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 0) (+ (* 1 1) (* 0 (fma i 2 alpha)))) into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ (* (- (sqr (fma i 2 alpha)) 1.0) 0) (+ (* (* 2 (fma i 2 alpha)) 1) (* 1 (fma i 2 alpha)))) into (* 3 (fma i 2 alpha))
* [misc]taylor:  Taking taylor expansion of (* 3 (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (* 3 (fma i 2 alpha)) into (* 3 (fma i 2 alpha))
* [misc]taylor:  Taking taylor expansion of (* 3 (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of 3 in alpha
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (* 3 (fma i 2 alpha)) into (* 3 (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* 3 (fma i 2 alpha)) into (* 3 (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (+ (* (* 3 (fma i 2 alpha)) (sqr (* 1 (* 1 beta)))) (+ (* (- (* 3 (sqr (fma i 2 alpha))) 1.0) (* 1 (* 1 beta))) (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))) into (- (+ (pow (fma i 2 alpha) 3) (+ (* 3 (* beta (sqr (fma i 2 alpha)))) (* 3 (* (sqr beta) (fma i 2 alpha))))) (+ (* 1.0 (fma i 2 alpha)) (* 1.0 beta)))
* [misc]approximate:  Taking taylor expansion of (* (- (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in (beta i alpha) around 0
* [misc]taylor:  Taking taylor expansion of (* (- (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (- (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (* (- (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (- (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (* (- (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (- (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0) in beta
* [misc]taylor:  Taking taylor expansion of (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (* (- (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (- (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0) in beta
* [misc]taylor:  Taking taylor expansion of (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]taylor:  Taking taylor expansion of 1 in i
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 1 in alpha
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (fma (/ 1 i) 2 (/ 1 alpha))) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (fma (/ 1 i) 2 (/ 1 alpha))) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (* 1 (fma (/ 1 i) 2 (/ 1 alpha))) (* (fma (/ 1 i) 2 (/ 1 alpha)) 1)) into (* 2 (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (+ (* 2 (fma (/ 1 i) 2 (/ 1 alpha))) 0) into (* 2 (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (+ (* 1 (fma (/ 1 i) 2 (/ 1 alpha))) (* (* 2 (fma (/ 1 i) 2 (/ 1 alpha))) 1)) into (* 3 (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]taylor:  Taking taylor expansion of (* 3 (fma (/ 1 i) 2 (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (* 3 (fma (/ 1 i) 2 (/ 1 alpha))) into (* 3 (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]taylor:  Taking taylor expansion of (* 3 (fma (/ 1 i) 2 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of 3 in alpha
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (* 3 (fma (/ 1 i) 2 (/ 1 alpha))) into (* 3 (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* 3 (fma (/ 1 i) 2 (/ 1 alpha))) into (* 3 (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 i) 2 (/ 1 alpha))) (* 0 1))) into (sqr (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (- 1.0)) into (- (sqr (fma (/ 1 i) 2 (/ 1 alpha))) 1.0)
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* (* 2 (fma (/ 1 i) 2 (/ 1 alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (* (- (sqr (fma (/ 1 i) 2 (/ 1 alpha))) 1.0) 1))) into (- (* 3 (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0)
* [misc]taylor:  Taking taylor expansion of (- (* 3 (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ 1 i) 2 (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 i) 2 (/ 1 alpha))) into (sqr (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* 3 (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) into (* 3 (sqr (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (* 3 (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (- 1.0)) into (- (* 3 (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0)
* [misc]taylor:  Taking taylor expansion of (- (* 3 (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (* 3 (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of 3 in alpha
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ 1 i) 2 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 i) 2 (/ 1 alpha))) into (sqr (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* 3 (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) into (* 3 (sqr (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (* 3 (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (- 1.0)) into (- (* 3 (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0)
* [misc]backup-simplify:  Simplify (- (* 3 (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0) into (- (* 3 (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0)
* [misc]backup-simplify:  Simplify (+ (* (- (* 3 (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0) (* 1 (* 1 (/ 1 (/ 1 beta))))) (+ (* (* 3 (fma (/ 1 i) 2 (/ 1 alpha))) (sqr (* 1 (* 1 (/ 1 (/ 1 beta)))))) (* 1 (pow (* 1 (* 1 (/ 1 (/ 1 beta)))) 3)))) into (- (+ (* 3 (* (sqr beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (+ (* 3 (* beta (sqr (fma (/ 1 i) 2 (/ 1 alpha))))) (pow beta 3))) (* 1.0 beta))
* [misc]approximate:  Taking taylor expansion of (* (- (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) 1.0) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in (beta i alpha) around 0
* [misc]taylor:  Taking taylor expansion of (* (- (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) 1.0) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (- (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (* (- (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) 1.0) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (- (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in i
* [misc]taylor:  Taking taylor expansion of (- beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in i
* [misc]taylor:  Taking taylor expansion of (- beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (* (- (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) 1.0) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (- (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) 1.0) in beta
* [misc]taylor:  Taking taylor expansion of (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (* (- (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) 1.0) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (- (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) 1.0) in beta
* [misc]taylor:  Taking taylor expansion of (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (* 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of -1 in i
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]taylor:  Taking taylor expansion of -1 in alpha
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (fma (/ -1 i) 2 (/ -1 alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (fma (/ -1 i) 2 (/ -1 alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (+ (* -1 (fma (/ -1 i) 2 (/ -1 alpha))) (* (fma (/ -1 i) 2 (/ -1 alpha)) -1)) into (- (* 2 (fma (/ -1 i) 2 (/ -1 alpha))))
* [misc]backup-simplify:  Simplify (+ (- (* 2 (fma (/ -1 i) 2 (/ -1 alpha)))) 0) into (- (* 2 (fma (/ -1 i) 2 (/ -1 alpha))))
* [misc]backup-simplify:  Simplify (+ (* 1 (fma (/ -1 i) 2 (/ -1 alpha))) (* (- (* 2 (fma (/ -1 i) 2 (/ -1 alpha)))) -1)) into (* 3 (fma (/ -1 i) 2 (/ -1 alpha)))
* [misc]taylor:  Taking taylor expansion of (* 3 (fma (/ -1 i) 2 (/ -1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (* 3 (fma (/ -1 i) 2 (/ -1 alpha))) into (* 3 (fma (/ -1 i) 2 (/ -1 alpha)))
* [misc]taylor:  Taking taylor expansion of (* 3 (fma (/ -1 i) 2 (/ -1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of 3 in alpha
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (* 3 (fma (/ -1 i) 2 (/ -1 alpha))) into (* 3 (fma (/ -1 i) 2 (/ -1 alpha)))
* [misc]backup-simplify:  Simplify (* 3 (fma (/ -1 i) 2 (/ -1 alpha))) into (* 3 (fma (/ -1 i) 2 (/ -1 alpha)))
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) 2 (/ -1 alpha))) (* 0 -1))) into (sqr (fma (/ -1 i) 2 (/ -1 alpha)))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (- 1.0)) into (- (sqr (fma (/ -1 i) 2 (/ -1 alpha))) 1.0)
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* (- (* 2 (fma (/ -1 i) 2 (/ -1 alpha)))) (fma (/ -1 i) 2 (/ -1 alpha))) (* (- (sqr (fma (/ -1 i) 2 (/ -1 alpha))) 1.0) -1))) into (- 1.0 (* 3 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))))
* [misc]taylor:  Taking taylor expansion of (- 1.0 (* 3 (sqr (fma (/ -1 i) 2 (/ -1 alpha))))) in i
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (* 3 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ -1 i) 2 (/ -1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) 2 (/ -1 alpha))) into (sqr (fma (/ -1 i) 2 (/ -1 alpha)))
* [misc]backup-simplify:  Simplify (* 3 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) into (* 3 (sqr (fma (/ -1 i) 2 (/ -1 alpha))))
* [misc]backup-simplify:  Simplify (- (* 3 (sqr (fma (/ -1 i) 2 (/ -1 alpha))))) into (- (* 3 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))))
* [misc]backup-simplify:  Simplify (+ 1.0 (- (* 3 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))))) into (- 1.0 (* 3 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))))
* [misc]taylor:  Taking taylor expansion of (- 1.0 (* 3 (sqr (fma (/ -1 i) 2 (/ -1 alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (* 3 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of 3 in alpha
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ -1 i) 2 (/ -1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) 2 (/ -1 alpha))) into (sqr (fma (/ -1 i) 2 (/ -1 alpha)))
* [misc]backup-simplify:  Simplify (* 3 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) into (* 3 (sqr (fma (/ -1 i) 2 (/ -1 alpha))))
* [misc]backup-simplify:  Simplify (- (* 3 (sqr (fma (/ -1 i) 2 (/ -1 alpha))))) into (- (* 3 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))))
* [misc]backup-simplify:  Simplify (+ 1.0 (- (* 3 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))))) into (- 1.0 (* 3 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))))
* [misc]backup-simplify:  Simplify (- 1.0 (* 3 (sqr (fma (/ -1 i) 2 (/ -1 alpha))))) into (- 1.0 (* 3 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))))
* [misc]backup-simplify:  Simplify (+ (* (- 1.0 (* 3 (sqr (fma (/ -1 i) 2 (/ -1 alpha))))) (* 1 (* 1 (/ 1 (/ 1 (- beta)))))) (+ (* (* 3 (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (* 1 (* 1 (/ 1 (/ 1 (- beta))))))) (* -1 (pow (* 1 (* 1 (/ 1 (/ 1 (- beta))))) 3)))) into (- (+ (* 3 (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) beta)) (+ (* 3 (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr beta))) (pow beta 3))) (* 1.0 beta))
* [misc]approximate:  Taking taylor expansion of (sqr (+ beta (fma i 2 alpha))) in (beta i alpha) around 0
* [misc]taylor:  Taking taylor expansion of (sqr (+ beta (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (sqr (+ beta (fma i 2 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (sqr (+ beta (fma i 2 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in beta
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (sqr (+ beta (fma i 2 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in beta
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ 0 (fma i 2 alpha)) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (sqr (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 1) (* 1 (fma i 2 alpha))) into (* 2 (fma i 2 alpha))
* [misc]taylor:  Taking taylor expansion of (* 2 (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (* 2 (fma i 2 alpha)) into (* 2 (fma i 2 alpha))
* [misc]taylor:  Taking taylor expansion of (* 2 (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (* 2 (fma i 2 alpha)) into (* 2 (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* 2 (fma i 2 alpha)) into (* 2 (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 0) (* 0 (fma i 2 alpha))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 0) (* 0 (fma i 2 alpha))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 0) (+ (* 1 1) (* 0 (fma i 2 alpha)))) into 1
* [misc]taylor:  Taking taylor expansion of 1 in i
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 1 in alpha
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ (* 1 (sqr (* 1 (* 1 beta)))) (+ (* (* 2 (fma i 2 alpha)) (* 1 (* 1 beta))) (sqr (fma i 2 alpha)))) into (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta)))
* [misc]approximate:  Taking taylor expansion of (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in (beta i alpha) around 0
* [misc]taylor:  Taking taylor expansion of (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]taylor:  Taking taylor expansion of 1 in i
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 1 in alpha
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (fma (/ 1 i) 2 (/ 1 alpha))) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (* 1 (fma (/ 1 i) 2 (/ 1 alpha))) (* (fma (/ 1 i) 2 (/ 1 alpha)) 1)) into (* 2 (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]taylor:  Taking taylor expansion of (* 2 (fma (/ 1 i) 2 (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (* 2 (fma (/ 1 i) 2 (/ 1 alpha))) into (* 2 (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]taylor:  Taking taylor expansion of (* 2 (fma (/ 1 i) 2 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (* 2 (fma (/ 1 i) 2 (/ 1 alpha))) into (* 2 (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* 2 (fma (/ 1 i) 2 (/ 1 alpha))) into (* 2 (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 i) 2 (/ 1 alpha))) (* 0 1))) into (sqr (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ 1 i) 2 (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 i) 2 (/ 1 alpha))) into (sqr (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ 1 i) 2 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 i) 2 (/ 1 alpha))) into (sqr (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (sqr (fma (/ 1 i) 2 (/ 1 alpha))) into (sqr (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (+ (* (* 2 (fma (/ 1 i) 2 (/ 1 alpha))) (* 1 (* 1 (/ 1 (/ 1 beta))))) (* 1 (sqr (* 1 (* 1 (/ 1 (/ 1 beta)))))))) into (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (+ (* 2 (* beta (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr beta)))
* [misc]approximate:  Taking taylor expansion of (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in (beta i alpha) around 0
* [misc]taylor:  Taking taylor expansion of (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in i
* [misc]taylor:  Taking taylor expansion of (- beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]taylor:  Taking taylor expansion of 1 in i
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 1 in alpha
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (fma (/ -1 i) 2 (/ -1 alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (+ (* -1 (fma (/ -1 i) 2 (/ -1 alpha))) (* (fma (/ -1 i) 2 (/ -1 alpha)) -1)) into (- (* 2 (fma (/ -1 i) 2 (/ -1 alpha))))
* [misc]taylor:  Taking taylor expansion of (- (* 2 (fma (/ -1 i) 2 (/ -1 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (fma (/ -1 i) 2 (/ -1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (* 2 (fma (/ -1 i) 2 (/ -1 alpha))) into (* 2 (fma (/ -1 i) 2 (/ -1 alpha)))
* [misc]backup-simplify:  Simplify (- (* 2 (fma (/ -1 i) 2 (/ -1 alpha)))) into (- (* 2 (fma (/ -1 i) 2 (/ -1 alpha))))
* [misc]taylor:  Taking taylor expansion of (- (* 2 (fma (/ -1 i) 2 (/ -1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 2 (fma (/ -1 i) 2 (/ -1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (* 2 (fma (/ -1 i) 2 (/ -1 alpha))) into (* 2 (fma (/ -1 i) 2 (/ -1 alpha)))
* [misc]backup-simplify:  Simplify (- (* 2 (fma (/ -1 i) 2 (/ -1 alpha)))) into (- (* 2 (fma (/ -1 i) 2 (/ -1 alpha))))
* [misc]backup-simplify:  Simplify (- (* 2 (fma (/ -1 i) 2 (/ -1 alpha)))) into (- (* 2 (fma (/ -1 i) 2 (/ -1 alpha))))
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) 2 (/ -1 alpha))) (* 0 -1))) into (sqr (fma (/ -1 i) 2 (/ -1 alpha)))
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ -1 i) 2 (/ -1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) 2 (/ -1 alpha))) into (sqr (fma (/ -1 i) 2 (/ -1 alpha)))
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ -1 i) 2 (/ -1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) 2 (/ -1 alpha))) into (sqr (fma (/ -1 i) 2 (/ -1 alpha)))
* [misc]backup-simplify:  Simplify (sqr (fma (/ -1 i) 2 (/ -1 alpha))) into (sqr (fma (/ -1 i) 2 (/ -1 alpha)))
* [misc]backup-simplify:  Simplify (+ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (+ (* (- (* 2 (fma (/ -1 i) 2 (/ -1 alpha)))) (* 1 (* 1 (/ 1 (/ 1 (- beta)))))) (* 1 (sqr (* 1 (* 1 (/ 1 (/ 1 (- beta))))))))) into (+ (sqr beta) (+ (* 2 (* (fma (/ -1 i) 2 (/ -1 alpha)) beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))))
* * * [misc]progress:  tayloring alt 8 of 10
* [misc]approximate:  Taking taylor expansion of (/ (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)) in (beta alpha i) around 0
* [misc]taylor:  Taking taylor expansion of (/ (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) in i
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (+ (+ beta alpha) i) in i
* [misc]taylor:  Taking taylor expansion of (+ beta alpha) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ beta alpha) into (+ beta alpha)
* [misc]backup-simplify:  Simplify (+ (+ beta alpha) 0) into (+ beta alpha)
* [misc]backup-simplify:  Simplify (+ beta (fma i 2 alpha)) into (+ beta (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (/ (+ beta alpha) (+ beta (fma i 2 alpha))) into (/ (+ beta alpha) (+ beta (fma i 2 alpha)))
* [misc]taylor:  Taking taylor expansion of (fma i (+ (+ beta alpha) i) (* alpha beta)) in i
* [misc]backup-simplify:  Simplify (fma i (+ (+ beta alpha) i) (* alpha beta)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (/ i (+ beta (fma i 2 alpha))) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ beta (fma i 2 alpha)) into (+ beta (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (/ 1 (+ beta (fma i 2 alpha))) into (/ 1 (+ beta (fma i 2 alpha)))
* [misc]taylor:  Taking taylor expansion of (- (sqr (+ beta (fma i 2 alpha))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (sqr (+ beta (fma i 2 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (/ (+ beta alpha) (+ beta (fma i 2 alpha))) (fma i (+ beta (+ alpha i)) (* beta alpha))) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (+ beta alpha)) (+ beta (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (* (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (+ beta alpha)) (+ beta (fma i 2 alpha))) (/ 1 (+ beta (fma i 2 alpha)))) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (+ beta alpha)) (sqr (+ beta (fma i 2 alpha))))
* [misc]backup-simplify:  Simplify (+ beta (fma i 2 alpha)) into (+ beta (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* (+ beta (fma i 2 alpha)) (+ beta (fma i 2 alpha))) into (sqr (+ beta (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (+ beta (fma i 2 alpha))) (- 1.0)) into (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0)
* [misc]backup-simplify:  Simplify (/ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (+ beta alpha)) (sqr (+ beta (fma i 2 alpha)))) (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0)) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (+ beta alpha)) (* (sqr (+ beta (fma i 2 alpha))) (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0)))
* [misc]taylor:  Taking taylor expansion of (/ (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ beta alpha) i) in alpha
* [misc]taylor:  Taking taylor expansion of (+ beta alpha) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (+ beta i) into (+ beta i)
* [misc]backup-simplify:  Simplify (+ beta (fma i 2 alpha)) into (+ beta (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (/ (+ beta i) (+ beta (fma i 2 alpha))) into (/ (+ beta i) (+ beta (fma i 2 alpha)))
* [misc]taylor:  Taking taylor expansion of (fma i (+ (+ beta alpha) i) (* alpha beta)) in alpha
* [misc]backup-simplify:  Simplify (fma i (+ (+ beta alpha) i) (* alpha beta)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (/ i (+ beta (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ beta (fma i 2 alpha)) into (+ beta (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (/ i (+ beta (fma i 2 alpha))) into (/ i (+ beta (fma i 2 alpha)))
* [misc]taylor:  Taking taylor expansion of (- (sqr (+ beta (fma i 2 alpha))) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (+ beta (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (/ (+ beta i) (+ beta (fma i 2 alpha))) (fma i (+ beta (+ alpha i)) (* beta alpha))) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (+ beta i)) (+ beta (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (* (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (+ beta i)) (+ beta (fma i 2 alpha))) (/ i (+ beta (fma i 2 alpha)))) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* i (+ beta i))) (sqr (+ beta (fma i 2 alpha))))
* [misc]backup-simplify:  Simplify (+ beta (fma i 2 alpha)) into (+ beta (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* (+ beta (fma i 2 alpha)) (+ beta (fma i 2 alpha))) into (sqr (+ beta (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (+ beta (fma i 2 alpha))) (- 1.0)) into (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0)
* [misc]backup-simplify:  Simplify (/ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* i (+ beta i))) (sqr (+ beta (fma i 2 alpha)))) (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0)) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* i (+ beta i))) (* (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0) (sqr (+ beta (fma i 2 alpha)))))
* [misc]taylor:  Taking taylor expansion of (/ (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)) in beta
* [misc]taylor:  Taking taylor expansion of (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ beta alpha) i) in beta
* [misc]taylor:  Taking taylor expansion of (+ beta alpha) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in beta
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ 0 alpha) into alpha
* [misc]backup-simplify:  Simplify (+ alpha i) into (+ alpha i)
* [misc]backup-simplify:  Simplify (+ 0 (fma i 2 alpha)) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (/ (+ alpha i) (fma i 2 alpha)) into (/ (+ alpha i) (fma i 2 alpha))
* [misc]taylor:  Taking taylor expansion of (fma i (+ (+ beta alpha) i) (* alpha beta)) in beta
* [misc]backup-simplify:  Simplify (fma i (+ (+ beta alpha) i) (* alpha beta)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (/ i (+ beta (fma i 2 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in beta
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ 0 (fma i 2 alpha)) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (/ i (fma i 2 alpha)) into (/ i (fma i 2 alpha))
* [misc]taylor:  Taking taylor expansion of (- (sqr (+ beta (fma i 2 alpha))) 1.0) in beta
* [misc]taylor:  Taking taylor expansion of (sqr (+ beta (fma i 2 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in beta
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (/ (+ alpha i) (fma i 2 alpha)) (fma i (+ beta (+ alpha i)) (* beta alpha))) into (/ (* (+ alpha i) (fma i (+ beta (+ alpha i)) (* beta alpha))) (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* (/ (* (+ alpha i) (fma i (+ beta (+ alpha i)) (* beta alpha))) (fma i 2 alpha)) (/ i (fma i 2 alpha))) into (/ (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (sqr (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (+ 0 (fma i 2 alpha)) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (/ (/ (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (sqr (fma i 2 alpha))) (- (sqr (fma i 2 alpha)) 1.0)) into (/ (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]taylor:  Taking taylor expansion of (/ (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)) in beta
* [misc]taylor:  Taking taylor expansion of (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ beta alpha) i) in beta
* [misc]taylor:  Taking taylor expansion of (+ beta alpha) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in beta
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ 0 alpha) into alpha
* [misc]backup-simplify:  Simplify (+ alpha i) into (+ alpha i)
* [misc]backup-simplify:  Simplify (+ 0 (fma i 2 alpha)) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (/ (+ alpha i) (fma i 2 alpha)) into (/ (+ alpha i) (fma i 2 alpha))
* [misc]taylor:  Taking taylor expansion of (fma i (+ (+ beta alpha) i) (* alpha beta)) in beta
* [misc]backup-simplify:  Simplify (fma i (+ (+ beta alpha) i) (* alpha beta)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (/ i (+ beta (fma i 2 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in beta
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ 0 (fma i 2 alpha)) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (/ i (fma i 2 alpha)) into (/ i (fma i 2 alpha))
* [misc]taylor:  Taking taylor expansion of (- (sqr (+ beta (fma i 2 alpha))) 1.0) in beta
* [misc]taylor:  Taking taylor expansion of (sqr (+ beta (fma i 2 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in beta
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (/ (+ alpha i) (fma i 2 alpha)) (fma i (+ beta (+ alpha i)) (* beta alpha))) into (/ (* (+ alpha i) (fma i (+ beta (+ alpha i)) (* beta alpha))) (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* (/ (* (+ alpha i) (fma i (+ beta (+ alpha i)) (* beta alpha))) (fma i 2 alpha)) (/ i (fma i 2 alpha))) into (/ (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (sqr (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (+ 0 (fma i 2 alpha)) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (/ (/ (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (sqr (fma i 2 alpha))) (- (sqr (fma i 2 alpha)) 1.0)) into (/ (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]taylor:  Taking taylor expansion of (/ (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (+ 0 i) into i
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) into (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)
* [misc]backup-simplify:  Simplify (* i (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) into (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)) into (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]taylor:  Taking taylor expansion of (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) in i
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in i
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (sqr i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 1) (+ (* 0 0) (* 0 0))) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)) into (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (- (/ 0 (fma i 2 alpha)) (+ (* (/ i (fma i 2 alpha)) (/ 1 (fma i 2 alpha))))) into (- (/ i (sqr (fma i 2 alpha))))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (- (/ 1 (fma i 2 alpha)) (+ (* (/ (+ alpha i) (fma i 2 alpha)) (/ 1 (fma i 2 alpha))))) into (- (/ 1 (fma i 2 alpha)) (+ (/ i (sqr (fma i 2 alpha))) (/ alpha (sqr (fma i 2 alpha)))))
* [misc]backup-simplify:  Simplify (+ (* (/ (+ alpha i) (fma i 2 alpha)) 0) (* (- (/ 1 (fma i 2 alpha)) (+ (/ i (sqr (fma i 2 alpha))) (/ alpha (sqr (fma i 2 alpha))))) (fma i (+ beta (+ alpha i)) (* beta alpha)))) into (- (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha)) (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) alpha) (sqr (fma i 2 alpha))) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha)))))
* [misc]backup-simplify:  Simplify (+ (* (/ (* (+ alpha i) (fma i (+ beta (+ alpha i)) (* beta alpha))) (fma i 2 alpha)) (- (/ i (sqr (fma i 2 alpha))))) (* (- (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha)) (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) alpha) (sqr (fma i 2 alpha))) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha))))) (/ i (fma i 2 alpha)))) into (- (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha))) (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (fma i 2 alpha) 3))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (pow (fma i 2 alpha) 3)))))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 1) (* 1 (fma i 2 alpha))) into (* 2 (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 (fma i 2 alpha)) 0) into (* 2 (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- (/ (- (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha))) (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (fma i 2 alpha) 3))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (pow (fma i 2 alpha) 3))))) (- (sqr (fma i 2 alpha)) 1.0)) (+ (* (/ (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (/ (* 2 (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))))) into (- (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0))))))))
* [misc]taylor:  Taking taylor expansion of (- (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) into (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)) into (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]taylor:  Taking taylor expansion of (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (sqr i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (sqr (- (sqr (fma i 2 alpha)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) into (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (- (sqr (fma i 2 alpha)) 1.0) (- (sqr (fma i 2 alpha)) 1.0)) into (sqr (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))) into (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))
* [misc]taylor:  Taking taylor expansion of (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (* alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (pow (fma i 2 alpha) 3) in alpha
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (fma i 2 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 3 (log (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of 3 in alpha
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (log (fma i 2 alpha)) into (log (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* 3 (log (fma i 2 alpha))) into (* 3 (log (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (fma i 2 alpha)))) into (pow (fma i 2 alpha) 3)
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* 0 i) into 0
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 i)) into i
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* 0 0)) into (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)) into (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0))) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]taylor:  Taking taylor expansion of (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (* alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (sqr (- (sqr (fma i 2 alpha)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* 0 i) into 0
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 i)) into i
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* 0 0)) into (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (- (sqr (fma i 2 alpha)) 1.0) (- (sqr (fma i 2 alpha)) 1.0)) into (sqr (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))) into (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (sqr i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (pow (fma i 2 alpha) 3) in alpha
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (fma i 2 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 3 (log (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of 3 in alpha
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (log (fma i 2 alpha)) into (log (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* 3 (log (fma i 2 alpha))) into (* 3 (log (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (fma i 2 alpha)))) into (pow (fma i 2 alpha) 3)
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) into (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)) into (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0))) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) into (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))
* [misc]backup-simplify:  Simplify (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)))) into (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0))))
* [misc]backup-simplify:  Simplify (+ 0 (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0))))) into (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0))))
* [misc]backup-simplify:  Simplify (+ 0 (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0))))) into (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0))))
* [misc]backup-simplify:  Simplify (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0))))) into (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))))
* [misc]backup-simplify:  Simplify (- (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))))) into (- (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))))
* [misc]backup-simplify:  Simplify (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (- (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))))) into (- (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0))))))
* [misc]taylor:  Taking taylor expansion of (- (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)))))) in i
* [misc]taylor:  Taking taylor expansion of (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) in i
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in i
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 1) (* 0 0)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)) into (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]taylor:  Taking taylor expansion of (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) in i
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in i
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (sqr i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (sqr (- (sqr (fma i 2 alpha)) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 1) (+ (* 0 0) (* 0 0))) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (- (sqr (fma i 2 alpha)) 1.0) (- (sqr (fma i 2 alpha)) 1.0)) into (sqr (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))) into (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) in i
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in i
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (sqr i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (pow (fma i 2 alpha) 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (fma i 2 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log (fma i 2 alpha))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (log (fma i 2 alpha)) into (log (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* 3 (log (fma i 2 alpha))) into (* 3 (log (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (fma i 2 alpha)))) into (pow (fma i 2 alpha) 3)
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 1) (+ (* 0 0) (* 0 0))) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)) into (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0))) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (+ (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) 0) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) (* 0 i)) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ (* i 0) (* 1 (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i))) into (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 0) (* 0 (fma i 2 alpha))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 0) (* 0 (fma i 2 alpha))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (fma i 2 alpha)) 0) (* 0 (- (sqr (fma i 2 alpha)) 1.0))) into 0
* [misc]backup-simplify:  Simplify (- (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (+ (* (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (/ 0 (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))))) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]taylor:  Taking taylor expansion of (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) in i
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in i
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 1) (* 0 0)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)) into (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (+ (* (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (sqr (* i (* 1 1)))) (+ (* (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (* i (* alpha 1))) (* (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (* i (* 1 beta))))) into (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* beta i)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))))
* [misc]approximate:  Taking taylor expansion of (/ (* (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (- (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0)) in (beta alpha i) around 0
* [misc]taylor:  Taking taylor expansion of (/ (* (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (- (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (* (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) in i
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) in i
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (/ 1 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) into (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) into (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) into (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) into (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (- (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (* (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) into (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) into (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (- 1.0)) into (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0)
* [misc]backup-simplify:  Simplify (/ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0)) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0)))
* [misc]taylor:  Taking taylor expansion of (/ (* (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (- (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (* (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (/ 1 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) into (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) into (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) into (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) into (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))
* [misc]taylor:  Taking taylor expansion of (- (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (* (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i))
* [misc]backup-simplify:  Simplify (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) into (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) into (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (- 1.0)) into (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0)
* [misc]backup-simplify:  Simplify (/ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i)) (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0)) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (* i (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0))))
* [misc]taylor:  Taking taylor expansion of (/ (* (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (- (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0)) in beta
* [misc]taylor:  Taking taylor expansion of (* (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (/ 1 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (/ 1 i) 1) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (- (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0) in beta
* [misc]taylor:  Taking taylor expansion of (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* 1 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (/ 1 i)) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) 1) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)
* [misc]taylor:  Taking taylor expansion of (/ (* (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (- (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0)) in beta
* [misc]taylor:  Taking taylor expansion of (* (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (/ 1 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (/ 1 i) 1) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (- (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0) in beta
* [misc]taylor:  Taking taylor expansion of (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* 1 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (/ 1 i)) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) 1) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (fma (/ 1 i) 2 (/ 1 alpha))) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (/ 1 i) (/ (fma (/ 1 i) 2 (/ 1 alpha)) 1)))) into (- (/ (fma (/ 1 i) 2 (/ 1 alpha)) i))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 alpha)) into (/ 1 alpha)
* [misc]backup-simplify:  Simplify (+ (/ 1 alpha) (/ 1 i)) into (+ (/ 1 i) (/ 1 alpha))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (fma (/ 1 i) 2 (/ 1 alpha))) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (- (/ (+ (/ 1 i) (/ 1 alpha)) 1) (+ (* 1 (/ (fma (/ 1 i) 2 (/ 1 alpha)) 1)))) into (- (+ (/ 1 i) (/ 1 alpha)) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* (- (+ (/ 1 i) (/ 1 alpha)) (fma (/ 1 i) 2 (/ 1 alpha))) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))) into (- (+ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) alpha)) (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (+ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (- (/ (fma (/ 1 i) 2 (/ 1 alpha)) i))) (* (- (+ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) alpha)) (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))) (/ 1 i))) into (- (+ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i))) (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (fma (/ 1 i) 2 (/ 1 alpha))) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (* 1 (fma (/ 1 i) 2 (/ 1 alpha))) (* (fma (/ 1 i) 2 (/ 1 alpha)) 1)) into (* 2 (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (+ (* 2 (fma (/ 1 i) 2 (/ 1 alpha))) 0) into (* 2 (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (- (/ (- (+ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i))) (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i))) 1) (+ (* (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) (/ (* 2 (fma (/ 1 i) 2 (/ 1 alpha))) 1)))) into (- (+ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i))) (* 4 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))
* [misc]taylor:  Taking taylor expansion of (- (+ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i))) (* 4 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (sqr i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i))
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (* alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* 0 i) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 i)) into i
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)
* [misc]taylor:  Taking taylor expansion of (* 4 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)) in alpha
* [misc]taylor:  Taking taylor expansion of 4 in alpha
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) into (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i) into (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)
* [misc]backup-simplify:  Simplify (+ 0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)
* [misc]backup-simplify:  Simplify (+ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) 0) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 1) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 1) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 i) (/ 0 i)) (* 0 (/ 0 i)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (/ 1 i) (/ 0 1)) (* (- (/ (fma (/ 1 i) 2 (/ 1 alpha)) i)) (/ (fma (/ 1 i) 2 (/ 1 alpha)) 1)))) into (/ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) i)
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (- (+ (/ 1 i) (/ 1 alpha)) (fma (/ 1 i) 2 (/ 1 alpha))) (/ (fma (/ 1 i) 2 (/ 1 alpha)) 1)))) into (- (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (+ (/ (fma (/ 1 i) 2 (/ 1 alpha)) i) (/ (fma (/ 1 i) 2 (/ 1 alpha)) alpha)))
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* (- (+ (/ 1 i) (/ 1 alpha)) (fma (/ 1 i) 2 (/ 1 alpha))) 0) (* (- (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (+ (/ (fma (/ 1 i) 2 (/ 1 alpha)) i) (/ (fma (/ 1 i) 2 (/ 1 alpha)) alpha))) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))))) into (- (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (+ (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) alpha) (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))
* [misc]backup-simplify:  Simplify (+ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (/ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) i)) (+ (* (- (+ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) alpha)) (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))) (- (/ (fma (/ 1 i) 2 (/ 1 alpha)) i))) (* (- (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (+ (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) alpha) (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i))) (/ 1 i)))) into (- (* 3 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)) (+ (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (* alpha i)))))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 i) 2 (/ 1 alpha))) (* 0 1))) into (sqr (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (- 1.0)) into (- (sqr (fma (/ 1 i) 2 (/ 1 alpha))) 1.0)
* [misc]backup-simplify:  Simplify (- (/ (- (* 3 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)) (+ (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (* alpha i))))) 1) (+ (* (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) (/ (- (sqr (fma (/ 1 i) 2 (/ 1 alpha))) 1.0) 1)) (* (- (+ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i))) (* 4 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i))) (/ (* 2 (fma (/ 1 i) 2 (/ 1 alpha))) 1)))) into (- (+ (* 1.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (* 10 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i))) (+ (* 4 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (* 4 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (* alpha i)))))
* [misc]taylor:  Taking taylor expansion of (- (+ (* 1.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (* 10 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i))) (+ (* 4 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (* 4 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (* alpha i))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* 1.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (* 10 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 1.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) in alpha
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)
* [misc]taylor:  Taking taylor expansion of (* 10 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)) in alpha
* [misc]taylor:  Taking taylor expansion of 10 in alpha
* [misc]backup-simplify:  Simplify 10 into 10
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ 1 i) 2 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 i) 2 (/ 1 alpha))) into (sqr (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) into (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i) into (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (* 4 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (* alpha i)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 4 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) in alpha
* [misc]taylor:  Taking taylor expansion of 4 in alpha
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i)) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (sqr i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) into (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i)) into (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))
* [misc]taylor:  Taking taylor expansion of (* 4 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (* alpha i))) in alpha
* [misc]taylor:  Taking taylor expansion of 4 in alpha
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (* alpha i)) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (* alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) into (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* 0 i) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 i)) into i
* [misc]backup-simplify:  Simplify (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i) into (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)
* [misc]backup-simplify:  Simplify (* 4 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)) into (* 4 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i))
* [misc]backup-simplify:  Simplify (+ 0 (* 4 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i))) into (* 4 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i))
* [misc]backup-simplify:  Simplify (- (* 4 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i))) into (- (* 4 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))
* [misc]backup-simplify:  Simplify (+ 0 (- (* 4 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))) into (- (* 4 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))
* [misc]taylor:  Taking taylor expansion of (- (* 4 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i) in i
* [misc]taylor:  Taking taylor expansion of (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) into (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) 1) into (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (* 0 i))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 i) (+ (* (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) (/ 0 i)))) into 0
* [misc]backup-simplify:  Simplify (+ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) 0) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i))
* [misc]backup-simplify:  Simplify (* 4 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)) into (* 4 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i))
* [misc]backup-simplify:  Simplify (- (* 4 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i))) into (- (* 4 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))
* [misc]backup-simplify:  Simplify (+ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) (- (* 4 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))) into (- (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) (* 4 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))
* [misc]taylor:  Taking taylor expansion of (- (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) (* 4 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i))) in i
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (sqr i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 1) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (* 4 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i) in i
* [misc]taylor:  Taking taylor expansion of (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) into (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) 1) into (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (+ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 0) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (- (/ 0 i) (+ (* (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) (/ 0 i)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (+ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (/ 1 (/ 1 i)) (* 1 (pow (/ 1 beta) 3)))) (+ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (/ 1 (/ 1 i)) (* (/ 1 (/ 1 alpha)) (pow (/ 1 beta) 4)))) (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (* (/ 1 (/ 1 i)) (* 1 (sqr (/ 1 beta)))))))) into (+ (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) (pow beta 3)) (+ (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i)) (pow beta 4)) (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) (pow beta 4))))
* [misc]approximate:  Taking taylor expansion of (/ (* (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) (- (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) 1.0)) in (beta alpha i) around 0
* [misc]taylor:  Taking taylor expansion of (/ (* (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) (- (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (* (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) in i
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) in i
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) in i
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (/ 1 (- alpha))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in i
* [misc]taylor:  Taking taylor expansion of (- beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in i
* [misc]taylor:  Taking taylor expansion of (- alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in i
* [misc]taylor:  Taking taylor expansion of (- i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in i
* [misc]taylor:  Taking taylor expansion of (- beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (+ (/ -1 beta) (fma (/ -1 i) 2 (/ -1 alpha))) into (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))
* [misc]backup-simplify:  Simplify (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) into (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in i
* [misc]taylor:  Taking taylor expansion of (- i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in i
* [misc]taylor:  Taking taylor expansion of (- beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (+ (/ -1 beta) (fma (/ -1 i) 2 (/ -1 alpha))) into (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))
* [misc]backup-simplify:  Simplify (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) into (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))
* [misc]taylor:  Taking taylor expansion of (- (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in i
* [misc]taylor:  Taking taylor expansion of (- beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) into (* -1 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))
* [misc]backup-simplify:  Simplify (* (* -1 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))) (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))
* [misc]backup-simplify:  Simplify (+ (/ -1 beta) (fma (/ -1 i) 2 (/ -1 alpha))) into (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))
* [misc]backup-simplify:  Simplify (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) into (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (- 1.0)) into (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0))
* [misc]backup-simplify:  Simplify (/ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))) (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0))) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0))))
* [misc]taylor:  Taking taylor expansion of (/ (* (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) (- (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (* (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (/ 1 (- alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (- alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in alpha
* [misc]taylor:  Taking taylor expansion of (- i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (+ (/ -1 beta) (fma (/ -1 i) 2 (/ -1 alpha))) into (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))
* [misc]backup-simplify:  Simplify (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) into (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in alpha
* [misc]taylor:  Taking taylor expansion of (- i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (+ (/ -1 beta) (fma (/ -1 i) 2 (/ -1 alpha))) into (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))
* [misc]backup-simplify:  Simplify (/ (/ -1 i) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) into (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))
* [misc]taylor:  Taking taylor expansion of (- (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) into (* -1 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))
* [misc]backup-simplify:  Simplify (* (* -1 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))) (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) i))
* [misc]backup-simplify:  Simplify (+ (/ -1 beta) (fma (/ -1 i) 2 (/ -1 alpha))) into (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))
* [misc]backup-simplify:  Simplify (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) into (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (- 1.0)) into (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0))
* [misc]backup-simplify:  Simplify (/ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) i)) (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0))) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* i (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0)))))
* [misc]taylor:  Taking taylor expansion of (/ (* (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) (- (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) 1.0)) in beta
* [misc]taylor:  Taking taylor expansion of (* (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) in beta
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (/ 1 (- alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in beta
* [misc]taylor:  Taking taylor expansion of (- i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (/ -1 -1) into 1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in beta
* [misc]taylor:  Taking taylor expansion of (- i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (/ (/ -1 i) -1) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (- (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) 1.0) in beta
* [misc]taylor:  Taking taylor expansion of (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* 1 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (/ 1 i)) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i) 1) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)
* [misc]taylor:  Taking taylor expansion of (/ (* (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) (- (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) 1.0)) in beta
* [misc]taylor:  Taking taylor expansion of (* (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) in beta
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (/ 1 (- alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in beta
* [misc]taylor:  Taking taylor expansion of (- i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (/ -1 -1) into 1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in beta
* [misc]taylor:  Taking taylor expansion of (- i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (/ (/ -1 i) -1) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (- (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) 1.0) in beta
* [misc]taylor:  Taking taylor expansion of (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* 1 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (/ 1 i)) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i) 1) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 i) (/ 0 (- i))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (fma (/ -1 i) 2 (/ -1 alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (- (/ 0 -1) (+ (* (/ 1 i) (/ (fma (/ -1 i) 2 (/ -1 alpha)) -1)))) into (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (/ -1 alpha)) into (- (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (- (/ 1 alpha)) (/ -1 i)) into (- (+ (/ 1 i) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (fma (/ -1 i) 2 (/ -1 alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (- (/ (- (+ (/ 1 i) (/ 1 alpha))) -1) (+ (* 1 (/ (fma (/ -1 i) 2 (/ -1 alpha)) -1)))) into (+ (fma (/ -1 i) 2 (/ -1 alpha)) (+ (/ 1 alpha) (/ 1 i)))
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* (+ (fma (/ -1 i) 2 (/ -1 alpha)) (+ (/ 1 alpha) (/ 1 i))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) into (+ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (+ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) alpha)))
* [misc]backup-simplify:  Simplify (+ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)) (* (+ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (+ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) alpha))) (/ 1 i))) into (+ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr i)) (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* alpha i))))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (fma (/ -1 i) 2 (/ -1 alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (+ (* -1 (fma (/ -1 i) 2 (/ -1 alpha))) (* (fma (/ -1 i) 2 (/ -1 alpha)) -1)) into (- (* 2 (fma (/ -1 i) 2 (/ -1 alpha))))
* [misc]backup-simplify:  Simplify (+ (- (* 2 (fma (/ -1 i) 2 (/ -1 alpha)))) 0) into (- (* 2 (fma (/ -1 i) 2 (/ -1 alpha))))
* [misc]backup-simplify:  Simplify (- (/ (+ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr i)) (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* alpha i)))) 1) (+ (* (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i) (/ (- (* 2 (fma (/ -1 i) 2 (/ -1 alpha)))) 1)))) into (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (+ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i)) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* alpha i)))))
* [misc]taylor:  Taking taylor expansion of (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (+ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i)) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* alpha i))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i) into (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)
* [misc]taylor:  Taking taylor expansion of (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (+ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i)) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* alpha i)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i) into (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)
* [misc]taylor:  Taking taylor expansion of (+ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i)) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* alpha i))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (sqr i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr i)) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i))
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* alpha i)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (* alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* 0 i) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 i)) into i
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)
* [misc]backup-simplify:  Simplify (+ 0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)
* [misc]backup-simplify:  Simplify (+ 0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)
* [misc]backup-simplify:  Simplify (+ 0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 1) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 1) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 i) (/ 0 (- i))) (* 0 (/ 0 (- i))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 -1) (+ (* (/ 1 i) (/ 0 -1)) (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) i) (/ (fma (/ -1 i) 2 (/ -1 alpha)) -1)))) into (/ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) i)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 alpha) (/ 0 (- alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 i) (/ 0 (- i))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 -1) (+ (* 1 (/ 0 -1)) (* (+ (fma (/ -1 i) 2 (/ -1 alpha)) (+ (/ 1 alpha) (/ 1 i))) (/ (fma (/ -1 i) 2 (/ -1 alpha)) -1)))) into (+ (/ (fma (/ -1 i) 2 (/ -1 alpha)) i) (+ (/ (fma (/ -1 i) 2 (/ -1 alpha)) alpha) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))))
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* (+ (fma (/ -1 i) 2 (/ -1 alpha)) (+ (/ 1 alpha) (/ 1 i))) 0) (* (+ (/ (fma (/ -1 i) 2 (/ -1 alpha)) i) (+ (/ (fma (/ -1 i) 2 (/ -1 alpha)) alpha) (sqr (fma (/ -1 i) 2 (/ -1 alpha))))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) into (+ (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i) (+ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) alpha)))
* [misc]backup-simplify:  Simplify (+ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (/ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) i)) (+ (* (+ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (+ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) alpha))) (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)) (* (+ (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i) (+ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) alpha))) (/ 1 i)))) into (+ (* 3 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* alpha i))) (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i)))))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) 2 (/ -1 alpha))) (* 0 -1))) into (sqr (fma (/ -1 i) 2 (/ -1 alpha)))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (- 1.0)) into (- (sqr (fma (/ -1 i) 2 (/ -1 alpha))) 1.0)
* [misc]backup-simplify:  Simplify (- (/ (+ (* 3 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* alpha i))) (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))))) 1) (+ (* (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i) (/ (- (sqr (fma (/ -1 i) 2 (/ -1 alpha))) 1.0) 1)) (* (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (+ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i)) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* alpha i))))) (/ (- (* 2 (fma (/ -1 i) 2 (/ -1 alpha)))) 1)))) into (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* alpha i))) (+ (* 7 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* alpha i))) (+ (* 3 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (* 1.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i))))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* alpha i))) (+ (* 7 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* alpha i))) (+ (* 3 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (* 1.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i)) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (sqr i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i)) into (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))
* [misc]taylor:  Taking taylor expansion of (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* alpha i))) (+ (* 7 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* alpha i))) (+ (* 3 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (* 1.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* alpha i))) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* alpha i)) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (* alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (* 0 i) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 i)) into i
* [misc]backup-simplify:  Simplify (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i) into (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)
* [misc]taylor:  Taking taylor expansion of (+ (* 7 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* alpha i))) (+ (* 3 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (* 1.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 7 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) in alpha
* [misc]taylor:  Taking taylor expansion of 7 in alpha
* [misc]backup-simplify:  Simplify 7 into 7
* [misc]taylor:  Taking taylor expansion of (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i) in alpha
* [misc]taylor:  Taking taylor expansion of (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ -1 i) 2 (/ -1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) 2 (/ -1 alpha))) into (sqr (fma (/ -1 i) 2 (/ -1 alpha)))
* [misc]backup-simplify:  Simplify (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) into (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i) into (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)
* [misc]taylor:  Taking taylor expansion of (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* alpha i))) (+ (* 3 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (* 1.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i)) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (sqr i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i)) into (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))
* [misc]taylor:  Taking taylor expansion of (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* alpha i))) (+ (* 3 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (* 1.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* alpha i))) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* alpha i)) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (* alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (* 0 i) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 i)) into i
* [misc]backup-simplify:  Simplify (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i) into (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)
* [misc]taylor:  Taking taylor expansion of (+ (* 3 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (* 1.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 3 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) in alpha
* [misc]taylor:  Taking taylor expansion of 3 in alpha
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i) in alpha
* [misc]taylor:  Taking taylor expansion of (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ -1 i) 2 (/ -1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) 2 (/ -1 alpha))) into (sqr (fma (/ -1 i) 2 (/ -1 alpha)))
* [misc]backup-simplify:  Simplify (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) into (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i) into (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)
* [misc]taylor:  Taking taylor expansion of (* 1.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) in alpha
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)
* [misc]backup-simplify:  Simplify (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) into (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i))
* [misc]backup-simplify:  Simplify (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) into (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i))
* [misc]backup-simplify:  Simplify (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) 0) into (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i))
* [misc]backup-simplify:  Simplify (+ 0 (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i))) into (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i))
* [misc]backup-simplify:  Simplify (+ 0 (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i))) into (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i))
* [misc]backup-simplify:  Simplify (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i))) into (* 4 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i))
* [misc]backup-simplify:  Simplify (+ 0 (* 4 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i))) into (* 4 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i))
* [misc]taylor:  Taking taylor expansion of (* 4 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i) in i
* [misc]taylor:  Taking taylor expansion of (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) 1) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) into (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i))
* [misc]backup-simplify:  Simplify (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) into (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i))
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (* 0 i))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 i) (+ (* (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i) (/ 0 i)))) into 0
* [misc]backup-simplify:  Simplify (+ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i)) 0) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr i))
* [misc]backup-simplify:  Simplify (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr i))) into (+ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i)) (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)))
* [misc]backup-simplify:  Simplify (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (+ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i)) (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)))) into (+ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr i)) (* 4 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)))
* [misc]taylor:  Taking taylor expansion of (+ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr i)) (* 4 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i))) in i
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr i)) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (sqr i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 1) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (* 4 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i) in i
* [misc]taylor:  Taking taylor expansion of (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) 1) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (+ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 0) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (- (/ 0 i) (+ (* (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i) (/ 0 i)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (+ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* (/ 1 (/ 1 (- i))) (* 1 (pow (/ 1 (- beta)) 3)))) (+ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* (/ 1 (/ 1 (- i))) (* (/ 1 (/ 1 (- alpha))) (pow (/ 1 (- beta)) 4)))) (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr (* (/ 1 (/ 1 (- i))) (* 1 (sqr (/ 1 (- beta))))))))) into (+ (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i)) (pow beta 4)) (+ (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i) (pow beta 3)) (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* alpha i)) (pow beta 4))))
* [misc]approximate:  Taking taylor expansion of (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) in (beta alpha i) around 0
* [misc]taylor:  Taking taylor expansion of (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) in i
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (+ (+ beta alpha) i) in i
* [misc]taylor:  Taking taylor expansion of (+ beta alpha) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ beta alpha) into (+ beta alpha)
* [misc]backup-simplify:  Simplify (+ (+ beta alpha) 0) into (+ beta alpha)
* [misc]backup-simplify:  Simplify (+ beta (fma i 2 alpha)) into (+ beta (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (/ (+ beta alpha) (+ beta (fma i 2 alpha))) into (/ (+ beta alpha) (+ beta (fma i 2 alpha)))
* [misc]taylor:  Taking taylor expansion of (fma i (+ (+ beta alpha) i) (* alpha beta)) in i
* [misc]backup-simplify:  Simplify (fma i (+ (+ beta alpha) i) (* alpha beta)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (/ i (+ beta (fma i 2 alpha))) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ beta (fma i 2 alpha)) into (+ beta (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (/ 1 (+ beta (fma i 2 alpha))) into (/ 1 (+ beta (fma i 2 alpha)))
* [misc]taylor:  Taking taylor expansion of (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ beta alpha) i) in alpha
* [misc]taylor:  Taking taylor expansion of (+ beta alpha) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (+ beta i) into (+ beta i)
* [misc]backup-simplify:  Simplify (+ beta (fma i 2 alpha)) into (+ beta (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (/ (+ beta i) (+ beta (fma i 2 alpha))) into (/ (+ beta i) (+ beta (fma i 2 alpha)))
* [misc]taylor:  Taking taylor expansion of (fma i (+ (+ beta alpha) i) (* alpha beta)) in alpha
* [misc]backup-simplify:  Simplify (fma i (+ (+ beta alpha) i) (* alpha beta)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (/ i (+ beta (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ beta (fma i 2 alpha)) into (+ beta (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (/ i (+ beta (fma i 2 alpha))) into (/ i (+ beta (fma i 2 alpha)))
* [misc]taylor:  Taking taylor expansion of (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ beta alpha) i) in beta
* [misc]taylor:  Taking taylor expansion of (+ beta alpha) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in beta
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ 0 alpha) into alpha
* [misc]backup-simplify:  Simplify (+ alpha i) into (+ alpha i)
* [misc]backup-simplify:  Simplify (+ 0 (fma i 2 alpha)) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (/ (+ alpha i) (fma i 2 alpha)) into (/ (+ alpha i) (fma i 2 alpha))
* [misc]taylor:  Taking taylor expansion of (fma i (+ (+ beta alpha) i) (* alpha beta)) in beta
* [misc]backup-simplify:  Simplify (fma i (+ (+ beta alpha) i) (* alpha beta)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (/ i (+ beta (fma i 2 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in beta
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ 0 (fma i 2 alpha)) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (/ i (fma i 2 alpha)) into (/ i (fma i 2 alpha))
* [misc]taylor:  Taking taylor expansion of (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ beta alpha) i) in beta
* [misc]taylor:  Taking taylor expansion of (+ beta alpha) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in beta
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ 0 alpha) into alpha
* [misc]backup-simplify:  Simplify (+ alpha i) into (+ alpha i)
* [misc]backup-simplify:  Simplify (+ 0 (fma i 2 alpha)) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (/ (+ alpha i) (fma i 2 alpha)) into (/ (+ alpha i) (fma i 2 alpha))
* [misc]taylor:  Taking taylor expansion of (fma i (+ (+ beta alpha) i) (* alpha beta)) in beta
* [misc]backup-simplify:  Simplify (fma i (+ (+ beta alpha) i) (* alpha beta)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (/ i (+ beta (fma i 2 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in beta
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ 0 (fma i 2 alpha)) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (/ i (fma i 2 alpha)) into (/ i (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* (/ (+ alpha i) (fma i 2 alpha)) (fma i (+ beta (+ alpha i)) (* beta alpha))) into (/ (* (+ alpha i) (fma i (+ beta (+ alpha i)) (* beta alpha))) (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* (/ (* (+ alpha i) (fma i (+ beta (+ alpha i)) (* beta alpha))) (fma i 2 alpha)) (/ i (fma i 2 alpha))) into (/ (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (sqr (fma i 2 alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (sqr (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ 0 i) into i
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) into (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)
* [misc]backup-simplify:  Simplify (* i (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) into (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (sqr (fma i 2 alpha))) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (sqr (fma i 2 alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (sqr (fma i 2 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) in i
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in i
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (sqr i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 1) (+ (* 0 0) (* 0 0))) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr (fma i 2 alpha))) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (- (/ 0 (fma i 2 alpha)) (+ (* (/ i (fma i 2 alpha)) (/ 1 (fma i 2 alpha))))) into (- (/ i (sqr (fma i 2 alpha))))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (- (/ 1 (fma i 2 alpha)) (+ (* (/ (+ alpha i) (fma i 2 alpha)) (/ 1 (fma i 2 alpha))))) into (- (/ 1 (fma i 2 alpha)) (+ (/ i (sqr (fma i 2 alpha))) (/ alpha (sqr (fma i 2 alpha)))))
* [misc]backup-simplify:  Simplify (+ (* (/ (+ alpha i) (fma i 2 alpha)) 0) (* (- (/ 1 (fma i 2 alpha)) (+ (/ i (sqr (fma i 2 alpha))) (/ alpha (sqr (fma i 2 alpha))))) (fma i (+ beta (+ alpha i)) (* beta alpha)))) into (- (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha)) (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) alpha) (sqr (fma i 2 alpha))) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha)))))
* [misc]backup-simplify:  Simplify (+ (* (/ (* (+ alpha i) (fma i (+ beta (+ alpha i)) (* beta alpha))) (fma i 2 alpha)) (- (/ i (sqr (fma i 2 alpha))))) (* (- (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha)) (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) alpha) (sqr (fma i 2 alpha))) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha))))) (/ i (fma i 2 alpha)))) into (- (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha))) (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (fma i 2 alpha) 3))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (pow (fma i 2 alpha) 3)))))
* [misc]taylor:  Taking taylor expansion of (- (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha))) (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (fma i 2 alpha) 3))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (pow (fma i 2 alpha) 3))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) into (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha))) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha)))
* [misc]taylor:  Taking taylor expansion of (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (fma i 2 alpha) 3))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (pow (fma i 2 alpha) 3)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (fma i 2 alpha) 3))) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (fma i 2 alpha) 3)) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (sqr i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (pow (fma i 2 alpha) 3) in alpha
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (fma i 2 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 3 (log (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of 3 in alpha
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (log (fma i 2 alpha)) into (log (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* 3 (log (fma i 2 alpha))) into (* 3 (log (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (fma i 2 alpha)))) into (pow (fma i 2 alpha) 3)
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) into (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i))
* [misc]backup-simplify:  Simplify (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (fma i 2 alpha) 3)) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (fma i 2 alpha) 3))
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (pow (fma i 2 alpha) 3))) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (pow (fma i 2 alpha) 3)) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (* alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (pow (fma i 2 alpha) 3) in alpha
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (fma i 2 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 3 (log (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of 3 in alpha
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (log (fma i 2 alpha)) into (log (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* 3 (log (fma i 2 alpha))) into (* 3 (log (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (fma i 2 alpha)))) into (pow (fma i 2 alpha) 3)
* [misc]backup-simplify:  Simplify (* 0 i) into 0
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 i)) into i
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* 0 0)) into (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)
* [misc]backup-simplify:  Simplify (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (pow (fma i 2 alpha) 3)) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (pow (fma i 2 alpha) 3))
* [misc]backup-simplify:  Simplify (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (fma i 2 alpha) 3))) into (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (fma i 2 alpha) 3)))
* [misc]backup-simplify:  Simplify (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (fma i 2 alpha) 3))) 0) into (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (fma i 2 alpha) 3)))
* [misc]backup-simplify:  Simplify (- (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (fma i 2 alpha) 3)))) into (- (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (fma i 2 alpha) 3))))
* [misc]backup-simplify:  Simplify (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha))) (- (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (fma i 2 alpha) 3))))) into (- (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (fma i 2 alpha) 3))))
* [misc]taylor:  Taking taylor expansion of (- (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (fma i 2 alpha) 3)))) in i
* [misc]taylor:  Taking taylor expansion of (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) in i
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in i
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 1) (* 0 0)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr (fma i 2 alpha))) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr (fma i 2 alpha)))
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (fma i 2 alpha) 3))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (fma i 2 alpha) 3)) in i
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) in i
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in i
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (sqr i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow (fma i 2 alpha) 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (fma i 2 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log (fma i 2 alpha))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (log (fma i 2 alpha)) into (log (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* 3 (log (fma i 2 alpha))) into (* 3 (log (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (fma i 2 alpha)))) into (pow (fma i 2 alpha) 3)
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 1) (+ (* 0 0) (* 0 0))) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]backup-simplify:  Simplify (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (pow (fma i 2 alpha) 3)) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (pow (fma i 2 alpha) 3))
* [misc]backup-simplify:  Simplify (+ (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr (fma i 2 alpha))) 0) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr (fma i 2 alpha))) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) (* 0 i)) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ (* i 0) (* 1 (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i))) into (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 0) (* 0 (fma i 2 alpha))) into 0
* [misc]backup-simplify:  Simplify (- (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha))) (+ (* (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (sqr (fma i 2 alpha))) (/ 0 (sqr (fma i 2 alpha)))))) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) in i
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in i
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 1) (* 0 0)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr (fma i 2 alpha))) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr (fma i 2 alpha))) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr (fma i 2 alpha))) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (+ (* (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr (fma i 2 alpha))) (sqr (* i (* 1 1)))) (+ (* (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr (fma i 2 alpha))) (* i (* alpha 1))) (* (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr (fma i 2 alpha))) (* i (* 1 beta))))) into (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* beta i)) (sqr (fma i 2 alpha))) (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (sqr (fma i 2 alpha))) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (sqr (fma i 2 alpha)))))
* [misc]approximate:  Taking taylor expansion of (* (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) in (beta alpha i) around 0
* [misc]taylor:  Taking taylor expansion of (* (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) in i
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) in i
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (/ 1 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) into (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) into (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) into (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) into (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (* (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (/ 1 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) into (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) into (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) into (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) into (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))
* [misc]taylor:  Taking taylor expansion of (* (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (/ 1 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (/ 1 i) 1) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (* (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (/ 1 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (/ 1 i) 1) into (/ 1 i)
* [misc]backup-simplify:  Simplify (* 1 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (/ 1 i)) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (fma (/ 1 i) 2 (/ 1 alpha))) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (/ 1 i) (/ (fma (/ 1 i) 2 (/ 1 alpha)) 1)))) into (- (/ (fma (/ 1 i) 2 (/ 1 alpha)) i))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 alpha)) into (/ 1 alpha)
* [misc]backup-simplify:  Simplify (+ (/ 1 alpha) (/ 1 i)) into (+ (/ 1 i) (/ 1 alpha))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (fma (/ 1 i) 2 (/ 1 alpha))) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (- (/ (+ (/ 1 i) (/ 1 alpha)) 1) (+ (* 1 (/ (fma (/ 1 i) 2 (/ 1 alpha)) 1)))) into (- (+ (/ 1 i) (/ 1 alpha)) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* (- (+ (/ 1 i) (/ 1 alpha)) (fma (/ 1 i) 2 (/ 1 alpha))) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))) into (- (+ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) alpha)) (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (+ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (- (/ (fma (/ 1 i) 2 (/ 1 alpha)) i))) (* (- (+ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) alpha)) (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))) (/ 1 i))) into (- (+ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i))) (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))
* [misc]taylor:  Taking taylor expansion of (- (+ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i))) (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (sqr i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i))
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (* alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* 0 i) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 i)) into i
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) into (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i) into (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)
* [misc]backup-simplify:  Simplify (+ 0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)
* [misc]backup-simplify:  Simplify (+ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) 0) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 1) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 1) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 i) (/ 0 i)) (* 0 (/ 0 i)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (/ 1 i) (/ 0 1)) (* (- (/ (fma (/ 1 i) 2 (/ 1 alpha)) i)) (/ (fma (/ 1 i) 2 (/ 1 alpha)) 1)))) into (/ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) i)
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (- (+ (/ 1 i) (/ 1 alpha)) (fma (/ 1 i) 2 (/ 1 alpha))) (/ (fma (/ 1 i) 2 (/ 1 alpha)) 1)))) into (- (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (+ (/ (fma (/ 1 i) 2 (/ 1 alpha)) i) (/ (fma (/ 1 i) 2 (/ 1 alpha)) alpha)))
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* (- (+ (/ 1 i) (/ 1 alpha)) (fma (/ 1 i) 2 (/ 1 alpha))) 0) (* (- (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (+ (/ (fma (/ 1 i) 2 (/ 1 alpha)) i) (/ (fma (/ 1 i) 2 (/ 1 alpha)) alpha))) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))))) into (- (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (+ (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) alpha) (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))
* [misc]backup-simplify:  Simplify (+ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (/ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) i)) (+ (* (- (+ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) alpha)) (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))) (- (/ (fma (/ 1 i) 2 (/ 1 alpha)) i))) (* (- (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (+ (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) alpha) (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i))) (/ 1 i)))) into (- (* 3 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)) (+ (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (* alpha i)))))
* [misc]taylor:  Taking taylor expansion of (- (* 3 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)) (+ (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (* alpha i))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 3 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)) in alpha
* [misc]taylor:  Taking taylor expansion of 3 in alpha
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ 1 i) 2 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 i) 2 (/ 1 alpha))) into (sqr (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) into (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i) into (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)
* [misc]taylor:  Taking taylor expansion of (+ (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (* alpha i)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i)) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (sqr i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) into (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i)) into (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (* alpha i))) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (* alpha i)) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (* alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) into (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* 0 i) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 i)) into i
* [misc]backup-simplify:  Simplify (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i) into (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)
* [misc]backup-simplify:  Simplify (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)) into (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i))
* [misc]backup-simplify:  Simplify (+ 0 (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i))) into (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i))
* [misc]backup-simplify:  Simplify (- (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i))) into (- (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))
* [misc]backup-simplify:  Simplify (+ 0 (- (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))) into (- (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))
* [misc]taylor:  Taking taylor expansion of (- (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i) in i
* [misc]taylor:  Taking taylor expansion of (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) into (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) 1) into (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (* 0 i))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 i) (+ (* (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) (/ 0 i)))) into 0
* [misc]backup-simplify:  Simplify (+ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) 0) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i))
* [misc]backup-simplify:  Simplify (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)) into (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i))
* [misc]backup-simplify:  Simplify (- (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i))) into (- (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))
* [misc]backup-simplify:  Simplify (+ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) (- (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))) into (- (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))
* [misc]taylor:  Taking taylor expansion of (- (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i))) in i
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (sqr i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 1) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i) in i
* [misc]taylor:  Taking taylor expansion of (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) into (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) 1) into (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (+ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 0) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (- (/ 0 i) (+ (* (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) (/ 0 i)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (+ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (/ 1 (/ 1 i)) (* 1 (/ 1 beta)))) (+ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (/ 1 (/ 1 i)) (* (/ 1 (/ 1 alpha)) (sqr (/ 1 beta))))) (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (* (/ 1 (/ 1 i)) (* 1 (/ 1 beta))))))) into (+ (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) beta) (+ (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i)) (sqr beta)) (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) (sqr beta))))
* [misc]approximate:  Taking taylor expansion of (* (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) in (beta alpha i) around 0
* [misc]taylor:  Taking taylor expansion of (* (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) in i
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) in i
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) in i
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (/ 1 (- alpha))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in i
* [misc]taylor:  Taking taylor expansion of (- beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in i
* [misc]taylor:  Taking taylor expansion of (- alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in i
* [misc]taylor:  Taking taylor expansion of (- i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in i
* [misc]taylor:  Taking taylor expansion of (- beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (+ (/ -1 beta) (fma (/ -1 i) 2 (/ -1 alpha))) into (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))
* [misc]backup-simplify:  Simplify (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) into (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in i
* [misc]taylor:  Taking taylor expansion of (- i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in i
* [misc]taylor:  Taking taylor expansion of (- beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (+ (/ -1 beta) (fma (/ -1 i) 2 (/ -1 alpha))) into (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))
* [misc]backup-simplify:  Simplify (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) into (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))
* [misc]taylor:  Taking taylor expansion of (* (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (/ 1 (- alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (- alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in alpha
* [misc]taylor:  Taking taylor expansion of (- i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (+ (/ -1 beta) (fma (/ -1 i) 2 (/ -1 alpha))) into (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))
* [misc]backup-simplify:  Simplify (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) into (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in alpha
* [misc]taylor:  Taking taylor expansion of (- i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (+ (/ -1 beta) (fma (/ -1 i) 2 (/ -1 alpha))) into (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))
* [misc]backup-simplify:  Simplify (/ (/ -1 i) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) into (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))
* [misc]taylor:  Taking taylor expansion of (* (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) in beta
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (/ 1 (- alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in beta
* [misc]taylor:  Taking taylor expansion of (- i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (/ -1 -1) into 1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in beta
* [misc]taylor:  Taking taylor expansion of (- i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (/ (/ -1 i) -1) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (* (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) in beta
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (/ 1 (- alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in beta
* [misc]taylor:  Taking taylor expansion of (- i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (/ -1 -1) into 1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in beta
* [misc]taylor:  Taking taylor expansion of (- i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (/ (/ -1 i) -1) into (/ 1 i)
* [misc]backup-simplify:  Simplify (* 1 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (/ 1 i)) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 i) (/ 0 (- i))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (fma (/ -1 i) 2 (/ -1 alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (- (/ 0 -1) (+ (* (/ 1 i) (/ (fma (/ -1 i) 2 (/ -1 alpha)) -1)))) into (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (/ -1 alpha)) into (- (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (- (/ 1 alpha)) (/ -1 i)) into (- (+ (/ 1 i) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (fma (/ -1 i) 2 (/ -1 alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (- (/ (- (+ (/ 1 i) (/ 1 alpha))) -1) (+ (* 1 (/ (fma (/ -1 i) 2 (/ -1 alpha)) -1)))) into (+ (fma (/ -1 i) 2 (/ -1 alpha)) (+ (/ 1 alpha) (/ 1 i)))
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* (+ (fma (/ -1 i) 2 (/ -1 alpha)) (+ (/ 1 alpha) (/ 1 i))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) into (+ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (+ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) alpha)))
* [misc]backup-simplify:  Simplify (+ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)) (* (+ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (+ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) alpha))) (/ 1 i))) into (+ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr i)) (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* alpha i))))
* [misc]taylor:  Taking taylor expansion of (+ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr i)) (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* alpha i)))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr i)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (sqr i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i)) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr i))
* [misc]taylor:  Taking taylor expansion of (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* alpha i))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i) into (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* alpha i)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (* alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* 0 i) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 i)) into i
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)
* [misc]backup-simplify:  Simplify (+ 0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)
* [misc]backup-simplify:  Simplify (+ 0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 1) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 1) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 i) (/ 0 (- i))) (* 0 (/ 0 (- i))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 -1) (+ (* (/ 1 i) (/ 0 -1)) (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) i) (/ (fma (/ -1 i) 2 (/ -1 alpha)) -1)))) into (/ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) i)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 alpha) (/ 0 (- alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 i) (/ 0 (- i))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 -1) (+ (* 1 (/ 0 -1)) (* (+ (fma (/ -1 i) 2 (/ -1 alpha)) (+ (/ 1 alpha) (/ 1 i))) (/ (fma (/ -1 i) 2 (/ -1 alpha)) -1)))) into (+ (/ (fma (/ -1 i) 2 (/ -1 alpha)) i) (+ (/ (fma (/ -1 i) 2 (/ -1 alpha)) alpha) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))))
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* (+ (fma (/ -1 i) 2 (/ -1 alpha)) (+ (/ 1 alpha) (/ 1 i))) 0) (* (+ (/ (fma (/ -1 i) 2 (/ -1 alpha)) i) (+ (/ (fma (/ -1 i) 2 (/ -1 alpha)) alpha) (sqr (fma (/ -1 i) 2 (/ -1 alpha))))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) into (+ (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i) (+ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) alpha)))
* [misc]backup-simplify:  Simplify (+ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (/ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) i)) (+ (* (+ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (+ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) alpha))) (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)) (* (+ (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i) (+ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) alpha))) (/ 1 i)))) into (+ (* 3 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* alpha i))) (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i)))))
* [misc]taylor:  Taking taylor expansion of (+ (* 3 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* alpha i))) (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 3 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) in alpha
* [misc]taylor:  Taking taylor expansion of 3 in alpha
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i) in alpha
* [misc]taylor:  Taking taylor expansion of (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ -1 i) 2 (/ -1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) 2 (/ -1 alpha))) into (sqr (fma (/ -1 i) 2 (/ -1 alpha)))
* [misc]backup-simplify:  Simplify (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) into (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i) into (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)
* [misc]taylor:  Taking taylor expansion of (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* alpha i))) (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* alpha i))) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* alpha i)) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (* alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (* 0 i) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 i)) into i
* [misc]backup-simplify:  Simplify (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i) into (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i)) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (sqr i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i)) into (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))
* [misc]backup-simplify:  Simplify (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) into (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i))
* [misc]backup-simplify:  Simplify (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) 0) into (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i))
* [misc]backup-simplify:  Simplify (+ 0 (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i))) into (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i))
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i) in i
* [misc]taylor:  Taking taylor expansion of (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) 1) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) into (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i))
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (* 0 i))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 i) (+ (* (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i) (/ 0 i)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) 0) into (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i))
* [misc]backup-simplify:  Simplify (+ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr i)) (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i))) into (+ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i)) (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)))
* [misc]taylor:  Taking taylor expansion of (+ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i)) (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i))) in i
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i)) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (sqr i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 1) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i) in i
* [misc]taylor:  Taking taylor expansion of (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) 1) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (+ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 0) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (- (/ 0 i) (+ (* (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i) (/ 0 i)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (+ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* (/ 1 (/ 1 (- i))) (* 1 (/ 1 (- beta))))) (+ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* (/ 1 (/ 1 (- i))) (* (/ 1 (/ 1 (- alpha))) (sqr (/ 1 (- beta)))))) (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr (* (/ 1 (/ 1 (- i))) (* 1 (/ 1 (- beta)))))))) into (+ (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i) beta) (+ (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr i)) (sqr beta)) (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* alpha i)) (sqr beta))))
* [misc]approximate:  Taking taylor expansion of (cbrt (/ (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0))) in (beta alpha i) around 0
* [misc]taylor:  Taking taylor expansion of (cbrt (/ (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0))) in i
* [misc]backup-simplify:  Simplify (cbrt (/ (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0))) into (cbrt (/ (* (+ beta (+ alpha i)) (* i (fma i (+ beta (+ alpha i)) (* beta alpha)))) (* (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0) (sqr (+ beta (fma i 2 alpha))))))
* [misc]taylor:  Taking taylor expansion of (cbrt (/ (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0))) in alpha
* [misc]backup-simplify:  Simplify (cbrt (/ (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0))) into (cbrt (/ (* (+ beta (+ alpha i)) (* i (fma i (+ beta (+ alpha i)) (* beta alpha)))) (* (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0) (sqr (+ beta (fma i 2 alpha))))))
* [misc]taylor:  Taking taylor expansion of (cbrt (/ (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0))) in beta
* [misc]backup-simplify:  Simplify (cbrt (/ (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0))) into (cbrt (/ (* (+ beta (+ alpha i)) (* i (fma i (+ beta (+ alpha i)) (* beta alpha)))) (* (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0) (sqr (+ beta (fma i 2 alpha))))))
* [misc]taylor:  Taking taylor expansion of (cbrt (/ (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0))) in beta
* [misc]backup-simplify:  Simplify (cbrt (/ (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0))) into (cbrt (/ (* (+ beta (+ alpha i)) (* i (fma i (+ beta (+ alpha i)) (* beta alpha)))) (* (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0) (sqr (+ beta (fma i 2 alpha))))))
* [misc]taylor:  Taking taylor expansion of (cbrt (/ (* (+ beta (+ alpha i)) (* i (fma i (+ beta (+ alpha i)) (* beta alpha)))) (* (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0) (sqr (+ beta (fma i 2 alpha)))))) in alpha
* [misc]backup-simplify:  Simplify (cbrt (/ (* (+ beta (+ alpha i)) (* i (fma i (+ beta (+ alpha i)) (* beta alpha)))) (* (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0) (sqr (+ beta (fma i 2 alpha)))))) into (cbrt (/ (* (+ beta (+ alpha i)) (* i (fma i (+ beta (+ alpha i)) (* beta alpha)))) (* (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0) (sqr (+ beta (fma i 2 alpha))))))
* [misc]taylor:  Taking taylor expansion of (cbrt (/ (* (+ beta (+ alpha i)) (* i (fma i (+ beta (+ alpha i)) (* beta alpha)))) (* (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0) (sqr (+ beta (fma i 2 alpha)))))) in i
* [misc]backup-simplify:  Simplify (cbrt (/ (* (+ beta (+ alpha i)) (* i (fma i (+ beta (+ alpha i)) (* beta alpha)))) (* (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0) (sqr (+ beta (fma i 2 alpha)))))) into (cbrt (/ (* (+ beta (+ alpha i)) (* i (fma i (+ beta (+ alpha i)) (* beta alpha)))) (* (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0) (sqr (+ beta (fma i 2 alpha))))))
* [misc]backup-simplify:  Simplify (cbrt (/ (* (+ beta (+ alpha i)) (* i (fma i (+ beta (+ alpha i)) (* beta alpha)))) (* (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0) (sqr (+ beta (fma i 2 alpha)))))) into (cbrt (/ (* (+ beta (+ alpha i)) (* i (fma i (+ beta (+ alpha i)) (* beta alpha)))) (* (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0) (sqr (+ beta (fma i 2 alpha))))))
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (cbrt (/ (* (+ beta (+ alpha i)) (* i (fma i (+ beta (+ alpha i)) (* beta alpha)))) (* (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0) (sqr (+ beta (fma i 2 alpha)))))) into (cbrt (/ (* (+ beta (+ alpha i)) (* i (fma i (+ beta (+ alpha i)) (* beta alpha)))) (* (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0) (sqr (+ beta (fma i 2 alpha))))))
* [misc]approximate:  Taking taylor expansion of (cbrt (/ (* (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (- (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0))) in (beta alpha i) around 0
* [misc]taylor:  Taking taylor expansion of (cbrt (/ (* (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (- (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0))) in i
* [misc]backup-simplify:  Simplify (cbrt (/ (* (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (- (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0))) into (cbrt (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i))))
* [misc]taylor:  Taking taylor expansion of (cbrt (/ (* (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (- (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0))) in alpha
* [misc]backup-simplify:  Simplify (cbrt (/ (* (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (- (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0))) into (cbrt (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i))))
* [misc]taylor:  Taking taylor expansion of (cbrt (/ (* (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (- (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0))) in beta
* [misc]backup-simplify:  Simplify (cbrt (/ (* (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (- (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0))) into (cbrt (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i))))
* [misc]taylor:  Taking taylor expansion of (cbrt (/ (* (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (- (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0))) in beta
* [misc]backup-simplify:  Simplify (cbrt (/ (* (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (- (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0))) into (cbrt (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i))))
* [misc]taylor:  Taking taylor expansion of (cbrt (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i)))) in alpha
* [misc]backup-simplify:  Simplify (cbrt (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i)))) into (cbrt (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* i (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0)))))
* [misc]taylor:  Taking taylor expansion of (cbrt (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* i (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0))))) in i
* [misc]backup-simplify:  Simplify (cbrt (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* i (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0))))) into (cbrt (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i))))
* [misc]backup-simplify:  Simplify (cbrt (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i)))) into (cbrt (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* i (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0)))))
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (cbrt (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* i (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0))))) into (cbrt (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i))))
* [misc]approximate:  Taking taylor expansion of (cbrt (/ (* (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) (- (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) 1.0))) in (beta alpha i) around 0
* [misc]taylor:  Taking taylor expansion of (cbrt (/ (* (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) (- (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) 1.0))) in i
* [misc]backup-simplify:  Simplify (cbrt (/ (* (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) (- (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) 1.0))) into (cbrt (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* i (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0))))))
* [misc]taylor:  Taking taylor expansion of (cbrt (/ (* (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) (- (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) 1.0))) in alpha
* [misc]backup-simplify:  Simplify (cbrt (/ (* (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) (- (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) 1.0))) into (cbrt (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* i (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0))))))
* [misc]taylor:  Taking taylor expansion of (cbrt (/ (* (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) (- (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) 1.0))) in beta
* [misc]backup-simplify:  Simplify (cbrt (/ (* (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) (- (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) 1.0))) into (cbrt (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* i (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0))))))
* [misc]taylor:  Taking taylor expansion of (cbrt (/ (* (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) (- (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) 1.0))) in beta
* [misc]backup-simplify:  Simplify (cbrt (/ (* (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) (- (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) 1.0))) into (cbrt (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* i (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0))))))
* [misc]taylor:  Taking taylor expansion of (cbrt (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* i (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0)))))) in alpha
* [misc]backup-simplify:  Simplify (cbrt (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* i (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0)))))) into (cbrt (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* i (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0))))))
* [misc]taylor:  Taking taylor expansion of (cbrt (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* i (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0)))))) in i
* [misc]backup-simplify:  Simplify (cbrt (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* i (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0)))))) into (cbrt (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* i (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0))))))
* [misc]backup-simplify:  Simplify (cbrt (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* i (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0)))))) into (cbrt (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* i (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0))))))
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (cbrt (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* i (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0)))))) into (cbrt (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* i (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0))))))
* [misc]approximate:  Taking taylor expansion of (cube (cbrt (/ (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))) in (beta alpha i) around 0
* [misc]taylor:  Taking taylor expansion of (cube (cbrt (/ (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))) in i
* [misc]backup-simplify:  Simplify (cube (cbrt (/ (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))) into (/ (* (+ beta (+ alpha i)) (* i (fma i (+ beta (+ alpha i)) (* beta alpha)))) (* (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0) (sqr (+ beta (fma i 2 alpha)))))
* [misc]taylor:  Taking taylor expansion of (cube (cbrt (/ (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))) in alpha
* [misc]backup-simplify:  Simplify (cube (cbrt (/ (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))) into (/ (* (+ beta (+ alpha i)) (* i (fma i (+ beta (+ alpha i)) (* beta alpha)))) (* (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0) (sqr (+ beta (fma i 2 alpha)))))
* [misc]taylor:  Taking taylor expansion of (cube (cbrt (/ (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))) in beta
* [misc]backup-simplify:  Simplify (cube (cbrt (/ (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))) into (/ (* (+ beta (+ alpha i)) (* i (fma i (+ beta (+ alpha i)) (* beta alpha)))) (* (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0) (sqr (+ beta (fma i 2 alpha)))))
* [misc]taylor:  Taking taylor expansion of (cube (cbrt (/ (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))) in beta
* [misc]backup-simplify:  Simplify (cube (cbrt (/ (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))) into (/ (* (+ beta (+ alpha i)) (* i (fma i (+ beta (+ alpha i)) (* beta alpha)))) (* (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0) (sqr (+ beta (fma i 2 alpha)))))
* [misc]taylor:  Taking taylor expansion of (/ (* (+ beta (+ alpha i)) (* i (fma i (+ beta (+ alpha i)) (* beta alpha)))) (* (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0) (sqr (+ beta (fma i 2 alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (+ beta (+ alpha i)) (* i (fma i (+ beta (+ alpha i)) (* beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ beta (+ alpha i)) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (* i (fma i (+ beta (+ alpha i)) (* beta alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (* (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0) (sqr (+ beta (fma i 2 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 2 (* beta (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (* beta (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (+ (sqr (fma i 2 alpha)) (sqr beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (sqr beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (sqr (+ beta (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ 0 i) into i
* [misc]backup-simplify:  Simplify (+ beta i) into (+ beta i)
* [misc]backup-simplify:  Simplify (* i (fma i (+ beta (+ alpha i)) (* beta alpha))) into (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)
* [misc]backup-simplify:  Simplify (* (+ beta i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) into (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* i (+ beta i)))
* [misc]backup-simplify:  Simplify (* beta (fma i 2 alpha)) into (* beta (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* 2 (* beta (fma i 2 alpha))) into (* 2 (* beta (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* beta beta) into (sqr beta)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (sqr beta)) into (+ (sqr (fma i 2 alpha)) (sqr beta))
* [misc]backup-simplify:  Simplify (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) into (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta)))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) (- 1.0)) into (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0)
* [misc]backup-simplify:  Simplify (+ beta (fma i 2 alpha)) into (+ beta (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* (+ beta (fma i 2 alpha)) (+ beta (fma i 2 alpha))) into (sqr (+ beta (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (* (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0) (sqr (+ beta (fma i 2 alpha)))) into (* (sqr (+ beta (fma i 2 alpha))) (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0))
* [misc]backup-simplify:  Simplify (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* i (+ beta i))) (* (sqr (+ beta (fma i 2 alpha))) (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0))) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* i (+ beta i))) (* (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0) (sqr (+ beta (fma i 2 alpha)))))
* [misc]taylor:  Taking taylor expansion of (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* i (+ beta i))) (* (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0) (sqr (+ beta (fma i 2 alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* i (+ beta i))) in i
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in i
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (* i (+ beta i)) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ beta i) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0) (sqr (+ beta (fma i 2 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (* beta (fma i 2 alpha))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (* beta (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (+ (sqr (fma i 2 alpha)) (sqr beta)) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (sqr beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (sqr (+ beta (fma i 2 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (* 0 beta) into 0
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 beta)) into beta
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) beta) (* 0 0)) into (* (fma i (+ beta (+ alpha i)) (* beta alpha)) beta)
* [misc]backup-simplify:  Simplify (* beta (fma i 2 alpha)) into (* beta (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* 2 (* beta (fma i 2 alpha))) into (* 2 (* beta (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* beta beta) into (sqr beta)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (sqr beta)) into (+ (sqr (fma i 2 alpha)) (sqr beta))
* [misc]backup-simplify:  Simplify (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) into (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta)))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) (- 1.0)) into (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0)
* [misc]backup-simplify:  Simplify (+ beta (fma i 2 alpha)) into (+ beta (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* (+ beta (fma i 2 alpha)) (+ beta (fma i 2 alpha))) into (sqr (+ beta (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (* (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0) (sqr (+ beta (fma i 2 alpha)))) into (* (sqr (+ beta (fma i 2 alpha))) (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0))
* [misc]backup-simplify:  Simplify (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) beta) (* (sqr (+ beta (fma i 2 alpha))) (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0))) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) beta) (* (sqr (+ beta (fma i 2 alpha))) (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0)))
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* i 0) (* 0 (fma i (+ beta (+ alpha i)) (* beta alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ (* (+ beta i) 0) (* 1 (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i))) into (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ beta (fma i 2 alpha)) 0) (* 0 (+ beta (fma i 2 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 0) (* 0 (fma i 2 alpha))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (* beta (fma i 2 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 0) (* 0 (fma i 2 alpha))) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 0) (* 0 beta)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0) 0) (* 0 (sqr (+ beta (fma i 2 alpha))))) into 0
* [misc]backup-simplify:  Simplify (- (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (sqr (+ beta (fma i 2 alpha))) (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0))) (+ (* (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* i (+ beta i))) (* (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0) (sqr (+ beta (fma i 2 alpha))))) (/ 0 (* (sqr (+ beta (fma i 2 alpha))) (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0)))))) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0) (sqr (+ beta (fma i 2 alpha)))))
* [misc]taylor:  Taking taylor expansion of (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0) (sqr (+ beta (fma i 2 alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) in i
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in i
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0) (sqr (+ beta (fma i 2 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (* beta (fma i 2 alpha))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (* beta (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (+ (sqr (fma i 2 alpha)) (sqr beta)) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (sqr beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (sqr (+ beta (fma i 2 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 1) (* 0 0)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]backup-simplify:  Simplify (* beta (fma i 2 alpha)) into (* beta (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* 2 (* beta (fma i 2 alpha))) into (* 2 (* beta (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* beta beta) into (sqr beta)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (sqr beta)) into (+ (sqr (fma i 2 alpha)) (sqr beta))
* [misc]backup-simplify:  Simplify (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) into (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta)))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) (- 1.0)) into (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0)
* [misc]backup-simplify:  Simplify (+ beta (fma i 2 alpha)) into (+ beta (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* (+ beta (fma i 2 alpha)) (+ beta (fma i 2 alpha))) into (sqr (+ beta (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (* (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0) (sqr (+ beta (fma i 2 alpha)))) into (* (sqr (+ beta (fma i 2 alpha))) (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0))
* [misc]backup-simplify:  Simplify (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr (+ beta (fma i 2 alpha))) (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0))) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr (+ beta (fma i 2 alpha))) (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0)))
* [misc]backup-simplify:  Simplify (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) beta) (* (sqr (+ beta (fma i 2 alpha))) (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0))) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) beta) (* (sqr (+ beta (fma i 2 alpha))) (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0)))
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* i 0) (+ (* 0 0) (* 0 (fma i (+ beta (+ alpha i)) (* beta alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ beta i) 0) (+ (* 1 0) (* 0 (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ beta (fma i 2 alpha)) 0) (+ (* 0 0) (* 0 (+ beta (fma i 2 alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 0) (+ (* 0 0) (* 0 (fma i 2 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (* beta (fma i 2 alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 0) (+ (* 0 0) (* 0 (fma i 2 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 0) (+ (* 0 0) (* 0 beta))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0) 0) (+ (* 0 0) (* 0 (sqr (+ beta (fma i 2 alpha)))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* (sqr (+ beta (fma i 2 alpha))) (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0))) (+ (* (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* i (+ beta i))) (* (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0) (sqr (+ beta (fma i 2 alpha))))) (/ 0 (* (sqr (+ beta (fma i 2 alpha))) (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0)))) (* (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0) (sqr (+ beta (fma i 2 alpha))))) (/ 0 (* (sqr (+ beta (fma i 2 alpha))) (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0)))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr (+ beta (fma i 2 alpha))) (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0))) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr (+ beta (fma i 2 alpha))) (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0)))
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 beta))) into 1
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 1) (+ (* 0 beta) (* 0 0))) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ beta (fma i 2 alpha)) 0) (* 0 (+ beta (fma i 2 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 0) (* 0 (fma i 2 alpha))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (* beta (fma i 2 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 0) (* 0 (fma i 2 alpha))) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 0) (* 0 beta)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0) 0) (* 0 (sqr (+ beta (fma i 2 alpha))))) into 0
* [misc]backup-simplify:  Simplify (- (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr (+ beta (fma i 2 alpha))) (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0))) (+ (* (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) beta) (* (sqr (+ beta (fma i 2 alpha))) (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0))) (/ 0 (* (sqr (+ beta (fma i 2 alpha))) (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0)))))) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr (+ beta (fma i 2 alpha))) (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0)))
* [misc]backup-simplify:  Simplify (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr (+ beta (fma i 2 alpha))) (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0))) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr (+ beta (fma i 2 alpha))) (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0)))
* [misc]backup-simplify:  Simplify (+ (* (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr (+ beta (fma i 2 alpha))) (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0))) (sqr (* i (* 1 1)))) (+ (* (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr (+ beta (fma i 2 alpha))) (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0))) (* i (* alpha 1))) (* (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) beta) (* (sqr (+ beta (fma i 2 alpha))) (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0))) (* i (* 1 1))))) into (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* beta i)) (* (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0) (sqr (+ beta (fma i 2 alpha))))) (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0) (sqr (+ beta (fma i 2 alpha))))) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (* (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0) (sqr (+ beta (fma i 2 alpha)))))))
* [misc]approximate:  Taking taylor expansion of (cube (cbrt (/ (* (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (- (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0)))) in (beta alpha i) around 0
* [misc]taylor:  Taking taylor expansion of (cube (cbrt (/ (* (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (- (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0)))) in i
* [misc]backup-simplify:  Simplify (cube (cbrt (/ (* (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (- (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0)))) into (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i)))
* [misc]taylor:  Taking taylor expansion of (cube (cbrt (/ (* (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (- (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0)))) in alpha
* [misc]backup-simplify:  Simplify (cube (cbrt (/ (* (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (- (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0)))) into (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i)))
* [misc]taylor:  Taking taylor expansion of (cube (cbrt (/ (* (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (- (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0)))) in beta
* [misc]backup-simplify:  Simplify (cube (cbrt (/ (* (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (- (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0)))) into (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i)))
* [misc]taylor:  Taking taylor expansion of (cube (cbrt (/ (* (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (- (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0)))) in beta
* [misc]backup-simplify:  Simplify (cube (cbrt (/ (* (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (- (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0)))) into (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i)))
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 i) (/ 1 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (* (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i)) in alpha
* [misc]taylor:  Taking taylor expansion of (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqr beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (* beta beta) into (sqr beta)
* [misc]backup-simplify:  Simplify (/ 1 (sqr beta)) into (/ 1 (sqr beta))
* [misc]taylor:  Taking taylor expansion of (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ 1 i) 2 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta) into (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 1) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 i) 2 (/ 1 alpha))) into (sqr (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)) into (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta))
* [misc]backup-simplify:  Simplify (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta))) into (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))
* [misc]backup-simplify:  Simplify (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) into (+ (/ 1 (sqr beta)) (+ (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (+ (/ 1 (sqr beta)) (+ (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))) (- 1.0)) into (- (+ (/ 1 (sqr beta)) (+ (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))) 1.0)
* [misc]backup-simplify:  Simplify (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) into (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) into (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i) into (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i)
* [misc]backup-simplify:  Simplify (* (- (+ (/ 1 (sqr beta)) (+ (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))) 1.0) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i)) into (* (- (+ (/ 1 (sqr beta)) (+ (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))) 1.0) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i))
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (- (+ (/ 1 (sqr beta)) (+ (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))) 1.0) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i))) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (- (+ (/ 1 (sqr beta)) (+ (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))) 1.0) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i)))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (/ 1 i) 0) into (/ 1 i)
* [misc]backup-simplify:  Simplify (+ (/ 1 beta) (/ 1 i)) into (+ (/ 1 beta) (/ 1 i))
* [misc]backup-simplify:  Simplify (+ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (/ 1 i))) (* 0 1)) into (+ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) beta))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) 0) (* 0 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 0) (* 0 i)) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 0) (* 0 beta)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (sqr beta)) (/ 0 (sqr beta))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma (/ 1 i) 2 (/ 1 alpha)) 0) (* 0 (fma (/ 1 i) 2 (/ 1 alpha)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 beta) (+ (* (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta) (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (+ (/ 1 (sqr beta)) (+ (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))) 1.0) 0) (* 0 (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i))) into 0
* [misc]backup-simplify:  Simplify (- (/ (+ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) beta)) (* (- (+ (/ 1 (sqr beta)) (+ (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))) 1.0) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i))) (+ (* (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (- (+ (/ 1 (sqr beta)) (+ (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))) 1.0) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i))) (/ 0 (* (- (+ (/ 1 (sqr beta)) (+ (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))) 1.0) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i)))))) into (+ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* beta (* (- (+ (/ 1 (sqr beta)) (+ (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))) 1.0) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i)))) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (* (- (+ (/ 1 (sqr beta)) (+ (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))) 1.0) (sqr i)))))
* [misc]taylor:  Taking taylor expansion of (+ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* beta (* (- (+ (/ 1 (sqr beta)) (+ (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))) 1.0) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i)))) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (* (- (+ (/ 1 (sqr beta)) (+ (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))) 1.0) (sqr i))))) in i
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* beta (* (- (+ (/ 1 (sqr beta)) (+ (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))) 1.0) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i)))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (* beta (* (- (+ (/ 1 (sqr beta)) (+ (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))) 1.0) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i))) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* (- (+ (/ 1 (sqr beta)) (+ (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))) 1.0) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (/ 1 (sqr beta)) (+ (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (sqr beta)) (+ (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqr beta)) in i
* [misc]taylor:  Taking taylor expansion of (sqr beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (* beta beta) into (sqr beta)
* [misc]backup-simplify:  Simplify (/ 1 (sqr beta)) into (/ 1 (sqr beta))
* [misc]taylor:  Taking taylor expansion of (+ (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta) into (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ 1 i) 2 (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i) in i
* [misc]taylor:  Taking taylor expansion of (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)) into (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta))
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 i) 2 (/ 1 alpha))) into (sqr (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (+ (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) into (+ (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (+ (/ 1 (sqr beta)) (+ (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))) into (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta))))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) (- 1.0)) into (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0)
* [misc]backup-simplify:  Simplify (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) into (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) into (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 0) into 0
* [misc]backup-simplify:  Simplify (* (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0) 0) into 0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) 0) (* 0 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1) (* 0 0)) into (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta))))
* [misc]backup-simplify:  Simplify (+ (* beta 0) (* 0 beta)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (sqr beta)) (/ 0 (sqr beta))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 beta) (+ (* (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta) (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma (/ 1 i) 2 (/ 1 alpha)) 0) (* 0 (fma (/ 1 i) 2 (/ 1 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0) (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta))))) (* 0 0)) into (- (+ (pow (fma (/ 1 i) 2 (/ 1 alpha)) 4) (+ (* 6 (/ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (sqr beta))) (+ (* 4 (/ (pow (fma (/ 1 i) 2 (/ 1 alpha)) 3) beta)) (+ (/ 1 (pow beta 4)) (* 4 (/ (fma (/ 1 i) 2 (/ 1 alpha)) (pow beta 3))))))) (+ (* 1.0 (/ 1 (sqr beta))) (+ (* 2.0 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)) (* 1.0 (sqr (fma (/ 1 i) 2 (/ 1 alpha)))))))
* [misc]backup-simplify:  Simplify (+ (* beta (- (+ (pow (fma (/ 1 i) 2 (/ 1 alpha)) 4) (+ (* 6 (/ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (sqr beta))) (+ (* 4 (/ (pow (fma (/ 1 i) 2 (/ 1 alpha)) 3) beta)) (+ (/ 1 (pow beta 4)) (* 4 (/ (fma (/ 1 i) 2 (/ 1 alpha)) (pow beta 3))))))) (+ (* 1.0 (/ 1 (sqr beta))) (+ (* 2.0 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)) (* 1.0 (sqr (fma (/ 1 i) 2 (/ 1 alpha)))))))) (* 0 0)) into (- (+ (* 6 (/ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) beta)) (+ (/ 1 (pow beta 3)) (+ (* beta (pow (fma (/ 1 i) 2 (/ 1 alpha)) 4)) (+ (* 4 (/ (fma (/ 1 i) 2 (/ 1 alpha)) (sqr beta))) (* 4 (pow (fma (/ 1 i) 2 (/ 1 alpha)) 3)))))) (+ (* 1.0 (/ 1 beta)) (+ (* 1.0 (* beta (sqr (fma (/ 1 i) 2 (/ 1 alpha))))) (* 2.0 (fma (/ 1 i) 2 (/ 1 alpha))))))
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (- (+ (* 6 (/ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) beta)) (+ (/ 1 (pow beta 3)) (+ (* beta (pow (fma (/ 1 i) 2 (/ 1 alpha)) 4)) (+ (* 4 (/ (fma (/ 1 i) 2 (/ 1 alpha)) (sqr beta))) (* 4 (pow (fma (/ 1 i) 2 (/ 1 alpha)) 3)))))) (+ (* 1.0 (/ 1 beta)) (+ (* 1.0 (* beta (sqr (fma (/ 1 i) 2 (/ 1 alpha))))) (* 2.0 (fma (/ 1 i) 2 (/ 1 alpha))))))) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (- (+ (* 6 (/ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) beta)) (+ (/ 1 (pow beta 3)) (+ (* beta (pow (fma (/ 1 i) 2 (/ 1 alpha)) 4)) (+ (* 4 (/ (fma (/ 1 i) 2 (/ 1 alpha)) (sqr beta))) (* 4 (pow (fma (/ 1 i) 2 (/ 1 alpha)) 3)))))) (+ (* 1.0 (/ 1 beta)) (+ (* 1.0 (* beta (sqr (fma (/ 1 i) 2 (/ 1 alpha))))) (* 2.0 (fma (/ 1 i) 2 (/ 1 alpha)))))))
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (* (- (+ (/ 1 (sqr beta)) (+ (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))) 1.0) (sqr i)))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (* (- (+ (/ 1 (sqr beta)) (+ (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))) 1.0) (sqr i))) in i
* [misc]taylor:  Taking taylor expansion of (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (* (- (+ (/ 1 (sqr beta)) (+ (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))) 1.0) (sqr i)) in i
* [misc]taylor:  Taking taylor expansion of (- (+ (/ 1 (sqr beta)) (+ (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (sqr beta)) (+ (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqr beta)) in i
* [misc]taylor:  Taking taylor expansion of (sqr beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (* beta beta) into (sqr beta)
* [misc]backup-simplify:  Simplify (/ 1 (sqr beta)) into (/ 1 (sqr beta))
* [misc]taylor:  Taking taylor expansion of (+ (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta) into (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ 1 i) 2 (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (sqr i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) into (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) into (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)) into (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta))
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 i) 2 (/ 1 alpha))) into (sqr (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (+ (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) into (+ (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (+ (/ 1 (sqr beta)) (+ (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))) into (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta))))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) (- 1.0)) into (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0)
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0) 0) into 0
* [misc]backup-simplify:  Simplify (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 0) (* 0 beta)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (sqr beta)) (/ 0 (sqr beta))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 beta) (+ (* (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta) (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma (/ 1 i) 2 (/ 1 alpha)) 0) (* 0 (fma (/ 1 i) 2 (/ 1 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) 0) (* 0 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (+ (* beta 0) (+ (* 0 0) (* 0 beta))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (sqr beta)) (/ 0 (sqr beta))) (* 0 (/ 0 (sqr beta))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 beta) (+ (* (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta) (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma (/ 1 i) 2 (/ 1 alpha)) 0) (+ (* 0 0) (* 0 (fma (/ 1 i) 2 (/ 1 alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0) 1) (+ (* 0 0) (* 0 0))) into (- (+ (/ 1 (sqr beta)) (+ (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))) 1.0)
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) 0) (+ (* 0 0) (* 0 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (- (+ (/ 1 (sqr beta)) (+ (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))) 1.0)) (+ (* 0 0) (* 0 0))) into (- (+ (pow (fma (/ 1 i) 2 (/ 1 alpha)) 4) (+ (* 6 (/ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (sqr beta))) (+ (* 4 (/ (pow (fma (/ 1 i) 2 (/ 1 alpha)) 3) beta)) (+ (/ 1 (pow beta 4)) (* 4 (/ (fma (/ 1 i) 2 (/ 1 alpha)) (pow beta 3))))))) (+ (* 1.0 (/ 1 (sqr beta))) (+ (* 1.0 (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (* 2.0 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))))
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (- (+ (pow (fma (/ 1 i) 2 (/ 1 alpha)) 4) (+ (* 6 (/ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (sqr beta))) (+ (* 4 (/ (pow (fma (/ 1 i) 2 (/ 1 alpha)) 3) beta)) (+ (/ 1 (pow beta 4)) (* 4 (/ (fma (/ 1 i) 2 (/ 1 alpha)) (pow beta 3))))))) (+ (* 1.0 (/ 1 (sqr beta))) (+ (* 1.0 (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (* 2.0 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))))) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (- (+ (pow (fma (/ 1 i) 2 (/ 1 alpha)) 4) (+ (* 6 (/ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (sqr beta))) (+ (* 4 (/ (pow (fma (/ 1 i) 2 (/ 1 alpha)) 3) beta)) (+ (/ 1 (pow beta 4)) (* 4 (/ (fma (/ 1 i) 2 (/ 1 alpha)) (pow beta 3))))))) (+ (* 1.0 (/ 1 (sqr beta))) (+ (* 1.0 (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (* 2.0 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta))))))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) 0) (+ (* 0 0) (* 0 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 0) (+ (* 0 1) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 0) (+ (* 0 0) (* 0 beta))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (sqr beta)) (/ 0 (sqr beta))) (* 0 (/ 0 (sqr beta))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 beta) (+ (* (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta) (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma (/ 1 i) 2 (/ 1 alpha)) 0) (+ (* 0 0) (* 0 (fma (/ 1 i) 2 (/ 1 alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0) 0) (+ (* 0 (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta))))) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 0) (+ (* 0 (- (+ (pow (fma (/ 1 i) 2 (/ 1 alpha)) 4) (+ (* 6 (/ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (sqr beta))) (+ (* 4 (/ (pow (fma (/ 1 i) 2 (/ 1 alpha)) 3) beta)) (+ (/ 1 (pow beta 4)) (* 4 (/ (fma (/ 1 i) 2 (/ 1 alpha)) (pow beta 3))))))) (+ (* 1.0 (/ 1 (sqr beta))) (+ (* 2.0 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)) (* 1.0 (sqr (fma (/ 1 i) 2 (/ 1 alpha)))))))) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (- (+ (* 6 (/ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) beta)) (+ (/ 1 (pow beta 3)) (+ (* beta (pow (fma (/ 1 i) 2 (/ 1 alpha)) 4)) (+ (* 4 (/ (fma (/ 1 i) 2 (/ 1 alpha)) (sqr beta))) (* 4 (pow (fma (/ 1 i) 2 (/ 1 alpha)) 3)))))) (+ (* 1.0 (/ 1 beta)) (+ (* 1.0 (* beta (sqr (fma (/ 1 i) 2 (/ 1 alpha))))) (* 2.0 (fma (/ 1 i) 2 (/ 1 alpha))))))) (+ (* (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (- (+ (* 6 (/ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) beta)) (+ (/ 1 (pow beta 3)) (+ (* beta (pow (fma (/ 1 i) 2 (/ 1 alpha)) 4)) (+ (* 4 (/ (fma (/ 1 i) 2 (/ 1 alpha)) (sqr beta))) (* 4 (pow (fma (/ 1 i) 2 (/ 1 alpha)) 3)))))) (+ (* 1.0 (/ 1 beta)) (+ (* 1.0 (* beta (sqr (fma (/ 1 i) 2 (/ 1 alpha))))) (* 2.0 (fma (/ 1 i) 2 (/ 1 alpha))))))) (/ 0 (- (+ (* 6 (/ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) beta)) (+ (/ 1 (pow beta 3)) (+ (* beta (pow (fma (/ 1 i) 2 (/ 1 alpha)) 4)) (+ (* 4 (/ (fma (/ 1 i) 2 (/ 1 alpha)) (sqr beta))) (* 4 (pow (fma (/ 1 i) 2 (/ 1 alpha)) 3)))))) (+ (* 1.0 (/ 1 beta)) (+ (* 1.0 (* beta (sqr (fma (/ 1 i) 2 (/ 1 alpha))))) (* 2.0 (fma (/ 1 i) 2 (/ 1 alpha)))))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 0) (+ (* 0 0) (+ (* 0 0) (* 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (sqr beta)) (/ 0 (sqr beta))) (* 0 (/ 0 (sqr beta))) (* 0 (/ 0 (sqr beta))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 beta) (+ (* (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta) (/ 0 beta)) (* 0 (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma (/ 1 i) 2 (/ 1 alpha)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (fma (/ 1 i) 2 (/ 1 alpha)))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 beta))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (sqr beta)) (/ 0 (sqr beta))) (* 0 (/ 0 (sqr beta))) (* 0 (/ 0 (sqr beta))) (* 0 (/ 0 (sqr beta))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 beta) (+ (* (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta) (/ 0 beta)) (* 0 (/ 0 beta)) (* 0 (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma (/ 1 i) 2 (/ 1 alpha)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (fma (/ 1 i) 2 (/ 1 alpha))))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0) 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 0) (* 0 0))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0) 0) (+ (* 0 1) (+ (* 0 0) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)) (* 0 (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 0) (+ (* 0 0) (+ (* 0 (- (+ (/ 1 (sqr beta)) (+ (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))) 1.0)) (+ (* 0 0) (* 0 0))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 0) (+ (* 0 (- (+ (/ 1 (sqr beta)) (+ (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))) 1.0)) (+ (* 0 0) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (- (+ (pow (fma (/ 1 i) 2 (/ 1 alpha)) 4) (+ (* 6 (/ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (sqr beta))) (+ (* 4 (/ (pow (fma (/ 1 i) 2 (/ 1 alpha)) 3) beta)) (+ (/ 1 (pow beta 4)) (* 4 (/ (fma (/ 1 i) 2 (/ 1 alpha)) (pow beta 3))))))) (+ (* 1.0 (/ 1 (sqr beta))) (+ (* 1.0 (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (* 2.0 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))))) (+ (* (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (- (+ (pow (fma (/ 1 i) 2 (/ 1 alpha)) 4) (+ (* 6 (/ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (sqr beta))) (+ (* 4 (/ (pow (fma (/ 1 i) 2 (/ 1 alpha)) 3) beta)) (+ (/ 1 (pow beta 4)) (* 4 (/ (fma (/ 1 i) 2 (/ 1 alpha)) (pow beta 3))))))) (+ (* 1.0 (/ 1 (sqr beta))) (+ (* 1.0 (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (* 2.0 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))))) (/ 0 (- (+ (pow (fma (/ 1 i) 2 (/ 1 alpha)) 4) (+ (* 6 (/ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (sqr beta))) (+ (* 4 (/ (pow (fma (/ 1 i) 2 (/ 1 alpha)) 3) beta)) (+ (/ 1 (pow beta 4)) (* 4 (/ (fma (/ 1 i) 2 (/ 1 alpha)) (pow beta 3))))))) (+ (* 1.0 (/ 1 (sqr beta))) (+ (* 1.0 (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (* 2.0 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta))))))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (- (+ (pow (fma (/ 1 i) 2 (/ 1 alpha)) 4) (+ (* 6 (/ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (sqr beta))) (+ (* 4 (/ (pow (fma (/ 1 i) 2 (/ 1 alpha)) 3) beta)) (+ (/ 1 (pow beta 4)) (* 4 (/ (fma (/ 1 i) 2 (/ 1 alpha)) (pow beta 3))))))) (+ (* 1.0 (/ 1 (sqr beta))) (+ (* 1.0 (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (* 2.0 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))))) (+ (* (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (- (+ (pow (fma (/ 1 i) 2 (/ 1 alpha)) 4) (+ (* 6 (/ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (sqr beta))) (+ (* 4 (/ (pow (fma (/ 1 i) 2 (/ 1 alpha)) 3) beta)) (+ (/ 1 (pow beta 4)) (* 4 (/ (fma (/ 1 i) 2 (/ 1 alpha)) (pow beta 3))))))) (+ (* 1.0 (/ 1 (sqr beta))) (+ (* 1.0 (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (* 2.0 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))))) (/ 0 (- (+ (pow (fma (/ 1 i) 2 (/ 1 alpha)) 4) (+ (* 6 (/ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (sqr beta))) (+ (* 4 (/ (pow (fma (/ 1 i) 2 (/ 1 alpha)) 3) beta)) (+ (/ 1 (pow beta 4)) (* 4 (/ (fma (/ 1 i) 2 (/ 1 alpha)) (pow beta 3))))))) (+ (* 1.0 (/ 1 (sqr beta))) (+ (* 1.0 (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (* 2.0 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta))))))) (* 0 (/ 0 (- (+ (pow (fma (/ 1 i) 2 (/ 1 alpha)) 4) (+ (* 6 (/ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (sqr beta))) (+ (* 4 (/ (pow (fma (/ 1 i) 2 (/ 1 alpha)) 3) beta)) (+ (/ 1 (pow beta 4)) (* 4 (/ (fma (/ 1 i) 2 (/ 1 alpha)) (pow beta 3))))))) (+ (* 1.0 (/ 1 (sqr beta))) (+ (* 1.0 (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (* 2.0 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta))))))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 0) (+ (* 0 (+ (/ 1 beta) (/ 1 i))) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) 0) (+ (* 0 0) (* 0 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 0) (+ (* 0 0) (* 0 i))) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 0) (+ (* 0 0) (* 0 beta))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (sqr beta)) (/ 0 (sqr beta))) (* 0 (/ 0 (sqr beta))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma (/ 1 i) 2 (/ 1 alpha)) 0) (+ (* 0 0) (* 0 (fma (/ 1 i) 2 (/ 1 alpha))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 beta) (+ (* (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta) (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (+ (/ 1 (sqr beta)) (+ (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))) 1.0) 0) (+ (* 0 0) (* 0 (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* (- (+ (/ 1 (sqr beta)) (+ (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))) 1.0) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i))) (+ (* (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (- (+ (/ 1 (sqr beta)) (+ (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))) 1.0) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i))) (/ 0 (* (- (+ (/ 1 (sqr beta)) (+ (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))) 1.0) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i)))) (* (+ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* beta (* (- (+ (/ 1 (sqr beta)) (+ (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))) 1.0) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i)))) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (* (- (+ (/ 1 (sqr beta)) (+ (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))) 1.0) (sqr i))))) (/ 0 (* (- (+ (/ 1 (sqr beta)) (+ (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))) 1.0) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i)))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 0) (+ (* 0 0) (+ (* 0 0) (* 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (sqr beta)) (/ 0 (sqr beta))) (* 0 (/ 0 (sqr beta))) (* 0 (/ 0 (sqr beta))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 beta) (+ (* (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta) (/ 0 beta)) (* 0 (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma (/ 1 i) 2 (/ 1 alpha)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (fma (/ 1 i) 2 (/ 1 alpha)))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0) 0) (+ (* 0 0) (+ (* 0 (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta))))) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 0) (+ (* 0 0) (+ (* 0 (- (+ (pow (fma (/ 1 i) 2 (/ 1 alpha)) 4) (+ (* 6 (/ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (sqr beta))) (+ (* 4 (/ (pow (fma (/ 1 i) 2 (/ 1 alpha)) 3) beta)) (+ (/ 1 (pow beta 4)) (* 4 (/ (fma (/ 1 i) 2 (/ 1 alpha)) (pow beta 3))))))) (+ (* 1.0 (/ 1 (sqr beta))) (+ (* 2.0 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)) (* 1.0 (sqr (fma (/ 1 i) 2 (/ 1 alpha)))))))) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (- (+ (* 6 (/ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) beta)) (+ (/ 1 (pow beta 3)) (+ (* beta (pow (fma (/ 1 i) 2 (/ 1 alpha)) 4)) (+ (* 4 (/ (fma (/ 1 i) 2 (/ 1 alpha)) (sqr beta))) (* 4 (pow (fma (/ 1 i) 2 (/ 1 alpha)) 3)))))) (+ (* 1.0 (/ 1 beta)) (+ (* 1.0 (* beta (sqr (fma (/ 1 i) 2 (/ 1 alpha))))) (* 2.0 (fma (/ 1 i) 2 (/ 1 alpha))))))) (+ (* (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (- (+ (* 6 (/ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) beta)) (+ (/ 1 (pow beta 3)) (+ (* beta (pow (fma (/ 1 i) 2 (/ 1 alpha)) 4)) (+ (* 4 (/ (fma (/ 1 i) 2 (/ 1 alpha)) (sqr beta))) (* 4 (pow (fma (/ 1 i) 2 (/ 1 alpha)) 3)))))) (+ (* 1.0 (/ 1 beta)) (+ (* 1.0 (* beta (sqr (fma (/ 1 i) 2 (/ 1 alpha))))) (* 2.0 (fma (/ 1 i) 2 (/ 1 alpha))))))) (/ 0 (- (+ (* 6 (/ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) beta)) (+ (/ 1 (pow beta 3)) (+ (* beta (pow (fma (/ 1 i) 2 (/ 1 alpha)) 4)) (+ (* 4 (/ (fma (/ 1 i) 2 (/ 1 alpha)) (sqr beta))) (* 4 (pow (fma (/ 1 i) 2 (/ 1 alpha)) 3)))))) (+ (* 1.0 (/ 1 beta)) (+ (* 1.0 (* beta (sqr (fma (/ 1 i) 2 (/ 1 alpha))))) (* 2.0 (fma (/ 1 i) 2 (/ 1 alpha)))))))) (* 0 (/ 0 (- (+ (* 6 (/ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) beta)) (+ (/ 1 (pow beta 3)) (+ (* beta (pow (fma (/ 1 i) 2 (/ 1 alpha)) 4)) (+ (* 4 (/ (fma (/ 1 i) 2 (/ 1 alpha)) (sqr beta))) (* 4 (pow (fma (/ 1 i) 2 (/ 1 alpha)) 3)))))) (+ (* 1.0 (/ 1 beta)) (+ (* 1.0 (* beta (sqr (fma (/ 1 i) 2 (/ 1 alpha))))) (* 2.0 (fma (/ 1 i) 2 (/ 1 alpha)))))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 beta)))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (sqr beta)) (/ 0 (sqr beta))) (* 0 (/ 0 (sqr beta))) (* 0 (/ 0 (sqr beta))) (* 0 (/ 0 (sqr beta))) (* 0 (/ 0 (sqr beta))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 beta) (+ (* (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta) (/ 0 beta)) (* 0 (/ 0 beta)) (* 0 (/ 0 beta)) (* 0 (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma (/ 1 i) 2 (/ 1 alpha)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (fma (/ 1 i) 2 (/ 1 alpha)))))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 0) (* 0 0)))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)) (* 0 (/ 0 beta)) (* 0 (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (- (+ (/ 1 (sqr beta)) (+ (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))) 1.0)) (+ (* 0 0) (* 0 0)))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (- (+ (pow (fma (/ 1 i) 2 (/ 1 alpha)) 4) (+ (* 6 (/ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (sqr beta))) (+ (* 4 (/ (pow (fma (/ 1 i) 2 (/ 1 alpha)) 3) beta)) (+ (/ 1 (pow beta 4)) (* 4 (/ (fma (/ 1 i) 2 (/ 1 alpha)) (pow beta 3))))))) (+ (* 1.0 (/ 1 (sqr beta))) (+ (* 1.0 (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (* 2.0 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))))) (+ (* (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (- (+ (pow (fma (/ 1 i) 2 (/ 1 alpha)) 4) (+ (* 6 (/ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (sqr beta))) (+ (* 4 (/ (pow (fma (/ 1 i) 2 (/ 1 alpha)) 3) beta)) (+ (/ 1 (pow beta 4)) (* 4 (/ (fma (/ 1 i) 2 (/ 1 alpha)) (pow beta 3))))))) (+ (* 1.0 (/ 1 (sqr beta))) (+ (* 1.0 (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (* 2.0 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))))) (/ 0 (- (+ (pow (fma (/ 1 i) 2 (/ 1 alpha)) 4) (+ (* 6 (/ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (sqr beta))) (+ (* 4 (/ (pow (fma (/ 1 i) 2 (/ 1 alpha)) 3) beta)) (+ (/ 1 (pow beta 4)) (* 4 (/ (fma (/ 1 i) 2 (/ 1 alpha)) (pow beta 3))))))) (+ (* 1.0 (/ 1 (sqr beta))) (+ (* 1.0 (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (* 2.0 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta))))))) (* 0 (/ 0 (- (+ (pow (fma (/ 1 i) 2 (/ 1 alpha)) 4) (+ (* 6 (/ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (sqr beta))) (+ (* 4 (/ (pow (fma (/ 1 i) 2 (/ 1 alpha)) 3) beta)) (+ (/ 1 (pow beta 4)) (* 4 (/ (fma (/ 1 i) 2 (/ 1 alpha)) (pow beta 3))))))) (+ (* 1.0 (/ 1 (sqr beta))) (+ (* 1.0 (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (* 2.0 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta))))))) (* 0 (/ 0 (- (+ (pow (fma (/ 1 i) 2 (/ 1 alpha)) 4) (+ (* 6 (/ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (sqr beta))) (+ (* 4 (/ (pow (fma (/ 1 i) 2 (/ 1 alpha)) 3) beta)) (+ (/ 1 (pow beta 4)) (* 4 (/ (fma (/ 1 i) 2 (/ 1 alpha)) (pow beta 3))))))) (+ (* 1.0 (/ 1 (sqr beta))) (+ (* 1.0 (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (* 2.0 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta))))))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]approximate:  Taking taylor expansion of (cube (cbrt (/ (* (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) (- (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) 1.0)))) in (beta alpha i) around 0
* [misc]taylor:  Taking taylor expansion of (cube (cbrt (/ (* (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) (- (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) 1.0)))) in i
* [misc]backup-simplify:  Simplify (cube (cbrt (/ (* (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) (- (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) 1.0)))) into (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* i (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0)))))
* [misc]taylor:  Taking taylor expansion of (cube (cbrt (/ (* (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) (- (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) 1.0)))) in alpha
* [misc]backup-simplify:  Simplify (cube (cbrt (/ (* (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) (- (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) 1.0)))) into (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* i (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0)))))
* [misc]taylor:  Taking taylor expansion of (cube (cbrt (/ (* (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) (- (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) 1.0)))) in beta
* [misc]backup-simplify:  Simplify (cube (cbrt (/ (* (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) (- (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) 1.0)))) into (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* i (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0)))))
* [misc]taylor:  Taking taylor expansion of (cube (cbrt (/ (* (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) (- (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) 1.0)))) in beta
* [misc]backup-simplify:  Simplify (cube (cbrt (/ (* (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) (- (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) 1.0)))) into (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* i (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0)))))
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* i (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 i) (/ 1 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* i (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (* i (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqr beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (* beta beta) into (sqr beta)
* [misc]backup-simplify:  Simplify (/ 1 (sqr beta)) into (/ 1 (sqr beta))
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ -1 i) 2 (/ -1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta) into (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 1) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (- (/ 1 beta)) into (- (/ 1 beta))
* [misc]backup-simplify:  Simplify (+ (fma (/ -1 i) 2 (/ -1 alpha)) (- (/ 1 beta))) into (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))
* [misc]backup-simplify:  Simplify (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) into (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) 2 (/ -1 alpha))) into (sqr (fma (/ -1 i) 2 (/ -1 alpha)))
* [misc]backup-simplify:  Simplify (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) into (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha))))
* [misc]backup-simplify:  Simplify (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) into (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta))
* [misc]backup-simplify:  Simplify (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0) into (+ 1.0 (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)))
* [misc]backup-simplify:  Simplify (- (+ 1.0 (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)))) into (- (+ 1.0 (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta))))
* [misc]backup-simplify:  Simplify (+ (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (- (+ 1.0 (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta))))) into (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0))
* [misc]backup-simplify:  Simplify (* i (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0))) into (* i (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0)))
* [misc]backup-simplify:  Simplify (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* i (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0)))) into (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* i (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0))))
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* i (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0))))) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* i (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0)))))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (/ 1 i) 0) into (/ 1 i)
* [misc]backup-simplify:  Simplify (+ (/ 1 beta) (/ 1 i)) into (+ (/ 1 beta) (/ 1 i))
* [misc]backup-simplify:  Simplify (+ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (/ 1 i))) (* 0 1)) into (+ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) beta) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i))
* [misc]backup-simplify:  Simplify (+ (* beta 0) (* 0 beta)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (sqr beta)) (/ 0 (sqr beta))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma (/ -1 i) 2 (/ -1 alpha)) 0) (* 0 (fma (/ -1 i) 2 (/ -1 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 beta) (+ (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta) (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* i 0) (* 0 (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) 0) (* 0 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) 0) (* 0 (* i (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0))))) into 0
* [misc]backup-simplify:  Simplify (- (/ (+ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) beta) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* i (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0))))) (+ (* (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* i (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0))))) (/ 0 (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* i (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0)))))))) into (+ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* beta (* i (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0)))))) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* (sqr i) (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0))))))
* [misc]taylor:  Taking taylor expansion of (+ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* beta (* i (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0)))))) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* (sqr i) (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0)))))) in i
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* beta (* i (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0)))))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* beta (* i (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0))))) in i
* [misc]taylor:  Taking taylor expansion of (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) in i
* [misc]taylor:  Taking taylor expansion of (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (* beta (* i (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* i (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqr beta)) in i
* [misc]taylor:  Taking taylor expansion of (sqr beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (* beta beta) into (sqr beta)
* [misc]backup-simplify:  Simplify (/ 1 (sqr beta)) into (/ 1 (sqr beta))
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ -1 i) 2 (/ -1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta) into (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (- (/ 1 beta)) into (- (/ 1 beta))
* [misc]backup-simplify:  Simplify (+ (fma (/ -1 i) 2 (/ -1 alpha)) (- (/ 1 beta))) into (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))
* [misc]backup-simplify:  Simplify (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) into (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) 2 (/ -1 alpha))) into (sqr (fma (/ -1 i) 2 (/ -1 alpha)))
* [misc]backup-simplify:  Simplify (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) into (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha))))
* [misc]backup-simplify:  Simplify (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) into (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta))
* [misc]backup-simplify:  Simplify (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0) into (+ 1.0 (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)))
* [misc]backup-simplify:  Simplify (- (+ 1.0 (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)))) into (- (+ 1.0 (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta))))
* [misc]backup-simplify:  Simplify (+ (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (- (+ 1.0 (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta))))) into (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0))
* [misc]backup-simplify:  Simplify (* 0 (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0))) into 0
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 0) (* 0 beta)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (sqr beta)) (/ 0 (sqr beta))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma (/ -1 i) 2 (/ -1 alpha)) 0) (* 0 (fma (/ -1 i) 2 (/ -1 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 beta) (+ (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta) (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0)))) into (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0))
* [misc]backup-simplify:  Simplify (+ (* beta (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0))) (* 0 0)) into (- (+ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) beta) (/ 1 beta)) (+ (* 2 (fma (/ -1 i) 2 (/ -1 alpha))) (* 1.0 beta)))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) 0) (* 0 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (- (+ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) beta) (/ 1 beta)) (+ (* 2 (fma (/ -1 i) 2 (/ -1 alpha))) (* 1.0 beta)))) (* 0 0)) into (- (+ (* 2.0 (fma (/ -1 i) 2 (/ -1 alpha))) (+ (/ 1 (pow beta 3)) (+ (* 6 (/ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) beta)) (* (pow (fma (/ -1 i) 2 (/ -1 alpha)) 4) beta)))) (+ (* 4 (/ (fma (/ -1 i) 2 (/ -1 alpha)) (sqr beta))) (+ (* 4 (pow (fma (/ -1 i) 2 (/ -1 alpha)) 3)) (+ (* 1.0 (/ 1 beta)) (* 1.0 (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) beta))))))
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (- (+ (* 2.0 (fma (/ -1 i) 2 (/ -1 alpha))) (+ (/ 1 (pow beta 3)) (+ (* 6 (/ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) beta)) (* (pow (fma (/ -1 i) 2 (/ -1 alpha)) 4) beta)))) (+ (* 4 (/ (fma (/ -1 i) 2 (/ -1 alpha)) (sqr beta))) (+ (* 4 (pow (fma (/ -1 i) 2 (/ -1 alpha)) 3)) (+ (* 1.0 (/ 1 beta)) (* 1.0 (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) beta))))))) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (- (+ (* 2.0 (fma (/ -1 i) 2 (/ -1 alpha))) (+ (/ 1 (pow beta 3)) (+ (* 6 (/ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) beta)) (* (pow (fma (/ -1 i) 2 (/ -1 alpha)) 4) beta)))) (+ (* 1.0 (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) beta)) (+ (* 4 (pow (fma (/ -1 i) 2 (/ -1 alpha)) 3)) (+ (* 1.0 (/ 1 beta)) (* 4 (/ (fma (/ -1 i) 2 (/ -1 alpha)) (sqr beta))))))))
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* (sqr i) (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0))))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* (sqr i) (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) in i
* [misc]taylor:  Taking taylor expansion of (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (* (sqr i) (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of (sqr i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqr beta)) in i
* [misc]taylor:  Taking taylor expansion of (sqr beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (* beta beta) into (sqr beta)
* [misc]backup-simplify:  Simplify (/ 1 (sqr beta)) into (/ 1 (sqr beta))
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ -1 i) 2 (/ -1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta) into (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (- (/ 1 beta)) into (- (/ 1 beta))
* [misc]backup-simplify:  Simplify (+ (fma (/ -1 i) 2 (/ -1 alpha)) (- (/ 1 beta))) into (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))
* [misc]backup-simplify:  Simplify (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) into (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) 2 (/ -1 alpha))) into (sqr (fma (/ -1 i) 2 (/ -1 alpha)))
* [misc]backup-simplify:  Simplify (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) into (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha))))
* [misc]backup-simplify:  Simplify (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) into (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta))
* [misc]backup-simplify:  Simplify (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0) into (+ 1.0 (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)))
* [misc]backup-simplify:  Simplify (- (+ 1.0 (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)))) into (- (+ 1.0 (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta))))
* [misc]backup-simplify:  Simplify (+ (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (- (+ 1.0 (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta))))) into (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0))
* [misc]backup-simplify:  Simplify (* 0 (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0))) into 0
* [misc]backup-simplify:  Simplify (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 0) (* 0 beta)) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (sqr beta)) (/ 0 (sqr beta))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma (/ -1 i) 2 (/ -1 alpha)) 0) (* 0 (fma (/ -1 i) 2 (/ -1 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 beta) (+ (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta) (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 0 (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) 0) (* 0 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 0) (+ (* 0 0) (* 0 beta))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (sqr beta)) (/ 0 (sqr beta))) (* 0 (/ 0 (sqr beta))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma (/ -1 i) 2 (/ -1 alpha)) 0) (+ (* 0 0) (* 0 (fma (/ -1 i) 2 (/ -1 alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 beta) (+ (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta) (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 0 0) (* 1 (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0))))) into (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) 0) (+ (* 0 0) (* 0 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0))) (+ (* 0 0) (* 0 0))) into (- (+ (pow (fma (/ -1 i) 2 (/ -1 alpha)) 4) (+ (/ 1 (pow beta 4)) (+ (* 6 (/ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr beta))) (* 2.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta))))) (+ (* 1.0 (/ 1 (sqr beta))) (+ (* 4 (/ (fma (/ -1 i) 2 (/ -1 alpha)) (pow beta 3))) (+ (* 1.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (* 4 (/ (pow (fma (/ -1 i) 2 (/ -1 alpha)) 3) beta))))))
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (- (+ (pow (fma (/ -1 i) 2 (/ -1 alpha)) 4) (+ (/ 1 (pow beta 4)) (+ (* 6 (/ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr beta))) (* 2.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta))))) (+ (* 1.0 (/ 1 (sqr beta))) (+ (* 4 (/ (fma (/ -1 i) 2 (/ -1 alpha)) (pow beta 3))) (+ (* 1.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (* 4 (/ (pow (fma (/ -1 i) 2 (/ -1 alpha)) 3) beta))))))) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (- (+ (pow (fma (/ -1 i) 2 (/ -1 alpha)) 4) (+ (/ 1 (pow beta 4)) (+ (* 6 (/ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr beta))) (* 2.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta))))) (+ (* 1.0 (/ 1 (sqr beta))) (+ (* 4 (/ (fma (/ -1 i) 2 (/ -1 alpha)) (pow beta 3))) (+ (* 1.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (* 4 (/ (pow (fma (/ -1 i) 2 (/ -1 alpha)) 3) beta)))))))
* [misc]backup-simplify:  Simplify (+ (* beta 0) (+ (* 0 0) (* 0 beta))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (sqr beta)) (/ 0 (sqr beta))) (* 0 (/ 0 (sqr beta))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma (/ -1 i) 2 (/ -1 alpha)) 0) (+ (* 0 0) (* 0 (fma (/ -1 i) 2 (/ -1 alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 beta) (+ (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta) (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0))))) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 0) (+ (* 0 (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0))) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) 0) (+ (* 0 0) (* 0 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) 0) (+ (* 0 (- (+ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) beta) (/ 1 beta)) (+ (* 2 (fma (/ -1 i) 2 (/ -1 alpha))) (* 1.0 beta)))) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (- (+ (* 2.0 (fma (/ -1 i) 2 (/ -1 alpha))) (+ (/ 1 (pow beta 3)) (+ (* 6 (/ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) beta)) (* (pow (fma (/ -1 i) 2 (/ -1 alpha)) 4) beta)))) (+ (* 4 (/ (fma (/ -1 i) 2 (/ -1 alpha)) (sqr beta))) (+ (* 4 (pow (fma (/ -1 i) 2 (/ -1 alpha)) 3)) (+ (* 1.0 (/ 1 beta)) (* 1.0 (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) beta))))))) (+ (* (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (- (+ (* 2.0 (fma (/ -1 i) 2 (/ -1 alpha))) (+ (/ 1 (pow beta 3)) (+ (* 6 (/ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) beta)) (* (pow (fma (/ -1 i) 2 (/ -1 alpha)) 4) beta)))) (+ (* 1.0 (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) beta)) (+ (* 4 (pow (fma (/ -1 i) 2 (/ -1 alpha)) 3)) (+ (* 1.0 (/ 1 beta)) (* 4 (/ (fma (/ -1 i) 2 (/ -1 alpha)) (sqr beta)))))))) (/ 0 (- (+ (* 2.0 (fma (/ -1 i) 2 (/ -1 alpha))) (+ (/ 1 (pow beta 3)) (+ (* 6 (/ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) beta)) (* (pow (fma (/ -1 i) 2 (/ -1 alpha)) 4) beta)))) (+ (* 4 (/ (fma (/ -1 i) 2 (/ -1 alpha)) (sqr beta))) (+ (* 4 (pow (fma (/ -1 i) 2 (/ -1 alpha)) 3)) (+ (* 1.0 (/ 1 beta)) (* 1.0 (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) beta)))))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 beta))))) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 0) (+ (* 0 0) (+ (* 0 0) (* 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (sqr beta)) (/ 0 (sqr beta))) (* 0 (/ 0 (sqr beta))) (* 0 (/ 0 (sqr beta))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (sqr beta)) (/ 0 (sqr beta))) (* 0 (/ 0 (sqr beta))) (* 0 (/ 0 (sqr beta))) (* 0 (/ 0 (sqr beta))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma (/ -1 i) 2 (/ -1 alpha)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (fma (/ -1 i) 2 (/ -1 alpha))))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 beta) (+ (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta) (/ 0 beta)) (* 0 (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 beta) (+ (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta) (/ 0 beta)) (* 0 (/ 0 beta)) (* 0 (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma (/ -1 i) 2 (/ -1 alpha)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (fma (/ -1 i) 2 (/ -1 alpha)))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 0 0) (+ (* 1 0) (* 0 (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0)))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)) (* 0 (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) 0) (+ (* 0 0) (+ (* 0 (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0))) (+ (* 0 0) (* 0 0))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) 0) (+ (* 0 (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0))) (+ (* 0 0) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (- (+ (pow (fma (/ -1 i) 2 (/ -1 alpha)) 4) (+ (/ 1 (pow beta 4)) (+ (* 6 (/ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr beta))) (* 2.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta))))) (+ (* 1.0 (/ 1 (sqr beta))) (+ (* 4 (/ (fma (/ -1 i) 2 (/ -1 alpha)) (pow beta 3))) (+ (* 1.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (* 4 (/ (pow (fma (/ -1 i) 2 (/ -1 alpha)) 3) beta))))))) (+ (* (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (- (+ (pow (fma (/ -1 i) 2 (/ -1 alpha)) 4) (+ (/ 1 (pow beta 4)) (+ (* 6 (/ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr beta))) (* 2.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta))))) (+ (* 1.0 (/ 1 (sqr beta))) (+ (* 4 (/ (fma (/ -1 i) 2 (/ -1 alpha)) (pow beta 3))) (+ (* 1.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (* 4 (/ (pow (fma (/ -1 i) 2 (/ -1 alpha)) 3) beta))))))) (/ 0 (- (+ (pow (fma (/ -1 i) 2 (/ -1 alpha)) 4) (+ (/ 1 (pow beta 4)) (+ (* 6 (/ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr beta))) (* 2.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta))))) (+ (* 1.0 (/ 1 (sqr beta))) (+ (* 4 (/ (fma (/ -1 i) 2 (/ -1 alpha)) (pow beta 3))) (+ (* 1.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (* 4 (/ (pow (fma (/ -1 i) 2 (/ -1 alpha)) 3) beta)))))))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (- (+ (pow (fma (/ -1 i) 2 (/ -1 alpha)) 4) (+ (/ 1 (pow beta 4)) (+ (* 6 (/ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr beta))) (* 2.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta))))) (+ (* 1.0 (/ 1 (sqr beta))) (+ (* 4 (/ (fma (/ -1 i) 2 (/ -1 alpha)) (pow beta 3))) (+ (* 1.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (* 4 (/ (pow (fma (/ -1 i) 2 (/ -1 alpha)) 3) beta))))))) (+ (* (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (- (+ (pow (fma (/ -1 i) 2 (/ -1 alpha)) 4) (+ (/ 1 (pow beta 4)) (+ (* 6 (/ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr beta))) (* 2.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta))))) (+ (* 1.0 (/ 1 (sqr beta))) (+ (* 4 (/ (fma (/ -1 i) 2 (/ -1 alpha)) (pow beta 3))) (+ (* 1.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (* 4 (/ (pow (fma (/ -1 i) 2 (/ -1 alpha)) 3) beta))))))) (/ 0 (- (+ (pow (fma (/ -1 i) 2 (/ -1 alpha)) 4) (+ (/ 1 (pow beta 4)) (+ (* 6 (/ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr beta))) (* 2.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta))))) (+ (* 1.0 (/ 1 (sqr beta))) (+ (* 4 (/ (fma (/ -1 i) 2 (/ -1 alpha)) (pow beta 3))) (+ (* 1.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (* 4 (/ (pow (fma (/ -1 i) 2 (/ -1 alpha)) 3) beta)))))))) (* 0 (/ 0 (- (+ (pow (fma (/ -1 i) 2 (/ -1 alpha)) 4) (+ (/ 1 (pow beta 4)) (+ (* 6 (/ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr beta))) (* 2.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta))))) (+ (* 1.0 (/ 1 (sqr beta))) (+ (* 4 (/ (fma (/ -1 i) 2 (/ -1 alpha)) (pow beta 3))) (+ (* 1.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (* 4 (/ (pow (fma (/ -1 i) 2 (/ -1 alpha)) 3) beta)))))))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 0) (+ (* 0 (+ (/ 1 beta) (/ 1 i))) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 0) (+ (* 0 0) (* 0 beta))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (sqr beta)) (/ 0 (sqr beta))) (* 0 (/ 0 (sqr beta))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma (/ -1 i) 2 (/ -1 alpha)) 0) (+ (* 0 0) (* 0 (fma (/ -1 i) 2 (/ -1 alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 beta) (+ (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta) (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* i 0) (+ (* 0 0) (* 0 (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) 0) (+ (* 0 0) (* 0 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) 0) (+ (* 0 0) (* 0 (* i (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0)))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* i (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0))))) (+ (* (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* i (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0))))) (/ 0 (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* i (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0)))))) (* (+ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* beta (* i (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0)))))) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* (sqr i) (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0)))))) (/ 0 (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* i (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0)))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* beta 0) (+ (* 0 0) (+ (* 0 0) (* 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (sqr beta)) (/ 0 (sqr beta))) (* 0 (/ 0 (sqr beta))) (* 0 (/ 0 (sqr beta))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma (/ -1 i) 2 (/ -1 alpha)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (fma (/ -1 i) 2 (/ -1 alpha)))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 beta) (+ (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta) (/ 0 beta)) (* 0 (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 0) (+ (* 0 0) (+ (* 0 (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0))) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) 0) (+ (* 0 0) (+ (* 0 (- (+ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) beta) (/ 1 beta)) (+ (* 2 (fma (/ -1 i) 2 (/ -1 alpha))) (* 1.0 beta)))) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (- (+ (* 2.0 (fma (/ -1 i) 2 (/ -1 alpha))) (+ (/ 1 (pow beta 3)) (+ (* 6 (/ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) beta)) (* (pow (fma (/ -1 i) 2 (/ -1 alpha)) 4) beta)))) (+ (* 4 (/ (fma (/ -1 i) 2 (/ -1 alpha)) (sqr beta))) (+ (* 4 (pow (fma (/ -1 i) 2 (/ -1 alpha)) 3)) (+ (* 1.0 (/ 1 beta)) (* 1.0 (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) beta))))))) (+ (* (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (- (+ (* 2.0 (fma (/ -1 i) 2 (/ -1 alpha))) (+ (/ 1 (pow beta 3)) (+ (* 6 (/ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) beta)) (* (pow (fma (/ -1 i) 2 (/ -1 alpha)) 4) beta)))) (+ (* 1.0 (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) beta)) (+ (* 4 (pow (fma (/ -1 i) 2 (/ -1 alpha)) 3)) (+ (* 1.0 (/ 1 beta)) (* 4 (/ (fma (/ -1 i) 2 (/ -1 alpha)) (sqr beta)))))))) (/ 0 (- (+ (* 2.0 (fma (/ -1 i) 2 (/ -1 alpha))) (+ (/ 1 (pow beta 3)) (+ (* 6 (/ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) beta)) (* (pow (fma (/ -1 i) 2 (/ -1 alpha)) 4) beta)))) (+ (* 4 (/ (fma (/ -1 i) 2 (/ -1 alpha)) (sqr beta))) (+ (* 4 (pow (fma (/ -1 i) 2 (/ -1 alpha)) 3)) (+ (* 1.0 (/ 1 beta)) (* 1.0 (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) beta)))))))) (* 0 (/ 0 (- (+ (* 2.0 (fma (/ -1 i) 2 (/ -1 alpha))) (+ (/ 1 (pow beta 3)) (+ (* 6 (/ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) beta)) (* (pow (fma (/ -1 i) 2 (/ -1 alpha)) 4) beta)))) (+ (* 4 (/ (fma (/ -1 i) 2 (/ -1 alpha)) (sqr beta))) (+ (* 4 (pow (fma (/ -1 i) 2 (/ -1 alpha)) 3)) (+ (* 1.0 (/ 1 beta)) (* 1.0 (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) beta)))))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 beta)))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (sqr beta)) (/ 0 (sqr beta))) (* 0 (/ 0 (sqr beta))) (* 0 (/ 0 (sqr beta))) (* 0 (/ 0 (sqr beta))) (* 0 (/ 0 (sqr beta))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma (/ -1 i) 2 (/ -1 alpha)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (fma (/ -1 i) 2 (/ -1 alpha)))))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 beta) (+ (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta) (/ 0 beta)) (* 0 (/ 0 beta)) (* 0 (/ 0 beta)) (* 0 (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta))))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0)))))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)) (* 0 (/ 0 beta)) (* 0 (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0))) (+ (* 0 0) (* 0 0)))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (- (+ (pow (fma (/ -1 i) 2 (/ -1 alpha)) 4) (+ (/ 1 (pow beta 4)) (+ (* 6 (/ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr beta))) (* 2.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta))))) (+ (* 1.0 (/ 1 (sqr beta))) (+ (* 4 (/ (fma (/ -1 i) 2 (/ -1 alpha)) (pow beta 3))) (+ (* 1.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (* 4 (/ (pow (fma (/ -1 i) 2 (/ -1 alpha)) 3) beta))))))) (+ (* (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (- (+ (pow (fma (/ -1 i) 2 (/ -1 alpha)) 4) (+ (/ 1 (pow beta 4)) (+ (* 6 (/ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr beta))) (* 2.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta))))) (+ (* 1.0 (/ 1 (sqr beta))) (+ (* 4 (/ (fma (/ -1 i) 2 (/ -1 alpha)) (pow beta 3))) (+ (* 1.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (* 4 (/ (pow (fma (/ -1 i) 2 (/ -1 alpha)) 3) beta))))))) (/ 0 (- (+ (pow (fma (/ -1 i) 2 (/ -1 alpha)) 4) (+ (/ 1 (pow beta 4)) (+ (* 6 (/ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr beta))) (* 2.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta))))) (+ (* 1.0 (/ 1 (sqr beta))) (+ (* 4 (/ (fma (/ -1 i) 2 (/ -1 alpha)) (pow beta 3))) (+ (* 1.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (* 4 (/ (pow (fma (/ -1 i) 2 (/ -1 alpha)) 3) beta)))))))) (* 0 (/ 0 (- (+ (pow (fma (/ -1 i) 2 (/ -1 alpha)) 4) (+ (/ 1 (pow beta 4)) (+ (* 6 (/ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr beta))) (* 2.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta))))) (+ (* 1.0 (/ 1 (sqr beta))) (+ (* 4 (/ (fma (/ -1 i) 2 (/ -1 alpha)) (pow beta 3))) (+ (* 1.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (* 4 (/ (pow (fma (/ -1 i) 2 (/ -1 alpha)) 3) beta)))))))) (* 0 (/ 0 (- (+ (pow (fma (/ -1 i) 2 (/ -1 alpha)) 4) (+ (/ 1 (pow beta 4)) (+ (* 6 (/ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr beta))) (* 2.0 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta))))) (+ (* 1.0 (/ 1 (sqr beta))) (+ (* 4 (/ (fma (/ -1 i) 2 (/ -1 alpha)) (pow beta 3))) (+ (* 1.0 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (* 4 (/ (pow (fma (/ -1 i) 2 (/ -1 alpha)) 3) beta)))))))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* * * [misc]progress:  tayloring alt 9 of 10
* [misc]approximate:  Taking taylor expansion of (/ (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha)))) in (i alpha beta) around 0
* [misc]taylor:  Taking taylor expansion of (/ (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)) in beta
* [misc]backup-simplify:  Simplify (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)) into (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (/ (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha)))) into (/ (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))))
* [misc]taylor:  Taking taylor expansion of (/ (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)) in alpha
* [misc]backup-simplify:  Simplify (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)) into (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (/ (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha)))) into (/ (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))))
* [misc]taylor:  Taking taylor expansion of (/ (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)) in i
* [misc]backup-simplify:  Simplify (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)) into (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (/ (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha)))) into (/ (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))))
* [misc]taylor:  Taking taylor expansion of (/ (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)) in i
* [misc]backup-simplify:  Simplify (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)) into (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (/ (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha)))) into (/ (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))))
* [misc]taylor:  Taking taylor expansion of (/ (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)) in alpha
* [misc]backup-simplify:  Simplify (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)) into (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (/ (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha)))) into (/ (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))))
* [misc]taylor:  Taking taylor expansion of (/ (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)) in beta
* [misc]backup-simplify:  Simplify (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)) into (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (/ (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha)))) into (/ (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (/ (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha)))) into (/ (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (- (/ 0 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha)))) (+ (* (/ (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha)))) (/ 0 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha)))) (+ (* (/ (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha)))) (/ 0 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha)))) (+ (* (/ (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha)))) (/ 0 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha)))) (+ (* (/ (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha)))) (/ 0 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))))) (* 0 (/ 0 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha)))) (+ (* (/ (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha)))) (/ 0 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))))) (* 0 (/ 0 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha)))) into (/ (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))))
* [misc]approximate:  Taking taylor expansion of (/ (fma (fma (/ 1 (/ 1 i)) 2 (/ 1 (/ 1 alpha))) (fma (/ 1 (/ 1 beta)) 2 (fma (/ 1 (/ 1 i)) 2 (/ 1 (/ 1 alpha)))) (- (/ 1 (sqr (/ 1 beta))) 1.0)) (fma (/ 1 (/ 1 i)) (+ (/ 1 (/ 1 beta)) (+ (/ 1 (/ 1 alpha)) (/ 1 (/ 1 i)))) (/ 1 (* (/ 1 beta) (/ 1 alpha))))) in (i alpha beta) around 0
* [misc]taylor:  Taking taylor expansion of (/ (fma (fma (/ 1 (/ 1 i)) 2 (/ 1 (/ 1 alpha))) (fma (/ 1 (/ 1 beta)) 2 (fma (/ 1 (/ 1 i)) 2 (/ 1 (/ 1 alpha)))) (- (/ 1 (sqr (/ 1 beta))) 1.0)) (fma (/ 1 (/ 1 i)) (+ (/ 1 (/ 1 beta)) (+ (/ 1 (/ 1 alpha)) (/ 1 (/ 1 i)))) (/ 1 (* (/ 1 beta) (/ 1 alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (fma (/ 1 (/ 1 i)) 2 (/ 1 (/ 1 alpha))) (fma (/ 1 (/ 1 beta)) 2 (fma (/ 1 (/ 1 i)) 2 (/ 1 (/ 1 alpha)))) (- (/ 1 (sqr (/ 1 beta))) 1.0)) in beta
* [misc]backup-simplify:  Simplify (fma (fma (/ 1 (/ 1 i)) 2 (/ 1 (/ 1 alpha))) (fma (/ 1 (/ 1 beta)) 2 (fma (/ 1 (/ 1 i)) 2 (/ 1 (/ 1 alpha)))) (- (/ 1 (sqr (/ 1 beta))) 1.0)) into (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (/ 1 i)) (+ (/ 1 (/ 1 beta)) (+ (/ 1 (/ 1 alpha)) (/ 1 (/ 1 i)))) (/ 1 (* (/ 1 beta) (/ 1 alpha)))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (/ 1 i)) (+ (/ 1 (/ 1 beta)) (+ (/ 1 (/ 1 alpha)) (/ 1 (/ 1 i)))) (/ 1 (* (/ 1 beta) (/ 1 alpha)))) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]backup-simplify:  Simplify (/ (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) (fma i (+ beta (+ alpha i)) (* beta alpha))) into (/ (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) (fma i (+ beta (+ alpha i)) (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (fma (fma (/ 1 (/ 1 i)) 2 (/ 1 (/ 1 alpha))) (fma (/ 1 (/ 1 beta)) 2 (fma (/ 1 (/ 1 i)) 2 (/ 1 (/ 1 alpha)))) (- (/ 1 (sqr (/ 1 beta))) 1.0)) (fma (/ 1 (/ 1 i)) (+ (/ 1 (/ 1 beta)) (+ (/ 1 (/ 1 alpha)) (/ 1 (/ 1 i)))) (/ 1 (* (/ 1 beta) (/ 1 alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (fma (/ 1 (/ 1 i)) 2 (/ 1 (/ 1 alpha))) (fma (/ 1 (/ 1 beta)) 2 (fma (/ 1 (/ 1 i)) 2 (/ 1 (/ 1 alpha)))) (- (/ 1 (sqr (/ 1 beta))) 1.0)) in alpha
* [misc]backup-simplify:  Simplify (fma (fma (/ 1 (/ 1 i)) 2 (/ 1 (/ 1 alpha))) (fma (/ 1 (/ 1 beta)) 2 (fma (/ 1 (/ 1 i)) 2 (/ 1 (/ 1 alpha)))) (- (/ 1 (sqr (/ 1 beta))) 1.0)) into (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (/ 1 i)) (+ (/ 1 (/ 1 beta)) (+ (/ 1 (/ 1 alpha)) (/ 1 (/ 1 i)))) (/ 1 (* (/ 1 beta) (/ 1 alpha)))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 (/ 1 i)) (+ (/ 1 (/ 1 beta)) (+ (/ 1 (/ 1 alpha)) (/ 1 (/ 1 i)))) (/ 1 (* (/ 1 beta) (/ 1 alpha)))) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]backup-simplify:  Simplify (/ (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) (fma i (+ beta (+ alpha i)) (* beta alpha))) into (/ (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) (fma i (+ beta (+ alpha i)) (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (fma (fma (/ 1 (/ 1 i)) 2 (/ 1 (/ 1 alpha))) (fma (/ 1 (/ 1 beta)) 2 (fma (/ 1 (/ 1 i)) 2 (/ 1 (/ 1 alpha)))) (- (/ 1 (sqr (/ 1 beta))) 1.0)) (fma (/ 1 (/ 1 i)) (+ (/ 1 (/ 1 beta)) (+ (/ 1 (/ 1 alpha)) (/ 1 (/ 1 i)))) (/ 1 (* (/ 1 beta) (/ 1 alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (fma (fma (/ 1 (/ 1 i)) 2 (/ 1 (/ 1 alpha))) (fma (/ 1 (/ 1 beta)) 2 (fma (/ 1 (/ 1 i)) 2 (/ 1 (/ 1 alpha)))) (- (/ 1 (sqr (/ 1 beta))) 1.0)) in i
* [misc]backup-simplify:  Simplify (fma (fma (/ 1 (/ 1 i)) 2 (/ 1 (/ 1 alpha))) (fma (/ 1 (/ 1 beta)) 2 (fma (/ 1 (/ 1 i)) 2 (/ 1 (/ 1 alpha)))) (- (/ 1 (sqr (/ 1 beta))) 1.0)) into (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (/ 1 i)) (+ (/ 1 (/ 1 beta)) (+ (/ 1 (/ 1 alpha)) (/ 1 (/ 1 i)))) (/ 1 (* (/ 1 beta) (/ 1 alpha)))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 (/ 1 i)) (+ (/ 1 (/ 1 beta)) (+ (/ 1 (/ 1 alpha)) (/ 1 (/ 1 i)))) (/ 1 (* (/ 1 beta) (/ 1 alpha)))) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]backup-simplify:  Simplify (/ (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) (fma i (+ beta (+ alpha i)) (* beta alpha))) into (/ (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) (fma i (+ beta (+ alpha i)) (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (fma (fma (/ 1 (/ 1 i)) 2 (/ 1 (/ 1 alpha))) (fma (/ 1 (/ 1 beta)) 2 (fma (/ 1 (/ 1 i)) 2 (/ 1 (/ 1 alpha)))) (- (/ 1 (sqr (/ 1 beta))) 1.0)) (fma (/ 1 (/ 1 i)) (+ (/ 1 (/ 1 beta)) (+ (/ 1 (/ 1 alpha)) (/ 1 (/ 1 i)))) (/ 1 (* (/ 1 beta) (/ 1 alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (fma (fma (/ 1 (/ 1 i)) 2 (/ 1 (/ 1 alpha))) (fma (/ 1 (/ 1 beta)) 2 (fma (/ 1 (/ 1 i)) 2 (/ 1 (/ 1 alpha)))) (- (/ 1 (sqr (/ 1 beta))) 1.0)) in i
* [misc]backup-simplify:  Simplify (fma (fma (/ 1 (/ 1 i)) 2 (/ 1 (/ 1 alpha))) (fma (/ 1 (/ 1 beta)) 2 (fma (/ 1 (/ 1 i)) 2 (/ 1 (/ 1 alpha)))) (- (/ 1 (sqr (/ 1 beta))) 1.0)) into (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (/ 1 i)) (+ (/ 1 (/ 1 beta)) (+ (/ 1 (/ 1 alpha)) (/ 1 (/ 1 i)))) (/ 1 (* (/ 1 beta) (/ 1 alpha)))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 (/ 1 i)) (+ (/ 1 (/ 1 beta)) (+ (/ 1 (/ 1 alpha)) (/ 1 (/ 1 i)))) (/ 1 (* (/ 1 beta) (/ 1 alpha)))) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]backup-simplify:  Simplify (/ (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) (fma i (+ beta (+ alpha i)) (* beta alpha))) into (/ (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) (fma i (+ beta (+ alpha i)) (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) (fma i (+ beta (+ alpha i)) (* beta alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) in alpha
* [misc]backup-simplify:  Simplify (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) into (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0))
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]backup-simplify:  Simplify (/ (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) (fma i (+ beta (+ alpha i)) (* beta alpha))) into (/ (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) (fma i (+ beta (+ alpha i)) (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) (fma i (+ beta (+ alpha i)) (* beta alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) in beta
* [misc]backup-simplify:  Simplify (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) into (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0))
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in beta
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]backup-simplify:  Simplify (/ (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) (fma i (+ beta (+ alpha i)) (* beta alpha))) into (/ (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) (fma i (+ beta (+ alpha i)) (* beta alpha)))
* [misc]backup-simplify:  Simplify (/ (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) (fma i (+ beta (+ alpha i)) (* beta alpha))) into (/ (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) (fma i (+ beta (+ alpha i)) (* beta alpha)))
* [misc]backup-simplify:  Simplify (- (/ 0 (fma i (+ beta (+ alpha i)) (* beta alpha))) (+ (* (/ (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) (fma i (+ beta (+ alpha i)) (* beta alpha))) (/ 0 (fma i (+ beta (+ alpha i)) (* beta alpha)))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (fma i (+ beta (+ alpha i)) (* beta alpha))) (+ (* (/ (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) (fma i (+ beta (+ alpha i)) (* beta alpha))) (/ 0 (fma i (+ beta (+ alpha i)) (* beta alpha)))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (fma i (+ beta (+ alpha i)) (* beta alpha))) (+ (* (/ (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) (fma i (+ beta (+ alpha i)) (* beta alpha))) (/ 0 (fma i (+ beta (+ alpha i)) (* beta alpha)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (fma i (+ beta (+ alpha i)) (* beta alpha))) (+ (* (/ (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) (fma i (+ beta (+ alpha i)) (* beta alpha))) (/ 0 (fma i (+ beta (+ alpha i)) (* beta alpha)))) (* 0 (/ 0 (fma i (+ beta (+ alpha i)) (* beta alpha)))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (fma i (+ beta (+ alpha i)) (* beta alpha))) (+ (* (/ (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) (fma i (+ beta (+ alpha i)) (* beta alpha))) (/ 0 (fma i (+ beta (+ alpha i)) (* beta alpha)))) (* 0 (/ 0 (fma i (+ beta (+ alpha i)) (* beta alpha)))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) (fma i (+ beta (+ alpha i)) (* beta alpha))) into (/ (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) (fma i (+ beta (+ alpha i)) (* beta alpha)))
* [misc]approximate:  Taking taylor expansion of (/ (fma (fma (/ 1 (/ 1 (- i))) 2 (/ 1 (/ 1 (- alpha)))) (fma (/ 1 (/ 1 (- beta))) 2 (fma (/ 1 (/ 1 (- i))) 2 (/ 1 (/ 1 (- alpha))))) (- (/ 1 (sqr (/ 1 (- beta)))) 1.0)) (fma (/ 1 (/ 1 (- i))) (+ (/ 1 (/ 1 (- beta))) (+ (/ 1 (/ 1 (- alpha))) (/ 1 (/ 1 (- i))))) (/ 1 (* (/ 1 (- beta)) (/ 1 (- alpha)))))) in (i alpha beta) around 0
* [misc]taylor:  Taking taylor expansion of (/ (fma (fma (/ 1 (/ 1 (- i))) 2 (/ 1 (/ 1 (- alpha)))) (fma (/ 1 (/ 1 (- beta))) 2 (fma (/ 1 (/ 1 (- i))) 2 (/ 1 (/ 1 (- alpha))))) (- (/ 1 (sqr (/ 1 (- beta)))) 1.0)) (fma (/ 1 (/ 1 (- i))) (+ (/ 1 (/ 1 (- beta))) (+ (/ 1 (/ 1 (- alpha))) (/ 1 (/ 1 (- i))))) (/ 1 (* (/ 1 (- beta)) (/ 1 (- alpha)))))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (fma (/ 1 (/ 1 (- i))) 2 (/ 1 (/ 1 (- alpha)))) (fma (/ 1 (/ 1 (- beta))) 2 (fma (/ 1 (/ 1 (- i))) 2 (/ 1 (/ 1 (- alpha))))) (- (/ 1 (sqr (/ 1 (- beta)))) 1.0)) in beta
* [misc]backup-simplify:  Simplify (fma (fma (/ 1 (/ 1 (- i))) 2 (/ 1 (/ 1 (- alpha)))) (fma (/ 1 (/ 1 (- beta))) 2 (fma (/ 1 (/ 1 (- i))) 2 (/ 1 (/ 1 (- alpha))))) (- (/ 1 (sqr (/ 1 (- beta)))) 1.0)) into (fma (fma (* -1 i) 2 (* -1 alpha)) (fma (* -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (- (sqr beta) 1.0))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (/ 1 (- i))) (+ (/ 1 (/ 1 (- beta))) (+ (/ 1 (/ 1 (- alpha))) (/ 1 (/ 1 (- i))))) (/ 1 (* (/ 1 (- beta)) (/ 1 (- alpha))))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (/ 1 (- i))) (+ (/ 1 (/ 1 (- beta))) (+ (/ 1 (/ 1 (- alpha))) (/ 1 (/ 1 (- i))))) (/ 1 (* (/ 1 (- beta)) (/ 1 (- alpha))))) into (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))
* [misc]backup-simplify:  Simplify (/ (fma (fma (* -1 i) 2 (* -1 alpha)) (fma (* -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (- (sqr beta) 1.0)) (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))) into (/ (fma (fma (* -1 i) 2 (* -1 alpha)) (fma (* -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (- (sqr beta) 1.0)) (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (fma (fma (/ 1 (/ 1 (- i))) 2 (/ 1 (/ 1 (- alpha)))) (fma (/ 1 (/ 1 (- beta))) 2 (fma (/ 1 (/ 1 (- i))) 2 (/ 1 (/ 1 (- alpha))))) (- (/ 1 (sqr (/ 1 (- beta)))) 1.0)) (fma (/ 1 (/ 1 (- i))) (+ (/ 1 (/ 1 (- beta))) (+ (/ 1 (/ 1 (- alpha))) (/ 1 (/ 1 (- i))))) (/ 1 (* (/ 1 (- beta)) (/ 1 (- alpha)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (fma (/ 1 (/ 1 (- i))) 2 (/ 1 (/ 1 (- alpha)))) (fma (/ 1 (/ 1 (- beta))) 2 (fma (/ 1 (/ 1 (- i))) 2 (/ 1 (/ 1 (- alpha))))) (- (/ 1 (sqr (/ 1 (- beta)))) 1.0)) in alpha
* [misc]backup-simplify:  Simplify (fma (fma (/ 1 (/ 1 (- i))) 2 (/ 1 (/ 1 (- alpha)))) (fma (/ 1 (/ 1 (- beta))) 2 (fma (/ 1 (/ 1 (- i))) 2 (/ 1 (/ 1 (- alpha))))) (- (/ 1 (sqr (/ 1 (- beta)))) 1.0)) into (fma (fma (* -1 i) 2 (* -1 alpha)) (fma (* -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (- (sqr beta) 1.0))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (/ 1 (- i))) (+ (/ 1 (/ 1 (- beta))) (+ (/ 1 (/ 1 (- alpha))) (/ 1 (/ 1 (- i))))) (/ 1 (* (/ 1 (- beta)) (/ 1 (- alpha))))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 (/ 1 (- i))) (+ (/ 1 (/ 1 (- beta))) (+ (/ 1 (/ 1 (- alpha))) (/ 1 (/ 1 (- i))))) (/ 1 (* (/ 1 (- beta)) (/ 1 (- alpha))))) into (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))
* [misc]backup-simplify:  Simplify (/ (fma (fma (* -1 i) 2 (* -1 alpha)) (fma (* -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (- (sqr beta) 1.0)) (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))) into (/ (fma (fma (* -1 i) 2 (* -1 alpha)) (fma (* -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (- (sqr beta) 1.0)) (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (fma (fma (/ 1 (/ 1 (- i))) 2 (/ 1 (/ 1 (- alpha)))) (fma (/ 1 (/ 1 (- beta))) 2 (fma (/ 1 (/ 1 (- i))) 2 (/ 1 (/ 1 (- alpha))))) (- (/ 1 (sqr (/ 1 (- beta)))) 1.0)) (fma (/ 1 (/ 1 (- i))) (+ (/ 1 (/ 1 (- beta))) (+ (/ 1 (/ 1 (- alpha))) (/ 1 (/ 1 (- i))))) (/ 1 (* (/ 1 (- beta)) (/ 1 (- alpha)))))) in i
* [misc]taylor:  Taking taylor expansion of (fma (fma (/ 1 (/ 1 (- i))) 2 (/ 1 (/ 1 (- alpha)))) (fma (/ 1 (/ 1 (- beta))) 2 (fma (/ 1 (/ 1 (- i))) 2 (/ 1 (/ 1 (- alpha))))) (- (/ 1 (sqr (/ 1 (- beta)))) 1.0)) in i
* [misc]backup-simplify:  Simplify (fma (fma (/ 1 (/ 1 (- i))) 2 (/ 1 (/ 1 (- alpha)))) (fma (/ 1 (/ 1 (- beta))) 2 (fma (/ 1 (/ 1 (- i))) 2 (/ 1 (/ 1 (- alpha))))) (- (/ 1 (sqr (/ 1 (- beta)))) 1.0)) into (fma (fma (* -1 i) 2 (* -1 alpha)) (fma (* -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (- (sqr beta) 1.0))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (/ 1 (- i))) (+ (/ 1 (/ 1 (- beta))) (+ (/ 1 (/ 1 (- alpha))) (/ 1 (/ 1 (- i))))) (/ 1 (* (/ 1 (- beta)) (/ 1 (- alpha))))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 (/ 1 (- i))) (+ (/ 1 (/ 1 (- beta))) (+ (/ 1 (/ 1 (- alpha))) (/ 1 (/ 1 (- i))))) (/ 1 (* (/ 1 (- beta)) (/ 1 (- alpha))))) into (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))
* [misc]backup-simplify:  Simplify (/ (fma (fma (* -1 i) 2 (* -1 alpha)) (fma (* -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (- (sqr beta) 1.0)) (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))) into (/ (fma (fma (* -1 i) 2 (* -1 alpha)) (fma (* -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (- (sqr beta) 1.0)) (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (fma (fma (/ 1 (/ 1 (- i))) 2 (/ 1 (/ 1 (- alpha)))) (fma (/ 1 (/ 1 (- beta))) 2 (fma (/ 1 (/ 1 (- i))) 2 (/ 1 (/ 1 (- alpha))))) (- (/ 1 (sqr (/ 1 (- beta)))) 1.0)) (fma (/ 1 (/ 1 (- i))) (+ (/ 1 (/ 1 (- beta))) (+ (/ 1 (/ 1 (- alpha))) (/ 1 (/ 1 (- i))))) (/ 1 (* (/ 1 (- beta)) (/ 1 (- alpha)))))) in i
* [misc]taylor:  Taking taylor expansion of (fma (fma (/ 1 (/ 1 (- i))) 2 (/ 1 (/ 1 (- alpha)))) (fma (/ 1 (/ 1 (- beta))) 2 (fma (/ 1 (/ 1 (- i))) 2 (/ 1 (/ 1 (- alpha))))) (- (/ 1 (sqr (/ 1 (- beta)))) 1.0)) in i
* [misc]backup-simplify:  Simplify (fma (fma (/ 1 (/ 1 (- i))) 2 (/ 1 (/ 1 (- alpha)))) (fma (/ 1 (/ 1 (- beta))) 2 (fma (/ 1 (/ 1 (- i))) 2 (/ 1 (/ 1 (- alpha))))) (- (/ 1 (sqr (/ 1 (- beta)))) 1.0)) into (fma (fma (* -1 i) 2 (* -1 alpha)) (fma (* -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (- (sqr beta) 1.0))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (/ 1 (- i))) (+ (/ 1 (/ 1 (- beta))) (+ (/ 1 (/ 1 (- alpha))) (/ 1 (/ 1 (- i))))) (/ 1 (* (/ 1 (- beta)) (/ 1 (- alpha))))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 (/ 1 (- i))) (+ (/ 1 (/ 1 (- beta))) (+ (/ 1 (/ 1 (- alpha))) (/ 1 (/ 1 (- i))))) (/ 1 (* (/ 1 (- beta)) (/ 1 (- alpha))))) into (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))
* [misc]backup-simplify:  Simplify (/ (fma (fma (* -1 i) 2 (* -1 alpha)) (fma (* -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (- (sqr beta) 1.0)) (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))) into (/ (fma (fma (* -1 i) 2 (* -1 alpha)) (fma (* -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (- (sqr beta) 1.0)) (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (fma (fma (* -1 i) 2 (* -1 alpha)) (fma (* -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (- (sqr beta) 1.0)) (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (fma (* -1 i) 2 (* -1 alpha)) (fma (* -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (- (sqr beta) 1.0)) in alpha
* [misc]backup-simplify:  Simplify (fma (fma (* -1 i) 2 (* -1 alpha)) (fma (* -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (- (sqr beta) 1.0)) into (fma (fma (* -1 i) 2 (* -1 alpha)) (fma (* -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (- (sqr beta) 1.0))
* [misc]taylor:  Taking taylor expansion of (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) into (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))
* [misc]backup-simplify:  Simplify (/ (fma (fma (* -1 i) 2 (* -1 alpha)) (fma (* -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (- (sqr beta) 1.0)) (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))) into (/ (fma (fma (* -1 i) 2 (* -1 alpha)) (fma (* -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (- (sqr beta) 1.0)) (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (fma (fma (* -1 i) 2 (* -1 alpha)) (fma (* -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (- (sqr beta) 1.0)) (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (fma (* -1 i) 2 (* -1 alpha)) (fma (* -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (- (sqr beta) 1.0)) in beta
* [misc]backup-simplify:  Simplify (fma (fma (* -1 i) 2 (* -1 alpha)) (fma (* -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (- (sqr beta) 1.0)) into (fma (fma (* -1 i) 2 (* -1 alpha)) (fma (* -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (- (sqr beta) 1.0))
* [misc]taylor:  Taking taylor expansion of (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) in beta
* [misc]backup-simplify:  Simplify (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) into (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))
* [misc]backup-simplify:  Simplify (/ (fma (fma (* -1 i) 2 (* -1 alpha)) (fma (* -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (- (sqr beta) 1.0)) (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))) into (/ (fma (fma (* -1 i) 2 (* -1 alpha)) (fma (* -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (- (sqr beta) 1.0)) (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)))
* [misc]backup-simplify:  Simplify (/ (fma (fma (* -1 i) 2 (* -1 alpha)) (fma (* -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (- (sqr beta) 1.0)) (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))) into (/ (fma (fma (* -1 i) 2 (* -1 alpha)) (fma (* -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (- (sqr beta) 1.0)) (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)))
* [misc]backup-simplify:  Simplify (- (/ 0 (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))) (+ (* (/ (fma (fma (* -1 i) 2 (* -1 alpha)) (fma (* -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (- (sqr beta) 1.0)) (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))) (/ 0 (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))) (+ (* (/ (fma (fma (* -1 i) 2 (* -1 alpha)) (fma (* -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (- (sqr beta) 1.0)) (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))) (/ 0 (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))) (+ (* (/ (fma (fma (* -1 i) 2 (* -1 alpha)) (fma (* -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (- (sqr beta) 1.0)) (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))) (/ 0 (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))) (+ (* (/ (fma (fma (* -1 i) 2 (* -1 alpha)) (fma (* -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (- (sqr beta) 1.0)) (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))) (/ 0 (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)))) (* 0 (/ 0 (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))) (+ (* (/ (fma (fma (* -1 i) 2 (* -1 alpha)) (fma (* -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (- (sqr beta) 1.0)) (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))) (/ 0 (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)))) (* 0 (/ 0 (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (fma (fma (* -1 i) 2 (* -1 alpha)) (fma (* -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (- (sqr beta) 1.0)) (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))) into (/ (fma (fma (* -1 i) 2 (* -1 alpha)) (fma (* -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (- (sqr beta) 1.0)) (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)))
* [misc]approximate:  Taking taylor expansion of (/ (* (/ i (+ (fma i 2 alpha) beta)) (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta))) (/ (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))))) in (i alpha beta) around 0
* [misc]taylor:  Taking taylor expansion of (/ (* (/ i (+ (fma i 2 alpha) beta)) (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta))) (/ (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (* (/ i (+ (fma i 2 alpha) beta)) (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta))) in beta
* [misc]taylor:  Taking taylor expansion of (/ i (+ (fma i 2 alpha) beta)) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (+ (fma i 2 alpha) beta) in beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in beta
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ (fma i 2 alpha) 0) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (/ i (fma i 2 alpha)) into (/ i (fma i 2 alpha))
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ alpha i) beta) in beta
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ (fma i 2 alpha) beta) in beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in beta
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ alpha i) into (+ alpha i)
* [misc]backup-simplify:  Simplify (+ (+ alpha i) 0) into (+ alpha i)
* [misc]backup-simplify:  Simplify (+ (fma i 2 alpha) 0) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (/ (+ alpha i) (fma i 2 alpha)) into (/ (+ alpha i) (fma i 2 alpha))
* [misc]taylor:  Taking taylor expansion of (/ (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)) in beta
* [misc]backup-simplify:  Simplify (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)) into (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (/ (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha)))) into (/ (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (* (/ i (fma i 2 alpha)) (/ (+ alpha i) (fma i 2 alpha))) into (/ (* (+ alpha i) i) (sqr (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (/ (/ (* (+ alpha i) i) (sqr (fma i 2 alpha))) (/ (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))))) into (/ (* (+ alpha i) (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))) i)) (* (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)) (sqr (fma i 2 alpha))))
* [misc]taylor:  Taking taylor expansion of (/ (* (/ i (+ (fma i 2 alpha) beta)) (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta))) (/ (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (/ i (+ (fma i 2 alpha) beta)) (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ i (+ (fma i 2 alpha) beta)) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (+ (fma i 2 alpha) beta) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (+ (fma i 2 alpha) beta) into (+ beta (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (/ i (+ beta (fma i 2 alpha))) into (/ i (+ beta (fma i 2 alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ alpha i) beta) in alpha
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (+ (fma i 2 alpha) beta) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (+ 0 i) into i
* [misc]backup-simplify:  Simplify (+ i beta) into (+ beta i)
* [misc]backup-simplify:  Simplify (+ (fma i 2 alpha) beta) into (+ beta (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (/ (+ beta i) (+ beta (fma i 2 alpha))) into (/ (+ beta i) (+ beta (fma i 2 alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)) in alpha
* [misc]backup-simplify:  Simplify (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)) into (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (/ (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha)))) into (/ (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (* (/ i (+ beta (fma i 2 alpha))) (/ (+ beta i) (+ beta (fma i 2 alpha)))) into (/ (* i (+ beta i)) (sqr (+ beta (fma i 2 alpha))))
* [misc]backup-simplify:  Simplify (/ (/ (* i (+ beta i)) (sqr (+ beta (fma i 2 alpha)))) (/ (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))))) into (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))) (* i (+ beta i))) (* (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)) (sqr (+ beta (fma i 2 alpha)))))
* [misc]taylor:  Taking taylor expansion of (/ (* (/ i (+ (fma i 2 alpha) beta)) (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta))) (/ (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (* (/ i (+ (fma i 2 alpha) beta)) (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta))) in i
* [misc]taylor:  Taking taylor expansion of (/ i (+ (fma i 2 alpha) beta)) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ (fma i 2 alpha) beta) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (+ (fma i 2 alpha) beta) into (+ beta (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (/ 1 (+ beta (fma i 2 alpha))) into (/ 1 (+ beta (fma i 2 alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) in i
* [misc]taylor:  Taking taylor expansion of (+ (+ alpha i) beta) in i
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (+ (fma i 2 alpha) beta) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (+ alpha 0) into alpha
* [misc]backup-simplify:  Simplify (+ alpha beta) into (+ beta alpha)
* [misc]backup-simplify:  Simplify (+ (fma i 2 alpha) beta) into (+ beta (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (/ (+ beta alpha) (+ beta (fma i 2 alpha))) into (/ (+ beta alpha) (+ beta (fma i 2 alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)) in i
* [misc]backup-simplify:  Simplify (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)) into (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (/ (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha)))) into (/ (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (* (/ 1 (+ beta (fma i 2 alpha))) (/ (+ beta alpha) (+ beta (fma i 2 alpha)))) into (/ (+ beta alpha) (sqr (+ beta (fma i 2 alpha))))
* [misc]backup-simplify:  Simplify (/ (/ (+ beta alpha) (sqr (+ beta (fma i 2 alpha)))) (/ (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))))) into (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))) (+ beta alpha)) (* (sqr (+ beta (fma i 2 alpha))) (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0))))
* [misc]taylor:  Taking taylor expansion of (/ (* (/ i (+ (fma i 2 alpha) beta)) (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta))) (/ (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (* (/ i (+ (fma i 2 alpha) beta)) (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta))) in i
* [misc]taylor:  Taking taylor expansion of (/ i (+ (fma i 2 alpha) beta)) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ (fma i 2 alpha) beta) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (+ (fma i 2 alpha) beta) into (+ beta (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (/ 1 (+ beta (fma i 2 alpha))) into (/ 1 (+ beta (fma i 2 alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) in i
* [misc]taylor:  Taking taylor expansion of (+ (+ alpha i) beta) in i
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (+ (fma i 2 alpha) beta) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (+ alpha 0) into alpha
* [misc]backup-simplify:  Simplify (+ alpha beta) into (+ beta alpha)
* [misc]backup-simplify:  Simplify (+ (fma i 2 alpha) beta) into (+ beta (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (/ (+ beta alpha) (+ beta (fma i 2 alpha))) into (/ (+ beta alpha) (+ beta (fma i 2 alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)) in i
* [misc]backup-simplify:  Simplify (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)) into (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (/ (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha)))) into (/ (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (* (/ 1 (+ beta (fma i 2 alpha))) (/ (+ beta alpha) (+ beta (fma i 2 alpha)))) into (/ (+ beta alpha) (sqr (+ beta (fma i 2 alpha))))
* [misc]backup-simplify:  Simplify (/ (/ (+ beta alpha) (sqr (+ beta (fma i 2 alpha)))) (/ (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))))) into (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))) (+ beta alpha)) (* (sqr (+ beta (fma i 2 alpha))) (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0))))
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))) (+ beta alpha)) (* (sqr (+ beta (fma i 2 alpha))) (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))) (+ beta alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (+ beta alpha) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (sqr (+ beta (fma i 2 alpha))) (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (+ beta (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)) in alpha
* [misc]backup-simplify:  Simplify (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)) into (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0))
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))) beta) into (* beta (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (+ beta (fma i 2 alpha)) into (+ beta (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* (+ beta (fma i 2 alpha)) (+ beta (fma i 2 alpha))) into (sqr (+ beta (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (* (sqr (+ beta (fma i 2 alpha))) (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0))) into (* (sqr (+ beta (fma i 2 alpha))) (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)))
* [misc]backup-simplify:  Simplify (/ (* beta (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha)))) (* (sqr (+ beta (fma i 2 alpha))) (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)))) into (/ (* beta (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha)))) (* (sqr (+ beta (fma i 2 alpha))) (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0))))
* [misc]taylor:  Taking taylor expansion of (/ (* beta (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha)))) (* (sqr (+ beta (fma i 2 alpha))) (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)))) in beta
* [misc]taylor:  Taking taylor expansion of (* beta (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (* (sqr (+ beta (fma i 2 alpha))) (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0))) in beta
* [misc]taylor:  Taking taylor expansion of (sqr (+ beta (fma i 2 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in beta
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)) in beta
* [misc]backup-simplify:  Simplify (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)) into (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0))
* [misc]backup-simplify:  Simplify (* 0 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (+ 0 (fma i 2 alpha)) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* (sqr (fma i 2 alpha)) (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0))) into (* (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)) (sqr (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))) (* (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)) (sqr (fma i 2 alpha)))) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))) (* (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)) (sqr (fma i 2 alpha))))
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 1 (+ beta (fma i 2 alpha))) (+ (* (/ (+ beta alpha) (+ beta (fma i 2 alpha))) (/ 0 (+ beta (fma i 2 alpha)))))) into (/ 1 (+ beta (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ beta (fma i 2 alpha))) (+ (* (/ 1 (+ beta (fma i 2 alpha))) (/ 0 (+ beta (fma i 2 alpha)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 (+ beta (fma i 2 alpha))) (/ 1 (+ beta (fma i 2 alpha)))) (* 0 (/ (+ beta alpha) (+ beta (fma i 2 alpha))))) into (/ 1 (sqr (+ beta (fma i 2 alpha))))
* [misc]backup-simplify:  Simplify (- (/ 0 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha)))) (+ (* (/ (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha)))) (/ 0 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))))))) into 0
* [misc]backup-simplify:  Simplify (- (/ (/ 1 (sqr (+ beta (fma i 2 alpha)))) (/ (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))))) (+ (* (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))) (+ beta alpha)) (* (sqr (+ beta (fma i 2 alpha))) (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)))) (/ 0 (/ (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha)))))))) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))) (* (sqr (+ beta (fma i 2 alpha))) (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0))))
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))) (* (sqr (+ beta (fma i 2 alpha))) (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (* (sqr (+ beta (fma i 2 alpha))) (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (+ beta (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)) in alpha
* [misc]backup-simplify:  Simplify (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)) into (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0))
* [misc]backup-simplify:  Simplify (+ beta (fma i 2 alpha)) into (+ beta (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* (+ beta (fma i 2 alpha)) (+ beta (fma i 2 alpha))) into (sqr (+ beta (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (* (sqr (+ beta (fma i 2 alpha))) (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0))) into (* (sqr (+ beta (fma i 2 alpha))) (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)))
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))) (* (sqr (+ beta (fma i 2 alpha))) (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)))) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))) (* (sqr (+ beta (fma i 2 alpha))) (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0))))
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))) (* (sqr (+ beta (fma i 2 alpha))) (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (* (sqr (+ beta (fma i 2 alpha))) (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0))) in beta
* [misc]taylor:  Taking taylor expansion of (sqr (+ beta (fma i 2 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in beta
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)) in beta
* [misc]backup-simplify:  Simplify (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)) into (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0))
* [misc]backup-simplify:  Simplify (+ 0 (fma i 2 alpha)) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* (sqr (fma i 2 alpha)) (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0))) into (* (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)) (sqr (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))) (* (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)) (sqr (fma i 2 alpha)))) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))) (* (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)) (sqr (fma i 2 alpha))))
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))) (* (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)) (sqr (fma i 2 alpha)))) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))) (* (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)) (sqr (fma i 2 alpha))))
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))) 1) (* 0 beta)) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ beta (fma i 2 alpha)) 0) (* 0 (+ beta (fma i 2 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (+ beta (fma i 2 alpha))) 0) (* 0 (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)))) into 0
* [misc]backup-simplify:  Simplify (- (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))) (* (sqr (+ beta (fma i 2 alpha))) (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)))) (+ (* (/ (* beta (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha)))) (* (sqr (+ beta (fma i 2 alpha))) (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)))) (/ 0 (* (sqr (+ beta (fma i 2 alpha))) (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0))))))) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))) (* (sqr (+ beta (fma i 2 alpha))) (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0))))
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))) (* (sqr (+ beta (fma i 2 alpha))) (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (* (sqr (+ beta (fma i 2 alpha))) (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0))) in beta
* [misc]taylor:  Taking taylor expansion of (sqr (+ beta (fma i 2 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in beta
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)) in beta
* [misc]backup-simplify:  Simplify (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)) into (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0))
* [misc]backup-simplify:  Simplify (+ 0 (fma i 2 alpha)) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* (sqr (fma i 2 alpha)) (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0))) into (* (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)) (sqr (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))) (* (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)) (sqr (fma i 2 alpha)))) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))) (* (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)) (sqr (fma i 2 alpha))))
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))) (* (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)) (sqr (fma i 2 alpha)))) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))) (* (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)) (sqr (fma i 2 alpha))))
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))) (* (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)) (sqr (fma i 2 alpha)))) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))) (* (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)) (sqr (fma i 2 alpha))))
* [misc]backup-simplify:  Simplify (+ (* (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))) (* (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)) (sqr (fma i 2 alpha)))) (* beta (* 1 i))) (+ (* (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))) (* (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)) (sqr (fma i 2 alpha)))) (* 1 (* alpha i))) (* (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))) (* (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)) (sqr (fma i 2 alpha)))) (sqr (* 1 (* 1 i)))))) into (+ (/ (* (sqr i) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha)))) (* (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)) (sqr (fma i 2 alpha)))) (+ (/ (* beta (* i (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))))) (* (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)) (sqr (fma i 2 alpha)))) (/ (* alpha (* i (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))))) (* (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)) (sqr (fma i 2 alpha))))))
* [misc]approximate:  Taking taylor expansion of (/ (* (/ (/ 1 i) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta))) (/ (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)))) (/ (fma (fma (/ 1 (/ 1 i)) 2 (/ 1 (/ 1 alpha))) (fma (/ 1 (/ 1 beta)) 2 (fma (/ 1 (/ 1 i)) 2 (/ 1 (/ 1 alpha)))) (- (/ 1 (sqr (/ 1 beta))) 1.0)) (fma (/ 1 (/ 1 i)) (+ (/ 1 (/ 1 beta)) (+ (/ 1 (/ 1 alpha)) (/ 1 (/ 1 i)))) (/ 1 (* (/ 1 beta) (/ 1 alpha)))))) in (i alpha beta) around 0
* [misc]taylor:  Taking taylor expansion of (/ (* (/ (/ 1 i) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta))) (/ (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)))) (/ (fma (fma (/ 1 (/ 1 i)) 2 (/ 1 (/ 1 alpha))) (fma (/ 1 (/ 1 beta)) 2 (fma (/ 1 (/ 1 i)) 2 (/ 1 (/ 1 alpha)))) (- (/ 1 (sqr (/ 1 beta))) 1.0)) (fma (/ 1 (/ 1 i)) (+ (/ 1 (/ 1 beta)) (+ (/ 1 (/ 1 alpha)) (/ 1 (/ 1 i)))) (/ 1 (* (/ 1 beta) (/ 1 alpha)))))) in beta
* [misc]taylor:  Taking taylor expansion of (* (/ (/ 1 i) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta))) (/ (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 i) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (/ (/ 1 i) 1) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 alpha) (/ 1 i)) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ (fma (fma (/ 1 (/ 1 i)) 2 (/ 1 (/ 1 alpha))) (fma (/ 1 (/ 1 beta)) 2 (fma (/ 1 (/ 1 i)) 2 (/ 1 (/ 1 alpha)))) (- (/ 1 (sqr (/ 1 beta))) 1.0)) (fma (/ 1 (/ 1 i)) (+ (/ 1 (/ 1 beta)) (+ (/ 1 (/ 1 alpha)) (/ 1 (/ 1 i)))) (/ 1 (* (/ 1 beta) (/ 1 alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (fma (/ 1 (/ 1 i)) 2 (/ 1 (/ 1 alpha))) (fma (/ 1 (/ 1 beta)) 2 (fma (/ 1 (/ 1 i)) 2 (/ 1 (/ 1 alpha)))) (- (/ 1 (sqr (/ 1 beta))) 1.0)) in beta
* [misc]backup-simplify:  Simplify (fma (fma (/ 1 (/ 1 i)) 2 (/ 1 (/ 1 alpha))) (fma (/ 1 (/ 1 beta)) 2 (fma (/ 1 (/ 1 i)) 2 (/ 1 (/ 1 alpha)))) (- (/ 1 (sqr (/ 1 beta))) 1.0)) into (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (/ 1 i)) (+ (/ 1 (/ 1 beta)) (+ (/ 1 (/ 1 alpha)) (/ 1 (/ 1 i)))) (/ 1 (* (/ 1 beta) (/ 1 alpha)))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (/ 1 i)) (+ (/ 1 (/ 1 beta)) (+ (/ 1 (/ 1 alpha)) (/ 1 (/ 1 i)))) (/ 1 (* (/ 1 beta) (/ 1 alpha)))) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]backup-simplify:  Simplify (/ (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) (fma i (+ beta (+ alpha i)) (* beta alpha))) into (/ (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) (fma i (+ beta (+ alpha i)) (* beta alpha)))
* [misc]backup-simplify:  Simplify (* (/ 1 i) 1) into (/ 1 i)
* [misc]backup-simplify:  Simplify (/ (/ 1 i) (/ (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) (fma i (+ beta (+ alpha i)) (* beta alpha)))) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) i))
* [misc]taylor:  Taking taylor expansion of (/ (* (/ (/ 1 i) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta))) (/ (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)))) (/ (fma (fma (/ 1 (/ 1 i)) 2 (/ 1 (/ 1 alpha))) (fma (/ 1 (/ 1 beta)) 2 (fma (/ 1 (/ 1 i)) 2 (/ 1 (/ 1 alpha)))) (- (/ 1 (sqr (/ 1 beta))) 1.0)) (fma (/ 1 (/ 1 i)) (+ (/ 1 (/ 1 beta)) (+ (/ 1 (/ 1 alpha)) (/ 1 (/ 1 i)))) (/ 1 (* (/ 1 beta) (/ 1 alpha)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (/ (/ 1 i) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta))) (/ (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 i) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]backup-simplify:  Simplify (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) into (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) into (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 alpha) (/ 1 i)) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) into (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) into (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (/ (fma (fma (/ 1 (/ 1 i)) 2 (/ 1 (/ 1 alpha))) (fma (/ 1 (/ 1 beta)) 2 (fma (/ 1 (/ 1 i)) 2 (/ 1 (/ 1 alpha)))) (- (/ 1 (sqr (/ 1 beta))) 1.0)) (fma (/ 1 (/ 1 i)) (+ (/ 1 (/ 1 beta)) (+ (/ 1 (/ 1 alpha)) (/ 1 (/ 1 i)))) (/ 1 (* (/ 1 beta) (/ 1 alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (fma (/ 1 (/ 1 i)) 2 (/ 1 (/ 1 alpha))) (fma (/ 1 (/ 1 beta)) 2 (fma (/ 1 (/ 1 i)) 2 (/ 1 (/ 1 alpha)))) (- (/ 1 (sqr (/ 1 beta))) 1.0)) in alpha
* [misc]backup-simplify:  Simplify (fma (fma (/ 1 (/ 1 i)) 2 (/ 1 (/ 1 alpha))) (fma (/ 1 (/ 1 beta)) 2 (fma (/ 1 (/ 1 i)) 2 (/ 1 (/ 1 alpha)))) (- (/ 1 (sqr (/ 1 beta))) 1.0)) into (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (/ 1 i)) (+ (/ 1 (/ 1 beta)) (+ (/ 1 (/ 1 alpha)) (/ 1 (/ 1 i)))) (/ 1 (* (/ 1 beta) (/ 1 alpha)))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 (/ 1 i)) (+ (/ 1 (/ 1 beta)) (+ (/ 1 (/ 1 alpha)) (/ 1 (/ 1 i)))) (/ 1 (* (/ 1 beta) (/ 1 alpha)))) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]backup-simplify:  Simplify (/ (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) (fma i (+ beta (+ alpha i)) (* beta alpha))) into (/ (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) (fma i (+ beta (+ alpha i)) (* beta alpha)))
* [misc]backup-simplify:  Simplify (* (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i)) (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) into (/ 1 (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i))
* [misc]backup-simplify:  Simplify (/ (/ 1 (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i)) (/ (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) (fma i (+ beta (+ alpha i)) (* beta alpha)))) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i)))
* [misc]taylor:  Taking taylor expansion of (/ (* (/ (/ 1 i) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta))) (/ (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)))) (/ (fma (fma (/ 1 (/ 1 i)) 2 (/ 1 (/ 1 alpha))) (fma (/ 1 (/ 1 beta)) 2 (fma (/ 1 (/ 1 i)) 2 (/ 1 (/ 1 alpha)))) (- (/ 1 (sqr (/ 1 beta))) 1.0)) (fma (/ 1 (/ 1 i)) (+ (/ 1 (/ 1 beta)) (+ (/ 1 (/ 1 alpha)) (/ 1 (/ 1 i)))) (/ 1 (* (/ 1 beta) (/ 1 alpha)))))) in i
* [misc]taylor:  Taking taylor expansion of (* (/ (/ 1 i) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta))) (/ (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)))) in i
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 i) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]backup-simplify:  Simplify (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) into (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) into (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta))) in i
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) in i
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 alpha) (/ 1 i)) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) into (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) into (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (/ (fma (fma (/ 1 (/ 1 i)) 2 (/ 1 (/ 1 alpha))) (fma (/ 1 (/ 1 beta)) 2 (fma (/ 1 (/ 1 i)) 2 (/ 1 (/ 1 alpha)))) (- (/ 1 (sqr (/ 1 beta))) 1.0)) (fma (/ 1 (/ 1 i)) (+ (/ 1 (/ 1 beta)) (+ (/ 1 (/ 1 alpha)) (/ 1 (/ 1 i)))) (/ 1 (* (/ 1 beta) (/ 1 alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (fma (fma (/ 1 (/ 1 i)) 2 (/ 1 (/ 1 alpha))) (fma (/ 1 (/ 1 beta)) 2 (fma (/ 1 (/ 1 i)) 2 (/ 1 (/ 1 alpha)))) (- (/ 1 (sqr (/ 1 beta))) 1.0)) in i
* [misc]backup-simplify:  Simplify (fma (fma (/ 1 (/ 1 i)) 2 (/ 1 (/ 1 alpha))) (fma (/ 1 (/ 1 beta)) 2 (fma (/ 1 (/ 1 i)) 2 (/ 1 (/ 1 alpha)))) (- (/ 1 (sqr (/ 1 beta))) 1.0)) into (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (/ 1 i)) (+ (/ 1 (/ 1 beta)) (+ (/ 1 (/ 1 alpha)) (/ 1 (/ 1 i)))) (/ 1 (* (/ 1 beta) (/ 1 alpha)))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 (/ 1 i)) (+ (/ 1 (/ 1 beta)) (+ (/ 1 (/ 1 alpha)) (/ 1 (/ 1 i)))) (/ 1 (* (/ 1 beta) (/ 1 alpha)))) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]backup-simplify:  Simplify (/ (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) (fma i (+ beta (+ alpha i)) (* beta alpha))) into (/ (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) (fma i (+ beta (+ alpha i)) (* beta alpha)))
* [misc]backup-simplify:  Simplify (* (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) into (/ 1 (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (/ (/ 1 (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (/ (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) (fma i (+ beta (+ alpha i)) (* beta alpha)))) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))
* [misc]taylor:  Taking taylor expansion of (/ (* (/ (/ 1 i) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta))) (/ (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)))) (/ (fma (fma (/ 1 (/ 1 i)) 2 (/ 1 (/ 1 alpha))) (fma (/ 1 (/ 1 beta)) 2 (fma (/ 1 (/ 1 i)) 2 (/ 1 (/ 1 alpha)))) (- (/ 1 (sqr (/ 1 beta))) 1.0)) (fma (/ 1 (/ 1 i)) (+ (/ 1 (/ 1 beta)) (+ (/ 1 (/ 1 alpha)) (/ 1 (/ 1 i)))) (/ 1 (* (/ 1 beta) (/ 1 alpha)))))) in i
* [misc]taylor:  Taking taylor expansion of (* (/ (/ 1 i) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta))) (/ (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)))) in i
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 i) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]backup-simplify:  Simplify (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) into (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) into (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta))) in i
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) in i
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 alpha) (/ 1 i)) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) into (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) into (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (/ (fma (fma (/ 1 (/ 1 i)) 2 (/ 1 (/ 1 alpha))) (fma (/ 1 (/ 1 beta)) 2 (fma (/ 1 (/ 1 i)) 2 (/ 1 (/ 1 alpha)))) (- (/ 1 (sqr (/ 1 beta))) 1.0)) (fma (/ 1 (/ 1 i)) (+ (/ 1 (/ 1 beta)) (+ (/ 1 (/ 1 alpha)) (/ 1 (/ 1 i)))) (/ 1 (* (/ 1 beta) (/ 1 alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (fma (fma (/ 1 (/ 1 i)) 2 (/ 1 (/ 1 alpha))) (fma (/ 1 (/ 1 beta)) 2 (fma (/ 1 (/ 1 i)) 2 (/ 1 (/ 1 alpha)))) (- (/ 1 (sqr (/ 1 beta))) 1.0)) in i
* [misc]backup-simplify:  Simplify (fma (fma (/ 1 (/ 1 i)) 2 (/ 1 (/ 1 alpha))) (fma (/ 1 (/ 1 beta)) 2 (fma (/ 1 (/ 1 i)) 2 (/ 1 (/ 1 alpha)))) (- (/ 1 (sqr (/ 1 beta))) 1.0)) into (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (/ 1 i)) (+ (/ 1 (/ 1 beta)) (+ (/ 1 (/ 1 alpha)) (/ 1 (/ 1 i)))) (/ 1 (* (/ 1 beta) (/ 1 alpha)))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 (/ 1 i)) (+ (/ 1 (/ 1 beta)) (+ (/ 1 (/ 1 alpha)) (/ 1 (/ 1 i)))) (/ 1 (* (/ 1 beta) (/ 1 alpha)))) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]backup-simplify:  Simplify (/ (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) (fma i (+ beta (+ alpha i)) (* beta alpha))) into (/ (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) (fma i (+ beta (+ alpha i)) (* beta alpha)))
* [misc]backup-simplify:  Simplify (* (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) into (/ 1 (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (/ (/ 1 (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (/ (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) (fma i (+ beta (+ alpha i)) (* beta alpha)))) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))
* [misc]taylor:  Taking taylor expansion of (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (* (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) in alpha
* [misc]backup-simplify:  Simplify (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) into (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0))
* [misc]taylor:  Taking taylor expansion of (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) into (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) into (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (* (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) into (* (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (/ 1 alpha) 0) into (/ 1 alpha)
* [misc]backup-simplify:  Simplify (+ (/ 1 alpha) (/ 1 beta)) into (+ (/ 1 beta) (/ 1 alpha))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ (+ (/ 1 beta) (/ 1 alpha)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (+ (* (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (/ 0 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))) into (+ (/ 1 (* beta (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (/ 1 (* alpha (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (+ (* (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (/ 0 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (+ (/ 1 (* beta (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (/ 1 (* alpha (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))) (* 0 (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) into (+ (/ 1 (* beta (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) (/ 1 (* alpha (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))))
* [misc]backup-simplify:  Simplify (- (/ 0 (fma i (+ beta (+ alpha i)) (* beta alpha))) (+ (* (/ (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) (fma i (+ beta (+ alpha i)) (* beta alpha))) (/ 0 (fma i (+ beta (+ alpha i)) (* beta alpha)))))) into 0
* [misc]backup-simplify:  Simplify (- (/ (+ (/ 1 (* beta (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) (/ 1 (* alpha (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))) (/ (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) (fma i (+ beta (+ alpha i)) (* beta alpha)))) (+ (* (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) (/ 0 (/ (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) (fma i (+ beta (+ alpha i)) (* beta alpha))))))) into (+ (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha (* (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))) (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* beta (* (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))))
* [misc]taylor:  Taking taylor expansion of (+ (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha (* (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))) (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* beta (* (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha (* (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (* alpha (* (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) in alpha
* [misc]backup-simplify:  Simplify (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) into (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0))
* [misc]taylor:  Taking taylor expansion of (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) into (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) into (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (* (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) into (* (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (* 0 (* (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) 0) (* 0 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) 0) (* 0 (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 (* (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))) into (+ (* 2 (/ (* (fma (/ 1 i) 2 (/ 1 alpha)) (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0))) beta)) (+ (/ (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) (sqr beta)) (* (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)))))
* [misc]backup-simplify:  Simplify (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (+ (* 2 (/ (* (fma (/ 1 i) 2 (/ 1 alpha)) (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0))) beta)) (+ (/ (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) (sqr beta)) (* (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)))))) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (+ (* 2 (/ (* (fma (/ 1 i) 2 (/ 1 alpha)) (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0))) beta)) (+ (/ (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) (sqr beta)) (* (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0))))))
* [misc]taylor:  Taking taylor expansion of (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* beta (* (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (* beta (* (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (* (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) in alpha
* [misc]backup-simplify:  Simplify (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) into (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0))
* [misc]taylor:  Taking taylor expansion of (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) into (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) into (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (* (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) into (* (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (* beta (* (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) into (* beta (* (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))
* [misc]backup-simplify:  Simplify (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* beta (* (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* beta (* (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))))
* [misc]backup-simplify:  Simplify (+ (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (+ (* 2 (/ (* (fma (/ 1 i) 2 (/ 1 alpha)) (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0))) beta)) (+ (/ (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) (sqr beta)) (* (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)))))) 0) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (+ (* 2 (/ (* (fma (/ 1 i) 2 (/ 1 alpha)) (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0))) beta)) (+ (/ (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) (sqr beta)) (* (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0))))))
* [misc]taylor:  Taking taylor expansion of (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (+ (* 2 (/ (* (fma (/ 1 i) 2 (/ 1 alpha)) (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0))) beta)) (+ (/ (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) (sqr beta)) (* (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)))))) in beta
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in beta
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (+ (* 2 (/ (* (fma (/ 1 i) 2 (/ 1 alpha)) (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0))) beta)) (+ (/ (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) (sqr beta)) (* (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0))))) in beta
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* (fma (/ 1 i) 2 (/ 1 alpha)) (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0))) beta)) in beta
* [misc]taylor:  Taking taylor expansion of 2 in beta
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ 1 i) 2 (/ 1 alpha)) (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0))) beta) in beta
* [misc]taylor:  Taking taylor expansion of (* (fma (/ 1 i) 2 (/ 1 alpha)) (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) in beta
* [misc]backup-simplify:  Simplify (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) into (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0))
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) 2 (/ 1 alpha)) (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0))) into (* (fma (/ 1 i) 2 (/ 1 alpha)) (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)))
* [misc]backup-simplify:  Simplify (/ (* (fma (/ 1 i) 2 (/ 1 alpha)) (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0))) 1) into (* (fma (/ 1 i) 2 (/ 1 alpha)) (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)))
* [misc]taylor:  Taking taylor expansion of (+ (/ (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) (sqr beta)) (* (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) (sqr beta)) in beta
* [misc]taylor:  Taking taylor expansion of (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) in beta
* [misc]backup-simplify:  Simplify (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) into (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0))
* [misc]taylor:  Taking taylor expansion of (sqr beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (/ (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) 1) into (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0))
* [misc]taylor:  Taking taylor expansion of (* (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0))) in beta
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ 1 i) 2 (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) in beta
* [misc]backup-simplify:  Simplify (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) into (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0))
* [misc]backup-simplify:  Simplify (+ (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) 0) into (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0))
* [misc]backup-simplify:  Simplify (+ 0 (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0))) into (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0))
* [misc]backup-simplify:  Simplify (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0))) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)))
* [misc]taylor:  Taking taylor expansion of (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) in beta
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in beta
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (* (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) in beta
* [misc]backup-simplify:  Simplify (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) into (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0))
* [misc]taylor:  Taking taylor expansion of (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) 1) into (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0))
* [misc]backup-simplify:  Simplify (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0))) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (+ (* (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (/ 0 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (* (+ (/ 1 (* beta (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (/ 1 (* alpha (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) (/ 0 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (+ (* (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (/ 0 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (* 0 (/ 0 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 0) (+ (* 0 (+ (/ 1 (* beta (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (/ 1 (* alpha (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))) (* 0 (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (fma i (+ beta (+ alpha i)) (* beta alpha))) (+ (* (/ (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) (fma i (+ beta (+ alpha i)) (* beta alpha))) (/ 0 (fma i (+ beta (+ alpha i)) (* beta alpha)))) (* 0 (/ 0 (fma i (+ beta (+ alpha i)) (* beta alpha)))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (/ (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) (fma i (+ beta (+ alpha i)) (* beta alpha)))) (+ (* (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) (/ 0 (/ (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) (fma i (+ beta (+ alpha i)) (* beta alpha))))) (* (+ (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha (* (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))) (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* beta (* (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))))) (/ 0 (/ (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) (fma i (+ beta (+ alpha i)) (* beta alpha))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) 0) (+ (* 0 0) (* 0 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) 0) (+ (* 0 0) (* 0 (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (* (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (+ (* 2 (/ (* (fma (/ 1 i) 2 (/ 1 alpha)) (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0))) beta)) (+ (/ (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) (sqr beta)) (* (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)))))) (+ (* (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (+ (* 2 (/ (* (fma (/ 1 i) 2 (/ 1 alpha)) (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0))) beta)) (+ (/ (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) (sqr beta)) (* (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)))))) (/ 0 (+ (* 2 (/ (* (fma (/ 1 i) 2 (/ 1 alpha)) (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0))) beta)) (+ (/ (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) (sqr beta)) (* (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0))))))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* beta (* (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))))) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* beta (* (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))))
* [misc]taylor:  Taking taylor expansion of (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* beta (* (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))) in beta
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in beta
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (* beta (* (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) in beta
* [misc]backup-simplify:  Simplify (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) into (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0))
* [misc]taylor:  Taking taylor expansion of (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) 1) into (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0))
* [misc]backup-simplify:  Simplify (* 0 (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (fma (/ 1 i) 2 (/ 1 alpha))) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (* 1 (fma (/ 1 i) 2 (/ 1 alpha))) (* (fma (/ 1 i) 2 (/ 1 alpha)) 1)) into (* 2 (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (+ (* (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) (* 2 (fma (/ 1 i) 2 (/ 1 alpha)))) (* 0 1)) into (* 2 (* (fma (/ 1 i) 2 (/ 1 alpha)) (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0))))
* [misc]backup-simplify:  Simplify (+ (* 0 (* 2 (* (fma (/ 1 i) 2 (/ 1 alpha)) (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0))))) (* 1 (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)))) into (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0))
* [misc]backup-simplify:  Simplify (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0))) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)))
* [misc]backup-simplify:  Simplify (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0))) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) 0) (* 0 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) 0) (* 0 (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) (+ (* (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) (/ 0 (* (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0))) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)))
* [misc]backup-simplify:  Simplify (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0))) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)))
* [misc]backup-simplify:  Simplify (+ (* (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0))) (sqr (* (/ 1 beta) (* 1 (/ 1 (/ 1 i)))))) (+ (* (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0))) (* (sqr (/ 1 beta)) (* (/ 1 (/ 1 alpha)) (/ 1 (/ 1 i))))) (* (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0))) (* (/ 1 beta) (* 1 (/ 1 (/ 1 i))))))) into (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (sqr beta) (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)))) (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* beta (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)))) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (* (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) (sqr beta)))))
* [misc]approximate:  Taking taylor expansion of (/ (* (/ (/ 1 (- i)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta)))) (/ (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))))) (/ (fma (fma (/ 1 (/ 1 (- i))) 2 (/ 1 (/ 1 (- alpha)))) (fma (/ 1 (/ 1 (- beta))) 2 (fma (/ 1 (/ 1 (- i))) 2 (/ 1 (/ 1 (- alpha))))) (- (/ 1 (sqr (/ 1 (- beta)))) 1.0)) (fma (/ 1 (/ 1 (- i))) (+ (/ 1 (/ 1 (- beta))) (+ (/ 1 (/ 1 (- alpha))) (/ 1 (/ 1 (- i))))) (/ 1 (* (/ 1 (- beta)) (/ 1 (- alpha))))))) in (i alpha beta) around 0
* [misc]taylor:  Taking taylor expansion of (/ (* (/ (/ 1 (- i)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta)))) (/ (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))))) (/ (fma (fma (/ 1 (/ 1 (- i))) 2 (/ 1 (/ 1 (- alpha)))) (fma (/ 1 (/ 1 (- beta))) 2 (fma (/ 1 (/ 1 (- i))) 2 (/ 1 (/ 1 (- alpha))))) (- (/ 1 (sqr (/ 1 (- beta)))) 1.0)) (fma (/ 1 (/ 1 (- i))) (+ (/ 1 (/ 1 (- beta))) (+ (/ 1 (/ 1 (- alpha))) (/ 1 (/ 1 (- i))))) (/ 1 (* (/ 1 (- beta)) (/ 1 (- alpha))))))) in beta
* [misc]taylor:  Taking taylor expansion of (* (/ (/ 1 (- i)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta)))) (/ (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- i)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in beta
* [misc]taylor:  Taking taylor expansion of (- i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (/ (/ -1 i) -1) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta)))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- alpha)) (/ 1 (- i))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in beta
* [misc]taylor:  Taking taylor expansion of (- i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (/ -1 -1) into 1
* [misc]taylor:  Taking taylor expansion of (/ (fma (fma (/ 1 (/ 1 (- i))) 2 (/ 1 (/ 1 (- alpha)))) (fma (/ 1 (/ 1 (- beta))) 2 (fma (/ 1 (/ 1 (- i))) 2 (/ 1 (/ 1 (- alpha))))) (- (/ 1 (sqr (/ 1 (- beta)))) 1.0)) (fma (/ 1 (/ 1 (- i))) (+ (/ 1 (/ 1 (- beta))) (+ (/ 1 (/ 1 (- alpha))) (/ 1 (/ 1 (- i))))) (/ 1 (* (/ 1 (- beta)) (/ 1 (- alpha)))))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (fma (/ 1 (/ 1 (- i))) 2 (/ 1 (/ 1 (- alpha)))) (fma (/ 1 (/ 1 (- beta))) 2 (fma (/ 1 (/ 1 (- i))) 2 (/ 1 (/ 1 (- alpha))))) (- (/ 1 (sqr (/ 1 (- beta)))) 1.0)) in beta
* [misc]backup-simplify:  Simplify (fma (fma (/ 1 (/ 1 (- i))) 2 (/ 1 (/ 1 (- alpha)))) (fma (/ 1 (/ 1 (- beta))) 2 (fma (/ 1 (/ 1 (- i))) 2 (/ 1 (/ 1 (- alpha))))) (- (/ 1 (sqr (/ 1 (- beta)))) 1.0)) into (fma (fma (* -1 i) 2 (* -1 alpha)) (fma (* -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (- (sqr beta) 1.0))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (/ 1 (- i))) (+ (/ 1 (/ 1 (- beta))) (+ (/ 1 (/ 1 (- alpha))) (/ 1 (/ 1 (- i))))) (/ 1 (* (/ 1 (- beta)) (/ 1 (- alpha))))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (/ 1 (- i))) (+ (/ 1 (/ 1 (- beta))) (+ (/ 1 (/ 1 (- alpha))) (/ 1 (/ 1 (- i))))) (/ 1 (* (/ 1 (- beta)) (/ 1 (- alpha))))) into (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))
* [misc]backup-simplify:  Simplify (/ (fma (fma (* -1 i) 2 (* -1 alpha)) (fma (* -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (- (sqr beta) 1.0)) (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))) into (/ (fma (fma (* -1 i) 2 (* -1 alpha)) (fma (* -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (- (sqr beta) 1.0)) (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)))
* [misc]backup-simplify:  Simplify (* (/ 1 i) 1) into (/ 1 i)
* [misc]backup-simplify:  Simplify (/ (/ 1 i) (/ (fma (fma (* -1 i) 2 (* -1 alpha)) (fma (* -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (- (sqr beta) 1.0)) (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)))) into (/ (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) (* (fma (fma (* -1 i) 2 (* -1 alpha)) (fma (* -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (- (sqr beta) 1.0)) i))
* [misc]taylor:  Taking taylor expansion of (/ (* (/ (/ 1 (- i)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta)))) (/ (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))))) (/ (fma (fma (/ 1 (/ 1 (- i))) 2 (/ 1 (/ 1 (- alpha)))) (fma (/ 1 (/ 1 (- beta))) 2 (fma (/ 1 (/ 1 (- i))) 2 (/ 1 (/ 1 (- alpha))))) (- (/ 1 (sqr (/ 1 (- beta)))) 1.0)) (fma (/ 1 (/ 1 (- i))) (+ (/ 1 (/ 1 (- beta))) (+ (/ 1 (/ 1 (- alpha))) (/ 1 (/ 1 (- i))))) (/ 1 (* (/ 1 (- beta)) (/ 1 (- alpha))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (/ (/ 1 (- i)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta)))) (/ (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- i)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta)))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in alpha
* [misc]taylor:  Taking taylor expansion of (- i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]backup-simplify:  Simplify (+ (fma (/ -1 i) 2 (/ -1 alpha)) (/ -1 beta)) into (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))
* [misc]backup-simplify:  Simplify (/ (/ -1 i) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) into (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta)))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- alpha)) (/ 1 (- i))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (- alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in alpha
* [misc]taylor:  Taking taylor expansion of (- i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (+ (fma (/ -1 i) 2 (/ -1 alpha)) (/ -1 beta)) into (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))
* [misc]backup-simplify:  Simplify (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) into (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))
* [misc]taylor:  Taking taylor expansion of (/ (fma (fma (/ 1 (/ 1 (- i))) 2 (/ 1 (/ 1 (- alpha)))) (fma (/ 1 (/ 1 (- beta))) 2 (fma (/ 1 (/ 1 (- i))) 2 (/ 1 (/ 1 (- alpha))))) (- (/ 1 (sqr (/ 1 (- beta)))) 1.0)) (fma (/ 1 (/ 1 (- i))) (+ (/ 1 (/ 1 (- beta))) (+ (/ 1 (/ 1 (- alpha))) (/ 1 (/ 1 (- i))))) (/ 1 (* (/ 1 (- beta)) (/ 1 (- alpha)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (fma (/ 1 (/ 1 (- i))) 2 (/ 1 (/ 1 (- alpha)))) (fma (/ 1 (/ 1 (- beta))) 2 (fma (/ 1 (/ 1 (- i))) 2 (/ 1 (/ 1 (- alpha))))) (- (/ 1 (sqr (/ 1 (- beta)))) 1.0)) in alpha
* [misc]backup-simplify:  Simplify (fma (fma (/ 1 (/ 1 (- i))) 2 (/ 1 (/ 1 (- alpha)))) (fma (/ 1 (/ 1 (- beta))) 2 (fma (/ 1 (/ 1 (- i))) 2 (/ 1 (/ 1 (- alpha))))) (- (/ 1 (sqr (/ 1 (- beta)))) 1.0)) into (fma (fma (* -1 i) 2 (* -1 alpha)) (fma (* -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (- (sqr beta) 1.0))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (/ 1 (- i))) (+ (/ 1 (/ 1 (- beta))) (+ (/ 1 (/ 1 (- alpha))) (/ 1 (/ 1 (- i))))) (/ 1 (* (/ 1 (- beta)) (/ 1 (- alpha))))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 (/ 1 (- i))) (+ (/ 1 (/ 1 (- beta))) (+ (/ 1 (/ 1 (- alpha))) (/ 1 (/ 1 (- i))))) (/ 1 (* (/ 1 (- beta)) (/ 1 (- alpha))))) into (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))
* [misc]backup-simplify:  Simplify (/ (fma (fma (* -1 i) 2 (* -1 alpha)) (fma (* -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (- (sqr beta) 1.0)) (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))) into (/ (fma (fma (* -1 i) 2 (* -1 alpha)) (fma (* -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (- (sqr beta) 1.0)) (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)))
* [misc]backup-simplify:  Simplify (* (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i)) (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))) into (/ 1 (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) i))
* [misc]backup-simplify:  Simplify (/ (/ 1 (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) i)) (/ (fma (fma (* -1 i) 2 (* -1 alpha)) (fma (* -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (- (sqr beta) 1.0)) (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)))) into (/ (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* (fma (fma (* -1 i) 2 (* -1 alpha)) (fma (* -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (- (sqr beta) 1.0)) i)))
* [misc]taylor:  Taking taylor expansion of (/ (* (/ (/ 1 (- i)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta)))) (/ (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))))) (/ (fma (fma (/ 1 (/ 1 (- i))) 2 (/ 1 (/ 1 (- alpha)))) (fma (/ 1 (/ 1 (- beta))) 2 (fma (/ 1 (/ 1 (- i))) 2 (/ 1 (/ 1 (- alpha))))) (- (/ 1 (sqr (/ 1 (- beta)))) 1.0)) (fma (/ 1 (/ 1 (- i))) (+ (/ 1 (/ 1 (- beta))) (+ (/ 1 (/ 1 (- alpha))) (/ 1 (/ 1 (- i))))) (/ 1 (* (/ 1 (- beta)) (/ 1 (- alpha))))))) in i
* [misc]taylor:  Taking taylor expansion of (* (/ (/ 1 (- i)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta)))) (/ (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))))) in i
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- i)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta)))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in i
* [misc]taylor:  Taking taylor expansion of (- i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in i
* [misc]taylor:  Taking taylor expansion of (- beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]backup-simplify:  Simplify (+ (fma (/ -1 i) 2 (/ -1 alpha)) (/ -1 beta)) into (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))
* [misc]backup-simplify:  Simplify (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) into (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta)))) in i
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) in i
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- alpha)) (/ 1 (- i))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in i
* [misc]taylor:  Taking taylor expansion of (- alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in i
* [misc]taylor:  Taking taylor expansion of (- i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in i
* [misc]taylor:  Taking taylor expansion of (- beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in i
* [misc]taylor:  Taking taylor expansion of (- beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (+ (fma (/ -1 i) 2 (/ -1 alpha)) (/ -1 beta)) into (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))
* [misc]backup-simplify:  Simplify (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) into (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))
* [misc]taylor:  Taking taylor expansion of (/ (fma (fma (/ 1 (/ 1 (- i))) 2 (/ 1 (/ 1 (- alpha)))) (fma (/ 1 (/ 1 (- beta))) 2 (fma (/ 1 (/ 1 (- i))) 2 (/ 1 (/ 1 (- alpha))))) (- (/ 1 (sqr (/ 1 (- beta)))) 1.0)) (fma (/ 1 (/ 1 (- i))) (+ (/ 1 (/ 1 (- beta))) (+ (/ 1 (/ 1 (- alpha))) (/ 1 (/ 1 (- i))))) (/ 1 (* (/ 1 (- beta)) (/ 1 (- alpha)))))) in i
* [misc]taylor:  Taking taylor expansion of (fma (fma (/ 1 (/ 1 (- i))) 2 (/ 1 (/ 1 (- alpha)))) (fma (/ 1 (/ 1 (- beta))) 2 (fma (/ 1 (/ 1 (- i))) 2 (/ 1 (/ 1 (- alpha))))) (- (/ 1 (sqr (/ 1 (- beta)))) 1.0)) in i
* [misc]backup-simplify:  Simplify (fma (fma (/ 1 (/ 1 (- i))) 2 (/ 1 (/ 1 (- alpha)))) (fma (/ 1 (/ 1 (- beta))) 2 (fma (/ 1 (/ 1 (- i))) 2 (/ 1 (/ 1 (- alpha))))) (- (/ 1 (sqr (/ 1 (- beta)))) 1.0)) into (fma (fma (* -1 i) 2 (* -1 alpha)) (fma (* -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (- (sqr beta) 1.0))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (/ 1 (- i))) (+ (/ 1 (/ 1 (- beta))) (+ (/ 1 (/ 1 (- alpha))) (/ 1 (/ 1 (- i))))) (/ 1 (* (/ 1 (- beta)) (/ 1 (- alpha))))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 (/ 1 (- i))) (+ (/ 1 (/ 1 (- beta))) (+ (/ 1 (/ 1 (- alpha))) (/ 1 (/ 1 (- i))))) (/ 1 (* (/ 1 (- beta)) (/ 1 (- alpha))))) into (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))
* [misc]backup-simplify:  Simplify (/ (fma (fma (* -1 i) 2 (* -1 alpha)) (fma (* -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (- (sqr beta) 1.0)) (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))) into (/ (fma (fma (* -1 i) 2 (* -1 alpha)) (fma (* -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (- (sqr beta) 1.0)) (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)))
* [misc]backup-simplify:  Simplify (* (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))) into (/ 1 (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))
* [misc]backup-simplify:  Simplify (/ (/ 1 (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))) (/ (fma (fma (* -1 i) 2 (* -1 alpha)) (fma (* -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (- (sqr beta) 1.0)) (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)))) into (/ (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (fma (fma (* -1 i) 2 (* -1 alpha)) (fma (* -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (- (sqr beta) 1.0))))
* [misc]taylor:  Taking taylor expansion of (/ (* (/ (/ 1 (- i)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta)))) (/ (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))))) (/ (fma (fma (/ 1 (/ 1 (- i))) 2 (/ 1 (/ 1 (- alpha)))) (fma (/ 1 (/ 1 (- beta))) 2 (fma (/ 1 (/ 1 (- i))) 2 (/ 1 (/ 1 (- alpha))))) (- (/ 1 (sqr (/ 1 (- beta)))) 1.0)) (fma (/ 1 (/ 1 (- i))) (+ (/ 1 (/ 1 (- beta))) (+ (/ 1 (/ 1 (- alpha))) (/ 1 (/ 1 (- i))))) (/ 1 (* (/ 1 (- beta)) (/ 1 (- alpha))))))) in i
* [misc]taylor:  Taking taylor expansion of (* (/ (/ 1 (- i)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta)))) (/ (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))))) in i
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- i)) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta)))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in i
* [misc]taylor:  Taking taylor expansion of (- i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in i
* [misc]taylor:  Taking taylor expansion of (- beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]backup-simplify:  Simplify (+ (fma (/ -1 i) 2 (/ -1 alpha)) (/ -1 beta)) into (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))
* [misc]backup-simplify:  Simplify (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) into (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta)))) in i
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- alpha)) (/ 1 (- i))) (/ 1 (- beta))) in i
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- alpha)) (/ 1 (- i))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in i
* [misc]taylor:  Taking taylor expansion of (- alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in i
* [misc]taylor:  Taking taylor expansion of (- i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in i
* [misc]taylor:  Taking taylor expansion of (- beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in i
* [misc]taylor:  Taking taylor expansion of (- beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (+ (fma (/ -1 i) 2 (/ -1 alpha)) (/ -1 beta)) into (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))
* [misc]backup-simplify:  Simplify (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) into (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))
* [misc]taylor:  Taking taylor expansion of (/ (fma (fma (/ 1 (/ 1 (- i))) 2 (/ 1 (/ 1 (- alpha)))) (fma (/ 1 (/ 1 (- beta))) 2 (fma (/ 1 (/ 1 (- i))) 2 (/ 1 (/ 1 (- alpha))))) (- (/ 1 (sqr (/ 1 (- beta)))) 1.0)) (fma (/ 1 (/ 1 (- i))) (+ (/ 1 (/ 1 (- beta))) (+ (/ 1 (/ 1 (- alpha))) (/ 1 (/ 1 (- i))))) (/ 1 (* (/ 1 (- beta)) (/ 1 (- alpha)))))) in i
* [misc]taylor:  Taking taylor expansion of (fma (fma (/ 1 (/ 1 (- i))) 2 (/ 1 (/ 1 (- alpha)))) (fma (/ 1 (/ 1 (- beta))) 2 (fma (/ 1 (/ 1 (- i))) 2 (/ 1 (/ 1 (- alpha))))) (- (/ 1 (sqr (/ 1 (- beta)))) 1.0)) in i
* [misc]backup-simplify:  Simplify (fma (fma (/ 1 (/ 1 (- i))) 2 (/ 1 (/ 1 (- alpha)))) (fma (/ 1 (/ 1 (- beta))) 2 (fma (/ 1 (/ 1 (- i))) 2 (/ 1 (/ 1 (- alpha))))) (- (/ 1 (sqr (/ 1 (- beta)))) 1.0)) into (fma (fma (* -1 i) 2 (* -1 alpha)) (fma (* -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (- (sqr beta) 1.0))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (/ 1 (- i))) (+ (/ 1 (/ 1 (- beta))) (+ (/ 1 (/ 1 (- alpha))) (/ 1 (/ 1 (- i))))) (/ 1 (* (/ 1 (- beta)) (/ 1 (- alpha))))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 (/ 1 (- i))) (+ (/ 1 (/ 1 (- beta))) (+ (/ 1 (/ 1 (- alpha))) (/ 1 (/ 1 (- i))))) (/ 1 (* (/ 1 (- beta)) (/ 1 (- alpha))))) into (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))
* [misc]backup-simplify:  Simplify (/ (fma (fma (* -1 i) 2 (* -1 alpha)) (fma (* -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (- (sqr beta) 1.0)) (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))) into (/ (fma (fma (* -1 i) 2 (* -1 alpha)) (fma (* -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (- (sqr beta) 1.0)) (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)))
* [misc]backup-simplify:  Simplify (* (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))) into (/ 1 (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))
* [misc]backup-simplify:  Simplify (/ (/ 1 (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))) (/ (fma (fma (* -1 i) 2 (* -1 alpha)) (fma (* -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (- (sqr beta) 1.0)) (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)))) into (/ (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (fma (fma (* -1 i) 2 (* -1 alpha)) (fma (* -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (- (sqr beta) 1.0))))
* [misc]taylor:  Taking taylor expansion of (/ (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (fma (fma (* -1 i) 2 (* -1 alpha)) (fma (* -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (- (sqr beta) 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) into (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (fma (fma (* -1 i) 2 (* -1 alpha)) (fma (* -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (- (sqr beta) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (fma (* -1 i) 2 (* -1 alpha)) (fma (* -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (- (sqr beta) 1.0)) in alpha
* [misc]backup-simplify:  Simplify (fma (fma (* -1 i) 2 (* -1 alpha)) (fma (* -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (- (sqr beta) 1.0)) into (fma (fma (* -1 i) 2 (* -1 alpha)) (fma (* -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (- (sqr beta) 1.0))
* [misc]backup-simplify:  Simplify (- (/ 1 beta)) into (- (/ 1 beta))
* [misc]backup-simplify:  Simplify (+ (fma (/ -1 i) 2 (/ -1 alpha)) (- (/ 1 beta))) into (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))
* [misc]backup-simplify:  Simplify (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) into (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))
* [misc]backup-simplify:  Simplify (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (fma (fma (* -1 i) 2 (* -1 alpha)) (fma (* -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (- (sqr beta) 1.0))) into (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (fma (fma (* -1 i) 2 (* -1 alpha)) (fma (* -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (- (sqr beta) 1.0)))
* [misc]backup-simplify:  Simplify (/ (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (fma (fma (* -1 i) 2 (* -1 alpha)) (fma (* -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (- (sqr beta) 1.0)))) into (/ (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (fma (fma (* -1 i) 2 (* -1 alpha)) (fma (* -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (- (sqr beta) 1.0))))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (/ -1 alpha) 0) into (- (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (- (/ 1 alpha)) (/ -1 beta)) into (- (+ (/ 1 beta) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 beta) (/ 0 (- beta))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ (- (+ (/ 1 beta) (/ 1 alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (+ (* (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (/ 0 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))) into (- (+ (/ 1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) alpha)) (/ 1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) beta))))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 beta) (/ 0 (- beta))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (+ (* (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (/ 0 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (- (+ (/ 1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) alpha)) (/ 1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) beta))))) (* 0 (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) into (+ (/ 1 (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) alpha)) (/ 1 (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) beta)))
* [misc]backup-simplify:  Simplify (- (/ 0 (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))) (+ (* (/ (fma (fma (* -1 i) 2 (* -1 alpha)) (fma (* -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (- (sqr beta) 1.0)) (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))) (/ 0 (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)))))) into 0
* [misc]backup-simplify:  Simplify (- (/ (+ (/ 1 (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) alpha)) (/ 1 (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) beta))) (/ (fma (fma (* -1 i) 2 (* -1 alpha)) (fma (* -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (- (sqr beta) 1.0)) (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)))) (+ (* (/ (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (fma (fma (* -1 i) 2 (* -1 alpha)) (fma (* -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (- (sqr beta) 1.0)))) (/ 0 (/ (fma (fma (* -1 i) 2 (* -1 alpha)) (fma (* -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (- (sqr beta) 1.0)) (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))))))) into (+ (/ (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* beta (fma (fma (* -1 i) 2 (* -1 alpha)) (fma (* -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (- (sqr beta) 1.0))))) (/ (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* alpha (fma (fma (* -1 i) 2 (* -1 alpha)) (fma (* -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (- (sqr beta) 1.0))))))
* [misc]taylor:  Taking taylor expansion of (+ (/ (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* beta (fma (fma (* -1 i) 2 (* -1 alpha)) (fma (* -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (- (sqr beta) 1.0))))) (/ (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* alpha (fma (fma (* -1 i) 2 (* -1 alpha)) (fma (* -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (- (sqr beta) 1.0)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* beta (fma (fma (* -1 i) 2 (* -1 alpha)) (fma (* -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (- (sqr beta) 1.0))))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) into (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* beta (fma (fma (* -1 i) 2 (* -1 alpha)) (fma (* -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (- (sqr beta) 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (* beta (fma (fma (* -1 i) 2 (* -1 alpha)) (fma (* -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (- (sqr beta) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (fma (fma (* -1 i) 2 (* -1 alpha)) (fma (* -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (- (sqr beta) 1.0)) in alpha
* [misc]backup-simplify:  Simplify (fma (fma (* -1 i) 2 (* -1 alpha)) (fma (* -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (- (sqr beta) 1.0)) into (fma (fma (* -1 i) 2 (* -1 alpha)) (fma (* -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (- (sqr beta) 1.0))
* [misc]backup-simplify:  Simplify (- (/ 1 beta)) into (- (/ 1 beta))
* [misc]backup-simplify:  Simplify (+ (fma (/ -1 i) 2 (/ -1 alpha)) (- (/ 1 beta))) into (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))
* [misc]backup-simplify:  Simplify (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) into (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))
* [misc]backup-simplify:  Simplify (* beta (fma (fma (* -1 i) 2 (* -1 alpha)) (fma (* -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (- (sqr beta) 1.0))) into (* beta (fma (fma (* -1 i) 2 (* -1 alpha)) (fma (* -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (- (sqr beta) 1.0)))
* [misc]backup-simplify:  Simplify (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* beta (fma (fma (* -1 i) 2 (* -1 alpha)) (fma (* -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (- (sqr beta) 1.0)))) into (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* beta (fma (fma (* -1 i) 2 (* -1 alpha)) (fma (* -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (- (sqr beta) 1.0))))
* [misc]backup-simplify:  Simplify (/ (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* beta (fma (fma (* -1 i) 2 (* -1 alpha)) (fma (* -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (- (sqr beta) 1.0))))) into (/ (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* beta (fma (fma (* -1 i) 2 (* -1 alpha)) (fma (* -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (- (sqr beta) 1.0)))))
* [misc]taylor:  Taking taylor expansion of (/ (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* alpha (fma (fma (* -1 i) 2 (* -1 alpha)) (fma (* -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (- (sqr beta) 1.0))))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) into (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* alpha (fma (fma (* -1 i) 2 (* -1 alpha)) (fma (* -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (- (sqr beta) 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (* alpha (fma (fma (* -1 i) 2 (* -1 alpha)) (fma (* -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (- (sqr beta) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma (fma (* -1 i) 2 (* -1 alpha)) (fma (* -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (- (sqr beta) 1.0)) in alpha
* [misc]backup-simplify:  Simplify (fma (fma (* -1 i) 2 (* -1 alpha)) (fma (* -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (- (sqr beta) 1.0)) into (fma (fma (* -1 i) 2 (* -1 alpha)) (fma (* -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (- (sqr beta) 1.0))
* [misc]backup-simplify:  Simplify (- (/ 1 beta)) into (- (/ 1 beta))
* [misc]backup-simplify:  Simplify (+ (fma (/ -1 i) 2 (/ -1 alpha)) (- (/ 1 beta))) into (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))
* [misc]backup-simplify:  Simplify (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) into (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))
* [misc]backup-simplify:  Simplify (* 0 (fma (fma (* -1 i) 2 (* -1 alpha)) (fma (* -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (- (sqr beta) 1.0))) into 0
* [misc]backup-simplify:  Simplify (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 (fma (fma (* -1 i) 2 (* -1 alpha)) (fma (* -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (- (sqr beta) 1.0)))) into (fma (fma (* -1 i) 2 (* -1 alpha)) (fma (* -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (- (sqr beta) 1.0))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) 0) (* 0 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (fma (fma (* -1 i) 2 (* -1 alpha)) (fma (* -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (- (sqr beta) 1.0))) (* 0 0)) into (- (+ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (fma (* -1 i) 2 (* -1 alpha)) (fma (* -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (- (sqr beta) 1.0))) (/ (fma (fma (* -1 i) 2 (* -1 alpha)) (fma (* -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (- (sqr beta) 1.0)) (sqr beta))) (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (fma (* -1 i) 2 (* -1 alpha)) (fma (* -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (- (sqr beta) 1.0))) beta)))
* [misc]backup-simplify:  Simplify (/ (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) (- (+ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (fma (* -1 i) 2 (* -1 alpha)) (fma (* -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (- (sqr beta) 1.0))) (/ (fma (fma (* -1 i) 2 (* -1 alpha)) (fma (* -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (- (sqr beta) 1.0)) (sqr beta))) (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (fma (* -1 i) 2 (* -1 alpha)) (fma (* -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (- (sqr beta) 1.0))) beta)))) into (/ (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) (- (+ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (fma (* -1 i) 2 (* -1 alpha)) (fma (* -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (- (sqr beta) 1.0))) (/ (fma (fma (* -1 i) 2 (* -1 alpha)) (fma (* -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (- (sqr beta) 1.0)) (sqr beta))) (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (fma (* -1 i) 2 (* -1 alpha)) (fma (* -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (- (sqr beta) 1.0))) beta))))
* [misc]backup-simplify:  Simplify (+ 0 (/ (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) (- (+ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (fma (* -1 i) 2 (* -1 alpha)) (fma (* -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (- (sqr beta) 1.0))) (/ (fma (fma (* -1 i) 2 (* -1 alpha)) (fma (* -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (- (sqr beta) 1.0)) (sqr beta))) (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (fma (* -1 i) 2 (* -1 alpha)) (fma (* -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (- (sqr beta) 1.0))) beta))))) into (/ (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) (- (+ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (fma (* -1 i) 2 (* -1 alpha)) (fma (* -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (- (sqr beta) 1.0))) (/ (fma (fma (* -1 i) 2 (* -1 alpha)) (fma (* -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (- (sqr beta) 1.0)) (sqr beta))) (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (fma (* -1 i) 2 (* -1 alpha)) (fma (* -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (- (sqr beta) 1.0))) beta))))
* [misc]taylor:  Taking taylor expansion of (/ (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) (- (+ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (fma (* -1 i) 2 (* -1 alpha)) (fma (* -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (- (sqr beta) 1.0))) (/ (fma (fma (* -1 i) 2 (* -1 alpha)) (fma (* -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (- (sqr beta) 1.0)) (sqr beta))) (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (fma (* -1 i) 2 (* -1 alpha)) (fma (* -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (- (sqr beta) 1.0))) beta)))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) in beta
* [misc]backup-simplify:  Simplify (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) into (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (- (+ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (fma (* -1 i) 2 (* -1 alpha)) (fma (* -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (- (sqr beta) 1.0))) (/ (fma (fma (* -1 i) 2 (* -1 alpha)) (fma (* -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (- (sqr beta) 1.0)) (sqr beta))) (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (fma (* -1 i) 2 (* -1 alpha)) (fma (* -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (- (sqr beta) 1.0))) beta))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (fma (* -1 i) 2 (* -1 alpha)) (fma (* -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (- (sqr beta) 1.0))) (/ (fma (fma (* -1 i) 2 (* -1 alpha)) (fma (* -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (- (sqr beta) 1.0)) (sqr beta))) in beta
* [misc]taylor:  Taking taylor expansion of (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (fma (* -1 i) 2 (* -1 alpha)) (fma (* -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (- (sqr beta) 1.0))) in beta
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ -1 i) 2 (/ -1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in beta
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (fma (fma (* -1 i) 2 (* -1 alpha)) (fma (* -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (- (sqr beta) 1.0)) in beta
* [misc]backup-simplify:  Simplify (fma (fma (* -1 i) 2 (* -1 alpha)) (fma (* -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (- (sqr beta) 1.0)) into (fma (fma (* -1 i) 2 (* -1 alpha)) (fma (* -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (- (sqr beta) 1.0))
* [misc]taylor:  Taking taylor expansion of (/ (fma (fma (* -1 i) 2 (* -1 alpha)) (fma (* -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (- (sqr beta) 1.0)) (sqr beta)) in beta
* [misc]taylor:  Taking taylor expansion of (fma (fma (* -1 i) 2 (* -1 alpha)) (fma (* -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (- (sqr beta) 1.0)) in beta
* [misc]backup-simplify:  Simplify (fma (fma (* -1 i) 2 (* -1 alpha)) (fma (* -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (- (sqr beta) 1.0)) into (fma (fma (* -1 i) 2 (* -1 alpha)) (fma (* -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (- (sqr beta) 1.0))
* [misc]taylor:  Taking taylor expansion of (sqr beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (/ (fma (fma (* -1 i) 2 (* -1 alpha)) (fma (* -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (- (sqr beta) 1.0)) 1) into (fma (fma (* -1 i) 2 (* -1 alpha)) (fma (* -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (- (sqr beta) 1.0))
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (fma (* -1 i) 2 (* -1 alpha)) (fma (* -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (- (sqr beta) 1.0))) beta)) in beta
* [misc]taylor:  Taking taylor expansion of 2 in beta
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (fma (* -1 i) 2 (* -1 alpha)) (fma (* -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (- (sqr beta) 1.0))) beta) in beta
* [misc]taylor:  Taking taylor expansion of (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (fma (* -1 i) 2 (* -1 alpha)) (fma (* -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (- (sqr beta) 1.0))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in beta
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (fma (fma (* -1 i) 2 (* -1 alpha)) (fma (* -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (- (sqr beta) 1.0)) in beta
* [misc]backup-simplify:  Simplify (fma (fma (* -1 i) 2 (* -1 alpha)) (fma (* -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (- (sqr beta) 1.0)) into (fma (fma (* -1 i) 2 (* -1 alpha)) (fma (* -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (- (sqr beta) 1.0))
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (fma (* -1 i) 2 (* -1 alpha)) (fma (* -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (- (sqr beta) 1.0))) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (fma (* -1 i) 2 (* -1 alpha)) (fma (* -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (- (sqr beta) 1.0)))
* [misc]backup-simplify:  Simplify (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (fma (* -1 i) 2 (* -1 alpha)) (fma (* -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (- (sqr beta) 1.0))) 1) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (fma (* -1 i) 2 (* -1 alpha)) (fma (* -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (- (sqr beta) 1.0)))
* [misc]backup-simplify:  Simplify (+ 0 (fma (fma (* -1 i) 2 (* -1 alpha)) (fma (* -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (- (sqr beta) 1.0))) into (fma (fma (* -1 i) 2 (* -1 alpha)) (fma (* -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (- (sqr beta) 1.0))
* [misc]backup-simplify:  Simplify (+ (fma (fma (* -1 i) 2 (* -1 alpha)) (fma (* -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (- (sqr beta) 1.0)) 0) into (fma (fma (* -1 i) 2 (* -1 alpha)) (fma (* -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (- (sqr beta) 1.0))
* [misc]backup-simplify:  Simplify (/ (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) (fma (fma (* -1 i) 2 (* -1 alpha)) (fma (* -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (- (sqr beta) 1.0))) into (/ (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) (fma (fma (* -1 i) 2 (* -1 alpha)) (fma (* -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (- (sqr beta) 1.0)))
* [misc]taylor:  Taking taylor expansion of (/ (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (fma (fma (* -1 i) 2 (* -1 alpha)) (fma (* -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (- (sqr beta) 1.0)))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) in beta
* [misc]backup-simplify:  Simplify (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) into (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (fma (fma (* -1 i) 2 (* -1 alpha)) (fma (* -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (- (sqr beta) 1.0))) in beta
* [misc]taylor:  Taking taylor expansion of (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) in beta
* [misc]taylor:  Taking taylor expansion of (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in beta
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (fma (fma (* -1 i) 2 (* -1 alpha)) (fma (* -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (- (sqr beta) 1.0)) in beta
* [misc]backup-simplify:  Simplify (fma (fma (* -1 i) 2 (* -1 alpha)) (fma (* -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (- (sqr beta) 1.0)) into (fma (fma (* -1 i) 2 (* -1 alpha)) (fma (* -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (- (sqr beta) 1.0))
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (* 1 (fma (fma (* -1 i) 2 (* -1 alpha)) (fma (* -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (- (sqr beta) 1.0))) into (fma (fma (* -1 i) 2 (* -1 alpha)) (fma (* -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (- (sqr beta) 1.0))
* [misc]backup-simplify:  Simplify (/ (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) (fma (fma (* -1 i) 2 (* -1 alpha)) (fma (* -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (- (sqr beta) 1.0))) into (/ (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) (fma (fma (* -1 i) 2 (* -1 alpha)) (fma (* -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (- (sqr beta) 1.0)))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 alpha) (/ 0 (- alpha))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 beta) (/ 0 (- beta))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 beta) (/ 0 (- beta))) (* 0 (/ 0 (- beta))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (+ (* (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (/ 0 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))) (* (- (+ (/ 1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) alpha)) (/ 1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) beta)))) (/ 0 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 beta) (/ 0 (- beta))) (* 0 (/ 0 (- beta))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (+ (* (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (/ 0 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))) (* 0 (/ 0 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) 0) (+ (* 0 (- (+ (/ 1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) alpha)) (/ 1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) beta))))) (* 0 (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))) (+ (* (/ (fma (fma (* -1 i) 2 (* -1 alpha)) (fma (* -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (- (sqr beta) 1.0)) (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))) (/ 0 (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)))) (* 0 (/ 0 (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (/ (fma (fma (* -1 i) 2 (* -1 alpha)) (fma (* -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (- (sqr beta) 1.0)) (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)))) (+ (* (/ (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (fma (fma (* -1 i) 2 (* -1 alpha)) (fma (* -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (- (sqr beta) 1.0)))) (/ 0 (/ (fma (fma (* -1 i) 2 (* -1 alpha)) (fma (* -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (- (sqr beta) 1.0)) (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))))) (* (+ (/ (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* beta (fma (fma (* -1 i) 2 (* -1 alpha)) (fma (* -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (- (sqr beta) 1.0))))) (/ (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* alpha (fma (fma (* -1 i) 2 (* -1 alpha)) (fma (* -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (- (sqr beta) 1.0)))))) (/ 0 (/ (fma (fma (* -1 i) 2 (* -1 alpha)) (fma (* -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (- (sqr beta) 1.0)) (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (fma (fma (* -1 i) 2 (* -1 alpha)) (fma (* -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (- (sqr beta) 1.0))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) 0) (+ (* 0 0) (* 0 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) 0) (+ (* 0 (fma (fma (* -1 i) 2 (* -1 alpha)) (fma (* -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (- (sqr beta) 1.0))) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (- (+ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (fma (* -1 i) 2 (* -1 alpha)) (fma (* -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (- (sqr beta) 1.0))) (/ (fma (fma (* -1 i) 2 (* -1 alpha)) (fma (* -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (- (sqr beta) 1.0)) (sqr beta))) (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (fma (* -1 i) 2 (* -1 alpha)) (fma (* -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (- (sqr beta) 1.0))) beta)))) (+ (* (/ (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) (- (+ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (fma (* -1 i) 2 (* -1 alpha)) (fma (* -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (- (sqr beta) 1.0))) (/ (fma (fma (* -1 i) 2 (* -1 alpha)) (fma (* -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (- (sqr beta) 1.0)) (sqr beta))) (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (fma (* -1 i) 2 (* -1 alpha)) (fma (* -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (- (sqr beta) 1.0))) beta)))) (/ 0 (- (+ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (fma (* -1 i) 2 (* -1 alpha)) (fma (* -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (- (sqr beta) 1.0))) (/ (fma (fma (* -1 i) 2 (* -1 alpha)) (fma (* -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (- (sqr beta) 1.0)) (sqr beta))) (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (fma (* -1 i) 2 (* -1 alpha)) (fma (* -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (- (sqr beta) 1.0))) beta))))))) into 0
* [misc]backup-simplify:  Simplify (+ (/ (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* beta (fma (fma (* -1 i) 2 (* -1 alpha)) (fma (* -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (- (sqr beta) 1.0))))) 0) into (/ (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* beta (fma (fma (* -1 i) 2 (* -1 alpha)) (fma (* -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (- (sqr beta) 1.0)))))
* [misc]taylor:  Taking taylor expansion of (/ (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* beta (fma (fma (* -1 i) 2 (* -1 alpha)) (fma (* -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (- (sqr beta) 1.0))))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) in beta
* [misc]backup-simplify:  Simplify (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) into (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* beta (fma (fma (* -1 i) 2 (* -1 alpha)) (fma (* -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (- (sqr beta) 1.0)))) in beta
* [misc]taylor:  Taking taylor expansion of (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) in beta
* [misc]taylor:  Taking taylor expansion of (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in beta
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (* beta (fma (fma (* -1 i) 2 (* -1 alpha)) (fma (* -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (- (sqr beta) 1.0))) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma (fma (* -1 i) 2 (* -1 alpha)) (fma (* -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (- (sqr beta) 1.0)) in beta
* [misc]backup-simplify:  Simplify (fma (fma (* -1 i) 2 (* -1 alpha)) (fma (* -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (- (sqr beta) 1.0)) into (fma (fma (* -1 i) 2 (* -1 alpha)) (fma (* -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (- (sqr beta) 1.0))
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (* 0 (fma (fma (* -1 i) 2 (* -1 alpha)) (fma (* -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (- (sqr beta) 1.0))) into 0
* [misc]backup-simplify:  Simplify (* 1 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 (fma (fma (* -1 i) 2 (* -1 alpha)) (fma (* -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (- (sqr beta) 1.0)))) into (fma (fma (* -1 i) 2 (* -1 alpha)) (fma (* -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (- (sqr beta) 1.0))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (fma (/ -1 i) 2 (/ -1 alpha)) 0) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (+ (* -1 (fma (/ -1 i) 2 (/ -1 alpha))) (* (fma (/ -1 i) 2 (/ -1 alpha)) -1)) into (- (* 2 (fma (/ -1 i) 2 (/ -1 alpha))))
* [misc]backup-simplify:  Simplify (+ (* 1 (fma (fma (* -1 i) 2 (* -1 alpha)) (fma (* -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (- (sqr beta) 1.0))) (* (- (* 2 (fma (/ -1 i) 2 (/ -1 alpha)))) 0)) into (fma (fma (* -1 i) 2 (* -1 alpha)) (fma (* -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (- (sqr beta) 1.0))
* [misc]backup-simplify:  Simplify (/ (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) (fma (fma (* -1 i) 2 (* -1 alpha)) (fma (* -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (- (sqr beta) 1.0))) into (/ (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) (fma (fma (* -1 i) 2 (* -1 alpha)) (fma (* -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (- (sqr beta) 1.0)))
* [misc]backup-simplify:  Simplify (/ (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) (fma (fma (* -1 i) 2 (* -1 alpha)) (fma (* -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (- (sqr beta) 1.0))) into (/ (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) (fma (fma (* -1 i) 2 (* -1 alpha)) (fma (* -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (- (sqr beta) 1.0)))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) 0) (* 0 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) 0) (* 0 (fma (fma (* -1 i) 2 (* -1 alpha)) (fma (* -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (- (sqr beta) 1.0)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (fma (fma (* -1 i) 2 (* -1 alpha)) (fma (* -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (- (sqr beta) 1.0)))) (+ (* (/ (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (fma (fma (* -1 i) 2 (* -1 alpha)) (fma (* -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (- (sqr beta) 1.0)))) (/ 0 (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (fma (fma (* -1 i) 2 (* -1 alpha)) (fma (* -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (- (sqr beta) 1.0))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) (fma (fma (* -1 i) 2 (* -1 alpha)) (fma (* -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (- (sqr beta) 1.0))) into (/ (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) (fma (fma (* -1 i) 2 (* -1 alpha)) (fma (* -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (- (sqr beta) 1.0)))
* [misc]backup-simplify:  Simplify (/ (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) (fma (fma (* -1 i) 2 (* -1 alpha)) (fma (* -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (- (sqr beta) 1.0))) into (/ (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) (fma (fma (* -1 i) 2 (* -1 alpha)) (fma (* -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (- (sqr beta) 1.0)))
* [misc]backup-simplify:  Simplify (+ (* (/ (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) (fma (fma (* -1 i) 2 (* -1 alpha)) (fma (* -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (- (sqr beta) 1.0))) (sqr (* (/ 1 (- beta)) (* 1 (/ 1 (/ 1 (- i))))))) (+ (* (/ (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) (fma (fma (* -1 i) 2 (* -1 alpha)) (fma (* -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (- (sqr beta) 1.0))) (* (sqr (/ 1 (- beta))) (* (/ 1 (/ 1 (- alpha))) (/ 1 (/ 1 (- i)))))) (* (/ (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) (fma (fma (* -1 i) 2 (* -1 alpha)) (fma (* -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (- (sqr beta) 1.0))) (* (/ 1 (- beta)) (* 1 (/ 1 (/ 1 (- i)))))))) into (+ (/ (* (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) (* alpha i)) (* (fma (fma (* -1 i) 2 (* -1 alpha)) (fma (* -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (- (sqr beta) 1.0)) (sqr beta))) (+ (/ (* (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) i) (* beta (fma (fma (* -1 i) 2 (* -1 alpha)) (fma (* -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (- (sqr beta) 1.0)))) (/ (* (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) (sqr i)) (* (sqr beta) (fma (fma (* -1 i) 2 (* -1 alpha)) (fma (* -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (- (sqr beta) 1.0))))))
* [misc]approximate:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))) in (i beta alpha) around 0
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha)))
* [misc]approximate:  Taking taylor expansion of (fma (/ 1 (/ 1 i)) (+ (/ 1 (/ 1 beta)) (+ (/ 1 (/ 1 alpha)) (/ 1 (/ 1 i)))) (/ 1 (* (/ 1 beta) (/ 1 alpha)))) in (i beta alpha) around 0
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (/ 1 i)) (+ (/ 1 (/ 1 beta)) (+ (/ 1 (/ 1 alpha)) (/ 1 (/ 1 i)))) (/ 1 (* (/ 1 beta) (/ 1 alpha)))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 (/ 1 i)) (+ (/ 1 (/ 1 beta)) (+ (/ 1 (/ 1 alpha)) (/ 1 (/ 1 i)))) (/ 1 (* (/ 1 beta) (/ 1 alpha)))) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (/ 1 i)) (+ (/ 1 (/ 1 beta)) (+ (/ 1 (/ 1 alpha)) (/ 1 (/ 1 i)))) (/ 1 (* (/ 1 beta) (/ 1 alpha)))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (/ 1 i)) (+ (/ 1 (/ 1 beta)) (+ (/ 1 (/ 1 alpha)) (/ 1 (/ 1 i)))) (/ 1 (* (/ 1 beta) (/ 1 alpha)))) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (/ 1 i)) (+ (/ 1 (/ 1 beta)) (+ (/ 1 (/ 1 alpha)) (/ 1 (/ 1 i)))) (/ 1 (* (/ 1 beta) (/ 1 alpha)))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 (/ 1 i)) (+ (/ 1 (/ 1 beta)) (+ (/ 1 (/ 1 alpha)) (/ 1 (/ 1 i)))) (/ 1 (* (/ 1 beta) (/ 1 alpha)))) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (/ 1 i)) (+ (/ 1 (/ 1 beta)) (+ (/ 1 (/ 1 alpha)) (/ 1 (/ 1 i)))) (/ 1 (* (/ 1 beta) (/ 1 alpha)))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 (/ 1 i)) (+ (/ 1 (/ 1 beta)) (+ (/ 1 (/ 1 alpha)) (/ 1 (/ 1 i)))) (/ 1 (* (/ 1 beta) (/ 1 alpha)))) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in beta
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]approximate:  Taking taylor expansion of (fma (/ 1 (/ 1 (- i))) (+ (/ 1 (/ 1 (- beta))) (+ (/ 1 (/ 1 (- alpha))) (/ 1 (/ 1 (- i))))) (/ 1 (* (/ 1 (- beta)) (/ 1 (- alpha))))) in (i beta alpha) around 0
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (/ 1 (- i))) (+ (/ 1 (/ 1 (- beta))) (+ (/ 1 (/ 1 (- alpha))) (/ 1 (/ 1 (- i))))) (/ 1 (* (/ 1 (- beta)) (/ 1 (- alpha))))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 (/ 1 (- i))) (+ (/ 1 (/ 1 (- beta))) (+ (/ 1 (/ 1 (- alpha))) (/ 1 (/ 1 (- i))))) (/ 1 (* (/ 1 (- beta)) (/ 1 (- alpha))))) into (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (/ 1 (- i))) (+ (/ 1 (/ 1 (- beta))) (+ (/ 1 (/ 1 (- alpha))) (/ 1 (/ 1 (- i))))) (/ 1 (* (/ 1 (- beta)) (/ 1 (- alpha))))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (/ 1 (- i))) (+ (/ 1 (/ 1 (- beta))) (+ (/ 1 (/ 1 (- alpha))) (/ 1 (/ 1 (- i))))) (/ 1 (* (/ 1 (- beta)) (/ 1 (- alpha))))) into (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (/ 1 (- i))) (+ (/ 1 (/ 1 (- beta))) (+ (/ 1 (/ 1 (- alpha))) (/ 1 (/ 1 (- i))))) (/ 1 (* (/ 1 (- beta)) (/ 1 (- alpha))))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 (/ 1 (- i))) (+ (/ 1 (/ 1 (- beta))) (+ (/ 1 (/ 1 (- alpha))) (/ 1 (/ 1 (- i))))) (/ 1 (* (/ 1 (- beta)) (/ 1 (- alpha))))) into (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (/ 1 (- i))) (+ (/ 1 (/ 1 (- beta))) (+ (/ 1 (/ 1 (- alpha))) (/ 1 (/ 1 (- i))))) (/ 1 (* (/ 1 (- beta)) (/ 1 (- alpha))))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 (/ 1 (- i))) (+ (/ 1 (/ 1 (- beta))) (+ (/ 1 (/ 1 (- alpha))) (/ 1 (/ 1 (- i))))) (/ 1 (* (/ 1 (- beta)) (/ 1 (- alpha))))) into (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) in beta
* [misc]backup-simplify:  Simplify (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) into (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) into (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))
* [misc]backup-simplify:  Simplify (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) into (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) into (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))
* [misc]approximate:  Taking taylor expansion of (/ 1 (* beta alpha)) in (beta alpha) around 0
* [misc]taylor:  Taking taylor expansion of (/ 1 (* beta alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (* beta alpha) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 (* beta alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (* beta alpha) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (* 0 alpha) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 alpha)) into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 (* beta alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (* beta alpha) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (* 0 alpha) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 alpha)) into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (* 0 alpha))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)) (* 0 (/ 0 alpha)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 alpha))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)) (* 0 (/ 0 alpha)) (* 0 (/ 0 alpha)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* 1 (* (/ 1 alpha) (/ 1 beta))) into (/ 1 (* beta alpha))
* [misc]approximate:  Taking taylor expansion of (/ 1 (* (/ 1 beta) (/ 1 alpha))) in (beta alpha) around 0
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (/ 1 beta) (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (/ 1 beta) (/ 1 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (* (/ 1 beta) 1) into (/ 1 beta)
* [misc]backup-simplify:  Simplify (/ 1 (/ 1 beta)) into beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (/ 1 beta) (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (* (/ 1 beta) (/ 1 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]backup-simplify:  Simplify (* 1 (/ 1 alpha)) into (/ 1 alpha)
* [misc]backup-simplify:  Simplify (/ 1 (/ 1 alpha)) into alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (/ 1 beta) (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (* (/ 1 beta) (/ 1 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]backup-simplify:  Simplify (* 1 (/ 1 alpha)) into (/ 1 alpha)
* [misc]backup-simplify:  Simplify (/ 1 (/ 1 alpha)) into alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 (/ 1 alpha))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* alpha (/ 0 (/ 1 alpha))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)) (* 0 (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (/ 1 alpha)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* alpha (/ 0 (/ 1 alpha))) (* 0 (/ 0 (/ 1 alpha))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)) (* 0 (/ 0 alpha)) (* 0 (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 alpha))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* alpha (/ 0 (/ 1 alpha))) (* 0 (/ 0 (/ 1 alpha))) (* 0 (/ 0 (/ 1 alpha))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* 1 (* (/ 1 alpha) (/ 1 beta))) into (/ 1 (* beta alpha))
* [misc]approximate:  Taking taylor expansion of (/ 1 (* (/ 1 (- beta)) (/ 1 (- alpha)))) in (beta alpha) around 0
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (/ 1 (- beta)) (/ 1 (- alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- beta)) (/ 1 (- alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (- alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (* (/ -1 beta) -1) into (/ 1 beta)
* [misc]backup-simplify:  Simplify (/ 1 (/ 1 beta)) into beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (/ 1 (- beta)) (/ 1 (- alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- beta)) (/ 1 (- alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]backup-simplify:  Simplify (* -1 (/ -1 alpha)) into (/ 1 alpha)
* [misc]backup-simplify:  Simplify (/ 1 (/ 1 alpha)) into alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (/ 1 (- beta)) (/ 1 (- alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- beta)) (/ 1 (- alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]backup-simplify:  Simplify (* -1 (/ -1 alpha)) into (/ 1 alpha)
* [misc]backup-simplify:  Simplify (/ 1 (/ 1 alpha)) into alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 alpha) (/ 0 (- alpha))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* 0 (/ -1 alpha))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* alpha (/ 0 (/ 1 alpha))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 alpha) (/ 0 (- alpha))) (* 0 (/ 0 (- alpha))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ -1 alpha)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* alpha (/ 0 (/ 1 alpha))) (* 0 (/ 0 (/ 1 alpha))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 alpha) (/ 0 (- alpha))) (* 0 (/ 0 (- alpha))) (* 0 (/ 0 (- alpha))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 alpha))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* alpha (/ 0 (/ 1 alpha))) (* 0 (/ 0 (/ 1 alpha))) (* 0 (/ 0 (/ 1 alpha))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* 1 (* (/ 1 (- alpha)) (/ 1 (- beta)))) into (/ 1 (* beta alpha))
* * * [misc]progress:  tayloring alt 10 of 10
* [misc]approximate:  Taking taylor expansion of (/ (+ (+ beta alpha) i) (- (sqr beta) (sqr (fma i 2 alpha)))) in (beta alpha i) around 0
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ beta alpha) i) (- (sqr beta) (sqr (fma i 2 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (+ (+ beta alpha) i) in i
* [misc]taylor:  Taking taylor expansion of (+ beta alpha) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (- (sqr beta) (sqr (fma i 2 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (sqr beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ beta alpha) into (+ beta alpha)
* [misc]backup-simplify:  Simplify (+ (+ beta alpha) 0) into (+ beta alpha)
* [misc]backup-simplify:  Simplify (* beta beta) into (sqr beta)
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- (sqr (fma i 2 alpha))) into (- (sqr (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (+ (sqr beta) (- (sqr (fma i 2 alpha)))) into (- (sqr beta) (sqr (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (/ (+ beta alpha) (- (sqr beta) (sqr (fma i 2 alpha)))) into (/ (+ beta alpha) (- (sqr beta) (sqr (fma i 2 alpha))))
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ beta alpha) i) (- (sqr beta) (sqr (fma i 2 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ beta alpha) i) in alpha
* [misc]taylor:  Taking taylor expansion of (+ beta alpha) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (- (sqr beta) (sqr (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (+ beta i) into (+ beta i)
* [misc]backup-simplify:  Simplify (* beta beta) into (sqr beta)
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- (sqr (fma i 2 alpha))) into (- (sqr (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (+ (sqr beta) (- (sqr (fma i 2 alpha)))) into (- (sqr beta) (sqr (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (/ (+ beta i) (- (sqr beta) (sqr (fma i 2 alpha)))) into (/ (+ beta i) (- (sqr beta) (sqr (fma i 2 alpha))))
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ beta alpha) i) (- (sqr beta) (sqr (fma i 2 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ beta alpha) i) in beta
* [misc]taylor:  Taking taylor expansion of (+ beta alpha) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (- (sqr beta) (sqr (fma i 2 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (sqr beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in beta
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ 0 alpha) into alpha
* [misc]backup-simplify:  Simplify (+ alpha i) into (+ alpha i)
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- (sqr (fma i 2 alpha))) into (- (sqr (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (+ 0 (- (sqr (fma i 2 alpha)))) into (- (sqr (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (/ (+ alpha i) (- (sqr (fma i 2 alpha)))) into (* -1 (/ (+ alpha i) (sqr (fma i 2 alpha))))
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ beta alpha) i) (- (sqr beta) (sqr (fma i 2 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ beta alpha) i) in beta
* [misc]taylor:  Taking taylor expansion of (+ beta alpha) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (- (sqr beta) (sqr (fma i 2 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (sqr beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in beta
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ 0 alpha) into alpha
* [misc]backup-simplify:  Simplify (+ alpha i) into (+ alpha i)
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- (sqr (fma i 2 alpha))) into (- (sqr (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (+ 0 (- (sqr (fma i 2 alpha)))) into (- (sqr (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (/ (+ alpha i) (- (sqr (fma i 2 alpha)))) into (* -1 (/ (+ alpha i) (sqr (fma i 2 alpha))))
* [misc]taylor:  Taking taylor expansion of (* -1 (/ (+ alpha i) (sqr (fma i 2 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of -1 in alpha
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]taylor:  Taking taylor expansion of (/ (+ alpha i) (sqr (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ 0 i) into i
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (/ i (sqr (fma i 2 alpha))) into (/ i (sqr (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (* -1 (/ i (sqr (fma i 2 alpha)))) into (* -1 (/ i (sqr (fma i 2 alpha))))
* [misc]taylor:  Taking taylor expansion of (* -1 (/ i (sqr (fma i 2 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of -1 in i
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]taylor:  Taking taylor expansion of (/ i (sqr (fma i 2 alpha))) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (/ 1 (sqr (fma i 2 alpha))) into (/ 1 (sqr (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 0) (* 0 (fma i 2 alpha))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 1 (- (sqr (fma i 2 alpha)))) (+ (* (* -1 (/ (+ alpha i) (sqr (fma i 2 alpha)))) (/ 0 (- (sqr (fma i 2 alpha))))))) into (- (/ 1 (sqr (fma i 2 alpha))))
* [misc]taylor:  Taking taylor expansion of (- (/ 1 (sqr (fma i 2 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqr (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (/ 1 (sqr (fma i 2 alpha))) into (/ 1 (sqr (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (- (/ 1 (sqr (fma i 2 alpha)))) into (- (/ 1 (sqr (fma i 2 alpha))))
* [misc]taylor:  Taking taylor expansion of (- (/ 1 (sqr (fma i 2 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqr (fma i 2 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (/ 1 (sqr (fma i 2 alpha))) into (/ 1 (sqr (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (- (/ 1 (sqr (fma i 2 alpha)))) into (- (/ 1 (sqr (fma i 2 alpha))))
* [misc]backup-simplify:  Simplify (- (/ 1 (sqr (fma i 2 alpha)))) into (- (/ 1 (sqr (fma i 2 alpha))))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 0) (* 0 (fma i 2 alpha))) into 0
* [misc]backup-simplify:  Simplify (- (/ 1 (sqr (fma i 2 alpha))) (+ (* (/ i (sqr (fma i 2 alpha))) (/ 0 (sqr (fma i 2 alpha)))))) into (/ 1 (sqr (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (+ (* -1 (/ 1 (sqr (fma i 2 alpha)))) (* 0 (/ i (sqr (fma i 2 alpha))))) into (- (/ 1 (sqr (fma i 2 alpha))))
* [misc]taylor:  Taking taylor expansion of (- (/ 1 (sqr (fma i 2 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqr (fma i 2 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (/ 1 (sqr (fma i 2 alpha))) into (/ 1 (sqr (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (- (/ 1 (sqr (fma i 2 alpha)))) into (- (/ 1 (sqr (fma i 2 alpha))))
* [misc]backup-simplify:  Simplify (- (/ 1 (sqr (fma i 2 alpha)))) into (- (/ 1 (sqr (fma i 2 alpha))))
* [misc]backup-simplify:  Simplify (* -1 (/ 1 (sqr (fma i 2 alpha)))) into (/ -1 (sqr (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (/ -1 (sqr (fma i 2 alpha))) into (/ -1 (sqr (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (+ (* (/ -1 (sqr (fma i 2 alpha))) (* i (* 1 1))) (+ (* (- (/ 1 (sqr (fma i 2 alpha)))) (* 1 (* alpha 1))) (* (- (/ 1 (sqr (fma i 2 alpha)))) (* 1 (* 1 beta))))) into (- (+ (/ i (sqr (fma i 2 alpha))) (+ (/ alpha (sqr (fma i 2 alpha))) (/ beta (sqr (fma i 2 alpha))))))
* [misc]approximate:  Taking taylor expansion of (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (- (sqr (/ 1 beta)) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))) in (beta alpha i) around 0
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (- (sqr (/ 1 beta)) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) in i
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (/ 1 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (- (sqr (/ 1 beta)) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (sqr (/ 1 beta)) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ 1 i) 2 (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (* (/ 1 beta) (/ 1 beta)) into (/ 1 (sqr beta))
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 i) 2 (/ 1 alpha))) into (sqr (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (- (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) into (- (sqr (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (+ (/ 1 (sqr beta)) (- (sqr (fma (/ 1 i) 2 (/ 1 alpha))))) into (- (/ 1 (sqr beta)) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (/ 1 (- (/ 1 (sqr beta)) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))) into (/ 1 (- (/ 1 (sqr beta)) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))))
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (- (sqr (/ 1 beta)) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (/ 1 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (- (sqr (/ 1 beta)) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (/ 1 beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ 1 i) 2 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (* (/ 1 beta) (/ 1 beta)) into (/ 1 (sqr beta))
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 i) 2 (/ 1 alpha))) into (sqr (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (- (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) into (- (sqr (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (+ (/ 1 (sqr beta)) (- (sqr (fma (/ 1 i) 2 (/ 1 alpha))))) into (- (/ 1 (sqr beta)) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (/ 1 (- (/ 1 (sqr beta)) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))) into (/ 1 (- (/ 1 (sqr beta)) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))))
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (- (sqr (/ 1 beta)) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (/ 1 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (- (sqr (/ 1 beta)) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (sqr (/ 1 beta)) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ 1 i) 2 (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (- (sqr (/ 1 beta)) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (/ 1 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (- (sqr (/ 1 beta)) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (sqr (/ 1 beta)) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ 1 i) 2 (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of 1 in alpha
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 alpha)) into (/ 1 alpha)
* [misc]backup-simplify:  Simplify (+ (/ 1 alpha) (/ 1 i)) into (+ (/ 1 i) (/ 1 alpha))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ (+ (/ 1 i) (/ 1 alpha)) 1) (+ (* 1 (/ 0 1)))) into (+ (/ 1 i) (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 i) (/ 1 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]taylor:  Taking taylor expansion of 1 in i
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 1 in i
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 i) 2 (/ 1 alpha))) into (sqr (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (- (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) into (- (sqr (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (+ 0 (- (sqr (fma (/ 1 i) 2 (/ 1 alpha))))) into (- (sqr (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* 1 (/ (- (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) 1)) (* (+ (/ 1 i) (/ 1 alpha)) (/ 0 1)))) into (sqr (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ 1 i) 2 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (/ 1 i) 0) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ (* 1 (* 1 (* 1 (/ 1 beta)))) (+ (* 1 (* 1 (* (/ 1 (/ 1 alpha)) (sqr (/ 1 beta))))) (* 1 (* (/ 1 (/ 1 i)) (* 1 (sqr (/ 1 beta))))))) into (+ (/ 1 beta) (+ (/ alpha (sqr beta)) (/ i (sqr beta))))
* [misc]approximate:  Taking taylor expansion of (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (- (sqr (/ 1 (- beta))) (sqr (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) in (beta alpha i) around 0
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (- (sqr (/ 1 (- beta))) (sqr (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) in i
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) in i
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (/ 1 (- alpha))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in i
* [misc]taylor:  Taking taylor expansion of (- beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in i
* [misc]taylor:  Taking taylor expansion of (- alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in i
* [misc]taylor:  Taking taylor expansion of (- i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (- (sqr (/ 1 (- beta))) (sqr (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (sqr (/ 1 (- beta))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in i
* [misc]taylor:  Taking taylor expansion of (- beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (* (/ -1 beta) (/ -1 beta)) into (/ 1 (sqr beta))
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) 2 (/ -1 alpha))) into (sqr (fma (/ -1 i) 2 (/ -1 alpha)))
* [misc]backup-simplify:  Simplify (- (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) into (- (sqr (fma (/ -1 i) 2 (/ -1 alpha))))
* [misc]backup-simplify:  Simplify (+ (/ 1 (sqr beta)) (- (sqr (fma (/ -1 i) 2 (/ -1 alpha))))) into (- (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha))))
* [misc]backup-simplify:  Simplify (/ -1 (- (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha))))) into (/ -1 (- (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))))
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (- (sqr (/ 1 (- beta))) (sqr (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (/ 1 (- alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (- alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in alpha
* [misc]taylor:  Taking taylor expansion of (- i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of (- (sqr (/ 1 (- beta))) (sqr (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (/ 1 (- beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (* (/ -1 beta) (/ -1 beta)) into (/ 1 (sqr beta))
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) 2 (/ -1 alpha))) into (sqr (fma (/ -1 i) 2 (/ -1 alpha)))
* [misc]backup-simplify:  Simplify (- (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) into (- (sqr (fma (/ -1 i) 2 (/ -1 alpha))))
* [misc]backup-simplify:  Simplify (+ (/ 1 (sqr beta)) (- (sqr (fma (/ -1 i) 2 (/ -1 alpha))))) into (- (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha))))
* [misc]backup-simplify:  Simplify (/ -1 (- (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha))))) into (/ -1 (- (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))))
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (- (sqr (/ 1 (- beta))) (sqr (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (/ 1 (- alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in beta
* [misc]taylor:  Taking taylor expansion of (- i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of (- (sqr (/ 1 (- beta))) (sqr (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (sqr (/ 1 (- beta))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ -1 1) into -1
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (- (sqr (/ 1 (- beta))) (sqr (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (/ 1 (- alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in beta
* [misc]taylor:  Taking taylor expansion of (- i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of (- (sqr (/ 1 (- beta))) (sqr (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (sqr (/ 1 (- beta))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ -1 1) into -1
* [misc]taylor:  Taking taylor expansion of -1 in alpha
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (/ -1 alpha)) into (- (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (- (/ 1 alpha)) (/ -1 i)) into (- (+ (/ 1 i) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* 0 -1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ (- (+ (/ 1 i) (/ 1 alpha))) 1) (+ (* -1 (/ 0 1)))) into (- (+ (/ 1 alpha) (/ 1 i)))
* [misc]taylor:  Taking taylor expansion of (- (+ (/ 1 alpha) (/ 1 i))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 alpha) (/ 1 i)) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]taylor:  Taking taylor expansion of -1 in i
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]taylor:  Taking taylor expansion of -1 in i
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 alpha) (/ 0 (- alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 i) (/ 0 (- i))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) 2 (/ -1 alpha))) into (sqr (fma (/ -1 i) 2 (/ -1 alpha)))
* [misc]backup-simplify:  Simplify (- (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) into (- (sqr (fma (/ -1 i) 2 (/ -1 alpha))))
* [misc]backup-simplify:  Simplify (+ 0 (- (sqr (fma (/ -1 i) 2 (/ -1 alpha))))) into (- (sqr (fma (/ -1 i) 2 (/ -1 alpha))))
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* -1 (/ (- (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) 1)) (* (- (+ (/ 1 alpha) (/ 1 i))) (/ 0 1)))) into (- (sqr (fma (/ -1 i) 2 (/ -1 alpha))))
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ -1 i) 2 (/ -1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 i)) into (/ 1 i)
* [misc]backup-simplify:  Simplify (- (/ 1 i)) into (- (/ 1 i))
* [misc]taylor:  Taking taylor expansion of (- (/ 1 i)) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]backup-simplify:  Simplify (+ (* -1 (* 1 (* 1 (/ 1 (- beta))))) (+ (* -1 (* 1 (* (/ 1 (/ 1 (- alpha))) (sqr (/ 1 (- beta)))))) (* -1 (* (/ 1 (/ 1 (- i))) (* 1 (sqr (/ 1 (- beta)))))))) into (+ (/ 1 beta) (+ (/ alpha (sqr beta)) (/ i (sqr beta))))
* [misc]approximate:  Taking taylor expansion of (/ (* (* (* (/ (+ (+ beta alpha) i) (- (sqr beta) (sqr (fma i 2 alpha)))) (- beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)) in (beta alpha i) around 0
* [misc]taylor:  Taking taylor expansion of (/ (* (* (* (/ (+ (+ beta alpha) i) (- (sqr beta) (sqr (fma i 2 alpha)))) (- beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (* (* (* (/ (+ (+ beta alpha) i) (- (sqr beta) (sqr (fma i 2 alpha)))) (- beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (* (* (/ (+ (+ beta alpha) i) (- (sqr beta) (sqr (fma i 2 alpha)))) (- beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) in i
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ beta alpha) i) (- (sqr beta) (sqr (fma i 2 alpha)))) (- beta (fma i 2 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ beta alpha) i) (- (sqr beta) (sqr (fma i 2 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (+ (+ beta alpha) i) in i
* [misc]taylor:  Taking taylor expansion of (+ beta alpha) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (- (sqr beta) (sqr (fma i 2 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (sqr beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ beta alpha) into (+ beta alpha)
* [misc]backup-simplify:  Simplify (+ (+ beta alpha) 0) into (+ beta alpha)
* [misc]backup-simplify:  Simplify (* beta beta) into (sqr beta)
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- (sqr (fma i 2 alpha))) into (- (sqr (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (+ (sqr beta) (- (sqr (fma i 2 alpha)))) into (- (sqr beta) (sqr (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (/ (+ beta alpha) (- (sqr beta) (sqr (fma i 2 alpha)))) into (/ (+ beta alpha) (- (sqr beta) (sqr (fma i 2 alpha))))
* [misc]taylor:  Taking taylor expansion of (- beta (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (fma i (+ (+ beta alpha) i) (* alpha beta)) in i
* [misc]backup-simplify:  Simplify (fma i (+ (+ beta alpha) i) (* alpha beta)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (/ i (+ beta (fma i 2 alpha))) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ beta (fma i 2 alpha)) into (+ beta (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (/ 1 (+ beta (fma i 2 alpha))) into (/ 1 (+ beta (fma i 2 alpha)))
* [misc]taylor:  Taking taylor expansion of (- (sqr (+ beta (fma i 2 alpha))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (sqr (+ beta (fma i 2 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (- (fma i 2 alpha)) into (- (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (+ beta (- (fma i 2 alpha))) into (- beta (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* (/ (+ beta alpha) (- (sqr beta) (sqr (fma i 2 alpha)))) (- beta (fma i 2 alpha))) into (/ (* (- beta (fma i 2 alpha)) (+ beta alpha)) (- (sqr beta) (sqr (fma i 2 alpha))))
* [misc]backup-simplify:  Simplify (* (/ (* (- beta (fma i 2 alpha)) (+ beta alpha)) (- (sqr beta) (sqr (fma i 2 alpha)))) (fma i (+ beta (+ alpha i)) (* beta alpha))) into (/ (* (- beta (fma i 2 alpha)) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (+ beta alpha))) (- (sqr beta) (sqr (fma i 2 alpha))))
* [misc]backup-simplify:  Simplify (* (/ (* (- beta (fma i 2 alpha)) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (+ beta alpha))) (- (sqr beta) (sqr (fma i 2 alpha)))) (/ 1 (+ beta (fma i 2 alpha)))) into (/ (* (- beta (fma i 2 alpha)) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (+ beta alpha))) (* (- (sqr beta) (sqr (fma i 2 alpha))) (+ beta (fma i 2 alpha))))
* [misc]backup-simplify:  Simplify (+ beta (fma i 2 alpha)) into (+ beta (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* (+ beta (fma i 2 alpha)) (+ beta (fma i 2 alpha))) into (sqr (+ beta (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (+ beta (fma i 2 alpha))) (- 1.0)) into (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0)
* [misc]backup-simplify:  Simplify (/ (/ (* (- beta (fma i 2 alpha)) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (+ beta alpha))) (* (- (sqr beta) (sqr (fma i 2 alpha))) (+ beta (fma i 2 alpha)))) (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0)) into (/ (* (- beta (fma i 2 alpha)) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (+ beta alpha))) (* (- (sqr beta) (sqr (fma i 2 alpha))) (* (+ beta (fma i 2 alpha)) (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0))))
* [misc]taylor:  Taking taylor expansion of (/ (* (* (* (/ (+ (+ beta alpha) i) (- (sqr beta) (sqr (fma i 2 alpha)))) (- beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (* (* (* (/ (+ (+ beta alpha) i) (- (sqr beta) (sqr (fma i 2 alpha)))) (- beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (* (/ (+ (+ beta alpha) i) (- (sqr beta) (sqr (fma i 2 alpha)))) (- beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ beta alpha) i) (- (sqr beta) (sqr (fma i 2 alpha)))) (- beta (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ beta alpha) i) (- (sqr beta) (sqr (fma i 2 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ beta alpha) i) in alpha
* [misc]taylor:  Taking taylor expansion of (+ beta alpha) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (- (sqr beta) (sqr (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (+ beta i) into (+ beta i)
* [misc]backup-simplify:  Simplify (* beta beta) into (sqr beta)
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- (sqr (fma i 2 alpha))) into (- (sqr (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (+ (sqr beta) (- (sqr (fma i 2 alpha)))) into (- (sqr beta) (sqr (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (/ (+ beta i) (- (sqr beta) (sqr (fma i 2 alpha)))) into (/ (+ beta i) (- (sqr beta) (sqr (fma i 2 alpha))))
* [misc]taylor:  Taking taylor expansion of (- beta (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (fma i (+ (+ beta alpha) i) (* alpha beta)) in alpha
* [misc]backup-simplify:  Simplify (fma i (+ (+ beta alpha) i) (* alpha beta)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (/ i (+ beta (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ beta (fma i 2 alpha)) into (+ beta (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (/ i (+ beta (fma i 2 alpha))) into (/ i (+ beta (fma i 2 alpha)))
* [misc]taylor:  Taking taylor expansion of (- (sqr (+ beta (fma i 2 alpha))) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (+ beta (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (- (fma i 2 alpha)) into (- (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (+ beta (- (fma i 2 alpha))) into (- beta (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* (/ (+ beta i) (- (sqr beta) (sqr (fma i 2 alpha)))) (- beta (fma i 2 alpha))) into (/ (* (- beta (fma i 2 alpha)) (+ beta i)) (- (sqr beta) (sqr (fma i 2 alpha))))
* [misc]backup-simplify:  Simplify (* (/ (* (- beta (fma i 2 alpha)) (+ beta i)) (- (sqr beta) (sqr (fma i 2 alpha)))) (fma i (+ beta (+ alpha i)) (* beta alpha))) into (/ (* (- beta (fma i 2 alpha)) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (+ beta i))) (- (sqr beta) (sqr (fma i 2 alpha))))
* [misc]backup-simplify:  Simplify (* (/ (* (- beta (fma i 2 alpha)) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (+ beta i))) (- (sqr beta) (sqr (fma i 2 alpha)))) (/ i (+ beta (fma i 2 alpha)))) into (/ (* (- beta (fma i 2 alpha)) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* i (+ beta i)))) (* (- (sqr beta) (sqr (fma i 2 alpha))) (+ beta (fma i 2 alpha))))
* [misc]backup-simplify:  Simplify (+ beta (fma i 2 alpha)) into (+ beta (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* (+ beta (fma i 2 alpha)) (+ beta (fma i 2 alpha))) into (sqr (+ beta (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (+ beta (fma i 2 alpha))) (- 1.0)) into (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0)
* [misc]backup-simplify:  Simplify (/ (/ (* (- beta (fma i 2 alpha)) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* i (+ beta i)))) (* (- (sqr beta) (sqr (fma i 2 alpha))) (+ beta (fma i 2 alpha)))) (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0)) into (/ (* (- beta (fma i 2 alpha)) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* i (+ beta i)))) (* (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0) (* (- (sqr beta) (sqr (fma i 2 alpha))) (+ beta (fma i 2 alpha)))))
* [misc]taylor:  Taking taylor expansion of (/ (* (* (* (/ (+ (+ beta alpha) i) (- (sqr beta) (sqr (fma i 2 alpha)))) (- beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)) in beta
* [misc]taylor:  Taking taylor expansion of (* (* (* (/ (+ (+ beta alpha) i) (- (sqr beta) (sqr (fma i 2 alpha)))) (- beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (* (* (/ (+ (+ beta alpha) i) (- (sqr beta) (sqr (fma i 2 alpha)))) (- beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) in beta
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ beta alpha) i) (- (sqr beta) (sqr (fma i 2 alpha)))) (- beta (fma i 2 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ beta alpha) i) (- (sqr beta) (sqr (fma i 2 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ beta alpha) i) in beta
* [misc]taylor:  Taking taylor expansion of (+ beta alpha) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (- (sqr beta) (sqr (fma i 2 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (sqr beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in beta
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ 0 alpha) into alpha
* [misc]backup-simplify:  Simplify (+ alpha i) into (+ alpha i)
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- (sqr (fma i 2 alpha))) into (- (sqr (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (+ 0 (- (sqr (fma i 2 alpha)))) into (- (sqr (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (/ (+ alpha i) (- (sqr (fma i 2 alpha)))) into (* -1 (/ (+ alpha i) (sqr (fma i 2 alpha))))
* [misc]taylor:  Taking taylor expansion of (- beta (fma i 2 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in beta
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (fma i (+ (+ beta alpha) i) (* alpha beta)) in beta
* [misc]backup-simplify:  Simplify (fma i (+ (+ beta alpha) i) (* alpha beta)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (/ i (+ beta (fma i 2 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in beta
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ 0 (fma i 2 alpha)) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (/ i (fma i 2 alpha)) into (/ i (fma i 2 alpha))
* [misc]taylor:  Taking taylor expansion of (- (sqr (+ beta (fma i 2 alpha))) 1.0) in beta
* [misc]taylor:  Taking taylor expansion of (sqr (+ beta (fma i 2 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in beta
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (- (fma i 2 alpha)) into (- (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (+ 0 (- (fma i 2 alpha))) into (- (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* (* -1 (/ (+ alpha i) (sqr (fma i 2 alpha)))) (- (fma i 2 alpha))) into (/ (+ alpha i) (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* (/ (+ alpha i) (fma i 2 alpha)) (fma i (+ beta (+ alpha i)) (* beta alpha))) into (/ (* (+ alpha i) (fma i (+ beta (+ alpha i)) (* beta alpha))) (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* (/ (* (+ alpha i) (fma i (+ beta (+ alpha i)) (* beta alpha))) (fma i 2 alpha)) (/ i (fma i 2 alpha))) into (/ (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (sqr (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (+ 0 (fma i 2 alpha)) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (/ (/ (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (sqr (fma i 2 alpha))) (- (sqr (fma i 2 alpha)) 1.0)) into (/ (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]taylor:  Taking taylor expansion of (/ (* (* (* (/ (+ (+ beta alpha) i) (- (sqr beta) (sqr (fma i 2 alpha)))) (- beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)) in beta
* [misc]taylor:  Taking taylor expansion of (* (* (* (/ (+ (+ beta alpha) i) (- (sqr beta) (sqr (fma i 2 alpha)))) (- beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (* (* (/ (+ (+ beta alpha) i) (- (sqr beta) (sqr (fma i 2 alpha)))) (- beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) in beta
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ beta alpha) i) (- (sqr beta) (sqr (fma i 2 alpha)))) (- beta (fma i 2 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ beta alpha) i) (- (sqr beta) (sqr (fma i 2 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ beta alpha) i) in beta
* [misc]taylor:  Taking taylor expansion of (+ beta alpha) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (- (sqr beta) (sqr (fma i 2 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (sqr beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in beta
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ 0 alpha) into alpha
* [misc]backup-simplify:  Simplify (+ alpha i) into (+ alpha i)
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- (sqr (fma i 2 alpha))) into (- (sqr (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (+ 0 (- (sqr (fma i 2 alpha)))) into (- (sqr (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (/ (+ alpha i) (- (sqr (fma i 2 alpha)))) into (* -1 (/ (+ alpha i) (sqr (fma i 2 alpha))))
* [misc]taylor:  Taking taylor expansion of (- beta (fma i 2 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in beta
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (fma i (+ (+ beta alpha) i) (* alpha beta)) in beta
* [misc]backup-simplify:  Simplify (fma i (+ (+ beta alpha) i) (* alpha beta)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (/ i (+ beta (fma i 2 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in beta
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ 0 (fma i 2 alpha)) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (/ i (fma i 2 alpha)) into (/ i (fma i 2 alpha))
* [misc]taylor:  Taking taylor expansion of (- (sqr (+ beta (fma i 2 alpha))) 1.0) in beta
* [misc]taylor:  Taking taylor expansion of (sqr (+ beta (fma i 2 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in beta
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (- (fma i 2 alpha)) into (- (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (+ 0 (- (fma i 2 alpha))) into (- (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* (* -1 (/ (+ alpha i) (sqr (fma i 2 alpha)))) (- (fma i 2 alpha))) into (/ (+ alpha i) (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* (/ (+ alpha i) (fma i 2 alpha)) (fma i (+ beta (+ alpha i)) (* beta alpha))) into (/ (* (+ alpha i) (fma i (+ beta (+ alpha i)) (* beta alpha))) (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* (/ (* (+ alpha i) (fma i (+ beta (+ alpha i)) (* beta alpha))) (fma i 2 alpha)) (/ i (fma i 2 alpha))) into (/ (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (sqr (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (+ 0 (fma i 2 alpha)) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (/ (/ (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (sqr (fma i 2 alpha))) (- (sqr (fma i 2 alpha)) 1.0)) into (/ (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]taylor:  Taking taylor expansion of (/ (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (+ 0 i) into i
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) into (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)
* [misc]backup-simplify:  Simplify (* i (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) into (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)) into (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]taylor:  Taking taylor expansion of (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) in i
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in i
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (sqr i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 1) (+ (* 0 0) (* 0 0))) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)) into (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (- (/ 0 (fma i 2 alpha)) (+ (* (/ i (fma i 2 alpha)) (/ 1 (fma i 2 alpha))))) into (- (/ i (sqr (fma i 2 alpha))))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 0) (* 0 (fma i 2 alpha))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 1 (- (sqr (fma i 2 alpha)))) (+ (* (* -1 (/ (+ alpha i) (sqr (fma i 2 alpha)))) (/ 0 (- (sqr (fma i 2 alpha))))))) into (- (/ 1 (sqr (fma i 2 alpha))))
* [misc]backup-simplify:  Simplify (+ (* (* -1 (/ (+ alpha i) (sqr (fma i 2 alpha)))) 1) (* (- (/ 1 (sqr (fma i 2 alpha)))) (- (fma i 2 alpha)))) into (- (/ 1 (fma i 2 alpha)) (+ (/ i (sqr (fma i 2 alpha))) (/ alpha (sqr (fma i 2 alpha)))))
* [misc]backup-simplify:  Simplify (+ (* (/ (+ alpha i) (fma i 2 alpha)) 0) (* (- (/ 1 (fma i 2 alpha)) (+ (/ i (sqr (fma i 2 alpha))) (/ alpha (sqr (fma i 2 alpha))))) (fma i (+ beta (+ alpha i)) (* beta alpha)))) into (- (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha)) (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) alpha) (sqr (fma i 2 alpha))) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha)))))
* [misc]backup-simplify:  Simplify (+ (* (/ (* (+ alpha i) (fma i (+ beta (+ alpha i)) (* beta alpha))) (fma i 2 alpha)) (- (/ i (sqr (fma i 2 alpha))))) (* (- (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha)) (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) alpha) (sqr (fma i 2 alpha))) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha))))) (/ i (fma i 2 alpha)))) into (- (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha))) (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (fma i 2 alpha) 3))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (pow (fma i 2 alpha) 3)))))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 1) (* 1 (fma i 2 alpha))) into (* 2 (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 (fma i 2 alpha)) 0) into (* 2 (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- (/ (- (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha))) (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (fma i 2 alpha) 3))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (pow (fma i 2 alpha) 3))))) (- (sqr (fma i 2 alpha)) 1.0)) (+ (* (/ (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (/ (* 2 (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))))) into (- (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0))))))))
* [misc]taylor:  Taking taylor expansion of (- (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) into (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)) into (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]taylor:  Taking taylor expansion of (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (sqr i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (sqr (- (sqr (fma i 2 alpha)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) into (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (- (sqr (fma i 2 alpha)) 1.0) (- (sqr (fma i 2 alpha)) 1.0)) into (sqr (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))) into (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))
* [misc]taylor:  Taking taylor expansion of (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (* alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (pow (fma i 2 alpha) 3) in alpha
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (fma i 2 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 3 (log (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of 3 in alpha
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (log (fma i 2 alpha)) into (log (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* 3 (log (fma i 2 alpha))) into (* 3 (log (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (fma i 2 alpha)))) into (pow (fma i 2 alpha) 3)
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* 0 i) into 0
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 i)) into i
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* 0 0)) into (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)) into (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0))) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]taylor:  Taking taylor expansion of (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (* alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (sqr (- (sqr (fma i 2 alpha)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* 0 i) into 0
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 i)) into i
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* 0 0)) into (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (- (sqr (fma i 2 alpha)) 1.0) (- (sqr (fma i 2 alpha)) 1.0)) into (sqr (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))) into (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (sqr i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (pow (fma i 2 alpha) 3) in alpha
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (fma i 2 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 3 (log (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of 3 in alpha
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (log (fma i 2 alpha)) into (log (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* 3 (log (fma i 2 alpha))) into (* 3 (log (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (fma i 2 alpha)))) into (pow (fma i 2 alpha) 3)
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) into (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)) into (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0))) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) into (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))
* [misc]backup-simplify:  Simplify (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)))) into (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0))))
* [misc]backup-simplify:  Simplify (+ 0 (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0))))) into (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0))))
* [misc]backup-simplify:  Simplify (+ 0 (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0))))) into (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0))))
* [misc]backup-simplify:  Simplify (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0))))) into (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))))
* [misc]backup-simplify:  Simplify (- (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))))) into (- (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))))
* [misc]backup-simplify:  Simplify (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (- (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))))) into (- (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0))))))
* [misc]taylor:  Taking taylor expansion of (- (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)))))) in i
* [misc]taylor:  Taking taylor expansion of (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) in i
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in i
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 1) (* 0 0)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)) into (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]taylor:  Taking taylor expansion of (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) in i
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in i
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (sqr i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (sqr (- (sqr (fma i 2 alpha)) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 1) (+ (* 0 0) (* 0 0))) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (- (sqr (fma i 2 alpha)) 1.0) (- (sqr (fma i 2 alpha)) 1.0)) into (sqr (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))) into (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) in i
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in i
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (sqr i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (pow (fma i 2 alpha) 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (fma i 2 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log (fma i 2 alpha))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (log (fma i 2 alpha)) into (log (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* 3 (log (fma i 2 alpha))) into (* 3 (log (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (fma i 2 alpha)))) into (pow (fma i 2 alpha) 3)
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 1) (+ (* 0 0) (* 0 0))) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)) into (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0))) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (+ (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) 0) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) (* 0 i)) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ (* i 0) (* 1 (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i))) into (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 0) (* 0 (fma i 2 alpha))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 0) (* 0 (fma i 2 alpha))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (fma i 2 alpha)) 0) (* 0 (- (sqr (fma i 2 alpha)) 1.0))) into 0
* [misc]backup-simplify:  Simplify (- (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (+ (* (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (/ 0 (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))))) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]taylor:  Taking taylor expansion of (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) in i
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in i
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha)) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 1) (* 0 0)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) (- 1.0)) into (- (sqr (fma i 2 alpha)) 1.0)
* [misc]backup-simplify:  Simplify (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)) into (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (+ (* (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (sqr (* i (* 1 1)))) (+ (* (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (* i (* alpha 1))) (* (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (* i (* 1 beta))))) into (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* beta i)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))))
* [misc]approximate:  Taking taylor expansion of (/ (* (* (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (- (sqr (/ 1 beta)) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))) (- (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (- (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0)) in (beta alpha i) around 0
* [misc]taylor:  Taking taylor expansion of (/ (* (* (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (- (sqr (/ 1 beta)) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))) (- (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (- (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (* (* (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (- (sqr (/ 1 beta)) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))) (- (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (* (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (- (sqr (/ 1 beta)) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))) (- (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) in i
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (- (sqr (/ 1 beta)) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))) (- (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (- (sqr (/ 1 beta)) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) in i
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (/ 1 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (- (sqr (/ 1 beta)) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (sqr (/ 1 beta)) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ 1 i) 2 (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (* (/ 1 beta) (/ 1 beta)) into (/ 1 (sqr beta))
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 i) 2 (/ 1 alpha))) into (sqr (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (- (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) into (- (sqr (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (+ (/ 1 (sqr beta)) (- (sqr (fma (/ 1 i) 2 (/ 1 alpha))))) into (- (/ 1 (sqr beta)) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (/ 1 (- (/ 1 (sqr beta)) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))) into (/ 1 (- (/ 1 (sqr beta)) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))))
* [misc]taylor:  Taking taylor expansion of (- (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) into (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) into (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (- (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (- (fma (/ 1 i) 2 (/ 1 alpha))) into (- (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (+ (/ 1 beta) (- (fma (/ 1 i) 2 (/ 1 alpha)))) into (- (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* (/ 1 (- (/ 1 (sqr beta)) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))) (- (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) into (/ (- (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (* (/ (- (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) into (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (- (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (- (/ 1 (sqr beta)) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (* (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (- (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (- (/ 1 (sqr beta)) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))) (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) into (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (- (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (* (- (/ 1 (sqr beta)) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) into (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) into (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (- 1.0)) into (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0)
* [misc]backup-simplify:  Simplify (/ (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (- (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (* (- (/ 1 (sqr beta)) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0)) into (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (- (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (* (- (/ 1 (sqr beta)) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0))))
* [misc]taylor:  Taking taylor expansion of (/ (* (* (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (- (sqr (/ 1 beta)) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))) (- (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (- (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (* (* (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (- (sqr (/ 1 beta)) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))) (- (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (- (sqr (/ 1 beta)) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))) (- (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (- (sqr (/ 1 beta)) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))) (- (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (- (sqr (/ 1 beta)) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (/ 1 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (- (sqr (/ 1 beta)) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (/ 1 beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ 1 i) 2 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (* (/ 1 beta) (/ 1 beta)) into (/ 1 (sqr beta))
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 i) 2 (/ 1 alpha))) into (sqr (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (- (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) into (- (sqr (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (+ (/ 1 (sqr beta)) (- (sqr (fma (/ 1 i) 2 (/ 1 alpha))))) into (- (/ 1 (sqr beta)) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (/ 1 (- (/ 1 (sqr beta)) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))) into (/ 1 (- (/ 1 (sqr beta)) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))))
* [misc]taylor:  Taking taylor expansion of (- (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) into (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) into (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))
* [misc]taylor:  Taking taylor expansion of (- (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (- (fma (/ 1 i) 2 (/ 1 alpha))) into (- (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (+ (/ 1 beta) (- (fma (/ 1 i) 2 (/ 1 alpha)))) into (- (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* (/ 1 (- (/ 1 (sqr beta)) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))) (- (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) into (/ (- (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (* (/ (- (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) into (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (- (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (- (/ 1 (sqr beta)) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (* (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (- (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (- (/ 1 (sqr beta)) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))) (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))) into (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (- (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (* (- (/ 1 (sqr beta)) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i)))
* [misc]backup-simplify:  Simplify (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) into (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) into (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (- 1.0)) into (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0)
* [misc]backup-simplify:  Simplify (/ (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (- (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (* (- (/ 1 (sqr beta)) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))) (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0)) into (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (- (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (* (- (/ 1 (sqr beta)) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) (* i (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0)))))
* [misc]taylor:  Taking taylor expansion of (/ (* (* (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (- (sqr (/ 1 beta)) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))) (- (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (- (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0)) in beta
* [misc]taylor:  Taking taylor expansion of (* (* (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (- (sqr (/ 1 beta)) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))) (- (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (* (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (- (sqr (/ 1 beta)) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))) (- (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) in beta
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (- (sqr (/ 1 beta)) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))) (- (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (- (sqr (/ 1 beta)) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (/ 1 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (- (sqr (/ 1 beta)) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (sqr (/ 1 beta)) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ 1 i) 2 (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (- (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (/ 1 i) 1) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (- (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0) in beta
* [misc]taylor:  Taking taylor expansion of (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* 1 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (/ 1 i)) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) 1) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)
* [misc]taylor:  Taking taylor expansion of (/ (* (* (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (- (sqr (/ 1 beta)) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))) (- (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (- (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0)) in beta
* [misc]taylor:  Taking taylor expansion of (* (* (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (- (sqr (/ 1 beta)) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))) (- (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (* (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (- (sqr (/ 1 beta)) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))) (- (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) in beta
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (- (sqr (/ 1 beta)) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))) (- (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (- (sqr (/ 1 beta)) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (/ 1 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (- (sqr (/ 1 beta)) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (sqr (/ 1 beta)) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ 1 i) 2 (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (- (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (/ 1 i) 1) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (- (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0) in beta
* [misc]taylor:  Taking taylor expansion of (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* 1 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (/ 1 i)) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) 1) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (fma (/ 1 i) 2 (/ 1 alpha))) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (/ 1 i) (/ (fma (/ 1 i) 2 (/ 1 alpha)) 1)))) into (- (/ (fma (/ 1 i) 2 (/ 1 alpha)) i))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (fma (/ 1 i) 2 (/ 1 alpha))) into (- (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (+ 0 (- (fma (/ 1 i) 2 (/ 1 alpha)))) into (- (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 alpha)) into (/ 1 alpha)
* [misc]backup-simplify:  Simplify (+ (/ 1 alpha) (/ 1 i)) into (+ (/ 1 i) (/ 1 alpha))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ (+ (/ 1 i) (/ 1 alpha)) 1) (+ (* 1 (/ 0 1)))) into (+ (/ 1 i) (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (* 1 (- (fma (/ 1 i) 2 (/ 1 alpha)))) (* (+ (/ 1 i) (/ 1 alpha)) 1)) into (- (+ (/ 1 i) (/ 1 alpha)) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* (- (+ (/ 1 i) (/ 1 alpha)) (fma (/ 1 i) 2 (/ 1 alpha))) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))) into (- (+ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) alpha)) (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (+ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (- (/ (fma (/ 1 i) 2 (/ 1 alpha)) i))) (* (- (+ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) alpha)) (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))) (/ 1 i))) into (- (+ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i))) (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (fma (/ 1 i) 2 (/ 1 alpha))) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (* 1 (fma (/ 1 i) 2 (/ 1 alpha))) (* (fma (/ 1 i) 2 (/ 1 alpha)) 1)) into (* 2 (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (+ (* 2 (fma (/ 1 i) 2 (/ 1 alpha))) 0) into (* 2 (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (- (/ (- (+ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i))) (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i))) 1) (+ (* (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) (/ (* 2 (fma (/ 1 i) 2 (/ 1 alpha))) 1)))) into (- (+ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i))) (* 4 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))
* [misc]taylor:  Taking taylor expansion of (- (+ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i))) (* 4 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (sqr i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i))
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (* alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* 0 i) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 i)) into i
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)
* [misc]taylor:  Taking taylor expansion of (* 4 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)) in alpha
* [misc]taylor:  Taking taylor expansion of 4 in alpha
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) into (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i) into (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)
* [misc]backup-simplify:  Simplify (+ 0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)
* [misc]backup-simplify:  Simplify (+ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) 0) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 1) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 1) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 i) (/ 0 i)) (* 0 (/ 0 i)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (/ 1 i) (/ 0 1)) (* (- (/ (fma (/ 1 i) 2 (/ 1 alpha)) i)) (/ (fma (/ 1 i) 2 (/ 1 alpha)) 1)))) into (/ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) i)
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 i) 2 (/ 1 alpha))) into (sqr (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (- (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) into (- (sqr (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (+ 0 (- (sqr (fma (/ 1 i) 2 (/ 1 alpha))))) into (- (sqr (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* 1 (/ (- (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) 1)) (* (+ (/ 1 i) (/ 1 alpha)) (/ 0 1)))) into (sqr (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* (+ (/ 1 i) (/ 1 alpha)) (- (fma (/ 1 i) 2 (/ 1 alpha)))) (* (sqr (fma (/ 1 i) 2 (/ 1 alpha))) 1))) into (- (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (+ (/ (fma (/ 1 i) 2 (/ 1 alpha)) i) (/ (fma (/ 1 i) 2 (/ 1 alpha)) alpha)))
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* (- (+ (/ 1 i) (/ 1 alpha)) (fma (/ 1 i) 2 (/ 1 alpha))) 0) (* (- (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (+ (/ (fma (/ 1 i) 2 (/ 1 alpha)) i) (/ (fma (/ 1 i) 2 (/ 1 alpha)) alpha))) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))))) into (- (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (+ (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) alpha) (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))
* [misc]backup-simplify:  Simplify (+ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (/ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) i)) (+ (* (- (+ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) alpha)) (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))) (- (/ (fma (/ 1 i) 2 (/ 1 alpha)) i))) (* (- (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (+ (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) alpha) (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i))) (/ 1 i)))) into (- (* 3 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)) (+ (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (* alpha i)))))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 i) 2 (/ 1 alpha))) (* 0 1))) into (sqr (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (- 1.0)) into (- (sqr (fma (/ 1 i) 2 (/ 1 alpha))) 1.0)
* [misc]backup-simplify:  Simplify (- (/ (- (* 3 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)) (+ (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (* alpha i))))) 1) (+ (* (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) (/ (- (sqr (fma (/ 1 i) 2 (/ 1 alpha))) 1.0) 1)) (* (- (+ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i))) (* 4 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i))) (/ (* 2 (fma (/ 1 i) 2 (/ 1 alpha))) 1)))) into (- (+ (* 1.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (* 10 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i))) (+ (* 4 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (* 4 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (* alpha i)))))
* [misc]taylor:  Taking taylor expansion of (- (+ (* 1.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (* 10 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i))) (+ (* 4 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (* 4 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (* alpha i))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* 1.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (* 10 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 1.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) in alpha
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)
* [misc]taylor:  Taking taylor expansion of (* 10 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)) in alpha
* [misc]taylor:  Taking taylor expansion of 10 in alpha
* [misc]backup-simplify:  Simplify 10 into 10
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ 1 i) 2 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 i) 2 (/ 1 alpha))) into (sqr (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) into (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i) into (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (* 4 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (* alpha i)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 4 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) in alpha
* [misc]taylor:  Taking taylor expansion of 4 in alpha
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i)) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (sqr i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) into (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i)) into (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))
* [misc]taylor:  Taking taylor expansion of (* 4 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (* alpha i))) in alpha
* [misc]taylor:  Taking taylor expansion of 4 in alpha
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (* alpha i)) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (* alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) into (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* 0 i) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 i)) into i
* [misc]backup-simplify:  Simplify (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i) into (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)
* [misc]backup-simplify:  Simplify (* 4 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)) into (* 4 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i))
* [misc]backup-simplify:  Simplify (+ 0 (* 4 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i))) into (* 4 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i))
* [misc]backup-simplify:  Simplify (- (* 4 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i))) into (- (* 4 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))
* [misc]backup-simplify:  Simplify (+ 0 (- (* 4 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))) into (- (* 4 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))
* [misc]taylor:  Taking taylor expansion of (- (* 4 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i) in i
* [misc]taylor:  Taking taylor expansion of (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) into (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) 1) into (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (* 0 i))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 i) (+ (* (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) (/ 0 i)))) into 0
* [misc]backup-simplify:  Simplify (+ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) 0) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i))
* [misc]backup-simplify:  Simplify (* 4 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)) into (* 4 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i))
* [misc]backup-simplify:  Simplify (- (* 4 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i))) into (- (* 4 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))
* [misc]backup-simplify:  Simplify (+ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) (- (* 4 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))) into (- (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) (* 4 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))
* [misc]taylor:  Taking taylor expansion of (- (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) (* 4 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i))) in i
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (sqr i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 1) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (* 4 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i) in i
* [misc]taylor:  Taking taylor expansion of (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) into (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) 1) into (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (+ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 0) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (- (/ 0 i) (+ (* (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) (/ 0 i)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (+ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (/ 1 (/ 1 i)) (* 1 (pow (/ 1 beta) 3)))) (+ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (/ 1 (/ 1 i)) (* (/ 1 (/ 1 alpha)) (pow (/ 1 beta) 4)))) (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (* (/ 1 (/ 1 i)) (* 1 (sqr (/ 1 beta)))))))) into (+ (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) (pow beta 3)) (+ (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i)) (pow beta 4)) (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) (pow beta 4))))
* [misc]approximate:  Taking taylor expansion of (/ (* (* (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (- (sqr (/ 1 (- beta))) (sqr (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) (- (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) (- (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) 1.0)) in (beta alpha i) around 0
* [misc]taylor:  Taking taylor expansion of (/ (* (* (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (- (sqr (/ 1 (- beta))) (sqr (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) (- (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) (- (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (* (* (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (- (sqr (/ 1 (- beta))) (sqr (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) (- (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) in i
* [misc]taylor:  Taking taylor expansion of (* (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (- (sqr (/ 1 (- beta))) (sqr (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) (- (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) in i
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (- (sqr (/ 1 (- beta))) (sqr (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) (- (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (- (sqr (/ 1 (- beta))) (sqr (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) in i
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) in i
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (/ 1 (- alpha))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in i
* [misc]taylor:  Taking taylor expansion of (- beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in i
* [misc]taylor:  Taking taylor expansion of (- alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in i
* [misc]taylor:  Taking taylor expansion of (- i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (- (sqr (/ 1 (- beta))) (sqr (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (sqr (/ 1 (- beta))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in i
* [misc]taylor:  Taking taylor expansion of (- beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (* (/ -1 beta) (/ -1 beta)) into (/ 1 (sqr beta))
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) 2 (/ -1 alpha))) into (sqr (fma (/ -1 i) 2 (/ -1 alpha)))
* [misc]backup-simplify:  Simplify (- (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) into (- (sqr (fma (/ -1 i) 2 (/ -1 alpha))))
* [misc]backup-simplify:  Simplify (+ (/ 1 (sqr beta)) (- (sqr (fma (/ -1 i) 2 (/ -1 alpha))))) into (- (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha))))
* [misc]backup-simplify:  Simplify (/ -1 (- (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha))))) into (/ -1 (- (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))))
* [misc]taylor:  Taking taylor expansion of (- (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in i
* [misc]taylor:  Taking taylor expansion of (- beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in i
* [misc]taylor:  Taking taylor expansion of (- i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in i
* [misc]taylor:  Taking taylor expansion of (- beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (+ (/ -1 beta) (fma (/ -1 i) 2 (/ -1 alpha))) into (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))
* [misc]backup-simplify:  Simplify (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) into (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))
* [misc]taylor:  Taking taylor expansion of (- (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in i
* [misc]taylor:  Taking taylor expansion of (- beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (- (fma (/ -1 i) 2 (/ -1 alpha))) into (- (fma (/ -1 i) 2 (/ -1 alpha)))
* [misc]backup-simplify:  Simplify (+ (/ -1 beta) (- (fma (/ -1 i) 2 (/ -1 alpha)))) into (- (+ (/ 1 beta) (fma (/ -1 i) 2 (/ -1 alpha))))
* [misc]backup-simplify:  Simplify (* (/ -1 (- (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha))))) (- (+ (/ 1 beta) (fma (/ -1 i) 2 (/ -1 alpha))))) into (/ (+ (/ 1 beta) (fma (/ -1 i) 2 (/ -1 alpha))) (- (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))))
* [misc]backup-simplify:  Simplify (* (/ (+ (/ 1 beta) (fma (/ -1 i) 2 (/ -1 alpha))) (- (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha))))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) into (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (fma (/ -1 i) 2 (/ -1 alpha)))) (- (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))))
* [misc]backup-simplify:  Simplify (* (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (fma (/ -1 i) 2 (/ -1 alpha)))) (- (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha))))) (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))) into (* -1 (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (fma (/ -1 i) 2 (/ -1 alpha)))) (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) (- (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))))))
* [misc]backup-simplify:  Simplify (+ (/ -1 beta) (fma (/ -1 i) 2 (/ -1 alpha))) into (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))
* [misc]backup-simplify:  Simplify (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) into (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (- 1.0)) into (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0))
* [misc]backup-simplify:  Simplify (/ (* -1 (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (fma (/ -1 i) 2 (/ -1 alpha)))) (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) (- (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha))))))) (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0))) into (* -1 (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (fma (/ -1 i) 2 (/ -1 alpha)))) (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) (* (- (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0))))))
* [misc]taylor:  Taking taylor expansion of (/ (* (* (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (- (sqr (/ 1 (- beta))) (sqr (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) (- (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) (- (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (* (* (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (- (sqr (/ 1 (- beta))) (sqr (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) (- (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (- (sqr (/ 1 (- beta))) (sqr (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) (- (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (- (sqr (/ 1 (- beta))) (sqr (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) (- (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (- (sqr (/ 1 (- beta))) (sqr (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (/ 1 (- alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (- alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in alpha
* [misc]taylor:  Taking taylor expansion of (- i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of (- (sqr (/ 1 (- beta))) (sqr (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (/ 1 (- beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (* (/ -1 beta) (/ -1 beta)) into (/ 1 (sqr beta))
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) 2 (/ -1 alpha))) into (sqr (fma (/ -1 i) 2 (/ -1 alpha)))
* [misc]backup-simplify:  Simplify (- (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) into (- (sqr (fma (/ -1 i) 2 (/ -1 alpha))))
* [misc]backup-simplify:  Simplify (+ (/ 1 (sqr beta)) (- (sqr (fma (/ -1 i) 2 (/ -1 alpha))))) into (- (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha))))
* [misc]backup-simplify:  Simplify (/ -1 (- (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha))))) into (/ -1 (- (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))))
* [misc]taylor:  Taking taylor expansion of (- (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in alpha
* [misc]taylor:  Taking taylor expansion of (- i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (+ (/ -1 beta) (fma (/ -1 i) 2 (/ -1 alpha))) into (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))
* [misc]backup-simplify:  Simplify (/ (/ -1 i) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) into (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))
* [misc]taylor:  Taking taylor expansion of (- (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (- (fma (/ -1 i) 2 (/ -1 alpha))) into (- (fma (/ -1 i) 2 (/ -1 alpha)))
* [misc]backup-simplify:  Simplify (+ (/ -1 beta) (- (fma (/ -1 i) 2 (/ -1 alpha)))) into (- (+ (/ 1 beta) (fma (/ -1 i) 2 (/ -1 alpha))))
* [misc]backup-simplify:  Simplify (* (/ -1 (- (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha))))) (- (+ (/ 1 beta) (fma (/ -1 i) 2 (/ -1 alpha))))) into (/ (+ (/ 1 beta) (fma (/ -1 i) 2 (/ -1 alpha))) (- (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))))
* [misc]backup-simplify:  Simplify (* (/ (+ (/ 1 beta) (fma (/ -1 i) 2 (/ -1 alpha))) (- (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha))))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) into (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (fma (/ -1 i) 2 (/ -1 alpha)))) (- (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))))
* [misc]backup-simplify:  Simplify (* (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (fma (/ -1 i) 2 (/ -1 alpha)))) (- (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha))))) (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) into (* -1 (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (fma (/ -1 i) 2 (/ -1 alpha)))) (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) (* (- (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) i))))
* [misc]backup-simplify:  Simplify (+ (/ -1 beta) (fma (/ -1 i) 2 (/ -1 alpha))) into (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))
* [misc]backup-simplify:  Simplify (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) into (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (- 1.0)) into (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0))
* [misc]backup-simplify:  Simplify (/ (* -1 (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (fma (/ -1 i) 2 (/ -1 alpha)))) (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) (* (- (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) i)))) (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0))) into (* -1 (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (fma (/ -1 i) 2 (/ -1 alpha)))) (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) (* (- (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (* i (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0)))))))
* [misc]taylor:  Taking taylor expansion of (/ (* (* (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (- (sqr (/ 1 (- beta))) (sqr (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) (- (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) (- (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) 1.0)) in beta
* [misc]taylor:  Taking taylor expansion of (* (* (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (- (sqr (/ 1 (- beta))) (sqr (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) (- (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) in beta
* [misc]taylor:  Taking taylor expansion of (* (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (- (sqr (/ 1 (- beta))) (sqr (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) (- (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) in beta
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (- (sqr (/ 1 (- beta))) (sqr (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) (- (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (- (sqr (/ 1 (- beta))) (sqr (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (/ 1 (- alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in beta
* [misc]taylor:  Taking taylor expansion of (- i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of (- (sqr (/ 1 (- beta))) (sqr (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (sqr (/ 1 (- beta))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ -1 1) into -1
* [misc]taylor:  Taking taylor expansion of (- (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in beta
* [misc]taylor:  Taking taylor expansion of (- i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (/ (/ -1 i) -1) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (- (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) 1.0) in beta
* [misc]taylor:  Taking taylor expansion of (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (* 1 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (/ 1 i)) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i) 1) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)
* [misc]taylor:  Taking taylor expansion of (/ (* (* (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (- (sqr (/ 1 (- beta))) (sqr (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) (- (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) (- (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) 1.0)) in beta
* [misc]taylor:  Taking taylor expansion of (* (* (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (- (sqr (/ 1 (- beta))) (sqr (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) (- (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) in beta
* [misc]taylor:  Taking taylor expansion of (* (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (- (sqr (/ 1 (- beta))) (sqr (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) (- (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) in beta
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (- (sqr (/ 1 (- beta))) (sqr (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) (- (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (- (sqr (/ 1 (- beta))) (sqr (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (/ 1 (- alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in beta
* [misc]taylor:  Taking taylor expansion of (- i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of (- (sqr (/ 1 (- beta))) (sqr (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (sqr (/ 1 (- beta))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ -1 1) into -1
* [misc]taylor:  Taking taylor expansion of (- (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in beta
* [misc]taylor:  Taking taylor expansion of (- i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (/ (/ -1 i) -1) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (- (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) 1.0) in beta
* [misc]taylor:  Taking taylor expansion of (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (* 1 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (/ 1 i)) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i) 1) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 i) (/ 0 (- i))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (fma (/ -1 i) 2 (/ -1 alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (- (/ 0 -1) (+ (* (/ 1 i) (/ (fma (/ -1 i) 2 (/ -1 alpha)) -1)))) into (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- (fma (/ -1 i) 2 (/ -1 alpha))) into (- (fma (/ -1 i) 2 (/ -1 alpha)))
* [misc]backup-simplify:  Simplify (+ 0 (- (fma (/ -1 i) 2 (/ -1 alpha)))) into (- (fma (/ -1 i) 2 (/ -1 alpha)))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (/ -1 alpha)) into (- (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (- (/ 1 alpha)) (/ -1 i)) into (- (+ (/ 1 i) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* 0 -1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ (- (+ (/ 1 i) (/ 1 alpha))) 1) (+ (* -1 (/ 0 1)))) into (- (+ (/ 1 alpha) (/ 1 i)))
* [misc]backup-simplify:  Simplify (+ (* -1 (- (fma (/ -1 i) 2 (/ -1 alpha)))) (* (- (+ (/ 1 alpha) (/ 1 i))) -1)) into (+ (fma (/ -1 i) 2 (/ -1 alpha)) (+ (/ 1 i) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* (+ (fma (/ -1 i) 2 (/ -1 alpha)) (+ (/ 1 i) (/ 1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) into (+ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (+ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) alpha)))
* [misc]backup-simplify:  Simplify (+ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)) (* (+ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (+ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) alpha))) (/ 1 i))) into (+ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr i)) (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* alpha i))))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (fma (/ -1 i) 2 (/ -1 alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (+ (* -1 (fma (/ -1 i) 2 (/ -1 alpha))) (* (fma (/ -1 i) 2 (/ -1 alpha)) -1)) into (- (* 2 (fma (/ -1 i) 2 (/ -1 alpha))))
* [misc]backup-simplify:  Simplify (+ (- (* 2 (fma (/ -1 i) 2 (/ -1 alpha)))) 0) into (- (* 2 (fma (/ -1 i) 2 (/ -1 alpha))))
* [misc]backup-simplify:  Simplify (- (/ (+ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr i)) (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* alpha i)))) 1) (+ (* (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i) (/ (- (* 2 (fma (/ -1 i) 2 (/ -1 alpha)))) 1)))) into (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (+ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i)) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* alpha i)))))
* [misc]taylor:  Taking taylor expansion of (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (+ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i)) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* alpha i))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i) into (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)
* [misc]taylor:  Taking taylor expansion of (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (+ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i)) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* alpha i)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i) into (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)
* [misc]taylor:  Taking taylor expansion of (+ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i)) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* alpha i))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (sqr i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr i)) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i))
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* alpha i)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (* alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* 0 i) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 i)) into i
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)
* [misc]backup-simplify:  Simplify (+ 0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)
* [misc]backup-simplify:  Simplify (+ 0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)
* [misc]backup-simplify:  Simplify (+ 0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 1) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 1) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 i) (/ 0 (- i))) (* 0 (/ 0 (- i))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 -1) (+ (* (/ 1 i) (/ 0 -1)) (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) i) (/ (fma (/ -1 i) 2 (/ -1 alpha)) -1)))) into (/ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) i)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 alpha) (/ 0 (- alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 i) (/ 0 (- i))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) 2 (/ -1 alpha))) into (sqr (fma (/ -1 i) 2 (/ -1 alpha)))
* [misc]backup-simplify:  Simplify (- (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) into (- (sqr (fma (/ -1 i) 2 (/ -1 alpha))))
* [misc]backup-simplify:  Simplify (+ 0 (- (sqr (fma (/ -1 i) 2 (/ -1 alpha))))) into (- (sqr (fma (/ -1 i) 2 (/ -1 alpha))))
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* -1 (/ (- (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) 1)) (* (- (+ (/ 1 alpha) (/ 1 i))) (/ 0 1)))) into (- (sqr (fma (/ -1 i) 2 (/ -1 alpha))))
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* (- (+ (/ 1 alpha) (/ 1 i))) (- (fma (/ -1 i) 2 (/ -1 alpha)))) (* (- (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) -1))) into (+ (/ (fma (/ -1 i) 2 (/ -1 alpha)) i) (+ (/ (fma (/ -1 i) 2 (/ -1 alpha)) alpha) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))))
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* (+ (fma (/ -1 i) 2 (/ -1 alpha)) (+ (/ 1 i) (/ 1 alpha))) 0) (* (+ (/ (fma (/ -1 i) 2 (/ -1 alpha)) i) (+ (/ (fma (/ -1 i) 2 (/ -1 alpha)) alpha) (sqr (fma (/ -1 i) 2 (/ -1 alpha))))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) into (+ (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i) (+ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) alpha)))
* [misc]backup-simplify:  Simplify (+ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (/ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) i)) (+ (* (+ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (+ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) alpha))) (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)) (* (+ (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i) (+ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) alpha))) (/ 1 i)))) into (+ (* 3 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* alpha i))) (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i)))))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) 2 (/ -1 alpha))) (* 0 -1))) into (sqr (fma (/ -1 i) 2 (/ -1 alpha)))
* [misc]backup-simplify:  Simplify (- 1.0) into (- 1.0)
* [misc]backup-simplify:  Simplify (+ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (- 1.0)) into (- (sqr (fma (/ -1 i) 2 (/ -1 alpha))) 1.0)
* [misc]backup-simplify:  Simplify (- (/ (+ (* 3 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* alpha i))) (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))))) 1) (+ (* (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i) (/ (- (sqr (fma (/ -1 i) 2 (/ -1 alpha))) 1.0) 1)) (* (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (+ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i)) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* alpha i))))) (/ (- (* 2 (fma (/ -1 i) 2 (/ -1 alpha)))) 1)))) into (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* alpha i))) (+ (* 7 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* alpha i))) (+ (* 3 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (* 1.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i))))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* alpha i))) (+ (* 7 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* alpha i))) (+ (* 3 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (* 1.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i)) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (sqr i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i)) into (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))
* [misc]taylor:  Taking taylor expansion of (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* alpha i))) (+ (* 7 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* alpha i))) (+ (* 3 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (* 1.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* alpha i))) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* alpha i)) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (* alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (* 0 i) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 i)) into i
* [misc]backup-simplify:  Simplify (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i) into (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)
* [misc]taylor:  Taking taylor expansion of (+ (* 7 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* alpha i))) (+ (* 3 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (* 1.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 7 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) in alpha
* [misc]taylor:  Taking taylor expansion of 7 in alpha
* [misc]backup-simplify:  Simplify 7 into 7
* [misc]taylor:  Taking taylor expansion of (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i) in alpha
* [misc]taylor:  Taking taylor expansion of (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ -1 i) 2 (/ -1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) 2 (/ -1 alpha))) into (sqr (fma (/ -1 i) 2 (/ -1 alpha)))
* [misc]backup-simplify:  Simplify (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) into (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i) into (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)
* [misc]taylor:  Taking taylor expansion of (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* alpha i))) (+ (* 3 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (* 1.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i)) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (sqr i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i)) into (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))
* [misc]taylor:  Taking taylor expansion of (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* alpha i))) (+ (* 3 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (* 1.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* alpha i))) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* alpha i)) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (* alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (* 0 i) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 i)) into i
* [misc]backup-simplify:  Simplify (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i) into (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)
* [misc]taylor:  Taking taylor expansion of (+ (* 3 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (* 1.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 3 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) in alpha
* [misc]taylor:  Taking taylor expansion of 3 in alpha
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i) in alpha
* [misc]taylor:  Taking taylor expansion of (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ -1 i) 2 (/ -1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) 2 (/ -1 alpha))) into (sqr (fma (/ -1 i) 2 (/ -1 alpha)))
* [misc]backup-simplify:  Simplify (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) into (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i) into (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)
* [misc]taylor:  Taking taylor expansion of (* 1.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) in alpha
* [misc]taylor:  Taking taylor expansion of 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)
* [misc]backup-simplify:  Simplify (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) into (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i))
* [misc]backup-simplify:  Simplify (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) into (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i))
* [misc]backup-simplify:  Simplify (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) 0) into (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i))
* [misc]backup-simplify:  Simplify (+ 0 (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i))) into (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i))
* [misc]backup-simplify:  Simplify (+ 0 (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i))) into (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i))
* [misc]backup-simplify:  Simplify (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i))) into (* 4 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i))
* [misc]backup-simplify:  Simplify (+ 0 (* 4 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i))) into (* 4 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i))
* [misc]taylor:  Taking taylor expansion of (* 4 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i) in i
* [misc]taylor:  Taking taylor expansion of (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) 1) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) into (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i))
* [misc]backup-simplify:  Simplify (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) into (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i))
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (* 0 i))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 i) (+ (* (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i) (/ 0 i)))) into 0
* [misc]backup-simplify:  Simplify (+ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i)) 0) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr i))
* [misc]backup-simplify:  Simplify (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr i))) into (+ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i)) (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)))
* [misc]backup-simplify:  Simplify (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (+ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i)) (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)))) into (+ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr i)) (* 4 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)))
* [misc]taylor:  Taking taylor expansion of (+ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr i)) (* 4 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i))) in i
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr i)) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (sqr i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 1) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (* 4 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) in i
* [misc]taylor:  Taking taylor expansion of 4 in i
* [misc]backup-simplify:  Simplify 4 into 4
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i) in i
* [misc]taylor:  Taking taylor expansion of (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) 1) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (+ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 0) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (- (/ 0 i) (+ (* (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i) (/ 0 i)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (+ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* (/ 1 (/ 1 (- i))) (* 1 (pow (/ 1 (- beta)) 3)))) (+ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* (/ 1 (/ 1 (- i))) (* (/ 1 (/ 1 (- alpha))) (pow (/ 1 (- beta)) 4)))) (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr (* (/ 1 (/ 1 (- i))) (* 1 (sqr (/ 1 (- beta))))))))) into (+ (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i)) (pow beta 4)) (+ (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i) (pow beta 3)) (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* alpha i)) (pow beta 4))))
* [misc]approximate:  Taking taylor expansion of (* (* (* (/ (+ (+ beta alpha) i) (- (sqr beta) (sqr (fma i 2 alpha)))) (- beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) in (beta alpha i) around 0
* [misc]taylor:  Taking taylor expansion of (* (* (* (/ (+ (+ beta alpha) i) (- (sqr beta) (sqr (fma i 2 alpha)))) (- beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (* (* (/ (+ (+ beta alpha) i) (- (sqr beta) (sqr (fma i 2 alpha)))) (- beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) in i
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ beta alpha) i) (- (sqr beta) (sqr (fma i 2 alpha)))) (- beta (fma i 2 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ beta alpha) i) (- (sqr beta) (sqr (fma i 2 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (+ (+ beta alpha) i) in i
* [misc]taylor:  Taking taylor expansion of (+ beta alpha) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (- (sqr beta) (sqr (fma i 2 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (sqr beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ beta alpha) into (+ beta alpha)
* [misc]backup-simplify:  Simplify (+ (+ beta alpha) 0) into (+ beta alpha)
* [misc]backup-simplify:  Simplify (* beta beta) into (sqr beta)
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- (sqr (fma i 2 alpha))) into (- (sqr (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (+ (sqr beta) (- (sqr (fma i 2 alpha)))) into (- (sqr beta) (sqr (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (/ (+ beta alpha) (- (sqr beta) (sqr (fma i 2 alpha)))) into (/ (+ beta alpha) (- (sqr beta) (sqr (fma i 2 alpha))))
* [misc]taylor:  Taking taylor expansion of (- beta (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (fma i (+ (+ beta alpha) i) (* alpha beta)) in i
* [misc]backup-simplify:  Simplify (fma i (+ (+ beta alpha) i) (* alpha beta)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (/ i (+ beta (fma i 2 alpha))) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ beta (fma i 2 alpha)) into (+ beta (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (/ 1 (+ beta (fma i 2 alpha))) into (/ 1 (+ beta (fma i 2 alpha)))
* [misc]taylor:  Taking taylor expansion of (* (* (* (/ (+ (+ beta alpha) i) (- (sqr beta) (sqr (fma i 2 alpha)))) (- beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (* (/ (+ (+ beta alpha) i) (- (sqr beta) (sqr (fma i 2 alpha)))) (- beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ beta alpha) i) (- (sqr beta) (sqr (fma i 2 alpha)))) (- beta (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ beta alpha) i) (- (sqr beta) (sqr (fma i 2 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ beta alpha) i) in alpha
* [misc]taylor:  Taking taylor expansion of (+ beta alpha) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (- (sqr beta) (sqr (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ beta 0) into beta
* [misc]backup-simplify:  Simplify (+ beta i) into (+ beta i)
* [misc]backup-simplify:  Simplify (* beta beta) into (sqr beta)
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- (sqr (fma i 2 alpha))) into (- (sqr (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (+ (sqr beta) (- (sqr (fma i 2 alpha)))) into (- (sqr beta) (sqr (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (/ (+ beta i) (- (sqr beta) (sqr (fma i 2 alpha)))) into (/ (+ beta i) (- (sqr beta) (sqr (fma i 2 alpha))))
* [misc]taylor:  Taking taylor expansion of (- beta (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (fma i (+ (+ beta alpha) i) (* alpha beta)) in alpha
* [misc]backup-simplify:  Simplify (fma i (+ (+ beta alpha) i) (* alpha beta)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (/ i (+ beta (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ beta (fma i 2 alpha)) into (+ beta (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (/ i (+ beta (fma i 2 alpha))) into (/ i (+ beta (fma i 2 alpha)))
* [misc]taylor:  Taking taylor expansion of (* (* (* (/ (+ (+ beta alpha) i) (- (sqr beta) (sqr (fma i 2 alpha)))) (- beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (* (* (/ (+ (+ beta alpha) i) (- (sqr beta) (sqr (fma i 2 alpha)))) (- beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) in beta
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ beta alpha) i) (- (sqr beta) (sqr (fma i 2 alpha)))) (- beta (fma i 2 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ beta alpha) i) (- (sqr beta) (sqr (fma i 2 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ beta alpha) i) in beta
* [misc]taylor:  Taking taylor expansion of (+ beta alpha) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (- (sqr beta) (sqr (fma i 2 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (sqr beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in beta
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ 0 alpha) into alpha
* [misc]backup-simplify:  Simplify (+ alpha i) into (+ alpha i)
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- (sqr (fma i 2 alpha))) into (- (sqr (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (+ 0 (- (sqr (fma i 2 alpha)))) into (- (sqr (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (/ (+ alpha i) (- (sqr (fma i 2 alpha)))) into (* -1 (/ (+ alpha i) (sqr (fma i 2 alpha))))
* [misc]taylor:  Taking taylor expansion of (- beta (fma i 2 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in beta
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (fma i (+ (+ beta alpha) i) (* alpha beta)) in beta
* [misc]backup-simplify:  Simplify (fma i (+ (+ beta alpha) i) (* alpha beta)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (/ i (+ beta (fma i 2 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in beta
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ 0 (fma i 2 alpha)) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (/ i (fma i 2 alpha)) into (/ i (fma i 2 alpha))
* [misc]taylor:  Taking taylor expansion of (* (* (* (/ (+ (+ beta alpha) i) (- (sqr beta) (sqr (fma i 2 alpha)))) (- beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (* (* (/ (+ (+ beta alpha) i) (- (sqr beta) (sqr (fma i 2 alpha)))) (- beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) in beta
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ beta alpha) i) (- (sqr beta) (sqr (fma i 2 alpha)))) (- beta (fma i 2 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ beta alpha) i) (- (sqr beta) (sqr (fma i 2 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ beta alpha) i) in beta
* [misc]taylor:  Taking taylor expansion of (+ beta alpha) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (- (sqr beta) (sqr (fma i 2 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (sqr beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in beta
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ 0 alpha) into alpha
* [misc]backup-simplify:  Simplify (+ alpha i) into (+ alpha i)
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- (sqr (fma i 2 alpha))) into (- (sqr (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (+ 0 (- (sqr (fma i 2 alpha)))) into (- (sqr (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (/ (+ alpha i) (- (sqr (fma i 2 alpha)))) into (* -1 (/ (+ alpha i) (sqr (fma i 2 alpha))))
* [misc]taylor:  Taking taylor expansion of (- beta (fma i 2 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in beta
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (fma i (+ (+ beta alpha) i) (* alpha beta)) in beta
* [misc]backup-simplify:  Simplify (fma i (+ (+ beta alpha) i) (* alpha beta)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (/ i (+ beta (fma i 2 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (+ beta (fma i 2 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in beta
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ 0 (fma i 2 alpha)) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (/ i (fma i 2 alpha)) into (/ i (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- (fma i 2 alpha)) into (- (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (+ 0 (- (fma i 2 alpha))) into (- (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* (* -1 (/ (+ alpha i) (sqr (fma i 2 alpha)))) (- (fma i 2 alpha))) into (/ (+ alpha i) (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* (/ (+ alpha i) (fma i 2 alpha)) (fma i (+ beta (+ alpha i)) (* beta alpha))) into (/ (* (+ alpha i) (fma i (+ beta (+ alpha i)) (* beta alpha))) (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* (/ (* (+ alpha i) (fma i (+ beta (+ alpha i)) (* beta alpha))) (fma i 2 alpha)) (/ i (fma i 2 alpha))) into (/ (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (sqr (fma i 2 alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (sqr (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ 0 i) into i
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) into (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)
* [misc]backup-simplify:  Simplify (* i (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) into (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (sqr (fma i 2 alpha))) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (sqr (fma i 2 alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (sqr (fma i 2 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) in i
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in i
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (sqr i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 1) (+ (* 0 0) (* 0 0))) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr (fma i 2 alpha))) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (- (/ 0 (fma i 2 alpha)) (+ (* (/ i (fma i 2 alpha)) (/ 1 (fma i 2 alpha))))) into (- (/ i (sqr (fma i 2 alpha))))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 0) (* 0 (fma i 2 alpha))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 1 (- (sqr (fma i 2 alpha)))) (+ (* (* -1 (/ (+ alpha i) (sqr (fma i 2 alpha)))) (/ 0 (- (sqr (fma i 2 alpha))))))) into (- (/ 1 (sqr (fma i 2 alpha))))
* [misc]backup-simplify:  Simplify (+ (* (* -1 (/ (+ alpha i) (sqr (fma i 2 alpha)))) 1) (* (- (/ 1 (sqr (fma i 2 alpha)))) (- (fma i 2 alpha)))) into (- (/ 1 (fma i 2 alpha)) (+ (/ i (sqr (fma i 2 alpha))) (/ alpha (sqr (fma i 2 alpha)))))
* [misc]backup-simplify:  Simplify (+ (* (/ (+ alpha i) (fma i 2 alpha)) 0) (* (- (/ 1 (fma i 2 alpha)) (+ (/ i (sqr (fma i 2 alpha))) (/ alpha (sqr (fma i 2 alpha))))) (fma i (+ beta (+ alpha i)) (* beta alpha)))) into (- (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha)) (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) alpha) (sqr (fma i 2 alpha))) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha)))))
* [misc]backup-simplify:  Simplify (+ (* (/ (* (+ alpha i) (fma i (+ beta (+ alpha i)) (* beta alpha))) (fma i 2 alpha)) (- (/ i (sqr (fma i 2 alpha))))) (* (- (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha)) (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) alpha) (sqr (fma i 2 alpha))) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha))))) (/ i (fma i 2 alpha)))) into (- (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha))) (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (fma i 2 alpha) 3))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (pow (fma i 2 alpha) 3)))))
* [misc]taylor:  Taking taylor expansion of (- (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha))) (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (fma i 2 alpha) 3))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (pow (fma i 2 alpha) 3))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) into (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha))) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha)))
* [misc]taylor:  Taking taylor expansion of (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (fma i 2 alpha) 3))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (pow (fma i 2 alpha) 3)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (fma i 2 alpha) 3))) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (fma i 2 alpha) 3)) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (sqr i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (pow (fma i 2 alpha) 3) in alpha
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (fma i 2 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 3 (log (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of 3 in alpha
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (log (fma i 2 alpha)) into (log (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* 3 (log (fma i 2 alpha))) into (* 3 (log (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (fma i 2 alpha)))) into (pow (fma i 2 alpha) 3)
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) into (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i))
* [misc]backup-simplify:  Simplify (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (fma i 2 alpha) 3)) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (fma i 2 alpha) 3))
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (pow (fma i 2 alpha) 3))) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (pow (fma i 2 alpha) 3)) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (* alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]taylor:  Taking taylor expansion of (pow (fma i 2 alpha) 3) in alpha
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (fma i 2 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 3 (log (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of 3 in alpha
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (log (fma i 2 alpha)) into (log (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* 3 (log (fma i 2 alpha))) into (* 3 (log (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (fma i 2 alpha)))) into (pow (fma i 2 alpha) 3)
* [misc]backup-simplify:  Simplify (* 0 i) into 0
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 i)) into i
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* 0 0)) into (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)
* [misc]backup-simplify:  Simplify (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (pow (fma i 2 alpha) 3)) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (pow (fma i 2 alpha) 3))
* [misc]backup-simplify:  Simplify (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (fma i 2 alpha) 3))) into (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (fma i 2 alpha) 3)))
* [misc]backup-simplify:  Simplify (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (fma i 2 alpha) 3))) 0) into (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (fma i 2 alpha) 3)))
* [misc]backup-simplify:  Simplify (- (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (fma i 2 alpha) 3)))) into (- (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (fma i 2 alpha) 3))))
* [misc]backup-simplify:  Simplify (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha))) (- (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (fma i 2 alpha) 3))))) into (- (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (fma i 2 alpha) 3))))
* [misc]taylor:  Taking taylor expansion of (- (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (fma i 2 alpha) 3)))) in i
* [misc]taylor:  Taking taylor expansion of (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) in i
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in i
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 1) (* 0 0)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr (fma i 2 alpha))) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr (fma i 2 alpha)))
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (fma i 2 alpha) 3))) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (fma i 2 alpha) 3)) in i
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) in i
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in i
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (sqr i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (pow (fma i 2 alpha) 3) in i
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (fma i 2 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (log (fma i 2 alpha))) in i
* [misc]taylor:  Taking taylor expansion of 3 in i
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (log (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (log (fma i 2 alpha)) into (log (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* 3 (log (fma i 2 alpha))) into (* 3 (log (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (fma i 2 alpha)))) into (pow (fma i 2 alpha) 3)
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) (* 0 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 1) (+ (* 0 0) (* 0 0))) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]backup-simplify:  Simplify (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (pow (fma i 2 alpha) 3)) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (pow (fma i 2 alpha) 3))
* [misc]backup-simplify:  Simplify (+ (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr (fma i 2 alpha))) 0) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr (fma i 2 alpha))) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) (* 0 i)) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ (* i 0) (* 1 (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i))) into (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 0) (* 0 (fma i 2 alpha))) into 0
* [misc]backup-simplify:  Simplify (- (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha))) (+ (* (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (sqr (fma i 2 alpha))) (/ 0 (sqr (fma i 2 alpha)))))) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) in i
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ alpha i)) (* beta alpha)) in i
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ alpha i)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 1) (* 0 0)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr (fma i 2 alpha))) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr (fma i 2 alpha))) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr (fma i 2 alpha))) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (+ (* (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr (fma i 2 alpha))) (sqr (* i (* 1 1)))) (+ (* (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr (fma i 2 alpha))) (* i (* alpha 1))) (* (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr (fma i 2 alpha))) (* i (* 1 beta))))) into (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* beta i)) (sqr (fma i 2 alpha))) (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (sqr (fma i 2 alpha))) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (sqr (fma i 2 alpha)))))
* [misc]approximate:  Taking taylor expansion of (* (* (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (- (sqr (/ 1 beta)) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))) (- (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) in (beta alpha i) around 0
* [misc]taylor:  Taking taylor expansion of (* (* (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (- (sqr (/ 1 beta)) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))) (- (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (* (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (- (sqr (/ 1 beta)) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))) (- (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) in i
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (- (sqr (/ 1 beta)) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))) (- (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (- (sqr (/ 1 beta)) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) in i
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (/ 1 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (- (sqr (/ 1 beta)) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (sqr (/ 1 beta)) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ 1 i) 2 (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (* (/ 1 beta) (/ 1 beta)) into (/ 1 (sqr beta))
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 i) 2 (/ 1 alpha))) into (sqr (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (- (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) into (- (sqr (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (+ (/ 1 (sqr beta)) (- (sqr (fma (/ 1 i) 2 (/ 1 alpha))))) into (- (/ 1 (sqr beta)) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (/ 1 (- (/ 1 (sqr beta)) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))) into (/ 1 (- (/ 1 (sqr beta)) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))))
* [misc]taylor:  Taking taylor expansion of (- (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) into (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) into (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (* (* (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (- (sqr (/ 1 beta)) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))) (- (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (- (sqr (/ 1 beta)) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))) (- (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (- (sqr (/ 1 beta)) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))) (- (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (- (sqr (/ 1 beta)) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (/ 1 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (- (sqr (/ 1 beta)) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (/ 1 beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ 1 i) 2 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (* (/ 1 beta) (/ 1 beta)) into (/ 1 (sqr beta))
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 i) 2 (/ 1 alpha))) into (sqr (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (- (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) into (- (sqr (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (+ (/ 1 (sqr beta)) (- (sqr (fma (/ 1 i) 2 (/ 1 alpha))))) into (- (/ 1 (sqr beta)) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (/ 1 (- (/ 1 (sqr beta)) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))) into (/ 1 (- (/ 1 (sqr beta)) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))))
* [misc]taylor:  Taking taylor expansion of (- (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) into (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) into (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))
* [misc]taylor:  Taking taylor expansion of (* (* (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (- (sqr (/ 1 beta)) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))) (- (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (* (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (- (sqr (/ 1 beta)) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))) (- (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) in beta
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (- (sqr (/ 1 beta)) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))) (- (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (- (sqr (/ 1 beta)) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (/ 1 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (- (sqr (/ 1 beta)) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (sqr (/ 1 beta)) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ 1 i) 2 (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (- (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (/ 1 i) 1) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (* (* (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (- (sqr (/ 1 beta)) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))) (- (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (* (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (- (sqr (/ 1 beta)) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))) (- (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) in beta
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (- (sqr (/ 1 beta)) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))) (- (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (- (sqr (/ 1 beta)) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (/ 1 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (/ 1 alpha) into (/ 1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (- (sqr (/ 1 beta)) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (sqr (/ 1 beta)) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ 1 i) 2 (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (- (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ 1 i) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (/ 1 i) 1) into (/ 1 i)
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (* 1 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (/ 1 i)) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (fma (/ 1 i) 2 (/ 1 alpha))) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (/ 1 i) (/ (fma (/ 1 i) 2 (/ 1 alpha)) 1)))) into (- (/ (fma (/ 1 i) 2 (/ 1 alpha)) i))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (fma (/ 1 i) 2 (/ 1 alpha))) into (- (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (+ 0 (- (fma (/ 1 i) 2 (/ 1 alpha)))) into (- (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (/ 1 alpha)) into (/ 1 alpha)
* [misc]backup-simplify:  Simplify (+ (/ 1 alpha) (/ 1 i)) into (+ (/ 1 i) (/ 1 alpha))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ (+ (/ 1 i) (/ 1 alpha)) 1) (+ (* 1 (/ 0 1)))) into (+ (/ 1 i) (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (* 1 (- (fma (/ 1 i) 2 (/ 1 alpha)))) (* (+ (/ 1 i) (/ 1 alpha)) 1)) into (- (+ (/ 1 i) (/ 1 alpha)) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* (- (+ (/ 1 i) (/ 1 alpha)) (fma (/ 1 i) 2 (/ 1 alpha))) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))) into (- (+ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) alpha)) (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (+ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (- (/ (fma (/ 1 i) 2 (/ 1 alpha)) i))) (* (- (+ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) alpha)) (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))) (/ 1 i))) into (- (+ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i))) (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))
* [misc]taylor:  Taking taylor expansion of (- (+ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i))) (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (sqr i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i))
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (* alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* 0 i) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 i)) into i
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) into (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i) into (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)
* [misc]backup-simplify:  Simplify (+ 0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)
* [misc]backup-simplify:  Simplify (+ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) 0) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 1) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 1) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 i) (/ 0 i)) (* 0 (/ 0 i)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (/ 1 i) (/ 0 1)) (* (- (/ (fma (/ 1 i) 2 (/ 1 alpha)) i)) (/ (fma (/ 1 i) 2 (/ 1 alpha)) 1)))) into (/ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) i)
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 i) 2 (/ 1 alpha))) into (sqr (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (- (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) into (- (sqr (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (+ 0 (- (sqr (fma (/ 1 i) 2 (/ 1 alpha))))) into (- (sqr (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* 1 (/ (- (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) 1)) (* (+ (/ 1 i) (/ 1 alpha)) (/ 0 1)))) into (sqr (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* (+ (/ 1 i) (/ 1 alpha)) (- (fma (/ 1 i) 2 (/ 1 alpha)))) (* (sqr (fma (/ 1 i) 2 (/ 1 alpha))) 1))) into (- (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (+ (/ (fma (/ 1 i) 2 (/ 1 alpha)) i) (/ (fma (/ 1 i) 2 (/ 1 alpha)) alpha)))
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* (- (+ (/ 1 i) (/ 1 alpha)) (fma (/ 1 i) 2 (/ 1 alpha))) 0) (* (- (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (+ (/ (fma (/ 1 i) 2 (/ 1 alpha)) i) (/ (fma (/ 1 i) 2 (/ 1 alpha)) alpha))) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))))) into (- (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (+ (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) alpha) (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))
* [misc]backup-simplify:  Simplify (+ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (/ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) i)) (+ (* (- (+ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) alpha)) (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))) (- (/ (fma (/ 1 i) 2 (/ 1 alpha)) i))) (* (- (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (+ (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) alpha) (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i))) (/ 1 i)))) into (- (* 3 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)) (+ (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (* alpha i)))))
* [misc]taylor:  Taking taylor expansion of (- (* 3 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)) (+ (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (* alpha i))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 3 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)) in alpha
* [misc]taylor:  Taking taylor expansion of 3 in alpha
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ 1 i) 2 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 i) 2 (/ 1 alpha))) into (sqr (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) into (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i) into (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)
* [misc]taylor:  Taking taylor expansion of (+ (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (* alpha i)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i)) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (sqr i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) into (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i)) into (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (* alpha i))) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (* alpha i)) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (* alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) into (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* 0 i) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 i)) into i
* [misc]backup-simplify:  Simplify (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i) into (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)
* [misc]backup-simplify:  Simplify (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)) into (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i))
* [misc]backup-simplify:  Simplify (+ 0 (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i))) into (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i))
* [misc]backup-simplify:  Simplify (- (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i))) into (- (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))
* [misc]backup-simplify:  Simplify (+ 0 (- (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))) into (- (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))
* [misc]taylor:  Taking taylor expansion of (- (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i) in i
* [misc]taylor:  Taking taylor expansion of (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) into (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) 1) into (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (* 0 i))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 i) (+ (* (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) (/ 0 i)))) into 0
* [misc]backup-simplify:  Simplify (+ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) 0) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i))
* [misc]backup-simplify:  Simplify (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)) into (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i))
* [misc]backup-simplify:  Simplify (- (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i))) into (- (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))
* [misc]backup-simplify:  Simplify (+ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) (- (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))) into (- (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)))
* [misc]taylor:  Taking taylor expansion of (- (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i))) in i
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (sqr i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 1) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i) in i
* [misc]taylor:  Taking taylor expansion of (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) into (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) 1) into (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (+ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 0) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (- (/ 0 i) (+ (* (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) (/ 0 i)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (+ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (/ 1 (/ 1 i)) (* 1 (/ 1 beta)))) (+ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (/ 1 (/ 1 i)) (* (/ 1 (/ 1 alpha)) (sqr (/ 1 beta))))) (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (* (/ 1 (/ 1 i)) (* 1 (/ 1 beta))))))) into (+ (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) beta) (+ (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i)) (sqr beta)) (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) (sqr beta))))
* [misc]approximate:  Taking taylor expansion of (* (* (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (- (sqr (/ 1 (- beta))) (sqr (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) (- (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) in (beta alpha i) around 0
* [misc]taylor:  Taking taylor expansion of (* (* (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (- (sqr (/ 1 (- beta))) (sqr (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) (- (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) in i
* [misc]taylor:  Taking taylor expansion of (* (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (- (sqr (/ 1 (- beta))) (sqr (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) (- (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) in i
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (- (sqr (/ 1 (- beta))) (sqr (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) (- (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (- (sqr (/ 1 (- beta))) (sqr (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) in i
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) in i
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (/ 1 (- alpha))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in i
* [misc]taylor:  Taking taylor expansion of (- beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in i
* [misc]taylor:  Taking taylor expansion of (- alpha) in i
* [misc]taylor:  Taking taylor expansion of alpha in i
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in i
* [misc]taylor:  Taking taylor expansion of (- i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (- (sqr (/ 1 (- beta))) (sqr (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (sqr (/ 1 (- beta))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in i
* [misc]taylor:  Taking taylor expansion of (- beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (* (/ -1 beta) (/ -1 beta)) into (/ 1 (sqr beta))
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) 2 (/ -1 alpha))) into (sqr (fma (/ -1 i) 2 (/ -1 alpha)))
* [misc]backup-simplify:  Simplify (- (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) into (- (sqr (fma (/ -1 i) 2 (/ -1 alpha))))
* [misc]backup-simplify:  Simplify (+ (/ 1 (sqr beta)) (- (sqr (fma (/ -1 i) 2 (/ -1 alpha))))) into (- (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha))))
* [misc]backup-simplify:  Simplify (/ -1 (- (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha))))) into (/ -1 (- (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))))
* [misc]taylor:  Taking taylor expansion of (- (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in i
* [misc]taylor:  Taking taylor expansion of (- beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in i
* [misc]taylor:  Taking taylor expansion of (- i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in i
* [misc]taylor:  Taking taylor expansion of (- beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (+ (/ -1 beta) (fma (/ -1 i) 2 (/ -1 alpha))) into (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))
* [misc]backup-simplify:  Simplify (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) into (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))
* [misc]taylor:  Taking taylor expansion of (* (* (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (- (sqr (/ 1 (- beta))) (sqr (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) (- (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (- (sqr (/ 1 (- beta))) (sqr (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) (- (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (- (sqr (/ 1 (- beta))) (sqr (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) (- (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (- (sqr (/ 1 (- beta))) (sqr (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (/ 1 (- alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (- alpha) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in alpha
* [misc]taylor:  Taking taylor expansion of (- i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of (- (sqr (/ 1 (- beta))) (sqr (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (/ 1 (- beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (* (/ -1 beta) (/ -1 beta)) into (/ 1 (sqr beta))
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) 2 (/ -1 alpha))) into (sqr (fma (/ -1 i) 2 (/ -1 alpha)))
* [misc]backup-simplify:  Simplify (- (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) into (- (sqr (fma (/ -1 i) 2 (/ -1 alpha))))
* [misc]backup-simplify:  Simplify (+ (/ 1 (sqr beta)) (- (sqr (fma (/ -1 i) 2 (/ -1 alpha))))) into (- (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha))))
* [misc]backup-simplify:  Simplify (/ -1 (- (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha))))) into (/ -1 (- (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))))
* [misc]taylor:  Taking taylor expansion of (- (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in alpha
* [misc]taylor:  Taking taylor expansion of (- i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (+ (/ -1 beta) (fma (/ -1 i) 2 (/ -1 alpha))) into (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))
* [misc]backup-simplify:  Simplify (/ (/ -1 i) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) into (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))
* [misc]taylor:  Taking taylor expansion of (* (* (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (- (sqr (/ 1 (- beta))) (sqr (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) (- (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) in beta
* [misc]taylor:  Taking taylor expansion of (* (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (- (sqr (/ 1 (- beta))) (sqr (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) (- (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) in beta
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (- (sqr (/ 1 (- beta))) (sqr (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) (- (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (- (sqr (/ 1 (- beta))) (sqr (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (/ 1 (- alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in beta
* [misc]taylor:  Taking taylor expansion of (- i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of (- (sqr (/ 1 (- beta))) (sqr (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (sqr (/ 1 (- beta))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ -1 1) into -1
* [misc]taylor:  Taking taylor expansion of (- (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in beta
* [misc]taylor:  Taking taylor expansion of (- i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (/ (/ -1 i) -1) into (/ 1 i)
* [misc]taylor:  Taking taylor expansion of (* (* (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (- (sqr (/ 1 (- beta))) (sqr (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) (- (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) in beta
* [misc]taylor:  Taking taylor expansion of (* (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (- (sqr (/ 1 (- beta))) (sqr (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) (- (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) in beta
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (- (sqr (/ 1 (- beta))) (sqr (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) (- (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (- (sqr (/ 1 (- beta))) (sqr (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) in beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (/ 1 (- alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (- alpha) in beta
* [misc]taylor:  Taking taylor expansion of alpha in beta
* [misc]backup-simplify:  Simplify alpha into alpha
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (/ 1 (- alpha)) into (/ -1 alpha)
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in beta
* [misc]taylor:  Taking taylor expansion of (- i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of (- (sqr (/ 1 (- beta))) (sqr (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (sqr (/ 1 (- beta))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ -1 1) into -1
* [misc]taylor:  Taking taylor expansion of (- (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- i)) in beta
* [misc]taylor:  Taking taylor expansion of (- i) in beta
* [misc]taylor:  Taking taylor expansion of i in beta
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (/ 1 (- i)) into (/ -1 i)
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (/ (/ -1 i) -1) into (/ 1 i)
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (* 1 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (/ 1 i)) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 i) (/ 0 (- i))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (fma (/ -1 i) 2 (/ -1 alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (- (/ 0 -1) (+ (* (/ 1 i) (/ (fma (/ -1 i) 2 (/ -1 alpha)) -1)))) into (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- (fma (/ -1 i) 2 (/ -1 alpha))) into (- (fma (/ -1 i) 2 (/ -1 alpha)))
* [misc]backup-simplify:  Simplify (+ 0 (- (fma (/ -1 i) 2 (/ -1 alpha)))) into (- (fma (/ -1 i) 2 (/ -1 alpha)))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 (/ -1 alpha)) into (- (/ 1 alpha))
* [misc]backup-simplify:  Simplify (+ (- (/ 1 alpha)) (/ -1 i)) into (- (+ (/ 1 i) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* 0 -1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ (- (+ (/ 1 i) (/ 1 alpha))) 1) (+ (* -1 (/ 0 1)))) into (- (+ (/ 1 alpha) (/ 1 i)))
* [misc]backup-simplify:  Simplify (+ (* -1 (- (fma (/ -1 i) 2 (/ -1 alpha)))) (* (- (+ (/ 1 alpha) (/ 1 i))) -1)) into (+ (fma (/ -1 i) 2 (/ -1 alpha)) (+ (/ 1 i) (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* (+ (fma (/ -1 i) 2 (/ -1 alpha)) (+ (/ 1 i) (/ 1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) into (+ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (+ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) alpha)))
* [misc]backup-simplify:  Simplify (+ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)) (* (+ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (+ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) alpha))) (/ 1 i))) into (+ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr i)) (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* alpha i))))
* [misc]taylor:  Taking taylor expansion of (+ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr i)) (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* alpha i)))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr i)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (sqr i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i)) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr i))
* [misc]taylor:  Taking taylor expansion of (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* alpha i))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i) into (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* alpha i)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (* alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* 0 i) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 i)) into i
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)
* [misc]backup-simplify:  Simplify (+ 0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)
* [misc]backup-simplify:  Simplify (+ 0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 1) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 1) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 i) (/ 0 (- i))) (* 0 (/ 0 (- i))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 -1) (+ (* (/ 1 i) (/ 0 -1)) (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) i) (/ (fma (/ -1 i) 2 (/ -1 alpha)) -1)))) into (/ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) i)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- alpha) into (- alpha)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 alpha) (/ 0 (- alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- i) into (- i)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 i) (/ 0 (- i))))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) 2 (/ -1 alpha))) into (sqr (fma (/ -1 i) 2 (/ -1 alpha)))
* [misc]backup-simplify:  Simplify (- (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) into (- (sqr (fma (/ -1 i) 2 (/ -1 alpha))))
* [misc]backup-simplify:  Simplify (+ 0 (- (sqr (fma (/ -1 i) 2 (/ -1 alpha))))) into (- (sqr (fma (/ -1 i) 2 (/ -1 alpha))))
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* -1 (/ (- (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) 1)) (* (- (+ (/ 1 alpha) (/ 1 i))) (/ 0 1)))) into (- (sqr (fma (/ -1 i) 2 (/ -1 alpha))))
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* (- (+ (/ 1 alpha) (/ 1 i))) (- (fma (/ -1 i) 2 (/ -1 alpha)))) (* (- (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) -1))) into (+ (/ (fma (/ -1 i) 2 (/ -1 alpha)) i) (+ (/ (fma (/ -1 i) 2 (/ -1 alpha)) alpha) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))))
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* (+ (fma (/ -1 i) 2 (/ -1 alpha)) (+ (/ 1 i) (/ 1 alpha))) 0) (* (+ (/ (fma (/ -1 i) 2 (/ -1 alpha)) i) (+ (/ (fma (/ -1 i) 2 (/ -1 alpha)) alpha) (sqr (fma (/ -1 i) 2 (/ -1 alpha))))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) into (+ (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i) (+ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) alpha)))
* [misc]backup-simplify:  Simplify (+ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (/ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) i)) (+ (* (+ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (+ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) alpha))) (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)) (* (+ (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i) (+ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) alpha))) (/ 1 i)))) into (+ (* 3 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* alpha i))) (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i)))))
* [misc]taylor:  Taking taylor expansion of (+ (* 3 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* alpha i))) (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 3 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) in alpha
* [misc]taylor:  Taking taylor expansion of 3 in alpha
* [misc]backup-simplify:  Simplify 3 into 3
* [misc]taylor:  Taking taylor expansion of (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i) in alpha
* [misc]taylor:  Taking taylor expansion of (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ -1 i) 2 (/ -1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) 2 (/ -1 alpha))) into (sqr (fma (/ -1 i) 2 (/ -1 alpha)))
* [misc]backup-simplify:  Simplify (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) into (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i) into (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)
* [misc]taylor:  Taking taylor expansion of (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* alpha i))) (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* alpha i))) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* alpha i)) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (* alpha i) in alpha
* [misc]taylor:  Taking taylor expansion of alpha in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (* 0 i) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 i)) into i
* [misc]backup-simplify:  Simplify (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i) into (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) in alpha
* [misc]taylor:  Taking taylor expansion of 2 in alpha
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i)) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (sqr i) in alpha
* [misc]taylor:  Taking taylor expansion of i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i)) into (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))
* [misc]backup-simplify:  Simplify (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) into (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i))
* [misc]backup-simplify:  Simplify (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) 0) into (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i))
* [misc]backup-simplify:  Simplify (+ 0 (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i))) into (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i))
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i) in i
* [misc]taylor:  Taking taylor expansion of (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) 1) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) into (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i))
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (* 0 i))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 i) (+ (* (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i) (/ 0 i)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) 0) into (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i))
* [misc]backup-simplify:  Simplify (+ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr i)) (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i))) into (+ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i)) (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)))
* [misc]taylor:  Taking taylor expansion of (+ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i)) (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i))) in i
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i)) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (sqr i) in i
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 1) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) in i
* [misc]taylor:  Taking taylor expansion of 2 in i
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i) in i
* [misc]taylor:  Taking taylor expansion of (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) 1) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (+ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 0) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (- (/ 0 i) (+ (* (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i) (/ 0 i)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (+ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* (/ 1 (/ 1 (- i))) (* 1 (/ 1 (- beta))))) (+ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* (/ 1 (/ 1 (- i))) (* (/ 1 (/ 1 (- alpha))) (sqr (/ 1 (- beta)))))) (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr (* (/ 1 (/ 1 (- i))) (* 1 (/ 1 (- beta)))))))) into (+ (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i) beta) (+ (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr i)) (sqr beta)) (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* alpha i)) (sqr beta))))
* [misc]approximate:  Taking taylor expansion of (- (sqr beta) (sqr (fma i 2 alpha))) in (beta i alpha) around 0
* [misc]taylor:  Taking taylor expansion of (- (sqr beta) (sqr (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (- (sqr beta) (sqr (fma i 2 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (sqr beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (- (sqr beta) (sqr (fma i 2 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (sqr beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in beta
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]taylor:  Taking taylor expansion of (- (sqr beta) (sqr (fma i 2 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (sqr beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in beta
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- (sqr (fma i 2 alpha))) into (- (sqr (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (+ 0 (- (sqr (fma i 2 alpha)))) into (- (sqr (fma i 2 alpha)))
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in i
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- (sqr (fma i 2 alpha))) into (- (sqr (fma i 2 alpha)))
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i 2 alpha) in alpha
* [misc]backup-simplify:  Simplify (fma i 2 alpha) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (- (sqr (fma i 2 alpha))) into (- (sqr (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (- (sqr (fma i 2 alpha))) into (- (sqr (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 0) (* 0 (fma i 2 alpha))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 0) (* 0 (fma i 2 alpha))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 0) (* 0 (fma i 2 alpha))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 0) (+ (* 0 0) (* 0 (fma i 2 alpha)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]taylor:  Taking taylor expansion of 1 in i
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 1 in alpha
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 0) (+ (* 0 0) (* 0 (fma i 2 alpha)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 0) (+ (* 0 0) (* 0 (fma i 2 alpha)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (fma i 2 alpha))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 1 (sqr (* 1 (* 1 beta)))) (- (sqr (fma i 2 alpha)))) into (- (sqr beta) (sqr (fma i 2 alpha)))
* [misc]approximate:  Taking taylor expansion of (- (sqr (/ 1 beta)) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) in (beta i alpha) around 0
* [misc]taylor:  Taking taylor expansion of (- (sqr (/ 1 beta)) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (/ 1 beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ 1 i) 2 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (- (sqr (/ 1 beta)) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (sqr (/ 1 beta)) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (/ 1 beta) into (/ 1 beta)
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ 1 i) 2 (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (- (sqr (/ 1 beta)) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (sqr (/ 1 beta)) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ 1 i) 2 (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]taylor:  Taking taylor expansion of (- (sqr (/ 1 beta)) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (sqr (/ 1 beta)) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ 1 i) 2 (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]taylor:  Taking taylor expansion of 1 in i
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 1 in alpha
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 i) 2 (/ 1 alpha))) into (sqr (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (- (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) into (- (sqr (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (+ 0 (- (sqr (fma (/ 1 i) 2 (/ 1 alpha))))) into (- (sqr (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ 1 i) 2 (/ 1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 i) 2 (/ 1 alpha))) into (sqr (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (- (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) into (- (sqr (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ 1 i) 2 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) 2 (/ 1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (fma (/ 1 i) 2 (/ 1 alpha))
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 i) 2 (/ 1 alpha))) into (sqr (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (- (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) into (- (sqr (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (- (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) into (- (sqr (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma (/ 1 i) 2 (/ 1 alpha)) 0) (* 0 (fma (/ 1 i) 2 (/ 1 alpha)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (- (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (* 1 (sqr (* 1 (* 1 (/ 1 (/ 1 beta))))))) into (- (sqr beta) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]approximate:  Taking taylor expansion of (- (sqr (/ 1 (- beta))) (sqr (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in (beta i alpha) around 0
* [misc]taylor:  Taking taylor expansion of (- (sqr (/ 1 (- beta))) (sqr (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (/ 1 (- beta))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in alpha
* [misc]taylor:  Taking taylor expansion of (- beta) in alpha
* [misc]taylor:  Taking taylor expansion of beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (- (sqr (/ 1 (- beta))) (sqr (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (sqr (/ 1 (- beta))) in i
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in i
* [misc]taylor:  Taking taylor expansion of (- beta) in i
* [misc]taylor:  Taking taylor expansion of beta in i
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (- beta) into (- beta)
* [misc]backup-simplify:  Simplify (/ 1 (- beta)) into (/ -1 beta)
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (- (sqr (/ 1 (- beta))) (sqr (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (sqr (/ 1 (- beta))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]taylor:  Taking taylor expansion of (- (sqr (/ 1 (- beta))) (sqr (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (sqr (/ 1 (- beta))) in beta
* [misc]taylor:  Taking taylor expansion of (/ 1 (- beta)) in beta
* [misc]taylor:  Taking taylor expansion of (- beta) in beta
* [misc]taylor:  Taking taylor expansion of beta in beta
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]taylor:  Taking taylor expansion of 1 in i
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 1 in alpha
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* 0 -1)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) 2 (/ -1 alpha))) into (sqr (fma (/ -1 i) 2 (/ -1 alpha)))
* [misc]backup-simplify:  Simplify (- (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) into (- (sqr (fma (/ -1 i) 2 (/ -1 alpha))))
* [misc]backup-simplify:  Simplify (+ 0 (- (sqr (fma (/ -1 i) 2 (/ -1 alpha))))) into (- (sqr (fma (/ -1 i) 2 (/ -1 alpha))))
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ -1 i) 2 (/ -1 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in i
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) 2 (/ -1 alpha))) into (sqr (fma (/ -1 i) 2 (/ -1 alpha)))
* [misc]backup-simplify:  Simplify (- (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) into (- (sqr (fma (/ -1 i) 2 (/ -1 alpha))))
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (fma (/ -1 i) 2 (/ -1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 i) 2 (/ -1 alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma (/ -1 i) 2 (/ -1 alpha)) into (fma (/ -1 i) 2 (/ -1 alpha))
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) 2 (/ -1 alpha))) into (sqr (fma (/ -1 i) 2 (/ -1 alpha)))
* [misc]backup-simplify:  Simplify (- (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) into (- (sqr (fma (/ -1 i) 2 (/ -1 alpha))))
* [misc]backup-simplify:  Simplify (- (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) into (- (sqr (fma (/ -1 i) 2 (/ -1 alpha))))
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma (/ -1 i) 2 (/ -1 alpha)) 0) (* 0 (fma (/ -1 i) 2 (/ -1 alpha)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (- (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (* 1 (sqr (* 1 (* 1 (/ 1 (/ 1 (- beta)))))))) into (- (sqr beta) (sqr (fma (/ -1 i) 2 (/ -1 alpha))))
* * * [misc]progress:  simplifying alt 1 of 120
* [enter]simplify:  Simplifying (* (- (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (fma (fma beta 2 (fma (/ 1 i) 2 (/ 1 alpha))) (fma (/ 1 i) 2 (/ 1 alpha)) (- (sqr beta) 1.0)) (fma i 2 alpha))) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr beta) i)) (* (fma (fma beta 2 (fma (/ 1 i) 2 (/ 1 alpha))) (fma (/ 1 i) 2 (/ 1 alpha)) (- (sqr beta) 1.0)) (pow (fma i 2 alpha) 3)))) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* beta i)) (* (fma (fma beta 2 (fma (/ 1 i) 2 (/ 1 alpha))) (fma (/ 1 i) 2 (/ 1 alpha)) (- (sqr beta) 1.0)) (sqr (fma i 2 alpha))))) (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)))
* * [misc]simplify:  iters left: 3 (38 enodes)
* * [misc]simplify:  iters left: 2 (81 enodes)
* * [misc]simplify:  iters left: 1 (175 enodes)
* [exit]simplify:  Simplified to (* (/ (+ beta (+ i alpha)) (+ beta (fma i 2 alpha))) (* (/ (fma i (+ beta (+ i alpha)) (* beta alpha)) (fma (fma beta 2 (fma (/ 1 i) 2 (/ 1 alpha))) (fma (/ 1 i) 2 (/ 1 alpha)) (- (* beta beta) 1.0))) (+ (/ i (fma i 2 alpha)) (- (/ (* i (* beta beta)) (cube (fma i 2 alpha))) (* (/ i (fma i 2 alpha)) (/ beta (fma i 2 alpha)))))))
* [misc]none:  prog is (λ (alpha beta i) (* (/ (+ beta (+ i alpha)) (+ beta (fma i 2 alpha))) (* (/ (fma i (+ beta (+ i alpha)) (* beta alpha)) (fma (fma beta 2 (fma (/ 1 i) 2 (/ 1 alpha))) (fma (/ 1 i) 2 (/ 1 alpha)) (- (* beta beta) 1.0))) (+ (/ i (fma i 2 alpha)) (- (/ (* i (* beta beta)) (cube (fma i 2 alpha))) (* (/ i (fma i 2 alpha)) (/ beta (fma i 2 alpha))))))))
* * * [misc]progress:  simplifying alt 2 of 120
* [enter]simplify:  Simplifying (* (- (+ (/ (* (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* i (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))))) (* (pow beta 3) (fma (fma (/ 1 beta) 2 (fma i 2 alpha)) (fma i 2 alpha) (- (/ 1 (sqr beta)) 1.0)))) (/ (* i (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha)))) (* beta (fma (fma (/ 1 beta) 2 (fma i 2 alpha)) (fma i 2 alpha) (- (/ 1 (sqr beta)) 1.0))))) (/ (* (fma (/ 1 i) 2 (/ 1 alpha)) (* i (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))))) (* (sqr beta) (fma (fma (/ 1 beta) 2 (fma i 2 alpha)) (fma i 2 alpha) (- (/ 1 (sqr beta)) 1.0))))) (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)))
* * [misc]simplify:  iters left: 3 (40 enodes)
* * [misc]simplify:  iters left: 2 (84 enodes)
* * [misc]simplify:  iters left: 1 (176 enodes)
* [exit]simplify:  Simplified to (/ (fma (* (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta) (/ (fma (/ 1 i) 2 (/ 1 alpha)) (/ (* beta beta) i))) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (fma (/ 1 beta) 2 (fma i 2 alpha)) (fma i 2 alpha) (- (/ (/ 1 beta) beta) 1.0))) (* (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (fma (/ 1 beta) 2 (fma i 2 alpha)) (fma i 2 alpha) (- (/ (/ 1 beta) beta) 1.0))) (- (/ i beta) (/ (fma (/ 1 i) 2 (/ 1 alpha)) (/ (* beta beta) i))))) (/ (+ beta (fma i 2 alpha)) (+ (+ beta alpha) i)))
* [misc]none:  prog is (λ (alpha beta i) (/ (fma (* (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta) (/ (fma (/ 1 i) 2 (/ 1 alpha)) (/ (* beta beta) i))) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (fma (/ 1 beta) 2 (fma i 2 alpha)) (fma i 2 alpha) (- (/ (/ 1 beta) beta) 1.0))) (* (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (fma (/ 1 beta) 2 (fma i 2 alpha)) (fma i 2 alpha) (- (/ (/ 1 beta) beta) 1.0))) (- (/ i beta) (/ (fma (/ 1 i) 2 (/ 1 alpha)) (/ (* beta beta) i))))) (/ (+ beta (fma i 2 alpha)) (+ (+ beta alpha) i))))
* * * [misc]progress:  simplifying alt 3 of 120
* [enter]simplify:  Simplifying (* (- (+ (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)) (* (pow beta 3) (fma (fma (/ -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (fma (* -1 i) 2 (* -1 alpha)) (- (/ 1 (sqr beta)) 1.0)))) (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i) (* (fma (fma (/ -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (fma (* -1 i) 2 (* -1 alpha)) (- (/ 1 (sqr beta)) 1.0)) beta))) (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) (* (sqr beta) (fma (fma (/ -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (fma (* -1 i) 2 (* -1 alpha)) (- (/ 1 (sqr beta)) 1.0))))) (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)))
* * [misc]simplify:  iters left: 3 (53 enodes)
* * [misc]simplify:  iters left: 2 (106 enodes)
* * [misc]simplify:  iters left: 1 (207 enodes)
* [exit]simplify:  Simplified to (* (- (fma (/ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (cube beta)) (/ (fma (/ -1 i) (+ (+ (/ (- 1) beta) (/ (- 1) alpha)) (/ (- 1) i)) (/ 1 (* beta alpha))) (/ (fma (fma (/ -1 beta) 2 (fma (- i) 2 (- alpha))) (fma (- i) 2 (- alpha)) (- (/ 1 (* beta beta)) 1.0)) i)) (/ (fma (/ -1 i) (+ (+ (/ (- 1) beta) (/ (- 1) alpha)) (/ (- 1) i)) (/ 1 (* beta alpha))) (/ (fma (fma (/ -1 beta) 2 (fma (- i) 2 (- alpha))) (fma (- i) 2 (- alpha)) (- (/ 1 (* beta beta)) 1.0)) (/ i beta)))) (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) (fma (fma (/ -1 beta) 2 (fma (- i) 2 (- alpha))) (fma (- i) 2 (- alpha)) (- (/ 1 (* beta beta)) 1.0))) (/ (fma (/ -1 i) (+ (+ (/ (- 1) beta) (/ (- 1) alpha)) (/ (- 1) i)) (/ 1 (* beta alpha))) (/ (* beta beta) i)))) (/ (+ (+ i beta) alpha) (+ beta (fma i 2 alpha))))
* [misc]none:  prog is (λ (alpha beta i) (* (- (fma (/ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (cube beta)) (/ (fma (/ -1 i) (+ (+ (/ (- 1) beta) (/ (- 1) alpha)) (/ (- 1) i)) (/ 1 (* beta alpha))) (/ (fma (fma (/ -1 beta) 2 (fma (- i) 2 (- alpha))) (fma (- i) 2 (- alpha)) (- (/ 1 (* beta beta)) 1.0)) i)) (/ (fma (/ -1 i) (+ (+ (/ (- 1) beta) (/ (- 1) alpha)) (/ (- 1) i)) (/ 1 (* beta alpha))) (/ (fma (fma (/ -1 beta) 2 (fma (- i) 2 (- alpha))) (fma (- i) 2 (- alpha)) (- (/ 1 (* beta beta)) 1.0)) (/ i beta)))) (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) (fma (fma (/ -1 beta) 2 (fma (- i) 2 (- alpha))) (fma (- i) 2 (- alpha)) (- (/ 1 (* beta beta)) 1.0))) (/ (fma (/ -1 i) (+ (+ (/ (- 1) beta) (/ (- 1) alpha)) (/ (- 1) i)) (/ 1 (* beta alpha))) (/ (* beta beta) i)))) (/ (+ (+ i beta) alpha) (+ beta (fma i 2 alpha)))))
* * * [misc]progress:  simplifying alt 4 of 120
* [enter]simplify:  Simplifying (* (/ (- (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr beta) i)) (pow (fma i 2 alpha) 3)) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (fma i 2 alpha))) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* beta i)) (sqr (fma i 2 alpha)))) (fma (fma beta 2 (fma (/ 1 i) 2 (/ 1 alpha))) (fma (/ 1 i) 2 (/ 1 alpha)) (- (sqr beta) 1.0))) (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)))
* * [misc]simplify:  iters left: 3 (36 enodes)
* * [misc]simplify:  iters left: 2 (68 enodes)
* * [misc]simplify:  iters left: 1 (116 enodes)
* [exit]simplify:  Simplified to (/ (+ (/ (fma i (+ beta (+ i alpha)) (* beta alpha)) (/ (cube (fma i 2 alpha)) (* beta (* beta i)))) (* (/ (fma i (+ beta (+ i alpha)) (* beta alpha)) (fma i 2 alpha)) (- i (/ (* beta i) (fma i 2 alpha))))) (/ (fma (fma beta 2 (fma (/ 1 i) 2 (/ 1 alpha))) (fma (/ 1 i) 2 (/ 1 alpha)) (- (* beta beta) 1.0)) (/ (+ beta (+ i alpha)) (+ (fma i 2 alpha) beta))))
* [misc]none:  prog is (λ (alpha beta i) (/ (+ (/ (fma i (+ beta (+ i alpha)) (* beta alpha)) (/ (cube (fma i 2 alpha)) (* beta (* beta i)))) (* (/ (fma i (+ beta (+ i alpha)) (* beta alpha)) (fma i 2 alpha)) (- i (/ (* beta i) (fma i 2 alpha))))) (/ (fma (fma beta 2 (fma (/ 1 i) 2 (/ 1 alpha))) (fma (/ 1 i) 2 (/ 1 alpha)) (- (* beta beta) 1.0)) (/ (+ beta (+ i alpha)) (+ (fma i 2 alpha) beta)))))
* * * [misc]progress:  simplifying alt 5 of 120
* [enter]simplify:  Simplifying (* (/ (- (+ (/ (* (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* i (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))))) (pow beta 3)) (/ (* i (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha)))) beta)) (/ (* (fma (/ 1 i) 2 (/ 1 alpha)) (* i (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))))) (sqr beta))) (fma (fma beta 2 (fma (/ 1 i) 2 (/ 1 alpha))) (fma (/ 1 i) 2 (/ 1 alpha)) (- (sqr beta) 1.0))) (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)))
* * [misc]simplify:  iters left: 3 (37 enodes)
* * [misc]simplify:  iters left: 2 (69 enodes)
* * [misc]simplify:  iters left: 1 (114 enodes)
* [exit]simplify:  Simplified to (/ (+ (- (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (/ i beta)) (* (* (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta) (/ i beta)) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))) (* (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta) (* (* (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta) (/ i beta)) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))))) (/ (fma (fma beta 2 (fma (/ 1 i) 2 (/ 1 alpha))) (fma (/ 1 i) 2 (/ 1 alpha)) (- (* beta beta) 1.0)) (/ (+ (+ alpha beta) i) (+ beta (fma i 2 alpha)))))
* [misc]none:  prog is (λ (alpha beta i) (/ (+ (- (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (/ i beta)) (* (* (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta) (/ i beta)) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))) (* (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta) (* (* (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta) (/ i beta)) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))))) (/ (fma (fma beta 2 (fma (/ 1 i) 2 (/ 1 alpha))) (fma (/ 1 i) 2 (/ 1 alpha)) (- (* beta beta) 1.0)) (/ (+ (+ alpha beta) i) (+ beta (fma i 2 alpha))))))
* * * [misc]progress:  simplifying alt 6 of 120
* [enter]simplify:  Simplifying (* (/ (- (+ (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i) beta) (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) (pow beta 3))) (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)) (sqr beta))) (fma (fma beta 2 (fma (/ 1 i) 2 (/ 1 alpha))) (fma (/ 1 i) 2 (/ 1 alpha)) (- (sqr beta) 1.0))) (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)))
* * [misc]simplify:  iters left: 3 (47 enodes)
* * [misc]simplify:  iters left: 2 (84 enodes)
* * [misc]simplify:  iters left: 1 (139 enodes)
* [exit]simplify:  Simplified to (/ (+ (- (* (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* alpha beta))) (/ beta i)) (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) 2 (/ -1 alpha))) (* beta beta))) (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* alpha beta))) (/ beta i)))) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* alpha beta))) (/ beta i))) (/ (fma (fma beta 2 (fma (/ 1 i) 2 (/ 1 alpha))) (fma (/ 1 i) 2 (/ 1 alpha)) (- (* beta beta) 1.0)) (/ (+ beta (+ alpha i)) (+ (fma i 2 alpha) beta))))
* [misc]none:  prog is (λ (alpha beta i) (/ (+ (- (* (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* alpha beta))) (/ beta i)) (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) 2 (/ -1 alpha))) (* beta beta))) (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* alpha beta))) (/ beta i)))) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* alpha beta))) (/ beta i))) (/ (fma (fma beta 2 (fma (/ 1 i) 2 (/ 1 alpha))) (fma (/ 1 i) 2 (/ 1 alpha)) (- (* beta beta) 1.0)) (/ (+ beta (+ alpha i)) (+ (fma i 2 alpha) beta)))))
* * * [misc]progress:  simplifying alt 7 of 120
* [enter]simplify:  Simplifying (* (/ (* (fma i (+ (+ alpha i) beta) (* alpha beta)) (/ i (+ (fma i 2 alpha) beta))) (fma (fma beta 2 (fma (/ 1 i) 2 (/ 1 alpha))) (fma (/ 1 i) 2 (/ 1 alpha)) (- (sqr beta) 1.0))) (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)))
* * [misc]simplify:  iters left: 3 (24 enodes)
* * [misc]simplify:  iters left: 2 (42 enodes)
* * [misc]simplify:  iters left: 1 (79 enodes)
* [exit]simplify:  Simplified to (* (/ (* (fma i (+ alpha (+ beta i)) (* beta alpha)) (/ i (+ (fma i 2 alpha) beta))) (fma (fma beta 2 (fma (/ 1 i) 2 (/ 1 alpha))) (fma (/ 1 i) 2 (/ 1 alpha)) (- (* beta beta) 1.0))) (/ (+ alpha (+ beta i)) (+ (fma i 2 alpha) beta)))
* [misc]none:  prog is (λ (alpha beta i) (* (/ (* (fma i (+ alpha (+ beta i)) (* beta alpha)) (/ i (+ (fma i 2 alpha) beta))) (fma (fma beta 2 (fma (/ 1 i) 2 (/ 1 alpha))) (fma (/ 1 i) 2 (/ 1 alpha)) (- (* beta beta) 1.0))) (/ (+ alpha (+ beta i)) (+ (fma i 2 alpha) beta))))
* * * [misc]progress:  simplifying alt 8 of 120
* [enter]simplify:  Simplifying (* (/ (* (fma i (+ (+ alpha i) beta) (* alpha beta)) (/ i (+ (fma i 2 alpha) beta))) (fma (fma (/ 1 beta) 2 (fma i 2 alpha)) (fma i 2 alpha) (- (/ 1 (sqr beta)) 1.0))) (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)))
* * [misc]simplify:  iters left: 3 (23 enodes)
* * [misc]simplify:  iters left: 2 (41 enodes)
* * [misc]simplify:  iters left: 1 (79 enodes)
* [exit]simplify:  Simplified to (* (/ (* (fma i (+ (+ alpha beta) i) (* beta alpha)) (/ i (+ (fma i 2 alpha) beta))) (fma (fma (/ 1 beta) 2 (fma i 2 alpha)) (fma i 2 alpha) (- (/ (/ 1 beta) beta) 1.0))) (/ (+ (+ alpha beta) i) (+ (fma i 2 alpha) beta)))
* [misc]none:  prog is (λ (alpha beta i) (* (/ (* (fma i (+ (+ alpha beta) i) (* beta alpha)) (/ i (+ (fma i 2 alpha) beta))) (fma (fma (/ 1 beta) 2 (fma i 2 alpha)) (fma i 2 alpha) (- (/ (/ 1 beta) beta) 1.0))) (/ (+ (+ alpha beta) i) (+ (fma i 2 alpha) beta))))
* * * [misc]progress:  simplifying alt 9 of 120
* [enter]simplify:  Simplifying (* (/ (* (fma i (+ (+ alpha i) beta) (* alpha beta)) (/ i (+ (fma i 2 alpha) beta))) (fma (fma (/ -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (fma (* -1 i) 2 (* -1 alpha)) (- (/ 1 (sqr beta)) 1.0))) (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)))
* * [misc]simplify:  iters left: 3 (27 enodes)
* * [misc]simplify:  iters left: 2 (49 enodes)
* * [misc]simplify:  iters left: 1 (88 enodes)
* [exit]simplify:  Simplified to (/ (* (fma i (+ (+ alpha beta) i) (* beta alpha)) (* (/ (+ (+ alpha beta) i) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta)))) (fma (fma (/ -1 beta) 2 (fma (- i) 2 (- alpha))) (fma (- i) 2 (- alpha)) (- (/ 1 (* beta beta)) 1.0)))
* [misc]none:  prog is (λ (alpha beta i) (/ (* (fma i (+ (+ alpha beta) i) (* beta alpha)) (* (/ (+ (+ alpha beta) i) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta)))) (fma (fma (/ -1 beta) 2 (fma (- i) 2 (- alpha))) (fma (- i) 2 (- alpha)) (- (/ 1 (* beta beta)) 1.0))))
* * * [misc]progress:  simplifying alt 10 of 120
* [enter]simplify:  Simplifying (* (/ (* (fma i (+ (+ alpha i) beta) (* alpha beta)) (/ i (+ (fma i 2 alpha) beta))) (fma (fma beta 2 (fma (/ 1 i) 2 (/ 1 alpha))) (fma (/ 1 i) 2 (/ 1 alpha)) (- (sqr beta) 1.0))) (+ (/ i (fma i 2 alpha)) (+ (/ beta (fma i 2 alpha)) (/ alpha (fma i 2 alpha)))))
* * [misc]simplify:  iters left: 3 (28 enodes)
* * [misc]simplify:  iters left: 2 (53 enodes)
* * [misc]simplify:  iters left: 1 (116 enodes)
* [exit]simplify:  Simplified to (* (+ (+ (/ i (fma i 2 alpha)) (/ beta (fma i 2 alpha))) (/ alpha (fma i 2 alpha))) (/ (* (fma i (+ (+ i alpha) beta) (* beta alpha)) (/ i (+ (fma i 2 alpha) beta))) (fma (fma beta 2 (fma (/ 1 i) 2 (/ 1 alpha))) (fma (/ 1 i) 2 (/ 1 alpha)) (- (* beta beta) 1.0))))
* [misc]none:  prog is (λ (alpha beta i) (* (+ (+ (/ i (fma i 2 alpha)) (/ beta (fma i 2 alpha))) (/ alpha (fma i 2 alpha))) (/ (* (fma i (+ (+ i alpha) beta) (* beta alpha)) (/ i (+ (fma i 2 alpha) beta))) (fma (fma beta 2 (fma (/ 1 i) 2 (/ 1 alpha))) (fma (/ 1 i) 2 (/ 1 alpha)) (- (* beta beta) 1.0)))))
* * * [misc]progress:  simplifying alt 11 of 120
* [enter]simplify:  Simplifying (* (/ (* (fma i (+ (+ alpha i) beta) (* alpha beta)) (/ i (+ (fma i 2 alpha) beta))) (fma (fma beta 2 (fma (/ 1 i) 2 (/ 1 alpha))) (fma (/ 1 i) 2 (/ 1 alpha)) (- (sqr beta) 1.0))) (+ 1 (+ (/ alpha beta) (/ i beta))))
* * [misc]simplify:  iters left: 3 (27 enodes)
* * [misc]simplify:  iters left: 2 (52 enodes)
* * [misc]simplify:  iters left: 1 (98 enodes)
* [exit]simplify:  Simplified to (* (+ (+ 1 (/ i beta)) (/ alpha beta)) (/ (/ (fma i (+ (+ beta alpha) i) (* beta alpha)) (/ (+ (fma i 2 alpha) beta) i)) (fma (fma beta 2 (fma (/ 1 i) 2 (/ 1 alpha))) (fma (/ 1 i) 2 (/ 1 alpha)) (- (* beta beta) 1.0))))
* [misc]none:  prog is (λ (alpha beta i) (* (+ (+ 1 (/ i beta)) (/ alpha beta)) (/ (/ (fma i (+ (+ beta alpha) i) (* beta alpha)) (/ (+ (fma i 2 alpha) beta) i)) (fma (fma beta 2 (fma (/ 1 i) 2 (/ 1 alpha))) (fma (/ 1 i) 2 (/ 1 alpha)) (- (* beta beta) 1.0)))))
* * * [misc]progress:  simplifying alt 12 of 120
* [enter]simplify:  Simplifying (* (/ (* (fma i (+ (+ alpha i) beta) (* alpha beta)) (/ i (+ (fma i 2 alpha) beta))) (fma (fma beta 2 (fma (/ 1 i) 2 (/ 1 alpha))) (fma (/ 1 i) 2 (/ 1 alpha)) (- (sqr beta) 1.0))) (+ 1 (+ (/ alpha beta) (/ i beta))))
* * [misc]simplify:  iters left: 3 (27 enodes)
* * [misc]simplify:  iters left: 2 (52 enodes)
* * [misc]simplify:  iters left: 1 (98 enodes)
* [exit]simplify:  Simplified to (* (+ (+ 1 (/ i beta)) (/ alpha beta)) (/ (/ (fma i (+ (+ beta alpha) i) (* beta alpha)) (/ (+ (fma i 2 alpha) beta) i)) (fma (fma beta 2 (fma (/ 1 i) 2 (/ 1 alpha))) (fma (/ 1 i) 2 (/ 1 alpha)) (- (* beta beta) 1.0))))
* [misc]none:  prog is (λ (alpha beta i) (* (+ (+ 1 (/ i beta)) (/ alpha beta)) (/ (/ (fma i (+ (+ beta alpha) i) (* beta alpha)) (/ (+ (fma i 2 alpha) beta) i)) (fma (fma beta 2 (fma (/ 1 i) 2 (/ 1 alpha))) (fma (/ 1 i) 2 (/ 1 alpha)) (- (* beta beta) 1.0)))))
* * * [misc]progress:  simplifying alt 13 of 120
* [enter]simplify:  Simplifying (- (+ (/ (* (cube (/ (cbrt (+ beta (+ alpha i))) (cbrt (+ beta (fma i 2 alpha))))) (* (sqr beta) (* i (fma i (+ beta (+ alpha i)) (* beta alpha))))) (* (sqr (- (sqr (fma i 2 alpha)) 1.0)) (fma i 2 alpha))) (+ (* 4 (/ (* (cube (/ (cbrt (+ beta (+ alpha i))) (cbrt (+ beta (fma i 2 alpha))))) (* (sqr beta) (* i (* (fma i 2 alpha) (fma i (+ beta (+ alpha i)) (* beta alpha)))))) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (/ (* (cube (/ (cbrt (+ beta (+ alpha i))) (cbrt (+ beta (fma i 2 alpha))))) (* (sqr beta) (* i (fma i (+ beta (+ alpha i)) (* beta alpha))))) (* (- (sqr (fma i 2 alpha)) 1.0) (pow (fma i 2 alpha) 3))) (/ (* (cube (/ (cbrt (+ beta (+ alpha i))) (cbrt (+ beta (fma i 2 alpha))))) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))))) (+ (* 2 (/ (* (cube (/ (cbrt (+ beta (+ alpha i))) (cbrt (+ beta (fma i 2 alpha))))) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* beta i))) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (/ (* (cube (/ (cbrt (+ beta (+ alpha i))) (cbrt (+ beta (fma i 2 alpha))))) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* beta i))) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))))
* * [misc]simplify:  iters left: 3 (52 enodes)
* * [misc]simplify:  iters left: 2 (128 enodes)
* * [misc]simplify:  iters left: 1 (325 enodes)
* [exit]simplify:  Simplified to (- (fma (/ (* (+ i (+ beta alpha)) (sqr beta)) (* (fma i 2 alpha) (+ beta (fma i 2 alpha)))) (* (/ i (- (* (fma i 2 alpha) (fma i 2 alpha)) 1.0)) (/ (fma i (+ i (+ beta alpha)) (* alpha beta)) (- (* (fma i 2 alpha) (fma i 2 alpha)) 1.0))) (fma 4 (/ (/ (+ i (+ beta alpha)) (+ beta (fma i 2 alpha))) (/ (cube (- (* (fma i 2 alpha) (fma i 2 alpha)) 1.0)) (* (* (sqr beta) (* (fma i 2 alpha) i)) (fma i (+ i (+ beta alpha)) (* alpha beta))))) (* (* (/ (fma i (+ i (+ beta alpha)) (* alpha beta)) (- (* (fma i 2 alpha) (fma i 2 alpha)) 1.0)) i) (+ (/ (+ i (+ beta alpha)) (* (fma i 2 alpha) (+ beta (fma i 2 alpha)))) (/ (* (+ i (+ beta alpha)) (sqr beta)) (* (cube (fma i 2 alpha)) (+ beta (fma i 2 alpha)))))))) (fma 2 (* (/ (/ (+ i (+ beta alpha)) (+ beta (fma i 2 alpha))) (- (* (fma i 2 alpha) (fma i 2 alpha)) 1.0)) (/ (* (fma i (+ i (+ beta alpha)) (* alpha beta)) (* i beta)) (- (* (fma i 2 alpha) (fma i 2 alpha)) 1.0))) (/ (* (* (fma i (+ i (+ beta alpha)) (* alpha beta)) (* i beta)) (/ (/ (+ i (+ beta alpha)) (+ beta (fma i 2 alpha))) (* (fma i 2 alpha) (fma i 2 alpha)))) (- (* (fma i 2 alpha) (fma i 2 alpha)) 1.0))))
* [misc]none:  prog is (λ (alpha beta i) (- (fma (/ (* (+ i (+ beta alpha)) (sqr beta)) (* (fma i 2 alpha) (+ beta (fma i 2 alpha)))) (* (/ i (- (* (fma i 2 alpha) (fma i 2 alpha)) 1.0)) (/ (fma i (+ i (+ beta alpha)) (* alpha beta)) (- (* (fma i 2 alpha) (fma i 2 alpha)) 1.0))) (fma 4 (/ (/ (+ i (+ beta alpha)) (+ beta (fma i 2 alpha))) (/ (cube (- (* (fma i 2 alpha) (fma i 2 alpha)) 1.0)) (* (* (sqr beta) (* (fma i 2 alpha) i)) (fma i (+ i (+ beta alpha)) (* alpha beta))))) (* (* (/ (fma i (+ i (+ beta alpha)) (* alpha beta)) (- (* (fma i 2 alpha) (fma i 2 alpha)) 1.0)) i) (+ (/ (+ i (+ beta alpha)) (* (fma i 2 alpha) (+ beta (fma i 2 alpha)))) (/ (* (+ i (+ beta alpha)) (sqr beta)) (* (cube (fma i 2 alpha)) (+ beta (fma i 2 alpha)))))))) (fma 2 (* (/ (/ (+ i (+ beta alpha)) (+ beta (fma i 2 alpha))) (- (* (fma i 2 alpha) (fma i 2 alpha)) 1.0)) (/ (* (fma i (+ i (+ beta alpha)) (* alpha beta)) (* i beta)) (- (* (fma i 2 alpha) (fma i 2 alpha)) 1.0))) (/ (* (* (fma i (+ i (+ beta alpha)) (* alpha beta)) (* i beta)) (/ (/ (+ i (+ beta alpha)) (+ beta (fma i 2 alpha))) (* (fma i 2 alpha) (fma i 2 alpha)))) (- (* (fma i 2 alpha) (fma i 2 alpha)) 1.0)))))
* * * [misc]progress:  simplifying alt 14 of 120
* [enter]simplify:  Simplifying (- (+ (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (cube (/ (cbrt (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) i)) (pow beta 3)) (+ (* 6 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (cube (/ (cbrt (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) (* (sqr (fma (/ 1 i) 2 (/ 1 alpha))) i))) (pow beta 5))) (* 1.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (cube (/ (cbrt (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) i)) (pow beta 5))))) (* 3 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (cube (/ (cbrt (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) (* (fma (/ 1 i) 2 (/ 1 alpha)) i))) (pow beta 4))))
* * [misc]simplify:  iters left: 3 (46 enodes)
* * [misc]simplify:  iters left: 2 (87 enodes)
* * [misc]simplify:  iters left: 1 (177 enodes)
* [exit]simplify:  Simplified to (+ (fma 6 (* (/ (fma (/ 1 i) (+ (+ (/ 1 i) (/ 1 alpha)) (/ 1 beta)) (/ 1 (* beta alpha))) (pow beta 5)) (* (/ (+ (+ (/ 1 i) (/ 1 alpha)) (/ 1 beta)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (* (sqr (fma (/ 1 i) 2 (/ 1 alpha))) i))) (* (/ (fma (/ 1 i) (+ (+ (/ 1 i) (/ 1 alpha)) (/ 1 beta)) (/ 1 (* beta alpha))) (cube beta)) (* i (/ (+ (+ (/ 1 i) (/ 1 alpha)) (/ 1 beta)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))) (- (/ (* (* (fma (/ 1 i) (+ (+ (/ 1 i) (/ 1 alpha)) (/ 1 beta)) (/ 1 (* beta alpha))) 1.0) (* i (/ (+ (+ (/ 1 i) (/ 1 alpha)) (/ 1 beta)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) (pow beta 5)) (/ (* (fma (/ 1 i) (+ (+ (/ 1 i) (/ 1 alpha)) (/ 1 beta)) (/ 1 (* beta alpha))) 3) (/ (/ (/ (pow beta 4) i) (fma (/ 1 i) 2 (/ 1 alpha))) (/ (+ (+ (/ 1 i) (/ 1 alpha)) (/ 1 beta)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))))
* [misc]none:  prog is (λ (alpha beta i) (+ (fma 6 (* (/ (fma (/ 1 i) (+ (+ (/ 1 i) (/ 1 alpha)) (/ 1 beta)) (/ 1 (* beta alpha))) (pow beta 5)) (* (/ (+ (+ (/ 1 i) (/ 1 alpha)) (/ 1 beta)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (* (sqr (fma (/ 1 i) 2 (/ 1 alpha))) i))) (* (/ (fma (/ 1 i) (+ (+ (/ 1 i) (/ 1 alpha)) (/ 1 beta)) (/ 1 (* beta alpha))) (cube beta)) (* i (/ (+ (+ (/ 1 i) (/ 1 alpha)) (/ 1 beta)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))) (- (/ (* (* (fma (/ 1 i) (+ (+ (/ 1 i) (/ 1 alpha)) (/ 1 beta)) (/ 1 (* beta alpha))) 1.0) (* i (/ (+ (+ (/ 1 i) (/ 1 alpha)) (/ 1 beta)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) (pow beta 5)) (/ (* (fma (/ 1 i) (+ (+ (/ 1 i) (/ 1 alpha)) (/ 1 beta)) (/ 1 (* beta alpha))) 3) (/ (/ (/ (pow beta 4) i) (fma (/ 1 i) 2 (/ 1 alpha))) (/ (+ (+ (/ 1 i) (/ 1 alpha)) (/ 1 beta)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))))))
* * * [misc]progress:  simplifying alt 15 of 120
* [enter]simplify:  Simplifying (- (+ (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* i (cube (/ (cbrt (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))))) (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))))) (pow beta 3)) (+ (* 1.0 (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* i (cube (/ (cbrt (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))))) (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))))) (pow beta 5))) (* 6 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* i (cube (/ (cbrt (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))))) (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))))) (pow beta 5))))) (* 3 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* i (cube (/ (cbrt (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))))) (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))))) (pow beta 4))))
* * [misc]simplify:  iters left: 3 (55 enodes)
* * [misc]simplify:  iters left: 2 (101 enodes)
* * [misc]simplify:  iters left: 1 (188 enodes)
* [exit]simplify:  Simplified to (- (fma (/ (* (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* (/ (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) i)) (pow beta 5)) 6 (fma 1.0 (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i) (/ (pow beta 5) (/ (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i) (/ (cube beta) (/ (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))))) (* (/ (* 3 (fma (/ -1 i) 2 (/ -1 alpha))) (/ (pow beta 4) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (* (/ (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) i)))
* [misc]none:  prog is (λ (alpha beta i) (- (fma (/ (* (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* (/ (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) i)) (pow beta 5)) 6 (fma 1.0 (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i) (/ (pow beta 5) (/ (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i) (/ (cube beta) (/ (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))))) (* (/ (* 3 (fma (/ -1 i) 2 (/ -1 alpha))) (/ (pow beta 4) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (* (/ (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) i))))
* * * [misc]progress:  simplifying alt 16 of 120
* [enter]simplify:  Simplifying (/ (- (+ (/ (* (cube (/ (cbrt (+ beta (+ alpha i))) (cbrt (+ beta (fma i 2 alpha))))) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr beta) i))) (pow (fma i 2 alpha) 3)) (/ (* (cube (/ (cbrt (+ beta (+ alpha i))) (cbrt (+ beta (fma i 2 alpha))))) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (fma i 2 alpha))) (/ (* (cube (/ (cbrt (+ beta (+ alpha i))) (cbrt (+ beta (fma i 2 alpha))))) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* beta i))) (sqr (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0))
* * [misc]simplify:  iters left: 3 (35 enodes)
* * [misc]simplify:  iters left: 2 (66 enodes)
* * [misc]simplify:  iters left: 1 (135 enodes)
* [exit]simplify:  Simplified to (/ (- (+ (/ (/ (+ i (+ beta alpha)) (+ beta (fma i 2 alpha))) (/ (/ (fma i 2 alpha) i) (fma i (+ i (+ beta alpha)) (* alpha beta)))) (* (/ (/ (+ i (+ beta alpha)) (+ beta (fma i 2 alpha))) (cube (fma i 2 alpha))) (* (* beta (* i beta)) (fma i (+ i (+ beta alpha)) (* alpha beta))))) (/ (* (fma i (+ i (+ beta alpha)) (* alpha beta)) (/ (+ i (+ beta alpha)) (+ beta (fma i 2 alpha)))) (* (/ (fma i 2 alpha) i) (/ (fma i 2 alpha) beta)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0))
* [misc]none:  prog is (λ (alpha beta i) (/ (- (+ (/ (/ (+ i (+ beta alpha)) (+ beta (fma i 2 alpha))) (/ (/ (fma i 2 alpha) i) (fma i (+ i (+ beta alpha)) (* alpha beta)))) (* (/ (/ (+ i (+ beta alpha)) (+ beta (fma i 2 alpha))) (cube (fma i 2 alpha))) (* (* beta (* i beta)) (fma i (+ i (+ beta alpha)) (* alpha beta))))) (/ (* (fma i (+ i (+ beta alpha)) (* alpha beta)) (/ (+ i (+ beta alpha)) (+ beta (fma i 2 alpha)))) (* (/ (fma i 2 alpha) i) (/ (fma i 2 alpha) beta)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))
* * * [misc]progress:  simplifying alt 17 of 120
* [enter]simplify:  Simplifying (/ (- (+ (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (cube (/ (cbrt (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) (* (sqr (fma (/ 1 i) 2 (/ 1 alpha))) i))) (pow beta 3)) (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (cube (/ (cbrt (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) i)) beta)) (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (cube (/ (cbrt (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) (* (fma (/ 1 i) 2 (/ 1 alpha)) i))) (sqr beta))) (- (sqr (+ beta (fma i 2 alpha))) 1.0))
* * [misc]simplify:  iters left: 3 (42 enodes)
* * [misc]simplify:  iters left: 2 (79 enodes)
* * [misc]simplify:  iters left: 1 (158 enodes)
* [exit]simplify:  Simplified to (/ (+ (/ (* (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 i)) (/ 1 alpha)) (/ 1 (* beta alpha))) (/ (+ (+ (/ 1 beta) (/ 1 i)) (/ 1 alpha)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (/ beta i)) (- (* (/ (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 i)) (/ 1 alpha)) (/ 1 (* beta alpha))) (cube beta)) (* (/ (+ (+ (/ 1 beta) (/ 1 i)) (/ 1 alpha)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (* (fma (/ 1 i) 2 (/ 1 alpha)) (* (fma (/ 1 i) 2 (/ 1 alpha)) i)))) (* (/ (* (+ (+ (/ 1 beta) (/ 1 i)) (/ 1 alpha)) (* (fma (/ 1 i) 2 (/ 1 alpha)) i)) (* beta (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (/ (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 i)) (/ 1 alpha)) (/ 1 (* beta alpha))) beta)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0))
* [misc]none:  prog is (λ (alpha beta i) (/ (+ (/ (* (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 i)) (/ 1 alpha)) (/ 1 (* beta alpha))) (/ (+ (+ (/ 1 beta) (/ 1 i)) (/ 1 alpha)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (/ beta i)) (- (* (/ (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 i)) (/ 1 alpha)) (/ 1 (* beta alpha))) (cube beta)) (* (/ (+ (+ (/ 1 beta) (/ 1 i)) (/ 1 alpha)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (* (fma (/ 1 i) 2 (/ 1 alpha)) (* (fma (/ 1 i) 2 (/ 1 alpha)) i)))) (* (/ (* (+ (+ (/ 1 beta) (/ 1 i)) (/ 1 alpha)) (* (fma (/ 1 i) 2 (/ 1 alpha)) i)) (* beta (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (/ (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 i)) (/ 1 alpha)) (/ 1 (* beta alpha))) beta)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))
* * * [misc]progress:  simplifying alt 18 of 120
* [enter]simplify:  Simplifying (/ (- (+ (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* i (cube (/ (cbrt (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))))) (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))))) (pow beta 3)) (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* i (cube (/ (cbrt (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))))) (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))))) beta)) (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* i (cube (/ (cbrt (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))))) (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))))) (sqr beta))) (- (sqr (+ beta (fma i 2 alpha))) 1.0))
* * [misc]simplify:  iters left: 3 (42 enodes)
* * [misc]simplify:  iters left: 2 (76 enodes)
* * [misc]simplify:  iters left: 1 (143 enodes)
* [exit]simplify:  Simplified to (/ (+ (/ (* (fma (/ -1 i) (- (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) (/ 1 (* beta alpha))) (/ (- (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) (/ (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) beta) (- (/ (* (fma (/ -1 i) (- (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) (/ 1 (* beta alpha))) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (/ (cube beta) (/ (- (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) (/ (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i)))) (/ (* (fma (/ -1 i) (- (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) (/ 1 (* beta alpha))) (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) (/ beta (/ (- (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) (/ (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i)))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0))
* [misc]none:  prog is (λ (alpha beta i) (/ (+ (/ (* (fma (/ -1 i) (- (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) (/ 1 (* beta alpha))) (/ (- (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) (/ (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) beta) (- (/ (* (fma (/ -1 i) (- (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) (/ 1 (* beta alpha))) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (/ (cube beta) (/ (- (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) (/ (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i)))) (/ (* (fma (/ -1 i) (- (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) (/ 1 (* beta alpha))) (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) (/ beta (/ (- (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) (/ (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i)))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))
* * * [misc]progress:  simplifying alt 19 of 120
* [enter]simplify:  Simplifying (/ (* (* (cube (/ (cbrt (+ beta (+ alpha i))) (cbrt (+ beta (fma i 2 alpha))))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0))
* * [misc]simplify:  iters left: 3 (23 enodes)
* * [misc]simplify:  iters left: 2 (38 enodes)
* * [misc]simplify:  iters left: 1 (80 enodes)
* [exit]simplify:  Simplified to (/ (* (/ (+ i (+ beta alpha)) (+ beta (fma i 2 alpha))) (fma i (+ i (+ beta alpha)) (* alpha beta))) (/ (- (sqr (+ beta (fma i 2 alpha))) 1.0) (/ i (+ beta (fma i 2 alpha)))))
* [misc]none:  prog is (λ (alpha beta i) (/ (* (/ (+ i (+ beta alpha)) (+ beta (fma i 2 alpha))) (fma i (+ i (+ beta alpha)) (* alpha beta))) (/ (- (sqr (+ beta (fma i 2 alpha))) 1.0) (/ i (+ beta (fma i 2 alpha))))))
* * * [misc]progress:  simplifying alt 20 of 120
* [enter]simplify:  Simplifying (/ (* (* (cube (/ (cbrt (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0))
* * [misc]simplify:  iters left: 3 (29 enodes)
* * [misc]simplify:  iters left: 2 (51 enodes)
* * [misc]simplify:  iters left: 1 (91 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (/ 1 alpha) (+ (/ 1 i) (/ 1 beta))) (/ (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) (fma i (+ i (+ beta alpha)) (* alpha beta)))) (/ (- (sqr (+ (fma i 2 alpha) beta)) 1.0) (/ i (+ (fma i 2 alpha) beta))))
* [misc]none:  prog is (λ (alpha beta i) (/ (/ (+ (/ 1 alpha) (+ (/ 1 i) (/ 1 beta))) (/ (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) (fma i (+ i (+ beta alpha)) (* alpha beta)))) (/ (- (sqr (+ (fma i 2 alpha) beta)) 1.0) (/ i (+ (fma i 2 alpha) beta)))))
* * * [misc]progress:  simplifying alt 21 of 120
* [enter]simplify:  Simplifying (/ (* (* (cube (/ (cbrt (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))))) (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0))
* * [misc]simplify:  iters left: 3 (33 enodes)
* * [misc]simplify:  iters left: 2 (57 enodes)
* * [misc]simplify:  iters left: 1 (106 enodes)
* [exit]simplify:  Simplified to (/ (- (/ (+ (+ (/ 1 i) (/ 1 beta)) (/ 1 alpha)) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))) (/ (- (* (+ beta (fma i 2 alpha)) (+ beta (fma i 2 alpha))) 1.0) (* (fma i (+ (+ i beta) alpha) (* alpha beta)) (/ i (+ beta (fma i 2 alpha))))))
* [misc]none:  prog is (λ (alpha beta i) (/ (- (/ (+ (+ (/ 1 i) (/ 1 beta)) (/ 1 alpha)) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))) (/ (- (* (+ beta (fma i 2 alpha)) (+ beta (fma i 2 alpha))) 1.0) (* (fma i (+ (+ i beta) alpha) (* alpha beta)) (/ i (+ beta (fma i 2 alpha)))))))
* * * [misc]progress:  simplifying alt 22 of 120
* [enter]simplify:  Simplifying (/ (* (* (cube (/ (cbrt (+ (+ beta alpha) i)) (cbrt (+ beta (fma i 2 alpha))))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0))
* * [misc]simplify:  iters left: 3 (21 enodes)
* * [misc]simplify:  iters left: 2 (37 enodes)
* * [misc]simplify:  iters left: 1 (80 enodes)
* [exit]simplify:  Simplified to (/ (* (/ i (+ beta (fma i 2 alpha))) (* (fma i (+ (+ beta alpha) i) (* alpha beta)) (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0))
* [misc]none:  prog is (λ (alpha beta i) (/ (* (/ i (+ beta (fma i 2 alpha))) (* (fma i (+ (+ beta alpha) i) (* alpha beta)) (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))
* * * [misc]progress:  simplifying alt 23 of 120
* [enter]simplify:  Simplifying (/ (* (* (cube (/ (cbrt (+ (+ beta alpha) i)) (cbrt (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0))
* * [misc]simplify:  iters left: 3 (27 enodes)
* * [misc]simplify:  iters left: 2 (46 enodes)
* * [misc]simplify:  iters left: 1 (85 enodes)
* [exit]simplify:  Simplified to (/ (* (/ (+ (+ i beta) alpha) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta))) (* (/ i (+ (fma i 2 alpha) beta)) (fma i (+ (+ i beta) alpha) (* alpha beta)))) (- (sqr (+ (fma i 2 alpha) beta)) 1.0))
* [misc]none:  prog is (λ (alpha beta i) (/ (* (/ (+ (+ i beta) alpha) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta))) (* (/ i (+ (fma i 2 alpha) beta)) (fma i (+ (+ i beta) alpha) (* alpha beta)))) (- (sqr (+ (fma i 2 alpha) beta)) 1.0)))
* * * [misc]progress:  simplifying alt 24 of 120
* [enter]simplify:  Simplifying (/ (* (* (cube (/ (cbrt (+ (+ beta alpha) i)) (cbrt (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0))
* * [misc]simplify:  iters left: 3 (28 enodes)
* * [misc]simplify:  iters left: 2 (46 enodes)
* * [misc]simplify:  iters left: 1 (83 enodes)
* [exit]simplify:  Simplified to (/ (/ (* (fma i (+ (+ i beta) alpha) (* alpha beta)) (+ (+ i beta) alpha)) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (/ (- (sqr (+ beta (fma i 2 alpha))) 1.0) (/ i (+ beta (fma i 2 alpha)))))
* [misc]none:  prog is (λ (alpha beta i) (/ (/ (* (fma i (+ (+ i beta) alpha) (* alpha beta)) (+ (+ i beta) alpha)) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (/ (- (sqr (+ beta (fma i 2 alpha))) 1.0) (/ i (+ beta (fma i 2 alpha))))))
* * * [misc]progress:  simplifying alt 25 of 120
* [enter]simplify:  Simplifying (* (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))) (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0))) (+ (/ i beta) (* (/ i beta) (+ (/ alpha beta) (/ i beta)))))
* * [misc]simplify:  iters left: 3 (27 enodes)
* * [misc]simplify:  iters left: 2 (54 enodes)
* * [misc]simplify:  iters left: 1 (117 enodes)
* [exit]simplify:  Simplified to (* (fma (/ i beta) (+ (/ alpha beta) (/ i beta)) (/ i beta)) (/ (fma (/ 1 i) (+ (+ (/ 1 i) (/ 1 beta)) (/ 1 alpha)) (/ 1 (* beta alpha))) (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ (/ 1 beta) beta) 1.0))))
* [misc]none:  prog is (λ (alpha beta i) (* (fma (/ i beta) (+ (/ alpha beta) (/ i beta)) (/ i beta)) (/ (fma (/ 1 i) (+ (+ (/ 1 i) (/ 1 beta)) (/ 1 alpha)) (/ 1 (* beta alpha))) (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ (/ 1 beta) beta) 1.0)))))
* * * [misc]progress:  simplifying alt 26 of 120
* [enter]simplify:  Simplifying (* (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0))) (+ (/ i beta) (* (/ i beta) (+ (/ alpha beta) (/ i beta)))))
* * [misc]simplify:  iters left: 3 (21 enodes)
* * [misc]simplify:  iters left: 2 (45 enodes)
* * [misc]simplify:  iters left: 1 (103 enodes)
* [exit]simplify:  Simplified to (* (/ (fma i (+ (+ i beta) alpha) (* beta alpha)) (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (* beta beta) 1.0))) (fma (/ i beta) (+ (/ i beta) (/ alpha beta)) (/ i beta)))
* [misc]none:  prog is (λ (alpha beta i) (* (/ (fma i (+ (+ i beta) alpha) (* beta alpha)) (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (* beta beta) 1.0))) (fma (/ i beta) (+ (/ i beta) (/ alpha beta)) (/ i beta))))
* * * [misc]progress:  simplifying alt 27 of 120
* [enter]simplify:  Simplifying (* (/ (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) (fma (fma (* -1 i) 2 (* -1 alpha)) (fma (* -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (- (sqr beta) 1.0))) (+ (/ i beta) (* (/ i beta) (+ (/ alpha beta) (/ i beta)))))
* * [misc]simplify:  iters left: 3 (26 enodes)
* * [misc]simplify:  iters left: 2 (58 enodes)
* * [misc]simplify:  iters left: 1 (126 enodes)
* [exit]simplify:  Simplified to (* (fma (/ i beta) (+ (/ alpha beta) (/ i beta)) (/ i beta)) (/ (fma (- i) (- (+ (+ beta i) alpha)) (* alpha beta)) (fma (fma (- i) 2 (- alpha)) (fma (- beta) 2 (fma (- i) 2 (- alpha))) (- (* beta beta) 1.0))))
* [misc]none:  prog is (λ (alpha beta i) (* (fma (/ i beta) (+ (/ alpha beta) (/ i beta)) (/ i beta)) (/ (fma (- i) (- (+ (+ beta i) alpha)) (* alpha beta)) (fma (fma (- i) 2 (- alpha)) (fma (- beta) 2 (fma (- i) 2 (- alpha))) (- (* beta beta) 1.0)))))
* * * [misc]progress:  simplifying alt 28 of 120
* [enter]simplify:  Simplifying (+ (/ (* i (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha)))) (* beta (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)))) (+ (/ (* (sqr i) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha)))) (* (sqr beta) (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)))) (/ (* alpha (* i (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))))) (* (sqr beta) (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0))))))
* * [misc]simplify:  iters left: 3 (31 enodes)
* * [misc]simplify:  iters left: 2 (67 enodes)
* * [misc]simplify:  iters left: 1 (135 enodes)
* [exit]simplify:  Simplified to (fma (/ (* i alpha) (* beta beta)) (/ (fma (/ 1 i) (+ (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (* beta beta)) 1.0))) (* (+ (/ i beta) (sqr (/ i beta))) (/ (fma (/ 1 i) (+ (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (* beta beta)) 1.0)))))
* [misc]none:  prog is (λ (alpha beta i) (fma (/ (* i alpha) (* beta beta)) (/ (fma (/ 1 i) (+ (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (* beta beta)) 1.0))) (* (+ (/ i beta) (sqr (/ i beta))) (/ (fma (/ 1 i) (+ (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (* beta beta)) 1.0))))))
* * * [misc]progress:  simplifying alt 29 of 120
* [enter]simplify:  Simplifying (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (sqr beta) (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)))) (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* beta (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)))) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (* (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) (sqr beta)))))
* * [misc]simplify:  iters left: 3 (27 enodes)
* * [misc]simplify:  iters left: 2 (61 enodes)
* * [misc]simplify:  iters left: 1 (123 enodes)
* [exit]simplify:  Simplified to (fma (* (/ i beta) (/ i beta)) (/ (fma i (+ (+ i beta) alpha) (* beta alpha)) (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (* beta beta) 1.0))) (* (/ (fma i (+ (+ i beta) alpha) (* beta alpha)) (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (* beta beta) 1.0))) (+ (/ i beta) (/ (* alpha i) (* beta beta)))))
* [misc]none:  prog is (λ (alpha beta i) (fma (* (/ i beta) (/ i beta)) (/ (fma i (+ (+ i beta) alpha) (* beta alpha)) (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (* beta beta) 1.0))) (* (/ (fma i (+ (+ i beta) alpha) (* beta alpha)) (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (* beta beta) 1.0))) (+ (/ i beta) (/ (* alpha i) (* beta beta))))))
* * * [misc]progress:  simplifying alt 30 of 120
* [enter]simplify:  Simplifying (+ (/ (* (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) (* alpha i)) (* (fma (fma (* -1 i) 2 (* -1 alpha)) (fma (* -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (- (sqr beta) 1.0)) (sqr beta))) (+ (/ (* (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) i) (* beta (fma (fma (* -1 i) 2 (* -1 alpha)) (fma (* -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (- (sqr beta) 1.0)))) (/ (* (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) (sqr i)) (* (sqr beta) (fma (fma (* -1 i) 2 (* -1 alpha)) (fma (* -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (- (sqr beta) 1.0))))))
* * [misc]simplify:  iters left: 3 (32 enodes)
* * [misc]simplify:  iters left: 2 (74 enodes)
* * [misc]simplify:  iters left: 1 (144 enodes)
* [exit]simplify:  Simplified to (fma (/ (fma (- i) (- (+ i (+ alpha beta))) (* alpha beta)) (fma (fma (- i) 2 (- alpha)) (fma (- beta) 2 (fma (- i) 2 (- alpha))) (- (* beta beta) 1.0))) (* (/ i beta) (/ alpha beta)) (* (/ (fma (- i) (- (+ i (+ alpha beta))) (* alpha beta)) (fma (fma (- i) 2 (- alpha)) (fma (- beta) 2 (fma (- i) 2 (- alpha))) (- (* beta beta) 1.0))) (+ (* (/ i beta) (/ i beta)) (/ i beta))))
* [misc]none:  prog is (λ (alpha beta i) (fma (/ (fma (- i) (- (+ i (+ alpha beta))) (* alpha beta)) (fma (fma (- i) 2 (- alpha)) (fma (- beta) 2 (fma (- i) 2 (- alpha))) (- (* beta beta) 1.0))) (* (/ i beta) (/ alpha beta)) (* (/ (fma (- i) (- (+ i (+ alpha beta))) (* alpha beta)) (fma (fma (- i) 2 (- alpha)) (fma (- beta) 2 (fma (- i) 2 (- alpha))) (- (* beta beta) 1.0))) (+ (* (/ i beta) (/ i beta)) (/ i beta)))))
* * * [misc]progress:  simplifying alt 31 of 120
* [enter]simplify:  Simplifying (* (/ (fma (/ 1 i) (+ (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (* beta beta)) 1.0))) (+ (/ (sqr i) (sqr beta)) (+ (/ i beta) (/ (* alpha i) (sqr beta)))))
* * [misc]simplify:  iters left: 3 (30 enodes)
* * [misc]simplify:  iters left: 2 (54 enodes)
* * [misc]simplify:  iters left: 1 (107 enodes)
* [exit]simplify:  Simplified to (/ (* (fma (/ i beta) (/ i beta) (fma (/ alpha beta) (/ i beta) (/ i beta))) (fma (/ 1 i) (+ (/ 1 alpha) (+ (/ 1 beta) (/ 1 i))) (/ 1 (* beta alpha)))) (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ (/ 1 beta) beta) 1.0)))
* [misc]none:  prog is (λ (alpha beta i) (/ (* (fma (/ i beta) (/ i beta) (fma (/ alpha beta) (/ i beta) (/ i beta))) (fma (/ 1 i) (+ (/ 1 alpha) (+ (/ 1 beta) (/ 1 i))) (/ 1 (* beta alpha)))) (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ (/ 1 beta) beta) 1.0))))
* * * [misc]progress:  simplifying alt 32 of 120
* [enter]simplify:  Simplifying (* (/ (fma (/ 1 i) (+ (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (* beta beta)) 1.0))) (+ (/ i beta) (+ (/ (* alpha i) (sqr beta)) (/ (sqr i) (sqr beta)))))
* * [misc]simplify:  iters left: 3 (30 enodes)
* * [misc]simplify:  iters left: 2 (54 enodes)
* * [misc]simplify:  iters left: 1 (107 enodes)
* [exit]simplify:  Simplified to (/ (* (fma (/ i beta) (/ i beta) (fma (/ alpha beta) (/ i beta) (/ i beta))) (fma (/ 1 i) (+ (+ (/ 1 i) (/ 1 alpha)) (/ 1 beta)) (/ 1 (* beta alpha)))) (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ (/ 1 beta) beta) 1.0)))
* [misc]none:  prog is (λ (alpha beta i) (/ (* (fma (/ i beta) (/ i beta) (fma (/ alpha beta) (/ i beta) (/ i beta))) (fma (/ 1 i) (+ (+ (/ 1 i) (/ 1 alpha)) (/ 1 beta)) (/ 1 (* beta alpha)))) (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ (/ 1 beta) beta) 1.0))))
* * * [misc]progress:  simplifying alt 33 of 120
* [enter]simplify:  Simplifying (* (/ (fma (/ 1 i) (+ (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (* beta beta)) 1.0))) (+ (/ i beta) (+ (/ (* alpha i) (sqr beta)) (/ (sqr i) (sqr beta)))))
* * [misc]simplify:  iters left: 3 (30 enodes)
* * [misc]simplify:  iters left: 2 (54 enodes)
* * [misc]simplify:  iters left: 1 (107 enodes)
* [exit]simplify:  Simplified to (/ (* (fma (/ i beta) (/ i beta) (fma (/ alpha beta) (/ i beta) (/ i beta))) (fma (/ 1 i) (+ (+ (/ 1 i) (/ 1 alpha)) (/ 1 beta)) (/ 1 (* beta alpha)))) (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ (/ 1 beta) beta) 1.0)))
* [misc]none:  prog is (λ (alpha beta i) (/ (* (fma (/ i beta) (/ i beta) (fma (/ alpha beta) (/ i beta) (/ i beta))) (fma (/ 1 i) (+ (+ (/ 1 i) (/ 1 alpha)) (/ 1 beta)) (/ 1 (* beta alpha)))) (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ (/ 1 beta) beta) 1.0))))
* * * [misc]progress:  simplifying alt 34 of 120
* [enter]simplify:  Simplifying (* (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))) (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (* beta beta)) 1.0))) (+ (/ i beta) (* (/ i beta) (+ (/ alpha beta) (/ i beta)))))
* * [misc]simplify:  iters left: 3 (27 enodes)
* * [misc]simplify:  iters left: 2 (55 enodes)
* * [misc]simplify:  iters left: 1 (117 enodes)
* [exit]simplify:  Simplified to (* (fma (/ i beta) (+ (/ alpha beta) (/ i beta)) (/ i beta)) (/ (fma (/ 1 i) (+ (+ (/ 1 i) (/ 1 beta)) (/ 1 alpha)) (/ 1 (* beta alpha))) (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ (/ 1 beta) beta) 1.0))))
* [misc]none:  prog is (λ (alpha beta i) (* (fma (/ i beta) (+ (/ alpha beta) (/ i beta)) (/ i beta)) (/ (fma (/ 1 i) (+ (+ (/ 1 i) (/ 1 beta)) (/ 1 alpha)) (/ 1 (* beta alpha))) (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ (/ 1 beta) beta) 1.0)))))
* * * [misc]progress:  simplifying alt 35 of 120
* [enter]simplify:  Simplifying (* (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (* beta beta)) 1.0))) (+ (/ i beta) (* (/ i beta) (+ (/ alpha beta) (/ i beta)))))
* * [misc]simplify:  iters left: 3 (26 enodes)
* * [misc]simplify:  iters left: 2 (53 enodes)
* * [misc]simplify:  iters left: 1 (114 enodes)
* [exit]simplify:  Simplified to (/ (* (fma (/ i beta) (+ (/ alpha beta) (/ i beta)) (/ i beta)) (fma i (+ beta (+ i alpha)) (* beta alpha))) (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ (/ 1 beta) beta) 1.0)))
* [misc]none:  prog is (λ (alpha beta i) (/ (* (fma (/ i beta) (+ (/ alpha beta) (/ i beta)) (/ i beta)) (fma i (+ beta (+ i alpha)) (* beta alpha))) (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ (/ 1 beta) beta) 1.0))))
* * * [misc]progress:  simplifying alt 36 of 120
* [enter]simplify:  Simplifying (* (/ (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (* beta beta)) 1.0))) (+ (/ i beta) (* (/ i beta) (+ (/ alpha beta) (/ i beta)))))
* * [misc]simplify:  iters left: 3 (29 enodes)
* * [misc]simplify:  iters left: 2 (61 enodes)
* * [misc]simplify:  iters left: 1 (127 enodes)
* [exit]simplify:  Simplified to (* (/ (fma (- i) (- (+ (+ alpha i) beta)) (* alpha beta)) (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ (/ 1 beta) beta) 1.0))) (fma (/ i beta) (+ (/ alpha beta) (/ i beta)) (/ i beta)))
* [misc]none:  prog is (λ (alpha beta i) (* (/ (fma (- i) (- (+ (+ alpha i) beta)) (* alpha beta)) (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ (/ 1 beta) beta) 1.0))) (fma (/ i beta) (+ (/ alpha beta) (/ i beta)) (/ i beta))))
* * * [misc]progress:  simplifying alt 37 of 120
* [enter]simplify:  Simplifying (/ (* (/ i (+ (fma i 2 alpha) beta)) (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta))) (/ (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) (fma i (+ beta (+ alpha i)) (* beta alpha))))
* * [misc]simplify:  iters left: 3 (21 enodes)
* * [misc]simplify:  iters left: 2 (36 enodes)
* * [misc]simplify:  iters left: 1 (65 enodes)
* [exit]simplify:  Simplified to (/ (* (/ i (+ beta (fma i 2 alpha))) (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha)))) (/ (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (* beta beta) 1.0)) (fma i (+ (+ beta alpha) i) (* beta alpha))))
* [misc]none:  prog is (λ (alpha beta i) (/ (* (/ i (+ beta (fma i 2 alpha))) (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha)))) (/ (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (* beta beta) 1.0)) (fma i (+ (+ beta alpha) i) (* beta alpha)))))
* * * [misc]progress:  simplifying alt 38 of 120
* [enter]simplify:  Simplifying (/ (* (/ i (+ (fma i 2 alpha) beta)) (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta))) (/ (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha)))))
* * [misc]simplify:  iters left: 3 (29 enodes)
* * [misc]simplify:  iters left: 2 (48 enodes)
* * [misc]simplify:  iters left: 1 (81 enodes)
* [exit]simplify:  Simplified to (/ (* (/ i (+ beta (fma i 2 alpha))) (/ (+ alpha (+ beta i)) (+ beta (fma i 2 alpha)))) (/ (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ (/ 1 beta) beta) 1.0)) (fma (/ 1 i) (+ (+ (/ 1 i) (/ 1 beta)) (/ 1 alpha)) (/ (/ 1 beta) alpha))))
* [misc]none:  prog is (λ (alpha beta i) (/ (* (/ i (+ beta (fma i 2 alpha))) (/ (+ alpha (+ beta i)) (+ beta (fma i 2 alpha)))) (/ (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ (/ 1 beta) beta) 1.0)) (fma (/ 1 i) (+ (+ (/ 1 i) (/ 1 beta)) (/ 1 alpha)) (/ (/ 1 beta) alpha)))))
* * * [misc]progress:  simplifying alt 39 of 120
* [enter]simplify:  Simplifying (/ (* (/ i (+ (fma i 2 alpha) beta)) (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta))) (/ (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 beta) 2 (fma (/ -1 i) 2 (/ -1 alpha))) (- (/ 1 (sqr beta)) 1.0)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))
* * [misc]simplify:  iters left: 3 (34 enodes)
* * [misc]simplify:  iters left: 2 (56 enodes)
* * [misc]simplify:  iters left: 1 (96 enodes)
* [exit]simplify:  Simplified to (* (fma (/ -1 i) (- (+ (+ (/ 1 i) (/ 1 alpha)) (/ 1 beta))) (/ (/ 1 beta) alpha)) (/ (* (/ i (+ beta (fma i 2 alpha))) (/ (+ (+ beta i) alpha) (+ beta (fma i 2 alpha)))) (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 beta) 2 (fma (/ -1 i) 2 (/ -1 alpha))) (- (/ 1 (* beta beta)) 1.0))))
* [misc]none:  prog is (λ (alpha beta i) (* (fma (/ -1 i) (- (+ (+ (/ 1 i) (/ 1 alpha)) (/ 1 beta))) (/ (/ 1 beta) alpha)) (/ (* (/ i (+ beta (fma i 2 alpha))) (/ (+ (+ beta i) alpha) (+ beta (fma i 2 alpha)))) (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 beta) 2 (fma (/ -1 i) 2 (/ -1 alpha))) (- (/ 1 (* beta beta)) 1.0)))))
* * * [misc]progress:  simplifying alt 40 of 120
* [enter]simplify:  Simplifying (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (* (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) (sqr (fma i 2 alpha)))) (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) (sqr (fma i 2 alpha)))) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* beta i)) (* (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) (sqr (fma i 2 alpha))))))
* * [misc]simplify:  iters left: 3 (27 enodes)
* * [misc]simplify:  iters left: 2 (60 enodes)
* * [misc]simplify:  iters left: 1 (138 enodes)
* [exit]simplify:  Simplified to (fma (/ (fma i (+ beta (+ i alpha)) (* beta alpha)) (/ (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (* beta beta) 1.0)) alpha)) (/ (/ i (fma i 2 alpha)) (fma i 2 alpha)) (* (/ (fma i (+ beta (+ i alpha)) (* beta alpha)) (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (* beta beta) 1.0))) (+ (/ (/ (* beta i) (fma i 2 alpha)) (fma i 2 alpha)) (* (/ i (fma i 2 alpha)) (/ i (fma i 2 alpha))))))
* [misc]none:  prog is (λ (alpha beta i) (fma (/ (fma i (+ beta (+ i alpha)) (* beta alpha)) (/ (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (* beta beta) 1.0)) alpha)) (/ (/ i (fma i 2 alpha)) (fma i 2 alpha)) (* (/ (fma i (+ beta (+ i alpha)) (* beta alpha)) (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (* beta beta) 1.0))) (+ (/ (/ (* beta i) (fma i 2 alpha)) (fma i 2 alpha)) (* (/ i (fma i 2 alpha)) (/ i (fma i 2 alpha)))))))
* * * [misc]progress:  simplifying alt 41 of 120
* [enter]simplify:  Simplifying (+ (/ (* i (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha)))) (* beta (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)))) (+ (/ (* (sqr i) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha)))) (* (sqr beta) (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)))) (/ (* alpha (* i (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))))) (* (sqr beta) (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0))))))
* * [misc]simplify:  iters left: 3 (31 enodes)
* * [misc]simplify:  iters left: 2 (67 enodes)
* * [misc]simplify:  iters left: 1 (135 enodes)
* [exit]simplify:  Simplified to (fma (/ (* i alpha) (* beta beta)) (/ (fma (/ 1 i) (+ (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (* beta beta)) 1.0))) (* (+ (/ i beta) (sqr (/ i beta))) (/ (fma (/ 1 i) (+ (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (* beta beta)) 1.0)))))
* [misc]none:  prog is (λ (alpha beta i) (fma (/ (* i alpha) (* beta beta)) (/ (fma (/ 1 i) (+ (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (* beta beta)) 1.0))) (* (+ (/ i beta) (sqr (/ i beta))) (/ (fma (/ 1 i) (+ (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (* beta beta)) 1.0))))))
* * * [misc]progress:  simplifying alt 42 of 120
* [enter]simplify:  Simplifying (+ (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i)) (* (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 beta) 2 (fma (/ -1 i) 2 (/ -1 alpha))) (- (/ 1 (sqr beta)) 1.0)) (sqr beta))) (+ (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* alpha i)) (* (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 beta) 2 (fma (/ -1 i) 2 (/ -1 alpha))) (- (/ 1 (sqr beta)) 1.0)) (sqr beta))) (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i) (* (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 beta) 2 (fma (/ -1 i) 2 (/ -1 alpha))) (- (/ 1 (sqr beta)) 1.0)) beta))))
* * [misc]simplify:  iters left: 3 (41 enodes)
* * [misc]simplify:  iters left: 2 (84 enodes)
* * [misc]simplify:  iters left: 1 (162 enodes)
* [exit]simplify:  Simplified to (* (/ (fma (/ -1 i) (+ (/ (- 1) beta) (+ (/ (- 1) i) (/ (- 1) alpha))) (/ 1 (* beta alpha))) (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 beta) 2 (fma (/ -1 i) 2 (/ -1 alpha))) (- (/ (/ 1 beta) beta) 1.0))) (+ (sqr (/ i beta)) (fma (/ alpha beta) (/ i beta) (/ i beta))))
* [misc]none:  prog is (λ (alpha beta i) (* (/ (fma (/ -1 i) (+ (/ (- 1) beta) (+ (/ (- 1) i) (/ (- 1) alpha))) (/ 1 (* beta alpha))) (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 beta) 2 (fma (/ -1 i) 2 (/ -1 alpha))) (- (/ (/ 1 beta) beta) 1.0))) (+ (sqr (/ i beta)) (fma (/ alpha beta) (/ i beta) (/ i beta)))))
* * * [misc]progress:  simplifying alt 43 of 120
* [enter]simplify:  Simplifying (/ (* (/ i (+ (fma i 2 alpha) beta)) (+ (/ i (fma i 2 alpha)) (+ (/ beta (fma i 2 alpha)) (/ alpha (fma i 2 alpha))))) (/ (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) (fma i (+ (+ alpha i) beta) (* alpha beta))))
* * [misc]simplify:  iters left: 3 (24 enodes)
* * [misc]simplify:  iters left: 2 (44 enodes)
* * [misc]simplify:  iters left: 1 (92 enodes)
* [exit]simplify:  Simplified to (/ (fma (+ (/ beta (fma i 2 alpha)) (/ i (fma i 2 alpha))) (/ i (+ beta (fma i 2 alpha))) (/ (/ (* i alpha) (fma i 2 alpha)) (+ beta (fma i 2 alpha)))) (/ (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (* beta beta) 1.0)) (fma i (+ alpha (+ beta i)) (* beta alpha))))
* [misc]none:  prog is (λ (alpha beta i) (/ (fma (+ (/ beta (fma i 2 alpha)) (/ i (fma i 2 alpha))) (/ i (+ beta (fma i 2 alpha))) (/ (/ (* i alpha) (fma i 2 alpha)) (+ beta (fma i 2 alpha)))) (/ (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (* beta beta) 1.0)) (fma i (+ alpha (+ beta i)) (* beta alpha)))))
* * * [misc]progress:  simplifying alt 44 of 120
* [enter]simplify:  Simplifying (/ (* (/ i (+ (fma i 2 alpha) beta)) (+ 1 (+ (/ alpha beta) (/ i beta)))) (/ (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) (fma i (+ (+ alpha i) beta) (* alpha beta))))
* * [misc]simplify:  iters left: 3 (24 enodes)
* * [misc]simplify:  iters left: 2 (46 enodes)
* * [misc]simplify:  iters left: 1 (103 enodes)
* [exit]simplify:  Simplified to (/ (* (/ i (+ beta (fma i 2 alpha))) (+ 1 (+ (/ i beta) (/ alpha beta)))) (/ (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (* beta beta) 1.0)) (fma i (+ (+ beta i) alpha) (* beta alpha))))
* [misc]none:  prog is (λ (alpha beta i) (/ (* (/ i (+ beta (fma i 2 alpha))) (+ 1 (+ (/ i beta) (/ alpha beta)))) (/ (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (* beta beta) 1.0)) (fma i (+ (+ beta i) alpha) (* beta alpha)))))
* * * [misc]progress:  simplifying alt 45 of 120
* [enter]simplify:  Simplifying (/ (* (/ i (+ (fma i 2 alpha) beta)) (+ 1 (+ (/ alpha beta) (/ i beta)))) (/ (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) (fma i (+ (+ alpha i) beta) (* alpha beta))))
* * [misc]simplify:  iters left: 3 (24 enodes)
* * [misc]simplify:  iters left: 2 (46 enodes)
* * [misc]simplify:  iters left: 1 (103 enodes)
* [exit]simplify:  Simplified to (/ (* (/ i (+ beta (fma i 2 alpha))) (+ 1 (+ (/ i beta) (/ alpha beta)))) (/ (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (* beta beta) 1.0)) (fma i (+ (+ beta i) alpha) (* beta alpha))))
* [misc]none:  prog is (λ (alpha beta i) (/ (* (/ i (+ beta (fma i 2 alpha))) (+ 1 (+ (/ i beta) (/ alpha beta)))) (/ (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (* beta beta) 1.0)) (fma i (+ (+ beta i) alpha) (* beta alpha)))))
* * * [misc]progress:  simplifying alt 46 of 120
* [enter]simplify:  Simplifying (/ (* (- (+ (/ i (fma i 2 alpha)) (/ (* (sqr beta) i) (pow (fma i 2 alpha) 3))) (/ (* beta i) (sqr (fma i 2 alpha)))) (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta))) (/ (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) (fma i (+ (+ alpha i) beta) (* alpha beta))))
* * [misc]simplify:  iters left: 3 (29 enodes)
* * [misc]simplify:  iters left: 2 (51 enodes)
* * [misc]simplify:  iters left: 1 (96 enodes)
* [exit]simplify:  Simplified to (/ (+ (/ i (fma i 2 alpha)) (- (/ (* (* i beta) beta) (cube (fma i 2 alpha))) (/ (/ (* i beta) (fma i 2 alpha)) (fma i 2 alpha)))) (/ (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (* beta beta) 1.0)) (* (fma i (+ (+ alpha beta) i) (* beta alpha)) (/ (+ (+ alpha beta) i) (+ beta (fma i 2 alpha))))))
* [misc]none:  prog is (λ (alpha beta i) (/ (+ (/ i (fma i 2 alpha)) (- (/ (* (* i beta) beta) (cube (fma i 2 alpha))) (/ (/ (* i beta) (fma i 2 alpha)) (fma i 2 alpha)))) (/ (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (* beta beta) 1.0)) (* (fma i (+ (+ alpha beta) i) (* beta alpha)) (/ (+ (+ alpha beta) i) (+ beta (fma i 2 alpha)))))))
* * * [misc]progress:  simplifying alt 47 of 120
* [enter]simplify:  Simplifying (/ (* (- (+ (/ (* (sqr (fma (/ 1 i) 2 (/ 1 alpha))) i) (pow beta 3)) (/ i beta)) (/ (* (fma (/ 1 i) 2 (/ 1 alpha)) i) (sqr beta))) (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta))) (/ (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) (fma i (+ (+ alpha i) beta) (* alpha beta))))
* * [misc]simplify:  iters left: 3 (33 enodes)
* * [misc]simplify:  iters left: 2 (57 enodes)
* * [misc]simplify:  iters left: 1 (102 enodes)
* [exit]simplify:  Simplified to (/ (fma (* (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta) (/ (fma (/ 1 i) 2 (/ 1 alpha)) (* beta beta))) i (- (/ i beta) (/ (fma (/ 1 i) 2 (/ 1 alpha)) (/ (* beta beta) i)))) (/ (/ (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (* beta beta) 1.0)) (/ (+ alpha (+ i beta)) (+ beta (fma i 2 alpha)))) (fma i (+ alpha (+ i beta)) (* beta alpha))))
* [misc]none:  prog is (λ (alpha beta i) (/ (fma (* (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta) (/ (fma (/ 1 i) 2 (/ 1 alpha)) (* beta beta))) i (- (/ i beta) (/ (fma (/ 1 i) 2 (/ 1 alpha)) (/ (* beta beta) i)))) (/ (/ (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (* beta beta) 1.0)) (/ (+ alpha (+ i beta)) (+ beta (fma i 2 alpha)))) (fma i (+ alpha (+ i beta)) (* beta alpha)))))
* * * [misc]progress:  simplifying alt 48 of 120
* [enter]simplify:  Simplifying (/ (* (- (+ (/ i beta) (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) i) (pow beta 3))) (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) i) (sqr beta))) (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta))) (/ (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) (fma i (+ (+ alpha i) beta) (* alpha beta))))
* * [misc]simplify:  iters left: 3 (33 enodes)
* * [misc]simplify:  iters left: 2 (55 enodes)
* * [misc]simplify:  iters left: 1 (100 enodes)
* [exit]simplify:  Simplified to (/ (+ (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) (/ beta i)) (/ (fma (/ -1 i) 2 (/ -1 alpha)) (* beta beta))) (- (/ i beta) (/ (fma (/ -1 i) 2 (/ -1 alpha)) (* (/ beta i) beta)))) (/ (/ (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (* beta beta) 1.0)) (fma i (+ alpha (+ i beta)) (* alpha beta))) (/ (+ alpha (+ i beta)) (+ (fma i 2 alpha) beta))))
* [misc]none:  prog is (λ (alpha beta i) (/ (+ (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) (/ beta i)) (/ (fma (/ -1 i) 2 (/ -1 alpha)) (* beta beta))) (- (/ i beta) (/ (fma (/ -1 i) 2 (/ -1 alpha)) (* (/ beta i) beta)))) (/ (/ (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (* beta beta) 1.0)) (fma i (+ alpha (+ i beta)) (* alpha beta))) (/ (+ alpha (+ i beta)) (+ (fma i 2 alpha) beta)))))
* * * [misc]progress:  simplifying alt 49 of 120
* [enter]simplify:  Simplifying (sqr (/ (* (sqrt (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta)))) (sqrt (/ i (+ beta (fma i 2 alpha))))) (- (+ (* (* beta (fma i 2 alpha)) (sqrt (/ 1 (- (sqr (fma i 2 alpha)) 1.0)))) (+ (sqrt (- (sqr (fma i 2 alpha)) 1.0)) (* 1/2 (* (sqr beta) (sqrt (/ 1 (- (sqr (fma i 2 alpha)) 1.0))))))) (* 1/2 (* (* (sqr beta) (sqr (fma i 2 alpha))) (sqrt (/ 1 (pow (- (sqr (fma i 2 alpha)) 1.0) 3))))))))
* * [misc]simplify:  iters left: 3 (41 enodes)
* * [misc]simplify:  iters left: 2 (76 enodes)
* * [misc]simplify:  iters left: 1 (136 enodes)
* [exit]simplify:  Simplified to (/ (/ (* (/ i (+ (fma i 2 alpha) beta)) (* (fma i (+ (+ alpha i) beta) (* alpha beta)) (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)))) (- (fma 1/2 (* (sqr beta) (sqrt (/ 1 (- (sqr (fma i 2 alpha)) 1.0)))) (fma (* beta (fma i 2 alpha)) (sqrt (/ 1 (- (sqr (fma i 2 alpha)) 1.0))) (sqrt (- (sqr (fma i 2 alpha)) 1.0)))) (* (sqrt (/ 1 (cube (- (sqr (fma i 2 alpha)) 1.0)))) (* (* (* beta 1/2) beta) (sqr (fma i 2 alpha)))))) (- (fma 1/2 (* (sqr beta) (sqrt (/ 1 (- (sqr (fma i 2 alpha)) 1.0)))) (fma (* beta (fma i 2 alpha)) (sqrt (/ 1 (- (sqr (fma i 2 alpha)) 1.0))) (sqrt (- (sqr (fma i 2 alpha)) 1.0)))) (* (sqrt (/ 1 (cube (- (sqr (fma i 2 alpha)) 1.0)))) (* (* (* beta 1/2) beta) (sqr (fma i 2 alpha))))))
* [misc]none:  prog is (λ (alpha beta i) (/ (/ (* (/ i (+ (fma i 2 alpha) beta)) (* (fma i (+ (+ alpha i) beta) (* alpha beta)) (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)))) (- (fma 1/2 (* (sqr beta) (sqrt (/ 1 (- (sqr (fma i 2 alpha)) 1.0)))) (fma (* beta (fma i 2 alpha)) (sqrt (/ 1 (- (sqr (fma i 2 alpha)) 1.0))) (sqrt (- (sqr (fma i 2 alpha)) 1.0)))) (* (sqrt (/ 1 (cube (- (sqr (fma i 2 alpha)) 1.0)))) (* (* (* beta 1/2) beta) (sqr (fma i 2 alpha)))))) (- (fma 1/2 (* (sqr beta) (sqrt (/ 1 (- (sqr (fma i 2 alpha)) 1.0)))) (fma (* beta (fma i 2 alpha)) (sqrt (/ 1 (- (sqr (fma i 2 alpha)) 1.0))) (sqrt (- (sqr (fma i 2 alpha)) 1.0)))) (* (sqrt (/ 1 (cube (- (sqr (fma i 2 alpha)) 1.0)))) (* (* (* beta 1/2) beta) (sqr (fma i 2 alpha)))))))
* * * [misc]progress:  simplifying alt 50 of 120
* [enter]simplify:  Simplifying (sqr (/ (* (sqrt (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta)))) (sqrt (/ i (+ beta (fma i 2 alpha))))) (- (+ beta (fma (/ 1 i) 2 (/ 1 alpha))) (* 0.5 (/ 1 beta)))))
* * [misc]simplify:  iters left: 3 (27 enodes)
* * [misc]simplify:  iters left: 2 (50 enodes)
* * [misc]simplify:  iters left: 1 (79 enodes)
* [exit]simplify:  Simplified to (/ (* (fma i (+ (+ i beta) alpha) (* alpha beta)) (/ (+ (+ i beta) alpha) (+ (fma i 2 alpha) beta))) (/ (sqr (- (fma (/ 1 i) 2 (/ 1 alpha)) (- (/ 0.5 beta) beta))) (/ i (+ (fma i 2 alpha) beta))))
* [misc]none:  prog is (λ (alpha beta i) (/ (* (fma i (+ (+ i beta) alpha) (* alpha beta)) (/ (+ (+ i beta) alpha) (+ (fma i 2 alpha) beta))) (/ (sqr (- (fma (/ 1 i) 2 (/ 1 alpha)) (- (/ 0.5 beta) beta))) (/ i (+ (fma i 2 alpha) beta)))))
* * * [misc]progress:  simplifying alt 51 of 120
* [enter]simplify:  Simplifying (sqr (/ (* (sqrt (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta)))) (sqrt (/ i (+ beta (fma i 2 alpha))))) (- (* 0.5 (/ 1 beta)) (+ (fma (/ -1 i) 2 (/ -1 alpha)) beta))))
* * [misc]simplify:  iters left: 3 (28 enodes)
* * [misc]simplify:  iters left: 2 (51 enodes)
* * [misc]simplify:  iters left: 1 (82 enodes)
* [exit]simplify:  Simplified to (/ (* (/ (fma i (+ (+ alpha i) beta) (* alpha beta)) (/ (+ (fma i 2 alpha) beta) (+ (+ alpha i) beta))) (/ i (+ (fma i 2 alpha) beta))) (* (- (/ 0.5 beta) (+ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) (- (/ 0.5 beta) (+ (fma (/ -1 i) 2 (/ -1 alpha)) beta))))
* [misc]none:  prog is (λ (alpha beta i) (/ (* (/ (fma i (+ (+ alpha i) beta) (* alpha beta)) (/ (+ (fma i 2 alpha) beta) (+ (+ alpha i) beta))) (/ i (+ (fma i 2 alpha) beta))) (* (- (/ 0.5 beta) (+ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) (- (/ 0.5 beta) (+ (fma (/ -1 i) 2 (/ -1 alpha)) beta)))))
* * * [misc]progress:  simplifying alt 52 of 120
* [enter]simplify:  Simplifying (sqr (/ (* (- (+ (* +nan.0 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (fma i 2 alpha))) (- (+ (* +nan.0 beta) (- (* +nan.0 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) alpha) (fma i 2 alpha)))))))) (sqrt (/ i (+ beta (fma i 2 alpha))))) (sqrt (- (sqr (+ beta (fma i 2 alpha))) 1.0))))
* [misc]none:  prog is (λ (alpha beta i) +nan.0)
* * * [misc]progress:  simplifying alt 53 of 120
* [enter]simplify:  Simplifying (sqr (/ (* (- (+ (* 1/2 (* (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (/ i beta))) (* 1/2 (* (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (/ alpha beta)))) (* 1/4 (* (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (/ (* alpha i) (sqr beta))))) (sqrt (/ i (+ beta (fma i 2 alpha))))) (sqrt (- (sqr (+ beta (fma i 2 alpha))) 1.0))))
* * [misc]simplify:  iters left: 3 (40 enodes)
* * [misc]simplify:  iters left: 2 (80 enodes)
* * [misc]simplify:  iters left: 1 (171 enodes)
* [exit]simplify:  Simplified to (/ (sqr (- (* (sqrt (fma (/ 1 i) (+ (+ (/ 1 i) (/ 1 alpha)) (/ 1 beta)) (/ (/ 1 beta) alpha))) (* 1/2 (+ (/ alpha beta) (/ i beta)))) (/ (* (sqrt (fma (/ 1 i) (+ (+ (/ 1 i) (/ 1 alpha)) (/ 1 beta)) (/ (/ 1 beta) alpha))) (* 1/4 alpha)) (/ beta (/ i beta))))) (/ (- (* (+ beta (fma i 2 alpha)) (+ beta (fma i 2 alpha))) 1.0) (/ i (+ beta (fma i 2 alpha)))))
* [misc]none:  prog is (λ (alpha beta i) (/ (sqr (- (* (sqrt (fma (/ 1 i) (+ (+ (/ 1 i) (/ 1 alpha)) (/ 1 beta)) (/ (/ 1 beta) alpha))) (* 1/2 (+ (/ alpha beta) (/ i beta)))) (/ (* (sqrt (fma (/ 1 i) (+ (+ (/ 1 i) (/ 1 alpha)) (/ 1 beta)) (/ (/ 1 beta) alpha))) (* 1/4 alpha)) (/ beta (/ i beta))))) (/ (- (* (+ beta (fma i 2 alpha)) (+ beta (fma i 2 alpha))) 1.0) (/ i (+ beta (fma i 2 alpha))))))
* * * [misc]progress:  simplifying alt 54 of 120
* [enter]simplify:  Simplifying (sqr (/ (* (- (+ (* 1/2 (* (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (/ i beta))) (* 1/2 (* (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) alpha) beta) (sqrt (/ 1 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))))) (* 1/4 (* (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (/ (* alpha i) (sqr beta))))) (sqrt (/ i (+ beta (fma i 2 alpha))))) (sqrt (- (sqr (+ beta (fma i 2 alpha))) 1.0))))
* * [misc]simplify:  iters left: 3 (51 enodes)
* * [misc]simplify:  iters left: 2 (101 enodes)
* * [misc]simplify:  iters left: 1 (211 enodes)
* [exit]simplify:  Simplified to (/ (* (- (fma (sqrt (/ 1 (fma (/ -1 i) (- (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i))) (/ (/ 1 beta) alpha)))) (* 1/2 (/ (fma (/ -1 i) (- (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i))) (/ (/ 1 beta) alpha)) (/ beta alpha))) (* (* (/ i beta) 1/2) (sqrt (fma (/ -1 i) (- (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i))) (/ (/ 1 beta) alpha))))) (* (sqrt (fma (/ -1 i) (- (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i))) (/ (/ 1 beta) alpha))) (* 1/4 (/ (* alpha i) (* beta beta))))) (- (fma (sqrt (/ 1 (fma (/ -1 i) (- (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i))) (/ (/ 1 beta) alpha)))) (* 1/2 (/ (fma (/ -1 i) (- (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i))) (/ (/ 1 beta) alpha)) (/ beta alpha))) (* (* (/ i beta) 1/2) (sqrt (fma (/ -1 i) (- (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i))) (/ (/ 1 beta) alpha))))) (* (sqrt (fma (/ -1 i) (- (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i))) (/ (/ 1 beta) alpha))) (* 1/4 (/ (* alpha i) (* beta beta)))))) (/ (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0) (/ i (+ (fma i 2 alpha) beta))))
* [misc]none:  prog is (λ (alpha beta i) (/ (* (- (fma (sqrt (/ 1 (fma (/ -1 i) (- (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i))) (/ (/ 1 beta) alpha)))) (* 1/2 (/ (fma (/ -1 i) (- (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i))) (/ (/ 1 beta) alpha)) (/ beta alpha))) (* (* (/ i beta) 1/2) (sqrt (fma (/ -1 i) (- (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i))) (/ (/ 1 beta) alpha))))) (* (sqrt (fma (/ -1 i) (- (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i))) (/ (/ 1 beta) alpha))) (* 1/4 (/ (* alpha i) (* beta beta))))) (- (fma (sqrt (/ 1 (fma (/ -1 i) (- (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i))) (/ (/ 1 beta) alpha)))) (* 1/2 (/ (fma (/ -1 i) (- (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i))) (/ (/ 1 beta) alpha)) (/ beta alpha))) (* (* (/ i beta) 1/2) (sqrt (fma (/ -1 i) (- (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i))) (/ (/ 1 beta) alpha))))) (* (sqrt (fma (/ -1 i) (- (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i))) (/ (/ 1 beta) alpha))) (* 1/4 (/ (* alpha i) (* beta beta)))))) (/ (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0) (/ i (+ (fma i 2 alpha) beta)))))
* * * [misc]progress:  simplifying alt 55 of 120
* [enter]simplify:  Simplifying (sqr (/ (+ (* 1/2 (* (sqrt (fma i (+ beta (+ alpha i)) (* beta alpha))) (/ alpha (fma i 2 alpha)))) (+ (* 1/2 (* (sqrt (fma i (+ beta (+ alpha i)) (* beta alpha))) (/ beta (fma i 2 alpha)))) (* (sqrt (fma i (+ beta (+ alpha i)) (* beta alpha))) (/ i (fma i 2 alpha))))) (sqrt (- (sqr (+ beta (fma i 2 alpha))) 1.0))))
* * [misc]simplify:  iters left: 3 (28 enodes)
* * [misc]simplify:  iters left: 2 (55 enodes)
* * [misc]simplify:  iters left: 1 (104 enodes)
* [exit]simplify:  Simplified to (/ (fma (* 1/2 (sqrt (fma i (+ i (+ beta alpha)) (* beta alpha)))) (+ (/ alpha (fma i 2 alpha)) (/ beta (fma i 2 alpha))) (/ (sqrt (fma i (+ i (+ beta alpha)) (* beta alpha))) (/ (fma i 2 alpha) i))) (/ (- (sqr (+ beta (fma i 2 alpha))) 1.0) (fma (* 1/2 (sqrt (fma i (+ i (+ beta alpha)) (* beta alpha)))) (+ (/ alpha (fma i 2 alpha)) (/ beta (fma i 2 alpha))) (/ (sqrt (fma i (+ i (+ beta alpha)) (* beta alpha))) (/ (fma i 2 alpha) i)))))
* [misc]none:  prog is (λ (alpha beta i) (/ (fma (* 1/2 (sqrt (fma i (+ i (+ beta alpha)) (* beta alpha)))) (+ (/ alpha (fma i 2 alpha)) (/ beta (fma i 2 alpha))) (/ (sqrt (fma i (+ i (+ beta alpha)) (* beta alpha))) (/ (fma i 2 alpha) i))) (/ (- (sqr (+ beta (fma i 2 alpha))) 1.0) (fma (* 1/2 (sqrt (fma i (+ i (+ beta alpha)) (* beta alpha)))) (+ (/ alpha (fma i 2 alpha)) (/ beta (fma i 2 alpha))) (/ (sqrt (fma i (+ i (+ beta alpha)) (* beta alpha))) (/ (fma i 2 alpha) i))))))
* * * [misc]progress:  simplifying alt 56 of 120
* [enter]simplify:  Simplifying (sqr (/ (- (+ (* +nan.0 (* (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (/ (* alpha (sqr i)) (pow beta 3)))) (- (+ (* +nan.0 (* (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (/ (sqr i) (sqr beta)))) (- (* +nan.0 (* (sqrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (/ (* alpha i) (sqr beta))))))))) (sqrt (- (sqr (+ beta (fma i 2 alpha))) 1.0))))
* [misc]none:  prog is (λ (alpha beta i) +nan.0)
* * * [misc]progress:  simplifying alt 57 of 120
* [enter]simplify:  Simplifying (sqr (/ (- (+ (* +nan.0 (* (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (/ (* alpha i) (sqr beta)))) (- (+ (* +nan.0 (* (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (/ (sqr i) (sqr beta)))) (- (+ (* +nan.0 (* (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (/ (* alpha (sqr i)) (pow beta 3)))) (- (* +nan.0 (* (sqrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (/ (* alpha (sqr i)) (pow beta 3))))))))))) (sqrt (- (sqr (+ beta (fma i 2 alpha))) 1.0))))
* [misc]none:  prog is (λ (alpha beta i) +nan.0)
* * * [misc]progress:  simplifying alt 58 of 120
* [enter]simplify:  Simplifying (- (+ (* 3 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr beta) (sqr i))) (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr beta) (sqr i))) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (* 3 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr beta) (sqr i))) (* (pow (fma i 2 alpha) 4) (- (sqr (fma i 2 alpha)) 1.0))))))) (+ (* 2 (/ (* beta (* (sqr i) (fma i (+ beta (+ alpha i)) (* beta alpha)))) (* (sqr (- (sqr (fma i 2 alpha)) 1.0)) (fma i 2 alpha)))) (* 2 (/ (* beta (* (sqr i) (fma i (+ beta (+ alpha i)) (* beta alpha)))) (* (- (sqr (fma i 2 alpha)) 1.0) (pow (fma i 2 alpha) 3))))))
* * [misc]simplify:  iters left: 3 (46 enodes)
* * [misc]simplify:  iters left: 2 (119 enodes)
* * [misc]simplify:  iters left: 1 (315 enodes)
* [exit]simplify:  Simplified to (+ (fma (/ 3 (sqr (fma i 2 alpha))) (* (/ (* (* beta beta) (* i i)) (- (sqr (fma i 2 alpha)) 1.0)) (/ (fma i (+ (+ beta i) alpha) (* beta alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (* (/ (* (fma i (+ (+ beta i) alpha) (* beta alpha)) (* (* beta beta) (* i i))) (- (sqr (fma i 2 alpha)) 1.0)) (/ 4 (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (- (fma (/ (fma i (+ (+ beta i) alpha) (* beta alpha)) (sqr (fma i 2 alpha))) (/ (* i i) (- (sqr (fma i 2 alpha)) 1.0)) (* (/ 3 (- (sqr (fma i 2 alpha)) 1.0)) (/ (fma i (+ (+ beta i) alpha) (* beta alpha)) (/ (pow (fma i 2 alpha) 4) (* (* beta beta) (* i i)))))) (fma (/ (/ 2 (- (sqr (fma i 2 alpha)) 1.0)) (- (sqr (fma i 2 alpha)) 1.0)) (/ (* (* (* i beta) i) (fma i (+ (+ beta i) alpha) (* beta alpha))) (fma i 2 alpha)) (* (/ (* (* beta 2) (* i i)) (cube (fma i 2 alpha))) (/ (fma i (+ (+ beta i) alpha) (* beta alpha)) (- (sqr (fma i 2 alpha)) 1.0))))))
* [misc]none:  prog is (λ (alpha beta i) (+ (fma (/ 3 (sqr (fma i 2 alpha))) (* (/ (* (* beta beta) (* i i)) (- (sqr (fma i 2 alpha)) 1.0)) (/ (fma i (+ (+ beta i) alpha) (* beta alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (* (/ (* (fma i (+ (+ beta i) alpha) (* beta alpha)) (* (* beta beta) (* i i))) (- (sqr (fma i 2 alpha)) 1.0)) (/ 4 (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (- (fma (/ (fma i (+ (+ beta i) alpha) (* beta alpha)) (sqr (fma i 2 alpha))) (/ (* i i) (- (sqr (fma i 2 alpha)) 1.0)) (* (/ 3 (- (sqr (fma i 2 alpha)) 1.0)) (/ (fma i (+ (+ beta i) alpha) (* beta alpha)) (/ (pow (fma i 2 alpha) 4) (* (* beta beta) (* i i)))))) (fma (/ (/ 2 (- (sqr (fma i 2 alpha)) 1.0)) (- (sqr (fma i 2 alpha)) 1.0)) (/ (* (* (* i beta) i) (fma i (+ (+ beta i) alpha) (* beta alpha))) (fma i 2 alpha)) (* (/ (* (* beta 2) (* i i)) (cube (fma i 2 alpha))) (/ (fma i (+ (+ beta i) alpha) (* beta alpha)) (- (sqr (fma i 2 alpha)) 1.0)))))))
* * * [misc]progress:  simplifying alt 59 of 120
* [enter]simplify:  Simplifying 0
* * [misc]simplify:  iters left: 0 (1 enodes)
* [exit]simplify:  Simplified to 0
* [misc]none:  prog is (λ (alpha beta i) 0)
* * * [misc]progress:  simplifying alt 60 of 120
* [enter]simplify:  Simplifying 0
* * [misc]simplify:  iters left: 0 (1 enodes)
* [exit]simplify:  Simplified to 0
* [misc]none:  prog is (λ (alpha beta i) 0)
* * * [misc]progress:  simplifying alt 61 of 120
* [enter]simplify:  Simplifying (fma (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) beta) (/ i (sqr beta)) (/ (* (+ alpha i) (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (pow beta 4)))
* * [misc]simplify:  iters left: 3 (22 enodes)
* * [misc]simplify:  iters left: 2 (34 enodes)
* * [misc]simplify:  iters left: 1 (46 enodes)
* [exit]simplify:  Simplified to (fma (/ (fma (/ 1 i) (+ (/ 1 alpha) (+ (/ 1 beta) (/ 1 i))) (/ 1 (* beta alpha))) beta) (/ (/ i beta) beta) (/ (* (* i (+ i alpha)) (fma (/ 1 i) (+ (/ 1 alpha) (+ (/ 1 beta) (/ 1 i))) (/ 1 (* beta alpha)))) (pow beta 4)))
* [misc]none:  prog is (λ (alpha beta i) (fma (/ (fma (/ 1 i) (+ (/ 1 alpha) (+ (/ 1 beta) (/ 1 i))) (/ 1 (* beta alpha))) beta) (/ (/ i beta) beta) (/ (* (* i (+ i alpha)) (fma (/ 1 i) (+ (/ 1 alpha) (+ (/ 1 beta) (/ 1 i))) (/ 1 (* beta alpha)))) (pow beta 4))))
* * * [misc]progress:  simplifying alt 62 of 120
* [enter]simplify:  Simplifying (fma (* (fma i (+ beta (+ alpha i)) (* beta alpha)) beta) (/ (sqr beta) i) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (pow beta 4) (+ (/ 1 alpha) (/ 1 i)))) i))
* * [misc]simplify:  iters left: 3 (20 enodes)
* * [misc]simplify:  iters left: 2 (38 enodes)
* * [misc]simplify:  iters left: 1 (70 enodes)
* [exit]simplify:  Simplified to (fma (* (fma i (+ beta (+ i alpha)) (* beta alpha)) beta) (/ beta (/ i beta)) (/ (fma i (+ beta (+ i alpha)) (* beta alpha)) (/ (/ i (pow beta 4)) (+ (/ 1 alpha) (/ 1 i)))))
* [misc]none:  prog is (λ (alpha beta i) (fma (* (fma i (+ beta (+ i alpha)) (* beta alpha)) beta) (/ beta (/ i beta)) (/ (fma i (+ beta (+ i alpha)) (* beta alpha)) (/ (/ i (pow beta 4)) (+ (/ 1 alpha) (/ 1 i))))))
* * * [misc]progress:  simplifying alt 63 of 120
* [enter]simplify:  Simplifying (fma (* -1 (* beta (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)))) (* -1 (/ (sqr beta) i)) (/ (* (pow beta 4) (* (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) (+ (/ 1 alpha) (/ 1 i)))) i))
* * [misc]simplify:  iters left: 3 (25 enodes)
* * [misc]simplify:  iters left: 2 (55 enodes)
* * [misc]simplify:  iters left: 1 (99 enodes)
* [exit]simplify:  Simplified to (fma (* (- beta) (fma (- i) (- (+ beta (+ alpha i))) (* beta alpha))) (/ (- beta) (/ i beta)) (/ (* (fma (- i) (- (+ beta (+ alpha i))) (* beta alpha)) (pow beta 4)) (/ i (+ (/ 1 alpha) (/ 1 i)))))
* [misc]none:  prog is (λ (alpha beta i) (fma (* (- beta) (fma (- i) (- (+ beta (+ alpha i))) (* beta alpha))) (/ (- beta) (/ i beta)) (/ (* (fma (- i) (- (+ beta (+ alpha i))) (* beta alpha)) (pow beta 4)) (/ i (+ (/ 1 alpha) (/ 1 i))))))
* * * [misc]progress:  simplifying alt 64 of 120
* [enter]simplify:  Simplifying (fma (/ (fma (/ 1 i) (+ (/ 1 alpha) (+ (/ 1 beta) (/ 1 i))) (/ 1 (* beta alpha))) beta) (/ i (sqr beta)) (* (/ (fma (/ 1 i) (+ (/ 1 alpha) (+ (/ 1 beta) (/ 1 i))) (/ 1 (* beta alpha))) (/ (pow beta 4) i)) (+ i alpha)))
* * [misc]simplify:  iters left: 3 (22 enodes)
* * [misc]simplify:  iters left: 2 (42 enodes)
* * [misc]simplify:  iters left: 1 (74 enodes)
* [exit]simplify:  Simplified to (fma (/ (fma (/ 1 i) (+ (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))) (/ 1 (* alpha beta))) beta) (/ i (* beta beta)) (/ (fma (/ 1 i) (+ (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))) (/ 1 (* alpha beta))) (/ (/ (pow beta 4) i) (+ i alpha))))
* [misc]none:  prog is (λ (alpha beta i) (fma (/ (fma (/ 1 i) (+ (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))) (/ 1 (* alpha beta))) beta) (/ i (* beta beta)) (/ (fma (/ 1 i) (+ (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))) (/ 1 (* alpha beta))) (/ (/ (pow beta 4) i) (+ i alpha)))))
* * * [misc]progress:  simplifying alt 65 of 120
* [enter]simplify:  Simplifying (fma (/ (fma (/ 1 i) (+ (/ 1 alpha) (+ (/ 1 beta) (/ 1 i))) (/ 1 (* beta alpha))) beta) (/ i (sqr beta)) (* (/ (fma (/ 1 i) (+ (/ 1 alpha) (+ (/ 1 beta) (/ 1 i))) (/ 1 (* beta alpha))) (/ (pow beta 4) i)) (+ i alpha)))
* * [misc]simplify:  iters left: 3 (22 enodes)
* * [misc]simplify:  iters left: 2 (42 enodes)
* * [misc]simplify:  iters left: 1 (74 enodes)
* [exit]simplify:  Simplified to (fma (/ (fma (/ 1 i) (+ (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))) (/ 1 (* alpha beta))) beta) (/ i (* beta beta)) (/ (fma (/ 1 i) (+ (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))) (/ 1 (* alpha beta))) (/ (/ (pow beta 4) i) (+ i alpha))))
* [misc]none:  prog is (λ (alpha beta i) (fma (/ (fma (/ 1 i) (+ (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))) (/ 1 (* alpha beta))) beta) (/ i (* beta beta)) (/ (fma (/ 1 i) (+ (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))) (/ 1 (* alpha beta))) (/ (/ (pow beta 4) i) (+ i alpha)))))
* * * [misc]progress:  simplifying alt 66 of 120
* [enter]simplify:  Simplifying (fma (/ (fma (/ 1 i) (+ (/ 1 alpha) (+ (/ 1 beta) (/ 1 i))) (/ 1 (* beta alpha))) beta) (/ i (sqr beta)) (* (/ (fma (/ 1 i) (+ (/ 1 alpha) (+ (/ 1 beta) (/ 1 i))) (/ 1 (* beta alpha))) (/ (pow beta 4) i)) (+ i alpha)))
* * [misc]simplify:  iters left: 3 (22 enodes)
* * [misc]simplify:  iters left: 2 (42 enodes)
* * [misc]simplify:  iters left: 1 (74 enodes)
* [exit]simplify:  Simplified to (fma (/ (fma (/ 1 i) (+ (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))) (/ 1 (* alpha beta))) beta) (/ i (* beta beta)) (/ (fma (/ 1 i) (+ (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))) (/ 1 (* alpha beta))) (/ (/ (pow beta 4) i) (+ i alpha))))
* [misc]none:  prog is (λ (alpha beta i) (fma (/ (fma (/ 1 i) (+ (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))) (/ 1 (* alpha beta))) beta) (/ i (* beta beta)) (/ (fma (/ 1 i) (+ (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))) (/ 1 (* alpha beta))) (/ (/ (pow beta 4) i) (+ i alpha)))))
* * * [misc]progress:  simplifying alt 67 of 120
* [enter]simplify:  Simplifying (fma (/ (fma (/ 1 i) (+ (/ 1 alpha) (+ (/ 1 beta) (/ 1 i))) (/ 1 (* beta alpha))) beta) (/ i (* beta beta)) (* (/ (fma (/ 1 i) (+ (/ 1 alpha) (+ (/ 1 beta) (/ 1 i))) (/ 1 (* beta alpha))) (/ (pow beta 4) i)) (+ i alpha)))
* * [misc]simplify:  iters left: 3 (22 enodes)
* * [misc]simplify:  iters left: 2 (44 enodes)
* * [misc]simplify:  iters left: 1 (74 enodes)
* [exit]simplify:  Simplified to (fma (/ (fma (/ 1 i) (+ (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))) (/ 1 (* alpha beta))) beta) (/ i (* beta beta)) (/ (fma (/ 1 i) (+ (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))) (/ 1 (* alpha beta))) (/ (/ (pow beta 4) i) (+ i alpha))))
* [misc]none:  prog is (λ (alpha beta i) (fma (/ (fma (/ 1 i) (+ (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))) (/ 1 (* alpha beta))) beta) (/ i (* beta beta)) (/ (fma (/ 1 i) (+ (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))) (/ 1 (* alpha beta))) (/ (/ (pow beta 4) i) (+ i alpha)))))
* * * [misc]progress:  simplifying alt 68 of 120
* [enter]simplify:  Simplifying (fma (/ (fma (/ 1 i) (+ (/ 1 alpha) (+ (/ 1 beta) (/ 1 i))) (/ 1 (* beta alpha))) beta) (/ i (* beta beta)) (* (/ (fma (/ 1 i) (+ (/ 1 alpha) (+ (/ 1 beta) (/ 1 i))) (/ 1 (* beta alpha))) (/ 1 (* (pow beta 4) i))) (+ i alpha)))
* * [misc]simplify:  iters left: 3 (23 enodes)
* * [misc]simplify:  iters left: 2 (46 enodes)
* * [misc]simplify:  iters left: 1 (71 enodes)
* [exit]simplify:  Simplified to (fma (/ (fma (/ 1 i) (+ (+ (/ 1 i) (/ 1 alpha)) (/ 1 beta)) (/ 1 (* alpha beta))) beta) (/ i (* beta beta)) (/ (fma (/ 1 i) (+ (+ (/ 1 i) (/ 1 alpha)) (/ 1 beta)) (/ 1 (* alpha beta))) (/ (/ (/ 1 (pow beta 4)) i) (+ i alpha))))
* [misc]none:  prog is (λ (alpha beta i) (fma (/ (fma (/ 1 i) (+ (+ (/ 1 i) (/ 1 alpha)) (/ 1 beta)) (/ 1 (* alpha beta))) beta) (/ i (* beta beta)) (/ (fma (/ 1 i) (+ (+ (/ 1 i) (/ 1 alpha)) (/ 1 beta)) (/ 1 (* alpha beta))) (/ (/ (/ 1 (pow beta 4)) i) (+ i alpha)))))
* * * [misc]progress:  simplifying alt 69 of 120
* [enter]simplify:  Simplifying (fma (/ (fma (/ 1 i) (+ (/ 1 alpha) (+ (/ 1 beta) (/ 1 i))) (/ 1 (* beta alpha))) beta) (/ i (* beta beta)) (* (/ (fma (/ 1 i) (+ (/ 1 alpha) (+ (/ 1 beta) (/ 1 i))) (/ 1 (* beta alpha))) (/ (exp (* 4 (- (log -1) (log beta)))) i)) (+ i alpha)))
* * [misc]simplify:  iters left: 3 (27 enodes)
* * [misc]simplify:  iters left: 2 (52 enodes)
* * [misc]simplify:  iters left: 1 (82 enodes)
* [exit]simplify:  Simplified to (fma (/ (fma (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (/ 1 (* alpha beta))) beta) (/ i (* beta beta)) (/ (+ i alpha) (/ (/ (pow (exp 4) (- (log -1) (log beta))) i) (fma (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (/ 1 (* alpha beta))))))
* [misc]none:  prog is (λ (alpha beta i) (fma (/ (fma (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (/ 1 (* alpha beta))) beta) (/ i (* beta beta)) (/ (+ i alpha) (/ (/ (pow (exp 4) (- (log -1) (log beta))) i) (fma (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (/ 1 (* alpha beta)))))))
* * * [misc]progress:  simplifying alt 70 of 120
* [enter]simplify:  Simplifying (fma (/ (fma (/ 1 i) (+ (/ 1 alpha) (+ (/ 1 beta) (/ 1 i))) (/ 1 (* beta alpha))) beta) (/ i (* beta beta)) (* (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) (pow beta 4)) (+ i alpha)))
* * [misc]simplify:  iters left: 3 (25 enodes)
* * [misc]simplify:  iters left: 2 (50 enodes)
* * [misc]simplify:  iters left: 1 (84 enodes)
* [exit]simplify:  Simplified to (fma (/ (fma (/ 1 i) (+ (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))) (/ 1 (* alpha beta))) beta) (/ i (* beta beta)) (/ (* (+ i alpha) (fma (/ 1 i) (+ (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))) (/ 1 (* alpha beta)))) (/ (pow beta 4) i)))
* [misc]none:  prog is (λ (alpha beta i) (fma (/ (fma (/ 1 i) (+ (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))) (/ 1 (* alpha beta))) beta) (/ i (* beta beta)) (/ (* (+ i alpha) (fma (/ 1 i) (+ (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))) (/ 1 (* alpha beta)))) (/ (pow beta 4) i))))
* * * [misc]progress:  simplifying alt 71 of 120
* [enter]simplify:  Simplifying (fma (/ (fma (/ 1 i) (+ (/ 1 alpha) (+ (/ 1 beta) (/ 1 i))) (/ 1 (* beta alpha))) beta) (/ i (* beta beta)) (* 0 (+ i alpha)))
* * [misc]simplify:  iters left: 3 (19 enodes)
* * [misc]simplify:  iters left: 2 (29 enodes)
* * [misc]simplify:  iters left: 1 (32 enodes)
* [exit]simplify:  Simplified to (fma (/ (fma (/ 1 i) (+ (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))) (/ 1 (* alpha beta))) beta) (/ i (* beta beta)) 0)
* [misc]none:  prog is (λ (alpha beta i) (fma (/ (fma (/ 1 i) (+ (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))) (/ 1 (* alpha beta))) beta) (/ i (* beta beta)) 0))
* * * [misc]progress:  simplifying alt 72 of 120
* [enter]simplify:  Simplifying (fma (/ (fma (/ 1 i) (+ (/ 1 alpha) (+ (/ 1 beta) (/ 1 i))) (/ 1 (* beta alpha))) beta) (/ i (* beta beta)) (* 0 (+ i alpha)))
* * [misc]simplify:  iters left: 3 (19 enodes)
* * [misc]simplify:  iters left: 2 (29 enodes)
* * [misc]simplify:  iters left: 1 (32 enodes)
* [exit]simplify:  Simplified to (fma (/ (fma (/ 1 i) (+ (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))) (/ 1 (* alpha beta))) beta) (/ i (* beta beta)) 0)
* [misc]none:  prog is (λ (alpha beta i) (fma (/ (fma (/ 1 i) (+ (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))) (/ 1 (* alpha beta))) beta) (/ i (* beta beta)) 0))
* * * [misc]progress:  simplifying alt 73 of 120
* [enter]simplify:  Simplifying (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* beta i)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))))
* * [misc]simplify:  iters left: 3 (24 enodes)
* * [misc]simplify:  iters left: 2 (56 enodes)
* * [misc]simplify:  iters left: 1 (134 enodes)
* [exit]simplify:  Simplified to (fma (* (/ i (fma i 2 alpha)) (/ i (fma i 2 alpha))) (/ (fma i (+ beta (+ i alpha)) (* beta alpha)) (- (* (fma i 2 alpha) (fma i 2 alpha)) 1.0)) (* (/ (fma i (+ beta (+ i alpha)) (* beta alpha)) (- (* (fma i 2 alpha) (fma i 2 alpha)) 1.0)) (+ (* (/ i (fma i 2 alpha)) (/ alpha (fma i 2 alpha))) (* (/ beta (fma i 2 alpha)) (/ i (fma i 2 alpha))))))
* [misc]none:  prog is (λ (alpha beta i) (fma (* (/ i (fma i 2 alpha)) (/ i (fma i 2 alpha))) (/ (fma i (+ beta (+ i alpha)) (* beta alpha)) (- (* (fma i 2 alpha) (fma i 2 alpha)) 1.0)) (* (/ (fma i (+ beta (+ i alpha)) (* beta alpha)) (- (* (fma i 2 alpha) (fma i 2 alpha)) 1.0)) (+ (* (/ i (fma i 2 alpha)) (/ alpha (fma i 2 alpha))) (* (/ beta (fma i 2 alpha)) (/ i (fma i 2 alpha)))))))
* * * [misc]progress:  simplifying alt 74 of 120
* [enter]simplify:  Simplifying (+ (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) (pow beta 3)) (+ (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i)) (pow beta 4)) (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) (pow beta 4))))
* * [misc]simplify:  iters left: 3 (26 enodes)
* * [misc]simplify:  iters left: 2 (47 enodes)
* * [misc]simplify:  iters left: 1 (66 enodes)
* [exit]simplify:  Simplified to (fma (/ (fma (/ 1 i) (+ (/ 1 alpha) (+ (/ 1 beta) (/ 1 i))) (/ 1 (* beta alpha))) (cube beta)) i (+ (/ (fma (/ 1 i) (+ (/ 1 alpha) (+ (/ 1 beta) (/ 1 i))) (/ 1 (* beta alpha))) (/ (pow beta 4) (* i i))) (/ (fma (/ 1 i) (+ (/ 1 alpha) (+ (/ 1 beta) (/ 1 i))) (/ 1 (* beta alpha))) (/ (pow beta 4) (* alpha i)))))
* [misc]none:  prog is (λ (alpha beta i) (fma (/ (fma (/ 1 i) (+ (/ 1 alpha) (+ (/ 1 beta) (/ 1 i))) (/ 1 (* beta alpha))) (cube beta)) i (+ (/ (fma (/ 1 i) (+ (/ 1 alpha) (+ (/ 1 beta) (/ 1 i))) (/ 1 (* beta alpha))) (/ (pow beta 4) (* i i))) (/ (fma (/ 1 i) (+ (/ 1 alpha) (+ (/ 1 beta) (/ 1 i))) (/ 1 (* beta alpha))) (/ (pow beta 4) (* alpha i))))))
* * * [misc]progress:  simplifying alt 75 of 120
* [enter]simplify:  Simplifying (+ (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i)) (pow beta 4)) (+ (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i) (pow beta 3)) (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* alpha i)) (pow beta 4))))
* * [misc]simplify:  iters left: 3 (33 enodes)
* * [misc]simplify:  iters left: 2 (60 enodes)
* * [misc]simplify:  iters left: 1 (86 enodes)
* [exit]simplify:  Simplified to (+ (fma (/ (fma (/ -1 i) (- (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) (/ 1 (* beta alpha))) (cube beta)) i (/ (fma (/ -1 i) (- (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) (/ 1 (* beta alpha))) (/ (pow beta 4) (* i i)))) (/ (fma (/ -1 i) (- (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) (/ 1 (* beta alpha))) (/ (pow beta 4) (* alpha i))))
* [misc]none:  prog is (λ (alpha beta i) (+ (fma (/ (fma (/ -1 i) (- (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) (/ 1 (* beta alpha))) (cube beta)) i (/ (fma (/ -1 i) (- (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) (/ 1 (* beta alpha))) (/ (pow beta 4) (* i i)))) (/ (fma (/ -1 i) (- (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) (/ 1 (* beta alpha))) (/ (pow beta 4) (* alpha i)))))
* * * [misc]progress:  simplifying alt 76 of 120
* [enter]simplify:  Simplifying (/ (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* beta i)) (fma i 2 alpha)) (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (fma i 2 alpha)) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (fma i 2 alpha)))) (* (- (sqr (+ beta (fma i 2 alpha))) 1.0) (+ beta (fma i 2 alpha))))
* * [misc]simplify:  iters left: 3 (26 enodes)
* * [misc]simplify:  iters left: 2 (54 enodes)
* * [misc]simplify:  iters left: 1 (88 enodes)
* [exit]simplify:  Simplified to (/ (+ (/ (fma i (+ beta (+ i alpha)) (* beta alpha)) (/ (fma i 2 alpha) (* beta i))) (+ (/ (fma i (+ beta (+ i alpha)) (* beta alpha)) (/ (fma i 2 alpha) (* alpha i))) (/ (fma i (+ beta (+ i alpha)) (* beta alpha)) (/ (fma i 2 alpha) (sqr i))))) (* (- (sqr (+ (fma i 2 alpha) beta)) 1.0) (+ (fma i 2 alpha) beta)))
* [misc]none:  prog is (λ (alpha beta i) (/ (+ (/ (fma i (+ beta (+ i alpha)) (* beta alpha)) (/ (fma i 2 alpha) (* beta i))) (+ (/ (fma i (+ beta (+ i alpha)) (* beta alpha)) (/ (fma i 2 alpha) (* alpha i))) (/ (fma i (+ beta (+ i alpha)) (* beta alpha)) (/ (fma i 2 alpha) (sqr i))))) (* (- (sqr (+ (fma i 2 alpha) beta)) 1.0) (+ (fma i 2 alpha) beta))))
* * * [misc]progress:  simplifying alt 77 of 120
* [enter]simplify:  Simplifying (/ (+ (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i)) beta) (+ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) beta))) (* (- (sqr (+ beta (fma i 2 alpha))) 1.0) (+ beta (fma i 2 alpha))))
* * [misc]simplify:  iters left: 3 (29 enodes)
* * [misc]simplify:  iters left: 2 (59 enodes)
* * [misc]simplify:  iters left: 1 (87 enodes)
* [exit]simplify:  Simplified to (/ (+ (/ (fma (/ 1 i) (+ (+ (/ 1 i) (/ 1 alpha)) (/ 1 beta)) (/ 1 (* beta alpha))) (/ beta (* i i))) (fma i (fma (/ 1 i) (+ (+ (/ 1 i) (/ 1 alpha)) (/ 1 beta)) (/ 1 (* beta alpha))) (/ (fma (/ 1 i) (+ (+ (/ 1 i) (/ 1 alpha)) (/ 1 beta)) (/ 1 (* beta alpha))) (/ beta (* alpha i))))) (* (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0) (+ (fma i 2 alpha) beta)))
* [misc]none:  prog is (λ (alpha beta i) (/ (+ (/ (fma (/ 1 i) (+ (+ (/ 1 i) (/ 1 alpha)) (/ 1 beta)) (/ 1 (* beta alpha))) (/ beta (* i i))) (fma i (fma (/ 1 i) (+ (+ (/ 1 i) (/ 1 alpha)) (/ 1 beta)) (/ 1 (* beta alpha))) (/ (fma (/ 1 i) (+ (+ (/ 1 i) (/ 1 alpha)) (/ 1 beta)) (/ 1 (* beta alpha))) (/ beta (* alpha i))))) (* (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0) (+ (fma i 2 alpha) beta))))
* * * [misc]progress:  simplifying alt 78 of 120
* [enter]simplify:  Simplifying (/ (+ (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr i)) beta) (+ (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* alpha i)) beta) (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i))) (* (- (sqr (+ beta (fma i 2 alpha))) 1.0) (+ beta (fma i 2 alpha))))
* * [misc]simplify:  iters left: 3 (32 enodes)
* * [misc]simplify:  iters left: 2 (64 enodes)
* * [misc]simplify:  iters left: 1 (100 enodes)
* [exit]simplify:  Simplified to (/ (fma (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* alpha beta))) i (+ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* alpha beta))) (/ (/ beta i) alpha)) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* alpha beta))) (/ (/ beta i) i)))) (* (- (* (+ beta (fma i 2 alpha)) (+ beta (fma i 2 alpha))) 1.0) (+ beta (fma i 2 alpha))))
* [misc]none:  prog is (λ (alpha beta i) (/ (fma (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* alpha beta))) i (+ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* alpha beta))) (/ (/ beta i) alpha)) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* alpha beta))) (/ (/ beta i) i)))) (* (- (* (+ beta (fma i 2 alpha)) (+ beta (fma i 2 alpha))) 1.0) (+ beta (fma i 2 alpha)))))
* * * [misc]progress:  simplifying alt 79 of 120
* [enter]simplify:  Simplifying (/ (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) i) (- (+ (pow (fma i 2 alpha) 3) (+ (* 3 (* beta (sqr (fma i 2 alpha)))) (* 3 (* (sqr beta) (fma i 2 alpha))))) (+ (* 1.0 (fma i 2 alpha)) (* 1.0 beta))))
* * [misc]simplify:  iters left: 3 (29 enodes)
* * [misc]simplify:  iters left: 2 (61 enodes)
* * [misc]simplify:  iters left: 1 (103 enodes)
* [exit]simplify:  Simplified to (/ (* (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) i) (fma i (+ (+ alpha i) beta) (* alpha beta))) (- (fma (* 3 (sqr beta)) (fma i 2 alpha) (* (sqr (fma i 2 alpha)) (+ (* 3 beta) (fma i 2 alpha)))) (fma (fma i 2 alpha) 1.0 (* beta 1.0))))
* [misc]none:  prog is (λ (alpha beta i) (/ (* (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) i) (fma i (+ (+ alpha i) beta) (* alpha beta))) (- (fma (* 3 (sqr beta)) (fma i 2 alpha) (* (sqr (fma i 2 alpha)) (+ (* 3 beta) (fma i 2 alpha)))) (fma (fma i 2 alpha) 1.0 (* beta 1.0)))))
* * * [misc]progress:  simplifying alt 80 of 120
* [enter]simplify:  Simplifying (/ (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) i) (- (+ (* 3 (* (sqr beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (+ (* 3 (* beta (sqr (fma (/ 1 i) 2 (/ 1 alpha))))) (pow beta 3))) (* 1.0 beta)))
* * [misc]simplify:  iters left: 3 (31 enodes)
* * [misc]simplify:  iters left: 2 (58 enodes)
* * [misc]simplify:  iters left: 1 (94 enodes)
* [exit]simplify:  Simplified to (/ (* (* i (fma i (+ (+ alpha i) beta) (* alpha beta))) (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta))) (+ (fma (* 3 beta) (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* (* 3 (sqr beta)) (fma (/ 1 i) 2 (/ 1 alpha)))) (- (cube beta) (* beta 1.0))))
* [misc]none:  prog is (λ (alpha beta i) (/ (* (* i (fma i (+ (+ alpha i) beta) (* alpha beta))) (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta))) (+ (fma (* 3 beta) (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* (* 3 (sqr beta)) (fma (/ 1 i) 2 (/ 1 alpha)))) (- (cube beta) (* beta 1.0)))))
* * * [misc]progress:  simplifying alt 81 of 120
* [enter]simplify:  Simplifying (/ (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) i) (- (+ (* 3 (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) beta)) (+ (* 3 (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr beta))) (pow beta 3))) (* 1.0 beta)))
* * [misc]simplify:  iters left: 3 (31 enodes)
* * [misc]simplify:  iters left: 2 (56 enodes)
* * [misc]simplify:  iters left: 1 (92 enodes)
* [exit]simplify:  Simplified to (/ (* (* i (/ (+ (+ beta alpha) i) (+ (fma i 2 alpha) beta))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (fma 3 (fma (* beta (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) 2 (/ -1 alpha)) (* (sqr beta) (fma (/ -1 i) 2 (/ -1 alpha)))) (- (cube beta) (* beta 1.0))))
* [misc]none:  prog is (λ (alpha beta i) (/ (* (* i (/ (+ (+ beta alpha) i) (+ (fma i 2 alpha) beta))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (fma 3 (fma (* beta (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) 2 (/ -1 alpha)) (* (sqr beta) (fma (/ -1 i) 2 (/ -1 alpha)))) (- (cube beta) (* beta 1.0)))))
* * * [misc]progress:  simplifying alt 82 of 120
* [enter]simplify:  Simplifying (/ (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) i) (* (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0) (+ beta (fma i 2 alpha))))
* * [misc]simplify:  iters left: 3 (23 enodes)
* * [misc]simplify:  iters left: 2 (54 enodes)
* * [misc]simplify:  iters left: 1 (104 enodes)
* [exit]simplify:  Simplified to (* (/ (fma i (+ (+ alpha i) beta) (* alpha beta)) (/ (+ (fma i 2 alpha) beta) i)) (/ (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0))))
* [misc]none:  prog is (λ (alpha beta i) (* (/ (fma i (+ (+ alpha i) beta) (* alpha beta)) (/ (+ (fma i 2 alpha) beta) i)) (/ (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)))))
* * * [misc]progress:  simplifying alt 83 of 120
* [enter]simplify:  Simplifying (/ (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) i) (* (- (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (+ (* 2 (* beta (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr beta))) 1.0) (+ beta (fma i 2 alpha))))
* * [misc]simplify:  iters left: 3 (27 enodes)
* * [misc]simplify:  iters left: 2 (60 enodes)
* * [misc]simplify:  iters left: 1 (109 enodes)
* [exit]simplify:  Simplified to (* (/ (/ (+ beta (+ alpha i)) (+ (fma i 2 alpha) beta)) (fma (fma (/ 1 i) 2 (/ 1 alpha)) (+ (* beta 2) (fma (/ 1 i) 2 (/ 1 alpha))) (- (sqr beta) 1.0))) (/ (fma i (+ beta (+ alpha i)) (* alpha beta)) (/ (+ (fma i 2 alpha) beta) i)))
* [misc]none:  prog is (λ (alpha beta i) (* (/ (/ (+ beta (+ alpha i)) (+ (fma i 2 alpha) beta)) (fma (fma (/ 1 i) 2 (/ 1 alpha)) (+ (* beta 2) (fma (/ 1 i) 2 (/ 1 alpha))) (- (sqr beta) 1.0))) (/ (fma i (+ beta (+ alpha i)) (* alpha beta)) (/ (+ (fma i 2 alpha) beta) i))))
* * * [misc]progress:  simplifying alt 84 of 120
* [enter]simplify:  Simplifying (/ (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) i) (* (- (+ (sqr beta) (+ (* 2 (* (fma (/ -1 i) 2 (/ -1 alpha)) beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha))))) 1.0) (+ beta (fma i 2 alpha))))
* * [misc]simplify:  iters left: 3 (27 enodes)
* * [misc]simplify:  iters left: 2 (58 enodes)
* * [misc]simplify:  iters left: 1 (107 enodes)
* [exit]simplify:  Simplified to (/ (* (* i (fma i (+ beta (+ alpha i)) (* alpha beta))) (/ (+ beta (+ alpha i)) (+ (fma i 2 alpha) beta))) (* (fma beta (+ beta (* (fma (/ -1 i) 2 (/ -1 alpha)) 2)) (- (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) 2 (/ -1 alpha))) 1.0)) (+ (fma i 2 alpha) beta)))
* [misc]none:  prog is (λ (alpha beta i) (/ (* (* i (fma i (+ beta (+ alpha i)) (* alpha beta))) (/ (+ beta (+ alpha i)) (+ (fma i 2 alpha) beta))) (* (fma beta (+ beta (* (fma (/ -1 i) 2 (/ -1 alpha)) 2)) (- (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) 2 (/ -1 alpha))) 1.0)) (+ (fma i 2 alpha) beta))))
* * * [misc]progress:  simplifying alt 85 of 120
* [enter]simplify:  Simplifying (cube (cbrt (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* beta i)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))))))
* * [misc]simplify:  iters left: 3 (26 enodes)
* * [misc]simplify:  iters left: 2 (60 enodes)
* * [misc]simplify:  iters left: 1 (140 enodes)
* [exit]simplify:  Simplified to (fma (/ (fma i (+ (+ beta i) alpha) (* beta alpha)) (- (* (fma i 2 alpha) (fma i 2 alpha)) 1.0)) (* (/ i (fma i 2 alpha)) (/ i (fma i 2 alpha))) (* (/ (fma i (+ (+ beta i) alpha) (* beta alpha)) (- (* (fma i 2 alpha) (fma i 2 alpha)) 1.0)) (+ (/ (/ (* beta i) (fma i 2 alpha)) (fma i 2 alpha)) (/ (* alpha i) (* (fma i 2 alpha) (fma i 2 alpha))))))
* [misc]none:  prog is (λ (alpha beta i) (fma (/ (fma i (+ (+ beta i) alpha) (* beta alpha)) (- (* (fma i 2 alpha) (fma i 2 alpha)) 1.0)) (* (/ i (fma i 2 alpha)) (/ i (fma i 2 alpha))) (* (/ (fma i (+ (+ beta i) alpha) (* beta alpha)) (- (* (fma i 2 alpha) (fma i 2 alpha)) 1.0)) (+ (/ (/ (* beta i) (fma i 2 alpha)) (fma i 2 alpha)) (/ (* alpha i) (* (fma i 2 alpha) (fma i 2 alpha)))))))
* * * [misc]progress:  simplifying alt 86 of 120
* [enter]simplify:  Simplifying (cube (cbrt (+ (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) (pow beta 3)) (+ (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i)) (pow beta 4)) (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) (pow beta 4))))))
* * [misc]simplify:  iters left: 3 (28 enodes)
* * [misc]simplify:  iters left: 2 (51 enodes)
* * [misc]simplify:  iters left: 1 (72 enodes)
* [exit]simplify:  Simplified to (fma (/ (fma (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i)) (/ 1 (* beta alpha))) (cube beta)) i (+ (/ (fma (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i)) (/ 1 (* beta alpha))) (/ (pow beta 4) (* i i))) (/ (fma (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i)) (/ 1 (* beta alpha))) (/ (pow beta 4) (* alpha i)))))
* [misc]none:  prog is (λ (alpha beta i) (fma (/ (fma (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i)) (/ 1 (* beta alpha))) (cube beta)) i (+ (/ (fma (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i)) (/ 1 (* beta alpha))) (/ (pow beta 4) (* i i))) (/ (fma (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i)) (/ 1 (* beta alpha))) (/ (pow beta 4) (* alpha i))))))
* * * [misc]progress:  simplifying alt 87 of 120
* [enter]simplify:  Simplifying (cube (cbrt (+ (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i)) (pow beta 4)) (+ (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i) (pow beta 3)) (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* alpha i)) (pow beta 4))))))
* * [misc]simplify:  iters left: 3 (35 enodes)
* * [misc]simplify:  iters left: 2 (64 enodes)
* * [misc]simplify:  iters left: 1 (92 enodes)
* [exit]simplify:  Simplified to (+ (/ (fma (/ -1 i) (- (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) (/ 1 (* beta alpha))) (/ (pow beta 4) (* alpha i))) (fma (/ (fma (/ -1 i) (- (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) (/ 1 (* beta alpha))) (cube beta)) i (/ (fma (/ -1 i) (- (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) (/ 1 (* beta alpha))) (/ (pow beta 4) (* i i)))))
* [misc]none:  prog is (λ (alpha beta i) (+ (/ (fma (/ -1 i) (- (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) (/ 1 (* beta alpha))) (/ (pow beta 4) (* alpha i))) (fma (/ (fma (/ -1 i) (- (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) (/ 1 (* beta alpha))) (cube beta)) i (/ (fma (/ -1 i) (- (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) (/ 1 (* beta alpha))) (/ (pow beta 4) (* i i))))))
* * * [misc]progress:  simplifying alt 88 of 120
* [enter]simplify:  Simplifying (cube (cbrt (/ (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* beta i)) (sqr (fma i 2 alpha))) (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (sqr (fma i 2 alpha))) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (sqr (fma i 2 alpha))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0))))
* * [misc]simplify:  iters left: 3 (28 enodes)
* * [misc]simplify:  iters left: 2 (50 enodes)
* * [misc]simplify:  iters left: 1 (102 enodes)
* [exit]simplify:  Simplified to (/ (fma (/ (fma i (+ (+ i beta) alpha) (* beta alpha)) (fma i 2 alpha)) (/ (* alpha i) (fma i 2 alpha)) (* (/ (fma i (+ (+ i beta) alpha) (* beta alpha)) (fma i 2 alpha)) (+ (/ (sqr i) (fma i 2 alpha)) (/ (* beta i) (fma i 2 alpha))))) (- (sqr (+ (fma i 2 alpha) beta)) 1.0))
* [misc]none:  prog is (λ (alpha beta i) (/ (fma (/ (fma i (+ (+ i beta) alpha) (* beta alpha)) (fma i 2 alpha)) (/ (* alpha i) (fma i 2 alpha)) (* (/ (fma i (+ (+ i beta) alpha) (* beta alpha)) (fma i 2 alpha)) (+ (/ (sqr i) (fma i 2 alpha)) (/ (* beta i) (fma i 2 alpha))))) (- (sqr (+ (fma i 2 alpha) beta)) 1.0)))
* * * [misc]progress:  simplifying alt 89 of 120
* [enter]simplify:  Simplifying (cube (cbrt (/ (+ (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) beta) (+ (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i)) (sqr beta)) (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) (sqr beta)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0))))
* * [misc]simplify:  iters left: 3 (32 enodes)
* * [misc]simplify:  iters left: 2 (57 enodes)
* * [misc]simplify:  iters left: 1 (96 enodes)
* [exit]simplify:  Simplified to (/ (fma (/ i (/ beta i)) (/ (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (/ 1 (* beta alpha))) beta) (* (/ (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (/ 1 (* beta alpha))) beta) (+ i (/ (* alpha i) beta)))) (- (* (+ beta (fma i 2 alpha)) (+ beta (fma i 2 alpha))) 1.0))
* [misc]none:  prog is (λ (alpha beta i) (/ (fma (/ i (/ beta i)) (/ (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (/ 1 (* beta alpha))) beta) (* (/ (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (/ 1 (* beta alpha))) beta) (+ i (/ (* alpha i) beta)))) (- (* (+ beta (fma i 2 alpha)) (+ beta (fma i 2 alpha))) 1.0)))
* * * [misc]progress:  simplifying alt 90 of 120
* [enter]simplify:  Simplifying (cube (cbrt (/ (+ (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i) beta) (+ (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr i)) (sqr beta)) (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* alpha i)) (sqr beta)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0))))
* * [misc]simplify:  iters left: 3 (35 enodes)
* * [misc]simplify:  iters left: 2 (63 enodes)
* * [misc]simplify:  iters left: 1 (109 enodes)
* [exit]simplify:  Simplified to (/ (fma (/ (fma (/ -1 i) (+ (/ (- 1) beta) (+ (/ (- 1) alpha) (/ (- 1) i))) (/ 1 (* alpha beta))) beta) i (* (/ (fma (/ -1 i) (+ (/ (- 1) beta) (+ (/ (- 1) alpha) (/ (- 1) i))) (/ 1 (* alpha beta))) beta) (+ (/ i (/ beta i)) (/ i (/ beta alpha))))) (- (sqr (+ (fma i 2 alpha) beta)) 1.0))
* [misc]none:  prog is (λ (alpha beta i) (/ (fma (/ (fma (/ -1 i) (+ (/ (- 1) beta) (+ (/ (- 1) alpha) (/ (- 1) i))) (/ 1 (* alpha beta))) beta) i (* (/ (fma (/ -1 i) (+ (/ (- 1) beta) (+ (/ (- 1) alpha) (/ (- 1) i))) (/ 1 (* alpha beta))) beta) (+ (/ i (/ beta i)) (/ i (/ beta alpha))))) (- (sqr (+ (fma i 2 alpha) beta)) 1.0)))
* * * [misc]progress:  simplifying alt 91 of 120
* [enter]simplify:  Simplifying (cube (cbrt (/ (* (+ beta (+ alpha i)) (* i (fma i (+ beta (+ alpha i)) (* beta alpha)))) (* (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0) (sqr (+ beta (fma i 2 alpha)))))))
* * [misc]simplify:  iters left: 3 (25 enodes)
* * [misc]simplify:  iters left: 2 (51 enodes)
* * [misc]simplify:  iters left: 1 (112 enodes)
* [exit]simplify:  Simplified to (* (/ (fma i (+ i (+ beta alpha)) (* alpha beta)) (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta))) (/ (* (+ i (+ beta alpha)) i) (fma (fma i 2 alpha) (fma 2 beta (fma i 2 alpha)) (- (sqr beta) 1.0))))
* [misc]none:  prog is (λ (alpha beta i) (* (/ (fma i (+ i (+ beta alpha)) (* alpha beta)) (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta))) (/ (* (+ i (+ beta alpha)) i) (fma (fma i 2 alpha) (fma 2 beta (fma i 2 alpha)) (- (sqr beta) 1.0)))))
* * * [misc]progress:  simplifying alt 92 of 120
* [enter]simplify:  Simplifying (cube (cbrt (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0) (* (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) i)))))
* * [misc]simplify:  iters left: 3 (31 enodes)
* * [misc]simplify:  iters left: 2 (65 enodes)
* * [misc]simplify:  iters left: 1 (130 enodes)
* [exit]simplify:  Simplified to (* (/ (fma (/ 1 i) (+ (/ 1 alpha) (+ (/ 1 beta) (/ 1 i))) (/ 1 (* beta alpha))) (- (fma (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta) 2 (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 (* beta beta)))) 1.0)) (/ (+ (/ 1 alpha) (+ (/ 1 beta) (/ 1 i))) (* (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (* (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) i))))
* [misc]none:  prog is (λ (alpha beta i) (* (/ (fma (/ 1 i) (+ (/ 1 alpha) (+ (/ 1 beta) (/ 1 i))) (/ 1 (* beta alpha))) (- (fma (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta) 2 (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 (* beta beta)))) 1.0)) (/ (+ (/ 1 alpha) (+ (/ 1 beta) (/ 1 i))) (* (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (* (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) i)))))
* * * [misc]progress:  simplifying alt 93 of 120
* [enter]simplify:  Simplifying (cube (cbrt (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* i (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0)))))))
* * [misc]simplify:  iters left: 3 (35 enodes)
* * [misc]simplify:  iters left: 2 (75 enodes)
* * [misc]simplify:  iters left: 1 (153 enodes)
* [exit]simplify:  Simplified to (* (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* alpha beta))) (- (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) 2 (/ -1 alpha)) (/ (/ 1 beta) beta)) (fma (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta) 2 1.0))) (/ (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i)))
* [misc]none:  prog is (λ (alpha beta i) (* (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* alpha beta))) (- (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) 2 (/ -1 alpha)) (/ (/ 1 beta) beta)) (fma (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta) 2 1.0))) (/ (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))))
* * * [misc]progress:  simplifying alt 94 of 120
* [enter]simplify:  Simplifying (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* beta i)) (* (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0) (sqr (+ beta (fma i 2 alpha))))) (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0) (sqr (+ beta (fma i 2 alpha))))) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (* (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0) (sqr (+ beta (fma i 2 alpha)))))))
* * [misc]simplify:  iters left: 3 (31 enodes)
* * [misc]simplify:  iters left: 2 (73 enodes)
* * [misc]simplify:  iters left: 1 (176 enodes)
* [exit]simplify:  Simplified to (fma (/ (fma i (+ beta (+ i alpha)) (* beta alpha)) (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (* beta beta) 1.0))) (/ (/ (* alpha i) (+ (fma i 2 alpha) beta)) (+ (fma i 2 alpha) beta)) (* (/ (fma i (+ beta (+ i alpha)) (* beta alpha)) (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (* beta beta) 1.0))) (+ (* (/ i (+ (fma i 2 alpha) beta)) (/ beta (+ (fma i 2 alpha) beta))) (* (/ i (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta))))))
* [misc]none:  prog is (λ (alpha beta i) (fma (/ (fma i (+ beta (+ i alpha)) (* beta alpha)) (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (* beta beta) 1.0))) (/ (/ (* alpha i) (+ (fma i 2 alpha) beta)) (+ (fma i 2 alpha) beta)) (* (/ (fma i (+ beta (+ i alpha)) (* beta alpha)) (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (* beta beta) 1.0))) (+ (* (/ i (+ (fma i 2 alpha) beta)) (/ beta (+ (fma i 2 alpha) beta))) (* (/ i (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta)))))))
* * * [misc]progress:  simplifying alt 95 of 120
* [enter]simplify:  Simplifying 0
* * [misc]simplify:  iters left: 0 (1 enodes)
* [exit]simplify:  Simplified to 0
* [misc]none:  prog is (λ (alpha beta i) 0)
* * * [misc]progress:  simplifying alt 96 of 120
* [enter]simplify:  Simplifying 0
* * [misc]simplify:  iters left: 0 (1 enodes)
* [exit]simplify:  Simplified to 0
* [misc]none:  prog is (λ (alpha beta i) 0)
* * * [misc]progress:  simplifying alt 97 of 120
* [enter]simplify:  Simplifying (/ (* (/ i (+ (fma i 2 alpha) beta)) (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta))) (/ (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha)))))
* * [misc]simplify:  iters left: 3 (29 enodes)
* * [misc]simplify:  iters left: 2 (48 enodes)
* * [misc]simplify:  iters left: 1 (81 enodes)
* [exit]simplify:  Simplified to (/ (* (/ i (+ beta (fma i 2 alpha))) (/ (+ alpha (+ beta i)) (+ beta (fma i 2 alpha)))) (/ (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ (/ 1 beta) beta) 1.0)) (fma (/ 1 i) (+ (+ (/ 1 i) (/ 1 beta)) (/ 1 alpha)) (/ (/ 1 beta) alpha))))
* [misc]none:  prog is (λ (alpha beta i) (/ (* (/ i (+ beta (fma i 2 alpha))) (/ (+ alpha (+ beta i)) (+ beta (fma i 2 alpha)))) (/ (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ (/ 1 beta) beta) 1.0)) (fma (/ 1 i) (+ (+ (/ 1 i) (/ 1 beta)) (/ 1 alpha)) (/ (/ 1 beta) alpha)))))
* * * [misc]progress:  simplifying alt 98 of 120
* [enter]simplify:  Simplifying (/ (* (/ i (+ (fma i 2 alpha) beta)) (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta))) (/ (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) (fma i (+ beta (+ alpha i)) (* beta alpha))))
* * [misc]simplify:  iters left: 3 (21 enodes)
* * [misc]simplify:  iters left: 2 (36 enodes)
* * [misc]simplify:  iters left: 1 (65 enodes)
* [exit]simplify:  Simplified to (/ (* (/ i (+ beta (fma i 2 alpha))) (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha)))) (/ (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (* beta beta) 1.0)) (fma i (+ (+ beta alpha) i) (* beta alpha))))
* [misc]none:  prog is (λ (alpha beta i) (/ (* (/ i (+ beta (fma i 2 alpha))) (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha)))) (/ (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (* beta beta) 1.0)) (fma i (+ (+ beta alpha) i) (* beta alpha)))))
* * * [misc]progress:  simplifying alt 99 of 120
* [enter]simplify:  Simplifying (/ (* (/ i (+ (fma i 2 alpha) beta)) (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta))) (/ (fma (fma (* -1 i) 2 (* -1 alpha)) (fma (* -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (- (sqr beta) 1.0)) (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))))
* * [misc]simplify:  iters left: 3 (27 enodes)
* * [misc]simplify:  iters left: 2 (50 enodes)
* * [misc]simplify:  iters left: 1 (84 enodes)
* [exit]simplify:  Simplified to (* (/ (* (/ i (+ beta (fma i 2 alpha))) (/ (+ (+ beta i) alpha) (+ beta (fma i 2 alpha)))) (fma (fma (- i) 2 (- alpha)) (fma (- beta) 2 (fma (- i) 2 (- alpha))) (- (* beta beta) 1.0))) (fma (- i) (- (+ (+ beta i) alpha)) (* beta alpha)))
* [misc]none:  prog is (λ (alpha beta i) (* (/ (* (/ i (+ beta (fma i 2 alpha))) (/ (+ (+ beta i) alpha) (+ beta (fma i 2 alpha)))) (fma (fma (- i) 2 (- alpha)) (fma (- beta) 2 (fma (- i) 2 (- alpha))) (- (* beta beta) 1.0))) (fma (- i) (- (+ (+ beta i) alpha)) (* beta alpha))))
* * * [misc]progress:  simplifying alt 100 of 120
* [enter]simplify:  Simplifying (+ (/ (* (sqr i) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha)))) (* (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)) (sqr (fma i 2 alpha)))) (+ (/ (* beta (* i (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))))) (* (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)) (sqr (fma i 2 alpha)))) (/ (* alpha (* i (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha))))) (* (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)) (sqr (fma i 2 alpha))))))
* * [misc]simplify:  iters left: 3 (33 enodes)
* * [misc]simplify:  iters left: 2 (69 enodes)
* * [misc]simplify:  iters left: 1 (133 enodes)
* [exit]simplify:  Simplified to (fma (* (/ i (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ (/ 1 beta) beta) 1.0))) (/ i (sqr (fma i 2 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 i) (/ 1 alpha)) (/ 1 beta)) (/ (/ 1 beta) alpha)) (fma (/ beta (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ (/ 1 beta) beta) 1.0))) (/ (fma (/ 1 i) (+ (+ (/ 1 i) (/ 1 alpha)) (/ 1 beta)) (/ (/ 1 beta) alpha)) (/ (sqr (fma i 2 alpha)) i)) (* (/ alpha (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ (/ 1 beta) beta) 1.0))) (/ (fma (/ 1 i) (+ (+ (/ 1 i) (/ 1 alpha)) (/ 1 beta)) (/ (/ 1 beta) alpha)) (/ (sqr (fma i 2 alpha)) i)))))
* [misc]none:  prog is (λ (alpha beta i) (fma (* (/ i (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ (/ 1 beta) beta) 1.0))) (/ i (sqr (fma i 2 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 i) (/ 1 alpha)) (/ 1 beta)) (/ (/ 1 beta) alpha)) (fma (/ beta (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ (/ 1 beta) beta) 1.0))) (/ (fma (/ 1 i) (+ (+ (/ 1 i) (/ 1 alpha)) (/ 1 beta)) (/ (/ 1 beta) alpha)) (/ (sqr (fma i 2 alpha)) i)) (* (/ alpha (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ (/ 1 beta) beta) 1.0))) (/ (fma (/ 1 i) (+ (+ (/ 1 i) (/ 1 alpha)) (/ 1 beta)) (/ (/ 1 beta) alpha)) (/ (sqr (fma i 2 alpha)) i))))))
* * * [misc]progress:  simplifying alt 101 of 120
* [enter]simplify:  Simplifying (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (sqr beta) (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)))) (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* beta (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)))) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (* (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) (sqr beta)))))
* * [misc]simplify:  iters left: 3 (27 enodes)
* * [misc]simplify:  iters left: 2 (61 enodes)
* * [misc]simplify:  iters left: 1 (123 enodes)
* [exit]simplify:  Simplified to (fma (* (/ i beta) (/ i beta)) (/ (fma i (+ (+ i beta) alpha) (* beta alpha)) (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (* beta beta) 1.0))) (* (/ (fma i (+ (+ i beta) alpha) (* beta alpha)) (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (* beta beta) 1.0))) (+ (/ i beta) (/ (* alpha i) (* beta beta)))))
* [misc]none:  prog is (λ (alpha beta i) (fma (* (/ i beta) (/ i beta)) (/ (fma i (+ (+ i beta) alpha) (* beta alpha)) (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (* beta beta) 1.0))) (* (/ (fma i (+ (+ i beta) alpha) (* beta alpha)) (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (* beta beta) 1.0))) (+ (/ i beta) (/ (* alpha i) (* beta beta))))))
* * * [misc]progress:  simplifying alt 102 of 120
* [enter]simplify:  Simplifying (+ (/ (* (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) (* alpha i)) (* (fma (fma (* -1 i) 2 (* -1 alpha)) (fma (* -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (- (sqr beta) 1.0)) (sqr beta))) (+ (/ (* (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) i) (* beta (fma (fma (* -1 i) 2 (* -1 alpha)) (fma (* -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (- (sqr beta) 1.0)))) (/ (* (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) (sqr i)) (* (sqr beta) (fma (fma (* -1 i) 2 (* -1 alpha)) (fma (* -1 beta) 2 (fma (* -1 i) 2 (* -1 alpha))) (- (sqr beta) 1.0))))))
* * [misc]simplify:  iters left: 3 (32 enodes)
* * [misc]simplify:  iters left: 2 (74 enodes)
* * [misc]simplify:  iters left: 1 (144 enodes)
* [exit]simplify:  Simplified to (fma (/ (fma (- i) (- (+ i (+ alpha beta))) (* alpha beta)) (fma (fma (- i) 2 (- alpha)) (fma (- beta) 2 (fma (- i) 2 (- alpha))) (- (* beta beta) 1.0))) (* (/ i beta) (/ alpha beta)) (* (/ (fma (- i) (- (+ i (+ alpha beta))) (* alpha beta)) (fma (fma (- i) 2 (- alpha)) (fma (- beta) 2 (fma (- i) 2 (- alpha))) (- (* beta beta) 1.0))) (+ (* (/ i beta) (/ i beta)) (/ i beta))))
* [misc]none:  prog is (λ (alpha beta i) (fma (/ (fma (- i) (- (+ i (+ alpha beta))) (* alpha beta)) (fma (fma (- i) 2 (- alpha)) (fma (- beta) 2 (fma (- i) 2 (- alpha))) (- (* beta beta) 1.0))) (* (/ i beta) (/ alpha beta)) (* (/ (fma (- i) (- (+ i (+ alpha beta))) (* alpha beta)) (fma (fma (- i) 2 (- alpha)) (fma (- beta) 2 (fma (- i) 2 (- alpha))) (- (* beta beta) 1.0))) (+ (* (/ i beta) (/ i beta)) (/ i beta)))))
* * * [misc]progress:  simplifying alt 103 of 120
* [enter]simplify:  Simplifying (/ (* (/ i (+ (fma i 2 alpha) beta)) (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta))) (/ (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha)))))
* * [misc]simplify:  iters left: 3 (29 enodes)
* * [misc]simplify:  iters left: 2 (48 enodes)
* * [misc]simplify:  iters left: 1 (81 enodes)
* [exit]simplify:  Simplified to (/ (* (/ i (+ beta (fma i 2 alpha))) (/ (+ alpha (+ beta i)) (+ beta (fma i 2 alpha)))) (/ (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ (/ 1 beta) beta) 1.0)) (fma (/ 1 i) (+ (+ (/ 1 i) (/ 1 beta)) (/ 1 alpha)) (/ (/ 1 beta) alpha))))
* [misc]none:  prog is (λ (alpha beta i) (/ (* (/ i (+ beta (fma i 2 alpha))) (/ (+ alpha (+ beta i)) (+ beta (fma i 2 alpha)))) (/ (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ (/ 1 beta) beta) 1.0)) (fma (/ 1 i) (+ (+ (/ 1 i) (/ 1 beta)) (/ 1 alpha)) (/ (/ 1 beta) alpha)))))
* * * [misc]progress:  simplifying alt 104 of 120
* [enter]simplify:  Simplifying (/ (* (/ i (+ (fma i 2 alpha) beta)) (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta))) (/ (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)) (fma i (+ beta (+ alpha i)) (* beta alpha))))
* * [misc]simplify:  iters left: 3 (27 enodes)
* * [misc]simplify:  iters left: 2 (44 enodes)
* * [misc]simplify:  iters left: 1 (74 enodes)
* [exit]simplify:  Simplified to (/ (* (* (/ i (+ beta (fma i 2 alpha))) (/ (+ (+ beta i) alpha) (+ beta (fma i 2 alpha)))) (fma i (+ (+ beta i) alpha) (* beta alpha))) (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ (/ 1 beta) beta) 1.0)))
* [misc]none:  prog is (λ (alpha beta i) (/ (* (* (/ i (+ beta (fma i 2 alpha))) (/ (+ (+ beta i) alpha) (+ beta (fma i 2 alpha)))) (fma i (+ (+ beta i) alpha) (* beta alpha))) (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ (/ 1 beta) beta) 1.0))))
* * * [misc]progress:  simplifying alt 105 of 120
* [enter]simplify:  Simplifying (/ (* (/ i (+ (fma i 2 alpha) beta)) (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta))) (/ (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)) (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))))
* * [misc]simplify:  iters left: 3 (30 enodes)
* * [misc]simplify:  iters left: 2 (52 enodes)
* * [misc]simplify:  iters left: 1 (86 enodes)
* [exit]simplify:  Simplified to (/ (* (* (/ i (+ beta (fma i 2 alpha))) (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha)))) (fma (- i) (- (+ (+ beta alpha) i)) (* beta alpha))) (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ (/ 1 beta) beta) 1.0)))
* [misc]none:  prog is (λ (alpha beta i) (/ (* (* (/ i (+ beta (fma i 2 alpha))) (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha)))) (fma (- i) (- (+ (+ beta alpha) i)) (* beta alpha))) (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ (/ 1 beta) beta) 1.0))))
* * * [misc]progress:  simplifying alt 106 of 120
* [enter]simplify:  Simplifying (/ (* (/ i (+ (fma i 2 alpha) beta)) (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta))) (/ (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha)))))
* * [misc]simplify:  iters left: 3 (29 enodes)
* * [misc]simplify:  iters left: 2 (48 enodes)
* * [misc]simplify:  iters left: 1 (81 enodes)
* [exit]simplify:  Simplified to (/ (* (/ i (+ beta (fma i 2 alpha))) (/ (+ alpha (+ beta i)) (+ beta (fma i 2 alpha)))) (/ (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ (/ 1 beta) beta) 1.0)) (fma (/ 1 i) (+ (+ (/ 1 i) (/ 1 beta)) (/ 1 alpha)) (/ (/ 1 beta) alpha))))
* [misc]none:  prog is (λ (alpha beta i) (/ (* (/ i (+ beta (fma i 2 alpha))) (/ (+ alpha (+ beta i)) (+ beta (fma i 2 alpha)))) (/ (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ (/ 1 beta) beta) 1.0)) (fma (/ 1 i) (+ (+ (/ 1 i) (/ 1 beta)) (/ 1 alpha)) (/ (/ 1 beta) alpha)))))
* * * [misc]progress:  simplifying alt 107 of 120
* [enter]simplify:  Simplifying (/ (* (/ i (+ (fma i 2 alpha) beta)) (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta))) (/ (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha)))))
* * [misc]simplify:  iters left: 3 (29 enodes)
* * [misc]simplify:  iters left: 2 (48 enodes)
* * [misc]simplify:  iters left: 1 (81 enodes)
* [exit]simplify:  Simplified to (/ (* (/ i (+ beta (fma i 2 alpha))) (/ (+ alpha (+ beta i)) (+ beta (fma i 2 alpha)))) (/ (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ (/ 1 beta) beta) 1.0)) (fma (/ 1 i) (+ (+ (/ 1 i) (/ 1 beta)) (/ 1 alpha)) (/ (/ 1 beta) alpha))))
* [misc]none:  prog is (λ (alpha beta i) (/ (* (/ i (+ beta (fma i 2 alpha))) (/ (+ alpha (+ beta i)) (+ beta (fma i 2 alpha)))) (/ (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ (/ 1 beta) beta) 1.0)) (fma (/ 1 i) (+ (+ (/ 1 i) (/ 1 beta)) (/ 1 alpha)) (/ (/ 1 beta) alpha)))))
* * * [misc]progress:  simplifying alt 108 of 120
* [enter]simplify:  Simplifying (/ (* (/ i (+ (fma i 2 alpha) beta)) (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta))) (/ (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (sqr beta)) 1.0)) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* beta alpha)))))
* * [misc]simplify:  iters left: 3 (29 enodes)
* * [misc]simplify:  iters left: 2 (48 enodes)
* * [misc]simplify:  iters left: 1 (81 enodes)
* [exit]simplify:  Simplified to (/ (* (/ i (+ beta (fma i 2 alpha))) (/ (+ alpha (+ beta i)) (+ beta (fma i 2 alpha)))) (/ (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ (/ 1 beta) beta) 1.0)) (fma (/ 1 i) (+ (+ (/ 1 i) (/ 1 beta)) (/ 1 alpha)) (/ (/ 1 beta) alpha))))
* [misc]none:  prog is (λ (alpha beta i) (/ (* (/ i (+ beta (fma i 2 alpha))) (/ (+ alpha (+ beta i)) (+ beta (fma i 2 alpha)))) (/ (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ (/ 1 beta) beta) 1.0)) (fma (/ 1 i) (+ (+ (/ 1 i) (/ 1 beta)) (/ 1 alpha)) (/ (/ 1 beta) alpha)))))
* * * [misc]progress:  simplifying alt 109 of 120
* [enter]simplify:  Simplifying (/ (* (* (* (- (+ (/ i (sqr (fma i 2 alpha))) (+ (/ alpha (sqr (fma i 2 alpha))) (/ beta (sqr (fma i 2 alpha)))))) (- beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0))
* * [misc]simplify:  iters left: 3 (26 enodes)
* * [misc]simplify:  iters left: 2 (49 enodes)
* * [misc]simplify:  iters left: 1 (109 enodes)
* [exit]simplify:  Simplified to (* (/ (+ (+ (/ (- i) (* (fma i 2 alpha) (fma i 2 alpha))) (/ (- beta) (* (fma i 2 alpha) (fma i 2 alpha)))) (/ (- alpha) (* (fma i 2 alpha) (fma i 2 alpha)))) (/ (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0) i)) (/ (* (- beta (fma i 2 alpha)) (fma i (+ (+ alpha beta) i) (* beta alpha))) (+ (fma i 2 alpha) beta)))
* [misc]none:  prog is (λ (alpha beta i) (* (/ (+ (+ (/ (- i) (* (fma i 2 alpha) (fma i 2 alpha))) (/ (- beta) (* (fma i 2 alpha) (fma i 2 alpha)))) (/ (- alpha) (* (fma i 2 alpha) (fma i 2 alpha)))) (/ (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0) i)) (/ (* (- beta (fma i 2 alpha)) (fma i (+ (+ alpha beta) i) (* beta alpha))) (+ (fma i 2 alpha) beta))))
* * * [misc]progress:  simplifying alt 110 of 120
* [enter]simplify:  Simplifying (/ (* (* (* (+ (/ 1 beta) (+ (/ alpha (sqr beta)) (/ i (sqr beta)))) (- beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0))
* * [misc]simplify:  iters left: 3 (26 enodes)
* * [misc]simplify:  iters left: 2 (46 enodes)
* * [misc]simplify:  iters left: 1 (96 enodes)
* [exit]simplify:  Simplified to (/ (* (* (- beta (fma i 2 alpha)) (fma i (+ (+ beta i) alpha) (* alpha beta))) (+ (/ 1 beta) (+ (/ (/ alpha beta) beta) (/ (/ i beta) beta)))) (/ (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0) (/ i (+ (fma i 2 alpha) beta))))
* [misc]none:  prog is (λ (alpha beta i) (/ (* (* (- beta (fma i 2 alpha)) (fma i (+ (+ beta i) alpha) (* alpha beta))) (+ (/ 1 beta) (+ (/ (/ alpha beta) beta) (/ (/ i beta) beta)))) (/ (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0) (/ i (+ (fma i 2 alpha) beta)))))
* * * [misc]progress:  simplifying alt 111 of 120
* [enter]simplify:  Simplifying (/ (* (* (* (+ (/ 1 beta) (+ (/ alpha (sqr beta)) (/ i (sqr beta)))) (- beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0))
* * [misc]simplify:  iters left: 3 (26 enodes)
* * [misc]simplify:  iters left: 2 (46 enodes)
* * [misc]simplify:  iters left: 1 (96 enodes)
* [exit]simplify:  Simplified to (/ (* (* (- beta (fma i 2 alpha)) (fma i (+ (+ beta i) alpha) (* alpha beta))) (+ (/ 1 beta) (+ (/ (/ alpha beta) beta) (/ (/ i beta) beta)))) (/ (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0) (/ i (+ (fma i 2 alpha) beta))))
* [misc]none:  prog is (λ (alpha beta i) (/ (* (* (- beta (fma i 2 alpha)) (fma i (+ (+ beta i) alpha) (* alpha beta))) (+ (/ 1 beta) (+ (/ (/ alpha beta) beta) (/ (/ i beta) beta)))) (/ (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0) (/ i (+ (fma i 2 alpha) beta)))))
* * * [misc]progress:  simplifying alt 112 of 120
* [enter]simplify:  Simplifying (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* beta i)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))))
* * [misc]simplify:  iters left: 3 (24 enodes)
* * [misc]simplify:  iters left: 2 (56 enodes)
* * [misc]simplify:  iters left: 1 (134 enodes)
* [exit]simplify:  Simplified to (fma (* (/ i (fma i 2 alpha)) (/ i (fma i 2 alpha))) (/ (fma i (+ beta (+ i alpha)) (* beta alpha)) (- (* (fma i 2 alpha) (fma i 2 alpha)) 1.0)) (* (/ (fma i (+ beta (+ i alpha)) (* beta alpha)) (- (* (fma i 2 alpha) (fma i 2 alpha)) 1.0)) (+ (* (/ i (fma i 2 alpha)) (/ alpha (fma i 2 alpha))) (* (/ beta (fma i 2 alpha)) (/ i (fma i 2 alpha))))))
* [misc]none:  prog is (λ (alpha beta i) (fma (* (/ i (fma i 2 alpha)) (/ i (fma i 2 alpha))) (/ (fma i (+ beta (+ i alpha)) (* beta alpha)) (- (* (fma i 2 alpha) (fma i 2 alpha)) 1.0)) (* (/ (fma i (+ beta (+ i alpha)) (* beta alpha)) (- (* (fma i 2 alpha) (fma i 2 alpha)) 1.0)) (+ (* (/ i (fma i 2 alpha)) (/ alpha (fma i 2 alpha))) (* (/ beta (fma i 2 alpha)) (/ i (fma i 2 alpha)))))))
* * * [misc]progress:  simplifying alt 113 of 120
* [enter]simplify:  Simplifying (+ (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) (pow beta 3)) (+ (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i)) (pow beta 4)) (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) (pow beta 4))))
* * [misc]simplify:  iters left: 3 (26 enodes)
* * [misc]simplify:  iters left: 2 (47 enodes)
* * [misc]simplify:  iters left: 1 (66 enodes)
* [exit]simplify:  Simplified to (fma (/ (fma (/ 1 i) (+ (/ 1 alpha) (+ (/ 1 beta) (/ 1 i))) (/ 1 (* beta alpha))) (cube beta)) i (+ (/ (fma (/ 1 i) (+ (/ 1 alpha) (+ (/ 1 beta) (/ 1 i))) (/ 1 (* beta alpha))) (/ (pow beta 4) (* i i))) (/ (fma (/ 1 i) (+ (/ 1 alpha) (+ (/ 1 beta) (/ 1 i))) (/ 1 (* beta alpha))) (/ (pow beta 4) (* alpha i)))))
* [misc]none:  prog is (λ (alpha beta i) (fma (/ (fma (/ 1 i) (+ (/ 1 alpha) (+ (/ 1 beta) (/ 1 i))) (/ 1 (* beta alpha))) (cube beta)) i (+ (/ (fma (/ 1 i) (+ (/ 1 alpha) (+ (/ 1 beta) (/ 1 i))) (/ 1 (* beta alpha))) (/ (pow beta 4) (* i i))) (/ (fma (/ 1 i) (+ (/ 1 alpha) (+ (/ 1 beta) (/ 1 i))) (/ 1 (* beta alpha))) (/ (pow beta 4) (* alpha i))))))
* * * [misc]progress:  simplifying alt 114 of 120
* [enter]simplify:  Simplifying (+ (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr i)) (pow beta 4)) (+ (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i) (pow beta 3)) (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* alpha i)) (pow beta 4))))
* * [misc]simplify:  iters left: 3 (33 enodes)
* * [misc]simplify:  iters left: 2 (60 enodes)
* * [misc]simplify:  iters left: 1 (86 enodes)
* [exit]simplify:  Simplified to (+ (fma (/ (fma (/ -1 i) (- (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) (/ 1 (* beta alpha))) (cube beta)) i (/ (fma (/ -1 i) (- (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) (/ 1 (* beta alpha))) (/ (pow beta 4) (* i i)))) (/ (fma (/ -1 i) (- (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) (/ 1 (* beta alpha))) (/ (pow beta 4) (* alpha i))))
* [misc]none:  prog is (λ (alpha beta i) (+ (fma (/ (fma (/ -1 i) (- (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) (/ 1 (* beta alpha))) (cube beta)) i (/ (fma (/ -1 i) (- (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) (/ 1 (* beta alpha))) (/ (pow beta 4) (* i i)))) (/ (fma (/ -1 i) (- (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) (/ 1 (* beta alpha))) (/ (pow beta 4) (* alpha i)))))
* * * [misc]progress:  simplifying alt 115 of 120
* [enter]simplify:  Simplifying (/ (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* beta i)) (sqr (fma i 2 alpha))) (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (sqr (fma i 2 alpha))) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (sqr (fma i 2 alpha))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0))
* * [misc]simplify:  iters left: 3 (26 enodes)
* * [misc]simplify:  iters left: 2 (46 enodes)
* * [misc]simplify:  iters left: 1 (96 enodes)
* [exit]simplify:  Simplified to (/ (fma (/ (fma i (+ (+ i beta) alpha) (* beta alpha)) (fma i 2 alpha)) (/ (* alpha i) (fma i 2 alpha)) (* (/ (fma i (+ (+ i beta) alpha) (* beta alpha)) (fma i 2 alpha)) (+ (/ (sqr i) (fma i 2 alpha)) (/ (* beta i) (fma i 2 alpha))))) (- (sqr (+ (fma i 2 alpha) beta)) 1.0))
* [misc]none:  prog is (λ (alpha beta i) (/ (fma (/ (fma i (+ (+ i beta) alpha) (* beta alpha)) (fma i 2 alpha)) (/ (* alpha i) (fma i 2 alpha)) (* (/ (fma i (+ (+ i beta) alpha) (* beta alpha)) (fma i 2 alpha)) (+ (/ (sqr i) (fma i 2 alpha)) (/ (* beta i) (fma i 2 alpha))))) (- (sqr (+ (fma i 2 alpha) beta)) 1.0)))
* * * [misc]progress:  simplifying alt 116 of 120
* [enter]simplify:  Simplifying (/ (+ (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) beta) (+ (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i)) (sqr beta)) (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) (sqr beta)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0))
* * [misc]simplify:  iters left: 3 (30 enodes)
* * [misc]simplify:  iters left: 2 (53 enodes)
* * [misc]simplify:  iters left: 1 (90 enodes)
* [exit]simplify:  Simplified to (/ (fma (/ (fma (/ 1 i) (+ (/ 1 alpha) (+ (/ 1 beta) (/ 1 i))) (/ 1 (* beta alpha))) beta) (/ (* i i) beta) (* (/ (fma (/ 1 i) (+ (/ 1 alpha) (+ (/ 1 beta) (/ 1 i))) (/ 1 (* beta alpha))) beta) (+ (/ (* alpha i) beta) i))) (- (* (+ beta (fma i 2 alpha)) (+ beta (fma i 2 alpha))) 1.0))
* [misc]none:  prog is (λ (alpha beta i) (/ (fma (/ (fma (/ 1 i) (+ (/ 1 alpha) (+ (/ 1 beta) (/ 1 i))) (/ 1 (* beta alpha))) beta) (/ (* i i) beta) (* (/ (fma (/ 1 i) (+ (/ 1 alpha) (+ (/ 1 beta) (/ 1 i))) (/ 1 (* beta alpha))) beta) (+ (/ (* alpha i) beta) i))) (- (* (+ beta (fma i 2 alpha)) (+ beta (fma i 2 alpha))) 1.0)))
* * * [misc]progress:  simplifying alt 117 of 120
* [enter]simplify:  Simplifying (/ (+ (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i) beta) (+ (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr i)) (sqr beta)) (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* alpha i)) (sqr beta)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0))
* * [misc]simplify:  iters left: 3 (33 enodes)
* * [misc]simplify:  iters left: 2 (59 enodes)
* * [misc]simplify:  iters left: 1 (103 enodes)
* [exit]simplify:  Simplified to (/ (fma (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* alpha beta))) beta) i (* (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* alpha beta))) beta) (+ (/ i (/ beta alpha)) (/ i (/ beta i))))) (- (sqr (+ (fma i 2 alpha) beta)) 1.0))
* [misc]none:  prog is (λ (alpha beta i) (/ (fma (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* alpha beta))) beta) i (* (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* alpha beta))) beta) (+ (/ i (/ beta alpha)) (/ i (/ beta i))))) (- (sqr (+ (fma i 2 alpha) beta)) 1.0)))
* * * [misc]progress:  simplifying alt 118 of 120
* [enter]simplify:  Simplifying (/ (* (* (* (/ (+ (+ beta alpha) i) (- (sqr beta) (sqr (fma i 2 alpha)))) (- beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0))
* * [misc]simplify:  iters left: 3 (23 enodes)
* * [misc]simplify:  iters left: 2 (41 enodes)
* * [misc]simplify:  iters left: 1 (83 enodes)
* [exit]simplify:  Simplified to (/ (* (* 1 (/ (+ (+ i beta) alpha) (+ beta (fma i 2 alpha)))) (fma i (+ (+ i beta) alpha) (* alpha beta))) (/ (- (sqr (+ beta (fma i 2 alpha))) 1.0) (/ i (+ beta (fma i 2 alpha)))))
* [misc]none:  prog is (λ (alpha beta i) (/ (* (* 1 (/ (+ (+ i beta) alpha) (+ beta (fma i 2 alpha)))) (fma i (+ (+ i beta) alpha) (* alpha beta))) (/ (- (sqr (+ beta (fma i 2 alpha))) 1.0) (/ i (+ beta (fma i 2 alpha))))))
* * * [misc]progress:  simplifying alt 119 of 120
* [enter]simplify:  Simplifying (/ (* (* (* (/ (+ (+ beta alpha) i) (- (sqr beta) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))) (- beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0))
* * [misc]simplify:  iters left: 3 (27 enodes)
* * [misc]simplify:  iters left: 2 (49 enodes)
* * [misc]simplify:  iters left: 1 (92 enodes)
* [exit]simplify:  Simplified to (/ (* (/ (+ (+ beta i) alpha) (+ (fma (/ 1 i) 2 (/ 1 alpha)) beta)) (/ (- beta (fma i 2 alpha)) (- beta (fma (/ 1 i) 2 (/ 1 alpha))))) (/ (- (sqr (+ (fma i 2 alpha) beta)) 1.0) (* (/ i (+ (fma i 2 alpha) beta)) (fma i (+ (+ beta i) alpha) (* alpha beta)))))
* [misc]none:  prog is (λ (alpha beta i) (/ (* (/ (+ (+ beta i) alpha) (+ (fma (/ 1 i) 2 (/ 1 alpha)) beta)) (/ (- beta (fma i 2 alpha)) (- beta (fma (/ 1 i) 2 (/ 1 alpha))))) (/ (- (sqr (+ (fma i 2 alpha) beta)) 1.0) (* (/ i (+ (fma i 2 alpha) beta)) (fma i (+ (+ beta i) alpha) (* alpha beta))))))
* * * [misc]progress:  simplifying alt 120 of 120
* [enter]simplify:  Simplifying (/ (* (* (* (/ (+ (+ beta alpha) i) (- (sqr beta) (sqr (fma (/ -1 i) 2 (/ -1 alpha))))) (- beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0))
* * [misc]simplify:  iters left: 3 (27 enodes)
* * [misc]simplify:  iters left: 2 (47 enodes)
* * [misc]simplify:  iters left: 1 (90 enodes)
* [exit]simplify:  Simplified to (/ (* (/ (- beta (fma i 2 alpha)) (+ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) (/ (+ (+ beta i) alpha) (- beta (fma (/ -1 i) 2 (/ -1 alpha))))) (/ (- (sqr (+ (fma i 2 alpha) beta)) 1.0) (* (/ i (+ (fma i 2 alpha) beta)) (fma i (+ (+ beta i) alpha) (* alpha beta)))))
* [misc]none:  prog is (λ (alpha beta i) (/ (* (/ (- beta (fma i 2 alpha)) (+ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) (/ (+ (+ beta i) alpha) (- beta (fma (/ -1 i) 2 (/ -1 alpha))))) (/ (- (sqr (+ (fma i 2 alpha) beta)) 1.0) (* (/ i (+ (fma i 2 alpha) beta)) (fma i (+ (+ beta i) alpha) (* alpha beta))))))
* [misc]progress:  [Phase 3 of 3] Extracting.
* [enter]simplify:  Simplifying (/ (+ (- (* (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* alpha beta))) (/ beta i)) (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) 2 (/ -1 alpha))) (* beta beta))) (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* alpha beta))) (/ beta i)))) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* alpha beta))) (/ beta i))) (/ (fma (fma beta 2 (fma (/ 1 i) 2 (/ 1 alpha))) (fma (/ 1 i) 2 (/ 1 alpha)) (- (* beta beta) 1.0)) (/ (+ beta (+ alpha i)) (+ (fma i 2 alpha) beta))))
* * [misc]simplify:  iters left: 6 (40 enodes)
* * [misc]simplify:  iters left: 5 (80 enodes)
* * [misc]simplify:  iters left: 4 (155 enodes)
* * [misc]simplify:  iters left: 3 (317 enodes)
* [exit]simplify:  Simplified to (/ (fma (/ (fma (/ -1 i) (+ (/ (- 1) alpha) (+ (/ (- 1) beta) (/ (- 1) i))) (/ 1 (* alpha beta))) (/ beta i)) (- (sqr (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) (/ (fma (/ -1 i) (+ (/ (- 1) alpha) (+ (/ (- 1) beta) (/ (- 1) i))) (/ 1 (* alpha beta))) (/ beta i))) (/ (fma (fma beta 2 (fma (/ 1 i) 2 (/ 1 alpha))) (fma (/ 1 i) 2 (/ 1 alpha)) (- (* beta beta) 1.0)) (/ (+ (+ beta i) alpha) (+ beta (fma i 2 alpha)))))
* [enter]simplify:  Simplifying (/ (cbrt (+ (+ beta alpha) i)) (cbrt (+ beta (fma i 2 alpha))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (18 enodes)
* * [misc]simplify:  iters left: 3 (22 enodes)
* * [misc]simplify:  iters left: 2 (24 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (+ (+ beta alpha) i)) (cbrt (+ beta (fma i 2 alpha))))
* [exit]simplify:  Simplified to (/ (cbrt (+ (+ beta alpha) i)) (cbrt (+ beta (fma i 2 alpha))))
* [enter]simplify:  Simplifying (/ (fma (/ 1 i) (+ (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (* beta beta)) 1.0)))
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (30 enodes)
* * [misc]simplify:  iters left: 4 (33 enodes)
* * [misc]simplify:  iters left: 3 (37 enodes)
* * [misc]simplify:  iters left: 2 (39 enodes)
* [exit]simplify:  Simplified to (/ (fma (/ 1 i) (+ (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ (/ 1 beta) beta) 1.0)))
* [exit]simplify:  Simplified to (/ (fma (/ 1 i) (+ (/ 1 i) (+ (/ 1 beta) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ (/ 1 beta) beta) 1.0)))
* [enter]simplify:  Simplifying (+ (/ i beta) (* (/ i beta) (+ (/ alpha beta) (/ i beta))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (46 enodes)
* * [misc]simplify:  iters left: 3 (86 enodes)
* * [misc]simplify:  iters left: 2 (127 enodes)
* * [misc]simplify:  iters left: 1 (265 enodes)
* [exit]simplify:  Simplified to (/ (fma (/ i beta) (+ alpha i) i) beta)
* [exit]simplify:  Simplified to (/ (fma (/ i beta) (+ alpha i) i) beta)
* [enter]simplify:  Simplifying (* (/ i (+ (fma i 2 alpha) beta)) (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* * [misc]simplify:  iters left: 4 (41 enodes)
* * [misc]simplify:  iters left: 3 (91 enodes)
* * [misc]simplify:  iters left: 2 (163 enodes)
* * [misc]simplify:  iters left: 1 (210 enodes)
* [exit]simplify:  Simplified to (* (/ i (+ beta (fma i 2 alpha))) (/ (+ i (+ beta alpha)) (+ beta (fma i 2 alpha))))
* [exit]simplify:  Simplified to (* (/ i (+ beta (fma i 2 alpha))) (/ (+ i (+ beta alpha)) (+ beta (fma i 2 alpha))))
* [enter]simplify:  Simplifying (/ (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (sqr beta) 1.0)) (fma i (+ (+ alpha i) beta) (* alpha beta)))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* * [misc]simplify:  iters left: 4 (23 enodes)
* * [misc]simplify:  iters left: 3 (27 enodes)
* * [misc]simplify:  iters left: 2 (29 enodes)
* [exit]simplify:  Simplified to (/ (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (* beta beta) 1.0)) (fma i (+ alpha (+ beta i)) (* beta alpha)))
* [exit]simplify:  Simplified to (/ (fma (fma i 2 alpha) (fma beta 2 (fma i 2 alpha)) (- (* beta beta) 1.0)) (fma i (+ alpha (+ beta i)) (* beta alpha)))
* [enter]simplify:  Simplifying 0
* * [misc]simplify:  iters left: 0 (1 enodes)
* [exit]simplify:  Simplified to 0
* [enter]simplify:  Simplifying (/ (* (* (/ i (+ beta (fma i 2 alpha))) (/ (+ (+ beta i) alpha) (+ beta (fma i 2 alpha)))) (fma i (+ (+ beta i) alpha) (* beta alpha))) (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ (/ 1 beta) beta) 1.0)))
* * [misc]simplify:  iters left: 6 (25 enodes)
* * [misc]simplify:  iters left: 5 (41 enodes)
* * [misc]simplify:  iters left: 4 (72 enodes)
* * [misc]simplify:  iters left: 3 (131 enodes)
* * [misc]simplify:  iters left: 2 (246 enodes)
* * [misc]simplify:  iters left: 1 (379 enodes)
* [exit]simplify:  Simplified to (* (/ (* (fma i (+ beta (+ alpha i)) (* alpha beta)) (/ i (+ (fma i 2 alpha) beta))) (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ (/ 1 beta) beta) 1.0))) (/ (+ beta (+ alpha i)) (+ (fma i 2 alpha) beta)))
* [enter]simplify:  Simplifying (* (fma (/ -1 i) (- (+ (+ (/ 1 i) (/ 1 alpha)) (/ 1 beta))) (/ (/ 1 beta) alpha)) (/ (* (/ i (+ beta (fma i 2 alpha))) (/ (+ (+ beta i) alpha) (+ beta (fma i 2 alpha)))) (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 beta) 2 (fma (/ -1 i) 2 (/ -1 alpha))) (- (/ 1 (* beta beta)) 1.0))))
* * [misc]simplify:  iters left: 6 (33 enodes)
* * [misc]simplify:  iters left: 5 (59 enodes)
* * [misc]simplify:  iters left: 4 (105 enodes)
* * [misc]simplify:  iters left: 3 (222 enodes)
* * [misc]simplify:  iters left: 2 (446 enodes)
* [exit]simplify:  Simplified to (* (/ (/ (/ (+ alpha (+ beta i)) (+ (fma i 2 alpha) beta)) (/ (+ (fma i 2 alpha) beta) i)) (fma (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 beta) 2 (fma (/ -1 i) 2 (/ -1 alpha))) (- (/ (/ 1 beta) beta) 1.0))) (fma (/ -1 i) (- (+ (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (/ (/ 1 alpha) beta)))
* [enter]simplify:  Simplifying (fma (/ (fma (/ 1 i) (+ (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))) (/ 1 (* alpha beta))) beta) (/ i (* beta beta)) 0)
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (26 enodes)
* * [misc]simplify:  iters left: 4 (29 enodes)
* * [misc]simplify:  iters left: 3 (33 enodes)
* * [misc]simplify:  iters left: 2 (35 enodes)
* [exit]simplify:  Simplified to (fma (/ (fma (/ 1 i) (+ (+ (/ 1 i) (/ 1 beta)) (/ 1 alpha)) (/ 1 (* alpha beta))) beta) (/ i (* beta beta)) 0)
* [enter]simplify:  Simplifying (/ (* (sqrt (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta)))) (sqrt (/ i (+ beta (fma i 2 alpha))))) (sqrt (- (sqr (+ beta (fma i 2 alpha))) 1.0)))
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (33 enodes)
* * [misc]simplify:  iters left: 4 (48 enodes)
* * [misc]simplify:  iters left: 3 (99 enodes)
* * [misc]simplify:  iters left: 2 (185 enodes)
* * [misc]simplify:  iters left: 1 (287 enodes)
* [exit]simplify:  Simplified to (* (sqrt (* (fma i (+ (+ alpha i) beta) (* alpha beta)) (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)))) (/ (sqrt (/ i (+ (fma i 2 alpha) beta))) (sqrt (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0))))
* [exit]simplify:  Simplified to (* (sqrt (* (fma i (+ (+ alpha i) beta) (* alpha beta)) (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)))) (/ (sqrt (/ i (+ (fma i 2 alpha) beta))) (sqrt (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0))))
* [enter]simplify:  Simplifying (* (/ (fma (/ 1 i) (+ (/ 1 alpha) (+ (/ 1 beta) (/ 1 i))) (/ 1 (* beta alpha))) (- (fma (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta) 2 (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 (* beta beta)))) 1.0)) (/ (+ (/ 1 alpha) (+ (/ 1 beta) (/ 1 i))) (* (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) (* (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)) i))))
* * [misc]simplify:  iters left: 6 (27 enodes)
* * [misc]simplify:  iters left: 5 (45 enodes)
* * [misc]simplify:  iters left: 4 (102 enodes)
* * [misc]simplify:  iters left: 3 (285 enodes)
* [exit]simplify:  Simplified to (* (/ (* (fma (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i)) (/ 1 (* alpha beta))) (/ 1 i)) (- (fma (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta) 2 (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 i) 2 (/ 1 alpha)) (/ (/ 1 beta) beta))) 1.0)) (/ (/ (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))
* [enter]simplify:  Simplifying (* (- (sqr (+ beta (fma i 2 alpha))) 1.0) (+ beta (fma i 2 alpha)))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* * [misc]simplify:  iters left: 4 (31 enodes)
* * [misc]simplify:  iters left: 3 (57 enodes)
* * [misc]simplify:  iters left: 2 (145 enodes)
* * [misc]simplify:  iters left: 1 (323 enodes)
* [exit]simplify:  Simplified to (* (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0) (+ (fma i 2 alpha) beta))
* [exit]simplify:  Simplified to (* (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0) (+ (fma i 2 alpha) beta))
* [enter]simplify:  Simplifying (/ (fma (* (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta) (/ (fma (/ 1 i) 2 (/ 1 alpha)) (/ (* beta beta) i))) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (fma (/ 1 beta) 2 (fma i 2 alpha)) (fma i 2 alpha) (- (/ (/ 1 beta) beta) 1.0))) (* (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (fma (/ 1 beta) 2 (fma i 2 alpha)) (fma i 2 alpha) (- (/ (/ 1 beta) beta) 1.0))) (- (/ i beta) (/ (fma (/ 1 i) 2 (/ 1 alpha)) (/ (* beta beta) i))))) (/ (+ beta (fma i 2 alpha)) (+ (+ beta alpha) i)))
* * [misc]simplify:  iters left: 6 (35 enodes)
* * [misc]simplify:  iters left: 5 (59 enodes)
* * [misc]simplify:  iters left: 4 (94 enodes)
* * [misc]simplify:  iters left: 3 (185 enodes)
* * [misc]simplify:  iters left: 2 (284 enodes)
* * [misc]simplify:  iters left: 1 (363 enodes)
* [exit]simplify:  Simplified to (* (/ (+ beta (+ alpha i)) (+ (fma i 2 alpha) beta)) (fma (/ (/ (fma (/ 1 i) 2 (/ 1 alpha)) (/ beta i)) (/ (* beta beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (/ (fma (/ 1 i) (+ (+ (/ 1 i) (/ 1 beta)) (/ 1 alpha)) (/ (/ 1 beta) alpha)) (fma (fma (/ 1 beta) 2 (fma i 2 alpha)) (fma i 2 alpha) (- (/ (/ 1 beta) beta) 1.0))) (* (- (/ i beta) (/ (fma (/ 1 i) 2 (/ 1 alpha)) (* beta (/ beta i)))) (/ (fma (/ 1 i) (+ (+ (/ 1 i) (/ 1 beta)) (/ 1 alpha)) (/ (/ 1 beta) alpha)) (fma (fma (/ 1 beta) 2 (fma i 2 alpha)) (fma i 2 alpha) (- (/ (/ 1 beta) beta) 1.0))))))
* [enter]simplify:  Simplifying (/ (* (/ i (+ beta (fma i 2 alpha))) (/ (+ alpha (+ beta i)) (+ beta (fma i 2 alpha)))) (/ (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ (/ 1 beta) beta) 1.0)) (fma (/ 1 i) (+ (+ (/ 1 i) (/ 1 beta)) (/ 1 alpha)) (/ (/ 1 beta) alpha))))
* * [misc]simplify:  iters left: 6 (27 enodes)
* * [misc]simplify:  iters left: 5 (47 enodes)
* * [misc]simplify:  iters left: 4 (82 enodes)
* * [misc]simplify:  iters left: 3 (165 enodes)
* * [misc]simplify:  iters left: 2 (328 enodes)
* [exit]simplify:  Simplified to (* (* (/ (+ beta (+ alpha i)) (+ (fma i 2 alpha) beta)) (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 i)) (/ 1 alpha)) (/ 1 (* alpha beta)))) (/ (/ i (+ (fma i 2 alpha) beta)) (fma (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 beta) 2 (fma (/ 1 i) 2 (/ 1 alpha))) (- (/ 1 (* beta beta)) 1.0))))
* [enter]simplify:  Simplifying (cbrt (/ (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (32 enodes)
* * [misc]simplify:  iters left: 4 (55 enodes)
* * [misc]simplify:  iters left: 3 (141 enodes)
* * [misc]simplify:  iters left: 2 (314 enodes)
* [exit]simplify:  Simplified to (cbrt (/ (* (+ beta (+ alpha i)) (* (fma i (+ beta (+ alpha i)) (* alpha beta)) (/ i (+ (fma i 2 alpha) beta)))) (* (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0) (+ (fma i 2 alpha) beta))))
* [exit]simplify:  Simplified to (cbrt (/ (* (+ beta (+ alpha i)) (* (fma i (+ beta (+ alpha i)) (* alpha beta)) (/ i (+ (fma i 2 alpha) beta)))) (* (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0) (+ (fma i 2 alpha) beta))))
* [enter]simplify:  Simplifying (fma (/ (fma (/ 1 i) (+ (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))) (/ 1 (* alpha beta))) beta) (/ i (* beta beta)) (/ (fma (/ 1 i) (+ (/ 1 i) (+ (/ 1 alpha) (/ 1 beta))) (/ 1 (* alpha beta))) (/ (/ (pow beta 4) i) (+ i alpha))))
* * [misc]simplify:  iters left: 6 (22 enodes)
* * [misc]simplify:  iters left: 5 (37 enodes)
* * [misc]simplify:  iters left: 4 (56 enodes)
* * [misc]simplify:  iters left: 3 (92 enodes)
* * [misc]simplify:  iters left: 2 (129 enodes)
* * [misc]simplify:  iters left: 1 (168 enodes)
* [exit]simplify:  Simplified to (fma (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* alpha beta))) beta) (/ (/ i beta) beta) (* (/ (+ i alpha) (/ (pow beta 4) i)) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* alpha beta)))))
* [enter]simplify:  Simplifying (/ (+ (+ beta alpha) i) (- (sqr beta) (sqr (fma i 2 alpha))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* * [misc]simplify:  iters left: 4 (26 enodes)
* * [misc]simplify:  iters left: 3 (38 enodes)
* * [misc]simplify:  iters left: 2 (44 enodes)
* [exit]simplify:  Simplified to (/ (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (- beta (fma i 2 alpha)))
* [exit]simplify:  Simplified to (/ (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (- beta (fma i 2 alpha)))